%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:40:20 EDT 2024
% Result : Theorem 0.46s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 19:10:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.46/0.63 % Version: 1.5
% 0.46/0.63 % SZS status Theorem
% 0.46/0.63 % SZS output start CNFRefutation
% 0.46/0.63 cnf(reflexivity,axiom,X35=X35,theory(equality)).
% 0.46/0.63 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.46/0.63 fof(c44,plain,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,[status(thm)],[d1_xboole_0])).
% 0.46/0.63 fof(c45,plain,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,[status(thm)],[c44])).
% 0.46/0.63 fof(c46,plain,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,[status(thm)],[c45])).
% 0.46/0.63 fof(c47,plain,((![X20]:(X20!=empty_set|(![X21]:~in(X21,X20))))&(![X22]:((?[X23]:in(X23,X22))|X22=empty_set))),inference(variable_rename,[status(thm)],[c46])).
% 0.46/0.63 fof(c49,plain,(![X20]:(![X21]:(![X22]:((X20!=empty_set|~in(X21,X20))&(in(skolem0006(X22),X22)|X22=empty_set))))),inference(shift_quantors,[status(thm)],[fof(c48,plain,((![X20]:(X20!=empty_set|(![X21]:~in(X21,X20))))&(![X22]:(in(skolem0006(X22),X22)|X22=empty_set))),inference(skolemize,[status(esa)],[c47])).])).
% 0.46/0.63 cnf(c50,plain,X55!=empty_set|~in(X56,X55),inference(split_conjunct,[status(thm)],[c49])).
% 0.46/0.63 fof(d2_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_union2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)|in(D,B)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.46/0.63 fof(c32,plain,(![A]:(![B]:(![C]:((C!=set_union2(A,B)|(![D]:((~in(D,C)|(in(D,A)|in(D,B)))&((~in(D,A)&~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(fof_nnf,[status(thm)],[d2_xboole_0])).
% 0.46/0.63 fof(c33,plain,((![A]:(![B]:(![C]:(C!=set_union2(A,B)|((![D]:(~in(D,C)|(in(D,A)|in(D,B))))&(![D]:((~in(D,A)&~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(shift_quantors,[status(thm)],[c32])).
% 0.46/0.63 fof(c34,plain,((![X11]:(![X12]:(![X13]:(X13!=set_union2(X11,X12)|((![X14]:(~in(X14,X13)|(in(X14,X11)|in(X14,X12))))&(![X15]:((~in(X15,X11)&~in(X15,X12))|in(X15,X13))))))))&(![X16]:(![X17]:(![X18]:((?[X19]:((~in(X19,X18)|(~in(X19,X16)&~in(X19,X17)))&(in(X19,X18)|(in(X19,X16)|in(X19,X17)))))|X18=set_union2(X16,X17)))))),inference(variable_rename,[status(thm)],[c33])).
% 0.46/0.63 fof(c36,plain,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((X13!=set_union2(X11,X12)|((~in(X14,X13)|(in(X14,X11)|in(X14,X12)))&((~in(X15,X11)&~in(X15,X12))|in(X15,X13))))&(((~in(skolem0005(X16,X17,X18),X18)|(~in(skolem0005(X16,X17,X18),X16)&~in(skolem0005(X16,X17,X18),X17)))&(in(skolem0005(X16,X17,X18),X18)|(in(skolem0005(X16,X17,X18),X16)|in(skolem0005(X16,X17,X18),X17))))|X18=set_union2(X16,X17))))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X11]:(![X12]:(![X13]:(X13!=set_union2(X11,X12)|((![X14]:(~in(X14,X13)|(in(X14,X11)|in(X14,X12))))&(![X15]:((~in(X15,X11)&~in(X15,X12))|in(X15,X13))))))))&(![X16]:(![X17]:(![X18]:(((~in(skolem0005(X16,X17,X18),X18)|(~in(skolem0005(X16,X17,X18),X16)&~in(skolem0005(X16,X17,X18),X17)))&(in(skolem0005(X16,X17,X18),X18)|(in(skolem0005(X16,X17,X18),X16)|in(skolem0005(X16,X17,X18),X17))))|X18=set_union2(X16,X17)))))),inference(skolemize,[status(esa)],[c34])).])).
% 0.46/0.63 fof(c37,plain,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(((X13!=set_union2(X11,X12)|(~in(X14,X13)|(in(X14,X11)|in(X14,X12))))&((X13!=set_union2(X11,X12)|(~in(X15,X11)|in(X15,X13)))&(X13!=set_union2(X11,X12)|(~in(X15,X12)|in(X15,X13)))))&((((~in(skolem0005(X16,X17,X18),X18)|~in(skolem0005(X16,X17,X18),X16))|X18=set_union2(X16,X17))&((~in(skolem0005(X16,X17,X18),X18)|~in(skolem0005(X16,X17,X18),X17))|X18=set_union2(X16,X17)))&((in(skolem0005(X16,X17,X18),X18)|(in(skolem0005(X16,X17,X18),X16)|in(skolem0005(X16,X17,X18),X17)))|X18=set_union2(X16,X17)))))))))))),inference(distribute,[status(thm)],[c36])).
