TSTP Solution File: SEU375+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:42:07 EDT 2024
% Result : Theorem 12.57s 1.98s
% Output : CNFRefutation 12.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n031.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 20:20:58 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.38 % Drodi V3.6.0
% 12.57/1.98 % Refutation found
% 12.57/1.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.57/1.98 % SZS output start CNFRefutation for theBenchmark
% 12.57/1.98 fof(f105,axiom,(
% 12.57/1.98 (! [A] :( one_sorted_str(A)=> ( empty_carrier(A)<=> empty(the_carrier(A)) ) ) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f124,axiom,(
% 12.57/1.98 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f181,axiom,(
% 12.57/1.98 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( net_str(C,A)=> ( subnetstr(C,A,B)<=> ( subrelstr(C,B)& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) )) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f187,axiom,(
% 12.57/1.98 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( subnetstr(C,A,B)=> ( full_subnetstr(C,A,B)<=> ( full_subrelstr(C,B)& subrelstr(C,B) ) ) ) )) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f269,axiom,(
% 12.57/1.98 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f272,axiom,(
% 12.57/1.98 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f279,axiom,(
% 12.57/1.98 (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> (! [C] :( subnetstr(C,A,B)=> net_str(C,A) ) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f601,axiom,(
% 12.57/1.98 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f614,conjecture,(
% 12.57/1.98 (! [A] :( one_sorted_str(A)=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C] :( ( ~ empty_carrier(C)& full_subnetstr(C,A,B)& subnetstr(C,A,B) )=> (! [D] :( element(D,the_carrier(B))=> (! [E] :( element(E,the_carrier(B))=> (! [F] :( element(F,the_carrier(C))=> (! [G] :( element(G,the_carrier(C))=> ( ( D = F& E = G& related(B,D,E) )=> related(C,F,G) ) ) )) )) )) )) )) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f615,negated_conjecture,(
% 12.57/1.98 ~((! [A] :( one_sorted_str(A)=> (! [B] :( ( ~ empty_carrier(B)& net_str(B,A) )=> (! [C] :( ( ~ empty_carrier(C)& full_subnetstr(C,A,B)& subnetstr(C,A,B) )=> (! [D] :( element(D,the_carrier(B))=> (! [E] :( element(E,the_carrier(B))=> (! [F] :( element(F,the_carrier(C))=> (! [G] :( element(G,the_carrier(C))=> ( ( D = F& E = G& related(B,D,E) )=> related(C,F,G) ) ) )) )) )) )) )) )) ))),
% 12.57/1.98 inference(negated_conjecture,[status(cth)],[f614])).
% 12.57/1.98 fof(f729,lemma,(
% 12.57/1.98 (! [A] :( rel_str(A)=> (! [B] :( ( full_subrelstr(B,A)& subrelstr(B,A) )=> (! [C] :( element(C,the_carrier(A))=> (! [D] :( element(D,the_carrier(A))=> (! [E] :( element(E,the_carrier(B))=> (! [F] :( element(F,the_carrier(B))=> ( ( E = C& F = D& related(A,C,D)& in(E,the_carrier(B))& in(F,the_carrier(B)) )=> related(B,E,F) ) ) )) )) )) )) )) )),
% 12.57/1.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.57/1.98 fof(f1279,plain,(
% 12.57/1.98 ![A]: (~one_sorted_str(A)|(empty_carrier(A)<=>empty(the_carrier(A))))),
% 12.57/1.98 inference(pre_NNF_transformation,[status(esa)],[f105])).
% 12.57/1.98 fof(f1280,plain,(
% 12.57/1.98 ![A]: (~one_sorted_str(A)|((~empty_carrier(A)|empty(the_carrier(A)))&(empty_carrier(A)|~empty(the_carrier(A)))))),
% 12.57/1.98 inference(NNF_transformation,[status(esa)],[f1279])).
% 12.57/1.98 fof(f1282,plain,(
% 12.57/1.98 ![X0]: (~one_sorted_str(X0)|empty_carrier(X0)|~empty(the_carrier(X0)))),
% 12.57/1.98 inference(cnf_transformation,[status(esa)],[f1280])).
