TSTP Solution File: SEU350+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:36:47 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:13:10 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,axiom,(
% 0.12/0.35 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,axiom,(
% 0.12/0.35 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(poset_of_lattice(A)))=> cast_to_el_of_lattice(A,B) = B ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f16,axiom,(
% 0.12/0.35 (! [A,B] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& element(B,the_carrier(poset_of_lattice(A))) )=> element(cast_to_el_of_lattice(A,B),the_carrier(A)) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f21,axiom,(
% 0.12/0.35 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f22,axiom,(
% 0.12/0.35 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f34,axiom,(
% 0.12/0.35 (! [A] :(? [B] : element(B,A) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f37,axiom,(
% 0.12/0.35 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f45,axiom,(
% 0.12/0.35 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f48,axiom,(
% 0.12/0.35 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f57,axiom,(
% 0.12/0.35 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f58,axiom,(
% 0.12/0.35 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(B))=> ( latt_element_smaller(B,C,A)<=> relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f59,conjecture,(
% 0.12/0.35 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f60,negated_conjecture,(
% 0.12/0.35 ~((! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) ))),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f59])).
% 0.12/0.35 fof(f67,plain,(
% 0.12/0.35 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.12/0.35 fof(f68,plain,(
% 0.12/0.35 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f67])).
% 0.12/0.35 fof(f85,plain,(
% 0.12/0.35 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.12/0.35 fof(f86,plain,(
% 0.12/0.35 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f85])).
% 0.12/0.35 fof(f87,plain,(
% 0.12/0.35 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f88,plain,(
% 0.12/0.35 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f87])).
% 0.12/0.35 fof(f89,plain,(
% 0.12/0.35 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.35 fof(f90,plain,(
% 0.12/0.35 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|cast_to_el_of_lattice(X0,X1)=X1)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f89])).
% 0.12/0.35 fof(f108,plain,(
% 0.12/0.35 ![A,B]: ((((empty_carrier(A)|~lattice(A))|~latt_str(A))|~element(B,the_carrier(poset_of_lattice(A))))|element(cast_to_el_of_lattice(A,B),the_carrier(A)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.12/0.35 fof(f109,plain,(
% 0.12/0.35 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f108])).
% 0.12/0.35 fof(f116,plain,(
% 0.12/0.35 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.12/0.35 fof(f117,plain,(
% 0.12/0.35 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f116])).
% 0.12/0.35 fof(f118,plain,(
% 0.12/0.35 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.12/0.35 fof(f120,plain,(
% 0.12/0.35 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f118])).
% 0.12/0.35 fof(f137,plain,(
% 0.12/0.35 ![A]: element(sk0_6(A),A)),
% 0.12/0.35 inference(skolemization,[status(esa)],[f34])).
% 0.12/0.35 fof(f138,plain,(
% 0.12/0.35 ![X0]: (element(sk0_6(X0),X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f137])).
% 0.12/0.35 fof(f144,plain,(
% 0.12/0.35 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.12/0.35 fof(f145,plain,(
% 0.12/0.35 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f144])).
% 0.12/0.35 fof(f170,plain,(
% 0.12/0.35 (rel_str(sk0_8)&strict_rel_str(sk0_8))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f45])).
% 0.12/0.35 fof(f171,plain,(
% 0.12/0.35 rel_str(sk0_8)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f170])).
% 0.12/0.35 fof(f172,plain,(
% 0.12/0.35 strict_rel_str(sk0_8)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f170])).
% 0.12/0.35 fof(f179,plain,(
% 0.12/0.35 (((((rel_str(sk0_11)&~empty_carrier(sk0_11))&strict_rel_str(sk0_11))&reflexive_relstr(sk0_11))&transitive_relstr(sk0_11))&antisymmetric_relstr(sk0_11))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f48])).
% 0.12/0.35 fof(f180,plain,(
% 0.12/0.35 rel_str(sk0_11)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f179])).
% 0.12/0.35 fof(f182,plain,(
% 0.12/0.35 strict_rel_str(sk0_11)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f179])).
% 0.12/0.35 fof(f208,plain,(
% 0.12/0.35 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.12/0.35 fof(f209,plain,(
% 0.12/0.35 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f208])).
