TSTP Solution File: SEU123+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU123+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 13:35:44 EDT 2022
% Result : Theorem 0.81s 1.02s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.31 % Computer : n008.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 600
% 0.09/0.31 % DateTime : Sun Jun 19 17:00:37 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.81/1.02 # Version: 1.3
% 0.81/1.02 # SZS status Theorem
% 0.81/1.02 # SZS output start CNFRefutation
% 0.81/1.02 fof(t3_xboole_1,conjecture,(![A]:(subset(A,empty_set)=>A=empty_set)),input).
% 0.81/1.02 fof(c22,negated_conjecture,(~(![A]:(subset(A,empty_set)=>A=empty_set))),inference(assume_negation,status(cth),[t3_xboole_1])).
% 0.81/1.02 fof(c23,negated_conjecture,(?[A]:(subset(A,empty_set)&A!=empty_set)),inference(fof_nnf,status(thm),[c22])).
% 0.81/1.02 fof(c24,negated_conjecture,(?[X13]:(subset(X13,empty_set)&X13!=empty_set)),inference(variable_rename,status(thm),[c23])).
% 0.81/1.02 fof(c25,negated_conjecture,(subset(skolem0002,empty_set)&skolem0002!=empty_set),inference(skolemize,status(esa),[c24])).
% 0.81/1.02 cnf(c27,negated_conjecture,skolem0002!=empty_set,inference(split_conjunct,status(thm),[c25])).
% 0.81/1.02 cnf(symmetry,axiom,X64!=X63|X63=X64,eq_axiom).
% 0.81/1.02 fof(t2_xboole_1,plain,(![A]:subset(empty_set,A)),input).
% 0.81/1.02 fof(c38,plain,(![X20]:subset(empty_set,X20)),inference(variable_rename,status(thm),[t2_xboole_1])).
% 0.81/1.02 cnf(c39,plain,subset(empty_set,X66),inference(split_conjunct,status(thm),[c38])).
% 0.81/1.02 cnf(c26,negated_conjecture,subset(skolem0002,empty_set),inference(split_conjunct,status(thm),[c25])).
% 0.81/1.02 fof(t1_xboole_1,plain,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),input).
% 0.81/1.02 fof(c40,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,status(thm),[t1_xboole_1])).
% 0.81/1.02 fof(c41,plain,(![X21]:(![X22]:(![X23]:((~subset(X21,X22)|~subset(X22,X23))|subset(X21,X23))))),inference(variable_rename,status(thm),[c40])).
% 0.81/1.02 cnf(c42,plain,~subset(X153,X154)|~subset(X154,X155)|subset(X153,X155),inference(split_conjunct,status(thm),[c41])).
% 0.81/1.02 cnf(c229,plain,~subset(X179,empty_set)|subset(X179,X180),inference(resolution,status(thm),[c42, c39])).
% 0.81/1.02 cnf(c264,plain,subset(skolem0002,X185),inference(resolution,status(thm),[c229, c26])).
% 0.81/1.02 fof(d10_xboole_0,axiom,(![A]:(![B]:(A=B<=>(subset(A,B)&subset(B,A))))),input).
% 0.81/1.02 fof(c97,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])).
% 0.81/1.02 fof(c98,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),[c97])).
% 0.81/1.02 fof(c100,axiom,(![X53]:(![X54]:(![X55]:(![X56]:((X53!=X54|(subset(X53,X54)&subset(X54,X53)))&((~subset(X55,X56)|~subset(X56,X55))|X55=X56)))))),inference(shift_quantors,status(thm),[fof(c99,axiom,((![X53]:(![X54]:(X53!=X54|(subset(X53,X54)&subset(X54,X53)))))&(![X55]:(![X56]:((~subset(X55,X56)|~subset(X56,X55))|X55=X56)))),inference(variable_rename,status(thm),[c98])).])).
% 0.81/1.02 fof(c101,axiom,(![X53]:(![X54]:(![X55]:(![X56]:(((X53!=X54|subset(X53,X54))&(X53!=X54|subset(X54,X53)))&((~subset(X55,X56)|~subset(X56,X55))|X55=X56)))))),inference(distribute,status(thm),[c100])).
% 0.81/1.02 cnf(c104,axiom,~subset(X280,X281)|~subset(X281,X280)|X280=X281,inference(split_conjunct,status(thm),[c101])).
% 0.81/1.02 cnf(c471,plain,~subset(X537,skolem0002)|X537=skolem0002,inference(resolution,status(thm),[c104, c264])).
% 0.81/1.02 cnf(c1120,plain,empty_set=skolem0002,inference(resolution,status(thm),[c471, c39])).
% 0.81/1.02 cnf(c1136,plain,skolem0002=empty_set,inference(resolution,status(thm),[c1120, symmetry])).
% 0.81/1.02 cnf(c1186,plain,$false,inference(resolution,status(thm),[c1136, c27])).
% 0.81/1.02 # SZS output end CNFRefutation
% 0.81/1.02
% 0.81/1.02 # Initial clauses : 46
% 0.81/1.02 # Processed clauses : 155
% 0.81/1.02 # Factors computed : 2
% 0.81/1.02 # Resolvents computed: 1079
% 0.81/1.02 # Tautologies deleted: 8
% 0.81/1.02 # Forward subsumed : 201
% 0.81/1.02 # Backward subsumed : 12
% 0.81/1.02 # -------- CPU Time ---------
% 0.81/1.02 # User time : 0.695 s
% 0.81/1.02 # System time : 0.017 s
% 0.81/1.02 # Total time : 0.712 s
%------------------------------------------------------------------------------