%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : Tue May 5 07:05:54 PM UTC 2026
% Result : Theorem 0.41s 0.56s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 11:15:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.41/0.56 % Version: 1.5
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 % SZS output start CNFRefutation
% 0.41/0.56 fof(axiom_007,axiom,(![Z]:(~leqNat(s(Z),z))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_007)).
% 0.41/0.56 fof(c47,plain,(![Z]:~leqNat(s(Z),z)),inference(fof_simplification,[status(thm)],[axiom_007])).
% 0.41/0.56 fof(c48,plain,(![X26]:~leqNat(s(X26),z)),inference(variable_rename,[status(thm)],[c47])).
% 0.41/0.56 cnf(c49,plain,~leqNat(s(X39),z),inference(split_conjunct,[status(thm)],[c48])).
% 0.41/0.56 fof(axiom_015,axiom,(![Y]:(![Y2]:(![Xs]:(ord(cons(Y,cons(Y2,Xs)))<=>(leqNat(Y,Y2)&ord(cons(Y2,Xs))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_015)).
% 0.41/0.56 fof(c15,plain,(![Y]:(![Y2]:(![Xs]:((~ord(cons(Y,cons(Y2,Xs)))|(leqNat(Y,Y2)&ord(cons(Y2,Xs))))&((~leqNat(Y,Y2)|~ord(cons(Y2,Xs)))|ord(cons(Y,cons(Y2,Xs)))))))),inference(fof_nnf,[status(thm)],[axiom_015])).
% 0.41/0.56 fof(c16,plain,((![Y]:(![Y2]:(![Xs]:(~ord(cons(Y,cons(Y2,Xs)))|(leqNat(Y,Y2)&ord(cons(Y2,Xs)))))))&(![Y]:(![Y2]:(![Xs]:((~leqNat(Y,Y2)|~ord(cons(Y2,Xs)))|ord(cons(Y,cons(Y2,Xs)))))))),inference(shift_quantors,[status(thm)],[c15])).
% 0.41/0.56 fof(c18,plain,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~ord(cons(X4,cons(X5,X6)))|(leqNat(X4,X5)&ord(cons(X5,X6))))&((~leqNat(X7,X8)|~ord(cons(X8,X9)))|ord(cons(X7,cons(X8,X9))))))))))),inference(shift_quantors,[status(thm)],[fof(c17,plain,((![X4]:(![X5]:(![X6]:(~ord(cons(X4,cons(X5,X6)))|(leqNat(X4,X5)&ord(cons(X5,X6)))))))&(![X7]:(![X8]:(![X9]:((~leqNat(X7,X8)|~ord(cons(X8,X9)))|ord(cons(X7,cons(X8,X9)))))))),inference(variable_rename,[status(thm)],[c16])).])).
% 0.41/0.56 fof(c19,plain,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(((~ord(cons(X4,cons(X5,X6)))|leqNat(X4,X5))&(~ord(cons(X4,cons(X5,X6)))|ord(cons(X5,X6))))&((~leqNat(X7,X8)|~ord(cons(X8,X9)))|ord(cons(X7,cons(X8,X9))))))))))),inference(distribute,[status(thm)],[c18])).
% 0.41/0.56 cnf(c20,plain,~ord(cons(X119,cons(X118,X120)))|leqNat(X119,X118),inference(split_conjunct,[status(thm)],[c19])).
% 0.41/0.56 fof(axiom_009,axiom,(![Y]:merge(nil,Y)=Y),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_009)).
% 0.41/0.56 fof(c39,plain,(![X21]:merge(nil,X21)=X21),inference(variable_rename,[status(thm)],[axiom_009])).
% 0.41/0.56 cnf(c40,plain,merge(nil,X44)=X44,inference(split_conjunct,[status(thm)],[c39])).
% 0.41/0.56 cnf(c7,axiom,X77!=X78|~ord(X77)|ord(X78),theory(equality)).
% 0.41/0.56 cnf(c103,plain,~ord(merge(nil,X84))|ord(X84),inference(resolution,[status(thm)],[c7, c40])).
% 0.41/0.56 fof(axiom_013,axiom,ord(nil),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_013)).
% 0.41/0.56 cnf(c25,plain,ord(nil),inference(split_conjunct,[status(thm)],[axiom_013])).
% 0.41/0.56 fof(goal_016,conjecture,(?[Xs]:(?[Ys]:(~(ord(Xs)=>((~ord(Ys))=>ord(merge(Xs,Ys))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_016)).
% 0.41/0.56 fof(c8,negated_conjecture,(~(?[Xs]:(?[Ys]:(~(ord(Xs)=>((~ord(Ys))=>ord(merge(Xs,Ys)))))))),inference(assume_negation,[status(cth)],[goal_016])).
% 0.41/0.56 fof(c9,negated_conjecture,(~(?[Xs]:(?[Ys]:(~(ord(Xs)=>(~ord(Ys)=>ord(merge(Xs,Ys)))))))),inference(fof_simplification,[status(thm)],[c8])).
% 0.41/0.56 fof(c10,negated_conjecture,(![Xs]:(![Ys]:(~ord(Xs)|(ord(Ys)|ord(merge(Xs,Ys)))))),inference(fof_nnf,[status(thm)],[c9])).
% 0.41/0.56 fof(c11,negated_conjecture,(![Xs]:(~ord(Xs)|(![Ys]:(ord(Ys)|ord(merge(Xs,Ys)))))),inference(shift_quantors,[status(thm)],[c10])).
% 0.41/0.56 fof(c13,negated_conjecture,(![X2]:(![X3]:(~ord(X2)|(ord(X3)|ord(merge(X2,X3)))))),inference(shift_quantors,[status(thm)],[fof(c12,negated_conjecture,(![X2]:(~ord(X2)|(![X3]:(ord(X3)|ord(merge(X2,X3)))))),inference(variable_rename,[status(thm)],[c11])).])).
% 0.41/0.56 cnf(c14,negated_conjecture,~ord(X115)|ord(X116)|ord(merge(X115,X116)),inference(split_conjunct,[status(thm)],[c13])).
% 0.41/0.56 cnf(c189,plain,ord(X117)|ord(merge(nil,X117)),inference(resolution,[status(thm)],[c14, c25])).
% 0.41/0.56 cnf(c205,plain,ord(X121),inference(resolution,[status(thm)],[c189, c103])).
% 0.41/0.56 cnf(c209,plain,leqNat(X123,X122),inference(resolution,[status(thm)],[c205, c20])).
% 0.41/0.56 cnf(c210,plain,$false,inference(resolution,[status(thm)],[c209, c49])).
% 0.41/0.56 % SZS output end CNFRefutation
% 0.41/0.56
% 0.41/0.56 % Initial clauses : 30
% 0.41/0.56 % Processed clauses : 44
% 0.41/0.56 % Factors computed : 3
% 0.41/0.56 % Resolvents computed: 146
% 0.41/0.56 % Tautologies deleted: 3
% 0.41/0.56 % Forward subsumed : 15
% 0.41/0.56 % Backward subsumed : 22
% 0.41/0.56 % -------- CPU Time ---------
% 0.41/0.56 % User time : 0.211 s
% 0.41/0.56 % System time : 0.014 s
% 0.41/0.56 % Total time : 0.225 s
%------------------------------------------------------------------------------