TSTP Solution File: NUN067+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUN067+1 : TPTP v8.1.2. Released v7.3.0.
% 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 17:37:08 EDT 2024
% Result : Theorem 0.43s 0.61s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN067+1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 22:32:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.43/0.61 % Version: 1.5
% 0.43/0.61 % SZS status Theorem
% 0.43/0.61 % SZS output start CNFRefutation
% 0.43/0.61 fof(nonzerosexistid,conjecture,(?[Y1]:(![Y2]:((~id(Y1,Y2))|(~r1(Y2))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonzerosexistid)).
% 0.43/0.61 fof(c0,negated_conjecture,(~(?[Y1]:(![Y2]:((~id(Y1,Y2))|(~r1(Y2)))))),inference(assume_negation,[status(cth)],[nonzerosexistid])).
% 0.43/0.61 fof(c1,negated_conjecture,(~(?[Y1]:(![Y2]:(~id(Y1,Y2)|~r1(Y2))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.43/0.61 fof(c2,negated_conjecture,(![Y1]:(?[Y2]:(id(Y1,Y2)&r1(Y2)))),inference(fof_nnf,[status(thm)],[c1])).
% 0.43/0.61 fof(c3,negated_conjecture,(![X2]:(?[X3]:(id(X2,X3)&r1(X3)))),inference(variable_rename,[status(thm)],[c2])).
% 0.43/0.61 fof(c4,negated_conjecture,(![X2]:(id(X2,skolem0001(X2))&r1(skolem0001(X2)))),inference(skolemize,[status(esa)],[c3])).
% 0.43/0.61 cnf(c6,negated_conjecture,r1(skolem0001(X72)),inference(split_conjunct,[status(thm)],[c4])).
% 0.43/0.61 cnf(c5,negated_conjecture,id(X76,skolem0001(X76)),inference(split_conjunct,[status(thm)],[c4])).
% 0.43/0.61 fof(axiom_6,axiom,(![X21]:(![X22]:((~id(X21,X22))|id(X22,X21)))),file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_6)).
% 0.43/0.61 fof(c78,plain,(![X21]:(![X22]:(~id(X21,X22)|id(X22,X21)))),inference(fof_simplification,[status(thm)],[axiom_6])).
% 0.43/0.61 fof(c79,plain,(![X55]:(![X56]:(~id(X55,X56)|id(X56,X55)))),inference(variable_rename,[status(thm)],[c78])).
% 0.43/0.61 cnf(c80,plain,~id(X91,X92)|id(X92,X91),inference(split_conjunct,[status(thm)],[c79])).
% 0.43/0.61 cnf(c119,plain,id(skolem0001(X96),X96),inference(resolution,[status(thm)],[c80, c5])).
% 0.43/0.61 fof(axiom_8,axiom,(![X26]:(![X27]:(((~id(X26,X27))|((~r1(X26))&(~r1(X27))))|(r1(X26)&r1(X27))))),file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_8)).
% 0.43/0.61 fof(c68,plain,(![X26]:(![X27]:((~id(X26,X27)|(~r1(X26)&~r1(X27)))|(r1(X26)&r1(X27))))),inference(fof_simplification,[status(thm)],[axiom_8])).
% 0.43/0.61 fof(c69,plain,(![X50]:(![X51]:((~id(X50,X51)|(~r1(X50)&~r1(X51)))|(r1(X50)&r1(X51))))),inference(variable_rename,[status(thm)],[c68])).
% 0.43/0.61 fof(c70,plain,(![X50]:(![X51]:((((~id(X50,X51)|~r1(X50))|r1(X50))&((~id(X50,X51)|~r1(X50))|r1(X51)))&(((~id(X50,X51)|~r1(X51))|r1(X50))&((~id(X50,X51)|~r1(X51))|r1(X51)))))),inference(distribute,[status(thm)],[c69])).
% 0.43/0.61 cnf(c72,plain,~id(X139,X138)|~r1(X139)|r1(X138),inference(split_conjunct,[status(thm)],[c70])).
% 0.43/0.61 cnf(c179,plain,~r1(skolem0001(X158))|r1(X158),inference(resolution,[status(thm)],[c72, c119])).
% 0.43/0.61 cnf(c204,plain,r1(X159),inference(resolution,[status(thm)],[c179, c6])).
% 0.43/0.61 fof(axiom_1,axiom,(?[Y24]:(![X19]:((id(X19,Y24)&r1(X19))|((~r1(X19))&(~id(X19,Y24)))))),file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1)).
% 0.43/0.61 fof(c107,plain,(?[Y24]:(![X19]:((id(X19,Y24)&r1(X19))|(~r1(X19)&~id(X19,Y24))))),inference(fof_simplification,[status(thm)],[axiom_1])).
