%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU133+1 : TPTP v8.1.2. Released v3.3.0.
% 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 17:40:37 EDT 2024
% Result : Theorem 1.02s 1.19s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU133+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 11:20:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.02/1.19 % Version: 1.5
% 1.02/1.19 % SZS status Theorem
% 1.02/1.19 % SZS output start CNFRefutation
% 1.02/1.19 fof(t36_xboole_1,conjecture,(![A]:(![B]:subset(set_difference(A,B),A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t36_xboole_1)).
% 1.02/1.19 fof(c17,negated_conjecture,(~(![A]:(![B]:subset(set_difference(A,B),A)))),inference(assume_negation,[status(cth)],[t36_xboole_1])).
% 1.02/1.19 fof(c18,negated_conjecture,(?[A]:(?[B]:~subset(set_difference(A,B),A))),inference(fof_nnf,[status(thm)],[c17])).
% 1.02/1.19 fof(c19,negated_conjecture,(?[X9]:(?[X10]:~subset(set_difference(X9,X10),X9))),inference(variable_rename,[status(thm)],[c18])).
% 1.02/1.19 fof(c20,negated_conjecture,~subset(set_difference(skolem0001,skolem0002),skolem0001),inference(skolemize,[status(esa)],[c19])).
% 1.02/1.19 cnf(c21,negated_conjecture,~subset(set_difference(skolem0001,skolem0002),skolem0001),inference(split_conjunct,[status(thm)],[c20])).
% 1.02/1.19 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)).
% 1.02/1.19 fof(c48,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])).
% 1.02/1.19 fof(c49,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)],[c48])).
% 1.02/1.19 fof(c50,plain,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~in(X25,X23)|in(X25,X24))))))&(![X26]:(![X27]:((?[X28]:(in(X28,X26)&~in(X28,X27)))|subset(X26,X27))))),inference(variable_rename,[status(thm)],[c49])).
% 1.02/1.19 fof(c52,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~in(X25,X23)|in(X25,X24)))&((in(skolem0006(X26,X27),X26)&~in(skolem0006(X26,X27),X27))|subset(X26,X27)))))))),inference(shift_quantors,[status(thm)],[fof(c51,plain,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~in(X25,X23)|in(X25,X24))))))&(![X26]:(![X27]:((in(skolem0006(X26,X27),X26)&~in(skolem0006(X26,X27),X27))|subset(X26,X27))))),inference(skolemize,[status(esa)],[c50])).])).
% 1.02/1.19 fof(c53,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~in(X25,X23)|in(X25,X24)))&((in(skolem0006(X26,X27),X26)|subset(X26,X27))&(~in(skolem0006(X26,X27),X27)|subset(X26,X27))))))))),inference(distribute,[status(thm)],[c52])).
% 1.02/1.19 cnf(c56,plain,~in(skolem0006(X129,X130),X130)|subset(X129,X130),inference(split_conjunct,[status(thm)],[c53])).
% 1.02/1.19 cnf(c55,plain,in(skolem0006(X121,X122),X121)|subset(X121,X122),inference(split_conjunct,[status(thm)],[c53])).
% 1.02/1.19 cnf(reflexivity,axiom,X31=X31,theory(equality)).
% 1.02/1.19 fof(d4_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&(~in(D,B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 1.02/1.19 fof(c35,plain,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&~in(D,B)))))))),inference(fof_simplification,[status(thm)],[d4_xboole_0])).
% 1.02/1.19 fof(c36,plain,(![A]:(![B]:(![C]:((C!=set_difference(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_difference(A,B)))))),inference(fof_nnf,[status(thm)],[c35])).
% 1.02/1.19 fof(c37,plain,((![A]:(![B]:(![C]:(C!=set_difference(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_difference(A,B)))))),inference(shift_quantors,[status(thm)],[c36])).
% 1.02/1.19 fof(c38,plain,((![X14]:(![X15]:(![X16]:(X16!=set_difference(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&~in(X17,X15))))&(![X18]:((~in(X18,X14)|in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|(~in(X22,X19)|in(X22,X20)))&(in(X22,X21)|(in(X22,X19)&~in(X22,X20)))))|X21=set_difference(X19,X20)))))),inference(variable_rename,[status(thm)],[c37])).
% 1.02/1.19 fof(c40,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X16!=set_difference(X14,X15)|((~in(X17,X16)|(in(X17,X14)&~in(X17,X15)))&((~in(X18,X14)|in(X18,X15))|in(X18,X16))))&(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))&(in(skolem0005(X19,X20,X21),X21)|(in(skolem0005(X19,X20,X21),X19)&~in(skolem0005(X19,X20,X21),X20))))|X21=set_difference(X19,X20))))))))))),inference(shift_quantors,[status(thm)],[fof(c39,plain,((![X14]:(![X15]:(![X16]:(X16!=set_difference(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&~in(X17,X15))))&(![X18]:((~in(X18,X14)|in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))&(in(skolem0005(X19,X20,X21),X21)|(in(skolem0005(X19,X20,X21),X19)&~in(skolem0005(X19,X20,X21),X20))))|X21=set_difference(X19,X20)))))),inference(skolemize,[status(esa)],[c38])).])).
% 1.02/1.19 fof(c41,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((((X16!=set_difference(X14,X15)|(~in(X17,X16)|in(X17,X14)))&(X16!=set_difference(X14,X15)|(~in(X17,X16)|~in(X17,X15))))&(X16!=set_difference(X14,X15)|((~in(X18,X14)|in(X18,X15))|in(X18,X16))))&(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))|X21=set_difference(X19,X20))&(((in(skolem0005(X19,X20,X21),X21)|in(skolem0005(X19,X20,X21),X19))|X21=set_difference(X19,X20))&((in(skolem0005(X19,X20,X21),X21)|~in(skolem0005(X19,X20,X21),X20))|X21=set_difference(X19,X20))))))))))))),inference(distribute,[status(thm)],[c40])).
% 1.02/1.19 cnf(c42,plain,X76!=set_difference(X75,X77)|~in(X78,X76)|in(X78,X75),inference(split_conjunct,[status(thm)],[c41])).
% 1.02/1.19 cnf(c103,plain,~in(X152,set_difference(X151,X150))|in(X152,X151),inference(resolution,[status(thm)],[c42, reflexivity])).
% 1.02/1.19 cnf(c240,plain,in(skolem0006(set_difference(X796,X794),X795),X796)|subset(set_difference(X796,X794),X795),inference(resolution,[status(thm)],[c103, c55])).
% 1.02/1.19 cnf(c2867,plain,subset(set_difference(X797,X798),X797),inference(resolution,[status(thm)],[c240, c56])).
% 1.02/1.19 cnf(c2878,plain,$false,inference(resolution,[status(thm)],[c2867, c21])).
% 1.02/1.19 % SZS output end CNFRefutation
% 1.02/1.19
% 1.02/1.19 % Initial clauses : 29
% 1.02/1.19 % Processed clauses : 212
% 1.02/1.19 % Factors computed : 23
% 1.02/1.19 % Resolvents computed: 2797
% 1.02/1.19 % Tautologies deleted: 11
% 1.02/1.19 % Forward subsumed : 387
% 1.02/1.19 % Backward subsumed : 35
% 1.02/1.19 % -------- CPU Time ---------
% 1.02/1.19 % User time : 0.831 s
% 1.02/1.19 % System time : 0.012 s
% 1.02/1.19 % Total time : 0.843 s
%------------------------------------------------------------------------------