%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:58:54 PM UTC 2026
% Result : Theorem 0.32s 0.63s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 02:20:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.42 (re.compile("\("), Token.OpenPar),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.42 (re.compile("\)"), Token.ClosePar),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.42 (re.compile("\["), Token.OpenSquare),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("~\|"), Token.Nor),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("\|"), Token.Or),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.42 (re.compile("\?"), Token.Existential),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.32/0.63 % Version: 1.5
% 0.32/0.63 % SZS status Theorem
% 0.32/0.63 % SZS output start CNFRefutation
% 0.32/0.63 fof(main,conjecture,(~(?[X]:(~((~(![Y]:((~r1(X,Y))|p2(Y))))|(~(((![Y]:((~r1(X,Y))|(((((((~(![X]:((~r1(Y,X))|(~(((~p2(X))&(~p102(X)))&p101(X))))))&(~(![X]:((~r1(Y,X))|(~((p2(X)&(~p102(X)))&p101(X)))))))|(~((~p101(Y))&p100(Y))))&((((![X]:(((~r1(Y,X))|(~p2(X)))|(~p101(X))))|p2(Y))&((![X]:(((~r1(Y,X))|p2(X))|(~p101(X))))|(~p2(Y))))|(~p101(Y))))&((((![X]:(((~r1(Y,X))|(~p1(X)))|(~p100(X))))|p1(Y))&((![X]:(((~r1(Y,X))|p1(X))|(~p100(X))))|(~p1(Y))))|(~p100(Y))))&(p101(Y)|(~p102(Y))))&(p100(Y)|(~p101(Y))))))&(~p101(X)))&p100(X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main)).
% 0.32/0.63 fof(c0,negated_conjecture,(~(~(?[X]:(~((~(![Y]:((~r1(X,Y))|p2(Y))))|(~(((![Y]:((~r1(X,Y))|(((((((~(![X]:((~r1(Y,X))|(~(((~p2(X))&(~p102(X)))&p101(X))))))&(~(![X]:((~r1(Y,X))|(~((p2(X)&(~p102(X)))&p101(X)))))))|(~((~p101(Y))&p100(Y))))&((((![X]:(((~r1(Y,X))|(~p2(X)))|(~p101(X))))|p2(Y))&((![X]:(((~r1(Y,X))|p2(X))|(~p101(X))))|(~p2(Y))))|(~p101(Y))))&((((![X]:(((~r1(Y,X))|(~p1(X)))|(~p100(X))))|p1(Y))&((![X]:(((~r1(Y,X))|p1(X))|(~p100(X))))|(~p1(Y))))|(~p100(Y))))&(p101(Y)|(~p102(Y))))&(p100(Y)|(~p101(Y))))))&(~p101(X)))&p100(X)))))))),inference(assume_negation,[status(cth)],[main])).
% 0.32/0.63 fof(c1,negated_conjecture,(~(~(?[X]:(~((~(![Y]:(~r1(X,Y)|p2(Y))))|(~(((![Y]:(~r1(X,Y)|(((((((~(![X]:(~r1(Y,X)|(~((~p2(X)&~p102(X))&p101(X))))))&(~(![X]:(~r1(Y,X)|(~((p2(X)&~p102(X))&p101(X)))))))|(~(~p101(Y)&p100(Y))))&((((![X]:((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]:((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]:((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]:((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(X))&p100(X)))))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.32/0.63 fof(c2,negated_conjecture,(?[X]:((![Y]:(~r1(X,Y)|p2(Y)))&(((![Y]:(~r1(X,Y)|(((((((?[X]:(r1(Y,X)&((~p2(X)&~p102(X))&p101(X))))&(?[X]:(r1(Y,X)&((p2(X)&~p102(X))&p101(X)))))|(p101(Y)|~p100(Y)))&((((![X]:((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]:((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]:((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]:((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(X))&p100(X)))),inference(fof_nnf,[status(thm)],[c1])).
