TSTP Solution File: SET073+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET073+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 04:35:16 EDT 2022
% Result : Theorem 11.41s 11.61s
% Output : Refutation 11.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET073+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 09:40:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.41/11.61 # Version: 1.3
% 11.41/11.61 # SZS status Theorem
% 11.41/11.61 # SZS output start CNFRefutation
% 11.41/11.61 fof(corollary1_1,conjecture,(![X]:(![Y]:(member(X,universal_class)=>unordered_pair(X,Y)!=null_class))),input).
% 11.41/11.61 fof(c26,negated_conjecture,(~(![X]:(![Y]:(member(X,universal_class)=>unordered_pair(X,Y)!=null_class)))),inference(assume_negation,status(cth),[corollary1_1])).
% 11.41/11.61 fof(c27,negated_conjecture,(?[X]:(?[Y]:(member(X,universal_class)&unordered_pair(X,Y)=null_class))),inference(fof_nnf,status(thm),[c26])).
% 11.41/11.61 fof(c28,negated_conjecture,(?[X]:(member(X,universal_class)&(?[Y]:unordered_pair(X,Y)=null_class))),inference(shift_quantors,status(thm),[c27])).
% 11.41/11.61 fof(c29,negated_conjecture,(?[X2]:(member(X2,universal_class)&(?[X3]:unordered_pair(X2,X3)=null_class))),inference(variable_rename,status(thm),[c28])).
% 11.41/11.61 fof(c30,negated_conjecture,(member(skolem0001,universal_class)&unordered_pair(skolem0001,skolem0002)=null_class),inference(skolemize,status(esa),[c29])).
% 11.41/11.61 cnf(c31,negated_conjecture,member(skolem0001,universal_class),inference(split_conjunct,status(thm),[c30])).
% 11.41/11.61 fof(disjoint_defn,axiom,(![X]:(![Y]:(disjoint(X,Y)<=>(![U]:(~(member(U,X)&member(U,Y))))))),input).
% 11.41/11.61 fof(c48,axiom,(![X]:(![Y]:((~disjoint(X,Y)|(![U]:(~member(U,X)|~member(U,Y))))&((?[U]:(member(U,X)&member(U,Y)))|disjoint(X,Y))))),inference(fof_nnf,status(thm),[disjoint_defn])).
% 11.41/11.61 fof(c49,axiom,((![X]:(![Y]:(~disjoint(X,Y)|(![U]:(~member(U,X)|~member(U,Y))))))&(![X]:(![Y]:((?[U]:(member(U,X)&member(U,Y)))|disjoint(X,Y))))),inference(shift_quantors,status(thm),[c48])).
% 11.41/11.61 fof(c50,axiom,((![X10]:(![X11]:(~disjoint(X10,X11)|(![X12]:(~member(X12,X10)|~member(X12,X11))))))&(![X13]:(![X14]:((?[X15]:(member(X15,X13)&member(X15,X14)))|disjoint(X13,X14))))),inference(variable_rename,status(thm),[c49])).
% 11.41/11.61 fof(c52,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~disjoint(X10,X11)|(~member(X12,X10)|~member(X12,X11)))&((member(skolem0005(X13,X14),X13)&member(skolem0005(X13,X14),X14))|disjoint(X13,X14)))))))),inference(shift_quantors,status(thm),[fof(c51,axiom,((![X10]:(![X11]:(~disjoint(X10,X11)|(![X12]:(~member(X12,X10)|~member(X12,X11))))))&(![X13]:(![X14]:((member(skolem0005(X13,X14),X13)&member(skolem0005(X13,X14),X14))|disjoint(X13,X14))))),inference(skolemize,status(esa),[c50])).])).
% 11.41/11.61 fof(c53,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~disjoint(X10,X11)|(~member(X12,X10)|~member(X12,X11)))&((member(skolem0005(X13,X14),X13)|disjoint(X13,X14))&(member(skolem0005(X13,X14),X14)|disjoint(X13,X14))))))))),inference(distribute,status(thm),[c52])).
% 11.41/11.61 cnf(c54,axiom,~disjoint(X324,X326)|~member(X325,X324)|~member(X325,X326),inference(split_conjunct,status(thm),[c53])).
% 11.41/11.61 cnf(c716,plain,~disjoint(X327,universal_class)|~member(skolem0001,X327),inference(resolution,status(thm),[c54, c31])).
% 11.41/11.61 cnf(reflexivity,axiom,X140=X140,eq_axiom).
% 11.41/11.61 fof(unordered_pair_defn,axiom,(![U]:(![X]:(![Y]:(member(U,unordered_pair(X,Y))<=>(member(U,universal_class)&(U=X|U=Y)))))),input).
% 11.41/11.61 fof(c232,axiom,(![U]:(![X]:(![Y]:((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&((~member(U,universal_class)|(U!=X&U!=Y))|member(U,unordered_pair(X,Y))))))),inference(fof_nnf,status(thm),[unordered_pair_defn])).
