TSTP Solution File: SEU359+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:42:04 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 19:39:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 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(f1,axiom,(
% 0.13/0.36 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( ex_sup_of_relstr_set(A,B)=> ( C = join_on_relstr(A,B)<=> ( relstr_set_smaller(A,B,C)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,B,D)=> related(A,C,D) ) ) )) ) ) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [A,B] :( rel_str(A)=> element(join_on_relstr(A,B),the_carrier(A)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,axiom,(
% 0.13/0.36 (! [A] :( ( antisymmetric_relstr(A)& rel_str(A) )=> (! [B] :( ex_sup_of_relstr_set(A,B)<=> (? [C] :( element(C,the_carrier(A))& relstr_set_smaller(A,B,C)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,B,D)=> related(A,C,D) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,conjecture,(
% 0.13/0.36 (! [A] :( ( antisymmetric_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( ( ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) )=> ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) )) )& ( ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) ))=> ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) ) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,negated_conjecture,(
% 0.13/0.36 ~((! [A] :( ( antisymmetric_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( ( ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) )=> ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) )) )& ( ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) ))=> ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) ) ) ) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f11])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(~ex_sup_of_relstr_set(A,B)|(C=join_on_relstr(A,B)<=>(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D)))))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|(![B]: (~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D))))))))))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|(![B]: (~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(element(sk0_0(B,C,A),the_carrier(A))&(relstr_set_smaller(A,B,sk0_0(B,C,A))&~related(A,C,sk0_0(B,C,A))))))))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f15])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~ex_sup_of_relstr_set(X0,X2)|~X1=join_on_relstr(X0,X2)|relstr_set_smaller(X0,X2,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~ex_sup_of_relstr_set(X0,X2)|X1=join_on_relstr(X0,X2)|~relstr_set_smaller(X0,X2,X1)|element(sk0_0(X2,X1,X0),the_carrier(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~ex_sup_of_relstr_set(X0,X2)|X1=join_on_relstr(X0,X2)|~relstr_set_smaller(X0,X2,X1)|relstr_set_smaller(X0,X2,sk0_0(X2,X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~ex_sup_of_relstr_set(X0,X2)|X1=join_on_relstr(X0,X2)|~relstr_set_smaller(X0,X2,X1)|~related(X0,X1,sk0_0(X2,X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![A,B]: (~rel_str(A)|element(join_on_relstr(A,B),the_carrier(A)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![A]: (~rel_str(A)|(![B]: element(join_on_relstr(A,B),the_carrier(A))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f22])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X0,X1]: (~rel_str(X0)|element(join_on_relstr(X0,X1),the_carrier(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: (ex_sup_of_relstr_set(A,B)<=>(?[C]: ((element(C,the_carrier(A))&relstr_set_smaller(A,B,C))&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D)))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: ((~ex_sup_of_relstr_set(A,B)|(?[C]: ((element(C,the_carrier(A))&relstr_set_smaller(A,B,C))&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D)))))))&(ex_sup_of_relstr_set(A,B)|(![C]: ((~element(C,the_carrier(A))|~relstr_set_smaller(A,B,C))|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D))))))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f33])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|((![B]: (~ex_sup_of_relstr_set(A,B)|(?[C]: ((element(C,the_carrier(A))&relstr_set_smaller(A,B,C))&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))))&(![B]: (ex_sup_of_relstr_set(A,B)|(![C]: ((~element(C,the_carrier(A))|~relstr_set_smaller(A,B,C))|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D))))))))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f34])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|((![B]: (~ex_sup_of_relstr_set(A,B)|((element(sk0_4(B,A),the_carrier(A))&relstr_set_smaller(A,B,sk0_4(B,A)))&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,sk0_4(B,A),D)))))))&(![B]: (ex_sup_of_relstr_set(A,B)|(![C]: ((~element(C,the_carrier(A))|~relstr_set_smaller(A,B,C))|(element(sk0_5(C,B,A),the_carrier(A))&(relstr_set_smaller(A,B,sk0_5(C,B,A))&~related(A,C,sk0_5(C,B,A))))))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f35])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ![X0,X1]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~ex_sup_of_relstr_set(X0,X1)|element(sk0_4(X1,X0),the_carrier(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ![X0,X1]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~ex_sup_of_relstr_set(X0,X1)|relstr_set_smaller(X0,X1,sk0_4(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|related(X0,sk0_4(X1,X0),X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|element(sk0_5(X2,X1,X0),the_carrier(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|relstr_set_smaller(X0,X1,sk0_5(X2,X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|~related(X0,X2,sk0_5(X2,X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 (?