% 0.12/0.35 fof(f210,plain,(
% 0.12/0.35 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|(latt_element_smaller(B,C,A)<=>relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.12/0.35 fof(f211,plain,(
% 0.12/0.35 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))&(latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f210])).
% 0.12/0.35 fof(f212,plain,(
% 0.12/0.35 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((![A]: (~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))&(![A]: (latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f211])).
% 0.12/0.35 fof(f213,plain,(
% 0.12/0.35 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f212])).
% 0.12/0.35 fof(f214,plain,(
% 0.12/0.35 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|latt_element_smaller(X0,X1,X2)|~relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f212])).
% 0.12/0.35 fof(f215,plain,(
% 0.12/0.35 (?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(relstr_set_smaller(poset_of_lattice(B),A,C)<~>latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.12/0.35 fof(f216,plain,(
% 0.12/0.35 ?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f215])).
% 0.12/0.35 fof(f217,plain,(
% 0.12/0.35 ?[B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(?[A]: ((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f216])).
% 0.12/0.35 fof(f218,plain,(
% 0.12/0.35 (((~empty_carrier(sk0_16)&lattice(sk0_16))&latt_str(sk0_16))&(element(sk0_17,the_carrier(poset_of_lattice(sk0_16)))&((relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18))&(~relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|~latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f217])).
% 0.12/0.35 fof(f219,plain,(
% 0.12/0.35 ~empty_carrier(sk0_16)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f220,plain,(
% 0.12/0.35 lattice(sk0_16)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f221,plain,(
% 0.12/0.35 latt_str(sk0_16)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f222,plain,(
% 0.12/0.35 element(sk0_17,the_carrier(poset_of_lattice(sk0_16)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f223,plain,(
% 0.12/0.35 relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f224,plain,(
% 0.12/0.35 ~relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|~latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f243,plain,(
% 0.12/0.35 spl0_0 <=> relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f244,plain,(
% 0.12/0.35 relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|~spl0_0),
% 0.12/0.35 inference(component_clause,[status(thm)],[f243])).
% 0.12/0.35 fof(f246,plain,(
% 0.12/0.35 spl0_1 <=> latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f247,plain,(
% 0.12/0.35 latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)|~spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f246])).
% 0.12/0.35 fof(f248,plain,(
% 0.12/0.35 ~latt_element_smaller(sk0_16,cast_to_el_of_lattice(sk0_16,sk0_17),sk0_18)|spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f246])).
% 0.12/0.35 fof(f249,plain,(
% 0.12/0.35 spl0_0|spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f223,f243,f246])).
% 0.12/0.35 fof(f250,plain,(
% 0.12/0.35 ~spl0_0|~spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f224,f243,f246])).
% 0.12/0.35 fof(f251,plain,(
% 0.12/0.35 spl0_2 <=> empty_carrier(sk0_16)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f252,plain,(
% 0.12/0.35 empty_carrier(sk0_16)|~spl0_2),
% 0.12/0.35 inference(component_clause,[status(thm)],[f251])).
% 0.12/0.35 fof(f254,plain,(
% 0.12/0.35 spl0_3 <=> latt_str(sk0_16)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f256,plain,(
% 0.12/0.35 ~latt_str(sk0_16)|spl0_3),
% 0.12/0.35 inference(component_clause,[status(thm)],[f254])).
% 0.12/0.35 fof(f257,plain,(
% 0.12/0.35 spl0_4 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_16)))|cast_to_el_of_lattice(sk0_16,X0)=X0),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f258,plain,(
% 0.12/0.35 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_16)))|cast_to_el_of_lattice(sk0_16,X0)=X0|~spl0_4)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f257])).
% 0.12/0.35 fof(f260,plain,(
% 0.12/0.35 ![X0]: (empty_carrier(sk0_16)|~latt_str(sk0_16)|~element(X0,the_carrier(poset_of_lattice(sk0_16)))|cast_to_el_of_lattice(sk0_16,X0)=X0)),
% 0.12/0.35 inference(resolution,[status(thm)],[f90,f220])).
% 0.12/0.35 fof(f261,plain,(
% 0.12/0.35 spl0_2|~spl0_3|spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f260,f251,f254,f257])).
% 0.12/0.35 fof(f262,plain,(
% 0.12/0.35 $false|spl0_3),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f256,f221])).
