TSTP Solution File: KLE001+1 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : KLE001+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 : 600s
% DateTime : Sun Jul 17 02:22:40 EDT 2022
% Result : Theorem 0.39s 0.54s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE001+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 14:53:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/0.54 # Version: 1.3
% 0.39/0.54 # SZS status Theorem
% 0.39/0.54 # SZS output start CNFRefutation
% 0.39/0.54 fof(goals,conjecture,(![X0]:(![X1]:(![X2]:(leq(X0,X1)=>leq(addition(X0,X2),addition(X0,X2)))))),input).
% 0.39/0.54 fof(c3,negated_conjecture,(~(![X0]:(![X1]:(![X2]:(leq(X0,X1)=>leq(addition(X0,X2),addition(X0,X2))))))),inference(assume_negation,status(cth),[goals])).
% 0.39/0.54 fof(c4,negated_conjecture,(?[X0]:(?[X1]:(?[X2]:(leq(X0,X1)&~leq(addition(X0,X2),addition(X0,X2)))))),inference(fof_nnf,status(thm),[c3])).
% 0.39/0.54 fof(c5,negated_conjecture,(?[X0]:((?[X1]:leq(X0,X1))&(?[X2]:~leq(addition(X0,X2),addition(X0,X2))))),inference(shift_quantors,status(thm),[c4])).
% 0.39/0.54 fof(c6,negated_conjecture,(?[X2]:((?[X3]:leq(X2,X3))&(?[X4]:~leq(addition(X2,X4),addition(X2,X4))))),inference(variable_rename,status(thm),[c5])).
% 0.39/0.54 fof(c7,negated_conjecture,(leq(skolem0001,skolem0002)&~leq(addition(skolem0001,skolem0003),addition(skolem0001,skolem0003))),inference(skolemize,status(esa),[c6])).
% 0.39/0.54 cnf(c9,negated_conjecture,~leq(addition(skolem0001,skolem0003),addition(skolem0001,skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.39/0.54 fof(additive_idempotence,axiom,(![A]:addition(A,A)=A),input).
% 0.39/0.54 fof(c30,axiom,(![X22]:addition(X22,X22)=X22),inference(variable_rename,status(thm),[additive_idempotence])).
% 0.39/0.54 cnf(c31,axiom,addition(X30,X30)=X30,inference(split_conjunct,status(thm),[c30])).
% 0.39/0.54 fof(order,axiom,(![A]:(![B]:(leq(A,B)<=>addition(A,B)=B))),input).
% 0.39/0.54 fof(c10,axiom,(![A]:(![B]:((~leq(A,B)|addition(A,B)=B)&(addition(A,B)!=B|leq(A,B))))),inference(fof_nnf,status(thm),[order])).
% 0.39/0.54 fof(c11,axiom,((![A]:(![B]:(~leq(A,B)|addition(A,B)=B)))&(![A]:(![B]:(addition(A,B)!=B|leq(A,B))))),inference(shift_quantors,status(thm),[c10])).
% 0.39/0.54 fof(c13,axiom,(![X5]:(![X6]:(![X7]:(![X8]:((~leq(X5,X6)|addition(X5,X6)=X6)&(addition(X7,X8)!=X8|leq(X7,X8))))))),inference(shift_quantors,status(thm),[fof(c12,axiom,((![X5]:(![X6]:(~leq(X5,X6)|addition(X5,X6)=X6)))&(![X7]:(![X8]:(addition(X7,X8)!=X8|leq(X7,X8))))),inference(variable_rename,status(thm),[c11])).])).
% 0.39/0.54 cnf(c15,axiom,addition(X74,X75)!=X75|leq(X74,X75),inference(split_conjunct,status(thm),[c13])).
% 0.39/0.54 cnf(c106,plain,leq(X79,X79),inference(resolution,status(thm),[c15, c31])).
% 0.39/0.54 cnf(c112,plain,$false,inference(resolution,status(thm),[c106, c9])).
% 0.39/0.54 # SZS output end CNFRefutation
% 0.39/0.54
% 0.39/0.54 # Initial clauses : 21
% 0.39/0.54 # Processed clauses : 27
% 0.39/0.54 # Factors computed : 0
% 0.39/0.54 # Resolvents computed: 76
% 0.39/0.54 # Tautologies deleted: 1
% 0.39/0.54 # Forward subsumed : 9
% 0.39/0.54 # Backward subsumed : 0
% 0.39/0.54 # -------- CPU Time ---------
% 0.39/0.54 # User time : 0.176 s
% 0.39/0.54 # System time : 0.020 s
% 0.39/0.54 # Total time : 0.196 s
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