% 12.57/1.98 fof(f1394,plain,(
% 12.57/1.98 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 12.57/1.98 inference(pre_NNF_transformation,[status(esa)],[f124])).
% 12.57/1.98 fof(f1395,plain,(
% 12.57/1.98 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 12.57/1.98 inference(NNF_transformation,[status(esa)],[f1394])).
% 12.57/1.98 fof(f1396,plain,(
% 12.57/1.98 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 12.57/1.98 inference(miniscoping,[status(esa)],[f1395])).
% 12.57/1.99 fof(f1397,plain,(
% 12.57/1.99 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1396])).
% 12.57/1.99 fof(f1792,plain,(
% 12.57/1.99 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|(subnetstr(C,A,B)<=>(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)))))))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f181])).
% 12.57/1.99 fof(f1793,plain,(
% 12.57/1.99 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|((~subnetstr(C,A,B)|(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))&(subnetstr(C,A,B)|(~subrelstr(C,B)|~the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))))))))),
% 12.57/1.99 inference(NNF_transformation,[status(esa)],[f1792])).
% 12.57/1.99 fof(f1794,plain,(
% 12.57/1.99 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~net_str(X2,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1793])).
% 12.57/1.99 fof(f1824,plain,(
% 12.57/1.99 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~subnetstr(C,A,B)|(full_subnetstr(C,A,B)<=>(full_subrelstr(C,B)&subrelstr(C,B))))))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f187])).
% 12.57/1.99 fof(f1825,plain,(
% 12.57/1.99 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~subnetstr(C,A,B)|((~full_subnetstr(C,A,B)|(full_subrelstr(C,B)&subrelstr(C,B)))&(full_subnetstr(C,A,B)|(~full_subrelstr(C,B)|~subrelstr(C,B)))))))))),
% 12.57/1.99 inference(NNF_transformation,[status(esa)],[f1824])).
% 12.57/1.99 fof(f1826,plain,(
% 12.57/1.99 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|~full_subnetstr(X2,X0,X1)|full_subrelstr(X2,X1))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1825])).
% 12.57/1.99 fof(f1970,plain,(
% 12.57/1.99 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f269])).
% 12.57/1.99 fof(f1971,plain,(
% 12.57/1.99 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1970])).
% 12.57/1.99 fof(f1974,plain,(
% 12.57/1.99 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f272])).
% 12.57/1.99 fof(f1975,plain,(
% 12.57/1.99 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1974])).
% 12.57/1.99 fof(f1985,plain,(
% 12.57/1.99 ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|(![C]: (~subnetstr(C,A,B)|net_str(C,A))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f279])).
% 12.57/1.99 fof(f1986,plain,(
% 12.57/1.99 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|net_str(X2,X0))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f1985])).
% 12.57/1.99 fof(f3619,plain,(
% 12.57/1.99 ![A,B]: (~in(A,B)|element(A,B))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f601])).
% 12.57/1.99 fof(f3620,plain,(
% 12.57/1.99 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3619])).
% 12.57/1.99 fof(f3665,plain,(
% 12.57/1.99 (?[A]: (one_sorted_str(A)&(?[B]: ((~empty_carrier(B)&net_str(B,A))&(?[C]: (((~empty_carrier(C)&full_subnetstr(C,A,B))&subnetstr(C,A,B))&(?[D]: (element(D,the_carrier(B))&(?[E]: (element(E,the_carrier(B))&(?[F]: (element(F,the_carrier(C))&(?[G]: (element(G,the_carrier(C))&(((D=F&E=G)&related(B,D,E))&~related(C,F,G))))))))))))))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f615])).