% 0.12/0.35 fof(f263,plain,(
% 0.12/0.35 spl0_3),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f262])).
% 0.12/0.35 fof(f264,plain,(
% 0.12/0.35 $false|~spl0_2),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f252,f219])).
% 0.12/0.36 fof(f265,plain,(
% 0.12/0.36 ~spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f264])).
% 0.12/0.36 fof(f266,plain,(
% 0.12/0.36 spl0_5 <=> ~element(X0,the_carrier(sk0_16))|latt_element_smaller(sk0_16,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_16),X1,cast_to_el_of_LattPOSet(sk0_16,X0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f267,plain,(
% 0.12/0.36 ![X0,X1]: (~element(X0,the_carrier(sk0_16))|latt_element_smaller(sk0_16,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_16),X1,cast_to_el_of_LattPOSet(sk0_16,X0))|~spl0_5)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f266])).
% 0.12/0.36 fof(f269,plain,(
% 0.12/0.36 ![X0,X1]: (empty_carrier(sk0_16)|~latt_str(sk0_16)|~element(X0,the_carrier(sk0_16))|latt_element_smaller(sk0_16,X0,X1)|~relstr_set_smaller(poset_of_lattice(sk0_16),X1,cast_to_el_of_LattPOSet(sk0_16,X0)))),
% 0.12/0.36 inference(resolution,[status(thm)],[f214,f220])).
% 0.12/0.36 fof(f270,plain,(
% 0.12/0.36 spl0_2|~spl0_3|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f269,f251,f254,f266])).
% 0.12/0.36 fof(f271,plain,(
% 0.12/0.36 spl0_6 <=> rel_str(sk0_8)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f273,plain,(
% 0.12/0.36 ~rel_str(sk0_8)|spl0_6),
% 0.12/0.36 inference(component_clause,[status(thm)],[f271])).
% 0.12/0.36 fof(f274,plain,(
% 0.12/0.36 spl0_7 <=> sk0_8=rel_str_of(the_carrier(sk0_8),the_InternalRel(sk0_8))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f277,plain,(
% 0.12/0.36 ~rel_str(sk0_8)|sk0_8=rel_str_of(the_carrier(sk0_8),the_InternalRel(sk0_8))),
% 0.12/0.36 inference(resolution,[status(thm)],[f172,f68])).
% 0.12/0.36 fof(f278,plain,(
% 0.12/0.36 ~spl0_6|spl0_7),
% 0.12/0.36 inference(split_clause,[status(thm)],[f277,f271,f274])).
% 0.12/0.36 fof(f279,plain,(
% 0.12/0.36 $false|spl0_6),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f273,f171])).
% 0.12/0.36 fof(f280,plain,(
% 0.12/0.36 spl0_6),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f279])).
% 0.12/0.36 fof(f281,plain,(
% 0.12/0.36 spl0_8 <=> rel_str(sk0_11)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f283,plain,(
% 0.12/0.36 ~rel_str(sk0_11)|spl0_8),
% 0.12/0.36 inference(component_clause,[status(thm)],[f281])).
% 0.12/0.36 fof(f284,plain,(
% 0.12/0.36 spl0_9 <=> sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f287,plain,(
% 0.12/0.36 ~rel_str(sk0_11)|sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 0.12/0.36 inference(resolution,[status(thm)],[f182,f68])).
% 0.12/0.36 fof(f288,plain,(
% 0.12/0.36 ~spl0_8|spl0_9),
% 0.12/0.36 inference(split_clause,[status(thm)],[f287,f281,f284])).
% 0.12/0.36 fof(f289,plain,(
% 0.12/0.36 $false|spl0_8),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f283,f180])).
% 0.12/0.36 fof(f290,plain,(
% 0.12/0.36 spl0_8),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f289])).
% 0.12/0.36 fof(f305,plain,(
% 0.12/0.36 cast_to_el_of_lattice(sk0_16,sk0_17)=sk0_17|~spl0_4),
% 0.12/0.36 inference(resolution,[status(thm)],[f258,f222])).
% 0.12/0.36 fof(f306,plain,(
% 0.12/0.36 ~latt_element_smaller(sk0_16,sk0_17,sk0_18)|~spl0_4|spl0_1),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f305,f248])).
