TSTP Solution File: LAT353+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:17:44 EDT 2023
% Result : Theorem 2.80s 0.76s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT353+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n005.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:21:36 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 2.80/0.76 % Refutation found
% 2.80/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.80/0.76 % SZS output start CNFRefutation for theBenchmark
% 2.80/0.76 fof(f1,conjecture,(
% 2.80/0.76 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v2_lattice3(A)& v3_lattice3(A)& l1_orders_2(A) )=> (! [B] :( ( v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& v3_lattice3(B)& l1_orders_2(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))& v18_waybel_0(C,B,A)& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> k7_yellow_2(u1_struct_0(A),B,k2_waybel34(A,B,C),D) = k1_yellow_0(B,k5_pre_topc(B,A,C,k6_waybel_0(A,D))) ) )) )) )) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f2,negated_conjecture,(
% 2.80/0.76 ~((! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v2_lattice3(A)& v3_lattice3(A)& l1_orders_2(A) )=> (! [B] :( ( v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& v3_lattice3(B)& l1_orders_2(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))& v18_waybel_0(C,B,A)& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> k7_yellow_2(u1_struct_0(A),B,k2_waybel34(A,B,C),D) = k1_yellow_0(B,k5_pre_topc(B,A,C,k6_waybel_0(A,D))) ) )) )) )) ))),
% 2.80/0.76 inference(negated_conjecture,[status(cth)],[f1])).
% 2.80/0.76 fof(f33,axiom,(
% 2.80/0.76 (! [A] :( l1_orders_2(A)=> ( v2_lattice3(A)=> ~ v3_struct_0(A) ) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f45,axiom,(
% 2.80/0.76 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v2_lattice3(A)& l1_orders_2(A) )=> (! [B] :( ( v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& l1_orders_2(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )=> ( ( v3_lattice3(A)& v3_lattice3(B)& v18_waybel_0(C,B,A) )=> (! [D] :( ( v1_funct_1(D)& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )=> ( D = k2_waybel34(A,B,C)<=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) )) ) )) )) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f47,axiom,(
% 2.80/0.76 (! [A] :( ( ~ v3_struct_0(A)& l1_orders_2(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( r4_waybel_1(A,B,C)<=> ( r1_yellow_0(A,C)& B = k1_yellow_0(A,C)& r2_hidden(k1_yellow_0(A,C),C) ) ) )) )) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f57,axiom,(
% 2.80/0.76 (! [A,B,C] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v2_lattice3(A)& l1_orders_2(A)& v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& l1_orders_2(B)& v1_funct_1(C)& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))& m1_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )=> ( v1_funct_1(k2_waybel34(A,B,C))& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))& m2_relset_1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f63,axiom,(
% 2.80/0.76 (! [A,B,C,D] :( ( ~ v1_xboole_0(A)& ~ v3_struct_0(B)& l1_struct_0(B)& v1_funct_1(C)& v1_funct_2(C,A,u1_struct_0(B))& m1_relset_1(C,A,u1_struct_0(B))& m1_subset_1(D,A) )=> m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f64,axiom,(
% 2.80/0.76 (! [A] :( l1_orders_2(A)=> l1_struct_0(A) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f89,axiom,(
% 2.80/0.76 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f122,axiom,(
% 2.80/0.76 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 2.80/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.76 fof(f124,axiom,(
% 2.80/0.76 (! [A] :( ( ~ v3_struct_0(A)& v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& l1_orders_2(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> (! [D] :( ( v1_funct_1(D)& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )=> ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)<=> ( v5_orders_3(D,B,A)& (! [E] :( m1_subset_1(E,u1_struct_0(A))=> r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,E),k5_pre_topc(B,A,D,k6_waybel_0(A,E))) ) )) ) ) )) )) )) )),
% 2.80/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.80/0.77 fof(f133,plain,(
% 2.80/0.77 (?[A]: (((((((v2_orders_2(A)&v3_orders_2(A))&v4_orders_2(A))&v1_lattice3(A))&v2_lattice3(A))&v3_lattice3(A))&l1_orders_2(A))&(?[B]: (((((((v2_orders_2(B)&v3_orders_2(B))&v4_orders_2(B))&v1_lattice3(B))&v2_lattice3(B))&v3_lattice3(B))&l1_orders_2(B))&(?[C]: ((((v1_funct_1(C)&v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)))&v18_waybel_0(C,B,A))&m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)))&(?[D]: (m1_subset_1(D,u1_struct_0(A))&~k7_yellow_2(u1_struct_0(A),B,k2_waybel34(A,B,C),D)=k1_yellow_0(B,k5_pre_topc(B,A,C,k6_waybel_0(A,D)))))))))))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.80/0.77 fof(f134,plain,(
% 2.80/0.77 (((((((v2_orders_2(sk0_0)&v3_orders_2(sk0_0))&v4_orders_2(sk0_0))&v1_lattice3(sk0_0))&v2_lattice3(sk0_0))&v3_lattice3(sk0_0))&l1_orders_2(sk0_0))&(((((((v2_orders_2(sk0_1)&v3_orders_2(sk0_1))&v4_orders_2(sk0_1))&v1_lattice3(sk0_1))&v2_lattice3(sk0_1))&v3_lattice3(sk0_1))&l1_orders_2(sk0_1))&((((v1_funct_1(sk0_2)&v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0)))&v18_waybel_0(sk0_2,sk0_1,sk0_0))&m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0)))&(m1_subset_1(sk0_3,u1_struct_0(sk0_0))&~k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),sk0_3)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,sk0_3)))))))),
% 2.80/0.77 inference(skolemization,[status(esa)],[f133])).