% 11.41/11.61 fof(c233,axiom,((![U]:(![X]:(![Y]:(~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))))&(![U]:(![X]:(![Y]:((~member(U,universal_class)|(U!=X&U!=Y))|member(U,unordered_pair(X,Y))))))),inference(shift_quantors,status(thm),[c232])).
% 11.41/11.61 fof(c235,axiom,(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:((~member(X123,unordered_pair(X124,X125))|(member(X123,universal_class)&(X123=X124|X123=X125)))&((~member(X126,universal_class)|(X126!=X127&X126!=X128))|member(X126,unordered_pair(X127,X128)))))))))),inference(shift_quantors,status(thm),[fof(c234,axiom,((![X123]:(![X124]:(![X125]:(~member(X123,unordered_pair(X124,X125))|(member(X123,universal_class)&(X123=X124|X123=X125))))))&(![X126]:(![X127]:(![X128]:((~member(X126,universal_class)|(X126!=X127&X126!=X128))|member(X126,unordered_pair(X127,X128))))))),inference(variable_rename,status(thm),[c233])).])).
% 11.41/11.61 fof(c236,axiom,(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(((~member(X123,unordered_pair(X124,X125))|member(X123,universal_class))&(~member(X123,unordered_pair(X124,X125))|(X123=X124|X123=X125)))&(((~member(X126,universal_class)|X126!=X127)|member(X126,unordered_pair(X127,X128)))&((~member(X126,universal_class)|X126!=X128)|member(X126,unordered_pair(X127,X128))))))))))),inference(distribute,status(thm),[c235])).
% 11.41/11.61 cnf(c239,axiom,~member(X627,universal_class)|X627!=X625|member(X627,unordered_pair(X625,X626)),inference(split_conjunct,status(thm),[c236])).
% 11.41/11.61 cnf(c2900,plain,~member(X874,universal_class)|member(X874,unordered_pair(X874,X875)),inference(resolution,status(thm),[c239, reflexivity])).
% 11.41/11.61 cnf(c6142,plain,member(skolem0001,unordered_pair(skolem0001,X879)),inference(resolution,status(thm),[c2900, c31])).
% 11.41/11.61 cnf(c6250,plain,~disjoint(unordered_pair(skolem0001,X884),universal_class),inference(resolution,status(thm),[c6142, c716])).
% 11.41/11.61 cnf(symmetry,axiom,X143!=X144|X144=X143,eq_axiom).
% 11.41/11.61 cnf(c32,negated_conjecture,unordered_pair(skolem0001,skolem0002)=null_class,inference(split_conjunct,status(thm),[c30])).
% 11.41/11.61 cnf(c299,plain,null_class=unordered_pair(skolem0001,skolem0002),inference(resolution,status(thm),[c32, symmetry])).
% 11.41/11.61 fof(null_class_defn,axiom,(![X]:(~member(X,null_class))),input).
% 11.41/11.61 fof(c179,axiom,(![X]:~member(X,null_class)),inference(fof_simplification,status(thm),[null_class_defn])).
% 11.41/11.61 fof(c180,axiom,(![X87]:~member(X87,null_class)),inference(variable_rename,status(thm),[c179])).
% 11.41/11.61 cnf(c181,axiom,~member(X141,null_class),inference(split_conjunct,status(thm),[c180])).
% 11.41/11.61 cnf(c55,axiom,member(skolem0005(X215,X216),X215)|disjoint(X215,X216),inference(split_conjunct,status(thm),[c53])).
% 11.41/11.61 cnf(c392,plain,disjoint(null_class,X223),inference(resolution,status(thm),[c55, c181])).
% 11.41/11.61 cnf(c25,plain,X348!=X350|X351!=X349|~disjoint(X348,X351)|disjoint(X350,X349),eq_axiom).
% 11.41/11.61 cnf(c813,plain,null_class!=X2012|X2011!=X2013|disjoint(X2012,X2013),inference(resolution,status(thm),[c25, c392])).
% 11.41/11.61 cnf(c30954,plain,null_class!=X2015|disjoint(X2015,X2014),inference(resolution,status(thm),[c813, reflexivity])).
% 11.41/11.61 cnf(c31002,plain,disjoint(unordered_pair(skolem0001,skolem0002),X2023),inference(resolution,status(thm),[c30954, c299])).
% 11.41/11.61 cnf(c31167,plain,$false,inference(resolution,status(thm),[c31002, c6250])).
% 11.41/11.61 # SZS output end CNFRefutation
% 11.41/11.61
% 11.41/11.61 # Initial clauses : 120
% 11.41/11.61 # Processed clauses : 1043
% 11.41/11.61 # Factors computed : 2
% 11.41/11.61 # Resolvents computed: 31058
% 11.41/11.61 # Tautologies deleted: 6
% 11.41/11.61 # Forward subsumed : 925
% 11.41/11.61 # Backward subsumed : 25
% 11.41/11.61 # -------- CPU Time ---------
% 11.41/11.61 # User time : 11.193 s
% 11.41/11.61 # System time : 0.074 s
% 11.41/11.61 # Total time : 11.267 s
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