[A]: ((antisymmetric_relstr(A)&rel_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (((B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))&(~relstr_set_smaller(A,C,B)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,C,D)&~related(A,B,D))))))|((relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D)))))&(~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C)))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 ![A,B,C]: (pd0_0(C,B,A)=>((B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))&(~relstr_set_smaller(A,C,B)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,C,D)&~related(A,B,D)))))))),
% 0.13/0.37 introduced(predicate_definition,[f43])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ?[A]: ((antisymmetric_relstr(A)&rel_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (pd0_0(C,B,A)|((relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D)))))&(~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))))))))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f43,f44])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ?[A]: ((antisymmetric_relstr(A)&rel_str(A))&(?[B]: (element(B,the_carrier(A))&((?[C]: pd0_0(C,B,A))|(?[C]: ((relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D)))))&(~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))))))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f45])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 ((antisymmetric_relstr(sk0_6)&rel_str(sk0_6))&(element(sk0_7,the_carrier(sk0_6))&(pd0_0(sk0_8,sk0_7,sk0_6)|((relstr_set_smaller(sk0_6,sk0_9,sk0_7)&(![D]: (~element(D,the_carrier(sk0_6))|(~relstr_set_smaller(sk0_6,sk0_9,D)|related(sk0_6,sk0_7,D)))))&(~sk0_7=join_on_relstr(sk0_6,sk0_9)|~ex_sup_of_relstr_set(sk0_6,sk0_9))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f46])).
% 0.13/0.37 fof(f48,plain,(
% 0.13/0.37 antisymmetric_relstr(sk0_6)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 rel_str(sk0_6)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 element(sk0_7,the_carrier(sk0_6))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 pd0_0(sk0_8,sk0_7,sk0_6)|relstr_set_smaller(sk0_6,sk0_9,sk0_7)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f52,plain,(
% 0.13/0.37 ![X0]: (pd0_0(sk0_8,sk0_7,sk0_6)|~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,X0)|related(sk0_6,sk0_7,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f53,plain,(
% 0.13/0.37 pd0_0(sk0_8,sk0_7,sk0_6)|~sk0_7=join_on_relstr(sk0_6,sk0_9)|~ex_sup_of_relstr_set(sk0_6,sk0_9)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f54,plain,(
% 0.13/0.37 ![A,B,C]: (~pd0_0(C,B,A)|((B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))&(~relstr_set_smaller(A,C,B)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,C,D)&~related(A,B,D)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 ![A,B,C]: (~pd0_0(C,B,A)|((B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))&(~relstr_set_smaller(A,C,B)|(element(sk0_10(C,B,A),the_carrier(A))&(relstr_set_smaller(A,C,sk0_10(C,B,A))&~related(A,B,sk0_10(C,B,A)))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f54])).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X1=join_on_relstr(X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.37 fof(f57,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ex_sup_of_relstr_set(X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.37 fof(f58,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~relstr_set_smaller(X2,X0,X1)|element(sk0_10(X0,X1,X2),the_carrier(X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.37 fof(f59,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~relstr_set_smaller(X2,X0,X1)|relstr_set_smaller(X2,X0,sk0_10(X0,X1,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.37 fof(f60,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~relstr_set_smaller(X2,X0,X1)|~related(X2,X1,sk0_10(X0,X1,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.37 fof(f61,plain,(
% 0.13/0.37 spl0_0 <=> pd0_0(sk0_8,sk0_7,sk0_6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f62,plain,(
% 0.13/0.37 pd0_0(sk0_8,sk0_7,sk0_6)|~spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 spl0_1 <=> relstr_set_smaller(sk0_6,sk0_9,sk0_7)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f67,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f51,f61,f64])).
