TSTP Solution File: SEU375+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : 300s
% DateTime : Wed May 31 12:36:51 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.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 09:17:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [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) ) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,axiom,(
% 0.13/0.36 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f13,axiom,(
% 0.13/0.36 (! [A] :( rel_str(A)=> (! [B] :( subrelstr(B,A)=> rel_str(B) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f23,axiom,(
% 0.13/0.36 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f34,axiom,(
% 0.13/0.36 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f35,conjecture,(
% 0.13/0.36 (! [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) ) ) )) )) )) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f36,negated_conjecture,(
% 0.13/0.36 ~((! [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) ) ) )) )) )) )) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f35])).
% 0.13/0.36 fof(f37,axiom,(
% 0.13/0.36 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f38,axiom,(
% 0.13/0.36 (! [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) ) ) )) )) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ![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))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 ![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)))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f56])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|~full_subnetstr(X2,X0,X1)|full_subrelstr(X2,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.36 fof(f59,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|~full_subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f63])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|rel_str(B))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|rel_str(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f65])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f87])).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 ![A,B]: (~in(A,B)|element(A,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.13/0.36 fof(f123,plain,(
% 0.13/0.36 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f122])).
% 0.13/0.36 fof(f124,plain,(
% 0.13/0.36 (?[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))))))))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 (one_sorted_str(sk0_15)&((~empty_carrier(sk0_16)&net_str(sk0_16,sk0_15))&(((~empty_carrier(sk0_17)&full_subnetstr(sk0_17,sk0_15,sk0_16))&subnetstr(sk0_17,sk0_15,sk0_16))&(element(sk0_18,the_carrier(sk0_16))&(element(sk0_19,the_carrier(sk0_16))&(element(sk0_20,the_carrier(sk0_17))&(element(sk0_21,the_carrier(sk0_17))&(((sk0_18=sk0_20&sk0_19=sk0_21)&related(sk0_16,sk0_18,sk0_19))&~related(sk0_17,sk0_20,sk0_21)))))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f124])).
% 0.13/0.36 fof(f126,plain,(
% 0.13/0.36 one_sorted_str(sk0_15)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 net_str(sk0_16,sk0_15)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f129,plain,(
% 0.13/0.36 ~empty_carrier(sk0_17)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f130,plain,(
% 0.13/0.36 full_subnetstr(sk0_17,sk0_15,sk0_16)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f131,plain,(
% 0.13/0.36 subnetstr(sk0_17,sk0_15,sk0_16)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 element(sk0_18,the_carrier(sk0_16))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 element(sk0_19,the_carrier(sk0_16))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f134,plain,(
% 0.13/0.36 element(sk0_20,the_carrier(sk0_17))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f135,plain,(
% 0.13/0.36 element(sk0_21,the_carrier(sk0_17))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f136,plain,(
% 0.13/0.36 sk0_18=sk0_20),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f137,plain,(
% 0.13/0.36 sk0_19=sk0_21),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f138,plain,(
% 0.13/0.36 related(sk0_16,sk0_18,sk0_19)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f139,plain,(
% 0.13/0.36 ~related(sk0_17,sk0_20,sk0_21)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.36 fof(f140,plain,(
% 0.13/0.36 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f141,plain,(
% 0.13/0.36 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f140])).
% 0.13/0.36 fof(f142,plain,(
% 0.13/0.36 ![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)))))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.13/0.36 fof(f143,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f142])).
% 0.13/0.36 fof(f152,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 0.13/0.36 fof(f153,plain,(
% 0.13/0.36 element(sk0_18,the_carrier(sk0_17))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f136,f134])).
% 0.13/0.36 fof(f154,plain,(
% 0.13/0.36 element(sk0_19,the_carrier(sk0_17))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f137,f135])).