% 12.57/1.99 fof(f3666,plain,(
% 12.57/1.99 (one_sorted_str(sk0_409)&((~empty_carrier(sk0_410)&net_str(sk0_410,sk0_409))&(((~empty_carrier(sk0_411)&full_subnetstr(sk0_411,sk0_409,sk0_410))&subnetstr(sk0_411,sk0_409,sk0_410))&(element(sk0_412,the_carrier(sk0_410))&(element(sk0_413,the_carrier(sk0_410))&(element(sk0_414,the_carrier(sk0_411))&(element(sk0_415,the_carrier(sk0_411))&(((sk0_412=sk0_414&sk0_413=sk0_415)&related(sk0_410,sk0_412,sk0_413))&~related(sk0_411,sk0_414,sk0_415)))))))))),
% 12.57/1.99 inference(skolemization,[status(esa)],[f3665])).
% 12.57/1.99 fof(f3667,plain,(
% 12.57/1.99 one_sorted_str(sk0_409)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3669,plain,(
% 12.57/1.99 net_str(sk0_410,sk0_409)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3670,plain,(
% 12.57/1.99 ~empty_carrier(sk0_411)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3671,plain,(
% 12.57/1.99 full_subnetstr(sk0_411,sk0_409,sk0_410)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3672,plain,(
% 12.57/1.99 subnetstr(sk0_411,sk0_409,sk0_410)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3673,plain,(
% 12.57/1.99 element(sk0_412,the_carrier(sk0_410))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3674,plain,(
% 12.57/1.99 element(sk0_413,the_carrier(sk0_410))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3675,plain,(
% 12.57/1.99 element(sk0_414,the_carrier(sk0_411))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3676,plain,(
% 12.57/1.99 element(sk0_415,the_carrier(sk0_411))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3677,plain,(
% 12.57/1.99 sk0_412=sk0_414),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3678,plain,(
% 12.57/1.99 sk0_413=sk0_415),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3679,plain,(
% 12.57/1.99 related(sk0_410,sk0_412,sk0_413)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f3680,plain,(
% 12.57/1.99 ~related(sk0_411,sk0_414,sk0_415)),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f3666])).
% 12.57/1.99 fof(f4067,plain,(
% 12.57/1.99 ![A]: (~rel_str(A)|(![B]: ((~full_subrelstr(B,A)|~subrelstr(B,A))|(![C]: (~element(C,the_carrier(A))|(![D]: (~element(D,the_carrier(A))|(![E]: (~element(E,the_carrier(B))|(![F]: (~element(F,the_carrier(B))|(((((~E=C|~F=D)|~related(A,C,D))|~in(E,the_carrier(B)))|~in(F,the_carrier(B)))|related(B,E,F)))))))))))))),
% 12.57/1.99 inference(pre_NNF_transformation,[status(esa)],[f729])).
% 12.57/1.99 fof(f4068,plain,(
% 12.57/1.99 ![X0,X1,X2,X3,X4,X5]: (~rel_str(X0)|~full_subrelstr(X1,X0)|~subrelstr(X1,X0)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X0))|~element(X4,the_carrier(X1))|~element(X5,the_carrier(X1))|~X4=X2|~X5=X3|~related(X0,X2,X3)|~in(X4,the_carrier(X1))|~in(X5,the_carrier(X1))|related(X1,X4,X5))),
% 12.57/1.99 inference(cnf_transformation,[status(esa)],[f4067])).
% 12.57/1.99 fof(f4981,plain,(
% 12.57/1.99 ~related(sk0_411,sk0_412,sk0_415)),
% 12.57/1.99 inference(forward_demodulation,[status(thm)],[f3677,f3680])).
% 12.57/1.99 fof(f4982,plain,(
% 12.57/1.99 ~related(sk0_411,sk0_412,sk0_413)),
% 12.57/1.99 inference(forward_demodulation,[status(thm)],[f3678,f4981])).
% 12.57/1.99 fof(f5016,plain,(
% 12.57/1.99 ![X0,X1,X2,X3]: (~rel_str(X0)|~full_subrelstr(X1,X0)|~subrelstr(X1,X0)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X0))|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~related(X0,X2,X3)|~in(X2,the_carrier(X1))|~in(X3,the_carrier(X1))|related(X1,X2,X3))),
% 12.57/1.99 inference(destructive_equality_resolution,[status(esa)],[f4068])).
