TSTP Solution File: LAT295+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT295+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:25:40 EDT 2024
% Result : Theorem 9.13s 2.78s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT295+3 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 20:22:48 EDT 2024
% 0.11/0.33 % CPUTime :
% 1.52/1.74 % Drodi V3.6.0
% 9.13/2.78 % Refutation found
% 9.13/2.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.13/2.78 % SZS output start CNFRefutation for theBenchmark
% 9.13/2.78 fof(f558,axiom,(
% 9.13/2.78 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r1_subset_1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f561,axiom,(
% 9.13/2.78 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r2_subset_1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f686,axiom,(
% 9.13/2.78 (? [A] :( ~ v1_xboole_0(A)& v1_relat_1(A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f1176,axiom,(
% 9.13/2.78 (? [A] :( v1_ordinal1(A)& v2_ordinal1(A)& v3_ordinal1(A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f1177,axiom,(
% 9.13/2.78 (? [A] :( v1_relat_1(A)& v1_funct_1(A)& v2_funct_1(A)& v1_xboole_0(A)& v1_ordinal1(A)& v2_ordinal1(A)& v3_ordinal1(A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f1251,axiom,(
% 9.13/2.78 (! [A,B] :( ( v3_ordinal1(A)& v3_ordinal1(B) )=> r1_ordinal1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f4814,axiom,(
% 9.13/2.78 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> r2_zfrefle1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f4815,axiom,(
% 9.13/2.78 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> r3_zfrefle1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f4816,axiom,(
% 9.13/2.78 (! [A,B] :( ( v3_ordinal1(A)& v3_ordinal1(B) )=> r4_zfrefle1(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f5990,axiom,(
% 9.13/2.78 (! [A,B] :( ( v1_relat_1(A)& v1_relat_1(B) )=> r1_rfinseq(A,A) ) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f13132,axiom,(
% 9.13/2.78 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> (! [E] :( m1_subset_1(E,u1_struct_0(B))=> (! [F] :( m1_subset_1(F,u1_struct_0(B))=> ( ( C = E& D = F )=> ( k1_lattices(A,C,D) = k1_lattices(B,E,F)& k2_lattices(A,C,D) = k2_lattices(B,E,F)& ( r1_lattices(A,C,D)=> r1_lattices(B,E,F) )& ( r1_lattices(B,E,F)=> r1_lattices(A,C,D) ) ) ) ) )) )) )) )) ) )) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f13583,conjecture,(
% 9.13/2.78 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> (! [E] :( m1_subset_1(E,u1_struct_0(B))=> (! [F] :( m1_subset_1(F,u1_struct_0(B))=> ( ( C = E& D = F )=> ( k1_lattices(A,C,D) = k1_lattices(B,E,F)& k2_lattices(A,C,D) = k2_lattices(B,E,F)& ( r1_lattices(A,C,D)=> r1_lattices(B,E,F) )& ( r1_lattices(B,E,F)=> r1_lattices(A,C,D) ) ) ) ) )) )) )) )) ) )) )),
% 9.13/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/2.78 fof(f13584,negated_conjecture,(
% 9.13/2.78 ~((! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> (! [E] :( m1_subset_1(E,u1_struct_0(B))=> (! [F] :( m1_subset_1(F,u1_struct_0(B))=> ( ( C = E& D = F )=> ( k1_lattices(A,C,D) = k1_lattices(B,E,F)& k2_lattices(A,C,D) = k2_lattices(B,E,F)& ( r1_lattices(A,C,D)=> r1_lattices(B,E,F) )& ( r1_lattices(B,E,F)=> r1_lattices(A,C,D) ) ) ) ) )) )) )) )) ) )) ))),
% 9.13/2.78 inference(negated_conjecture,[status(cth)],[f13583])).
% 9.13/2.78 fof(f14772,plain,(
% 9.13/2.78 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r1_subset_1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f558])).
% 9.13/2.78 fof(f14773,plain,(
% 9.13/2.78 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r1_subset_1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f14772])).
% 9.13/2.78 fof(f14774,plain,(
% 9.13/2.78 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r1_subset_1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f14773])).
% 9.13/2.78 fof(f14781,plain,(
% 9.13/2.78 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r2_subset_1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f561])).
% 9.13/2.78 fof(f14782,plain,(
% 9.13/2.78 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r2_subset_1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f14781])).
% 9.13/2.78 fof(f14783,plain,(
% 9.13/2.78 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r2_subset_1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f14782])).
% 9.13/2.78 fof(f15074,plain,(
% 9.13/2.78 (~v1_xboole_0(sk0_125)&v1_relat_1(sk0_125))),
% 9.13/2.78 inference(skolemization,[status(esa)],[f686])).
% 9.13/2.78 fof(f15075,plain,(
% 9.13/2.78 ~v1_xboole_0(sk0_125)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f15074])).
% 9.13/2.78 fof(f16406,plain,(
% 9.13/2.78 ((v1_ordinal1(sk0_240)&v2_ordinal1(sk0_240))&v3_ordinal1(sk0_240))),
% 9.13/2.78 inference(skolemization,[status(esa)],[f1176])).
% 9.13/2.78 fof(f16409,plain,(
% 9.13/2.78 v3_ordinal1(sk0_240)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f16406])).
% 9.13/2.78 fof(f16410,plain,(
% 9.13/2.78 ((((((v1_relat_1(sk0_241)&v1_funct_1(sk0_241))&v2_funct_1(sk0_241))&v1_xboole_0(sk0_241))&v1_ordinal1(sk0_241))&v2_ordinal1(sk0_241))&v3_ordinal1(sk0_241))),
% 9.13/2.78 inference(skolemization,[status(esa)],[f1177])).
% 9.13/2.78 fof(f16411,plain,(
% 9.13/2.78 v1_relat_1(sk0_241)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f16410])).
% 9.13/2.78 fof(f16650,plain,(
% 9.13/2.78 ![A,B]: ((~v3_ordinal1(A)|~v3_ordinal1(B))|r1_ordinal1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f1251])).