% 0.13/0.36 fof(f155,plain,(
% 0.13/0.36 ~related(sk0_17,sk0_18,sk0_21)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f136,f139])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 ~related(sk0_17,sk0_18,sk0_19)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f137,f155])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 spl0_0 <=> one_sorted_str(sk0_15)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f159,plain,(
% 0.13/0.36 ~one_sorted_str(sk0_15)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.36 fof(f160,plain,(
% 0.13/0.36 spl0_1 <=> rel_str(sk0_16)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f163,plain,(
% 0.13/0.36 ~one_sorted_str(sk0_15)|rel_str(sk0_16)),
% 0.13/0.36 inference(resolution,[status(thm)],[f64,f128])).
% 0.13/0.36 fof(f164,plain,(
% 0.13/0.36 ~spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f163,f157,f160])).
% 0.13/0.36 fof(f165,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f159,f126])).
% 0.13/0.36 fof(f166,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f165])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 spl0_2 <=> net_str(sk0_16,sk0_15)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f169,plain,(
% 0.13/0.36 ~net_str(sk0_16,sk0_15)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.36 fof(f170,plain,(
% 0.13/0.36 spl0_3 <=> subnetstr(sk0_17,sk0_15,sk0_16)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f172,plain,(
% 0.13/0.36 ~subnetstr(sk0_17,sk0_15,sk0_16)|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.36 fof(f173,plain,(
% 0.13/0.36 spl0_4 <=> subrelstr(sk0_17,sk0_16)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f174,plain,(
% 0.13/0.36 subrelstr(sk0_17,sk0_16)|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f173])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ~one_sorted_str(sk0_15)|~net_str(sk0_16,sk0_15)|~subnetstr(sk0_17,sk0_15,sk0_16)|subrelstr(sk0_17,sk0_16)),
% 0.13/0.36 inference(resolution,[status(thm)],[f59,f130])).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 ~spl0_0|~spl0_2|~spl0_3|spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f176,f157,f167,f170,f173])).
% 0.13/0.36 fof(f178,plain,(
% 0.13/0.36 $false|spl0_3),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f172,f131])).
% 0.13/0.36 fof(f179,plain,(
% 0.13/0.36 spl0_3),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f178])).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 $false|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f169,f128])).
% 0.13/0.36 fof(f181,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f180])).
% 0.13/0.36 fof(f191,plain,(
% 0.13/0.36 spl0_6 <=> rel_str(sk0_17)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f192,plain,(
% 0.13/0.36 rel_str(sk0_17)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f191])).
% 0.13/0.36 fof(f261,plain,(
% 0.13/0.36 one_sorted_str(sk0_17)|~spl0_6),
% 0.13/0.36 inference(resolution,[status(thm)],[f62,f192])).
% 0.13/0.36 fof(f264,plain,(
% 0.13/0.36 spl0_21 <=> full_subrelstr(sk0_17,sk0_16)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f267,plain,(
% 0.13/0.36 ~one_sorted_str(sk0_15)|~net_str(sk0_16,sk0_15)|~subnetstr(sk0_17,sk0_15,sk0_16)|full_subrelstr(sk0_17,sk0_16)),
% 0.13/0.36 inference(resolution,[status(thm)],[f58,f130])).
% 0.13/0.36 fof(f268,plain,(
% 0.13/0.36 ~spl0_0|~spl0_2|~spl0_3|spl0_21),
% 0.13/0.36 inference(split_clause,[status(thm)],[f267,f157,f167,f170,f264])).
% 0.13/0.36 fof(f288,plain,(
% 0.13/0.36 ~rel_str(sk0_16)|rel_str(sk0_17)|~spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f66,f174])).
% 0.13/0.36 fof(f289,plain,(
% 0.13/0.36 ~spl0_1|spl0_6|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f288,f160,f191,f173])).
% 0.13/0.36 fof(f298,plain,(
% 0.13/0.36 spl0_23 <=> empty(the_carrier(sk0_17))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f299,plain,(
% 0.13/0.36 empty(the_carrier(sk0_17))|~spl0_23),
% 0.13/0.36 inference(component_clause,[status(thm)],[f298])).