% 2.80/0.77 fof(f135,plain,(
% 2.80/0.77 v2_orders_2(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f136,plain,(
% 2.80/0.77 v3_orders_2(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f137,plain,(
% 2.80/0.77 v4_orders_2(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f138,plain,(
% 2.80/0.77 v1_lattice3(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f139,plain,(
% 2.80/0.77 v2_lattice3(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f140,plain,(
% 2.80/0.77 v3_lattice3(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f141,plain,(
% 2.80/0.77 l1_orders_2(sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f142,plain,(
% 2.80/0.77 v2_orders_2(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f143,plain,(
% 2.80/0.77 v3_orders_2(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f144,plain,(
% 2.80/0.77 v4_orders_2(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f145,plain,(
% 2.80/0.77 v1_lattice3(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f146,plain,(
% 2.80/0.77 v2_lattice3(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f147,plain,(
% 2.80/0.77 v3_lattice3(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f148,plain,(
% 2.80/0.77 l1_orders_2(sk0_1)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f149,plain,(
% 2.80/0.77 v1_funct_1(sk0_2)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f150,plain,(
% 2.80/0.77 v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f151,plain,(
% 2.80/0.77 v18_waybel_0(sk0_2,sk0_1,sk0_0)),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f152,plain,(
% 2.80/0.77 m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f153,plain,(
% 2.80/0.77 m1_subset_1(sk0_3,u1_struct_0(sk0_0))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f154,plain,(
% 2.80/0.77 ~k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),sk0_3)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,sk0_3)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f134])).
% 2.80/0.77 fof(f288,plain,(
% 2.80/0.77 ![A]: (~l1_orders_2(A)|(~v2_lattice3(A)|~v3_struct_0(A)))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 2.80/0.77 fof(f289,plain,(
% 2.80/0.77 ![X0]: (~l1_orders_2(X0)|~v2_lattice3(X0)|~v3_struct_0(X0))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f288])).
% 2.80/0.77 fof(f322,plain,(
% 2.80/0.77 ![A]: ((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v2_lattice3(A))|~l1_orders_2(A))|(![B]: ((((((~v2_orders_2(B)|~v3_orders_2(B))|~v4_orders_2(B))|~v1_lattice3(B))|~v2_lattice3(B))|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)))|~m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)))|(((~v3_lattice3(A)|~v3_lattice3(B))|~v18_waybel_0(C,B,A))|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)))|(D=k2_waybel34(A,B,C)<=>v3_waybel_1(k1_waybel_1(A,B,D,C),A,B))))))))))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.80/0.77 fof(f323,plain,(
% 2.80/0.77 ![A]: ((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v2_lattice3(A))|~l1_orders_2(A))|(![B]: ((((((~v2_orders_2(B)|~v3_orders_2(B))|~v4_orders_2(B))|~v1_lattice3(B))|~v2_lattice3(B))|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)))|~m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)))|(((~v3_lattice3(A)|~v3_lattice3(B))|~v18_waybel_0(C,B,A))|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)))|((~D=k2_waybel34(A,B,C)|v3_waybel_1(k1_waybel_1(A,B,D,C),A,B))&(D=k2_waybel34(A,B,C)|~v3_waybel_1(k1_waybel_1(A,B,D,C),A,B)))))))))))),
% 2.80/0.77 inference(NNF_transformation,[status(esa)],[f322])).
% 2.80/0.77 fof(f324,plain,(
% 2.80/0.77 ![X0,X1,X2,X3]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))|~X3=k2_waybel34(X0,X1,X2)|v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f323])).
% 2.80/0.77 fof(f327,plain,(
% 2.80/0.77 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (r4_waybel_1(A,B,C)<=>((r1_yellow_0(A,C)&B=k1_yellow_0(A,C))&r2_hidden(k1_yellow_0(A,C),C)))))))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 2.80/0.77 fof(f328,plain,(
% 2.80/0.77 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: ((~r4_waybel_1(A,B,C)|((r1_yellow_0(A,C)&B=k1_yellow_0(A,C))&r2_hidden(k1_yellow_0(A,C),C)))&(r4_waybel_1(A,B,C)|((~r1_yellow_0(A,C)|~B=k1_yellow_0(A,C))|~r2_hidden(k1_yellow_0(A,C),C))))))))),
% 2.80/0.77 inference(NNF_transformation,[status(esa)],[f327])).
% 2.80/0.77 fof(f329,plain,(
% 2.80/0.77 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|((![C]: (~r4_waybel_1(A,B,C)|((r1_yellow_0(A,C)&B=k1_yellow_0(A,C))&r2_hidden(k1_yellow_0(A,C),C))))&(![C]: (r4_waybel_1(A,B,C)|((~r1_yellow_0(A,C)|~B=k1_yellow_0(A,C))|~r2_hidden(k1_yellow_0(A,C),C))))))))),
% 2.80/0.77 inference(miniscoping,[status(esa)],[f328])).