% 9.13/2.78 fof(f16651,plain,(
% 9.13/2.78 ![A]: ((~v3_ordinal1(A)|(![B]: ~v3_ordinal1(B)))|r1_ordinal1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f16650])).
% 9.13/2.78 fof(f16652,plain,(
% 9.13/2.78 ![X0,X1]: (~v3_ordinal1(X0)|~v3_ordinal1(X1)|r1_ordinal1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f16651])).
% 9.13/2.78 fof(f27852,plain,(
% 9.13/2.78 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|r2_zfrefle1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f4814])).
% 9.13/2.78 fof(f27853,plain,(
% 9.13/2.78 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|r2_zfrefle1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f27852])).
% 9.13/2.78 fof(f27854,plain,(
% 9.13/2.78 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|r2_zfrefle1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f27853])).
% 9.13/2.78 fof(f27855,plain,(
% 9.13/2.78 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|r3_zfrefle1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f4815])).
% 9.13/2.78 fof(f27856,plain,(
% 9.13/2.78 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|r3_zfrefle1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f27855])).
% 9.13/2.78 fof(f27857,plain,(
% 9.13/2.78 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|r3_zfrefle1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f27856])).
% 9.13/2.78 fof(f27858,plain,(
% 9.13/2.78 ![A,B]: ((~v3_ordinal1(A)|~v3_ordinal1(B))|r4_zfrefle1(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f4816])).
% 9.13/2.78 fof(f27859,plain,(
% 9.13/2.78 ![A]: ((~v3_ordinal1(A)|(![B]: ~v3_ordinal1(B)))|r4_zfrefle1(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f27858])).
% 9.13/2.78 fof(f27860,plain,(
% 9.13/2.78 ![X0,X1]: (~v3_ordinal1(X0)|~v3_ordinal1(X1)|r4_zfrefle1(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f27859])).
% 9.13/2.78 fof(f31645,plain,(
% 9.13/2.78 ![A,B]: ((~v1_relat_1(A)|~v1_relat_1(B))|r1_rfinseq(A,A))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f5990])).
% 9.13/2.78 fof(f31646,plain,(
% 9.13/2.78 ![A]: ((~v1_relat_1(A)|(![B]: ~v1_relat_1(B)))|r1_rfinseq(A,A))),
% 9.13/2.78 inference(miniscoping,[status(esa)],[f31645])).
% 9.13/2.78 fof(f31647,plain,(
% 9.13/2.78 ![X0,X1]: (~v1_relat_1(X0)|~v1_relat_1(X1)|r1_rfinseq(X0,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f31646])).
% 9.13/2.78 fof(f55595,plain,(
% 9.13/2.78 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(![B]: ((v3_struct_0(B)|~l3_lattices(B))|(~g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(![D]: (~m1_subset_1(D,u1_struct_0(A))|(![E]: (~m1_subset_1(E,u1_struct_0(B))|(![F]: (~m1_subset_1(F,u1_struct_0(B))|((~C=E|~D=F)|(((k1_lattices(A,C,D)=k1_lattices(B,E,F)&k2_lattices(A,C,D)=k2_lattices(B,E,F))&(~r1_lattices(A,C,D)|r1_lattices(B,E,F)))&(~r1_lattices(B,E,F)|r1_lattices(A,C,D))))))))))))))))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f13132])).
% 9.13/2.78 fof(f55596,plain,(
% 9.13/2.78 ![X0,X1,X2,X3,X4,X5]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X5,u1_struct_0(X1))|~X2=X4|~X3=X5|k1_lattices(X0,X2,X3)=k1_lattices(X1,X4,X5))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f55595])).
% 9.13/2.78 fof(f55597,plain,(
% 9.13/2.78 ![X0,X1,X2,X3,X4,X5]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X5,u1_struct_0(X1))|~X2=X4|~X3=X5|k2_lattices(X0,X2,X3)=k2_lattices(X1,X4,X5))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f55595])).
% 9.13/2.78 fof(f55598,plain,(
% 9.13/2.78 ![X0,X1,X2,X3,X4,X5]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X5,u1_struct_0(X1))|~X2=X4|~X3=X5|~r1_lattices(X0,X2,X3)|r1_lattices(X1,X4,X5))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f55595])).
% 9.13/2.78 fof(f57541,plain,(
% 9.13/2.78 (?[A]: ((~v3_struct_0(A)&l3_lattices(A))&(?[B]: ((~v3_struct_0(B)&l3_lattices(B))&(g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(?[D]: (m1_subset_1(D,u1_struct_0(A))&(?[E]: (m1_subset_1(E,u1_struct_0(B))&(?[F]: (m1_subset_1(F,u1_struct_0(B))&((C=E&D=F)&(((~k1_lattices(A,C,D)=k1_lattices(B,E,F)|~k2_lattices(A,C,D)=k2_lattices(B,E,F))|(r1_lattices(A,C,D)&~r1_lattices(B,E,F)))|(r1_lattices(B,E,F)&~r1_lattices(A,C,D)))))))))))))))))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f13584])).
% 9.13/2.78 fof(f57542,plain,(
% 9.13/2.78 ![A,B,C,D,E,F]: (pd0_322(F,E,D,C,B,A)=>(r1_lattices(A,C,D)&~r1_lattices(B,E,F)))),
% 9.13/2.78 introduced(predicate_definition,[f57541])).
% 9.13/2.78 fof(f57543,plain,(
% 9.13/2.78 ?[A]: ((~v3_struct_0(A)&l3_lattices(A))&(?[B]: ((~v3_struct_0(B)&l3_lattices(B))&(g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(?[D]: (m1_subset_1(D,u1_struct_0(A))&(?[E]: (m1_subset_1(E,u1_struct_0(B))&(?[F]: (m1_subset_1(F,u1_struct_0(B))&((C=E&D=F)&(((~k1_lattices(A,C,D)=k1_lattices(B,E,F)|~k2_lattices(A,C,D)=k2_lattices(B,E,F))|pd0_322(F,E,D,C,B,A))|(r1_lattices(B,E,F)&~r1_lattices(A,C,D))))))))))))))))),
% 9.13/2.78 inference(formula_renaming,[status(thm)],[f57541,f57542])).
