TSTP Solution File: SEU375+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n029.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 12:36:52 EDT 2023
% Result : Theorem 14.26s 2.54s
% Output : CNFRefutation 14.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:28:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.44 % Drodi V3.5.1
% 14.26/2.54 % Refutation found
% 14.26/2.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.26/2.54 % SZS output start CNFRefutation for theBenchmark
% 14.26/2.54 fof(f105,axiom,(
% 14.26/2.54 (! [A] :( one_sorted_str(A)=> ( empty_carrier(A)<=> empty(the_carrier(A)) ) ) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f124,axiom,(
% 14.26/2.54 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f181,axiom,(
% 14.26/2.54 (! [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)) ) ) ) )) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f187,axiom,(
% 14.26/2.54 (! [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) ) ) ) )) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f269,axiom,(
% 14.26/2.54 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f272,axiom,(
% 14.26/2.54 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f278,axiom,(
% 14.26/2.54 (! [A] :( rel_str(A)=> (! [B] :( subrelstr(B,A)=> rel_str(B) ) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f279,axiom,(
% 14.26/2.54 (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> (! [C] :( subnetstr(C,A,B)=> net_str(C,A) ) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f601,axiom,(
% 14.26/2.54 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f614,conjecture,(
% 14.26/2.54 (! [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) ) ) )) )) )) )) )) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f615,negated_conjecture,(
% 14.26/2.54 ~((! [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) ) ) )) )) )) )) )) )) ))),
% 14.26/2.54 inference(negated_conjecture,[status(cth)],[f614])).
% 14.26/2.54 fof(f729,lemma,(
% 14.26/2.54 (! [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) ) ) )) )) )) )) )) )),
% 14.26/2.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.26/2.54 fof(f1279,plain,(
% 14.26/2.54 ![A]: (~one_sorted_str(A)|(empty_carrier(A)<=>empty(the_carrier(A))))),
% 14.26/2.54 inference(pre_NNF_transformation,[status(esa)],[f105])).
% 14.26/2.54 fof(f1280,plain,(
% 14.26/2.54 ![A]: (~one_sorted_str(A)|((~empty_carrier(A)|empty(the_carrier(A)))&(empty_carrier(A)|~empty(the_carrier(A)))))),
% 14.26/2.54 inference(NNF_transformation,[status(esa)],[f1279])).
% 14.26/2.54 fof(f1282,plain,(
% 14.26/2.54 ![X0]: (~one_sorted_str(X0)|empty_carrier(X0)|~empty(the_carrier(X0)))),
% 14.26/2.54 inference(cnf_transformation,[status(esa)],[f1280])).
% 14.26/2.54 fof(f1394,plain,(
% 14.26/2.54 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 14.26/2.54 inference(pre_NNF_transformation,[status(esa)],[f124])).
% 14.26/2.54 fof(f1395,plain,(
% 14.26/2.54 ![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)))))),
% 14.26/2.54 inference(NNF_transformation,[status(esa)],[f1394])).
% 14.26/2.54 fof(f1396,plain,(
% 14.26/2.54 (![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))))))),
% 14.26/2.55 inference(miniscoping,[status(esa)],[f1395])).
% 14.26/2.55 fof(f1397,plain,(
% 14.26/2.55 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1396])).
% 14.26/2.55 fof(f1792,plain,(
% 14.26/2.55 ![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)))))))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f181])).
% 14.26/2.55 fof(f1793,plain,(
% 14.26/2.55 ![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))))))))))),
% 14.26/2.55 inference(NNF_transformation,[status(esa)],[f1792])).
% 14.26/2.55 fof(f1794,plain,(
% 14.26/2.55 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~net_str(X2,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1793])).
% 14.26/2.55 fof(f1824,plain,(
% 14.26/2.55 ![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))))))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f187])).
% 14.26/2.55 fof(f1825,plain,(
% 14.26/2.55 ![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)))))))))),
% 14.26/2.55 inference(NNF_transformation,[status(esa)],[f1824])).
% 14.26/2.55 fof(f1826,plain,(
% 14.26/2.55 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|~full_subnetstr(X2,X0,X1)|full_subrelstr(X2,X1))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1825])).
% 14.26/2.55 fof(f1970,plain,(
% 14.26/2.55 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f269])).
% 14.26/2.55 fof(f1971,plain,(
% 14.26/2.55 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1970])).
% 14.26/2.55 fof(f1974,plain,(
% 14.26/2.55 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f272])).
% 14.26/2.55 fof(f1975,plain,(
% 14.26/2.55 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1974])).
