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ex16.out
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ex16.out
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============================== Prover9 ===============================
Prover9 (64) version 2009-11A, November 2009.
Process 6420 was started by qwang on grid01,
Wed Jun 26 22:33:07 2019
The command was "prover9 -f ex16.in".
============================== end of head ===========================
============================== INPUT =================================
% Reading from file ex16.in
formulas(sos).
(all x (goodgrade(x) -> brilliant(x) | study(x))).
(all x (csmajor(x) -> (exists y roommate(y,x)))).
(all x ((exists y (roommate(y,x) & likeparty(y))) -> sixthstreet(x))).
(all x (sixthstreet(x) -> -study(x))).
end_of_list.
formulas(goals).
(all x (csmajor(x) -> (all y (roommate(y,x) -> likeparty(y))))) -> (all x (csmajor(x) & goodgrade(x) -> brilliant(x))).
end_of_list.
============================== end of input ==========================
============================== PROCESS NON-CLAUSAL FORMULAS ==========
% Formulas that are not ordinary clauses:
1 (all x (goodgrade(x) -> brilliant(x) | study(x))) # label(non_clause). [assumption].
2 (all x (csmajor(x) -> (exists y roommate(y,x)))) # label(non_clause). [assumption].
3 (all x ((exists y (roommate(y,x) & likeparty(y))) -> sixthstreet(x))) # label(non_clause). [assumption].
4 (all x (sixthstreet(x) -> -study(x))) # label(non_clause). [assumption].
5 (all x (csmajor(x) -> (all y (roommate(y,x) -> likeparty(y))))) -> (all x (csmajor(x) & goodgrade(x) -> brilliant(x))) # label(non_clause) # label(goal). [goal].
============================== end of process non-clausal formulas ===
============================== PROCESS INITIAL CLAUSES ===============
% Clauses before input processing:
formulas(usable).
end_of_list.
formulas(sos).
-goodgrade(x) | brilliant(x) | study(x). [clausify(1)].
-csmajor(x) | roommate(f1(x),x). [clausify(2)].
-roommate(x,y) | -likeparty(x) | sixthstreet(y). [clausify(3)].
-sixthstreet(x) | -study(x). [clausify(4)].
-csmajor(x) | -roommate(y,x) | likeparty(y). [deny(5)].
csmajor(c1). [deny(5)].
goodgrade(c1). [deny(5)].
-brilliant(c1). [deny(5)].
end_of_list.
formulas(demodulators).
end_of_list.
============================== PREDICATE ELIMINATION =================
Eliminating goodgrade/1
6 goodgrade(c1). [deny(5)].
7 -goodgrade(x) | brilliant(x) | study(x). [clausify(1)].
Derived: brilliant(c1) | study(c1). [resolve(6,a,7,a)].
Eliminating csmajor/1
8 csmajor(c1). [deny(5)].
9 -csmajor(x) | roommate(f1(x),x). [clausify(2)].
10 -csmajor(x) | -roommate(y,x) | likeparty(y). [deny(5)].
Derived: roommate(f1(c1),c1). [resolve(8,a,9,a)].
Derived: -roommate(x,c1) | likeparty(x). [resolve(8,a,10,a)].
Eliminating roommate/2
11 roommate(f1(c1),c1). [resolve(8,a,9,a)].
12 -roommate(x,y) | -likeparty(x) | sixthstreet(y). [clausify(3)].
Derived: -likeparty(f1(c1)) | sixthstreet(c1). [resolve(11,a,12,a)].
13 -roommate(x,c1) | likeparty(x). [resolve(8,a,10,a)].
Derived: likeparty(f1(c1)). [resolve(13,a,11,a)].
Eliminating sixthstreet/1
14 -likeparty(f1(c1)) | sixthstreet(c1). [resolve(11,a,12,a)].
15 -sixthstreet(x) | -study(x). [clausify(4)].
Derived: -likeparty(f1(c1)) | -study(c1). [resolve(14,b,15,a)].
Eliminating brilliant/1
16 brilliant(c1) | study(c1). [resolve(6,a,7,a)].
17 -brilliant(c1). [deny(5)].
