TSTP Solution File: SET603+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 04:38:54 EDT 2022
% Result : Theorem 4.80s 4.97s
% Output : Refutation 4.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 14:34:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.80/4.97 # Version: 1.3
% 4.80/4.97 # SZS status Theorem
% 4.80/4.97 # SZS output start CNFRefutation
% 4.80/4.97 fof(prove_th74,conjecture,(![B]:difference(B,empty_set)=B),input).
% 4.80/4.97 fof(c4,negated_conjecture,(~(![B]:difference(B,empty_set)=B)),inference(assume_negation,status(cth),[prove_th74])).
% 4.80/4.97 fof(c5,negated_conjecture,(?[B]:difference(B,empty_set)!=B),inference(fof_nnf,status(thm),[c4])).
% 4.80/4.97 fof(c6,negated_conjecture,(?[X2]:difference(X2,empty_set)!=X2),inference(variable_rename,status(thm),[c5])).
% 4.80/4.97 fof(c7,negated_conjecture,difference(skolem0001,empty_set)!=skolem0001,inference(skolemize,status(esa),[c6])).
% 4.80/4.97 cnf(c8,negated_conjecture,difference(skolem0001,empty_set)!=skolem0001,inference(split_conjunct,status(thm),[c7])).
% 4.80/4.97 cnf(symmetry,axiom,X40!=X41|X41=X40,eq_axiom).
% 4.80/4.97 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 4.80/4.97 fof(c38,axiom,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,status(thm),[equal_defn])).
% 4.80/4.97 fof(c39,axiom,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,status(thm),[c38])).
% 4.80/4.97 fof(c41,axiom,(![X21]:(![X22]:(![X23]:(![X24]:((X21!=X22|(subset(X21,X22)&subset(X22,X21)))&((~subset(X23,X24)|~subset(X24,X23))|X23=X24)))))),inference(shift_quantors,status(thm),[fof(c40,axiom,((![X21]:(![X22]:(X21!=X22|(subset(X21,X22)&subset(X22,X21)))))&(![X23]:(![X24]:((~subset(X23,X24)|~subset(X24,X23))|X23=X24)))),inference(variable_rename,status(thm),[c39])).])).
% 4.80/4.97 fof(c42,axiom,(![X21]:(![X22]:(![X23]:(![X24]:(((X21!=X22|subset(X21,X22))&(X21!=X22|subset(X22,X21)))&((~subset(X23,X24)|~subset(X24,X23))|X23=X24)))))),inference(distribute,status(thm),[c41])).
% 4.80/4.97 cnf(c45,axiom,~subset(X103,X102)|~subset(X102,X103)|X103=X102,inference(split_conjunct,status(thm),[c42])).
% 4.80/4.97 fof(subset_defn,axiom,(![B]:(![C]:(subset(B,C)<=>(![D]:(member(D,B)=>member(D,C)))))),input).
% 4.80/4.97 fof(c19,axiom,(![B]:(![C]:((~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))&((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(fof_nnf,status(thm),[subset_defn])).
% 4.80/4.97 fof(c20,axiom,((![B]:(![C]:(~subset(B,C)|(![D]:(~member(D,B)|member(D,C))))))&(![B]:(![C]:((?[D]:(member(D,B)&~member(D,C)))|subset(B,C))))),inference(shift_quantors,status(thm),[c19])).
% 4.80/4.97 fof(c21,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(member(X13,X11)&~member(X13,X12)))|subset(X11,X12))))),inference(variable_rename,status(thm),[c20])).
% 4.80/4.97 fof(c23,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0003(X11,X12),X11)&~member(skolem0003(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~member(X10,X8)|member(X10,X9))))))&(![X11]:(![X12]:((member(skolem0003(X11,X12),X11)&~member(skolem0003(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,status(esa),[c21])).])).
% 4.80/4.97 fof(c24,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~member(X10,X8)|member(X10,X9)))&((member(skolem0003(X11,X12),X11)|subset(X11,X12))&(~member(skolem0003(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,status(thm),[c23])).
% 4.80/4.97 cnf(c27,axiom,~member(skolem0003(X83,X82),X82)|subset(X83,X82),inference(split_conjunct,status(thm),[c24])).
% 4.80/4.97 cnf(c26,axiom,member(skolem0003(X68,X67),X68)|subset(X68,X67),inference(split_conjunct,status(thm),[c24])).
% 4.80/4.97 fof(difference_defn,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&(~member(D,C))))))),input).
% 4.80/4.97 fof(c49,axiom,(![B]:(![C]:(![D]:(member(D,difference(B,C))<=>(member(D,B)&~member(D,C)))))),inference(fof_simplification,status(thm),[difference_defn])).