% 12.57/1.99 fof(f5017,plain,(
% 12.57/1.99 ![X0,X1,X2,X3]: (~rel_str(X0)|~full_subrelstr(X1,X0)|~subrelstr(X1,X0)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X0))|~element(X3,the_carrier(X1))|~related(X0,X2,X3)|~in(X2,the_carrier(X1))|~in(X3,the_carrier(X1))|related(X1,X2,X3))),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5016,f3620])).
% 12.57/1.99 fof(f5119,plain,(
% 12.57/1.99 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 12.57/1.99 inference(backward_subsumption_resolution,[status(thm)],[f1794,f1986])).
% 12.57/1.99 fof(f5130,plain,(
% 12.57/1.99 element(sk0_412,the_carrier(sk0_411))),
% 12.57/1.99 inference(backward_demodulation,[status(thm)],[f3677,f3675])).
% 12.57/1.99 fof(f5131,plain,(
% 12.57/1.99 element(sk0_413,the_carrier(sk0_411))),
% 12.57/1.99 inference(backward_demodulation,[status(thm)],[f3678,f3676])).
% 12.57/1.99 fof(f5203,plain,(
% 12.57/1.99 spl0_54 <=> one_sorted_str(sk0_409)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5205,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|spl0_54),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5203])).
% 12.57/1.99 fof(f5206,plain,(
% 12.57/1.99 spl0_55 <=> rel_str(sk0_410)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5209,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|rel_str(sk0_410)),
% 12.57/1.99 inference(resolution,[status(thm)],[f1975,f3669])).
% 12.57/1.99 fof(f5210,plain,(
% 12.57/1.99 ~spl0_54|spl0_55),
% 12.57/1.99 inference(split_clause,[status(thm)],[f5209,f5203,f5206])).
% 12.57/1.99 fof(f5211,plain,(
% 12.57/1.99 $false|spl0_54),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5205,f3667])).
% 12.57/1.99 fof(f5212,plain,(
% 12.57/1.99 spl0_54),
% 12.57/1.99 inference(contradiction_clause,[status(thm)],[f5211])).
% 12.57/1.99 fof(f5222,plain,(
% 12.57/1.99 spl0_58 <=> net_str(sk0_410,sk0_409)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5224,plain,(
% 12.57/1.99 ~net_str(sk0_410,sk0_409)|spl0_58),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5222])).
% 12.57/1.99 fof(f5225,plain,(
% 12.57/1.99 spl0_59 <=> net_str(sk0_411,sk0_409)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5226,plain,(
% 12.57/1.99 net_str(sk0_411,sk0_409)|~spl0_59),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5225])).
% 12.57/1.99 fof(f5228,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|~net_str(sk0_410,sk0_409)|net_str(sk0_411,sk0_409)),
% 12.57/1.99 inference(resolution,[status(thm)],[f1986,f3672])).
% 12.57/1.99 fof(f5229,plain,(
% 12.57/1.99 ~spl0_54|~spl0_58|spl0_59),
% 12.57/1.99 inference(split_clause,[status(thm)],[f5228,f5203,f5222,f5225])).
% 12.57/1.99 fof(f5230,plain,(
% 12.57/1.99 $false|spl0_58),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5224,f3669])).
% 12.57/1.99 fof(f5231,plain,(
% 12.57/1.99 spl0_58),
% 12.57/1.99 inference(contradiction_clause,[status(thm)],[f5230])).
% 12.57/1.99 fof(f5232,plain,(
% 12.57/1.99 spl0_60 <=> rel_str(sk0_411)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5233,plain,(
% 12.57/1.99 rel_str(sk0_411)|~spl0_60),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5232])).
% 12.57/1.99 fof(f5235,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|rel_str(sk0_411)|~spl0_59),
% 12.57/1.99 inference(resolution,[status(thm)],[f5226,f1975])).
% 12.57/1.99 fof(f5236,plain,(
% 12.57/1.99 ~spl0_54|spl0_60|~spl0_59),
% 12.57/1.99 inference(split_clause,[status(thm)],[f5235,f5203,f5232,f5225])).