Derived: study(c1). [resolve(16,a,17,a)].
Eliminating likeparty/1
18 -likeparty(f1(c1)) | -study(c1). [resolve(14,b,15,a)].
19 likeparty(f1(c1)). [resolve(13,a,11,a)].
Derived: -study(c1). [resolve(18,a,19,a)].
Eliminating study/1
20 -study(c1). [resolve(18,a,19,a)].
21 study(c1). [resolve(16,a,17,a)].
Derived: $F. [resolve(20,a,21,a)].
============================== end predicate elimination =============
Auto_denials: (no changes).
Term ordering decisions:
Predicate symbol precedence: predicate_order([ ]).
Function symbol precedence: function_order([ ]).
After inverse_order: (no changes).
Unfolding symbols: (none).
Auto_inference settings:
% set(neg_binary_resolution). % (HNE depth_diff=0)
% clear(ordered_res). % (HNE depth_diff=0)
% set(ur_resolution). % (HNE depth_diff=0)
% set(ur_resolution) -> set(pos_ur_resolution).
% set(ur_resolution) -> set(neg_ur_resolution).
Auto_process settings: (no changes).
============================== PROOF =================================
% Proof 1 at 0.00 (+ 0.00) seconds.
% Length of proof is 22.
% Level of proof is 6.
% Maximum clause weight is 0.000.
% Given clauses 0.
1 (all x (goodgrade(x) -> brilliant(x) | study(x))) # label(non_clause). [assumption].
2 (all x (csmajor(x) -> (exists y roommate(y,x)))) # label(non_clause). [assumption].
3 (all x ((exists y (roommate(y,x) & likeparty(y))) -> sixthstreet(x))) # label(non_clause). [assumption].
4 (all x (sixthstreet(x) -> -study(x))) # label(non_clause). [assumption].
5 (all x (csmajor(x) -> (all y (roommate(y,x) -> likeparty(y))))) -> (all x (csmajor(x) & goodgrade(x) -> brilliant(x))) # label(non_clause) # label(goal). [goal].
6 goodgrade(c1). [deny(5)].
7 -goodgrade(x) | brilliant(x) | study(x). [clausify(1)].
8 csmajor(c1). [deny(5)].
9 -csmajor(x) | roommate(f1(x),x). [clausify(2)].
10 -csmajor(x) | -roommate(y,x) | likeparty(y). [deny(5)].
11 roommate(f1(c1),c1). [resolve(8,a,9,a)].
12 -roommate(x,y) | -likeparty(x) | sixthstreet(y). [clausify(3)].
13 -roommate(x,c1) | likeparty(x). [resolve(8,a,10,a)].
14 -likeparty(f1(c1)) | sixthstreet(c1). [resolve(11,a,12,a)].
15 -sixthstreet(x) | -study(x). [clausify(4)].
16 brilliant(c1) | study(c1). [resolve(6,a,7,a)].
17 -brilliant(c1). [deny(5)].
18 -likeparty(f1(c1)) | -study(c1). [resolve(14,b,15,a)].
19 likeparty(f1(c1)). [resolve(13,a,11,a)].
20 -study(c1). [resolve(18,a,19,a)].
21 study(c1). [resolve(16,a,17,a)].
22 $F. [resolve(20,a,21,a)].
============================== end of proof ==========================
============================== STATISTICS ============================
Given=0. Generated=1. Kept=0. proofs=1.
Usable=0. Sos=0. Demods=0. Limbo=0, Disabled=17. Hints=0.
Kept_by_rule=0, Deleted_by_rule=0.
Forward_subsumed=0. Back_subsumed=0.
Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0.
New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0.
Demod_attempts=0. Demod_rewrites=0.
Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
Nonunit_fsub_feature_tests=0. Nonunit_bsub_feature_tests=0.
Megabytes=0.04.
User_CPU=0.00, System_CPU=0.00, Wall_clock=0.
============================== end of statistics =====================
============================== end of search =========================
THEOREM PROVED
Exiting with 1 proof.
Process 6420 exit (max_proofs) Wed Jun 26 22:33:07 2019