% 0.13/0.36 fof(f301,plain,(
% 0.13/0.36 spl0_24 <=> in(sk0_19,the_carrier(sk0_17))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f302,plain,(
% 0.13/0.36 in(sk0_19,the_carrier(sk0_17))|~spl0_24),
% 0.13/0.36 inference(component_clause,[status(thm)],[f301])).
% 0.13/0.36 fof(f304,plain,(
% 0.13/0.36 empty(the_carrier(sk0_17))|in(sk0_19,the_carrier(sk0_17))),
% 0.13/0.36 inference(resolution,[status(thm)],[f141,f154])).
% 0.13/0.36 fof(f305,plain,(
% 0.13/0.36 spl0_23|spl0_24),
% 0.13/0.36 inference(split_clause,[status(thm)],[f304,f298,f301])).
% 0.13/0.36 fof(f314,plain,(
% 0.13/0.36 spl0_27 <=> in(sk0_18,the_carrier(sk0_17))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f317,plain,(
% 0.13/0.36 empty(the_carrier(sk0_17))|in(sk0_18,the_carrier(sk0_17))),
% 0.13/0.36 inference(resolution,[status(thm)],[f141,f153])).
% 0.13/0.36 fof(f318,plain,(
% 0.13/0.36 spl0_23|spl0_27),
% 0.13/0.36 inference(split_clause,[status(thm)],[f317,f298,f314])).
% 0.13/0.36 fof(f327,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f152,f123])).
% 0.13/0.36 fof(f403,plain,(
% 0.13/0.36 spl0_45 <=> ~full_subrelstr(X0,sk0_16)|~subrelstr(X0,sk0_16)|~element(sk0_19,the_carrier(X0))|~in(sk0_18,the_carrier(X0))|~in(sk0_19,the_carrier(X0))|related(X0,sk0_18,sk0_19)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f404,plain,(
% 0.13/0.36 ![X0]: (~full_subrelstr(X0,sk0_16)|~subrelstr(X0,sk0_16)|~element(sk0_19,the_carrier(X0))|~in(sk0_18,the_carrier(X0))|~in(sk0_19,the_carrier(X0))|related(X0,sk0_18,sk0_19)|~spl0_45)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f403])).
% 0.13/0.36 fof(f406,plain,(
% 0.13/0.36 spl0_46 <=> element(sk0_18,the_carrier(sk0_16))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f408,plain,(
% 0.13/0.36 ~element(sk0_18,the_carrier(sk0_16))|spl0_46),
% 0.13/0.36 inference(component_clause,[status(thm)],[f406])).
% 0.13/0.36 fof(f409,plain,(
% 0.13/0.36 spl0_47 <=> element(sk0_19,the_carrier(sk0_16))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f411,plain,(
% 0.13/0.36 ~element(sk0_19,the_carrier(sk0_16))|spl0_47),
% 0.13/0.36 inference(component_clause,[status(thm)],[f409])).
% 0.13/0.36 fof(f412,plain,(
% 0.13/0.36 ![X0]: (~rel_str(sk0_16)|~full_subrelstr(X0,sk0_16)|~subrelstr(X0,sk0_16)|~element(sk0_18,the_carrier(sk0_16))|~element(sk0_19,the_carrier(sk0_16))|~element(sk0_19,the_carrier(X0))|~in(sk0_18,the_carrier(X0))|~in(sk0_19,the_carrier(X0))|related(X0,sk0_18,sk0_19))),
% 0.13/0.36 inference(resolution,[status(thm)],[f327,f138])).
% 0.13/0.36 fof(f413,plain,(
% 0.13/0.36 ~spl0_1|spl0_45|~spl0_46|~spl0_47),
% 0.13/0.36 inference(split_clause,[status(thm)],[f412,f160,f403,f406,f409])).
% 0.13/0.36 fof(f414,plain,(
% 0.13/0.36 $false|spl0_47),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f411,f133])).