% 9.13/2.78 fof(f57544,plain,(
% 9.13/2.78 ((~v3_struct_0(sk0_3966)&l3_lattices(sk0_3966))&((~v3_struct_0(sk0_3967)&l3_lattices(sk0_3967))&(g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(sk0_3967),u2_lattices(sk0_3967),u1_lattices(sk0_3967))&(m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))&(m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))&(m1_subset_1(sk0_3970,u1_struct_0(sk0_3967))&(m1_subset_1(sk0_3971,u1_struct_0(sk0_3967))&((sk0_3968=sk0_3970&sk0_3969=sk0_3971)&(((~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)|~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971))|pd0_322(sk0_3971,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966))|(r1_lattices(sk0_3967,sk0_3970,sk0_3971)&~r1_lattices(sk0_3966,sk0_3968,sk0_3969)))))))))))),
% 9.13/2.78 inference(skolemization,[status(esa)],[f57543])).
% 9.13/2.78 fof(f57545,plain,(
% 9.13/2.78 ~v3_struct_0(sk0_3966)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57546,plain,(
% 9.13/2.78 l3_lattices(sk0_3966)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57547,plain,(
% 9.13/2.78 ~v3_struct_0(sk0_3967)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57548,plain,(
% 9.13/2.78 l3_lattices(sk0_3967)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57549,plain,(
% 9.13/2.78 g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(sk0_3967),u2_lattices(sk0_3967),u1_lattices(sk0_3967))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57550,plain,(
% 9.13/2.78 m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57551,plain,(
% 9.13/2.78 m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57552,plain,(
% 9.13/2.78 m1_subset_1(sk0_3970,u1_struct_0(sk0_3967))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57553,plain,(
% 9.13/2.78 m1_subset_1(sk0_3971,u1_struct_0(sk0_3967))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57554,plain,(
% 9.13/2.78 sk0_3968=sk0_3970),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57555,plain,(
% 9.13/2.78 sk0_3969=sk0_3971),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57556,plain,(
% 9.13/2.78 ~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)|~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971)|pd0_322(sk0_3971,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966)|r1_lattices(sk0_3967,sk0_3970,sk0_3971)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f57557,plain,(
% 9.13/2.78 ~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)|~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971)|pd0_322(sk0_3971,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966)|~r1_lattices(sk0_3966,sk0_3968,sk0_3969)),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f57544])).
% 9.13/2.78 fof(f59443,plain,(
% 9.13/2.78 ![A,B,C,D,E,F]: (~pd0_322(F,E,D,C,B,A)|(r1_lattices(A,C,D)&~r1_lattices(B,E,F)))),
% 9.13/2.78 inference(pre_NNF_transformation,[status(esa)],[f57542])).
% 9.13/2.78 fof(f59444,plain,(
% 9.13/2.78 ![X0,X1,X2,X3,X4,X5]: (~pd0_322(X0,X1,X2,X3,X4,X5)|r1_lattices(X5,X3,X2))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f59443])).
% 9.13/2.78 fof(f59445,plain,(
% 9.13/2.78 ![X0,X1,X2,X3,X4,X5]: (~pd0_322(X0,X1,X2,X3,X4,X5)|~r1_lattices(X4,X1,X0))),
% 9.13/2.78 inference(cnf_transformation,[status(esa)],[f59443])).
% 9.13/2.78 fof(f59909,plain,(
% 9.13/2.78 spl0_13 <=> v1_xboole_0(X0)|~r1_subset_1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f59912,plain,(
% 9.13/2.78 spl0_14 <=> v1_xboole_0(X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f59913,plain,(
% 9.13/2.78 ![X0]: (v1_xboole_0(X0)|~spl0_14)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f59912])).
% 9.13/2.78 fof(f59915,plain,(
% 9.13/2.78 spl0_13|spl0_14),
% 9.13/2.78 inference(split_clause,[status(thm)],[f14774,f59909,f59912])).
% 9.13/2.78 fof(f59916,plain,(
% 9.13/2.78 spl0_15 <=> v1_xboole_0(X0)|~r2_subset_1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f59919,plain,(
% 9.13/2.78 spl0_15|spl0_14),
% 9.13/2.78 inference(split_clause,[status(thm)],[f14783,f59916,f59912])).
% 9.13/2.78 fof(f60050,plain,(
% 9.13/2.78 spl0_51 <=> ~v3_ordinal1(X0)|r1_ordinal1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f60053,plain,(
% 9.13/2.78 spl0_52 <=> ~v3_ordinal1(X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f60054,plain,(
% 9.13/2.78 ![X0]: (~v3_ordinal1(X0)|~spl0_52)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f60053])).
% 9.13/2.78 fof(f60056,plain,(
% 9.13/2.78 spl0_51|spl0_52),
% 9.13/2.78 inference(split_clause,[status(thm)],[f16652,f60050,f60053])).
% 9.13/2.78 fof(f61902,plain,(
% 9.13/2.78 spl0_539 <=> v1_xboole_0(X0)|r2_zfrefle1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f61905,plain,(
% 9.13/2.78 spl0_539|spl0_14),
% 9.13/2.78 inference(split_clause,[status(thm)],[f27854,f61902,f59912])).
% 9.13/2.78 fof(f61906,plain,(
% 9.13/2.78 spl0_540 <=> v1_xboole_0(X0)|r3_zfrefle1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f61909,plain,(
% 9.13/2.78 spl0_540|spl0_14),
% 9.13/2.78 inference(split_clause,[status(thm)],[f27857,f61906,f59912])).