% 2.80/0.77 fof(f331,plain,(
% 2.80/0.77 ![X0,X1,X2]: (v3_struct_0(X0)|~l1_orders_2(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~r4_waybel_1(X0,X1,X2)|X1=k1_yellow_0(X0,X2))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f329])).
% 2.80/0.77 fof(f341,plain,(
% 2.80/0.77 ![A,B,C]: (((((((((((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v2_lattice3(A))|~l1_orders_2(A))|~v2_orders_2(B))|~v3_orders_2(B))|~v4_orders_2(B))|~v1_lattice3(B))|~v2_lattice3(B))|~l1_orders_2(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)))|~m1_relset_1(C,u1_struct_0(B),u1_struct_0(A)))|((v1_funct_1(k2_waybel34(A,B,C))&v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B)))&m2_relset_1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 2.80/0.77 fof(f342,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|v1_funct_1(k2_waybel34(X0,X1,X2)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f341])).
% 2.80/0.77 fof(f343,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f341])).
% 2.80/0.77 fof(f344,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f341])).
% 2.80/0.77 fof(f352,plain,(
% 2.80/0.77 ![A,B,C,D]: (((((((v1_xboole_0(A)|v3_struct_0(B))|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,A,u1_struct_0(B)))|~m1_relset_1(C,A,u1_struct_0(B)))|~m1_subset_1(D,A))|m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 2.80/0.77 fof(f353,plain,(
% 2.80/0.77 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|v3_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,X0,u1_struct_0(X1))|~m1_relset_1(X2,X0,u1_struct_0(X1))|~m1_subset_1(X3,X0)|m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f352])).
% 2.80/0.77 fof(f354,plain,(
% 2.80/0.77 ![A]: (~l1_orders_2(A)|l1_struct_0(A))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 2.80/0.77 fof(f355,plain,(
% 2.80/0.77 ![X0]: (~l1_orders_2(X0)|l1_struct_0(X0))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f354])).
% 2.80/0.77 fof(f414,plain,(
% 2.80/0.77 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 2.80/0.77 fof(f415,plain,(
% 2.80/0.77 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f414])).
% 2.80/0.77 fof(f572,plain,(
% 2.80/0.77 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 2.80/0.77 inference(NNF_transformation,[status(esa)],[f122])).
% 2.80/0.77 fof(f573,plain,(
% 2.80/0.77 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 2.80/0.77 inference(miniscoping,[status(esa)],[f572])).
% 2.80/0.77 fof(f574,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f573])).
% 2.80/0.77 fof(f575,plain,(
% 2.80/0.77 ![X0,X1,X2]: (m2_relset_1(X0,X1,X2)|~m1_relset_1(X0,X1,X2))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f573])).
% 2.80/0.77 fof(f578,plain,(
% 2.80/0.77 ![A]: (((((v3_struct_0(A)|~v2_orders_2(A))|~v3_orders_2(A))|~v4_orders_2(A))|~l1_orders_2(A))|(![B]: (((((v3_struct_0(B)|~v2_orders_2(B))|~v3_orders_2(B))|~v4_orders_2(B))|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)))|~m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)))|(v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)<=>(v5_orders_3(D,B,A)&(![E]: (~m1_subset_1(E,u1_struct_0(A))|r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,E),k5_pre_topc(B,A,D,k6_waybel_0(A,E))))))))))))))),
% 2.80/0.77 inference(pre_NNF_transformation,[status(esa)],[f124])).
% 2.80/0.77 fof(f579,plain,(
% 2.80/0.77 ![A]: (((((v3_struct_0(A)|~v2_orders_2(A))|~v3_orders_2(A))|~v4_orders_2(A))|~l1_orders_2(A))|(![B]: (((((v3_struct_0(B)|~v2_orders_2(B))|~v3_orders_2(B))|~v4_orders_2(B))|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)))|~m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)))|((~v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)|(v5_orders_3(D,B,A)&(![E]: (~m1_subset_1(E,u1_struct_0(A))|r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,E),k5_pre_topc(B,A,D,k6_waybel_0(A,E)))))))&(v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)|(~v5_orders_3(D,B,A)|(?[E]: (m1_subset_1(E,u1_struct_0(A))&~r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,E),k5_pre_topc(B,A,D,k6_waybel_0(A,E)))))))))))))))),
% 2.80/0.77 inference(NNF_transformation,[status(esa)],[f578])).
% 2.80/0.77 fof(f580,plain,(
% 2.80/0.77 ![A]: (((((v3_struct_0(A)|~v2_orders_2(A))|~v3_orders_2(A))|~v4_orders_2(A))|~l1_orders_2(A))|(![B]: (((((v3_struct_0(B)|~v2_orders_2(B))|~v3_orders_2(B))|~v4_orders_2(B))|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)))|~m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)))|((~v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)|(v5_orders_3(D,B,A)&(![E]: (~m1_subset_1(E,u1_struct_0(A))|r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,E),k5_pre_topc(B,A,D,k6_waybel_0(A,E)))))))&(v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)|(~v5_orders_3(D,B,A)|(m1_subset_1(sk0_28(D,C,B,A),u1_struct_0(A))&~r4_waybel_1(B,k7_yellow_2(u1_struct_0(A),B,C,sk0_28(D,C,B,A)),k5_pre_topc(B,A,D,k6_waybel_0(A,sk0_28(D,C,B,A)))))))))))))))),
% 2.80/0.77 inference(skolemization,[status(esa)],[f579])).
