TSTP Solution File: SEU320+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU320+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : 300s
% DateTime : Wed May 31 12:36:41 EDT 2023
% Result : Theorem 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU320+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:35:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.40 % Drodi V3.5.1
% 0.21/0.44 % Refutation found
% 0.21/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.44 fof(f40,axiom,(
% 0.21/0.44 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f96,axiom,(
% 0.21/0.44 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( open_subset(B,A)<=> in(B,the_topology(A)) ) ) )) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f98,axiom,(
% 0.21/0.44 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f145,axiom,(
% 0.21/0.44 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f247,axiom,(
% 0.21/0.44 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,subset_complement(A,B)) = B ) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f418,lemma,(
% 0.21/0.44 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( closed_subset(B,A)<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) )) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f425,conjecture,(
% 0.21/0.44 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( open_subset(B,A)<=> closed_subset(subset_complement(the_carrier(A),B),A) ) ) )) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f426,negated_conjecture,(
% 0.21/0.44 ~((! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( open_subset(B,A)<=> closed_subset(subset_complement(the_carrier(A),B),A) ) ) )) ))),
% 0.21/0.44 inference(negated_conjecture,[status(cth)],[f425])).
% 0.21/0.44 fof(f453,lemma,(
% 0.21/0.44 (! [A,B] :( element(B,powerset(A))=> (! [C] :( element(C,powerset(A))=> ( disjoint(B,C)<=> subset(B,subset_complement(A,C)) ) ) )) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f478,lemma,(
% 0.21/0.44 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 0.21/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.44 fof(f646,plain,(
% 0.21/0.44 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.21/0.44 inference(NNF_transformation,[status(esa)],[f40])).
% 0.21/0.44 fof(f647,plain,(
% 0.21/0.44 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.21/0.44 inference(miniscoping,[status(esa)],[f646])).
% 0.21/0.44 fof(f648,plain,(
% 0.21/0.44 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f647])).
% 0.21/0.44 fof(f1073,plain,(
% 0.21/0.44 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(open_subset(B,A)<=>in(B,the_topology(A))))))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.21/0.44 fof(f1074,plain,(
% 0.21/0.44 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|((~open_subset(B,A)|in(B,the_topology(A)))&(open_subset(B,A)|~in(B,the_topology(A)))))))),
% 0.21/0.44 inference(NNF_transformation,[status(esa)],[f1073])).
% 0.21/0.44 fof(f1075,plain,(
% 0.21/0.44 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|in(X1,the_topology(X0)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f1074])).
% 0.21/0.44 fof(f1076,plain,(
% 0.21/0.44 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|open_subset(X1,X0)|~in(X1,the_topology(X0)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f1074])).
% 0.21/0.44 fof(f1085,plain,(
% 0.21/0.44 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 0.21/0.44 fof(f1086,plain,(
% 0.21/0.44 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f1085])).
% 0.21/0.44 fof(f1219,plain,(
% 0.21/0.44 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f145])).
% 0.21/0.44 fof(f1220,plain,(
% 0.21/0.44 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f1219])).
% 0.21/0.44 fof(f1499,plain,(
% 0.21/0.44 ![A,B]: (~element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B)),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f247])).
% 0.21/0.44 fof(f1500,plain,(
% 0.21/0.44 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,subset_complement(X1,X0))=X0)),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f1499])).
% 0.21/0.44 fof(f2330,plain,(
% 0.21/0.44 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(closed_subset(B,A)<=>open_subset(subset_complement(the_carrier(A),B),A)))))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f418])).
% 0.21/0.44 fof(f2331,plain,(
% 0.21/0.44 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|((~closed_subset(B,A)|open_subset(subset_complement(the_carrier(A),B),A))&(closed_subset(B,A)|~open_subset(subset_complement(the_carrier(A),B),A))))))),
% 0.21/0.44 inference(NNF_transformation,[status(esa)],[f2330])).
% 0.21/0.44 fof(f2332,plain,(
% 0.21/0.44 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~closed_subset(X1,X0)|open_subset(subset_complement(the_carrier(X0),X1),X0))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2331])).
% 0.21/0.44 fof(f2333,plain,(
% 0.21/0.44 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|closed_subset(X1,X0)|~open_subset(subset_complement(the_carrier(X0),X1),X0))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2331])).
