TSTP Solution File: SET877+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : 600s
% DateTime : Tue Jul 19 04:41:01 EDT 2022
% Result : Theorem 1.74s 1.97s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 19:44:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.97 # Version: 1.3
% 1.74/1.97 # SZS status Theorem
% 1.74/1.97 # SZS output start CNFRefutation
% 1.74/1.97 fof(t18_zfmisc_1,conjecture,(![A]:(![B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)=>A=B))),input).
% 1.74/1.97 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)=>A=B)))),inference(assume_negation,status(cth),[t18_zfmisc_1])).
% 1.74/1.97 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_intersection2(singleton(A),singleton(B))=singleton(A)&A!=B))),inference(fof_nnf,status(thm),[c4])).
% 1.74/1.97 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_intersection2(singleton(X2),singleton(X3))=singleton(X2)&X2!=X3))),inference(variable_rename,status(thm),[c5])).
% 1.74/1.97 fof(c7,negated_conjecture,(set_intersection2(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)&skolem0001!=skolem0002),inference(skolemize,status(esa),[c6])).
% 1.74/1.97 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 1.74/1.97 cnf(reflexivity,axiom,X20=X20,eq_axiom).
% 1.74/1.97 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 1.74/1.97 fof(c23,axiom,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,status(thm),[d1_tarski])).
% 1.74/1.97 fof(c24,axiom,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,status(thm),[c23])).
% 1.74/1.97 fof(c25,axiom,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|X15!=X13)&(in(X15,X14)|X15=X13)))|X14=singleton(X13))))),inference(variable_rename,status(thm),[c24])).
% 1.74/1.97 fof(c27,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X10!=singleton(X9)|((~in(X11,X10)|X11=X9)&(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))),inference(skolemize,status(esa),[c25])).])).
% 1.74/1.97 fof(c28,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X10!=singleton(X9)|(~in(X11,X10)|X11=X9))&(X10!=singleton(X9)|(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)|X14=singleton(X13))&((in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13)|X14=singleton(X13)))))))))),inference(distribute,status(thm),[c27])).
% 1.74/1.97 cnf(c29,axiom,X80!=singleton(X79)|~in(X81,X80)|X81=X79,inference(split_conjunct,status(thm),[c28])).
% 1.74/1.97 cnf(c111,plain,~in(X82,singleton(X83))|X82=X83,inference(resolution,status(thm),[c29, reflexivity])).
% 1.74/1.97 fof(l30_zfmisc_1,axiom,(![A]:(![B]:(set_intersection2(A,singleton(B))=singleton(B)=>in(B,A)))),input).
% 1.74/1.97 fof(c17,axiom,(![A]:(![B]:(set_intersection2(A,singleton(B))!=singleton(B)|in(B,A)))),inference(fof_nnf,status(thm),[l30_zfmisc_1])).
% 1.74/1.97 fof(c18,axiom,(![X6]:(![X7]:(set_intersection2(X6,singleton(X7))!=singleton(X7)|in(X7,X6)))),inference(variable_rename,status(thm),[c17])).
% 1.74/1.97 cnf(c19,axiom,set_intersection2(X73,singleton(X72))!=singleton(X72)|in(X72,X73),inference(split_conjunct,status(thm),[c18])).
% 1.74/1.97 fof(commutativity_k3_xboole_0,axiom,(![A]:(![B]:set_intersection2(A,B)=set_intersection2(B,A))),input).
% 1.74/1.97 fof(c33,axiom,(![X16]:(![X17]:set_intersection2(X16,X17)=set_intersection2(X17,X16))),inference(variable_rename,status(thm),[commutativity_k3_xboole_0])).
% 1.74/1.97 cnf(c34,axiom,set_intersection2(X43,X44)=set_intersection2(X44,X43),inference(split_conjunct,status(thm),[c33])).
% 1.74/1.97 cnf(transitivity,axiom,X33!=X32|X32!=X31|X33=X31,eq_axiom).
% 1.74/1.97 cnf(c8,negated_conjecture,set_intersection2(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001),inference(split_conjunct,status(thm),[c7])).
% 1.74/1.97 cnf(c87,plain,X280!=set_intersection2(singleton(skolem0001),singleton(skolem0002))|X280=singleton(skolem0001),inference(resolution,status(thm),[c8, transitivity])).
% 1.74/1.97 cnf(c768,plain,set_intersection2(singleton(skolem0002),singleton(skolem0001))=singleton(skolem0001),inference(resolution,status(thm),[c87, c34])).
% 1.74/1.97 cnf(c5312,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c768, c19])).
% 1.74/1.97 cnf(c5380,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c5312, c111])).
% 1.74/1.97 cnf(c5413,plain,$false,inference(resolution,status(thm),[c5380, c9])).
% 1.74/1.97 # SZS output end CNFRefutation
% 1.74/1.97
% 1.74/1.97 # Initial clauses : 19
% 1.74/1.97 # Processed clauses : 278
% 1.74/1.97 # Factors computed : 6
% 1.74/1.97 # Resolvents computed: 5371
% 1.74/1.97 # Tautologies deleted: 3
% 1.74/1.97 # Forward subsumed : 375
% 1.74/1.97 # Backward subsumed : 2
% 1.74/1.97 # -------- CPU Time ---------
% 1.74/1.97 # User time : 1.582 s
% 1.74/1.97 # System time : 0.025 s
% 1.74/1.97 # Total time : 1.607 s
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