% 2.80/0.77 fof(f582,plain,(
% 2.80/0.77 ![X0,X1,X2,X3,X4]: (v3_struct_0(X0)|~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))|~m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))|~v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)|~m1_subset_1(X4,u1_struct_0(X0))|r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))))),
% 2.80/0.77 inference(cnf_transformation,[status(esa)],[f580])).
% 2.80/0.77 fof(f607,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~v1_funct_1(k2_waybel34(X0,X1,X2))|~v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1))),
% 2.80/0.77 inference(destructive_equality_resolution,[status(esa)],[f324])).
% 2.80/0.77 fof(f715,plain,(
% 2.80/0.77 spl0_2 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f716,plain,(
% 2.80/0.77 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_2),
% 2.80/0.77 inference(component_clause,[status(thm)],[f715])).
% 2.80/0.77 fof(f1576,plain,(
% 2.80/0.77 spl0_117 <=> v2_lattice3(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f1578,plain,(
% 2.80/0.77 ~v2_lattice3(sk0_1)|spl0_117),
% 2.80/0.77 inference(component_clause,[status(thm)],[f1576])).
% 2.80/0.77 fof(f1584,plain,(
% 2.80/0.77 spl0_119 <=> v2_lattice3(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f1586,plain,(
% 2.80/0.77 ~v2_lattice3(sk0_0)|spl0_119),
% 2.80/0.77 inference(component_clause,[status(thm)],[f1584])).
% 2.80/0.77 fof(f1589,plain,(
% 2.80/0.77 $false|spl0_119),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1586,f139])).
% 2.80/0.77 fof(f1590,plain,(
% 2.80/0.77 spl0_119),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f1589])).
% 2.80/0.77 fof(f1591,plain,(
% 2.80/0.77 $false|spl0_117),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1578,f146])).
% 2.80/0.77 fof(f1592,plain,(
% 2.80/0.77 spl0_117),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f1591])).
% 2.80/0.77 fof(f1605,plain,(
% 2.80/0.77 spl0_122 <=> v1_lattice3(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f1607,plain,(
% 2.80/0.77 ~v1_lattice3(sk0_1)|spl0_122),
% 2.80/0.77 inference(component_clause,[status(thm)],[f1605])).
% 2.80/0.77 fof(f1610,plain,(
% 2.80/0.77 spl0_123 <=> v1_lattice3(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f1612,plain,(
% 2.80/0.77 ~v1_lattice3(sk0_0)|spl0_123),
% 2.80/0.77 inference(component_clause,[status(thm)],[f1610])).
% 2.80/0.77 fof(f1615,plain,(
% 2.80/0.77 $false|spl0_123),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1612,f138])).
% 2.80/0.77 fof(f1616,plain,(
% 2.80/0.77 spl0_123),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f1615])).
% 2.80/0.77 fof(f1617,plain,(
% 2.80/0.77 $false|spl0_122),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1607,f145])).
% 2.80/0.77 fof(f1618,plain,(
% 2.80/0.77 spl0_122),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f1617])).
% 2.80/0.77 fof(f1979,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~v1_funct_1(k2_waybel34(X0,X1,X2))|~m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)|~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)))),
% 2.80/0.77 inference(resolution,[status(thm)],[f607,f343])).
% 2.80/0.77 fof(f1980,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~v1_funct_1(k2_waybel34(X0,X1,X2))|~m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)))),
% 2.80/0.77 inference(duplicate_literals_removal,[status(esa)],[f1979])).
% 2.80/0.77 fof(f1981,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~v1_funct_1(k2_waybel34(X0,X1,X2))|~m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)))),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1980,f575])).
% 2.80/0.77 fof(f2148,plain,(
% 2.80/0.77 ![X0,X1,X2]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))|~v3_lattice3(X0)|~v3_lattice3(X1)|~v18_waybel_0(X2,X1,X0)|~m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))|v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)|~m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)))),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1981,f342])).
% 2.80/0.77 fof(f2149,plain,(
% 2.80/0.77 spl0_192 <=> v2_orders_2(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2151,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_0)|spl0_192),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2149])).
% 2.80/0.77 fof(f2152,plain,(
% 2.80/0.77 spl0_193 <=> v3_orders_2(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2154,plain,(
% 2.80/0.77 ~v3_orders_2(sk0_0)|spl0_193),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2152])).
% 2.80/0.77 fof(f2155,plain,(
% 2.80/0.77 spl0_194 <=> v4_orders_2(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2157,plain,(
% 2.80/0.77 ~v4_orders_2(sk0_0)|spl0_194),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2155])).
% 2.80/0.77 fof(f2158,plain,(
% 2.80/0.77 spl0_195 <=> l1_orders_2(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2160,plain,(
% 2.80/0.77 ~l1_orders_2(sk0_0)|spl0_195),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2158])).
% 2.80/0.77 fof(f2161,plain,(
% 2.80/0.77 spl0_196 <=> v2_orders_2(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2163,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_1)|spl0_196),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2161])).
