TSTP Solution File: NUM405+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : Mon Jul 18 13:36:17 EDT 2022
% Result : Theorem 4.52s 4.74s
% Output : Refutation 4.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 : Wed Jul 6 12:43:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.52/4.74 # Version: 1.3
% 4.52/4.74 # SZS status Theorem
% 4.52/4.74 # SZS output start CNFRefutation
% 4.52/4.74 fof(t37_ordinal1,axiom,(![A]:(~(![B]:(in(B,A)<=>ordinal(B))))),input).
% 4.52/4.74 fof(c25,axiom,(![A]:(?[B]:((~in(B,A)|~ordinal(B))&(in(B,A)|ordinal(B))))),inference(fof_nnf,status(thm),[t37_ordinal1])).
% 4.52/4.74 fof(c26,axiom,(![X9]:(?[X10]:((~in(X10,X9)|~ordinal(X10))&(in(X10,X9)|ordinal(X10))))),inference(variable_rename,status(thm),[c25])).
% 4.52/4.74 fof(c27,axiom,(![X9]:((~in(skolem0002(X9),X9)|~ordinal(skolem0002(X9)))&(in(skolem0002(X9),X9)|ordinal(skolem0002(X9))))),inference(skolemize,status(esa),[c26])).
% 4.52/4.74 cnf(c29,axiom,in(skolem0002(X90),X90)|ordinal(skolem0002(X90)),inference(split_conjunct,status(thm),[c27])).
% 4.52/4.74 fof(s1_xboole_0__e2_43__ordinal1,axiom,(![A]:(?[B]:(![C]:(in(C,B)<=>(in(C,A)&ordinal(C)))))),input).
% 4.52/4.74 fof(c36,axiom,(![A]:(?[B]:(![C]:((~in(C,B)|(in(C,A)&ordinal(C)))&((~in(C,A)|~ordinal(C))|in(C,B)))))),inference(fof_nnf,status(thm),[s1_xboole_0__e2_43__ordinal1])).
% 4.52/4.74 fof(c37,axiom,(![A]:(?[B]:((![C]:(~in(C,B)|(in(C,A)&ordinal(C))))&(![C]:((~in(C,A)|~ordinal(C))|in(C,B)))))),inference(shift_quantors,status(thm),[c36])).
% 4.52/4.74 fof(c38,axiom,(![X15]:(?[X16]:((![X17]:(~in(X17,X16)|(in(X17,X15)&ordinal(X17))))&(![X18]:((~in(X18,X15)|~ordinal(X18))|in(X18,X16)))))),inference(variable_rename,status(thm),[c37])).
% 4.52/4.74 fof(c40,axiom,(![X15]:(![X17]:(![X18]:((~in(X17,skolem0003(X15))|(in(X17,X15)&ordinal(X17)))&((~in(X18,X15)|~ordinal(X18))|in(X18,skolem0003(X15))))))),inference(shift_quantors,status(thm),[fof(c39,axiom,(![X15]:((![X17]:(~in(X17,skolem0003(X15))|(in(X17,X15)&ordinal(X17))))&(![X18]:((~in(X18,X15)|~ordinal(X18))|in(X18,skolem0003(X15)))))),inference(skolemize,status(esa),[c38])).])).
% 4.52/4.74 fof(c41,axiom,(![X15]:(![X17]:(![X18]:(((~in(X17,skolem0003(X15))|in(X17,X15))&(~in(X17,skolem0003(X15))|ordinal(X17)))&((~in(X18,X15)|~ordinal(X18))|in(X18,skolem0003(X15))))))),inference(distribute,status(thm),[c40])).
% 4.52/4.74 cnf(c43,axiom,~in(X107,skolem0003(X106))|ordinal(X107),inference(split_conjunct,status(thm),[c41])).
% 4.52/4.74 cnf(c281,plain,ordinal(skolem0002(skolem0003(X114))),inference(resolution,status(thm),[c43, c29])).
% 4.52/4.74 cnf(c28,axiom,~in(skolem0002(X88),X88)|~ordinal(skolem0002(X88)),inference(split_conjunct,status(thm),[c27])).
% 4.52/4.74 cnf(c44,axiom,~in(X108,X109)|~ordinal(X108)|in(X108,skolem0003(X109)),inference(split_conjunct,status(thm),[c41])).
% 4.52/4.74 fof(t38_ordinal1,conjecture,(![A]:(~(![B]:(ordinal(B)=>in(B,A))))),input).
% 4.52/4.74 fof(c20,negated_conjecture,(~(![A]:(~(![B]:(ordinal(B)=>in(B,A)))))),inference(assume_negation,status(cth),[t38_ordinal1])).
% 4.52/4.74 fof(c21,negated_conjecture,(?[A]:(![B]:(~ordinal(B)|in(B,A)))),inference(fof_nnf,status(thm),[c20])).
% 4.52/4.74 fof(c22,negated_conjecture,(?[X7]:(![X8]:(~ordinal(X8)|in(X8,X7)))),inference(variable_rename,status(thm),[c21])).
% 4.52/4.74 fof(c23,negated_conjecture,(![X8]:(~ordinal(X8)|in(X8,skolem0001))),inference(skolemize,status(esa),[c22])).
% 4.52/4.74 cnf(c24,negated_conjecture,~ordinal(X86)|in(X86,skolem0001),inference(split_conjunct,status(thm),[c23])).
% 4.52/4.74 cnf(c383,plain,in(skolem0002(skolem0003(X180)),skolem0001),inference(resolution,status(thm),[c281, c24])).
% 4.52/4.74 cnf(c772,plain,~ordinal(skolem0002(skolem0003(X336)))|in(skolem0002(skolem0003(X336)),skolem0003(skolem0001)),inference(resolution,status(thm),[c383, c44])).
% 4.52/4.74 cnf(c2410,plain,in(skolem0002(skolem0003(X687)),skolem0003(skolem0001)),inference(resolution,status(thm),[c772, c281])).
% 4.52/4.74 cnf(c7136,plain,~ordinal(skolem0002(skolem0003(skolem0001))),inference(resolution,status(thm),[c2410, c28])).
% 4.52/4.74 cnf(c7143,plain,$false,inference(resolution,status(thm),[c7136, c281])).
% 4.52/4.74 # SZS output end CNFRefutation
% 4.52/4.74
% 4.52/4.74 # Initial clauses : 88
% 4.52/4.74 # Processed clauses : 964
% 4.52/4.74 # Factors computed : 7
% 4.52/4.74 # Resolvents computed: 6983
% 4.52/4.74 # Tautologies deleted: 15
% 4.52/4.74 # Forward subsumed : 1855
% 4.52/4.74 # Backward subsumed : 41
% 4.52/4.74 # -------- CPU Time ---------
% 4.52/4.74 # User time : 4.369 s
% 4.52/4.74 # System time : 0.026 s
% 4.52/4.74 # Total time : 4.395 s
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