% 0.43/0.61 fof(c108,plain,(?[X69]:(![X70]:((id(X70,X69)&r1(X70))|(~r1(X70)&~id(X70,X69))))),inference(variable_rename,[status(thm)],[c107])).
% 0.43/0.61 fof(c109,plain,(![X70]:((id(X70,skolem0021)&r1(X70))|(~r1(X70)&~id(X70,skolem0021)))),inference(skolemize,[status(esa)],[c108])).
% 0.43/0.61 fof(c110,plain,(![X70]:(((id(X70,skolem0021)|~r1(X70))&(id(X70,skolem0021)|~id(X70,skolem0021)))&((r1(X70)|~r1(X70))&(r1(X70)|~id(X70,skolem0021))))),inference(distribute,[status(thm)],[c109])).
% 0.43/0.61 cnf(c111,plain,id(X101,skolem0021)|~r1(X101),inference(split_conjunct,[status(thm)],[c110])).
% 0.43/0.61 cnf(c205,plain,id(X166,skolem0021),inference(resolution,[status(thm)],[c204, c111])).
% 0.43/0.61 fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~id(Y20,Y10))|(~r1(Y20))))|(~r2(X7,Y10))))),file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_7a)).
% 0.43/0.61 fof(c7,plain,(![X7]:(![Y10]:((![Y20]:(~id(Y20,Y10)|~r1(Y20)))|~r2(X7,Y10)))),inference(fof_simplification,[status(thm)],[axiom_7a])).
% 0.43/0.61 fof(c9,plain,(![X4]:(![X5]:(![X6]:((~id(X6,X5)|~r1(X6))|~r2(X4,X5))))),inference(shift_quantors,[status(thm)],[fof(c8,plain,(![X4]:(![X5]:((![X6]:(~id(X6,X5)|~r1(X6)))|~r2(X4,X5)))),inference(variable_rename,[status(thm)],[c7])).])).
% 0.43/0.61 cnf(c10,plain,~id(X85,X86)|~r1(X85)|~r2(X84,X86),inference(split_conjunct,[status(thm)],[c9])).
% 0.43/0.61 cnf(c206,plain,id(skolem0021,X167),inference(resolution,[status(thm)],[c205, c80])).
% 0.43/0.61 fof(axiom_2,axiom,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|((~r2(X11,X12))&(~id(X12,Y21))))))),file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_2)).
% 0.43/0.61 fof(c99,plain,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|(~r2(X11,X12)&~id(X12,Y21)))))),inference(fof_simplification,[status(thm)],[axiom_2])).
% 0.43/0.61 fof(c100,plain,(![X66]:(?[X67]:(![X68]:((id(X68,X67)&r2(X66,X68))|(~r2(X66,X68)&~id(X68,X67)))))),inference(variable_rename,[status(thm)],[c99])).
% 0.43/0.61 fof(c101,plain,(![X66]:(![X68]:((id(X68,skolem0020(X66))&r2(X66,X68))|(~r2(X66,X68)&~id(X68,skolem0020(X66)))))),inference(skolemize,[status(esa)],[c100])).
% 0.43/0.61 fof(c102,plain,(![X66]:(![X68]:(((id(X68,skolem0020(X66))|~r2(X66,X68))&(id(X68,skolem0020(X66))|~id(X68,skolem0020(X66))))&((r2(X66,X68)|~r2(X66,X68))&(r2(X66,X68)|~id(X68,skolem0020(X66))))))),inference(distribute,[status(thm)],[c101])).
% 0.43/0.61 cnf(c106,plain,r2(X245,X246)|~id(X246,skolem0020(X245)),inference(split_conjunct,[status(thm)],[c102])).
% 0.43/0.61 cnf(c235,plain,r2(X247,skolem0021),inference(resolution,[status(thm)],[c106, c206])).
% 0.43/0.61 cnf(c236,plain,~id(X262,skolem0021)|~r1(X262),inference(resolution,[status(thm)],[c235, c10])).
% 0.43/0.61 cnf(c250,plain,~r1(X267),inference(resolution,[status(thm)],[c236, c205])).
% 0.43/0.61 cnf(c253,plain,$false,inference(resolution,[status(thm)],[c250, c204])).
% 0.43/0.61 % SZS output end CNFRefutation
% 0.43/0.61
% 0.43/0.61 % Initial clauses : 60
% 0.43/0.61 % Processed clauses : 69
% 0.43/0.61 % Factors computed : 1
% 0.43/0.61 % Resolvents computed: 138
% 0.43/0.61 % Tautologies deleted: 12
% 0.43/0.61 % Forward subsumed : 46
% 0.43/0.61 % Backward subsumed : 28
% 0.43/0.61 % -------- CPU Time ---------
% 0.43/0.61 % User time : 0.257 s
% 0.43/0.61 % System time : 0.013 s
% 0.43/0.61 % Total time : 0.270 s
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