%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET876+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:40:17 EDT 2024
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET876+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed May 8 19:39:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.57 % Version: 1.5
% 0.21/0.57 % SZS status Theorem
% 0.21/0.57 % SZS output start CNFRefutation
% 0.21/0.57 fof(t17_zfmisc_1,conjecture,(![A]:(![B]:(A!=B=>disjoint(singleton(A),singleton(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_zfmisc_1)).
% 0.21/0.57 fof(c4,negated_conjecture,(~(![A]:(![B]:(A!=B=>disjoint(singleton(A),singleton(B)))))),inference(assume_negation,[status(cth)],[t17_zfmisc_1])).
% 0.21/0.57 fof(c5,negated_conjecture,(?[A]:(?[B]:(A!=B&~disjoint(singleton(A),singleton(B))))),inference(fof_nnf,[status(thm)],[c4])).
% 0.21/0.57 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(X2!=X3&~disjoint(singleton(X2),singleton(X3))))),inference(variable_rename,[status(thm)],[c5])).
% 0.21/0.57 fof(c7,negated_conjecture,(skolem0001!=skolem0002&~disjoint(singleton(skolem0001),singleton(skolem0002))),inference(skolemize,[status(esa)],[c6])).
% 0.21/0.57 cnf(c8,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.57 cnf(c9,negated_conjecture,~disjoint(singleton(skolem0001),singleton(skolem0002)),inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.57 fof(l28_zfmisc_1,axiom,(![A]:(![B]:((~in(A,B))=>disjoint(singleton(A),B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 0.21/0.57 fof(c20,plain,(![A]:(![B]:(~in(A,B)=>disjoint(singleton(A),B)))),inference(fof_simplification,[status(thm)],[l28_zfmisc_1])).
% 0.21/0.57 fof(c21,plain,(![A]:(![B]:(in(A,B)|disjoint(singleton(A),B)))),inference(fof_nnf,[status(thm)],[c20])).
% 0.21/0.57 fof(c22,plain,(![X8]:(![X9]:(in(X8,X9)|disjoint(singleton(X8),X9)))),inference(variable_rename,[status(thm)],[c21])).
% 0.21/0.57 cnf(c23,plain,in(X44,X45)|disjoint(singleton(X44),X45),inference(split_conjunct,[status(thm)],[c22])).
% 0.21/0.57 cnf(c47,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c23, c9])).
% 0.21/0.57 cnf(reflexivity,axiom,X19=X19,theory(equality)).
% 0.21/0.57 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.21/0.57 fof(c24,plain,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,[status(thm)],[d1_tarski])).
% 0.21/0.57 fof(c25,plain,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,[status(thm)],[c24])).
% 0.21/0.57 fof(c26,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|X16!=X14)&(in(X16,X15)|X16=X14)))|X15=singleton(X14))))),inference(variable_rename,[status(thm)],[c25])).
% 0.21/0.57 fof(c28,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=singleton(X10)|((~in(X12,X11)|X12=X10)&(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))),inference(skolemize,[status(esa)],[c26])).])).
% 0.21/0.57 fof(c29,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=singleton(X10)|(~in(X12,X11)|X12=X10))&(X11!=singleton(X10)|(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)|X15=singleton(X14))&((in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14)|X15=singleton(X14)))))))))),inference(distribute,[status(thm)],[c28])).
% 0.21/0.57 cnf(c30,plain,X60!=singleton(X58)|~in(X59,X60)|X59=X58,inference(split_conjunct,[status(thm)],[c29])).
% 0.21/0.57 cnf(c70,plain,~in(X68,singleton(X69))|X68=X69,inference(resolution,[status(thm)],[c30, reflexivity])).
% 0.21/0.57 cnf(c87,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c70, c47])).
% 0.21/0.57 cnf(c92,plain,$false,inference(resolution,[status(thm)],[c87, c8])).
% 0.21/0.57 % SZS output end CNFRefutation
% 0.21/0.57
% 0.21/0.57 % Initial clauses : 18
% 0.21/0.57 % Processed clauses : 33
% 0.21/0.57 % Factors computed : 2
% 0.21/0.57 % Resolvents computed: 57
% 0.21/0.57 % Tautologies deleted: 3
% 0.21/0.57 % Forward subsumed : 6
% 0.21/0.57 % Backward subsumed : 0
% 0.21/0.57 % -------- CPU Time ---------
% 0.21/0.57 % User time : 0.179 s
% 0.21/0.57 % System time : 0.019 s
% 0.21/0.57 % Total time : 0.198 s
%------------------------------------------------------------------------------