% 0.13/0.37 fof(f68,plain,(
% 0.13/0.37 spl0_2 <=> ~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,X0)|related(sk0_6,sk0_7,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,X0)|related(sk0_6,sk0_7,X0)|~spl0_2)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 spl0_0|spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f52,f61,f68])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 spl0_3 <=> sk0_7=join_on_relstr(sk0_6,sk0_9)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f75,plain,(
% 0.13/0.37 spl0_4 <=> ex_sup_of_relstr_set(sk0_6,sk0_9)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 ex_sup_of_relstr_set(sk0_6,sk0_9)|~spl0_4),
% 0.13/0.37 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 spl0_0|~spl0_3|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f53,f61,f72,f75])).
% 0.13/0.37 fof(f79,plain,(
% 0.13/0.37 ![X0,X1]: (~rel_str(X0)|~element(join_on_relstr(X0,X1),the_carrier(X0))|~ex_sup_of_relstr_set(X0,X1)|relstr_set_smaller(X0,X1,join_on_relstr(X0,X1)))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f17])).
% 0.13/0.37 fof(f81,plain,(
% 0.13/0.37 ![X0,X1]: (~rel_str(X0)|~ex_sup_of_relstr_set(X0,X1)|relstr_set_smaller(X0,X1,join_on_relstr(X0,X1)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f79,f24])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 sk0_7=join_on_relstr(sk0_6,sk0_8)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f62,f56])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 ex_sup_of_relstr_set(sk0_6,sk0_8)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f62,f57])).
% 0.13/0.37 fof(f85,plain,(
% 0.13/0.37 spl0_5 <=> rel_str(sk0_6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ~rel_str(sk0_6)|spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 spl0_6 <=> ~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|~related(sk0_6,X0,sk0_0(sk0_8,X0,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|~related(sk0_6,X0,sk0_0(sk0_8,X0,sk0_6))|~spl0_6)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f88])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 ![X0]: (~rel_str(sk0_6)|~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|~related(sk0_6,X0,sk0_0(sk0_8,X0,sk0_6))|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f84,f21])).
% 0.13/0.37 fof(f92,plain,(
% 0.13/0.37 ~spl0_5|spl0_6|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f91,f85,f88,f61])).
% 0.13/0.37 fof(f93,plain,(
% 0.13/0.37 spl0_7 <=> antisymmetric_relstr(sk0_6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f95,plain,(
% 0.13/0.37 ~antisymmetric_relstr(sk0_6)|spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.37 fof(f96,plain,(
% 0.13/0.37 spl0_8 <=> ~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,X0)|related(sk0_6,sk0_4(sk0_8,sk0_6),X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f97,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,X0)|related(sk0_6,sk0_4(sk0_8,sk0_6),X0)|~spl0_8)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f96])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ![X0]: (~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,X0)|related(sk0_6,sk0_4(sk0_8,sk0_6),X0)|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f84,f39])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ~spl0_7|~spl0_5|spl0_8|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f99,f93,f85,f96,f61])).
% 0.13/0.37 fof(f101,plain,(
% 0.13/0.37 spl0_9 <=> ~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,X0,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,X0,sk0_6))|~spl0_9)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.37 fof(f104,plain,(
% 0.13/0.37 ![X0]: (~rel_str(sk0_6)|~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,X0)|relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,X0,sk0_6))|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f84,f20])).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 ~spl0_5|spl0_9|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f104,f85,f101,f61])).
% 0.13/0.37 fof(f111,plain,(
% 0.13/0.37 $false|spl0_5),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f87,f49])).
% 0.13/0.37 fof(f112,plain,(
% 0.13/0.37 spl0_5),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f111])).