% 14.26/2.55 fof(f1983,plain,(
% 14.26/2.55 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|rel_str(B))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f278])).
% 14.26/2.55 fof(f1984,plain,(
% 14.26/2.55 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|rel_str(X1))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1983])).
% 14.26/2.55 fof(f1985,plain,(
% 14.26/2.55 ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|(![C]: (~subnetstr(C,A,B)|net_str(C,A))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f279])).
% 14.26/2.55 fof(f1986,plain,(
% 14.26/2.55 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|net_str(X2,X0))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f1985])).
% 14.26/2.55 fof(f3619,plain,(
% 14.26/2.55 ![A,B]: (~in(A,B)|element(A,B))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f601])).
% 14.26/2.55 fof(f3620,plain,(
% 14.26/2.55 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3619])).
% 14.26/2.55 fof(f3665,plain,(
% 14.26/2.55 (?[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))))))))))))))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f615])).
% 14.26/2.55 fof(f3666,plain,(
% 14.26/2.55 (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)))))))))),
% 14.26/2.55 inference(skolemization,[status(esa)],[f3665])).
% 14.26/2.55 fof(f3667,plain,(
% 14.26/2.55 one_sorted_str(sk0_409)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3669,plain,(
% 14.26/2.55 net_str(sk0_410,sk0_409)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3670,plain,(
% 14.26/2.55 ~empty_carrier(sk0_411)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3671,plain,(
% 14.26/2.55 full_subnetstr(sk0_411,sk0_409,sk0_410)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3672,plain,(
% 14.26/2.55 subnetstr(sk0_411,sk0_409,sk0_410)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3673,plain,(
% 14.26/2.55 element(sk0_412,the_carrier(sk0_410))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3674,plain,(
% 14.26/2.55 element(sk0_413,the_carrier(sk0_410))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3675,plain,(
% 14.26/2.55 element(sk0_414,the_carrier(sk0_411))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3676,plain,(
% 14.26/2.55 element(sk0_415,the_carrier(sk0_411))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3677,plain,(
% 14.26/2.55 sk0_412=sk0_414),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3678,plain,(
% 14.26/2.55 sk0_413=sk0_415),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3679,plain,(
% 14.26/2.55 related(sk0_410,sk0_412,sk0_413)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f3680,plain,(
% 14.26/2.55 ~related(sk0_411,sk0_414,sk0_415)),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f3666])).
% 14.26/2.55 fof(f4067,plain,(
% 14.26/2.55 ![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)))))))))))))),
% 14.26/2.55 inference(pre_NNF_transformation,[status(esa)],[f729])).
% 14.26/2.55 fof(f4068,plain,(
% 14.26/2.55 ![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))),
% 14.26/2.55 inference(cnf_transformation,[status(esa)],[f4067])).
% 14.26/2.55 fof(f4981,plain,(
% 14.26/2.55 ~related(sk0_411,sk0_412,sk0_415)),
% 14.26/2.55 inference(forward_demodulation,[status(thm)],[f3677,f3680])).
% 14.26/2.55 fof(f4982,plain,(
% 14.26/2.55 ~related(sk0_411,sk0_412,sk0_413)),
% 14.26/2.55 inference(forward_demodulation,[status(thm)],[f3678,f4981])).
% 14.26/2.55 fof(f5016,plain,(
% 14.26/2.55 ![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))),
% 14.26/2.55 inference(destructive_equality_resolution,[status(esa)],[f4068])).
% 14.26/2.55 fof(f5017,plain,(
% 14.26/2.55 ![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))),
% 14.26/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5016,f3620])).
% 14.26/2.55 fof(f5119,plain,(
% 14.26/2.55 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 14.26/2.55 inference(backward_subsumption_resolution,[status(thm)],[f1794,f1986])).
% 14.26/2.55 fof(f5130,plain,(
% 14.26/2.55 element(sk0_412,the_carrier(sk0_411))),
% 14.26/2.55 inference(backward_demodulation,[status(thm)],[f3677,f3675])).
% 14.26/2.55 fof(f5131,plain,(
% 14.26/2.55 element(sk0_413,the_carrier(sk0_411))),
% 14.26/2.55 inference(backward_demodulation,[status(thm)],[f3678,f3676])).
% 14.26/2.55 fof(f5195,plain,(
% 14.26/2.55 spl0_52 <=> one_sorted_str(sk0_409)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5197,plain,(
% 14.26/2.55 ~one_sorted_str(sk0_409)|spl0_52),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5195])).