% 9.13/2.78 fof(f61910,plain,(
% 9.13/2.78 spl0_541 <=> ~v3_ordinal1(X0)|r4_zfrefle1(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f61913,plain,(
% 9.13/2.78 spl0_541|spl0_52),
% 9.13/2.78 inference(split_clause,[status(thm)],[f27860,f61910,f60053])).
% 9.13/2.78 fof(f62701,plain,(
% 9.13/2.78 spl0_748 <=> ~v1_relat_1(X0)|r1_rfinseq(X0,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f62704,plain,(
% 9.13/2.78 spl0_749 <=> ~v1_relat_1(X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f62705,plain,(
% 9.13/2.78 ![X0]: (~v1_relat_1(X0)|~spl0_749)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f62704])).
% 9.13/2.78 fof(f62707,plain,(
% 9.13/2.78 spl0_748|spl0_749),
% 9.13/2.78 inference(split_clause,[status(thm)],[f31647,f62701,f62704])).
% 9.13/2.78 fof(f63480,plain,(
% 9.13/2.78 spl0_955 <=> k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f63481,plain,(
% 9.13/2.78 k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)|~spl0_955),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63480])).
% 9.13/2.78 fof(f63482,plain,(
% 9.13/2.78 ~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3970,sk0_3971)|spl0_955),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63480])).
% 9.13/2.78 fof(f63483,plain,(
% 9.13/2.78 spl0_956 <=> k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f63484,plain,(
% 9.13/2.78 k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971)|~spl0_956),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63483])).
% 9.13/2.78 fof(f63485,plain,(
% 9.13/2.78 ~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3970,sk0_3971)|spl0_956),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63483])).
% 9.13/2.78 fof(f63486,plain,(
% 9.13/2.78 spl0_957 <=> pd0_322(sk0_3971,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f63487,plain,(
% 9.13/2.78 pd0_322(sk0_3971,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966)|~spl0_957),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63486])).
% 9.13/2.78 fof(f63489,plain,(
% 9.13/2.78 spl0_958 <=> r1_lattices(sk0_3967,sk0_3970,sk0_3971)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f63490,plain,(
% 9.13/2.78 r1_lattices(sk0_3967,sk0_3970,sk0_3971)|~spl0_958),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63489])).
% 9.13/2.78 fof(f63492,plain,(
% 9.13/2.78 ~spl0_955|~spl0_956|spl0_957|spl0_958),
% 9.13/2.78 inference(split_clause,[status(thm)],[f57556,f63480,f63483,f63486,f63489])).
% 9.13/2.78 fof(f63493,plain,(
% 9.13/2.78 spl0_959 <=> r1_lattices(sk0_3966,sk0_3968,sk0_3969)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f63495,plain,(
% 9.13/2.78 ~r1_lattices(sk0_3966,sk0_3968,sk0_3969)|spl0_959),
% 9.13/2.78 inference(component_clause,[status(thm)],[f63493])).
% 9.13/2.78 fof(f63496,plain,(
% 9.13/2.78 ~spl0_955|~spl0_956|spl0_957|~spl0_959),
% 9.13/2.78 inference(split_clause,[status(thm)],[f57557,f63480,f63483,f63486,f63493])).
% 9.13/2.78 fof(f66968,plain,(
% 9.13/2.78 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|k1_lattices(X0,X2,X3)=k1_lattices(X1,X2,X3))),
% 9.13/2.78 inference(destructive_equality_resolution,[status(esa)],[f55596])).
% 9.13/2.78 fof(f66969,plain,(
% 9.13/2.78 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|k2_lattices(X0,X2,X3)=k2_lattices(X1,X2,X3))),
% 9.13/2.78 inference(destructive_equality_resolution,[status(esa)],[f55597])).
% 9.13/2.78 fof(f66970,plain,(
% 9.13/2.78 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~r1_lattices(X0,X2,X3)|r1_lattices(X1,X2,X3))),
% 9.13/2.78 inference(destructive_equality_resolution,[status(esa)],[f55598])).
% 9.13/2.78 fof(f67248,plain,(
% 9.13/2.78 m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f57552])).
% 9.13/2.78 fof(f67249,plain,(
% 9.13/2.78 m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f57553])).
% 9.13/2.78 fof(f67313,plain,(
% 9.13/2.78 ~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3968,sk0_3971)|spl0_956),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f63485])).
% 9.13/2.78 fof(f67314,plain,(
% 9.13/2.78 ~k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3968,sk0_3969)|spl0_956),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f67313])).
% 9.13/2.78 fof(f67318,plain,(
% 9.13/2.78 pd0_322(sk0_3969,sk0_3970,sk0_3969,sk0_3968,sk0_3967,sk0_3966)|~spl0_957),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f63487])).
% 9.13/2.78 fof(f67319,plain,(
% 9.13/2.78 pd0_322(sk0_3969,sk0_3968,sk0_3969,sk0_3968,sk0_3967,sk0_3966)|~spl0_957),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f67318])).
% 9.13/2.78 fof(f67320,plain,(
% 9.13/2.78 ~r1_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_957),
% 9.13/2.78 inference(resolution,[status(thm)],[f67319,f59445])).
% 9.13/2.78 fof(f67321,plain,(
% 9.13/2.78 r1_lattices(sk0_3966,sk0_3968,sk0_3969)|~spl0_957),
% 9.13/2.78 inference(resolution,[status(thm)],[f67319,f59444])).
% 9.13/2.78 fof(f67322,plain,(
% 9.13/2.78 $false|spl0_959|~spl0_957),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67321,f63495])).
% 9.13/2.78 fof(f67323,plain,(
% 9.13/2.78 spl0_959|~spl0_957),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67322])).
% 9.13/2.78 fof(f67326,plain,(
% 9.13/2.78 ~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3968,sk0_3971)|spl0_955),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f63482])).
% 9.13/2.78 fof(f67327,plain,(
% 9.13/2.78 ~k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3968,sk0_3969)|spl0_955),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f67326])).
