%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:58:33 PM UTC 2026
% Result : Theorem 4.97s 5.23s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n027.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 20:43:12 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.34/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 4.97/5.23 % Version: 1.5
% 4.97/5.23 % SZS status Theorem
% 4.97/5.23 % SZS output start CNFRefutation
% 4.97/5.23 fof(luka_cn1,conjecture,cn1,file('/export/starexec/sandbox2/benchmark/theBenchmark.p', luka_cn1)).
% 4.97/5.23 fof(c6,negated_conjecture,(~cn1),inference(assume_negation,[status(cth)],[luka_cn1])).
% 4.97/5.23 fof(c7,negated_conjecture,~cn1,inference(fof_simplification,[status(thm)],[c6])).
% 4.97/5.23 cnf(c8,negated_conjecture,~cn1,inference(split_conjunct,[status(thm)],[c7])).
% 4.97/5.23 fof(cn1,axiom,(cn1<=>(![P]:(![Q]:(![R]:is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))))))),file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn1)).
% 4.97/5.23 fof(c92,plain,((~cn1|(![P]:(![Q]:(![R]:is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))))&((?[P]:(?[Q]:(?[R]:~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))))))|cn1)),inference(fof_nnf,[status(thm)],[cn1])).
% 4.97/5.23 fof(c93,plain,((~cn1|(![X40]:(![X41]:(![X42]:is_a_theorem(implies(implies(X40,X41),implies(implies(X41,X42),implies(X40,X42))))))))&((?[X43]:(?[X44]:(?[X45]:~is_a_theorem(implies(implies(X43,X44),implies(implies(X44,X45),implies(X43,X45)))))))|cn1)),inference(variable_rename,[status(thm)],[c92])).
% 4.97/5.23 fof(c95,plain,(![X40]:(![X41]:(![X42]:((~cn1|is_a_theorem(implies(implies(X40,X41),implies(implies(X41,X42),implies(X40,X42)))))&(~is_a_theorem(implies(implies(skolem0015,skolem0016),implies(implies(skolem0016,skolem0017),implies(skolem0015,skolem0017))))|cn1))))),inference(shift_quantors,[status(thm)],[fof(c94,plain,((~cn1|(![X40]:(![X41]:(![X42]:is_a_theorem(implies(implies(X40,X41),implies(implies(X41,X42),implies(X40,X42))))))))&(~is_a_theorem(implies(implies(skolem0015,skolem0016),implies(implies(skolem0016,skolem0017),implies(skolem0015,skolem0017))))|cn1)),inference(skolemize,[status(esa)],[c93])).])).
% 4.97/5.23 cnf(c97,plain,~is_a_theorem(implies(implies(skolem0015,skolem0016),implies(implies(skolem0016,skolem0017),implies(skolem0015,skolem0017))))|cn1,inference(split_conjunct,[status(thm)],[c95])).
% 4.97/5.23 fof(hilbert_implies_3,axiom,implies_3,file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_implies_3)).
% 4.97/5.23 cnf(c22,plain,implies_3,inference(split_conjunct,[status(thm)],[hilbert_implies_3])).
% 4.97/5.23 fof(implies_3,axiom,(implies_3<=>(![X]:(![Y]:(![Z]:is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))))),file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', implies_3)).
% 4.97/5.23 fof(c170,plain,((~implies_3|(![X]:(![Y]:(![Z]:is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))))&((?[X]:(?[Y]:(?[Z]:~is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))))|implies_3)),inference(fof_nnf,[status(thm)],[implies_3])).
% 4.97/5.23 fof(c171,plain,((~implies_3|(![X96]:(![X97]:(![X98]:is_a_theorem(implies(implies(X96,X97),implies(implies(X97,X98),implies(X96,X98))))))))&((?[X99]:(?[X100]:(?[X101]:~is_a_theorem(implies(implies(X99,X100),implies(implies(X100,X101),implies(X99,X101)))))))|implies_3)),inference(variable_rename,[status(thm)],[c170])).
% 4.97/5.23 fof(c173,plain,(![X96]:(![X97]:(![X98]:((~implies_3|is_a_theorem(implies(implies(X96,X97),implies(implies(X97,X98),implies(X96,X98)))))&(~is_a_theorem(implies(implies(skolem0043,skolem0044),implies(implies(skolem0044,skolem0045),implies(skolem0043,skolem0045))))|implies_3))))),inference(shift_quantors,[status(thm)],[fof(c172,plain,((~implies_3|(![X96]:(![X97]:(![X98]:is_a_theorem(implies(implies(X96,X97),implies(implies(X97,X98),implies(X96,X98))))))))&(~is_a_theorem(implies(implies(skolem0043,skolem0044),implies(implies(skolem0044,skolem0045),implies(skolem0043,skolem0045))))|implies_3)),inference(skolemize,[status(esa)],[c171])).])).
% 4.97/5.23 cnf(c174,plain,~implies_3|is_a_theorem(implies(implies(X452,X454),implies(implies(X454,X453),implies(X452,X453)))),inference(split_conjunct,[status(thm)],[c173])).
% 4.97/5.23 cnf(c536,plain,is_a_theorem(implies(implies(X3243,X3244),implies(implies(X3244,X3245),implies(X3243,X3245)))),inference(resolution,[status(thm)],[c174, c22])).
% 4.97/5.23 cnf(c7967,plain,cn1,inference(resolution,[status(thm)],[c536, c97])).
% 4.97/5.23 cnf(c7981,plain,$false,inference(resolution,[status(thm)],[c7967, c8])).
% 4.97/5.23 % SZS output end CNFRefutation
% 4.97/5.23
% 4.97/5.23 % Initial clauses : 91
% 4.97/5.23 % Processed clauses : 769
% 4.97/5.23 % Factors computed : 5
% 4.97/5.23 % Resolvents computed: 7766
% 4.97/5.23 % Tautologies deleted: 4
% 4.97/5.23 % Forward subsumed : 386
% 4.97/5.23 % Backward subsumed : 217
% 4.97/5.23 % -------- CPU Time ---------
% 4.97/5.23 % User time : 4.823 s
% 4.97/5.23 % System time : 0.047 s
% 4.97/5.23 % Total time : 4.870 s
%------------------------------------------------------------------------------