% 2.80/0.77 fof(f2164,plain,(
% 2.80/0.77 spl0_197 <=> v3_orders_2(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2166,plain,(
% 2.80/0.77 ~v3_orders_2(sk0_1)|spl0_197),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2164])).
% 2.80/0.77 fof(f2167,plain,(
% 2.80/0.77 spl0_198 <=> v4_orders_2(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2169,plain,(
% 2.80/0.77 ~v4_orders_2(sk0_1)|spl0_198),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2167])).
% 2.80/0.77 fof(f2170,plain,(
% 2.80/0.77 spl0_199 <=> l1_orders_2(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2172,plain,(
% 2.80/0.77 ~l1_orders_2(sk0_1)|spl0_199),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2170])).
% 2.80/0.77 fof(f2173,plain,(
% 2.80/0.77 spl0_200 <=> v1_funct_1(sk0_2)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2175,plain,(
% 2.80/0.77 ~v1_funct_1(sk0_2)|spl0_200),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2173])).
% 2.80/0.77 fof(f2176,plain,(
% 2.80/0.77 spl0_201 <=> v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2178,plain,(
% 2.80/0.77 ~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_201),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2176])).
% 2.80/0.77 fof(f2179,plain,(
% 2.80/0.77 spl0_202 <=> v3_lattice3(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2181,plain,(
% 2.80/0.77 ~v3_lattice3(sk0_0)|spl0_202),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2179])).
% 2.80/0.77 fof(f2182,plain,(
% 2.80/0.77 spl0_203 <=> v3_lattice3(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2184,plain,(
% 2.80/0.77 ~v3_lattice3(sk0_1)|spl0_203),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2182])).
% 2.80/0.77 fof(f2185,plain,(
% 2.80/0.77 spl0_204 <=> m2_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2187,plain,(
% 2.80/0.77 ~m2_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_204),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2185])).
% 2.80/0.77 fof(f2188,plain,(
% 2.80/0.77 spl0_205 <=> v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),sk0_2),sk0_0,sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2189,plain,(
% 2.80/0.77 v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),sk0_2),sk0_0,sk0_1)|~spl0_205),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2188])).
% 2.80/0.77 fof(f2191,plain,(
% 2.80/0.77 spl0_206 <=> m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2193,plain,(
% 2.80/0.77 ~m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_206),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2191])).
% 2.80/0.77 fof(f2194,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_0)|~v3_orders_2(sk0_0)|~v4_orders_2(sk0_0)|~v1_lattice3(sk0_0)|~v2_lattice3(sk0_0)|~l1_orders_2(sk0_0)|~v2_orders_2(sk0_1)|~v3_orders_2(sk0_1)|~v4_orders_2(sk0_1)|~v1_lattice3(sk0_1)|~v2_lattice3(sk0_1)|~l1_orders_2(sk0_1)|~v1_funct_1(sk0_2)|~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~v3_lattice3(sk0_0)|~v3_lattice3(sk0_1)|~m2_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),sk0_2),sk0_0,sk0_1)|~m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 inference(resolution,[status(thm)],[f2148,f151])).
% 2.80/0.77 fof(f2195,plain,(
% 2.80/0.77 ~spl0_192|~spl0_193|~spl0_194|~spl0_123|~spl0_119|~spl0_195|~spl0_196|~spl0_197|~spl0_198|~spl0_122|~spl0_117|~spl0_199|~spl0_200|~spl0_201|~spl0_202|~spl0_203|~spl0_204|spl0_205|~spl0_206),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2194,f2149,f2152,f2155,f1610,f1584,f2158,f2161,f2164,f2167,f1605,f1576,f2170,f2173,f2176,f2179,f2182,f2185,f2188,f2191])).
% 2.80/0.77 fof(f2196,plain,(
% 2.80/0.77 $false|spl0_203),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2184,f147])).
% 2.80/0.77 fof(f2197,plain,(
% 2.80/0.77 spl0_203),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2196])).
% 2.80/0.77 fof(f2198,plain,(
% 2.80/0.77 $false|spl0_202),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2181,f140])).
% 2.80/0.77 fof(f2199,plain,(
% 2.80/0.77 spl0_202),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2198])).
% 2.80/0.77 fof(f2200,plain,(
% 2.80/0.77 $false|spl0_201),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2178,f150])).
% 2.80/0.77 fof(f2201,plain,(
% 2.80/0.77 spl0_201),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2200])).
% 2.80/0.77 fof(f2202,plain,(
% 2.80/0.77 $false|spl0_200),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2175,f149])).
% 2.80/0.77 fof(f2203,plain,(
% 2.80/0.77 spl0_200),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2202])).
% 2.80/0.77 fof(f2204,plain,(
% 2.80/0.77 $false|spl0_199),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2172,f148])).
% 2.80/0.77 fof(f2205,plain,(
% 2.80/0.77 spl0_199),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2204])).
% 2.80/0.77 fof(f2206,plain,(
% 2.80/0.77 $false|spl0_198),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2169,f144])).
% 2.80/0.77 fof(f2207,plain,(
% 2.80/0.77 spl0_198),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2206])).
% 2.80/0.77 fof(f2208,plain,(
% 2.80/0.77 $false|spl0_197),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2166,f143])).
% 2.80/0.77 fof(f2209,plain,(
% 2.80/0.77 spl0_197),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2208])).