% 0.32/0.63 fof(c3,negated_conjecture,(?[X2]:((![X3]:(~r1(X2,X3)|p2(X3)))&(((![X4]:(~r1(X2,X4)|(((((((?[X5]:(r1(X4,X5)&((~p2(X5)&~p102(X5))&p101(X5))))&(?[X6]:(r1(X4,X6)&((p2(X6)&~p102(X6))&p101(X6)))))|(p101(X4)|~p100(X4)))&((((![X7]:((~r1(X4,X7)|~p2(X7))|~p101(X7)))|p2(X4))&((![X8]:((~r1(X4,X8)|p2(X8))|~p101(X8)))|~p2(X4)))|~p101(X4)))&((((![X9]:((~r1(X4,X9)|~p1(X9))|~p100(X9)))|p1(X4))&((![X10]:((~r1(X4,X10)|p1(X10))|~p100(X10)))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4)))))&~p101(X2))&p100(X2)))),inference(variable_rename,[status(thm)],[c2])).
% 0.32/0.63 fof(c5,negated_conjecture,(![X3]:(![X4]:(![X7]:(![X8]:(![X9]:(![X10]:((~r1(skolem0001,X3)|p2(X3))&(((~r1(skolem0001,X4)|(((((((r1(X4,skolem0002(X4))&((~p2(skolem0002(X4))&~p102(skolem0002(X4)))&p101(skolem0002(X4))))&(r1(X4,skolem0003(X4))&((p2(skolem0003(X4))&~p102(skolem0003(X4)))&p101(skolem0003(X4)))))|(p101(X4)|~p100(X4)))&(((((~r1(X4,X7)|~p2(X7))|~p101(X7))|p2(X4))&(((~r1(X4,X8)|p2(X8))|~p101(X8))|~p2(X4)))|~p101(X4)))&(((((~r1(X4,X9)|~p1(X9))|~p100(X9))|p1(X4))&(((~r1(X4,X10)|p1(X10))|~p100(X10))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4))))&~p101(skolem0001))&p100(skolem0001))))))))),inference(shift_quantors,[status(thm)],[fof(c4,negated_conjecture,((![X3]:(~r1(skolem0001,X3)|p2(X3)))&(((![X4]:(~r1(skolem0001,X4)|(((((((r1(X4,skolem0002(X4))&((~p2(skolem0002(X4))&~p102(skolem0002(X4)))&p101(skolem0002(X4))))&(r1(X4,skolem0003(X4))&((p2(skolem0003(X4))&~p102(skolem0003(X4)))&p101(skolem0003(X4)))))|(p101(X4)|~p100(X4)))&((((![X7]:((~r1(X4,X7)|~p2(X7))|~p101(X7)))|p2(X4))&((![X8]:((~r1(X4,X8)|p2(X8))|~p101(X8)))|~p2(X4)))|~p101(X4)))&((((![X9]:((~r1(X4,X9)|~p1(X9))|~p100(X9)))|p1(X4))&((![X10]:((~r1(X4,X10)|p1(X10))|~p100(X10)))|~p1(X4)))|~p100(X4)))&(p101(X4)|~p102(X4)))&(p100(X4)|~p101(X4)))))&~p101(skolem0001))&p100(skolem0001))),inference(skolemize,[status(esa)],[c3])).])).
% 0.32/0.63 fof(c6,negated_conjecture,(![X3]:(![X4]:(![X7]:(![X8]:(![X9]:(![X10]:((~r1(skolem0001,X3)|p2(X3))&(((((((((~r1(skolem0001,X4)|(r1(X4,skolem0002(X4))|(p101(X4)|~p100(X4))))&(((~r1(skolem0001,X4)|(~p2(skolem0002(X4))|(p101(X4)|~p100(X4))))&(~r1(skolem0001,X4)|(~p102(skolem0002(X4))|(p101(X4)|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(skolem0002(X4))|(p101(X4)|~p100(X4))))))&((~r1(skolem0001,X4)|(r1(X4,skolem0003(X4))|(p101(X4)|~p100(X4))))&(((~r1(skolem0001,X4)|(p2(skolem0003(X4))|(p101(X4)|~p100(X4))))&(~r1(skolem0001,X4)|(~p102(skolem0003(X4))|(p101(X4)|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(skolem0003(X4))|(p101(X4)|~p100(X4)))))))&((~r1(skolem0001,X4)|((((~r1(X4,X7)|~p2(X7))|~p101(X7))|p2(X4))|~p101(X4)))&(~r1(skolem0001,X4)|((((~r1(X4,X8)|p2(X8))|~p101(X8))|~p2(X4))|~p101(X4)))))&((~r1(skolem0001,X4)|((((~r1(X4,X9)|~p1(X9))|~p100(X9))|p1(X4))|~p100(X4)))&(~r1(skolem0001,X4)|((((~r1(X4,X10)|p1(X10))|~p100(X10))|~p1(X4))|~p100(X4)))))&(~r1(skolem0001,X4)|(p101(X4)|~p102(X4))))&(~r1(skolem0001,X4)|(p100(X4)|~p101(X4))))&~p101(skolem0001))&p100(skolem0001))))))))),inference(distribute,[status(thm)],[c5])).