% 0.12/0.36 fof(f307,plain,(
% 0.12/0.36 spl0_14 <=> lattice(sk0_16)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f309,plain,(
% 0.12/0.36 ~lattice(sk0_16)|spl0_14),
% 0.12/0.36 inference(component_clause,[status(thm)],[f307])).
% 0.12/0.36 fof(f310,plain,(
% 0.12/0.36 spl0_15 <=> element(sk0_17,the_carrier(poset_of_lattice(sk0_16)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f312,plain,(
% 0.12/0.36 ~element(sk0_17,the_carrier(poset_of_lattice(sk0_16)))|spl0_15),
% 0.12/0.36 inference(component_clause,[status(thm)],[f310])).
% 0.12/0.36 fof(f313,plain,(
% 0.12/0.36 spl0_16 <=> element(sk0_17,the_carrier(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f314,plain,(
% 0.12/0.36 element(sk0_17,the_carrier(sk0_16))|~spl0_16),
% 0.12/0.36 inference(component_clause,[status(thm)],[f313])).
% 0.12/0.36 fof(f316,plain,(
% 0.12/0.36 empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(sk0_17,the_carrier(poset_of_lattice(sk0_16)))|element(sk0_17,the_carrier(sk0_16))|~spl0_4),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f305,f109])).
% 0.12/0.36 fof(f317,plain,(
% 0.12/0.36 spl0_2|~spl0_14|~spl0_3|~spl0_15|spl0_16|~spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f316,f251,f307,f254,f310,f313,f257])).
% 0.12/0.36 fof(f318,plain,(
% 0.12/0.36 $false|spl0_15),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f312,f222])).
% 0.12/0.36 fof(f319,plain,(
% 0.12/0.36 spl0_15),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f318])).
% 0.12/0.36 fof(f320,plain,(
% 0.12/0.36 $false|spl0_14),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f309,f220])).
% 0.12/0.36 fof(f321,plain,(
% 0.12/0.36 spl0_14),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f320])).
% 0.12/0.36 fof(f322,plain,(
% 0.12/0.36 spl0_17 <=> ~element(X0,the_carrier(sk0_16))|latt_element_smaller(sk0_16,X0,X1)|~element(X0,the_carrier(sk0_16))|~latt_element_smaller(sk0_16,X0,X1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f325,plain,(
% 0.12/0.36 ![X0,X1]: (~element(X0,the_carrier(sk0_16))|latt_element_smaller(sk0_16,X0,X1)|empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(X0,the_carrier(sk0_16))|~latt_element_smaller(sk0_16,X0,X1)|~spl0_5)),
% 0.12/0.36 inference(resolution,[status(thm)],[f267,f213])).
% 0.12/0.36 fof(f326,plain,(
% 0.12/0.36 spl0_17|spl0_2|~spl0_14|~spl0_3|~spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f325,f322,f251,f307,f254,f266])).
% 0.12/0.36 fof(f328,plain,(
% 0.12/0.36 ![X0]: (~latt_str(X0)|one_sorted_str(X0))),
% 0.12/0.36 inference(resolution,[status(thm)],[f120,f117])).
% 0.12/0.36 fof(f329,plain,(
% 0.12/0.36 cast_to_el_of_lattice(sk0_16,sk0_6(the_carrier(poset_of_lattice(sk0_16))))=sk0_6(the_carrier(poset_of_lattice(sk0_16)))|~spl0_4),
% 0.12/0.36 inference(resolution,[status(thm)],[f138,f258])).
% 0.12/0.36 fof(f330,plain,(
% 0.12/0.36 spl0_18 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(poset_of_lattice(sk0_16)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f332,plain,(
% 0.12/0.36 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(poset_of_lattice(sk0_16)))|spl0_18),
% 0.12/0.36 inference(component_clause,[status(thm)],[f330])).
% 0.12/0.36 fof(f333,plain,(
% 0.12/0.36 spl0_19 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f334,plain,(
% 0.12/0.36 element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(sk0_16))|~spl0_19),
% 0.12/0.36 inference(component_clause,[status(thm)],[f333])).
% 0.12/0.36 fof(f336,plain,(
% 0.12/0.36 empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(poset_of_lattice(sk0_16)))|element(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(sk0_16))|~spl0_4),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f329,f109])).