% 12.57/1.99 fof(f5237,plain,(
% 12.57/1.99 one_sorted_str(sk0_411)|~spl0_60),
% 12.57/1.99 inference(resolution,[status(thm)],[f5233,f1971])).
% 12.57/1.99 fof(f5238,plain,(
% 12.57/1.99 spl0_61 <=> empty_carrier(sk0_411)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5239,plain,(
% 12.57/1.99 empty_carrier(sk0_411)|~spl0_61),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5238])).
% 12.57/1.99 fof(f5241,plain,(
% 12.57/1.99 spl0_62 <=> empty(the_carrier(sk0_411))),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5242,plain,(
% 12.57/1.99 empty(the_carrier(sk0_411))|~spl0_62),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5241])).
% 12.57/1.99 fof(f5246,plain,(
% 12.57/1.99 spl0_63 <=> subrelstr(sk0_411,sk0_410)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5249,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|~net_str(sk0_410,sk0_409)|subrelstr(sk0_411,sk0_410)),
% 12.57/1.99 inference(resolution,[status(thm)],[f5119,f3672])).
% 12.57/1.99 fof(f5250,plain,(
% 12.57/1.99 ~spl0_54|~spl0_58|spl0_63),
% 12.57/1.99 inference(split_clause,[status(thm)],[f5249,f5203,f5222,f5246])).
% 12.57/1.99 fof(f5256,plain,(
% 12.57/1.99 spl0_65 <=> subnetstr(sk0_411,sk0_409,sk0_410)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5258,plain,(
% 12.57/1.99 ~subnetstr(sk0_411,sk0_409,sk0_410)|spl0_65),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5256])).
% 12.57/1.99 fof(f5259,plain,(
% 12.57/1.99 spl0_66 <=> full_subrelstr(sk0_411,sk0_410)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5262,plain,(
% 12.57/1.99 ~one_sorted_str(sk0_409)|~net_str(sk0_410,sk0_409)|~subnetstr(sk0_411,sk0_409,sk0_410)|full_subrelstr(sk0_411,sk0_410)),
% 12.57/1.99 inference(resolution,[status(thm)],[f1826,f3671])).
% 12.57/1.99 fof(f5263,plain,(
% 12.57/1.99 ~spl0_54|~spl0_58|~spl0_65|spl0_66),
% 12.57/1.99 inference(split_clause,[status(thm)],[f5262,f5203,f5222,f5256,f5259])).
% 12.57/1.99 fof(f5264,plain,(
% 12.57/1.99 $false|spl0_65),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5258,f3672])).
% 12.57/1.99 fof(f5265,plain,(
% 12.57/1.99 spl0_65),
% 12.57/1.99 inference(contradiction_clause,[status(thm)],[f5264])).
% 12.57/1.99 fof(f5317,plain,(
% 12.57/1.99 spl0_78 <=> element(sk0_413,the_carrier(sk0_410))),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5319,plain,(
% 12.57/1.99 ~element(sk0_413,the_carrier(sk0_410))|spl0_78),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5317])).
% 12.57/1.99 fof(f5333,plain,(
% 12.57/1.99 spl0_82 <=> element(sk0_412,the_carrier(sk0_410))),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5335,plain,(
% 12.57/1.99 ~element(sk0_412,the_carrier(sk0_410))|spl0_82),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5333])).
% 12.57/1.99 fof(f5359,plain,(
% 12.57/1.99 $false|spl0_78),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5319,f3674])).
% 12.57/1.99 fof(f5360,plain,(
% 12.57/1.99 spl0_78),
% 12.57/1.99 inference(contradiction_clause,[status(thm)],[f5359])).
% 12.57/1.99 fof(f5361,plain,(
% 12.57/1.99 $false|spl0_82),
% 12.57/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5335,f3673])).
% 12.57/1.99 fof(f5362,plain,(
% 12.57/1.99 spl0_82),
% 12.57/1.99 inference(contradiction_clause,[status(thm)],[f5361])).