% 2.80/0.77 fof(f2210,plain,(
% 2.80/0.77 $false|spl0_196),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2163,f142])).
% 2.80/0.77 fof(f2211,plain,(
% 2.80/0.77 spl0_196),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2210])).
% 2.80/0.77 fof(f2212,plain,(
% 2.80/0.77 $false|spl0_195),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2160,f141])).
% 2.80/0.77 fof(f2213,plain,(
% 2.80/0.77 spl0_195),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2212])).
% 2.80/0.77 fof(f2214,plain,(
% 2.80/0.77 $false|spl0_194),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2157,f137])).
% 2.80/0.77 fof(f2215,plain,(
% 2.80/0.77 spl0_194),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2214])).
% 2.80/0.77 fof(f2216,plain,(
% 2.80/0.77 $false|spl0_193),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2154,f136])).
% 2.80/0.77 fof(f2217,plain,(
% 2.80/0.77 spl0_193),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2216])).
% 2.80/0.77 fof(f2218,plain,(
% 2.80/0.77 $false|spl0_192),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2151,f135])).
% 2.80/0.77 fof(f2219,plain,(
% 2.80/0.77 spl0_192),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2218])).
% 2.80/0.77 fof(f2436,plain,(
% 2.80/0.77 ~m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_206),
% 2.80/0.77 inference(resolution,[status(thm)],[f2193,f574])).
% 2.80/0.77 fof(f2437,plain,(
% 2.80/0.77 $false|spl0_206),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2436,f152])).
% 2.80/0.77 fof(f2438,plain,(
% 2.80/0.77 spl0_206),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2437])).
% 2.80/0.77 fof(f2439,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_0)|~v3_orders_2(sk0_0)|~v4_orders_2(sk0_0)|~v1_lattice3(sk0_0)|~v2_lattice3(sk0_0)|~l1_orders_2(sk0_0)|~v2_orders_2(sk0_1)|~v3_orders_2(sk0_1)|~v4_orders_2(sk0_1)|~v1_lattice3(sk0_1)|~v2_lattice3(sk0_1)|~l1_orders_2(sk0_1)|~v1_funct_1(sk0_2)|~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_204),
% 2.80/0.77 inference(resolution,[status(thm)],[f2187,f344])).
% 2.80/0.77 fof(f2440,plain,(
% 2.80/0.77 ~spl0_192|~spl0_193|~spl0_194|~spl0_123|~spl0_119|~spl0_195|~spl0_196|~spl0_197|~spl0_198|~spl0_122|~spl0_117|~spl0_199|~spl0_200|~spl0_201|~spl0_206|spl0_204),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2439,f2149,f2152,f2155,f1610,f1584,f2158,f2161,f2164,f2167,f1605,f1576,f2170,f2173,f2176,f2191,f2185])).
% 2.80/0.77 fof(f2442,plain,(
% 2.80/0.77 spl0_221 <=> m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2444,plain,(
% 2.80/0.77 ~m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_221),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2442])).
% 2.80/0.77 fof(f2448,plain,(
% 2.80/0.77 spl0_223 <=> v1_funct_1(k2_waybel34(sk0_0,sk0_1,sk0_2))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2450,plain,(
% 2.80/0.77 ~v1_funct_1(k2_waybel34(sk0_0,sk0_1,sk0_2))|spl0_223),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2448])).
% 2.80/0.77 fof(f2451,plain,(
% 2.80/0.77 spl0_224 <=> v1_funct_2(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2453,plain,(
% 2.80/0.77 ~v1_funct_2(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_224),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2451])).
% 2.80/0.77 fof(f2459,plain,(
% 2.80/0.77 spl0_226 <=> v3_struct_0(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2460,plain,(
% 2.80/0.77 v3_struct_0(sk0_0)|~spl0_226),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2459])).
% 2.80/0.77 fof(f2462,plain,(
% 2.80/0.77 spl0_227 <=> v3_struct_0(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2463,plain,(
% 2.80/0.77 v3_struct_0(sk0_1)|~spl0_227),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2462])).
% 2.80/0.77 fof(f2465,plain,(
% 2.80/0.77 spl0_228 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|r4_waybel_1(sk0_1,k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2466,plain,(
% 2.80/0.77 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|r4_waybel_1(sk0_1,k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~spl0_228)),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2465])).
% 2.80/0.77 fof(f2468,plain,(
% 2.80/0.77 ![X0]: (v3_struct_0(sk0_0)|~v2_orders_2(sk0_0)|~v3_orders_2(sk0_0)|~v4_orders_2(sk0_0)|~l1_orders_2(sk0_0)|v3_struct_0(sk0_1)|~v2_orders_2(sk0_1)|~v3_orders_2(sk0_1)|~v4_orders_2(sk0_1)|~l1_orders_2(sk0_1)|~v1_funct_1(k2_waybel34(sk0_0,sk0_1,sk0_2))|~v1_funct_2(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~m2_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v1_funct_1(sk0_2)|~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~m2_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_0))|r4_waybel_1(sk0_1,k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~spl0_205)),
% 2.80/0.77 inference(resolution,[status(thm)],[f2189,f582])).
