%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 17:40:25 EDT 2024
% Result : Theorem 0.46s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 19:22:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.46/0.62 % Version: 1.5
% 0.46/0.62 % SZS status Theorem
% 0.46/0.62 % SZS output start CNFRefutation
% 0.46/0.62 fof(t100_zfmisc_1,conjecture,(![A]:subset(A,powerset(union(A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t100_zfmisc_1)).
% 0.46/0.62 fof(c5,negated_conjecture,(~(![A]:subset(A,powerset(union(A))))),inference(assume_negation,[status(cth)],[t100_zfmisc_1])).
% 0.46/0.62 fof(c6,negated_conjecture,(?[A]:~subset(A,powerset(union(A)))),inference(fof_nnf,[status(thm)],[c5])).
% 0.46/0.62 fof(c7,negated_conjecture,(?[X2]:~subset(X2,powerset(union(X2)))),inference(variable_rename,[status(thm)],[c6])).
% 0.46/0.62 fof(c8,negated_conjecture,~subset(skolem0001,powerset(union(skolem0001))),inference(skolemize,[status(esa)],[c7])).
% 0.46/0.62 cnf(c9,negated_conjecture,~subset(skolem0001,powerset(union(skolem0001))),inference(split_conjunct,[status(thm)],[c8])).
% 0.46/0.62 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.46/0.62 fof(c23,plain,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[d3_tarski])).
% 0.46/0.62 fof(c24,plain,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c23])).
% 0.46/0.62 fof(c25,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(in(X13,X11)&~in(X13,X12)))|subset(X11,X12))))),inference(variable_rename,[status(thm)],[c24])).
% 0.46/0.62 fof(c27,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0004(X11,X12),X11)&~in(skolem0004(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((in(skolem0004(X11,X12),X11)&~in(skolem0004(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,[status(esa)],[c25])).])).
% 0.46/0.62 fof(c28,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0004(X11,X12),X11)|subset(X11,X12))&(~in(skolem0004(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,[status(thm)],[c27])).
% 0.46/0.62 cnf(c31,plain,~in(skolem0004(X50,X51),X51)|subset(X50,X51),inference(split_conjunct,[status(thm)],[c28])).
% 0.46/0.62 fof(l50_zfmisc_1,axiom,(![A]:(![B]:(in(A,B)=>subset(A,union(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l50_zfmisc_1)).
% 0.46/0.62 fof(c20,plain,(![A]:(![B]:(~in(A,B)|subset(A,union(B))))),inference(fof_nnf,[status(thm)],[l50_zfmisc_1])).
% 0.46/0.62 fof(c21,plain,(![X6]:(![X7]:(~in(X6,X7)|subset(X6,union(X7))))),inference(variable_rename,[status(thm)],[c20])).
% 0.46/0.62 cnf(c22,plain,~in(X43,X44)|subset(X43,union(X44)),inference(split_conjunct,[status(thm)],[c21])).
% 0.46/0.62 cnf(c30,plain,in(skolem0004(X48,X49),X48)|subset(X48,X49),inference(split_conjunct,[status(thm)],[c28])).
% 0.46/0.62 cnf(c54,plain,subset(X62,X63)|subset(skolem0004(X62,X63),union(X62)),inference(resolution,[status(thm)],[c30, c22])).
% 0.46/0.62 cnf(reflexivity,axiom,X23=X23,theory(equality)).
% 0.46/0.62 fof(d1_zfmisc_1,axiom,(![A]:(![B]:(B=powerset(A)<=>(![C]:(in(C,B)<=>subset(C,A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.46/0.62 fof(c32,plain,(![A]:(![B]:((B!=powerset(A)|(![C]:((~in(C,B)|subset(C,A))&(~subset(C,A)|in(C,B)))))&((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(fof_nnf,[status(thm)],[d1_zfmisc_1])).
% 0.46/0.62 fof(c33,plain,((![A]:(![B]:(B!=powerset(A)|((![C]:(~in(C,B)|subset(C,A)))&(![C]:(~subset(C,A)|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(shift_quantors,[status(thm)],[c32])).
% 0.46/0.62 fof(c34,plain,((![X14]:(![X15]:(X15!=powerset(X14)|((![X16]:(~in(X16,X15)|subset(X16,X14)))&(![X17]:(~subset(X17,X14)|in(X17,X15)))))))&(![X18]:(![X19]:((?[X20]:((~in(X20,X19)|~subset(X20,X18))&(in(X20,X19)|subset(X20,X18))))|X19=powerset(X18))))),inference(variable_rename,[status(thm)],[c33])).
% 0.46/0.62 fof(c36,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((X15!=powerset(X14)|((~in(X16,X15)|subset(X16,X14))&(~subset(X17,X14)|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))&(in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18)))|X19=powerset(X18))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X14]:(![X15]:(X15!=powerset(X14)|((![X16]:(~in(X16,X15)|subset(X16,X14)))&(![X17]:(~subset(X17,X14)|in(X17,X15)))))))&(![X18]:(![X19]:(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))&(in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18)))|X19=powerset(X18))))),inference(skolemize,[status(esa)],[c34])).])).
% 0.46/0.62 fof(c37,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((X15!=powerset(X14)|(~in(X16,X15)|subset(X16,X14)))&(X15!=powerset(X14)|(~subset(X17,X14)|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))|X19=powerset(X18))&((in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18))|X19=powerset(X18)))))))))),inference(distribute,[status(thm)],[c36])).
% 0.46/0.62 cnf(c39,plain,X70!=powerset(X69)|~subset(X71,X69)|in(X71,X70),inference(split_conjunct,[status(thm)],[c37])).
% 0.46/0.62 cnf(c62,plain,~subset(X77,X76)|in(X77,powerset(X76)),inference(resolution,[status(thm)],[c39, reflexivity])).
% 0.46/0.62 cnf(c70,plain,in(skolem0004(X179,X178),powerset(union(X179)))|subset(X179,X178),inference(resolution,[status(thm)],[c62, c54])).
% 0.46/0.62 cnf(c292,plain,subset(X180,powerset(union(X180))),inference(resolution,[status(thm)],[c70, c31])).
% 0.46/0.62 cnf(c307,plain,$false,inference(resolution,[status(thm)],[c292, c9])).
% 0.46/0.62 % SZS output end CNFRefutation
% 0.46/0.62
% 0.46/0.62 % Initial clauses : 21
% 0.46/0.62 % Processed clauses : 74
% 0.46/0.62 % Factors computed : 5
% 0.46/0.62 % Resolvents computed: 263
% 0.46/0.62 % Tautologies deleted: 3
% 0.46/0.62 % Forward subsumed : 23
% 0.46/0.62 % Backward subsumed : 0
% 0.46/0.62 % -------- CPU Time ---------
% 0.46/0.62 % User time : 0.237 s
% 0.46/0.62 % System time : 0.012 s
% 0.46/0.62 % Total time : 0.249 s
%------------------------------------------------------------------------------