% 9.13/2.78 fof(f67383,plain,(
% 9.13/2.78 spl0_1226 <=> g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67385,plain,(
% 9.13/2.78 ~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))|spl0_1226),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67383])).
% 9.13/2.78 fof(f67421,plain,(
% 9.13/2.78 spl0_1231 <=> v3_struct_0(sk0_3966)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67422,plain,(
% 9.13/2.78 v3_struct_0(sk0_3966)|~spl0_1231),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67421])).
% 9.13/2.78 fof(f67424,plain,(
% 9.13/2.78 spl0_1232 <=> l3_lattices(sk0_3966)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67426,plain,(
% 9.13/2.78 ~l3_lattices(sk0_3966)|spl0_1232),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67424])).
% 9.13/2.78 fof(f67427,plain,(
% 9.13/2.78 spl0_1233 <=> v3_struct_0(sk0_3967)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67428,plain,(
% 9.13/2.78 v3_struct_0(sk0_3967)|~spl0_1233),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67427])).
% 9.13/2.78 fof(f67430,plain,(
% 9.13/2.78 spl0_1234 <=> l3_lattices(sk0_3967)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67432,plain,(
% 9.13/2.78 ~l3_lattices(sk0_3967)|spl0_1234),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67430])).
% 9.13/2.78 fof(f67433,plain,(
% 9.13/2.78 spl0_1235 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k1_lattices(sk0_3966,X0,X1)=k1_lattices(sk0_3967,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67434,plain,(
% 9.13/2.78 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k1_lattices(sk0_3966,X0,X1)=k1_lattices(sk0_3967,X0,X1)|~spl0_1235)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67433])).
% 9.13/2.78 fof(f67436,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3966)|~l3_lattices(sk0_3966)|v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k1_lattices(sk0_3966,X0,X1)=k1_lattices(sk0_3967,X0,X1))),
% 9.13/2.78 inference(resolution,[status(thm)],[f66968,f57549])).
% 9.13/2.78 fof(f67437,plain,(
% 9.13/2.78 spl0_1231|~spl0_1232|spl0_1233|~spl0_1234|spl0_1235),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67436,f67421,f67424,f67427,f67430,f67433])).
% 9.13/2.78 fof(f67440,plain,(
% 9.13/2.78 spl0_1236 <=> v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k1_lattices(sk0_3967,X1,X2)=k1_lattices(X0,X1,X2)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67441,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k1_lattices(sk0_3967,X1,X2)=k1_lattices(X0,X1,X2)|~spl0_1236)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67440])).
% 9.13/2.78 fof(f67443,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k1_lattices(sk0_3967,X1,X2)=k1_lattices(X0,X1,X2))),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f57549,f66968])).
% 9.13/2.78 fof(f67444,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1236),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67443,f67427,f67430,f67440])).
% 9.13/2.78 fof(f67447,plain,(
% 9.13/2.78 $false|spl0_1232),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67426,f57546])).
% 9.13/2.78 fof(f67448,plain,(
% 9.13/2.78 spl0_1232),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67447])).
% 9.13/2.78 fof(f67449,plain,(
% 9.13/2.78 $false|spl0_1234),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67432,f57548])).
% 9.13/2.78 fof(f67450,plain,(
% 9.13/2.78 spl0_1234),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67449])).
% 9.13/2.78 fof(f67451,plain,(
% 9.13/2.78 $false|~spl0_1233),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67428,f57547])).
% 9.13/2.78 fof(f67452,plain,(
% 9.13/2.78 ~spl0_1233),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67451])).
% 9.13/2.78 fof(f67453,plain,(
% 9.13/2.78 $false|~spl0_1231),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67422,f57545])).
% 9.13/2.78 fof(f67454,plain,(
% 9.13/2.78 ~spl0_1231),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67453])).
% 9.13/2.78 fof(f67455,plain,(
% 9.13/2.78 spl0_1237 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k2_lattices(sk0_3966,X0,X1)=k2_lattices(sk0_3967,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67456,plain,(
% 9.13/2.78 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k2_lattices(sk0_3966,X0,X1)=k2_lattices(sk0_3967,X0,X1)|~spl0_1237)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67455])).
% 9.13/2.78 fof(f67458,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3966)|~l3_lattices(sk0_3966)|v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k2_lattices(sk0_3966,X0,X1)=k2_lattices(sk0_3967,X0,X1))),
% 9.13/2.78 inference(resolution,[status(thm)],[f66969,f57549])).
% 9.13/2.78 fof(f67459,plain,(
% 9.13/2.78 spl0_1231|~spl0_1232|spl0_1233|~spl0_1234|spl0_1237),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67458,f67421,f67424,f67427,f67430,f67455])).
% 9.13/2.78 fof(f67462,plain,(
% 9.13/2.78 spl0_1238 <=> v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k2_lattices(sk0_3967,X1,X2)=k2_lattices(X0,X1,X2)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67463,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k2_lattices(sk0_3967,X1,X2)=k2_lattices(X0,X1,X2)|~spl0_1238)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67462])).
% 9.13/2.78 fof(f67465,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k2_lattices(sk0_3967,X1,X2)=k2_lattices(X0,X1,X2))),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f57549,f66969])).
% 9.13/2.78 fof(f67466,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1238),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67465,f67427,f67430,f67462])).
% 9.13/2.78 fof(f67469,plain,(
% 9.13/2.78 spl0_1239 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,X1)|r1_lattices(sk0_3967,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67470,plain,(
% 9.13/2.78 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,X1)|r1_lattices(sk0_3967,X0,X1)|~spl0_1239)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67469])).
% 9.13/2.78 fof(f67472,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3966)|~l3_lattices(sk0_3966)|v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,X1)|r1_lattices(sk0_3967,X0,X1))),
% 9.13/2.78 inference(resolution,[status(thm)],[f66970,f57549])).
% 9.13/2.78 fof(f67473,plain,(
% 9.13/2.78 spl0_1231|~spl0_1232|spl0_1233|~spl0_1234|spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67472,f67421,f67424,f67427,f67430,f67469])).
