%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n031.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 12:58:26 PM UTC 2026
% Result : Theorem 0.32s 0.61s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n031.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 13:02:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.43 (re.compile("\["), Token.OpenSquare),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.43 (re.compile("~\|"), Token.Nor),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.43 (re.compile("\|"), Token.Or),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.43 (re.compile("\?"), Token.Existential),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.32/0.61 % Version: 1.5
% 0.32/0.61 % SZS status Theorem
% 0.32/0.61 % SZS output start CNFRefutation
% 0.32/0.61 fof(thm147,conjecture,(~(((((![P]:(![Q]:(((~a_truth(implies(P,Q)))|(~a_truth(P)))|a_truth(Q))))&(![P]:(![Q]:a_truth(implies(P,implies(Q,P))))))&(![P]:(![Q]:(![R]:a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))))))&(![P]:(![Q]:a_truth(implies(implies(not(P),not(Q)),implies(Q,P))))))&(?[A]:(~a_truth(implies(A,A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', thm147)).
% 0.32/0.61 fof(c0,negated_conjecture,(~(~(((((![P]:(![Q]:(((~a_truth(implies(P,Q)))|(~a_truth(P)))|a_truth(Q))))&(![P]:(![Q]:a_truth(implies(P,implies(Q,P))))))&(![P]:(![Q]:(![R]:a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))))))&(![P]:(![Q]:a_truth(implies(implies(not(P),not(Q)),implies(Q,P))))))&(?[A]:(~a_truth(implies(A,A))))))),inference(assume_negation,[status(cth)],[thm147])).
% 0.32/0.61 fof(c1,negated_conjecture,(~(~(((((![P]:(![Q]:((~a_truth(implies(P,Q))|~a_truth(P))|a_truth(Q))))&(![P]:(![Q]:a_truth(implies(P,implies(Q,P))))))&(![P]:(![Q]:(![R]:a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))))))&(![P]:(![Q]:a_truth(implies(implies(not(P),not(Q)),implies(Q,P))))))&(?[A]:~a_truth(implies(A,A)))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.32/0.61 fof(c2,negated_conjecture,(((((![P]:(![Q]:((~a_truth(implies(P,Q))|~a_truth(P))|a_truth(Q))))&(![P]:(![Q]:a_truth(implies(P,implies(Q,P))))))&(![P]:(![Q]:(![R]:a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))))))&(![P]:(![Q]:a_truth(implies(implies(not(P),not(Q)),implies(Q,P))))))&(?[A]:~a_truth(implies(A,A)))),inference(fof_nnf,[status(thm)],[c1])).
% 0.32/0.61 fof(c3,negated_conjecture,(((((![X2]:(![X3]:((~a_truth(implies(X2,X3))|~a_truth(X2))|a_truth(X3))))&(![X4]:(![X5]:a_truth(implies(X4,implies(X5,X4))))))&(![X6]:(![X7]:(![X8]:a_truth(implies(implies(X6,implies(X7,X8)),implies(implies(X6,X7),implies(X6,X8))))))))&(![X9]:(![X10]:a_truth(implies(implies(not(X9),not(X10)),implies(X10,X9))))))&(?[X11]:~a_truth(implies(X11,X11)))),inference(variable_rename,[status(thm)],[c2])).
% 0.32/0.61 fof(c5,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((((((~a_truth(implies(X2,X3))|~a_truth(X2))|a_truth(X3))&a_truth(implies(X4,implies(X5,X4))))&a_truth(implies(implies(X6,implies(X7,X8)),implies(implies(X6,X7),implies(X6,X8)))))&a_truth(implies(implies(not(X9),not(X10)),implies(X10,X9))))&~a_truth(implies(skolem0001,skolem0001)))))))))))),inference(shift_quantors,[status(thm)],[fof(c4,negated_conjecture,(((((![X2]:(![X3]:((~a_truth(implies(X2,X3))|~a_truth(X2))|a_truth(X3))))&(![X4]:(![X5]:a_truth(implies(X4,implies(X5,X4))))))&(![X6]:(![X7]:(![X8]:a_truth(implies(implies(X6,implies(X7,X8)),implies(implies(X6,X7),implies(X6,X8))))))))&(![X9]:(![X10]:a_truth(implies(implies(not(X9),not(X10)),implies(X10,X9))))))&~a_truth(implies(skolem0001,skolem0001))),inference(skolemize,[status(esa)],[c3])).])).
% 0.32/0.61 cnf(c10,negated_conjecture,~a_truth(implies(skolem0001,skolem0001)),inference(split_conjunct,[status(thm)],[c5])).
% 0.32/0.61 cnf(c7,negated_conjecture,a_truth(implies(X12,implies(X13,X12))),inference(split_conjunct,[status(thm)],[c5])).
% 0.32/0.61 cnf(c6,negated_conjecture,~a_truth(implies(X15,X14))|~a_truth(X15)|a_truth(X14),inference(split_conjunct,[status(thm)],[c5])).
% 0.32/0.61 cnf(c11,plain,~a_truth(X17)|a_truth(implies(X16,X17)),inference(resolution,[status(thm)],[c6, c7])).
% 0.32/0.61 cnf(c12,plain,a_truth(implies(X18,implies(X19,implies(X20,X19)))),inference(resolution,[status(thm)],[c11, c7])).
% 0.32/0.61 cnf(c13,plain,a_truth(implies(X27,implies(X28,implies(X30,implies(X29,X30))))),inference(resolution,[status(thm)],[c12, c11])).
% 0.32/0.61 cnf(c17,plain,a_truth(implies(X45,implies(X43,implies(X46,implies(X47,implies(X44,X47)))))),inference(resolution,[status(thm)],[c13, c11])).
% 0.32/0.61 cnf(c8,negated_conjecture,a_truth(implies(implies(X23,implies(X21,X22)),implies(implies(X23,X21),implies(X23,X22)))),inference(split_conjunct,[status(thm)],[c5])).
% 0.32/0.61 cnf(c16,plain,~a_truth(implies(X61,implies(X60,X59)))|a_truth(implies(implies(X61,X60),implies(X61,X59))),inference(resolution,[status(thm)],[c8, c6])).
% 0.32/0.61 cnf(c34,plain,a_truth(implies(implies(X68,X67),implies(X68,X68))),inference(resolution,[status(thm)],[c16, c7])).
% 0.32/0.61 cnf(c40,plain,~a_truth(implies(X69,X70))|a_truth(implies(X69,X69)),inference(resolution,[status(thm)],[c34, c6])).
% 0.32/0.61 cnf(c41,plain,a_truth(implies(X71,X71)),inference(resolution,[status(thm)],[c40, c17])).
% 0.32/0.61 cnf(c54,plain,$false,inference(resolution,[status(thm)],[c41, c10])).
% 0.32/0.61 % SZS output end CNFRefutation
% 0.32/0.61
% 0.32/0.61 % Initial clauses : 5
% 0.32/0.61 % Processed clauses : 17
% 0.32/0.61 % Factors computed : 0
% 0.32/0.61 % Resolvents computed: 45
% 0.32/0.61 % Tautologies deleted: 0
% 0.32/0.61 % Forward subsumed : 4
% 0.32/0.61 % Backward subsumed : 1
% 0.32/0.61 % -------- CPU Time ---------
% 0.32/0.61 % User time : 0.214 s
% 0.32/0.61 % System time : 0.025 s
% 0.32/0.61 % Total time : 0.240 s
%------------------------------------------------------------------------------