% 14.26/2.55 fof(f5198,plain,(
% 14.26/2.55 spl0_53 <=> rel_str(sk0_410)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5201,plain,(
% 14.26/2.55 ~one_sorted_str(sk0_409)|rel_str(sk0_410)),
% 14.26/2.55 inference(resolution,[status(thm)],[f1975,f3669])).
% 14.26/2.55 fof(f5202,plain,(
% 14.26/2.55 ~spl0_52|spl0_53),
% 14.26/2.55 inference(split_clause,[status(thm)],[f5201,f5195,f5198])).
% 14.26/2.55 fof(f5203,plain,(
% 14.26/2.55 $false|spl0_52),
% 14.26/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5197,f3667])).
% 14.26/2.55 fof(f5204,plain,(
% 14.26/2.55 spl0_52),
% 14.26/2.55 inference(contradiction_clause,[status(thm)],[f5203])).
% 14.26/2.55 fof(f5306,plain,(
% 14.26/2.55 spl0_68 <=> net_str(sk0_410,sk0_409)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5308,plain,(
% 14.26/2.55 ~net_str(sk0_410,sk0_409)|spl0_68),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5306])).
% 14.26/2.55 fof(f5309,plain,(
% 14.26/2.55 spl0_69 <=> subnetstr(sk0_411,sk0_409,sk0_410)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5311,plain,(
% 14.26/2.55 ~subnetstr(sk0_411,sk0_409,sk0_410)|spl0_69),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5309])).
% 14.26/2.55 fof(f5312,plain,(
% 14.26/2.55 spl0_70 <=> full_subrelstr(sk0_411,sk0_410)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5313,plain,(
% 14.26/2.55 full_subrelstr(sk0_411,sk0_410)|~spl0_70),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5312])).
% 14.26/2.55 fof(f5315,plain,(
% 14.26/2.55 ~one_sorted_str(sk0_409)|~net_str(sk0_410,sk0_409)|~subnetstr(sk0_411,sk0_409,sk0_410)|full_subrelstr(sk0_411,sk0_410)),
% 14.26/2.55 inference(resolution,[status(thm)],[f3671,f1826])).
% 14.26/2.55 fof(f5316,plain,(
% 14.26/2.55 ~spl0_52|~spl0_68|~spl0_69|spl0_70),
% 14.26/2.55 inference(split_clause,[status(thm)],[f5315,f5195,f5306,f5309,f5312])).
% 14.26/2.55 fof(f5317,plain,(
% 14.26/2.55 $false|spl0_69),
% 14.26/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5311,f3672])).
% 14.26/2.55 fof(f5318,plain,(
% 14.26/2.55 spl0_69),
% 14.26/2.55 inference(contradiction_clause,[status(thm)],[f5317])).
% 14.26/2.55 fof(f5319,plain,(
% 14.26/2.55 $false|spl0_68),
% 14.26/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5308,f3669])).
% 14.26/2.55 fof(f5320,plain,(
% 14.26/2.55 spl0_68),
% 14.26/2.55 inference(contradiction_clause,[status(thm)],[f5319])).
% 14.26/2.55 fof(f5321,plain,(
% 14.26/2.55 spl0_71 <=> subrelstr(sk0_411,sk0_410)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5322,plain,(
% 14.26/2.55 subrelstr(sk0_411,sk0_410)|~spl0_71),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5321])).
% 14.26/2.55 fof(f5324,plain,(
% 14.26/2.55 ~one_sorted_str(sk0_409)|~net_str(sk0_410,sk0_409)|subrelstr(sk0_411,sk0_410)),
% 14.26/2.55 inference(resolution,[status(thm)],[f3672,f5119])).
% 14.26/2.55 fof(f5325,plain,(
% 14.26/2.55 ~spl0_52|~spl0_68|spl0_71),
% 14.26/2.55 inference(split_clause,[status(thm)],[f5324,f5195,f5306,f5321])).
% 14.26/2.55 fof(f5486,plain,(
% 14.26/2.55 spl0_100 <=> rel_str(sk0_411)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5487,plain,(
% 14.26/2.55 rel_str(sk0_411)|~spl0_100),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5486])).
% 14.26/2.55 fof(f5633,plain,(
% 14.26/2.55 one_sorted_str(sk0_411)|~spl0_100),
% 14.26/2.55 inference(resolution,[status(thm)],[f5487,f1971])).
% 14.26/2.55 fof(f5634,plain,(
% 14.26/2.55 spl0_118 <=> empty_carrier(sk0_411)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5635,plain,(
% 14.26/2.55 empty_carrier(sk0_411)|~spl0_118),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5634])).