% 0.13/0.37 fof(f113,plain,(
% 0.13/0.37 spl0_11 <=> ~element(sk0_5(sk0_7,X0,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_5(sk0_7,X0,sk0_6))|ex_sup_of_relstr_set(sk0_6,X0)|~relstr_set_smaller(sk0_6,X0,sk0_7)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f114,plain,(
% 0.13/0.37 ![X0]: (~element(sk0_5(sk0_7,X0,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_5(sk0_7,X0,sk0_6))|ex_sup_of_relstr_set(sk0_6,X0)|~relstr_set_smaller(sk0_6,X0,sk0_7)|~spl0_11)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.37 fof(f116,plain,(
% 0.13/0.37 spl0_12 <=> element(sk0_7,the_carrier(sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f118,plain,(
% 0.13/0.37 ~element(sk0_7,the_carrier(sk0_6))|spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f116])).
% 0.13/0.37 fof(f119,plain,(
% 0.13/0.37 ![X0]: (~element(sk0_5(sk0_7,X0,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_5(sk0_7,X0,sk0_6))|~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|ex_sup_of_relstr_set(sk0_6,X0)|~element(sk0_7,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,X0,sk0_7)|~spl0_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f69,f42])).
% 0.13/0.37 fof(f120,plain,(
% 0.13/0.37 spl0_11|~spl0_7|~spl0_5|~spl0_12|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f119,f113,f93,f85,f116,f68])).
% 0.13/0.37 fof(f123,plain,(
% 0.13/0.37 $false|spl0_12),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f118,f50])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 spl0_12),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f123])).
% 0.13/0.37 fof(f125,plain,(
% 0.13/0.37 $false|spl0_7),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f95,f48])).
% 0.13/0.37 fof(f126,plain,(
% 0.13/0.37 spl0_7),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f125])).
% 0.13/0.37 fof(f127,plain,(
% 0.13/0.37 spl0_13 <=> element(sk0_5(sk0_7,sk0_9,sk0_6),the_carrier(sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f129,plain,(
% 0.13/0.37 ~element(sk0_5(sk0_7,sk0_9,sk0_6),the_carrier(sk0_6))|spl0_13),
% 0.13/0.37 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.37 fof(f130,plain,(
% 0.13/0.37 ~element(sk0_5(sk0_7,sk0_9,sk0_6),the_carrier(sk0_6))|ex_sup_of_relstr_set(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|ex_sup_of_relstr_set(sk0_6,sk0_9)|~element(sk0_7,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|~spl0_11),
% 0.13/0.37 inference(resolution,[status(thm)],[f114,f41])).
% 0.13/0.37 fof(f131,plain,(
% 0.13/0.37 ~spl0_13|spl0_4|~spl0_1|~spl0_7|~spl0_5|~spl0_12|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f130,f127,f75,f64,f93,f85,f116,f113])).
% 0.13/0.37 fof(f132,plain,(
% 0.13/0.37 ~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|ex_sup_of_relstr_set(sk0_6,sk0_9)|~element(sk0_7,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|spl0_13),
% 0.13/0.37 inference(resolution,[status(thm)],[f129,f40])).
% 0.13/0.37 fof(f133,plain,(
% 0.13/0.37 ~spl0_7|~spl0_5|spl0_4|~spl0_12|~spl0_1|spl0_13),
% 0.13/0.37 inference(split_clause,[status(thm)],[f132,f93,f85,f75,f116,f64,f127])).
% 0.13/0.37 fof(f134,plain,(
% 0.13/0.37 spl0_14 <=> ~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|~related(sk0_6,X0,sk0_0(sk0_9,X0,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f135,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|~related(sk0_6,X0,sk0_0(sk0_9,X0,sk0_6))|~spl0_14)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f134])).
% 0.13/0.37 fof(f137,plain,(
% 0.13/0.37 ![X0]: (~rel_str(sk0_6)|~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|~related(sk0_6,X0,sk0_0(sk0_9,X0,sk0_6))|~spl0_4)),
% 0.13/0.37 inference(resolution,[status(thm)],[f76,f21])).