% 0.32/0.63 cnf(c22,negated_conjecture,~p101(skolem0001),inference(split_conjunct,[status(thm)],[c6])).
% 0.32/0.63 cnf(c23,negated_conjecture,p100(skolem0001),inference(split_conjunct,[status(thm)],[c6])).
% 0.32/0.63 fof(reflexivity,axiom,(![X]:r1(X,X)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity)).
% 0.32/0.63 fof(c24,plain,(![X11]:r1(X11,X11)),inference(variable_rename,[status(thm)],[reflexivity])).
% 0.32/0.63 cnf(c25,plain,r1(X12,X12),inference(split_conjunct,[status(thm)],[c24])).
% 0.32/0.63 cnf(c9,negated_conjecture,~r1(skolem0001,X17)|~p2(skolem0002(X17))|p101(X17)|~p100(X17),inference(split_conjunct,[status(thm)],[c6])).
% 0.32/0.63 cnf(c7,negated_conjecture,~r1(skolem0001,X13)|p2(X13),inference(split_conjunct,[status(thm)],[c6])).
% 0.32/0.63 cnf(c8,negated_conjecture,~r1(skolem0001,X14)|r1(X14,skolem0002(X14))|p101(X14)|~p100(X14),inference(split_conjunct,[status(thm)],[c6])).
% 0.32/0.63 cnf(c27,plain,r1(skolem0001,skolem0002(skolem0001))|p101(skolem0001)|~p100(skolem0001),inference(resolution,[status(thm)],[c8, c25])).
% 0.32/0.63 cnf(c40,plain,r1(skolem0001,skolem0002(skolem0001))|p101(skolem0001),inference(resolution,[status(thm)],[c27, c23])).
% 0.32/0.63 cnf(c49,plain,r1(skolem0001,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c40, c22])).
% 0.32/0.63 cnf(c60,plain,p2(skolem0002(skolem0001)),inference(resolution,[status(thm)],[c49, c7])).
% 0.32/0.63 cnf(c62,plain,~r1(skolem0001,skolem0001)|p101(skolem0001)|~p100(skolem0001),inference(resolution,[status(thm)],[c60, c9])).
% 0.32/0.63 cnf(c67,plain,p101(skolem0001)|~p100(skolem0001),inference(resolution,[status(thm)],[c62, c25])).
% 0.32/0.63 cnf(c68,plain,p101(skolem0001),inference(resolution,[status(thm)],[c67, c23])).
% 0.32/0.63 cnf(c69,plain,$false,inference(resolution,[status(thm)],[c68, c22])).
% 0.32/0.63 % SZS output end CNFRefutation
% 0.32/0.63
% 0.32/0.63 % Initial clauses : 18
% 0.32/0.63 % Processed clauses : 37
% 0.32/0.63 % Factors computed : 3
% 0.32/0.63 % Resolvents computed: 44
% 0.32/0.63 % Tautologies deleted: 1
% 0.32/0.63 % Forward subsumed : 4
% 0.32/0.63 % Backward subsumed : 12
% 0.32/0.63 % -------- CPU Time ---------
% 0.32/0.63 % User time : 0.247 s
% 0.32/0.63 % System time : 0.023 s
% 0.32/0.63 % Total time : 0.270 s
%------------------------------------------------------------------------------