% 0.12/0.36 fof(f337,plain,(
% 0.12/0.36 spl0_2|~spl0_14|~spl0_3|~spl0_18|spl0_19|~spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f336,f251,f307,f254,f330,f333,f257])).
% 0.12/0.36 fof(f338,plain,(
% 0.12/0.36 $false|spl0_18),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f332,f138])).
% 0.12/0.36 fof(f339,plain,(
% 0.12/0.36 spl0_18),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f338])).
% 0.12/0.36 fof(f363,plain,(
% 0.12/0.36 spl0_20 <=> poset_of_lattice(sk0_16)=rel_str_of(the_carrier(sk0_16),k2_lattice3(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f366,plain,(
% 0.12/0.36 empty_carrier(sk0_16)|~latt_str(sk0_16)|poset_of_lattice(sk0_16)=rel_str_of(the_carrier(sk0_16),k2_lattice3(sk0_16))),
% 0.12/0.36 inference(resolution,[status(thm)],[f86,f220])).
% 0.12/0.36 fof(f367,plain,(
% 0.12/0.36 spl0_2|~spl0_3|spl0_20),
% 0.12/0.36 inference(split_clause,[status(thm)],[f366,f251,f254,f363])).
% 0.12/0.36 fof(f373,plain,(
% 0.12/0.36 spl0_21 <=> empty(the_carrier(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f374,plain,(
% 0.12/0.36 empty(the_carrier(sk0_16))|~spl0_21),
% 0.12/0.36 inference(component_clause,[status(thm)],[f373])).
% 0.12/0.36 fof(f376,plain,(
% 0.12/0.36 spl0_22 <=> in(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f379,plain,(
% 0.12/0.36 empty(the_carrier(sk0_16))|in(sk0_6(the_carrier(poset_of_lattice(sk0_16))),the_carrier(sk0_16))|~spl0_19),
% 0.12/0.36 inference(resolution,[status(thm)],[f209,f334])).
% 0.12/0.36 fof(f380,plain,(
% 0.12/0.36 spl0_21|spl0_22|~spl0_19),
% 0.12/0.36 inference(split_clause,[status(thm)],[f379,f373,f376,f333])).
% 0.12/0.36 fof(f383,plain,(
% 0.12/0.36 spl0_23 <=> in(sk0_17,the_carrier(sk0_16))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f386,plain,(
% 0.12/0.36 empty(the_carrier(sk0_16))|in(sk0_17,the_carrier(sk0_16))|~spl0_16),
% 0.12/0.36 inference(resolution,[status(thm)],[f209,f314])).
% 0.12/0.36 fof(f387,plain,(
% 0.12/0.36 spl0_21|spl0_23|~spl0_16),
% 0.12/0.36 inference(split_clause,[status(thm)],[f386,f373,f383,f313])).
% 0.12/0.36 fof(f412,plain,(
% 0.12/0.36 spl0_26 <=> ~element(X0,the_carrier(sk0_16))|cast_to_el_of_LattPOSet(sk0_16,X0)=X0),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f413,plain,(
% 0.12/0.36 ![X0]: (~element(X0,the_carrier(sk0_16))|cast_to_el_of_LattPOSet(sk0_16,X0)=X0|~spl0_26)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f412])).
% 0.12/0.36 fof(f415,plain,(
% 0.12/0.36 ![X0]: (empty_carrier(sk0_16)|~latt_str(sk0_16)|~element(X0,the_carrier(sk0_16))|cast_to_el_of_LattPOSet(sk0_16,X0)=X0)),
% 0.12/0.36 inference(resolution,[status(thm)],[f88,f220])).
% 0.12/0.36 fof(f416,plain,(
% 0.12/0.36 spl0_2|~spl0_3|spl0_26),
% 0.12/0.36 inference(split_clause,[status(thm)],[f415,f251,f254,f412])).
% 0.12/0.36 fof(f417,plain,(
% 0.12/0.36 spl0_27 <=> one_sorted_str(sk0_16)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f419,plain,(
% 0.12/0.36 ~one_sorted_str(sk0_16)|spl0_27),
% 0.12/0.36 inference(component_clause,[status(thm)],[f417])).
% 0.12/0.36 fof(f420,plain,(
% 0.12/0.36 empty_carrier(sk0_16)|~one_sorted_str(sk0_16)|~spl0_21),
% 0.12/0.36 inference(resolution,[status(thm)],[f374,f145])).
