%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET912+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 : 300s
% DateTime : Thu May 9 17:40:21 EDT 2024
% Result : Theorem 21.80s 21.98s
% Output : Refutation 21.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET912+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n015.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 : 300
% 0.13/0.34 % DateTime : Wed May 8 18:40:53 EDT 2024
% 0.19/0.34 % CPUTime :
% 21.80/21.98 % Version: 1.5
% 21.80/21.98 % SZS status Theorem
% 21.80/21.98 % SZS output start CNFRefutation
% 21.80/21.98 fof(t53_zfmisc_1,conjecture,(![A]:(![B]:(![C]:((in(A,B)&in(C,B))=>set_intersection2(unordered_pair(A,C),B)=unordered_pair(A,C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t53_zfmisc_1)).
% 21.80/21.98 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:((in(A,B)&in(C,B))=>set_intersection2(unordered_pair(A,C),B)=unordered_pair(A,C)))))),inference(assume_negation,[status(cth)],[t53_zfmisc_1])).
% 21.80/21.98 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:((in(A,B)&in(C,B))&set_intersection2(unordered_pair(A,C),B)!=unordered_pair(A,C))))),inference(fof_nnf,[status(thm)],[c5])).
% 21.80/21.98 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((in(X2,X3)&in(X4,X3))&set_intersection2(unordered_pair(X2,X4),X3)!=unordered_pair(X2,X4))))),inference(variable_rename,[status(thm)],[c6])).
% 21.80/21.98 fof(c8,negated_conjecture,((in(skolem0001,skolem0002)&in(skolem0003,skolem0002))&set_intersection2(unordered_pair(skolem0001,skolem0003),skolem0002)!=unordered_pair(skolem0001,skolem0003)),inference(skolemize,[status(esa)],[c7])).
% 21.80/21.98 cnf(c11,negated_conjecture,set_intersection2(unordered_pair(skolem0001,skolem0003),skolem0002)!=unordered_pair(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c8])).
% 21.80/21.98 fof(t28_xboole_1,axiom,(![A]:(![B]:(subset(A,B)=>set_intersection2(A,B)=A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t28_xboole_1)).
% 21.80/21.98 fof(c20,plain,(![A]:(![B]:(~subset(A,B)|set_intersection2(A,B)=A))),inference(fof_nnf,[status(thm)],[t28_xboole_1])).
% 21.80/21.98 fof(c21,plain,(![X11]:(![X12]:(~subset(X11,X12)|set_intersection2(X11,X12)=X11))),inference(variable_rename,[status(thm)],[c20])).
% 21.80/21.98 cnf(c22,plain,~subset(X83,X84)|set_intersection2(X83,X84)=X83,inference(split_conjunct,[status(thm)],[c21])).
% 21.80/21.98 cnf(c9,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 21.80/21.98 cnf(c10,negated_conjecture,in(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 21.80/21.98 fof(t38_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(unordered_pair(A,B),C)<=>(in(A,C)&in(B,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t38_zfmisc_1)).
% 21.80/21.98 fof(c12,plain,(![A]:(![B]:(![C]:((~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&((~in(A,C)|~in(B,C))|subset(unordered_pair(A,B),C)))))),inference(fof_nnf,[status(thm)],[t38_zfmisc_1])).
% 21.80/21.98 fof(c13,plain,((![A]:(![B]:(![C]:(~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C))))))&(![A]:(![B]:(![C]:((~in(A,C)|~in(B,C))|subset(unordered_pair(A,B),C)))))),inference(shift_quantors,[status(thm)],[c12])).
% 21.80/21.98 fof(c15,plain,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((~subset(unordered_pair(X5,X6),X7)|(in(X5,X7)&in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10))))))))),inference(shift_quantors,[status(thm)],[fof(c14,plain,((![X5]:(![X6]:(![X7]:(~subset(unordered_pair(X5,X6),X7)|(in(X5,X7)&in(X6,X7))))))&(![X8]:(![X9]:(![X10]:((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10)))))),inference(variable_rename,[status(thm)],[c13])).])).
% 21.80/21.98 fof(c16,plain,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(((~subset(unordered_pair(X5,X6),X7)|in(X5,X7))&(~subset(unordered_pair(X5,X6),X7)|in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10))))))))),inference(distribute,[status(thm)],[c15])).
% 21.80/21.98 cnf(c19,plain,~in(X95,X96)|~in(X94,X96)|subset(unordered_pair(X95,X94),X96),inference(split_conjunct,[status(thm)],[c16])).
% 21.80/21.98 cnf(c99,plain,~in(X305,skolem0002)|subset(unordered_pair(X305,skolem0003),skolem0002),inference(resolution,[status(thm)],[c19, c10])).
% 21.80/21.98 cnf(c758,plain,subset(unordered_pair(skolem0001,skolem0003),skolem0002),inference(resolution,[status(thm)],[c99, c9])).
% 21.80/21.98 cnf(c761,plain,set_intersection2(unordered_pair(skolem0001,skolem0003),skolem0002)=unordered_pair(skolem0001,skolem0003),inference(resolution,[status(thm)],[c758, c22])).
% 21.80/21.98 cnf(c39467,plain,$false,inference(resolution,[status(thm)],[c761, c11])).
% 21.80/21.98 % SZS output end CNFRefutation
% 21.80/21.98
% 21.80/21.98 % Initial clauses : 22
% 21.80/21.98 % Processed clauses : 1055
% 21.80/21.98 % Factors computed : 10
% 21.80/21.98 % Resolvents computed: 39442
% 21.80/21.98 % Tautologies deleted: 3
% 21.80/21.98 % Forward subsumed : 1714
% 21.80/21.98 % Backward subsumed : 38
% 21.80/21.98 % -------- CPU Time ---------
% 21.80/21.98 % User time : 21.548 s
% 21.80/21.98 % System time : 0.084 s
% 21.80/21.98 % Total time : 21.632 s
%------------------------------------------------------------------------------