% 2.80/0.77 fof(f2469,plain,(
% 2.80/0.77 spl0_226|~spl0_192|~spl0_193|~spl0_194|~spl0_195|spl0_227|~spl0_196|~spl0_197|~spl0_198|~spl0_199|~spl0_223|~spl0_224|~spl0_204|~spl0_200|~spl0_201|~spl0_221|spl0_228|~spl0_205),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2468,f2459,f2149,f2152,f2155,f2158,f2462,f2161,f2164,f2167,f2170,f2448,f2451,f2185,f2173,f2176,f2442,f2465,f2188])).
% 2.80/0.77 fof(f2472,plain,(
% 2.80/0.77 $false|spl0_221),
% 2.80/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2444,f152])).
% 2.80/0.77 fof(f2473,plain,(
% 2.80/0.77 spl0_221),
% 2.80/0.77 inference(contradiction_clause,[status(thm)],[f2472])).
% 2.80/0.77 fof(f2474,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_0)|~v3_orders_2(sk0_0)|~v4_orders_2(sk0_0)|~v1_lattice3(sk0_0)|~v2_lattice3(sk0_0)|~l1_orders_2(sk0_0)|~v2_orders_2(sk0_1)|~v3_orders_2(sk0_1)|~v4_orders_2(sk0_1)|~v1_lattice3(sk0_1)|~v2_lattice3(sk0_1)|~l1_orders_2(sk0_1)|~v1_funct_1(sk0_2)|~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_224),
% 2.80/0.77 inference(resolution,[status(thm)],[f2453,f343])).
% 2.80/0.77 fof(f2475,plain,(
% 2.80/0.77 ~spl0_192|~spl0_193|~spl0_194|~spl0_123|~spl0_119|~spl0_195|~spl0_196|~spl0_197|~spl0_198|~spl0_122|~spl0_117|~spl0_199|~spl0_200|~spl0_201|~spl0_206|spl0_224),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2474,f2149,f2152,f2155,f1610,f1584,f2158,f2161,f2164,f2167,f1605,f1576,f2170,f2173,f2176,f2191,f2451])).
% 2.80/0.77 fof(f2476,plain,(
% 2.80/0.77 ~v2_orders_2(sk0_0)|~v3_orders_2(sk0_0)|~v4_orders_2(sk0_0)|~v1_lattice3(sk0_0)|~v2_lattice3(sk0_0)|~l1_orders_2(sk0_0)|~v2_orders_2(sk0_1)|~v3_orders_2(sk0_1)|~v4_orders_2(sk0_1)|~v1_lattice3(sk0_1)|~v2_lattice3(sk0_1)|~l1_orders_2(sk0_1)|~v1_funct_1(sk0_2)|~v1_funct_2(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|~m1_relset_1(sk0_2,u1_struct_0(sk0_1),u1_struct_0(sk0_0))|spl0_223),
% 2.80/0.77 inference(resolution,[status(thm)],[f2450,f342])).
% 2.80/0.77 fof(f2477,plain,(
% 2.80/0.77 ~spl0_192|~spl0_193|~spl0_194|~spl0_123|~spl0_119|~spl0_195|~spl0_196|~spl0_197|~spl0_198|~spl0_122|~spl0_117|~spl0_199|~spl0_200|~spl0_201|~spl0_206|spl0_223),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2476,f2149,f2152,f2155,f1610,f1584,f2158,f2161,f2164,f2167,f1605,f1576,f2170,f2173,f2176,f2191,f2448])).
% 2.80/0.77 fof(f2486,plain,(
% 2.80/0.77 spl0_230 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),u1_struct_0(sk0_1))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2487,plain,(
% 2.80/0.77 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),u1_struct_0(sk0_1))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~spl0_230)),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2486])).
% 2.80/0.77 fof(f2489,plain,(
% 2.80/0.77 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|v3_struct_0(sk0_1)|~l1_orders_2(sk0_1)|~m1_subset_1(k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0),u1_struct_0(sk0_1))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~spl0_228)),
% 2.80/0.77 inference(resolution,[status(thm)],[f2466,f331])).
% 2.80/0.77 fof(f2490,plain,(
% 2.80/0.77 spl0_230|spl0_227|~spl0_199|~spl0_228),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2489,f2486,f2462,f2170,f2465])).
% 2.80/0.77 fof(f2491,plain,(
% 2.80/0.77 ~l1_orders_2(sk0_1)|~v2_lattice3(sk0_1)|~spl0_227),
% 2.80/0.77 inference(resolution,[status(thm)],[f2463,f289])).
% 2.80/0.77 fof(f2492,plain,(
% 2.80/0.77 ~spl0_199|~spl0_117|~spl0_227),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2491,f2170,f1576,f2462])).
% 2.80/0.77 fof(f2504,plain,(
% 2.80/0.77 spl0_232 <=> l1_struct_0(sk0_1)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2506,plain,(
% 2.80/0.77 ~l1_struct_0(sk0_1)|spl0_232),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2504])).
% 2.80/0.77 fof(f2507,plain,(
% 2.80/0.77 spl0_233 <=> m1_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2509,plain,(
% 2.80/0.77 ~m1_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_233),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2507])).
% 2.80/0.77 fof(f2512,plain,(
% 2.80/0.77 ~l1_orders_2(sk0_1)|spl0_232),
% 2.80/0.77 inference(resolution,[status(thm)],[f2506,f355])).