% 0.21/0.44 fof(f2348,plain,(
% 0.21/0.44 (?[A]: (top_str(A)&(?[B]: (element(B,powerset(the_carrier(A)))&(open_subset(B,A)<~>closed_subset(subset_complement(the_carrier(A),B),A))))))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f426])).
% 0.21/0.44 fof(f2349,plain,(
% 0.21/0.44 ?[A]: (top_str(A)&(?[B]: (element(B,powerset(the_carrier(A)))&((open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A))&(~open_subset(B,A)|~closed_subset(subset_complement(the_carrier(A),B),A))))))),
% 0.21/0.44 inference(NNF_transformation,[status(esa)],[f2348])).
% 0.21/0.44 fof(f2350,plain,(
% 0.21/0.44 (top_str(sk0_286)&(element(sk0_287,powerset(the_carrier(sk0_286)))&((open_subset(sk0_287,sk0_286)|closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286))&(~open_subset(sk0_287,sk0_286)|~closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)))))),
% 0.21/0.44 inference(skolemization,[status(esa)],[f2349])).
% 0.21/0.44 fof(f2351,plain,(
% 0.21/0.44 top_str(sk0_286)),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2350])).
% 0.21/0.44 fof(f2352,plain,(
% 0.21/0.44 element(sk0_287,powerset(the_carrier(sk0_286)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2350])).
% 0.21/0.44 fof(f2353,plain,(
% 0.21/0.44 open_subset(sk0_287,sk0_286)|closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2350])).
% 0.21/0.44 fof(f2354,plain,(
% 0.21/0.44 ~open_subset(sk0_287,sk0_286)|~closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2350])).
% 0.21/0.44 fof(f2447,plain,(
% 0.21/0.44 ![A,B]: (~element(B,powerset(A))|(![C]: (~element(C,powerset(A))|(disjoint(B,C)<=>subset(B,subset_complement(A,C))))))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f453])).
% 0.21/0.44 fof(f2448,plain,(
% 0.21/0.44 ![A,B]: (~element(B,powerset(A))|(![C]: (~element(C,powerset(A))|((~disjoint(B,C)|subset(B,subset_complement(A,C)))&(disjoint(B,C)|~subset(B,subset_complement(A,C)))))))),
% 0.21/0.44 inference(NNF_transformation,[status(esa)],[f2447])).
% 0.21/0.44 fof(f2449,plain,(
% 0.21/0.44 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|~disjoint(X0,X2)|subset(X0,subset_complement(X1,X2)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2448])).
% 0.21/0.44 fof(f2450,plain,(
% 0.21/0.44 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|disjoint(X0,X2)|~subset(X0,subset_complement(X1,X2)))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2448])).
% 0.21/0.44 fof(f2536,plain,(
% 0.21/0.44 ![A,B,C]: (~element(C,powerset(A))|(~in(B,subset_complement(A,C))|~in(B,C)))),
% 0.21/0.44 inference(pre_NNF_transformation,[status(esa)],[f478])).
% 0.21/0.44 fof(f2537,plain,(
% 0.21/0.44 ![A,C]: (~element(C,powerset(A))|(![B]: (~in(B,subset_complement(A,C))|~in(B,C))))),
% 0.21/0.44 inference(miniscoping,[status(esa)],[f2536])).
% 0.21/0.44 fof(f2538,plain,(
% 0.21/0.44 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,subset_complement(X1,X0))|~in(X2,X0))),
% 0.21/0.44 inference(cnf_transformation,[status(esa)],[f2537])).
% 0.21/0.44 fof(f3048,plain,(
% 0.21/0.44 spl0_31 <=> open_subset(sk0_287,sk0_286)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3050,plain,(
% 0.21/0.44 ~open_subset(sk0_287,sk0_286)|spl0_31),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3048])).
% 0.21/0.44 fof(f3051,plain,(
% 0.21/0.44 spl0_32 <=> closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3052,plain,(
% 0.21/0.44 closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)|~spl0_32),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3051])).
% 0.21/0.44 fof(f3053,plain,(
% 0.21/0.44 ~closed_subset(subset_complement(the_carrier(sk0_286),sk0_287),sk0_286)|spl0_32),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3051])).
