TSTP Solution File: SET074+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET074+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 04:35:17 EDT 2022
% Result : Theorem 14.69s 14.88s
% Output : Refutation 14.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET074+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jul 9 20:14:47 EDT 2022
% 0.16/0.37 % CPUTime :
% 14.69/14.88 # Version: 1.3
% 14.69/14.88 # SZS status Theorem
% 14.69/14.88 # SZS output start CNFRefutation
% 14.69/14.88 fof(corollary1_2,conjecture,(![X]:(![Y]:(member(Y,universal_class)=>unordered_pair(X,Y)!=null_class))),input).
% 14.69/14.88 fof(c26,negated_conjecture,(~(![X]:(![Y]:(member(Y,universal_class)=>unordered_pair(X,Y)!=null_class)))),inference(assume_negation,status(cth),[corollary1_2])).
% 14.69/14.88 fof(c27,negated_conjecture,(?[X]:(?[Y]:(member(Y,universal_class)&unordered_pair(X,Y)=null_class))),inference(fof_nnf,status(thm),[c26])).
% 14.69/14.88 fof(c28,negated_conjecture,(?[X2]:(?[X3]:(member(X3,universal_class)&unordered_pair(X2,X3)=null_class))),inference(variable_rename,status(thm),[c27])).
% 14.69/14.88 fof(c29,negated_conjecture,(member(skolem0002,universal_class)&unordered_pair(skolem0001,skolem0002)=null_class),inference(skolemize,status(esa),[c28])).
% 14.69/14.88 cnf(c30,negated_conjecture,member(skolem0002,universal_class),inference(split_conjunct,status(thm),[c29])).
% 14.69/14.88 fof(disjoint_defn,axiom,(![X]:(![Y]:(disjoint(X,Y)<=>(![U]:(~(member(U,X)&member(U,Y))))))),input).
% 14.69/14.88 fof(c47,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])).
% 14.69/14.88 fof(c48,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),[c47])).
% 14.69/14.88 fof(c49,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),[c48])).
% 14.69/14.88 fof(c51,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(c50,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),[c49])).])).
% 14.69/14.88 fof(c52,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),[c51])).
% 14.69/14.88 cnf(c53,axiom,~disjoint(X324,X326)|~member(X325,X324)|~member(X325,X326),inference(split_conjunct,status(thm),[c52])).
% 14.69/14.88 cnf(c723,plain,~disjoint(X341,universal_class)|~member(skolem0002,X341),inference(resolution,status(thm),[c53, c30])).
% 14.69/14.88 cnf(reflexivity,axiom,X140=X140,eq_axiom).
% 14.69/14.88 fof(unordered_pair_defn,axiom,(![U]:(![X]:(![Y]:(member(U,unordered_pair(X,Y))<=>(member(U,universal_class)&(U=X|U=Y)))))),input).
% 14.69/14.88 fof(c231,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])).
% 14.69/14.88 fof(c232,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),[c231])).
% 14.69/14.88 fof(c234,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(c233,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),[c232])).])).
% 14.69/14.88 fof(c235,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),[c234])).
% 14.69/14.88 cnf(c239,axiom,~member(X630,universal_class)|X630!=X628|member(X630,unordered_pair(X629,X628)),inference(split_conjunct,status(thm),[c235])).
% 14.69/14.88 cnf(c2948,plain,~member(X895,universal_class)|member(X895,unordered_pair(X894,X895)),inference(resolution,status(thm),[c239, reflexivity])).
% 14.69/14.88 cnf(c6484,plain,member(skolem0002,unordered_pair(X896,skolem0002)),inference(resolution,status(thm),[c2948, c30])).
% 14.69/14.88 cnf(c6558,plain,~disjoint(unordered_pair(X902,skolem0002),universal_class),inference(resolution,status(thm),[c6484, c723])).
% 14.69/14.88 cnf(symmetry,axiom,X143!=X144|X144=X143,eq_axiom).
% 14.69/14.88 cnf(c31,negated_conjecture,unordered_pair(skolem0001,skolem0002)=null_class,inference(split_conjunct,status(thm),[c29])).
% 14.69/14.88 cnf(c300,plain,null_class=unordered_pair(skolem0001,skolem0002),inference(resolution,status(thm),[c31, symmetry])).
% 14.69/14.88 fof(null_class_defn,axiom,(![X]:(~member(X,null_class))),input).
% 14.69/14.88 fof(c178,axiom,(![X]:~member(X,null_class)),inference(fof_simplification,status(thm),[null_class_defn])).
% 14.69/14.88 fof(c179,axiom,(![X87]:~member(X87,null_class)),inference(variable_rename,status(thm),[c178])).
% 14.69/14.88 cnf(c180,axiom,~member(X141,null_class),inference(split_conjunct,status(thm),[c179])).
% 14.69/14.88 cnf(c54,axiom,member(skolem0005(X216,X215),X216)|disjoint(X216,X215),inference(split_conjunct,status(thm),[c52])).
% 14.69/14.88 cnf(c390,plain,disjoint(null_class,X223),inference(resolution,status(thm),[c54, c180])).
% 14.69/14.88 cnf(c25,plain,X348!=X350|X349!=X351|~disjoint(X348,X349)|disjoint(X350,X351),eq_axiom).
% 14.69/14.88 cnf(c814,plain,null_class!=X2017|X2015!=X2016|disjoint(X2017,X2016),inference(resolution,status(thm),[c25, c390])).
% 14.69/14.88 cnf(c31129,plain,null_class!=X2018|disjoint(X2018,X2019),inference(resolution,status(thm),[c814, reflexivity])).
% 14.69/14.88 cnf(c31169,plain,disjoint(unordered_pair(skolem0001,skolem0002),X2027),inference(resolution,status(thm),[c31129, c300])).
% 14.69/14.88 cnf(c31317,plain,$false,inference(resolution,status(thm),[c31169, c6558])).
% 14.69/14.88 # SZS output end CNFRefutation
% 14.69/14.88
% 14.69/14.88 # Initial clauses : 120
% 14.69/14.88 # Processed clauses : 1045
% 14.69/14.88 # Factors computed : 2
% 14.69/14.88 # Resolvents computed: 31077
% 14.69/14.88 # Tautologies deleted: 6
% 14.69/14.88 # Forward subsumed : 927
% 14.69/14.88 # Backward subsumed : 27
% 14.69/14.88 # -------- CPU Time ---------
% 14.69/14.88 # User time : 14.440 s
% 14.69/14.88 # System time : 0.068 s
% 14.69/14.88 # Total time : 14.508 s
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