%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET932+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:40:24 EDT 2024
% Result : Theorem 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET932+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed May 8 19:31:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.54/0.71 % Version: 1.5
% 0.54/0.71 % SZS status Theorem
% 0.54/0.71 % SZS output start CNFRefutation
% 0.54/0.71 fof(t79_zfmisc_1,conjecture,(![A]:(![B]:(subset(A,B)=>subset(powerset(A),powerset(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t79_zfmisc_1)).
% 0.54/0.71 fof(c4,negated_conjecture,(~(![A]:(![B]:(subset(A,B)=>subset(powerset(A),powerset(B)))))),inference(assume_negation,[status(cth)],[t79_zfmisc_1])).
% 0.54/0.71 fof(c5,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&~subset(powerset(A),powerset(B))))),inference(fof_nnf,[status(thm)],[c4])).
% 0.54/0.71 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(subset(X2,X3)&~subset(powerset(X2),powerset(X3))))),inference(variable_rename,[status(thm)],[c5])).
% 0.54/0.71 fof(c7,negated_conjecture,(subset(skolem0001,skolem0002)&~subset(powerset(skolem0001),powerset(skolem0002))),inference(skolemize,[status(esa)],[c6])).
% 0.54/0.71 cnf(c9,negated_conjecture,~subset(powerset(skolem0001),powerset(skolem0002)),inference(split_conjunct,[status(thm)],[c7])).
% 0.54/0.71 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)).
% 0.54/0.71 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])).
% 0.54/0.71 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])).
% 0.54/0.71 fof(c25,plain,((![X10]:(![X11]:(~subset(X10,X11)|(![X12]:(~in(X12,X10)|in(X12,X11))))))&(![X13]:(![X14]:((?[X15]:(in(X15,X13)&~in(X15,X14)))|subset(X13,X14))))),inference(variable_rename,[status(thm)],[c24])).
% 0.54/0.71 fof(c27,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X10,X11)|(~in(X12,X10)|in(X12,X11)))&((in(skolem0005(X13,X14),X13)&~in(skolem0005(X13,X14),X14))|subset(X13,X14)))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X10]:(![X11]:(~subset(X10,X11)|(![X12]:(~in(X12,X10)|in(X12,X11))))))&(![X13]:(![X14]:((in(skolem0005(X13,X14),X13)&~in(skolem0005(X13,X14),X14))|subset(X13,X14))))),inference(skolemize,[status(esa)],[c25])).])).
% 0.54/0.71 fof(c28,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X10,X11)|(~in(X12,X10)|in(X12,X11)))&((in(skolem0005(X13,X14),X13)|subset(X13,X14))&(~in(skolem0005(X13,X14),X14)|subset(X13,X14))))))))),inference(distribute,[status(thm)],[c27])).
% 0.54/0.71 cnf(c31,plain,~in(skolem0005(X44,X45),X45)|subset(X44,X45),inference(split_conjunct,[status(thm)],[c28])).
% 0.54/0.71 cnf(reflexivity,axiom,X25=X25,theory(equality)).
% 0.54/0.71 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)).
% 0.54/0.71 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])).
% 0.54/0.71 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])).
% 0.54/0.71 fof(c34,plain,((![X16]:(![X17]:(X17!=powerset(X16)|((![X18]:(~in(X18,X17)|subset(X18,X16)))&(![X19]:(~subset(X19,X16)|in(X19,X17)))))))&(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|~subset(X22,X20))&(in(X22,X21)|subset(X22,X20))))|X21=powerset(X20))))),inference(variable_rename,[status(thm)],[c33])).
% 0.54/0.71 fof(c36,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X17!=powerset(X16)|((~in(X18,X17)|subset(X18,X16))&(~subset(X19,X16)|in(X19,X17))))&(((~in(skolem0006(X20,X21),X21)|~subset(skolem0006(X20,X21),X20))&(in(skolem0006(X20,X21),X21)|subset(skolem0006(X20,X21),X20)))|X21=powerset(X20))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X16]:(![X17]:(X17!=powerset(X16)|((![X18]:(~in(X18,X17)|subset(X18,X16)))&(![X19]:(~subset(X19,X16)|in(X19,X17)))))))&(![X20]:(![X21]:(((~in(skolem0006(X20,X21),X21)|~subset(skolem0006(X20,X21),X20))&(in(skolem0006(X20,X21),X21)|subset(skolem0006(X20,X21),X20)))|X21=powerset(X20))))),inference(skolemize,[status(esa)],[c34])).])).