% 2.80/0.77 fof(f2513,plain,(
% 2.80/0.77 ~spl0_199|spl0_232),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2512,f2170,f2504])).
% 2.80/0.77 fof(f2514,plain,(
% 2.80/0.77 spl0_234 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~m1_subset_1(X0,u1_struct_0(sk0_0))),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2515,plain,(
% 2.80/0.77 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_234)),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2514])).
% 2.80/0.77 fof(f2517,plain,(
% 2.80/0.77 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|v1_xboole_0(u1_struct_0(sk0_0))|v3_struct_0(sk0_1)|~l1_struct_0(sk0_1)|~v1_funct_1(k2_waybel34(sk0_0,sk0_1,sk0_2))|~v1_funct_2(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~m1_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_230)),
% 2.80/0.77 inference(resolution,[status(thm)],[f2487,f353])).
% 2.80/0.77 fof(f2518,plain,(
% 2.80/0.77 spl0_234|spl0_2|spl0_227|~spl0_232|~spl0_223|~spl0_224|~spl0_233|~spl0_230),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2517,f2514,f715,f2462,f2504,f2448,f2451,f2507,f2486])).
% 2.80/0.77 fof(f2519,plain,(
% 2.80/0.77 ~m2_relset_1(k2_waybel34(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_233),
% 2.80/0.77 inference(resolution,[status(thm)],[f2509,f574])).
% 2.80/0.77 fof(f2520,plain,(
% 2.80/0.77 ~spl0_204|spl0_233),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2519,f2185,f2507])).
% 2.80/0.77 fof(f2524,plain,(
% 2.80/0.77 spl0_235 <=> l1_struct_0(sk0_0)),
% 2.80/0.77 introduced(split_symbol_definition)).
% 2.80/0.77 fof(f2526,plain,(
% 2.80/0.77 ~l1_struct_0(sk0_0)|spl0_235),
% 2.80/0.77 inference(component_clause,[status(thm)],[f2524])).
% 2.80/0.77 fof(f2527,plain,(
% 2.80/0.77 v3_struct_0(sk0_0)|~l1_struct_0(sk0_0)|~spl0_2),
% 2.80/0.77 inference(resolution,[status(thm)],[f716,f415])).
% 2.80/0.77 fof(f2528,plain,(
% 2.80/0.77 spl0_226|~spl0_235|~spl0_2),
% 2.80/0.77 inference(split_clause,[status(thm)],[f2527,f2459,f2524,f715])).
% 2.80/0.77 fof(f2534,plain,(
% 2.80/0.77 ~l1_orders_2(sk0_0)|spl0_235),
% 2.80/0.77 inference(resolution,[status(thm)],[f2526,f355])).
% 2.80/0.78 fof(f2535,plain,(
% 2.80/0.78 ~spl0_195|spl0_235),
% 2.80/0.78 inference(split_clause,[status(thm)],[f2534,f2158,f2524])).
% 2.80/0.78 fof(f2536,plain,(
% 2.80/0.78 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k7_yellow_2(u1_struct_0(sk0_0),sk0_1,k2_waybel34(sk0_0,sk0_1,sk0_2),X0)=k1_yellow_0(sk0_1,k5_pre_topc(sk0_1,sk0_0,sk0_2,k6_waybel_0(sk0_0,X0)))|~spl0_234)),
% 2.80/0.78 inference(duplicate_literals_removal,[status(esa)],[f2515])).
% 2.80/0.78 fof(f2538,plain,(
% 2.80/0.78 ~l1_orders_2(sk0_0)|~v2_lattice3(sk0_0)|~spl0_226),
% 2.80/0.78 inference(resolution,[status(thm)],[f2460,f289])).
% 2.80/0.78 fof(f2539,plain,(
% 2.80/0.78 ~spl0_195|~spl0_119|~spl0_226),
% 2.80/0.78 inference(split_clause,[status(thm)],[f2538,f2158,f1584,f2459])).
% 2.80/0.78 fof(f2719,plain,(
% 2.80/0.78 ~m1_subset_1(sk0_3,u1_struct_0(sk0_0))|~spl0_234),
% 2.80/0.78 inference(resolution,[status(thm)],[f2536,f154])).
% 2.80/0.78 fof(f2720,plain,(
% 2.80/0.78 $false|~spl0_234),
% 2.80/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2719,f153])).
% 2.80/0.78 fof(f2721,plain,(
% 2.80/0.78 ~spl0_234),
% 2.80/0.78 inference(contradiction_clause,[status(thm)],[f2720])).
% 2.80/0.78 fof(f2722,plain,(
% 2.80/0.78 $false),
% 2.80/0.78 inference(sat_refutation,[status(thm)],[f1590,f1592,f1616,f1618,f2195,f2197,f2199,f2201,f2203,f2205,f2207,f2209,f2211,f2213,f2215,f2217,f2219,f2438,f2440,f2469,f2473,f2475,f2477,f2490,f2492,f2513,f2518,f2520,f2528,f2535,f2539,f2721])).
% 2.80/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 2.80/0.78 % Elapsed time: 0.475223 seconds
% 2.80/0.78 % CPU time: 2.999068 seconds
% 2.80/0.78 % Memory used: 100.223 MB
%------------------------------------------------------------------------------