TSTP Solution File: SET928+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:40:23 EDT 2024
% Result : Theorem 132.40s 132.59s
% Output : Refutation 132.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 19:09:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 132.40/132.59 % Version: 1.5
% 132.40/132.59 % SZS status Theorem
% 132.40/132.59 % SZS output start CNFRefutation
% 132.40/132.59 fof(t72_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)<=>((~in(A,C))&(~in(B,C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t72_zfmisc_1)).
% 132.40/132.59 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)<=>((~in(A,C))&(~in(B,C)))))))),inference(assume_negation,[status(cth)],[t72_zfmisc_1])).
% 132.40/132.59 fof(c12,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)<=>(~in(A,C)&~in(B,C))))))),inference(fof_simplification,[status(thm)],[c11])).
% 132.40/132.59 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:((set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B)|(in(A,C)|in(B,C)))&(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)|(~in(A,C)&~in(B,C))))))),inference(fof_nnf,[status(thm)],[c12])).
% 132.40/132.59 fof(c14,negated_conjecture,(?[X6]:(?[X7]:(?[X8]:((set_difference(unordered_pair(X6,X7),X8)!=unordered_pair(X6,X7)|(in(X6,X8)|in(X7,X8)))&(set_difference(unordered_pair(X6,X7),X8)=unordered_pair(X6,X7)|(~in(X6,X8)&~in(X7,X8))))))),inference(variable_rename,[status(thm)],[c13])).
% 132.40/132.59 fof(c15,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=unordered_pair(skolem0001,skolem0002)|(in(skolem0001,skolem0003)|in(skolem0002,skolem0003)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|(~in(skolem0001,skolem0003)&~in(skolem0002,skolem0003)))),inference(skolemize,[status(esa)],[c14])).
% 132.40/132.59 fof(c16,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=unordered_pair(skolem0001,skolem0002)|(in(skolem0001,skolem0003)|in(skolem0002,skolem0003)))&((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|~in(skolem0001,skolem0003))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|~in(skolem0002,skolem0003)))),inference(distribute,[status(thm)],[c15])).
% 132.40/132.59 cnf(c17,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=unordered_pair(skolem0001,skolem0002)|in(skolem0001,skolem0003)|in(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c16])).
% 132.40/132.59 fof(t83_xboole_1,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_difference(A,B)=A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t83_xboole_1)).
% 132.40/132.59 fof(c5,plain,(![A]:(![B]:((~disjoint(A,B)|set_difference(A,B)=A)&(set_difference(A,B)!=A|disjoint(A,B))))),inference(fof_nnf,[status(thm)],[t83_xboole_1])).
% 132.40/132.59 fof(c6,plain,((![A]:(![B]:(~disjoint(A,B)|set_difference(A,B)=A)))&(![A]:(![B]:(set_difference(A,B)!=A|disjoint(A,B))))),inference(shift_quantors,[status(thm)],[c5])).
% 132.40/132.59 fof(c8,plain,(![X2]:(![X3]:(![X4]:(![X5]:((~disjoint(X2,X3)|set_difference(X2,X3)=X2)&(set_difference(X4,X5)!=X4|disjoint(X4,X5))))))),inference(shift_quantors,[status(thm)],[fof(c7,plain,((![X2]:(![X3]:(~disjoint(X2,X3)|set_difference(X2,X3)=X2)))&(![X4]:(![X5]:(set_difference(X4,X5)!=X4|disjoint(X4,X5))))),inference(variable_rename,[status(thm)],[c6])).])).
% 132.40/132.59 cnf(c9,plain,~disjoint(X50,X49)|set_difference(X50,X49)=X50,inference(split_conjunct,[status(thm)],[c8])).
% 132.40/132.59 fof(t57_zfmisc_1,axiom,(![A]:(![B]:(![C]:(~(((~in(A,B))&(~in(C,B)))&(~disjoint(unordered_pair(A,C),B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t57_zfmisc_1)).
% 132.40/132.59 fof(c20,plain,(![A]:(![B]:(![C]:(~((~in(A,B)&~in(C,B))&~disjoint(unordered_pair(A,C),B)))))),inference(fof_simplification,[status(thm)],[t57_zfmisc_1])).
% 132.40/132.59 fof(c21,plain,(![A]:(![B]:(![C]:((in(A,B)|in(C,B))|disjoint(unordered_pair(A,C),B))))),inference(fof_nnf,[status(thm)],[c20])).
% 132.40/132.59 fof(c22,plain,(![X9]:(![X10]:(![X11]:((in(X9,X10)|in(X11,X10))|disjoint(unordered_pair(X9,X11),X10))))),inference(variable_rename,[status(thm)],[c21])).
% 132.40/132.59 cnf(c23,plain,in(X95,X94)|in(X93,X94)|disjoint(unordered_pair(X95,X93),X94),inference(split_conjunct,[status(thm)],[c22])).
