TSTP Solution File: SEU150+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU150+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 : Tue Jul 19 13:35:57 EDT 2022
% Result : Theorem 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU150+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 11:45:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/0.56 # Version: 1.3
% 0.40/0.56 # SZS status Theorem
% 0.40/0.56 # SZS output start CNFRefutation
% 0.40/0.56 fof(t9_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>B=C)))),input).
% 0.40/0.56 fof(c2,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>B=C))))),inference(assume_negation,status(cth),[t9_zfmisc_1])).
% 0.40/0.56 fof(c3,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&B!=C)))),inference(fof_nnf,status(thm),[c2])).
% 0.40/0.56 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(singleton(X2)=unordered_pair(X3,X4)&X3!=X4)))),inference(variable_rename,status(thm),[c3])).
% 0.40/0.56 fof(c5,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0002!=skolem0003),inference(skolemize,status(esa),[c4])).
% 0.40/0.56 cnf(c7,negated_conjecture,skolem0002!=skolem0003,inference(split_conjunct,status(thm),[c5])).
% 0.40/0.56 cnf(symmetry,axiom,X11!=X12|X12=X11,eq_axiom).
% 0.40/0.56 cnf(transitivity,axiom,X14!=X15|X15!=X13|X14=X13,eq_axiom).
% 0.40/0.56 cnf(c6,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.40/0.56 fof(t8_zfmisc_1,axiom,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),input).
% 0.40/0.56 fof(c8,axiom,(![A]:(![B]:(![C]:(singleton(A)!=unordered_pair(B,C)|A=B)))),inference(fof_nnf,status(thm),[t8_zfmisc_1])).
% 0.40/0.56 fof(c9,axiom,(![A]:(![B]:((![C]:singleton(A)!=unordered_pair(B,C))|A=B))),inference(shift_quantors,status(thm),[c8])).
% 0.40/0.56 fof(c11,axiom,(![X5]:(![X6]:(![X7]:(singleton(X5)!=unordered_pair(X6,X7)|X5=X6)))),inference(shift_quantors,status(thm),[fof(c10,axiom,(![X5]:(![X6]:((![X7]:singleton(X5)!=unordered_pair(X6,X7))|X5=X6))),inference(variable_rename,status(thm),[c9])).])).
% 0.40/0.56 cnf(c12,axiom,singleton(X30)!=unordered_pair(X32,X31)|X30=X32,inference(split_conjunct,status(thm),[c11])).
% 0.40/0.56 cnf(c33,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c12, c6])).
% 0.40/0.56 cnf(c37,plain,X42!=skolem0001|X42=skolem0002,inference(resolution,status(thm),[c33, transitivity])).
% 0.40/0.56 fof(commutativity_k2_tarski,axiom,(![A]:(![B]:unordered_pair(A,B)=unordered_pair(B,A))),input).
% 0.40/0.56 fof(c15,axiom,(![X8]:(![X9]:unordered_pair(X8,X9)=unordered_pair(X9,X8))),inference(variable_rename,status(thm),[commutativity_k2_tarski])).
% 0.40/0.56 cnf(c16,axiom,unordered_pair(X19,X20)=unordered_pair(X20,X19),inference(split_conjunct,status(thm),[c15])).
% 0.40/0.56 cnf(c20,plain,X33!=unordered_pair(X35,X34)|X33=unordered_pair(X34,X35),inference(resolution,status(thm),[c16, transitivity])).
% 0.40/0.56 cnf(c34,plain,singleton(skolem0001)=unordered_pair(skolem0003,skolem0002),inference(resolution,status(thm),[c20, c6])).
% 0.40/0.56 cnf(c83,plain,skolem0001=skolem0003,inference(resolution,status(thm),[c34, c12])).
% 0.40/0.56 cnf(c91,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c83, symmetry])).
% 0.40/0.56 cnf(c97,plain,skolem0003=skolem0002,inference(resolution,status(thm),[c91, c37])).
% 0.40/0.56 cnf(c105,plain,skolem0002=skolem0003,inference(resolution,status(thm),[c97, symmetry])).
% 0.40/0.56 cnf(c114,plain,$false,inference(resolution,status(thm),[c105, c7])).
% 0.40/0.56 # SZS output end CNFRefutation
% 0.40/0.56
% 0.40/0.56 # Initial clauses : 11
% 0.40/0.56 # Processed clauses : 27
% 0.40/0.56 # Factors computed : 0
% 0.40/0.56 # Resolvents computed: 100
% 0.40/0.56 # Tautologies deleted: 1
% 0.40/0.56 # Forward subsumed : 17
% 0.40/0.56 # Backward subsumed : 0
% 0.40/0.56 # -------- CPU Time ---------
% 0.40/0.56 # User time : 0.202 s
% 0.40/0.56 # System time : 0.010 s
% 0.40/0.56 # Total time : 0.212 s
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