% 0.21/0.44 fof(f3054,plain,(
% 0.21/0.44 spl0_31|spl0_32),
% 0.21/0.44 inference(split_clause,[status(thm)],[f2353,f3048,f3051])).
% 0.21/0.44 fof(f3055,plain,(
% 0.21/0.44 ~spl0_31|~spl0_32),
% 0.21/0.44 inference(split_clause,[status(thm)],[f2354,f3048,f3051])).
% 0.21/0.44 fof(f3123,plain,(
% 0.21/0.44 ![X0]: (subset(X0,X0))),
% 0.21/0.44 inference(destructive_equality_resolution,[status(esa)],[f648])).
% 0.21/0.44 fof(f3186,plain,(
% 0.21/0.44 subset_complement(the_carrier(sk0_286),sk0_287)=set_difference(the_carrier(sk0_286),sk0_287)),
% 0.21/0.44 inference(resolution,[status(thm)],[f1086,f2352])).
% 0.21/0.44 fof(f3187,plain,(
% 0.21/0.44 spl0_50 <=> top_str(sk0_286)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3189,plain,(
% 0.21/0.44 ~top_str(sk0_286)|spl0_50),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3187])).
% 0.21/0.44 fof(f3190,plain,(
% 0.21/0.44 spl0_51 <=> in(sk0_287,the_topology(sk0_286))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3193,plain,(
% 0.21/0.44 ~top_str(sk0_286)|~open_subset(sk0_287,sk0_286)|in(sk0_287,the_topology(sk0_286))),
% 0.21/0.44 inference(resolution,[status(thm)],[f1075,f2352])).
% 0.21/0.44 fof(f3194,plain,(
% 0.21/0.44 ~spl0_50|~spl0_31|spl0_51),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3193,f3187,f3048,f3190])).
% 0.21/0.44 fof(f3195,plain,(
% 0.21/0.44 $false|spl0_50),
% 0.21/0.44 inference(forward_subsumption_resolution,[status(thm)],[f3189,f2351])).
% 0.21/0.44 fof(f3196,plain,(
% 0.21/0.44 spl0_50),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f3195])).
% 0.21/0.44 fof(f3197,plain,(
% 0.21/0.44 closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)|~spl0_32),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f3186,f3052])).
% 0.21/0.44 fof(f3198,plain,(
% 0.21/0.44 subset_complement(the_carrier(sk0_286),subset_complement(the_carrier(sk0_286),sk0_287))=sk0_287),
% 0.21/0.44 inference(resolution,[status(thm)],[f1500,f2352])).
% 0.21/0.44 fof(f3199,plain,(
% 0.21/0.44 subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287))=sk0_287),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f3186,f3198])).
% 0.21/0.44 fof(f3202,plain,(
% 0.21/0.44 element(subset_complement(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))),
% 0.21/0.44 inference(resolution,[status(thm)],[f1220,f2352])).
% 0.21/0.44 fof(f3203,plain,(
% 0.21/0.44 element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f3186,f3202])).
% 0.21/0.44 fof(f3220,plain,(
% 0.21/0.44 spl0_54 <=> element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3222,plain,(
% 0.21/0.44 ~element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))|spl0_54),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3220])).
% 0.21/0.44 fof(f3223,plain,(
% 0.21/0.44 spl0_55 <=> ~in(X0,sk0_287)|~in(X0,set_difference(the_carrier(sk0_286),sk0_287))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3228,plain,(
% 0.21/0.44 spl0_56 <=> element(sk0_287,powerset(the_carrier(sk0_286)))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3230,plain,(
% 0.21/0.44 ~element(sk0_287,powerset(the_carrier(sk0_286)))|spl0_56),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3228])).
% 0.21/0.44 fof(f3231,plain,(
% 0.21/0.44 ![X0]: (~element(sk0_287,powerset(the_carrier(sk0_286)))|~in(X0,set_difference(the_carrier(sk0_286),sk0_287))|~in(X0,sk0_287))),
% 0.21/0.44 inference(paramodulation,[status(thm)],[f3186,f2538])).
% 0.21/0.44 fof(f3232,plain,(
% 0.21/0.44 ~spl0_56|spl0_55),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3231,f3228,f3223])).