% 0.46/0.63 cnf(c39,plain,X97!=set_union2(X98,X99)|~in(X96,X98)|in(X96,X97),inference(split_conjunct,[status(thm)],[c37])).
% 0.46/0.63 cnf(symmetry,axiom,X37!=X38|X38=X37,theory(equality)).
% 0.46/0.63 fof(t49_zfmisc_1,conjecture,(![A]:(![B]:set_union2(singleton(A),B)!=empty_set)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t49_zfmisc_1)).
% 0.46/0.63 fof(c4,negated_conjecture,(~(![A]:(![B]:set_union2(singleton(A),B)!=empty_set))),inference(assume_negation,[status(cth)],[t49_zfmisc_1])).
% 0.46/0.63 fof(c5,negated_conjecture,(?[A]:(?[B]:set_union2(singleton(A),B)=empty_set)),inference(fof_nnf,[status(thm)],[c4])).
% 0.46/0.63 fof(c6,negated_conjecture,(?[X2]:(?[X3]:set_union2(singleton(X2),X3)=empty_set)),inference(variable_rename,[status(thm)],[c5])).
% 0.46/0.63 fof(c7,negated_conjecture,set_union2(singleton(skolem0001),skolem0002)=empty_set,inference(skolemize,[status(esa)],[c6])).
% 0.46/0.63 cnf(c8,negated_conjecture,set_union2(singleton(skolem0001),skolem0002)=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.46/0.63 cnf(c107,plain,empty_set=set_union2(singleton(skolem0001),skolem0002),inference(resolution,[status(thm)],[c8, symmetry])).
% 0.46/0.63 cnf(c175,plain,~in(X136,singleton(skolem0001))|in(X136,empty_set),inference(resolution,[status(thm)],[c107, c39])).
% 0.46/0.63 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.46/0.63 fof(c52,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])).
% 0.46/0.63 fof(c53,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)],[c52])).
% 0.46/0.63 fof(c54,plain,((![X24]:(![X25]:(X25!=singleton(X24)|((![X26]:(~in(X26,X25)|X26=X24))&(![X27]:(X27!=X24|in(X27,X25)))))))&(![X28]:(![X29]:((?[X30]:((~in(X30,X29)|X30!=X28)&(in(X30,X29)|X30=X28)))|X29=singleton(X28))))),inference(variable_rename,[status(thm)],[c53])).
% 0.46/0.63 fof(c56,plain,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:((X25!=singleton(X24)|((~in(X26,X25)|X26=X24)&(X27!=X24|in(X27,X25))))&(((~in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)!=X28)&(in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)=X28))|X29=singleton(X28))))))))),inference(shift_quantors,[status(thm)],[fof(c55,plain,((![X24]:(![X25]:(X25!=singleton(X24)|((![X26]:(~in(X26,X25)|X26=X24))&(![X27]:(X27!=X24|in(X27,X25)))))))&(![X28]:(![X29]:(((~in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)!=X28)&(in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)=X28))|X29=singleton(X28))))),inference(skolemize,[status(esa)],[c54])).])).
% 0.46/0.63 fof(c57,plain,(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(((X25!=singleton(X24)|(~in(X26,X25)|X26=X24))&(X25!=singleton(X24)|(X27!=X24|in(X27,X25))))&(((~in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)!=X28)|X29=singleton(X28))&((in(skolem0007(X28,X29),X29)|skolem0007(X28,X29)=X28)|X29=singleton(X28)))))))))),inference(distribute,[status(thm)],[c56])).
% 0.46/0.63 cnf(c59,plain,X159!=singleton(X157)|X158!=X157|in(X158,X159),inference(split_conjunct,[status(thm)],[c57])).
% 0.46/0.63 cnf(c260,plain,X160!=X161|in(X160,singleton(X161)),inference(resolution,[status(thm)],[c59, reflexivity])).
% 0.46/0.63 cnf(c272,plain,in(X162,singleton(X162)),inference(resolution,[status(thm)],[c260, reflexivity])).
% 0.46/0.63 cnf(c279,plain,in(skolem0001,empty_set),inference(resolution,[status(thm)],[c272, c175])).
% 0.46/0.63 cnf(c282,plain,empty_set!=empty_set,inference(resolution,[status(thm)],[c279, c50])).
% 0.46/0.63 cnf(c289,plain,$false,inference(resolution,[status(thm)],[c282, reflexivity])).
% 0.46/0.63 % SZS output end CNFRefutation
% 0.46/0.63
% 0.46/0.63 % Initial clauses : 28
% 0.46/0.63 % Processed clauses : 56
% 0.46/0.63 % Factors computed : 8
% 0.46/0.63 % Resolvents computed: 216
% 0.46/0.63 % Tautologies deleted: 7
% 0.46/0.63 % Forward subsumed : 28
% 0.46/0.63 % Backward subsumed : 0
% 0.46/0.63 % -------- CPU Time ---------
% 0.46/0.63 % User time : 0.256 s
% 0.46/0.63 % System time : 0.017 s
% 0.46/0.63 % Total time : 0.273 s
%------------------------------------------------------------------------------