% 0.12/0.36 fof(f421,plain,(
% 0.12/0.36 spl0_2|~spl0_27|~spl0_21),
% 0.12/0.36 inference(split_clause,[status(thm)],[f420,f251,f417,f373])).
% 0.12/0.36 fof(f425,plain,(
% 0.12/0.36 ~latt_str(sk0_16)|spl0_27),
% 0.12/0.36 inference(resolution,[status(thm)],[f419,f328])).
% 0.12/0.36 fof(f426,plain,(
% 0.12/0.36 ~spl0_3|spl0_27),
% 0.12/0.36 inference(split_clause,[status(thm)],[f425,f254,f417])).
% 0.12/0.36 fof(f444,plain,(
% 0.12/0.36 cast_to_el_of_LattPOSet(sk0_16,sk0_6(the_carrier(sk0_16)))=sk0_6(the_carrier(sk0_16))|~spl0_26),
% 0.12/0.36 inference(resolution,[status(thm)],[f413,f138])).
% 0.12/0.36 fof(f445,plain,(
% 0.12/0.36 spl0_29 <=> cast_to_el_of_LattPOSet(sk0_16,cast_to_el_of_lattice(sk0_16,X0))=cast_to_el_of_lattice(sk0_16,X0)|~element(X0,the_carrier(poset_of_lattice(sk0_16)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f448,plain,(
% 0.12/0.36 ![X0]: (cast_to_el_of_LattPOSet(sk0_16,cast_to_el_of_lattice(sk0_16,X0))=cast_to_el_of_lattice(sk0_16,X0)|empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(X0,the_carrier(poset_of_lattice(sk0_16)))|~spl0_26)),
% 0.12/0.36 inference(resolution,[status(thm)],[f413,f109])).
% 0.12/0.36 fof(f449,plain,(
% 0.12/0.36 spl0_29|spl0_2|~spl0_14|~spl0_3|~spl0_26),
% 0.12/0.36 inference(split_clause,[status(thm)],[f448,f445,f251,f307,f254,f412])).
% 0.12/0.36 fof(f450,plain,(
% 0.12/0.36 cast_to_el_of_LattPOSet(sk0_16,sk0_17)=sk0_17|~spl0_26|~spl0_16),
% 0.12/0.36 inference(resolution,[status(thm)],[f413,f314])).
% 0.12/0.36 fof(f451,plain,(
% 0.12/0.36 spl0_30 <=> latt_element_smaller(sk0_16,sk0_17,X0)|~relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f452,plain,(
% 0.12/0.36 ![X0]: (latt_element_smaller(sk0_16,sk0_17,X0)|~relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)|~spl0_30)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f451])).
% 0.12/0.36 fof(f454,plain,(
% 0.12/0.36 ![X0]: (~element(sk0_17,the_carrier(sk0_16))|latt_element_smaller(sk0_16,sk0_17,X0)|~relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)|~spl0_5|~spl0_26|~spl0_16)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f450,f267])).
% 0.12/0.36 fof(f455,plain,(
% 0.12/0.36 ~spl0_16|spl0_30|~spl0_5|~spl0_26),
% 0.12/0.36 inference(split_clause,[status(thm)],[f454,f313,f451,f266,f412])).
% 0.12/0.36 fof(f456,plain,(
% 0.12/0.36 spl0_31 <=> ~latt_element_smaller(sk0_16,sk0_17,X0)|relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f457,plain,(
% 0.12/0.36 ![X0]: (~latt_element_smaller(sk0_16,sk0_17,X0)|relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)|~spl0_31)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f456])).
% 0.12/0.36 fof(f459,plain,(
% 0.12/0.36 ![X0]: (empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(sk0_17,the_carrier(sk0_16))|~latt_element_smaller(sk0_16,sk0_17,X0)|relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_17)|~spl0_26|~spl0_16)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f450,f213])).
% 0.21/0.58 fof(f460,plain,(
% 0.21/0.58 spl0_2|~spl0_14|~spl0_3|~spl0_16|spl0_31|~spl0_26),
% 0.21/0.58 inference(split_clause,[status(thm)],[f459,f251,f307,f254,f313,f456,f412])).
