%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 1.82s 2.01s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.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 19:10:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.82/2.01 % Version: 1.5
% 1.82/2.01 % SZS status Theorem
% 1.82/2.01 % SZS output start CNFRefutation
% 1.82/2.01 fof(t18_zfmisc_1,conjecture,(![A]:(![B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)=>A=B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t18_zfmisc_1)).
% 1.82/2.01 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)=>A=B)))),inference(assume_negation,[status(cth)],[t18_zfmisc_1])).
% 1.82/2.01 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)&A!=B))),inference(fof_nnf,[status(thm)],[c4])).
% 1.82/2.01 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_intersection2(singleton(X2),singleton(X3))=singleton(X2)&X2!=X3))),inference(variable_rename,[status(thm)],[c5])).
% 1.82/2.01 fof(c7,negated_conjecture,(set_intersection2(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)&skolem0001!=skolem0002),inference(skolemize,[status(esa)],[c6])).
% 1.82/2.01 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c7])).
% 1.82/2.01 cnf(reflexivity,axiom,X20=X20,theory(equality)).
% 1.82/2.01 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 1.82/2.01 fof(c23,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])).
% 1.82/2.01 fof(c24,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)],[c23])).
% 1.82/2.01 fof(c25,plain,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|X15!=X13)&(in(X15,X14)|X15=X13)))|X14=singleton(X13))))),inference(variable_rename,[status(thm)],[c24])).
% 1.82/2.01 fof(c27,plain,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X10!=singleton(X9)|((~in(X11,X10)|X11=X9)&(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))),inference(skolemize,[status(esa)],[c25])).])).
% 1.82/2.01 fof(c28,plain,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X10!=singleton(X9)|(~in(X11,X10)|X11=X9))&(X10!=singleton(X9)|(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)|X14=singleton(X13))&((in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13)|X14=singleton(X13)))))))))),inference(distribute,[status(thm)],[c27])).
% 1.82/2.01 cnf(c29,plain,X80!=singleton(X79)|~in(X81,X80)|X81=X79,inference(split_conjunct,[status(thm)],[c28])).
% 1.82/2.01 cnf(c111,plain,~in(X83,singleton(X82))|X83=X82,inference(resolution,[status(thm)],[c29, reflexivity])).
% 1.82/2.01 fof(l30_zfmisc_1,axiom,(![A]:(![B]:(set_intersection2(A,singleton(B))=singleton(B)=>in(B,A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l30_zfmisc_1)).
% 1.82/2.01 fof(c17,plain,(![A]:(![B]:(set_intersection2(A,singleton(B))!=singleton(B)|in(B,A)))),inference(fof_nnf,[status(thm)],[l30_zfmisc_1])).
% 1.82/2.01 fof(c18,plain,(![X6]:(![X7]:(set_intersection2(X6,singleton(X7))!=singleton(X7)|in(X7,X6)))),inference(variable_rename,[status(thm)],[c17])).
% 1.82/2.01 cnf(c19,plain,set_intersection2(X72,singleton(X73))!=singleton(X73)|in(X73,X72),inference(split_conjunct,[status(thm)],[c18])).
% 1.82/2.01 fof(commutativity_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,B)=set_intersection2(B,A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 1.82/2.01 fof(c33,plain,(![X16]:(![X17]:set_intersection2(X16,X17)=set_intersection2(X17,X16))),inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0])).
% 1.82/2.01 cnf(c34,plain,set_intersection2(X45,X46)=set_intersection2(X46,X45),inference(split_conjunct,[status(thm)],[c33])).
% 1.82/2.01 cnf(transitivity,axiom,X30!=X32|X32!=X31|X30=X31,theory(equality)).
% 1.82/2.01 cnf(c8,negated_conjecture,set_intersection2(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001),inference(split_conjunct,[status(thm)],[c7])).
% 1.82/2.01 cnf(c85,plain,X246!=set_intersection2(singleton(skolem0001),singleton(skolem0002))|X246=singleton(skolem0001),inference(resolution,[status(thm)],[c8, transitivity])).
% 1.82/2.01 cnf(c659,plain,set_intersection2(singleton(skolem0002),singleton(skolem0001))=singleton(skolem0001),inference(resolution,[status(thm)],[c85, c34])).
% 1.82/2.01 cnf(c5206,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c659, c19])).
% 1.82/2.01 cnf(c5232,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c5206, c111])).
% 1.82/2.01 cnf(c5256,plain,$false,inference(resolution,[status(thm)],[c5232, c9])).
% 1.82/2.01 % SZS output end CNFRefutation
% 1.82/2.01
% 1.82/2.01 % Initial clauses : 19
% 1.82/2.01 % Processed clauses : 271
% 1.82/2.01 % Factors computed : 9
% 1.82/2.01 % Resolvents computed: 5224
% 1.82/2.01 % Tautologies deleted: 4
% 1.82/2.01 % Forward subsumed : 355
% 1.82/2.01 % Backward subsumed : 2
% 1.82/2.01 % -------- CPU Time ---------
% 1.82/2.01 % User time : 1.643 s
% 1.82/2.01 % System time : 0.020 s
% 1.82/2.01 % Total time : 1.663 s
%------------------------------------------------------------------------------