% 12.57/1.99 fof(f5369,plain,(
% 12.57/1.99 spl0_86 <=> related(sk0_411,sk0_412,sk0_413)),
% 12.57/1.99 introduced(split_symbol_definition)).
% 12.57/1.99 fof(f5370,plain,(
% 12.57/1.99 related(sk0_411,sk0_412,sk0_413)|~spl0_86),
% 12.57/1.99 inference(component_clause,[status(thm)],[f5369])).
% 12.57/1.99 fof(f5404,plain,(
% 12.57/2.01 spl0_93 <=> in(sk0_413,the_carrier(sk0_411))),
% 12.57/2.01 introduced(split_symbol_definition)).
% 12.57/2.01 fof(f5405,plain,(
% 12.57/2.01 in(sk0_413,the_carrier(sk0_411))|~spl0_93),
% 12.57/2.01 inference(component_clause,[status(thm)],[f5404])).
% 12.57/2.01 fof(f5436,plain,(
% 12.57/2.01 spl0_101 <=> in(sk0_412,the_carrier(sk0_411))),
% 12.57/2.01 introduced(split_symbol_definition)).
% 12.57/2.01 fof(f5479,plain,(
% 12.57/2.01 spl0_110 <=> ~full_subrelstr(X0,sk0_410)|~subrelstr(X0,sk0_410)|~element(sk0_413,the_carrier(X0))|~in(sk0_412,the_carrier(X0))|~in(sk0_413,the_carrier(X0))|related(X0,sk0_412,sk0_413)),
% 12.57/2.01 introduced(split_symbol_definition)).
% 12.57/2.01 fof(f5480,plain,(
% 12.57/2.01 ![X0]: (~full_subrelstr(X0,sk0_410)|~subrelstr(X0,sk0_410)|~element(sk0_413,the_carrier(X0))|~in(sk0_412,the_carrier(X0))|~in(sk0_413,the_carrier(X0))|related(X0,sk0_412,sk0_413)|~spl0_110)),
% 12.57/2.01 inference(component_clause,[status(thm)],[f5479])).
% 12.57/2.01 fof(f5482,plain,(
% 12.57/2.01 ![X0]: (~rel_str(sk0_410)|~full_subrelstr(X0,sk0_410)|~subrelstr(X0,sk0_410)|~element(sk0_412,the_carrier(sk0_410))|~element(sk0_413,the_carrier(sk0_410))|~element(sk0_413,the_carrier(X0))|~in(sk0_412,the_carrier(X0))|~in(sk0_413,the_carrier(X0))|related(X0,sk0_412,sk0_413))),
% 12.57/2.01 inference(resolution,[status(thm)],[f5017,f3679])).
% 12.57/2.01 fof(f5483,plain,(
% 12.57/2.01 ~spl0_55|spl0_110|~spl0_82|~spl0_78),
% 12.57/2.01 inference(split_clause,[status(thm)],[f5482,f5206,f5479,f5333,f5317])).
% 12.57/2.01 fof(f5486,plain,(
% 12.57/2.01 ![X0]: (~full_subrelstr(X0,sk0_410)|~subrelstr(X0,sk0_410)|~in(sk0_412,the_carrier(X0))|~in(sk0_413,the_carrier(X0))|related(X0,sk0_412,sk0_413)|~spl0_110)),
% 12.57/2.01 inference(forward_subsumption_resolution,[status(thm)],[f5480,f3620])).
% 12.57/2.01 fof(f5833,plain,(
% 12.57/2.01 spl0_167 <=> one_sorted_str(sk0_411)),
% 12.57/2.01 introduced(split_symbol_definition)).
% 12.57/2.01 fof(f5835,plain,(
% 12.57/2.01 ~one_sorted_str(sk0_411)|spl0_167),
% 12.57/2.01 inference(component_clause,[status(thm)],[f5833])).
% 12.57/2.01 fof(f5841,plain,(
% 12.57/2.01 $false|~spl0_60|spl0_167),
% 12.57/2.01 inference(forward_subsumption_resolution,[status(thm)],[f5835,f5237])).