% 0.21/0.44 fof(f3233,plain,(
% 0.21/0.44 $false|spl0_56),
% 0.21/0.44 inference(forward_subsumption_resolution,[status(thm)],[f3230,f2352])).
% 0.21/0.44 fof(f3234,plain,(
% 0.21/0.44 spl0_56),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f3233])).
% 0.21/0.44 fof(f3237,plain,(
% 0.21/0.44 ~top_str(sk0_286)|open_subset(sk0_287,sk0_286)|~in(sk0_287,the_topology(sk0_286))),
% 0.21/0.44 inference(resolution,[status(thm)],[f1076,f2352])).
% 0.21/0.44 fof(f3238,plain,(
% 0.21/0.44 ~spl0_50|spl0_31|~spl0_51),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3237,f3187,f3048,f3190])).
% 0.21/0.44 fof(f3239,plain,(
% 0.21/0.44 spl0_57 <=> closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3241,plain,(
% 0.21/0.44 ~closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)|spl0_57),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3239])).
% 0.21/0.44 fof(f3242,plain,(
% 0.21/0.44 spl0_58 <=> open_subset(subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287)),sk0_286)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3243,plain,(
% 0.21/0.44 open_subset(subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287)),sk0_286)|~spl0_58),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3242])).
% 0.21/0.44 fof(f3245,plain,(
% 0.21/0.44 ~top_str(sk0_286)|~closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)|open_subset(subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287)),sk0_286)),
% 0.21/0.44 inference(resolution,[status(thm)],[f2332,f3203])).
% 0.21/0.44 fof(f3246,plain,(
% 0.21/0.44 ~spl0_50|~spl0_57|spl0_58),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3245,f3187,f3239,f3242])).
% 0.21/0.44 fof(f3268,plain,(
% 0.21/0.44 $false|~spl0_32|spl0_57),
% 0.21/0.44 inference(forward_subsumption_resolution,[status(thm)],[f3241,f3197])).
% 0.21/0.44 fof(f3269,plain,(
% 0.21/0.44 ~spl0_32|spl0_57),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f3268])).
% 0.21/0.44 fof(f3270,plain,(
% 0.21/0.44 open_subset(sk0_287,sk0_286)|~spl0_58),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f3199,f3243])).
% 0.21/0.44 fof(f3271,plain,(
% 0.21/0.44 $false|spl0_31|~spl0_58),
% 0.21/0.44 inference(forward_subsumption_resolution,[status(thm)],[f3270,f3050])).
% 0.21/0.44 fof(f3272,plain,(
% 0.21/0.44 spl0_31|~spl0_58),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f3271])).
% 0.21/0.44 fof(f3273,plain,(
% 0.21/0.44 ~closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)|spl0_32),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f3186,f3053])).
% 0.21/0.44 fof(f3282,plain,(
% 0.21/0.44 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|~disjoint(set_difference(the_carrier(sk0_286),sk0_287),X0)|subset(set_difference(the_carrier(sk0_286),sk0_287),subset_complement(the_carrier(sk0_286),X0)))),
% 0.21/0.44 inference(resolution,[status(thm)],[f2449,f3203])).
% 0.21/0.44 fof(f3283,plain,(
% 0.21/0.44 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|~disjoint(sk0_287,X0)|subset(sk0_287,subset_complement(the_carrier(sk0_286),X0)))),
% 0.21/0.44 inference(resolution,[status(thm)],[f2449,f2352])).
% 0.21/0.44 fof(f3284,plain,(
% 0.21/0.44 spl0_65 <=> disjoint(sk0_287,set_difference(the_carrier(sk0_286),sk0_287))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3287,plain,(
% 0.21/0.44 spl0_66 <=> subset(sk0_287,subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287)))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3290,plain,(
% 0.21/0.44 ~disjoint(sk0_287,set_difference(the_carrier(sk0_286),sk0_287))|subset(sk0_287,subset_complement(the_carrier(sk0_286),set_difference(the_carrier(sk0_286),sk0_287)))),
% 0.21/0.44 inference(resolution,[status(thm)],[f3283,f3203])).