% 14.26/2.55 fof(f5637,plain,(
% 14.26/2.55 spl0_119 <=> empty(the_carrier(sk0_411))),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5638,plain,(
% 14.26/2.55 empty(the_carrier(sk0_411))|~spl0_119),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5637])).
% 14.26/2.55 fof(f5642,plain,(
% 14.26/2.55 spl0_120 <=> ~element(X0,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_411))|~related(sk0_410,X0,X1)|~in(X0,the_carrier(sk0_411))|~in(X1,the_carrier(sk0_411))|related(sk0_411,X0,X1)),
% 14.26/2.55 introduced(split_symbol_definition)).
% 14.26/2.55 fof(f5643,plain,(
% 14.26/2.55 ![X0,X1]: (~element(X0,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_411))|~related(sk0_410,X0,X1)|~in(X0,the_carrier(sk0_411))|~in(X1,the_carrier(sk0_411))|related(sk0_411,X0,X1)|~spl0_120)),
% 14.26/2.55 inference(component_clause,[status(thm)],[f5642])).
% 14.26/2.55 fof(f5645,plain,(
% 14.26/2.55 ![X0,X1]: (~rel_str(sk0_410)|~subrelstr(sk0_411,sk0_410)|~element(X0,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_411))|~related(sk0_410,X0,X1)|~in(X0,the_carrier(sk0_411))|~in(X1,the_carrier(sk0_411))|related(sk0_411,X0,X1)|~spl0_70)),
% 14.26/2.55 inference(resolution,[status(thm)],[f5313,f5017])).
% 14.26/2.55 fof(f5646,plain,(
% 14.26/2.55 ~spl0_53|~spl0_71|spl0_120|~spl0_70),
% 14.26/2.55 inference(split_clause,[status(thm)],[f5645,f5198,f5321,f5642,f5312])).
% 14.26/2.55 fof(f5647,plain,(
% 14.26/2.55 ![X0,X1]: (~element(X0,the_carrier(sk0_410))|~element(X1,the_carrier(sk0_410))|~related(sk0_410,X0,X1)|~in(X0,the_carrier(sk0_411))|~in(X1,the_carrier(sk0_411))|related(sk0_411,X0,X1)|~spl0_120)),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f5643,f3620])).
% 14.26/2.57 fof(f5907,plain,(
% 14.26/2.57 spl0_148 <=> element(sk0_413,the_carrier(sk0_410))),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f5909,plain,(
% 14.26/2.57 ~element(sk0_413,the_carrier(sk0_410))|spl0_148),
% 14.26/2.57 inference(component_clause,[status(thm)],[f5907])).
% 14.26/2.57 fof(f5916,plain,(
% 14.26/2.57 spl0_151 <=> related(sk0_411,sk0_412,sk0_413)),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f5917,plain,(
% 14.26/2.57 related(sk0_411,sk0_412,sk0_413)|~spl0_151),
% 14.26/2.57 inference(component_clause,[status(thm)],[f5916])).
% 14.26/2.57 fof(f5921,plain,(
% 14.26/2.57 $false|spl0_148),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f5909,f3674])).
% 14.26/2.57 fof(f5922,plain,(
% 14.26/2.57 spl0_148),
% 14.26/2.57 inference(contradiction_clause,[status(thm)],[f5921])).
% 14.26/2.57 fof(f5923,plain,(
% 14.26/2.57 $false|~spl0_151),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f5917,f4982])).
% 14.26/2.57 fof(f5924,plain,(
% 14.26/2.57 ~spl0_151),
% 14.26/2.57 inference(contradiction_clause,[status(thm)],[f5923])).
% 14.26/2.57 fof(f5925,plain,(
% 14.26/2.57 spl0_152 <=> one_sorted_str(sk0_411)),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f5927,plain,(
% 14.26/2.57 ~one_sorted_str(sk0_411)|spl0_152),
% 14.26/2.57 inference(component_clause,[status(thm)],[f5925])).
% 14.26/2.57 fof(f5930,plain,(
% 14.26/2.57 $false|~spl0_100|spl0_152),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f5927,f5633])).
% 14.26/2.57 fof(f5931,plain,(
% 14.26/2.57 ~spl0_100|spl0_152),
% 14.26/2.57 inference(contradiction_clause,[status(thm)],[f5930])).
% 14.26/2.57 fof(f6066,plain,(
% 14.26/2.57 ~rel_str(sk0_410)|rel_str(sk0_411)|~spl0_71),
% 14.26/2.57 inference(resolution,[status(thm)],[f1984,f5322])).