% 4.80/4.97 fof(c50,axiom,(![B]:(![C]:(![D]:((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(fof_nnf,status(thm),[c49])).
% 4.80/4.97 fof(c51,axiom,((![B]:(![C]:(![D]:(~member(D,difference(B,C))|(member(D,B)&~member(D,C))))))&(![B]:(![C]:(![D]:((~member(D,B)|member(D,C))|member(D,difference(B,C))))))),inference(shift_quantors,status(thm),[c50])).
% 4.80/4.97 fof(c53,axiom,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:((~member(X28,difference(X26,X27))|(member(X28,X26)&~member(X28,X27)))&((~member(X31,X29)|member(X31,X30))|member(X31,difference(X29,X30)))))))))),inference(shift_quantors,status(thm),[fof(c52,axiom,((![X26]:(![X27]:(![X28]:(~member(X28,difference(X26,X27))|(member(X28,X26)&~member(X28,X27))))))&(![X29]:(![X30]:(![X31]:((~member(X31,X29)|member(X31,X30))|member(X31,difference(X29,X30))))))),inference(variable_rename,status(thm),[c51])).])).
% 4.80/4.97 fof(c54,axiom,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(((~member(X28,difference(X26,X27))|member(X28,X26))&(~member(X28,difference(X26,X27))|~member(X28,X27)))&((~member(X31,X29)|member(X31,X30))|member(X31,difference(X29,X30)))))))))),inference(distribute,status(thm),[c53])).
% 4.80/4.97 cnf(c55,axiom,~member(X88,difference(X90,X89))|member(X88,X90),inference(split_conjunct,status(thm),[c54])).
% 4.80/4.97 cnf(c90,plain,member(skolem0003(difference(X224,X223),X222),X224)|subset(difference(X224,X223),X222),inference(resolution,status(thm),[c55, c26])).
% 4.80/4.97 cnf(c472,plain,subset(difference(X225,X226),X225),inference(resolution,status(thm),[c90, c27])).
% 4.80/4.97 cnf(c486,plain,~subset(X873,difference(X873,X874))|X873=difference(X873,X874),inference(resolution,status(thm),[c472, c45])).
% 4.80/4.97 fof(empty_set_defn,axiom,(![B]:(~member(B,empty_set))),input).
% 4.80/4.97 fof(c46,axiom,(![B]:~member(B,empty_set)),inference(fof_simplification,status(thm),[empty_set_defn])).
% 4.80/4.97 fof(c47,axiom,(![X25]:~member(X25,empty_set)),inference(variable_rename,status(thm),[c46])).
% 4.80/4.97 cnf(c48,axiom,~member(X37,empty_set),inference(split_conjunct,status(thm),[c47])).
% 4.80/4.97 cnf(c57,axiom,~member(X111,X113)|member(X111,X112)|member(X111,difference(X113,X112)),inference(split_conjunct,status(thm),[c54])).
% 4.80/4.97 cnf(c152,plain,member(skolem0003(X634,X633),X632)|member(skolem0003(X634,X633),difference(X634,X632))|subset(X634,X633),inference(resolution,status(thm),[c57, c26])).
% 4.80/4.97 cnf(c2011,plain,member(skolem0003(X2366,X2365),difference(X2366,empty_set))|subset(X2366,X2365),inference(resolution,status(thm),[c152, c48])).
% 4.80/4.97 cnf(c12712,plain,subset(X2367,difference(X2367,empty_set)),inference(resolution,status(thm),[c2011, c27])).
% 4.80/4.97 cnf(c12750,plain,X2368=difference(X2368,empty_set),inference(resolution,status(thm),[c12712, c486])).
% 4.80/4.97 cnf(c12777,plain,difference(X2372,empty_set)=X2372,inference(resolution,status(thm),[c12750, symmetry])).
% 4.80/4.97 cnf(c12940,plain,$false,inference(resolution,status(thm),[c12777, c8])).
% 4.80/4.97 # SZS output end CNFRefutation
% 4.80/4.97
% 4.80/4.97 # Initial clauses : 27
% 4.80/4.97 # Processed clauses : 397
% 4.80/4.97 # Factors computed : 27
% 4.80/4.97 # Resolvents computed: 12945
% 4.80/4.97 # Tautologies deleted: 17
% 4.80/4.97 # Forward subsumed : 955
% 4.80/4.97 # Backward subsumed : 12
% 4.80/4.97 # -------- CPU Time ---------
% 4.80/4.97 # User time : 4.550 s
% 4.80/4.97 # System time : 0.053 s
% 4.80/4.97 # Total time : 4.603 s
%------------------------------------------------------------------------------