% 9.13/2.78 fof(f67474,plain,(
% 9.13/2.78 spl0_1240 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,X1)|r1_lattices(sk0_3966,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67475,plain,(
% 9.13/2.78 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,X1)|r1_lattices(sk0_3966,X0,X1)|~spl0_1240)),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67474])).
% 9.13/2.78 fof(f67477,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|v3_struct_0(sk0_3966)|~l3_lattices(sk0_3966)|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X1,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,X1)|r1_lattices(sk0_3966,X0,X1))),
% 9.13/2.78 inference(resolution,[status(thm)],[f66970,f57549])).
% 9.13/2.78 fof(f67478,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1231|~spl0_1232|spl0_1240),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67477,f67427,f67430,f67421,f67424,f67474])).
% 9.13/2.78 fof(f67479,plain,(
% 9.13/2.78 spl0_1241 <=> v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~r1_lattices(sk0_3967,X1,X2)|r1_lattices(X0,X1,X2)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67482,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~r1_lattices(sk0_3967,X1,X2)|r1_lattices(X0,X1,X2))),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f57549,f66970])).
% 9.13/2.78 fof(f67483,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1241),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67482,f67427,f67430,f67479])).
% 9.13/2.78 fof(f67484,plain,(
% 9.13/2.78 spl0_1242 <=> v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~r1_lattices(X0,X1,X2)|r1_lattices(sk0_3967,X1,X2)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67487,plain,(
% 9.13/2.78 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|~r1_lattices(X0,X1,X2)|r1_lattices(sk0_3967,X1,X2))),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f57549,f66970])).
% 9.13/2.78 fof(f67488,plain,(
% 9.13/2.78 spl0_1242|spl0_1233|~spl0_1234),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67487,f67484,f67427,f67430])).
% 9.13/2.78 fof(f67561,plain,(
% 9.13/2.78 $false|~spl0_14),
% 9.13/2.78 inference(backward_subsumption_resolution,[status(thm)],[f15075,f59913])).
% 9.13/2.78 fof(f67562,plain,(
% 9.13/2.78 ~spl0_14),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67561])).
% 9.13/2.78 fof(f67612,plain,(
% 9.13/2.78 $false|spl0_1226),
% 9.13/2.78 inference(trivial_equality_resolution,[status(esa)],[f67385])).
% 9.13/2.78 fof(f67613,plain,(
% 9.13/2.78 spl0_1226),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67612])).
% 9.13/2.78 fof(f67635,plain,(
% 9.13/2.78 $false|~spl0_52),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f16409,f60054])).
% 9.13/2.78 fof(f67636,plain,(
% 9.13/2.78 ~spl0_52),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67635])).
% 9.13/2.78 fof(f67668,plain,(
% 9.13/2.78 spl0_1251 <=> m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67670,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|spl0_1251),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67668])).
% 9.13/2.78 fof(f67671,plain,(
% 9.13/2.78 spl0_1252 <=> m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67673,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|spl0_1252),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67671])).
% 9.13/2.78 fof(f67674,plain,(
% 9.13/2.78 spl0_1253 <=> m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67676,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|spl0_1253),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67674])).
% 9.13/2.78 fof(f67677,plain,(
% 9.13/2.78 spl0_1254 <=> m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67679,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|spl0_1254),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67677])).
% 9.13/2.78 fof(f67680,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|~spl0_1235|spl0_955),
% 9.13/2.78 inference(resolution,[status(thm)],[f67434,f67327])).
% 9.13/2.78 fof(f67681,plain,(
% 9.13/2.78 ~spl0_1251|~spl0_1252|~spl0_1253|~spl0_1254|~spl0_1235|spl0_955),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67680,f67668,f67671,f67674,f67677,f67433,f63480])).
% 9.13/2.78 fof(f67682,plain,(
% 9.13/2.78 $false|spl0_1252),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67673,f57551])).
% 9.13/2.78 fof(f67683,plain,(
% 9.13/2.78 spl0_1252),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67682])).
% 9.13/2.78 fof(f67684,plain,(
% 9.13/2.78 $false|spl0_1251),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67670,f57550])).
% 9.13/2.78 fof(f67685,plain,(
% 9.13/2.78 spl0_1251),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67684])).
% 9.13/2.78 fof(f67686,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|~spl0_1237|spl0_956),
% 9.13/2.78 inference(resolution,[status(thm)],[f67456,f67314])).
% 9.13/2.78 fof(f67687,plain,(
% 9.13/2.78 ~spl0_1251|~spl0_1252|~spl0_1253|~spl0_1254|~spl0_1237|spl0_956),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67686,f67668,f67671,f67674,f67677,f67455,f63483])).
% 9.13/2.78 fof(f67688,plain,(
% 9.13/2.78 r1_lattices(sk0_3967,sk0_3968,sk0_3971)|~spl0_958),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f63490])).
% 9.13/2.78 fof(f67689,plain,(
% 9.13/2.78 r1_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_958),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f67688])).
% 9.13/2.78 fof(f67693,plain,(
% 9.13/2.78 spl0_1255 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,sk0_3969)|r1_lattices(sk0_3967,X0,sk0_3969)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67696,plain,(
% 9.13/2.78 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,sk0_3969)|r1_lattices(sk0_3967,X0,sk0_3969)|~spl0_1239)),
% 9.13/2.78 inference(resolution,[status(thm)],[f67470,f57551])).
% 9.13/2.78 fof(f67697,plain,(
% 9.13/2.78 spl0_1255|~spl0_1254|~spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67696,f67693,f67677,f67469])).
% 9.13/2.78 fof(f67698,plain,(
% 9.13/2.78 spl0_1256 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,sk0_3968)|r1_lattices(sk0_3967,X0,sk0_3968)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67701,plain,(
% 9.13/2.78 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,X0,sk0_3968)|r1_lattices(sk0_3967,X0,sk0_3968)|~spl0_1239)),
% 9.13/2.78 inference(resolution,[status(thm)],[f67470,f57550])).