% 0.21/0.44 fof(f3291,plain,(
% 0.21/0.44 ~spl0_65|spl0_66),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3290,f3284,f3287])).
% 0.21/0.44 fof(f3302,plain,(
% 0.21/0.44 spl0_69 <=> ~element(X0,powerset(the_carrier(sk0_286)))|disjoint(X0,set_difference(the_carrier(sk0_286),sk0_287))|~subset(X0,sk0_287)),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3303,plain,(
% 0.21/0.44 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|disjoint(X0,set_difference(the_carrier(sk0_286),sk0_287))|~subset(X0,sk0_287)|~spl0_69)),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3302])).
% 0.21/0.44 fof(f3305,plain,(
% 0.21/0.44 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|~element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))|disjoint(X0,set_difference(the_carrier(sk0_286),sk0_287))|~subset(X0,sk0_287))),
% 0.21/0.44 inference(paramodulation,[status(thm)],[f3199,f2450])).
% 0.21/0.44 fof(f3306,plain,(
% 0.21/0.44 spl0_69|~spl0_54),
% 0.21/0.44 inference(split_clause,[status(thm)],[f3305,f3302,f3220])).
% 0.21/0.44 fof(f3307,plain,(
% 0.21/0.44 spl0_70 <=> ~element(X0,powerset(the_carrier(sk0_286)))|disjoint(X0,sk0_287)|~subset(X0,set_difference(the_carrier(sk0_286),sk0_287))),
% 0.21/0.44 introduced(split_symbol_definition)).
% 0.21/0.44 fof(f3308,plain,(
% 0.21/0.44 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|disjoint(X0,sk0_287)|~subset(X0,set_difference(the_carrier(sk0_286),sk0_287))|~spl0_70)),
% 0.21/0.44 inference(component_clause,[status(thm)],[f3307])).
% 0.21/0.45 fof(f3310,plain,(
% 0.21/0.45 ![X0]: (~element(X0,powerset(the_carrier(sk0_286)))|~element(sk0_287,powerset(the_carrier(sk0_286)))|disjoint(X0,sk0_287)|~subset(X0,set_difference(the_carrier(sk0_286),sk0_287)))),
% 0.21/0.45 inference(paramodulation,[status(thm)],[f3186,f2450])).
% 0.21/0.45 fof(f3311,plain,(
% 0.21/0.45 spl0_70|~spl0_56),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3310,f3307,f3228])).
% 0.21/0.45 fof(f3312,plain,(
% 0.21/0.45 $false|spl0_54),
% 0.21/0.45 inference(forward_subsumption_resolution,[status(thm)],[f3222,f3203])).
% 0.21/0.45 fof(f3313,plain,(
% 0.21/0.45 spl0_54),
% 0.21/0.45 inference(contradiction_clause,[status(thm)],[f3312])).
% 0.21/0.45 fof(f3314,plain,(
% 0.21/0.45 spl0_71 <=> disjoint(set_difference(the_carrier(sk0_286),sk0_287),sk0_287)),
% 0.21/0.45 introduced(split_symbol_definition)).
% 0.21/0.45 fof(f3315,plain,(
% 0.21/0.45 disjoint(set_difference(the_carrier(sk0_286),sk0_287),sk0_287)|~spl0_71),
% 0.21/0.45 inference(component_clause,[status(thm)],[f3314])).
% 0.21/0.45 fof(f3317,plain,(
% 0.21/0.45 ~element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))|disjoint(set_difference(the_carrier(sk0_286),sk0_287),sk0_287)|~spl0_70),
% 0.21/0.45 inference(resolution,[status(thm)],[f3308,f3123])).
% 0.21/0.45 fof(f3318,plain,(
% 0.21/0.45 ~spl0_54|spl0_71|~spl0_70),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3317,f3220,f3314,f3307])).
% 0.21/0.45 fof(f3319,plain,(
% 0.21/0.45 spl0_72 <=> disjoint(set_difference(the_carrier(sk0_286),sk0_287),set_difference(the_carrier(sk0_286),sk0_287))),
% 0.21/0.45 introduced(split_symbol_definition)).
% 0.21/0.45 fof(f3322,plain,(
% 0.21/0.45 spl0_73 <=> subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_287)),
% 0.21/0.45 introduced(split_symbol_definition)).