% 0.13/0.36 fof(f415,plain,(
% 0.13/0.36 spl0_47),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f414])).
% 0.13/0.36 fof(f420,plain,(
% 0.13/0.36 $false|spl0_46),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f408,f132])).
% 0.13/0.36 fof(f421,plain,(
% 0.13/0.36 spl0_46),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f420])).
% 0.13/0.36 fof(f422,plain,(
% 0.13/0.36 ![X0]: (~full_subrelstr(X0,sk0_16)|~subrelstr(X0,sk0_16)|~in(sk0_18,the_carrier(X0))|~in(sk0_19,the_carrier(X0))|related(X0,sk0_18,sk0_19)|~spl0_45)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f404,f123])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 spl0_49 <=> related(sk0_17,sk0_18,sk0_19)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f439,plain,(
% 0.13/0.36 related(sk0_17,sk0_18,sk0_19)|~spl0_49),
% 0.13/0.36 inference(component_clause,[status(thm)],[f438])).
% 0.13/0.36 fof(f441,plain,(
% 0.13/0.36 ~full_subrelstr(sk0_17,sk0_16)|~subrelstr(sk0_17,sk0_16)|~in(sk0_18,the_carrier(sk0_17))|related(sk0_17,sk0_18,sk0_19)|~spl0_45|~spl0_24),
% 0.13/0.36 inference(resolution,[status(thm)],[f422,f302])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 ~spl0_21|~spl0_4|~spl0_27|spl0_49|~spl0_45|~spl0_24),
% 0.13/0.36 inference(split_clause,[status(thm)],[f441,f264,f173,f314,f438,f403,f301])).
% 0.13/0.36 fof(f450,plain,(
% 0.13/0.36 spl0_51 <=> empty_carrier(sk0_17)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f451,plain,(
% 0.13/0.36 empty_carrier(sk0_17)|~spl0_51),
% 0.13/0.36 inference(component_clause,[status(thm)],[f450])).
% 0.13/0.36 fof(f453,plain,(
% 0.13/0.36 spl0_52 <=> one_sorted_str(sk0_17)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 ~one_sorted_str(sk0_17)|spl0_52),
% 0.13/0.36 inference(component_clause,[status(thm)],[f453])).
% 0.13/0.36 fof(f456,plain,(
% 0.13/0.36 empty_carrier(sk0_17)|~one_sorted_str(sk0_17)|~spl0_23),
% 0.13/0.36 inference(resolution,[status(thm)],[f299,f88])).
% 0.13/0.36 fof(f457,plain,(
% 0.13/0.36 spl0_51|~spl0_52|~spl0_23),
% 0.13/0.36 inference(split_clause,[status(thm)],[f456,f450,f453,f298])).
% 0.13/0.36 fof(f462,plain,(
% 0.13/0.36 $false|~spl0_6|spl0_52),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f455,f261])).
% 0.20/0.37 fof(f463,plain,(
% 0.20/0.37 ~spl0_6|spl0_52),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f462])).
% 0.20/0.37 fof(f464,plain,(
% 0.20/0.37 $false|~spl0_49),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f439,f156])).
% 0.20/0.37 fof(f465,plain,(
% 0.20/0.37 ~spl0_49),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f464])).
% 0.20/0.37 fof(f466,plain,(
% 0.20/0.37 $false|~spl0_51),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f451,f129])).
% 0.20/0.37 fof(f467,plain,(
% 0.20/0.37 ~spl0_51),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f466])).
% 0.20/0.37 fof(f468,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(sat_refutation,[status(thm)],[f164,f166,f177,f179,f181,f268,f289,f305,f318,f413,f415,f421,f442,f457,f463,f465,f467])).
% 0.20/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.025701 seconds
% 0.20/0.37 % CPU time: 0.051017 seconds
% 0.20/0.37 % Memory used: 15.053 MB
%------------------------------------------------------------------------------