% 0.13/0.37 fof(f138,plain,(
% 0.13/0.37 ~spl0_5|spl0_14|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f137,f85,f134,f75])).
% 0.13/0.37 fof(f144,plain,(
% 0.13/0.37 spl0_16 <=> ~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,X0,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f145,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,X0,sk0_6))|~spl0_16)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f144])).
% 0.13/0.37 fof(f147,plain,(
% 0.13/0.37 ![X0]: (~rel_str(sk0_6)|~element(X0,the_carrier(sk0_6))|X0=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,X0)|relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,X0,sk0_6))|~spl0_4)),
% 0.13/0.37 inference(resolution,[status(thm)],[f76,f20])).
% 0.13/0.37 fof(f148,plain,(
% 0.13/0.37 ~spl0_5|spl0_16|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f147,f85,f144,f75])).
% 0.13/0.37 fof(f154,plain,(
% 0.13/0.37 spl0_18 <=> element(sk0_0(sk0_9,sk0_7,sk0_6),the_carrier(sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f156,plain,(
% 0.13/0.37 ~element(sk0_0(sk0_9,sk0_7,sk0_6),the_carrier(sk0_6))|spl0_18),
% 0.13/0.37 inference(component_clause,[status(thm)],[f154])).
% 0.13/0.37 fof(f157,plain,(
% 0.13/0.37 spl0_19 <=> relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,sk0_7,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f159,plain,(
% 0.13/0.37 ~relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,sk0_7,sk0_6))|spl0_19),
% 0.13/0.37 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.37 fof(f160,plain,(
% 0.13/0.37 ~element(sk0_7,the_carrier(sk0_6))|sk0_7=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|~element(sk0_0(sk0_9,sk0_7,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_9,sk0_0(sk0_9,sk0_7,sk0_6))|~spl0_14|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f135,f69])).
% 0.13/0.37 fof(f161,plain,(
% 0.13/0.37 ~spl0_12|spl0_3|~spl0_1|~spl0_18|~spl0_19|~spl0_14|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f160,f116,f72,f64,f154,f157,f134,f68])).
% 0.13/0.37 fof(f190,plain,(
% 0.13/0.37 ~rel_str(sk0_6)|~element(sk0_7,the_carrier(sk0_6))|~ex_sup_of_relstr_set(sk0_6,sk0_9)|sk0_7=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|spl0_18),
% 0.13/0.37 inference(resolution,[status(thm)],[f156,f19])).
% 0.13/0.37 fof(f191,plain,(
% 0.13/0.37 ~spl0_5|~spl0_12|~spl0_4|spl0_3|~spl0_1|spl0_18),
% 0.13/0.37 inference(split_clause,[status(thm)],[f190,f85,f116,f75,f72,f64,f154])).
% 0.13/0.37 fof(f192,plain,(
% 0.13/0.37 ~element(sk0_7,the_carrier(sk0_6))|sk0_7=join_on_relstr(sk0_6,sk0_9)|~relstr_set_smaller(sk0_6,sk0_9,sk0_7)|spl0_19|~spl0_16),
% 0.13/0.37 inference(resolution,[status(thm)],[f159,f145])).
% 0.13/0.37 fof(f193,plain,(
% 0.13/0.37 ~spl0_12|spl0_3|~spl0_1|spl0_19|~spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f192,f116,f72,f64,f157,f144])).
% 0.13/0.37 fof(f204,plain,(
% 0.13/0.37 spl0_26 <=> ex_sup_of_relstr_set(sk0_6,sk0_8)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f206,plain,(
% 0.13/0.37 ~ex_sup_of_relstr_set(sk0_6,sk0_8)|spl0_26),
% 0.13/0.37 inference(component_clause,[status(thm)],[f204])).