% 9.13/2.78 fof(f67702,plain,(
% 9.13/2.78 spl0_1256|~spl0_1253|~spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67701,f67698,f67674,f67469])).
% 9.13/2.78 fof(f67709,plain,(
% 9.13/2.78 $false|~spl0_749),
% 9.13/2.78 inference(backward_subsumption_resolution,[status(thm)],[f16411,f62705])).
% 9.13/2.78 fof(f67710,plain,(
% 9.13/2.78 ~spl0_749),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67709])).
% 9.13/2.78 fof(f67711,plain,(
% 9.13/2.78 $false|spl0_1254),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67249,f67679])).
% 9.13/2.78 fof(f67712,plain,(
% 9.13/2.78 spl0_1254),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67711])).
% 9.13/2.78 fof(f67713,plain,(
% 9.13/2.78 $false|spl0_1253),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67248,f67676])).
% 9.13/2.78 fof(f67714,plain,(
% 9.13/2.78 spl0_1253),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67713])).
% 9.13/2.78 fof(f67715,plain,(
% 9.13/2.78 k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3968,sk0_3971)|~spl0_955),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f63481])).
% 9.13/2.78 fof(f67716,plain,(
% 9.13/2.78 k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_955),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f67715])).
% 9.13/2.78 fof(f67717,plain,(
% 9.13/2.78 k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3968,sk0_3971)|~spl0_956),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57554,f63484])).
% 9.13/2.78 fof(f67718,plain,(
% 9.13/2.78 k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_956),
% 9.13/2.78 inference(forward_demodulation,[status(thm)],[f57555,f67717])).
% 9.13/2.78 fof(f67741,plain,(
% 9.13/2.78 spl0_1261 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,sk0_3969,X0)|r1_lattices(sk0_3967,sk0_3969,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67744,plain,(
% 9.13/2.78 ![X0]: (~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,sk0_3969,X0)|r1_lattices(sk0_3967,sk0_3969,X0)|~spl0_1239)),
% 9.13/2.78 inference(resolution,[status(thm)],[f67249,f67470])).
% 9.13/2.78 fof(f67745,plain,(
% 9.13/2.78 ~spl0_1252|spl0_1261|~spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67744,f67671,f67741,f67469])).
% 9.13/2.78 fof(f67762,plain,(
% 9.13/2.78 spl0_1264 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,sk0_3968,X0)|r1_lattices(sk0_3967,sk0_3968,X0)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67765,plain,(
% 9.13/2.78 ![X0]: (~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~r1_lattices(sk0_3966,sk0_3968,X0)|r1_lattices(sk0_3967,sk0_3968,X0)|~spl0_1239)),
% 9.13/2.78 inference(resolution,[status(thm)],[f67248,f67470])).
% 9.13/2.78 fof(f67766,plain,(
% 9.13/2.78 ~spl0_1251|spl0_1264|~spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67765,f67668,f67762,f67469])).
% 9.13/2.78 fof(f67767,plain,(
% 9.13/2.78 spl0_1265 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k2_lattices(sk0_3967,X0,X1)=k2_lattices(sk0_3967,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67770,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k2_lattices(sk0_3967,X0,X1)=k2_lattices(sk0_3967,X0,X1)|~spl0_1238)),
% 9.13/2.78 inference(resolution,[status(thm)],[f57549,f67463])).
% 9.13/2.78 fof(f67771,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1265|~spl0_1238),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67770,f67427,f67430,f67767,f67462])).
% 9.13/2.78 fof(f67772,plain,(
% 9.13/2.78 spl0_1266 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k1_lattices(sk0_3967,X0,X1)=k1_lattices(sk0_3967,X0,X1)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67775,plain,(
% 9.13/2.78 ![X0,X1]: (v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|k1_lattices(sk0_3967,X0,X1)=k1_lattices(sk0_3967,X0,X1)|~spl0_1236)),
% 9.13/2.78 inference(resolution,[status(thm)],[f57549,f67441])).
% 9.13/2.78 fof(f67776,plain,(
% 9.13/2.78 spl0_1233|~spl0_1234|spl0_1266|~spl0_1236),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67775,f67427,f67430,f67772,f67440])).
% 9.13/2.78 fof(f67854,plain,(
% 9.13/2.78 spl0_1267 <=> r1_lattices(sk0_3967,sk0_3968,sk0_3969)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67855,plain,(
% 9.13/2.78 r1_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_1267),
% 9.13/2.78 inference(component_clause,[status(thm)],[f67854])).
% 9.13/2.78 fof(f67857,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|r1_lattices(sk0_3967,sk0_3968,sk0_3969)|~spl0_957|~spl0_1239),
% 9.13/2.78 inference(resolution,[status(thm)],[f67321,f67470])).
% 9.13/2.78 fof(f67858,plain,(
% 9.13/2.78 ~spl0_1251|~spl0_1252|~spl0_1253|~spl0_1254|spl0_1267|~spl0_957|~spl0_1239),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67857,f67668,f67671,f67674,f67677,f67854,f63486,f67469])).
% 9.13/2.78 fof(f67859,plain,(
% 9.13/2.78 $false|~spl0_957|~spl0_1267),
% 9.13/2.78 inference(forward_subsumption_resolution,[status(thm)],[f67855,f67320])).
% 9.13/2.78 fof(f67860,plain,(
% 9.13/2.78 ~spl0_957|~spl0_1267),
% 9.13/2.78 inference(contradiction_clause,[status(thm)],[f67859])).
% 9.13/2.78 fof(f67861,plain,(
% 9.13/2.78 spl0_1268 <=> k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3966,sk0_3968,sk0_3969)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67864,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|k1_lattices(sk0_3966,sk0_3968,sk0_3969)=k1_lattices(sk0_3966,sk0_3968,sk0_3969)|~spl0_1235|~spl0_955),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f67716,f67434])).