% 0.21/0.45 fof(f3325,plain,(
% 0.21/0.45 disjoint(set_difference(the_carrier(sk0_286),sk0_287),set_difference(the_carrier(sk0_286),sk0_287))|~subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_287)|~spl0_69),
% 0.21/0.45 inference(resolution,[status(thm)],[f3303,f3203])).
% 0.21/0.45 fof(f3326,plain,(
% 0.21/0.45 spl0_72|~spl0_73|~spl0_69),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3325,f3319,f3322,f3302])).
% 0.21/0.45 fof(f3327,plain,(
% 0.21/0.45 spl0_74 <=> subset(sk0_287,sk0_287)),
% 0.21/0.45 introduced(split_symbol_definition)).
% 0.21/0.45 fof(f3329,plain,(
% 0.21/0.45 ~subset(sk0_287,sk0_287)|spl0_74),
% 0.21/0.45 inference(component_clause,[status(thm)],[f3327])).
% 0.21/0.45 fof(f3330,plain,(
% 0.21/0.45 disjoint(sk0_287,set_difference(the_carrier(sk0_286),sk0_287))|~subset(sk0_287,sk0_287)|~spl0_69),
% 0.21/0.45 inference(resolution,[status(thm)],[f3303,f2352])).
% 0.21/0.45 fof(f3331,plain,(
% 0.21/0.45 spl0_65|~spl0_74|~spl0_69),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3330,f3284,f3327,f3302])).
% 0.21/0.45 fof(f3332,plain,(
% 0.21/0.45 $false|spl0_74),
% 0.21/0.45 inference(forward_subsumption_resolution,[status(thm)],[f3329,f3123])).
% 0.21/0.45 fof(f3333,plain,(
% 0.21/0.45 spl0_74),
% 0.21/0.45 inference(contradiction_clause,[status(thm)],[f3332])).
% 0.21/0.45 fof(f3335,plain,(
% 0.21/0.45 spl0_75 <=> subset(set_difference(the_carrier(sk0_286),sk0_287),subset_complement(the_carrier(sk0_286),sk0_287))),
% 0.21/0.45 introduced(split_symbol_definition)).
% 0.21/0.45 fof(f3338,plain,(
% 0.21/0.45 ~element(sk0_287,powerset(the_carrier(sk0_286)))|subset(set_difference(the_carrier(sk0_286),sk0_287),subset_complement(the_carrier(sk0_286),sk0_287))|~spl0_71),
% 0.21/0.45 inference(resolution,[status(thm)],[f3315,f3282])).
% 0.21/0.45 fof(f3339,plain,(
% 0.21/0.45 ~spl0_56|spl0_75|~spl0_71),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3338,f3228,f3335,f3314])).
% 0.21/0.45 fof(f3343,plain,(
% 0.21/0.45 ~top_str(sk0_286)|~element(set_difference(the_carrier(sk0_286),sk0_287),powerset(the_carrier(sk0_286)))|closed_subset(set_difference(the_carrier(sk0_286),sk0_287),sk0_286)|~open_subset(sk0_287,sk0_286)),
% 0.21/0.45 inference(paramodulation,[status(thm)],[f3199,f2333])).
% 0.21/0.45 fof(f3344,plain,(
% 0.21/0.45 ~spl0_50|~spl0_54|spl0_57|~spl0_31),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3343,f3187,f3220,f3239,f3048])).
% 0.21/0.45 fof(f3350,plain,(
% 0.21/0.45 ~spl0_57|spl0_32),
% 0.21/0.45 inference(split_clause,[status(thm)],[f3273,f3239,f3051])).
% 0.21/0.45 fof(f3351,plain,(
% 0.21/0.45 $false),
% 0.21/0.45 inference(sat_refutation,[status(thm)],[f3054,f3055,f3194,f3196,f3232,f3234,f3238,f3246,f3269,f3272,f3291,f3306,f3311,f3313,f3318,f3326,f3331,f3333,f3339,f3344,f3350])).
% 0.21/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.47 % Elapsed time: 0.119780 seconds
% 0.21/0.47 % CPU time: 0.329629 seconds
% 0.21/0.47 % Memory used: 51.695 MB
%------------------------------------------------------------------------------