% 14.26/2.57 fof(f6067,plain,(
% 14.26/2.57 ~spl0_53|spl0_100|~spl0_71),
% 14.26/2.57 inference(split_clause,[status(thm)],[f6066,f5198,f5486,f5321])).
% 14.26/2.57 fof(f6737,plain,(
% 14.26/2.57 spl0_235 <=> in(sk0_413,the_carrier(sk0_411))),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f6740,plain,(
% 14.26/2.57 empty(the_carrier(sk0_411))|in(sk0_413,the_carrier(sk0_411))),
% 14.26/2.57 inference(resolution,[status(thm)],[f5131,f1397])).
% 14.26/2.57 fof(f6741,plain,(
% 14.26/2.57 spl0_119|spl0_235),
% 14.26/2.57 inference(split_clause,[status(thm)],[f6740,f5637,f6737])).
% 14.26/2.57 fof(f6780,plain,(
% 14.26/2.57 spl0_238 <=> in(sk0_412,the_carrier(sk0_411))),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f6783,plain,(
% 14.26/2.57 empty(the_carrier(sk0_411))|in(sk0_412,the_carrier(sk0_411))),
% 14.26/2.57 inference(resolution,[status(thm)],[f5130,f1397])).
% 14.26/2.57 fof(f6784,plain,(
% 14.26/2.57 spl0_119|spl0_238),
% 14.26/2.57 inference(split_clause,[status(thm)],[f6783,f5637,f6780])).
% 14.26/2.57 fof(f7124,plain,(
% 14.26/2.57 ~one_sorted_str(sk0_411)|empty_carrier(sk0_411)|~spl0_119),
% 14.26/2.57 inference(resolution,[status(thm)],[f5638,f1282])).
% 14.26/2.57 fof(f7125,plain,(
% 14.26/2.57 ~spl0_152|spl0_118|~spl0_119),
% 14.26/2.57 inference(split_clause,[status(thm)],[f7124,f5925,f5634,f5637])).
% 14.26/2.57 fof(f7469,plain,(
% 14.26/2.57 $false|~spl0_118),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f5635,f3670])).
% 14.26/2.57 fof(f7470,plain,(
% 14.26/2.57 ~spl0_118),
% 14.26/2.57 inference(contradiction_clause,[status(thm)],[f7469])).
% 14.26/2.57 fof(f8802,plain,(
% 14.26/2.57 spl0_335 <=> element(sk0_412,the_carrier(sk0_410))),
% 14.26/2.57 introduced(split_symbol_definition)).
% 14.26/2.57 fof(f8804,plain,(
% 14.26/2.57 ~element(sk0_412,the_carrier(sk0_410))|spl0_335),
% 14.26/2.57 inference(component_clause,[status(thm)],[f8802])).
% 14.26/2.57 fof(f8805,plain,(
% 14.26/2.57 ~element(sk0_412,the_carrier(sk0_410))|~element(sk0_413,the_carrier(sk0_410))|~in(sk0_412,the_carrier(sk0_411))|~in(sk0_413,the_carrier(sk0_411))|related(sk0_411,sk0_412,sk0_413)|~spl0_120),
% 14.26/2.57 inference(resolution,[status(thm)],[f5647,f3679])).
% 14.26/2.57 fof(f8806,plain,(
% 14.26/2.57 ~spl0_335|~spl0_148|~spl0_238|~spl0_235|spl0_151|~spl0_120),
% 14.26/2.57 inference(split_clause,[status(thm)],[f8805,f8802,f5907,f6780,f6737,f5916,f5642])).
% 14.26/2.57 fof(f8807,plain,(
% 14.26/2.57 $false|spl0_335),
% 14.26/2.57 inference(forward_subsumption_resolution,[status(thm)],[f8804,f3673])).
% 14.26/2.57 fof(f8808,plain,(
% 14.26/2.57 spl0_335),
% 14.26/2.57 inference(contradiction_clause,[status(thm)],[f8807])).
% 14.26/2.57 fof(f8809,plain,(
% 14.26/2.57 $false),
% 14.26/2.57 inference(sat_refutation,[status(thm)],[f5202,f5204,f5316,f5318,f5320,f5325,f5646,f5922,f5924,f5931,f6067,f6741,f6784,f7125,f7470,f8806,f8808])).
% 14.26/2.57 % SZS output end CNFRefutation for theBenchmark.p
% 14.26/2.60 % Elapsed time: 2.245177 seconds
% 14.26/2.60 % CPU time: 14.668531 seconds
% 14.26/2.60 % Memory used: 223.093 MB
%------------------------------------------------------------------------------