% 9.13/2.78 fof(f67865,plain,(
% 9.13/2.78 ~spl0_1251|~spl0_1252|~spl0_1253|~spl0_1254|spl0_1268|~spl0_1235|~spl0_955),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67864,f67668,f67671,f67674,f67677,f67861,f67433,f63480])).
% 9.13/2.78 fof(f67901,plain,(
% 9.13/2.78 spl0_1274 <=> k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3966,sk0_3968,sk0_3969)),
% 9.13/2.78 introduced(split_symbol_definition)).
% 9.13/2.78 fof(f67904,plain,(
% 9.13/2.78 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|k2_lattices(sk0_3966,sk0_3968,sk0_3969)=k2_lattices(sk0_3966,sk0_3968,sk0_3969)|~spl0_1237|~spl0_956),
% 9.13/2.78 inference(paramodulation,[status(thm)],[f67718,f67456])).
% 9.13/2.78 fof(f67905,plain,(
% 9.13/2.78 ~spl0_1251|~spl0_1252|~spl0_1253|~spl0_1254|spl0_1274|~spl0_1237|~spl0_956),
% 9.13/2.78 inference(split_clause,[status(thm)],[f67904,f67668,f67671,f67674,f67677,f67901,f67455,f63483])).
% 9.13/2.78 fof(f67963,plain,(
% 9.13/2.78 spl0_1278 <=> v3_struct_0(X0)|~l3_lattices(X0)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|k1_lattices(X0,X1,X2)=k1_lattices(sk0_3967,X1,X2)),
% 10.36/2.99 introduced(split_symbol_definition)).
% 10.36/2.99 fof(f67966,plain,(
% 10.36/2.99 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|v3_struct_0(sk0_3967)|~l3_lattices(sk0_3967)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(sk0_3966),u2_lattices(sk0_3966),u1_lattices(sk0_3966))|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X1,u1_struct_0(sk0_3967))|~m1_subset_1(X2,u1_struct_0(sk0_3967))|k1_lattices(X0,X1,X2)=k1_lattices(sk0_3967,X1,X2))),
% 10.36/2.99 inference(paramodulation,[status(thm)],[f57549,f66968])).
% 10.36/2.99 fof(f67967,plain,(
% 10.36/2.99 spl0_1278|spl0_1233|~spl0_1234),
% 10.36/2.99 inference(split_clause,[status(thm)],[f67966,f67963,f67427,f67430])).
% 10.36/2.99 fof(f68019,plain,(
% 10.36/2.99 spl0_1279 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,sk0_3969)|r1_lattices(sk0_3966,X0,sk0_3969)),
% 10.36/2.99 introduced(split_symbol_definition)).
% 10.36/2.99 fof(f68022,plain,(
% 10.36/2.99 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,sk0_3969)|r1_lattices(sk0_3966,X0,sk0_3969)|~spl0_1240)),
% 10.36/2.99 inference(resolution,[status(thm)],[f67475,f67249])).
% 10.36/2.99 fof(f68023,plain,(
% 10.36/2.99 spl0_1279|~spl0_1252|~spl0_1240),
% 10.36/2.99 inference(split_clause,[status(thm)],[f68022,f68019,f67671,f67474])).
% 10.36/2.99 fof(f68024,plain,(
% 10.36/2.99 spl0_1280 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,sk0_3968)|r1_lattices(sk0_3966,X0,sk0_3968)),
% 10.36/2.99 introduced(split_symbol_definition)).
% 10.36/2.99 fof(f68027,plain,(
% 10.36/2.99 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_3967))|~m1_subset_1(X0,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~r1_lattices(sk0_3967,X0,sk0_3968)|r1_lattices(sk0_3966,X0,sk0_3968)|~spl0_1240)),
% 10.36/2.99 inference(resolution,[status(thm)],[f67475,f67248])).
% 10.36/2.99 fof(f68028,plain,(
% 10.36/2.99 spl0_1280|~spl0_1251|~spl0_1240),
% 10.36/2.99 inference(split_clause,[status(thm)],[f68027,f68024,f67668,f67474])).
% 10.36/2.99 fof(f68029,plain,(
% 10.36/2.99 ~m1_subset_1(sk0_3968,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3967))|~m1_subset_1(sk0_3968,u1_struct_0(sk0_3966))|~m1_subset_1(sk0_3969,u1_struct_0(sk0_3966))|r1_lattices(sk0_3966,sk0_3968,sk0_3969)|~spl0_1240|~spl0_958),
% 10.36/2.99 inference(resolution,[status(thm)],[f67475,f67689])).
% 10.36/2.99 fof(f68030,plain,(
% 10.36/2.99 ~spl0_1253|~spl0_1254|~spl0_1251|~spl0_1252|spl0_959|~spl0_1240|~spl0_958),
% 10.36/2.99 inference(split_clause,[status(thm)],[f68029,f67674,f67677,f67668,f67671,f63493,f67474,f63489])).
% 10.36/2.99 fof(f68037,plain,(
% 10.36/2.99 $false),
% 10.36/2.99 inference(sat_refutation,[status(thm)],[f59915,f59919,f60056,f61905,f61909,f61913,f62707,f63492,f63496,f67323,f67437,f67444,f67448,f67450,f67452,f67454,f67459,f67466,f67473,f67478,f67483,f67488,f67562,f67613,f67636,f67681,f67683,f67685,f67687,f67697,f67702,f67710,f67712,f67714,f67745,f67766,f67771,f67776,f67858,f67860,f67865,f67905,f67967,f68023,f68028,f68030])).
% 10.36/2.99 % SZS output end CNFRefutation for theBenchmark.p
% 11.49/3.11 % Elapsed time: 2.725957 seconds
% 11.49/3.11 % CPU time: 10.152217 seconds
% 11.49/3.11 % Total memory used: 3.721 GB
% 11.49/3.11 % Net memory used: 3.703 GB
%------------------------------------------------------------------------------