% 0.13/0.37 fof(f207,plain,(
% 0.13/0.37 spl0_27 <=> relstr_set_smaller(sk0_6,sk0_8,sk0_7)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f210,plain,(
% 0.13/0.37 ~rel_str(sk0_6)|~ex_sup_of_relstr_set(sk0_6,sk0_8)|relstr_set_smaller(sk0_6,sk0_8,sk0_7)|~spl0_0),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f83,f81])).
% 0.13/0.37 fof(f211,plain,(
% 0.13/0.37 ~spl0_5|~spl0_26|spl0_27|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f210,f85,f204,f207,f61])).
% 0.13/0.37 fof(f214,plain,(
% 0.13/0.37 $false|~spl0_0|spl0_26),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f206,f84])).
% 0.13/0.37 fof(f215,plain,(
% 0.13/0.37 ~spl0_0|spl0_26),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f214])).
% 0.13/0.37 fof(f224,plain,(
% 0.13/0.37 spl0_30 <=> element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f226,plain,(
% 0.13/0.37 ~element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))|spl0_30),
% 0.13/0.37 inference(component_clause,[status(thm)],[f224])).
% 0.13/0.37 fof(f235,plain,(
% 0.13/0.37 spl0_33 <=> ~element(sk0_5(sk0_4(sk0_8,sk0_6),X0,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,sk0_5(sk0_4(sk0_8,sk0_6),X0,sk0_6))|ex_sup_of_relstr_set(sk0_6,X0)|~relstr_set_smaller(sk0_6,X0,sk0_4(sk0_8,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f238,plain,(
% 0.13/0.37 ![X0]: (~element(sk0_5(sk0_4(sk0_8,sk0_6),X0,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,sk0_5(sk0_4(sk0_8,sk0_6),X0,sk0_6))|~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|ex_sup_of_relstr_set(sk0_6,X0)|~element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,X0,sk0_4(sk0_8,sk0_6))|~spl0_8)),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f42])).
% 0.13/0.37 fof(f239,plain,(
% 0.13/0.37 spl0_33|~spl0_7|~spl0_5|~spl0_30|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f238,f235,f93,f85,f224,f96])).
% 0.13/0.37 fof(f242,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=sk0_7|~relstr_set_smaller(sk0_6,sk0_8,X0)|~related(sk0_6,X0,sk0_0(sk0_8,X0,sk0_6))|~spl0_0|~spl0_6)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f83,f89])).
% 0.13/0.37 fof(f243,plain,(
% 0.13/0.37 spl0_34 <=> sk0_4(sk0_8,sk0_6)=sk0_7),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f244,plain,(
% 0.13/0.37 sk0_4(sk0_8,sk0_6)=sk0_7|~spl0_34),
% 0.13/0.37 inference(component_clause,[status(thm)],[f243])).
% 0.13/0.37 fof(f246,plain,(
% 0.13/0.37 spl0_35 <=> relstr_set_smaller(sk0_6,sk0_8,sk0_4(sk0_8,sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f248,plain,(
% 0.13/0.37 ~relstr_set_smaller(sk0_6,sk0_8,sk0_4(sk0_8,sk0_6))|spl0_35),
% 0.13/0.37 inference(component_clause,[status(thm)],[f246])).
% 0.13/0.37 fof(f249,plain,(
% 0.13/0.37 spl0_36 <=> element(sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6),the_carrier(sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f251,plain,(
% 0.13/0.37 ~element(sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6),the_carrier(sk0_6))|spl0_36),
% 0.13/0.37 inference(component_clause,[status(thm)],[f249])).
% 0.13/0.37 fof(f252,plain,(
% 0.13/0.37 spl0_37 <=> relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f254,plain,(
% 0.13/0.37 ~relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6))|spl0_37),
% 0.13/0.37 inference(component_clause,[status(thm)],[f252])).
% 0.13/0.37 fof(f255,plain,(
% 0.13/0.37 ~element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))|sk0_4(sk0_8,sk0_6)=sk0_7|~relstr_set_smaller(sk0_6,sk0_8,sk0_4(sk0_8,sk0_6))|~element(sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,sk0_4(sk0_8,sk0_6),sk0_6))|~spl0_0|~spl0_6|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f242,f97])).
