TSTP Solution File: SEU130+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 13:35:47 EDT 2022
% Result : Theorem 12.24s 12.46s
% Output : Refutation 12.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 03:31:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 12.24/12.46 # Version: 1.3
% 12.24/12.46 # SZS status Theorem
% 12.24/12.46 # SZS output start CNFRefutation
% 12.24/12.46 fof(t28_xboole_1,conjecture,(![A]:(![B]:(subset(A,B)=>set_intersection2(A,B)=A))),input).
% 12.24/12.46 fof(c45,negated_conjecture,(~(![A]:(![B]:(subset(A,B)=>set_intersection2(A,B)=A)))),inference(assume_negation,status(cth),[t28_xboole_1])).
% 12.24/12.46 fof(c46,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&set_intersection2(A,B)!=A))),inference(fof_nnf,status(thm),[c45])).
% 12.24/12.46 fof(c47,negated_conjecture,(?[X27]:(?[X28]:(subset(X27,X28)&set_intersection2(X27,X28)!=X27))),inference(variable_rename,status(thm),[c46])).
% 12.24/12.46 fof(c48,negated_conjecture,(subset(skolem0003,skolem0004)&set_intersection2(skolem0003,skolem0004)!=skolem0003),inference(skolemize,status(esa),[c47])).
% 12.24/12.46 cnf(c50,negated_conjecture,set_intersection2(skolem0003,skolem0004)!=skolem0003,inference(split_conjunct,status(thm),[c48])).
% 12.24/12.46 cnf(symmetry,axiom,X99!=X98|X98=X99,eq_axiom).
% 12.24/12.46 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),input).
% 12.24/12.46 fof(c72,axiom,(![A]:subset(A,A)),inference(fof_simplification,status(thm),[reflexivity_r1_tarski])).
% 12.24/12.46 fof(c73,axiom,(![X45]:subset(X45,X45)),inference(variable_rename,status(thm),[c72])).
% 12.24/12.46 cnf(c74,axiom,subset(X97,X97),inference(split_conjunct,status(thm),[c73])).
% 12.24/12.46 cnf(c49,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c48])).
% 12.24/12.46 fof(t19_xboole_1,plain,(![A]:(![B]:(![C]:((subset(A,B)&subset(A,C))=>subset(A,set_intersection2(B,C)))))),input).
% 12.24/12.46 fof(c61,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(A,C))|subset(A,set_intersection2(B,C)))))),inference(fof_nnf,status(thm),[t19_xboole_1])).
% 12.24/12.46 fof(c62,plain,(![X36]:(![X37]:(![X38]:((~subset(X36,X37)|~subset(X36,X38))|subset(X36,set_intersection2(X37,X38)))))),inference(variable_rename,status(thm),[c61])).
% 12.24/12.46 cnf(c63,plain,~subset(X233,X235)|~subset(X233,X234)|subset(X233,set_intersection2(X235,X234)),inference(split_conjunct,status(thm),[c62])).
% 12.24/12.46 cnf(c401,plain,~subset(skolem0003,X1307)|subset(skolem0003,set_intersection2(X1307,skolem0004)),inference(resolution,status(thm),[c63, c49])).
% 12.24/12.46 cnf(c4840,plain,subset(skolem0003,set_intersection2(skolem0003,skolem0004)),inference(resolution,status(thm),[c401, c74])).
% 12.24/12.46 fof(t17_xboole_1,plain,(![A]:(![B]:subset(set_intersection2(A,B),A))),input).
% 12.24/12.46 fof(c64,plain,(![X39]:(![X40]:subset(set_intersection2(X39,X40),X39))),inference(variable_rename,status(thm),[t17_xboole_1])).
% 12.24/12.46 cnf(c65,plain,subset(set_intersection2(X110,X109),X110),inference(split_conjunct,status(thm),[c64])).
% 12.24/12.46 fof(d10_xboole_0,axiom,(![A]:(![B]:(A=B<=>(subset(A,B)&subset(B,A))))),input).
% 12.24/12.46 fof(c151,axiom,(![A]:(![B]:((A!=B|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|A=B)))),inference(fof_nnf,status(thm),[d10_xboole_0])).
% 12.24/12.46 fof(c152,axiom,((![A]:(![B]:(A!=B|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|A=B)))),inference(shift_quantors,status(thm),[c151])).
% 12.24/12.46 fof(c154,axiom,(![X86]:(![X87]:(![X88]:(![X89]:((X86!=X87|(subset(X86,X87)&subset(X87,X86)))&((~subset(X88,X89)|~subset(X89,X88))|X88=X89)))))),inference(shift_quantors,status(thm),[fof(c153,axiom,((![X86]:(![X87]:(X86!=X87|(subset(X86,X87)&subset(X87,X86)))))&(![X88]:(![X89]:((~subset(X88,X89)|~subset(X89,X88))|X88=X89)))),inference(variable_rename,status(thm),[c152])).])).
% 12.24/12.46 fof(c155,axiom,(![X86]:(![X87]:(![X88]:(![X89]:(((X86!=X87|subset(X86,X87))&(X86!=X87|subset(X87,X86)))&((~subset(X88,X89)|~subset(X89,X88))|X88=X89)))))),inference(distribute,status(thm),[c154])).
% 12.24/12.46 cnf(c158,axiom,~subset(X425,X426)|~subset(X426,X425)|X425=X426,inference(split_conjunct,status(thm),[c155])).
% 12.24/12.46 cnf(c827,plain,~subset(X4023,set_intersection2(X4023,X4022))|X4023=set_intersection2(X4023,X4022),inference(resolution,status(thm),[c158, c65])).
% 12.24/12.46 cnf(c30212,plain,skolem0003=set_intersection2(skolem0003,skolem0004),inference(resolution,status(thm),[c827, c4840])).
% 12.24/12.46 cnf(c30769,plain,set_intersection2(skolem0003,skolem0004)=skolem0003,inference(resolution,status(thm),[c30212, symmetry])).
% 12.24/12.46 cnf(c32578,plain,$false,inference(resolution,status(thm),[c30769, c50])).
% 12.24/12.46 # SZS output end CNFRefutation
% 12.24/12.46
% 12.24/12.46 # Initial clauses : 67
% 12.24/12.46 # Processed clauses : 789
% 12.24/12.46 # Factors computed : 51
% 12.24/12.46 # Resolvents computed: 32409
% 12.24/12.46 # Tautologies deleted: 53
% 12.24/12.46 # Forward subsumed : 2021
% 12.24/12.46 # Backward subsumed : 46
% 12.24/12.46 # -------- CPU Time ---------
% 12.24/12.46 # User time : 12.025 s
% 12.24/12.46 # System time : 0.066 s
% 12.24/12.46 # Total time : 12.091 s
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