% 0.21/0.58 fof(f461,plain,(
% 0.21/0.58 spl0_32 <=> element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f463,plain,(
% 0.21/0.58 ~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|spl0_32),
% 0.21/0.58 inference(component_clause,[status(thm)],[f461])).
% 0.21/0.58 fof(f464,plain,(
% 0.21/0.58 spl0_33 <=> latt_element_smaller(sk0_16,sk0_6(the_carrier(sk0_16)),X0)|~relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_6(the_carrier(sk0_16)))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f467,plain,(
% 0.21/0.58 ![X0]: (~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|latt_element_smaller(sk0_16,sk0_6(the_carrier(sk0_16)),X0)|~relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_6(the_carrier(sk0_16)))|~spl0_5|~spl0_26)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f444,f267])).
% 0.21/0.58 fof(f468,plain,(
% 0.21/0.58 ~spl0_32|spl0_33|~spl0_5|~spl0_26),
% 0.21/0.58 inference(split_clause,[status(thm)],[f467,f461,f464,f266,f412])).
% 0.21/0.58 fof(f469,plain,(
% 0.21/0.58 spl0_34 <=> ~latt_element_smaller(sk0_16,sk0_6(the_carrier(sk0_16)),X0)|relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_6(the_carrier(sk0_16)))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f472,plain,(
% 0.21/0.58 ![X0]: (empty_carrier(sk0_16)|~lattice(sk0_16)|~latt_str(sk0_16)|~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|~latt_element_smaller(sk0_16,sk0_6(the_carrier(sk0_16)),X0)|relstr_set_smaller(poset_of_lattice(sk0_16),X0,sk0_6(the_carrier(sk0_16)))|~spl0_26)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f444,f213])).
% 0.21/0.58 fof(f473,plain,(
% 0.21/0.58 spl0_2|~spl0_14|~spl0_3|~spl0_32|spl0_34|~spl0_26),
% 0.21/0.58 inference(split_clause,[status(thm)],[f472,f251,f307,f254,f461,f469,f412])).
% 0.21/0.58 fof(f474,plain,(
% 0.21/0.58 $false|spl0_32),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f463,f138])).
% 0.21/0.58 fof(f475,plain,(
% 0.21/0.58 spl0_32),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f474])).
% 0.21/0.58 fof(f488,plain,(
% 0.21/0.58 latt_element_smaller(sk0_16,sk0_17,sk0_18)|~spl0_30|~spl0_0),
% 0.21/0.58 inference(resolution,[status(thm)],[f452,f244])).
% 0.21/0.58 fof(f489,plain,(
% 0.21/0.58 $false|~spl0_4|spl0_1|~spl0_30|~spl0_0),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f488,f306])).
% 0.21/0.58 fof(f490,plain,(
% 0.21/0.58 ~spl0_4|spl0_1|~spl0_30|~spl0_0),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f489])).
% 0.21/0.58 fof(f491,plain,(
% 0.21/0.58 latt_element_smaller(sk0_16,sk0_17,sk0_18)|~spl0_4|~spl0_1),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f305,f247])).
% 0.21/0.58 fof(f492,plain,(
% 0.21/0.58 relstr_set_smaller(poset_of_lattice(sk0_16),sk0_18,sk0_17)|~spl0_31|~spl0_4|~spl0_1),
% 0.21/0.58 inference(resolution,[status(thm)],[f457,f491])).
% 0.21/0.58 fof(f493,plain,(
% 0.21/0.58 spl0_0|~spl0_31|~spl0_4|~spl0_1),
% 0.21/0.58 inference(split_clause,[status(thm)],[f492,f243,f456,f257,f246])).
% 0.21/0.58 fof(f494,plain,(
% 0.21/0.58 $false),
% 0.21/0.58 inference(sat_refutation,[status(thm)],[f249,f250,f261,f263,f265,f270,f278,f280,f288,f290,f317,f319,f321,f326,f337,f339,f367,f380,f387,f416,f421,f426,f449,f455,f460,f468,f473,f475,f490,f493])).
% 0.21/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.58 % Elapsed time: 0.030938 seconds
% 0.21/0.58 % CPU time: 0.033135 seconds
% 0.21/0.58 % Memory used: 3.219 MB
%------------------------------------------------------------------------------