% 0.13/0.37 fof(f256,plain,(
% 0.13/0.37 ~spl0_30|spl0_34|~spl0_35|~spl0_36|~spl0_37|~spl0_0|~spl0_6|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f255,f224,f243,f246,f249,f252,f61,f88,f96])).
% 0.13/0.37 fof(f271,plain,(
% 0.13/0.37 ~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|~ex_sup_of_relstr_set(sk0_6,sk0_8)|spl0_30),
% 0.13/0.37 inference(resolution,[status(thm)],[f226,f37])).
% 0.13/0.37 fof(f272,plain,(
% 0.13/0.37 ~spl0_7|~spl0_5|~spl0_26|spl0_30),
% 0.13/0.37 inference(split_clause,[status(thm)],[f271,f93,f85,f204,f224])).
% 0.13/0.37 fof(f273,plain,(
% 0.13/0.37 ~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|~ex_sup_of_relstr_set(sk0_6,sk0_8)|spl0_35),
% 0.13/0.37 inference(resolution,[status(thm)],[f248,f38])).
% 0.13/0.37 fof(f274,plain,(
% 0.13/0.37 ~spl0_7|~spl0_5|~spl0_26|spl0_35),
% 0.13/0.37 inference(split_clause,[status(thm)],[f273,f93,f85,f204,f246])).
% 0.13/0.37 fof(f280,plain,(
% 0.13/0.37 spl0_43 <=> sk0_4(sk0_8,sk0_6)=join_on_relstr(sk0_6,sk0_8)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f281,plain,(
% 0.13/0.37 sk0_4(sk0_8,sk0_6)=join_on_relstr(sk0_6,sk0_8)|~spl0_43),
% 0.13/0.37 inference(component_clause,[status(thm)],[f280])).
% 0.13/0.37 fof(f282,plain,(
% 0.13/0.37 ~sk0_4(sk0_8,sk0_6)=join_on_relstr(sk0_6,sk0_8)|spl0_43),
% 0.13/0.37 inference(component_clause,[status(thm)],[f280])).
% 0.13/0.37 fof(f283,plain,(
% 0.13/0.37 ~rel_str(sk0_6)|~element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))|~ex_sup_of_relstr_set(sk0_6,sk0_8)|sk0_4(sk0_8,sk0_6)=join_on_relstr(sk0_6,sk0_8)|~relstr_set_smaller(sk0_6,sk0_8,sk0_4(sk0_8,sk0_6))|spl0_36),
% 0.13/0.37 inference(resolution,[status(thm)],[f251,f19])).
% 0.13/0.37 fof(f284,plain,(
% 0.13/0.37 ~spl0_5|~spl0_30|~spl0_26|spl0_43|~spl0_35|spl0_36),
% 0.13/0.37 inference(split_clause,[status(thm)],[f283,f85,f224,f204,f280,f246,f249])).
% 0.13/0.37 fof(f285,plain,(
% 0.13/0.37 sk0_4(sk0_8,sk0_6)=sk0_7|~spl0_0|~spl0_43),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f83,f281])).
% 0.13/0.37 fof(f288,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,X0)|related(sk0_6,sk0_7,X0)|~spl0_0|~spl0_43|~spl0_8)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f285,f97])).
% 0.13/0.37 fof(f314,plain,(
% 0.13/0.37 ![X0]: (~element(sk0_10(X0,sk0_7,sk0_6),the_carrier(sk0_6))|~relstr_set_smaller(sk0_6,sk0_8,sk0_10(X0,sk0_7,sk0_6))|~pd0_0(X0,sk0_7,sk0_6)|~relstr_set_smaller(sk0_6,X0,sk0_7)|~spl0_0|~spl0_43|~spl0_8)),
% 0.13/0.37 inference(resolution,[status(thm)],[f288,f60])).