% 0.54/0.71 fof(c37,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X17!=powerset(X16)|(~in(X18,X17)|subset(X18,X16)))&(X17!=powerset(X16)|(~subset(X19,X16)|in(X19,X17))))&(((~in(skolem0006(X20,X21),X21)|~subset(skolem0006(X20,X21),X20))|X21=powerset(X20))&((in(skolem0006(X20,X21),X21)|subset(skolem0006(X20,X21),X20))|X21=powerset(X20)))))))))),inference(distribute,[status(thm)],[c36])).
% 0.54/0.71 cnf(c39,plain,X87!=powerset(X85)|~subset(X86,X85)|in(X86,X87),inference(split_conjunct,[status(thm)],[c37])).
% 0.54/0.71 cnf(c78,plain,~subset(X89,X88)|in(X89,powerset(X88)),inference(resolution,[status(thm)],[c39, reflexivity])).
% 0.54/0.71 cnf(c8,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c7])).
% 0.54/0.71 fof(t1_xboole_1,axiom,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.54/0.71 fof(c10,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,[status(thm)],[t1_xboole_1])).
% 0.54/0.71 fof(c11,plain,(![X4]:(![X5]:(![X6]:((~subset(X4,X5)|~subset(X5,X6))|subset(X4,X6))))),inference(variable_rename,[status(thm)],[c10])).
% 0.54/0.71 cnf(c12,plain,~subset(X52,X54)|~subset(X54,X53)|subset(X52,X53),inference(split_conjunct,[status(thm)],[c11])).
% 0.54/0.71 cnf(c57,plain,~subset(X62,skolem0001)|subset(X62,skolem0002),inference(resolution,[status(thm)],[c12, c8])).
% 0.54/0.71 cnf(c38,plain,X81!=powerset(X79)|~in(X80,X81)|subset(X80,X79),inference(split_conjunct,[status(thm)],[c37])).
% 0.54/0.71 cnf(c75,plain,~in(X83,powerset(X82))|subset(X83,X82),inference(resolution,[status(thm)],[c38, reflexivity])).
% 0.54/0.71 cnf(c30,plain,in(skolem0005(X42,X43),X42)|subset(X42,X43),inference(split_conjunct,[status(thm)],[c28])).
% 0.54/0.71 cnf(c52,plain,in(skolem0005(powerset(skolem0001),powerset(skolem0002)),powerset(skolem0001)),inference(resolution,[status(thm)],[c30, c9])).
% 0.54/0.71 cnf(c128,plain,subset(skolem0005(powerset(skolem0001),powerset(skolem0002)),skolem0001),inference(resolution,[status(thm)],[c52, c75])).
% 0.54/0.71 cnf(c175,plain,subset(skolem0005(powerset(skolem0001),powerset(skolem0002)),skolem0002),inference(resolution,[status(thm)],[c128, c57])).
% 0.54/0.71 cnf(c218,plain,in(skolem0005(powerset(skolem0001),powerset(skolem0002)),powerset(skolem0002)),inference(resolution,[status(thm)],[c175, c78])).
% 0.54/0.71 cnf(c688,plain,subset(powerset(skolem0001),powerset(skolem0002)),inference(resolution,[status(thm)],[c218, c31])).
% 0.54/0.71 cnf(c690,plain,$false,inference(resolution,[status(thm)],[c688, c9])).
% 0.54/0.71 % SZS output end CNFRefutation
% 0.54/0.71
% 0.54/0.71 % Initial clauses : 21
% 0.54/0.71 % Processed clauses : 106
% 0.54/0.71 % Factors computed : 8
% 0.54/0.71 % Resolvents computed: 683
% 0.54/0.71 % Tautologies deleted: 5
% 0.54/0.71 % Forward subsumed : 57
% 0.54/0.71 % Backward subsumed : 0
% 0.54/0.71 % -------- CPU Time ---------
% 0.54/0.71 % User time : 0.369 s
% 0.54/0.71 % System time : 0.012 s
% 0.54/0.71 % Total time : 0.381 s
%------------------------------------------------------------------------------