% 12.57/2.01 fof(f5842,plain,(
% 12.57/2.01 ~spl0_60|spl0_167),
% 12.57/2.01 inference(contradiction_clause,[status(thm)],[f5841])).
% 12.57/2.01 fof(f7106,plain,(
% 12.57/2.01 empty(the_carrier(sk0_411))|in(sk0_413,the_carrier(sk0_411))),
% 12.57/2.01 inference(resolution,[status(thm)],[f1397,f5131])).
% 12.57/2.01 fof(f7107,plain,(
% 12.57/2.01 spl0_62|spl0_93),
% 12.57/2.01 inference(split_clause,[status(thm)],[f7106,f5241,f5404])).
% 12.57/2.01 fof(f7110,plain,(
% 12.57/2.01 empty(the_carrier(sk0_411))|in(sk0_412,the_carrier(sk0_411))),
% 12.57/2.01 inference(resolution,[status(thm)],[f1397,f5130])).
% 12.57/2.01 fof(f7111,plain,(
% 12.57/2.01 spl0_62|spl0_101),
% 12.57/2.01 inference(split_clause,[status(thm)],[f7110,f5241,f5436])).
% 12.57/2.01 fof(f7120,plain,(
% 12.57/2.01 ~one_sorted_str(sk0_411)|empty_carrier(sk0_411)|~spl0_62),
% 12.57/2.01 inference(resolution,[status(thm)],[f5242,f1282])).
% 12.57/2.01 fof(f7121,plain,(
% 12.57/2.01 ~spl0_167|spl0_61|~spl0_62),
% 12.57/2.01 inference(split_clause,[status(thm)],[f7120,f5833,f5238,f5241])).
% 12.57/2.01 fof(f7128,plain,(
% 12.57/2.01 $false|~spl0_61),
% 12.57/2.01 inference(forward_subsumption_resolution,[status(thm)],[f5239,f3670])).
% 12.57/2.01 fof(f7129,plain,(
% 12.57/2.01 ~spl0_61),
% 12.57/2.01 inference(contradiction_clause,[status(thm)],[f7128])).
% 12.57/2.01 fof(f7135,plain,(
% 12.57/2.01 ~full_subrelstr(sk0_411,sk0_410)|~subrelstr(sk0_411,sk0_410)|~in(sk0_412,the_carrier(sk0_411))|related(sk0_411,sk0_412,sk0_413)|~spl0_93|~spl0_110),
% 12.57/2.01 inference(resolution,[status(thm)],[f5405,f5486])).
% 12.57/2.01 fof(f7136,plain,(
% 12.57/2.01 ~spl0_66|~spl0_63|~spl0_101|spl0_86|~spl0_93|~spl0_110),
% 12.57/2.01 inference(split_clause,[status(thm)],[f7135,f5259,f5246,f5436,f5369,f5404,f5479])).
% 12.57/2.01 fof(f7140,plain,(
% 12.57/2.01 $false|~spl0_86),
% 12.57/2.01 inference(forward_subsumption_resolution,[status(thm)],[f5370,f4982])).
% 12.57/2.01 fof(f7141,plain,(
% 12.57/2.01 ~spl0_86),
% 12.57/2.01 inference(contradiction_clause,[status(thm)],[f7140])).
% 12.57/2.01 fof(f7142,plain,(
% 12.57/2.01 $false),
% 12.57/2.01 inference(sat_refutation,[status(thm)],[f5210,f5212,f5229,f5231,f5236,f5250,f5263,f5265,f5360,f5362,f5483,f5842,f7107,f7111,f7121,f7129,f7136,f7141])).
% 12.57/2.01 % SZS output end CNFRefutation for theBenchmark.p
% 12.57/2.05 % Elapsed time: 1.726567 seconds
% 12.57/2.05 % CPU time: 12.892982 seconds
% 12.57/2.05 % Total memory used: 244.287 MB
% 12.57/2.05 % Net memory used: 241.917 MB
%------------------------------------------------------------------------------