% 0.13/0.37 fof(f315,plain,(
% 0.13/0.37 ![X0]: (~relstr_set_smaller(sk0_6,sk0_8,sk0_10(X0,sk0_7,sk0_6))|~pd0_0(X0,sk0_7,sk0_6)|~relstr_set_smaller(sk0_6,X0,sk0_7)|~spl0_0|~spl0_43|~spl0_8)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f314,f58])).
% 0.13/0.37 fof(f321,plain,(
% 0.13/0.37 ![X0]: (~element(X0,the_carrier(sk0_6))|X0=sk0_7|~relstr_set_smaller(sk0_6,sk0_8,X0)|relstr_set_smaller(sk0_6,sk0_8,sk0_0(sk0_8,X0,sk0_6))|~spl0_0|~spl0_9)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f83,f102])).
% 0.13/0.37 fof(f376,plain,(
% 0.13/0.37 ~pd0_0(sk0_8,sk0_7,sk0_6)|~relstr_set_smaller(sk0_6,sk0_8,sk0_7)|~pd0_0(sk0_8,sk0_7,sk0_6)|~relstr_set_smaller(sk0_6,sk0_8,sk0_7)|~spl0_0|~spl0_43|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f315,f59])).
% 0.13/0.37 fof(f377,plain,(
% 0.13/0.37 ~spl0_0|~spl0_27|~spl0_43|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f376,f61,f207,f280,f96])).
% 0.13/0.37 fof(f379,plain,(
% 0.13/0.37 ~sk0_4(sk0_8,sk0_6)=sk0_7|~spl0_0|spl0_43),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f83,f282])).
% 0.13/0.37 fof(f391,plain,(
% 0.13/0.37 ~antisymmetric_relstr(sk0_6)|~rel_str(sk0_6)|~ex_sup_of_relstr_set(sk0_6,sk0_8)|relstr_set_smaller(sk0_6,sk0_8,sk0_7)|~spl0_34),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f244,f38])).
% 0.13/0.37 fof(f392,plain,(
% 0.13/0.37 ~spl0_7|~spl0_5|~spl0_26|spl0_27|~spl0_34),
% 0.13/0.37 inference(split_clause,[status(thm)],[f391,f93,f85,f204,f207,f243])).
% 0.13/0.37 fof(f393,plain,(
% 0.13/0.37 ~sk0_7=sk0_7|~spl0_34|~spl0_0|spl0_43),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f244,f379])).
% 0.13/0.37 fof(f394,plain,(
% 0.13/0.37 $false|~spl0_34|~spl0_0|spl0_43),
% 0.13/0.37 inference(trivial_equality_resolution,[status(esa)],[f393])).
% 0.13/0.37 fof(f395,plain,(
% 0.13/0.37 ~spl0_34|~spl0_0|spl0_43),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f394])).
% 0.13/0.37 fof(f408,plain,(
% 0.13/0.37 ~element(sk0_4(sk0_8,sk0_6),the_carrier(sk0_6))|sk0_4(sk0_8,sk0_6)=sk0_7|~relstr_set_smaller(sk0_6,sk0_8,sk0_4(sk0_8,sk0_6))|spl0_37|~spl0_0|~spl0_9),
% 0.13/0.37 inference(resolution,[status(thm)],[f254,f321])).
% 0.13/0.37 fof(f409,plain,(
% 0.13/0.37 ~spl0_30|spl0_34|~spl0_35|spl0_37|~spl0_0|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f408,f224,f243,f246,f252,f61,f101])).
% 0.13/0.37 fof(f410,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f67,f71,f78,f92,f100,f105,f112,f120,f124,f126,f131,f133,f138,f148,f161,f191,f193,f211,f215,f239,f256,f272,f274,f284,f377,f392,f395,f409])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.025767 seconds
% 0.20/0.38 % CPU time: 0.072803 seconds
% 0.20/0.38 % Total memory used: 13.745 MB
% 0.20/0.38 % Net memory used: 13.715 MB
%------------------------------------------------------------------------------