% 132.40/132.59 cnf(c75,plain,in(X244,X246)|in(X245,X246)|set_difference(unordered_pair(X244,X245),X246)=unordered_pair(X244,X245),inference(resolution,[status(thm)],[c23, c9])).
% 132.40/132.59 cnf(c513,plain,in(skolem0001,skolem0003)|in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c75, c17])).
% 132.40/132.59 fof(t55_zfmisc_1,axiom,(![A]:(![B]:(![C]:(~(disjoint(unordered_pair(A,B),C)&in(A,C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t55_zfmisc_1)).
% 132.40/132.59 fof(c24,plain,(![A]:(![B]:(![C]:(~disjoint(unordered_pair(A,B),C)|~in(A,C))))),inference(fof_nnf,[status(thm)],[t55_zfmisc_1])).
% 132.40/132.59 fof(c25,plain,(![X12]:(![X13]:(![X14]:(~disjoint(unordered_pair(X12,X13),X14)|~in(X12,X14))))),inference(variable_rename,[status(thm)],[c24])).
% 132.40/132.59 cnf(c26,plain,~disjoint(unordered_pair(X59,X57),X58)|~in(X59,X58),inference(split_conjunct,[status(thm)],[c25])).
% 132.40/132.59 cnf(c10,plain,set_difference(X56,X55)!=X56|disjoint(X56,X55),inference(split_conjunct,[status(thm)],[c8])).
% 132.40/132.59 cnf(c18,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|~in(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c16])).
% 132.40/132.59 cnf(c527,plain,in(skolem0002,skolem0003)|set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002),inference(resolution,[status(thm)],[c513, c18])).
% 132.40/132.59 cnf(c51237,plain,in(skolem0002,skolem0003)|disjoint(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c527, c10])).
% 132.40/132.59 cnf(c51339,plain,in(skolem0002,skolem0003)|~in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c51237, c26])).
% 132.40/132.59 cnf(c51464,plain,in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c51339, c513])).
% 132.40/132.59 cnf(reflexivity,axiom,X23=X23,theory(equality)).
% 132.40/132.59 fof(commutativity_k2_tarski,axiom,(![A]:(![B]:unordered_pair(A,B)=unordered_pair(B,A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 132.40/132.59 fof(c37,plain,(![X19]:(![X20]:unordered_pair(X19,X20)=unordered_pair(X20,X19))),inference(variable_rename,[status(thm)],[commutativity_k2_tarski])).
% 132.40/132.59 cnf(c38,plain,unordered_pair(X45,X46)=unordered_pair(X46,X45),inference(split_conjunct,[status(thm)],[c37])).
% 132.40/132.59 cnf(c4,axiom,X82!=X81|X84!=X83|~disjoint(X82,X84)|disjoint(X81,X83),theory(equality)).
% 132.40/132.59 cnf(c19,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|~in(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c16])).
% 132.40/132.59 cnf(c94,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|in(X329,skolem0003)|disjoint(unordered_pair(skolem0001,X329),skolem0003),inference(resolution,[status(thm)],[c18, c23])).
% 132.40/132.59 cnf(c831,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=unordered_pair(skolem0001,skolem0002)|disjoint(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c94, c19])).
% 132.40/132.59 cnf(c112984,plain,disjoint(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c831, c10])).
% 132.40/132.59 cnf(c113051,plain,unordered_pair(skolem0001,skolem0002)!=X7293|skolem0003!=X7294|disjoint(X7293,X7294),inference(resolution,[status(thm)],[c112984, c4])).
% 132.40/132.59 cnf(c173474,plain,skolem0003!=X7295|disjoint(unordered_pair(skolem0002,skolem0001),X7295),inference(resolution,[status(thm)],[c113051, c38])).
% 132.40/132.59 cnf(c173522,plain,disjoint(unordered_pair(skolem0002,skolem0001),skolem0003),inference(resolution,[status(thm)],[c173474, reflexivity])).
% 132.40/132.59 cnf(c173546,plain,~in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c173522, c26])).
% 132.40/132.59 cnf(c173701,plain,$false,inference(resolution,[status(thm)],[c173546, c51464])).
% 132.40/132.59 % SZS output end CNFRefutation
% 132.40/132.59
% 132.40/132.59 % Initial clauses : 20
% 132.40/132.59 % Processed clauses : 1511
% 132.40/132.59 % Factors computed : 106
% 132.40/132.59 % Resolvents computed: 173640
% 132.40/132.59 % Tautologies deleted: 20
% 132.40/132.59 % Forward subsumed : 2811
% 132.40/132.59 % Backward subsumed : 142
% 132.40/132.59 % -------- CPU Time ---------
% 132.40/132.59 % User time : 131.799 s
% 132.40/132.59 % System time : 0.428 s
% 132.40/132.59 % Total time : 132.227 s
%------------------------------------------------------------------------------