TSTP Solution File: LAT351+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:25:56 EDT 2024
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:23:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.44 fof(f1,conjecture,(
% 0.19/0.44 (! [A,B] :( ( v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& v3_lattice3(B)& v3_waybel_3(B)& l1_orders_2(B) )=> (! [C] :( ( r1_waybel22(B,C)& k1_card_1(C) = k1_card_1(A) )=> r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))) ) )) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f2,negated_conjecture,(
% 0.19/0.44 ~((! [A,B] :( ( v2_orders_2(B)& v3_orders_2(B)& v4_orders_2(B)& v1_lattice3(B)& v2_lattice3(B)& v3_lattice3(B)& v3_waybel_3(B)& l1_orders_2(B) )=> (! [C] :( ( r1_waybel22(B,C)& k1_card_1(C) = k1_card_1(A) )=> r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))) ) )) ))),
% 0.19/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.44 fof(f16,axiom,(
% 0.19/0.44 (! [A] :( l1_orders_2(A)=> ( ( ~ v3_struct_0(A)& v3_lattice3(A) )=> ( ~ v3_struct_0(A)& v1_lattice3(A)& v2_lattice3(A) ) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f19,axiom,(
% 0.19/0.44 (! [A] :( l1_orders_2(A)=> ( v2_lattice3(A)=> ~ v3_struct_0(A) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f42,axiom,(
% 0.19/0.44 (! [A] :( v1_orders_2(k2_yellow_1(A))& l1_orders_2(k2_yellow_1(A)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f44,axiom,(
% 0.19/0.44 (! [A] :( v1_orders_2(k3_yellow_1(A))& l1_orders_2(k3_yellow_1(A)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f66,axiom,(
% 0.19/0.44 (! [A] :( ~ v3_struct_0(k3_yellow_1(A))& v1_orders_2(k3_yellow_1(A))& v2_orders_2(k3_yellow_1(A))& v3_orders_2(k3_yellow_1(A))& v4_orders_2(k3_yellow_1(A))& v1_lattice3(k3_yellow_1(A))& v2_lattice3(k3_yellow_1(A))& v3_lattice3(k3_yellow_1(A))& v1_yellow_0(k3_yellow_1(A))& v2_yellow_0(k3_yellow_1(A))& v3_yellow_0(k3_yellow_1(A))& v24_waybel_0(k3_yellow_1(A))& v25_waybel_0(k3_yellow_1(A))& v2_waybel_1(k3_yellow_1(A))& v9_waybel_1(k3_yellow_1(A))& v10_waybel_1(k3_yellow_1(A))& v11_waybel_1(k3_yellow_1(A))& v2_waybel_3(k3_yellow_1(A))& v3_waybel_3(k3_yellow_1(A))& v1_waybel_8(k3_yellow_1(A))& v2_waybel_8(k3_yellow_1(A)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f71,axiom,(
% 0.19/0.44 (! [A] :( ( ~ v3_struct_0(A)& v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v2_yellow_0(A)& v2_lattice3(A)& l1_orders_2(A) )=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))& v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))& v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))& v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))& v1_lattice3(k2_yellow_1(k9_waybel_0(A)))& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))& v3_waybel_3(k2_yellow_1(k9_waybel_0(A))) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f76,axiom,(
% 0.19/0.44 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v2_lattice3(A)& v2_yellow_0(A)& l1_orders_2(A) )=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))& v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f111,axiom,(
% 0.19/0.44 (! [A] : k1_card_1(k1_waybel22(A)) = k1_card_1(A) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f112,axiom,(
% 0.19/0.44 (! [A] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),k1_waybel22(A)) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f113,axiom,(
% 0.19/0.44 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v2_lattice3(A)& v3_lattice3(A)& v3_waybel_3(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)& v3_waybel_3(B)& l1_orders_2(B) )=> (! [C,D] :( ( r1_waybel22(A,C)& r1_waybel22(B,D)& k1_card_1(C) = k1_card_1(D) )=> r5_waybel_1(A,B) ) )) )) )),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f123,plain,(
% 0.19/0.44 (?[A,B]: ((((((((v2_orders_2(B)&v3_orders_2(B))&v4_orders_2(B))&v1_lattice3(B))&v2_lattice3(B))&v3_lattice3(B))&v3_waybel_3(B))&l1_orders_2(B))&(?[C]: ((r1_waybel22(B,C)&k1_card_1(C)=k1_card_1(A))&~r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.44 fof(f124,plain,(
% 0.19/0.44 ?[B]: ((((((((v2_orders_2(B)&v3_orders_2(B))&v4_orders_2(B))&v1_lattice3(B))&v2_lattice3(B))&v3_lattice3(B))&v3_waybel_3(B))&l1_orders_2(B))&(?[A]: ((?[C]: (r1_waybel22(B,C)&k1_card_1(C)=k1_card_1(A)))&~r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))))))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f123])).
% 0.19/0.44 fof(f125,plain,(
% 0.19/0.44 ((((((((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))&v3_waybel_3(sk0_0))&l1_orders_2(sk0_0))&((r1_waybel22(sk0_0,sk0_2)&k1_card_1(sk0_2)=k1_card_1(sk0_1))&~r5_waybel_1(sk0_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))))),
% 0.19/0.44 inference(skolemization,[status(esa)],[f124])).
% 0.19/0.44 fof(f126,plain,(
% 0.19/0.44 v2_orders_2(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f127,plain,(
% 0.19/0.44 v3_orders_2(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f128,plain,(
% 0.19/0.44 v4_orders_2(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f129,plain,(
% 0.19/0.44 v1_lattice3(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f130,plain,(
% 0.19/0.44 v2_lattice3(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f131,plain,(
% 0.19/0.44 v3_lattice3(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f132,plain,(
% 0.19/0.44 v3_waybel_3(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f133,plain,(
% 0.19/0.44 l1_orders_2(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f134,plain,(
% 0.19/0.44 r1_waybel22(sk0_0,sk0_2)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f135,plain,(
% 0.19/0.44 k1_card_1(sk0_2)=k1_card_1(sk0_1)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f136,plain,(
% 0.19/0.44 ~r5_waybel_1(sk0_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f125])).
% 0.19/0.44 fof(f194,plain,(
% 0.19/0.44 ![A]: (~l1_orders_2(A)|((v3_struct_0(A)|~v3_lattice3(A))|((~v3_struct_0(A)&v1_lattice3(A))&v2_lattice3(A))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.19/0.44 fof(f196,plain,(
% 0.19/0.44 ![X0]: (~l1_orders_2(X0)|v3_struct_0(X0)|~v3_lattice3(X0)|v1_lattice3(X0))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f194])).
% 0.19/0.44 fof(f210,plain,(
% 0.19/0.44 ![A]: (~l1_orders_2(A)|(~v2_lattice3(A)|~v3_struct_0(A)))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.44 fof(f211,plain,(
% 0.19/0.44 ![X0]: (~l1_orders_2(X0)|~v2_lattice3(X0)|~v3_struct_0(X0))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f210])).
% 0.19/0.44 fof(f308,plain,(
% 0.19/0.44 (![A]: v1_orders_2(k2_yellow_1(A)))&(![A]: l1_orders_2(k2_yellow_1(A)))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f42])).
% 0.19/0.44 fof(f310,plain,(
% 0.19/0.44 ![X0]: (l1_orders_2(k2_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f308])).
% 0.19/0.44 fof(f311,plain,(
% 0.19/0.44 (![A]: v1_orders_2(k3_yellow_1(A)))&(![A]: l1_orders_2(k3_yellow_1(A)))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f44])).
% 0.19/0.44 fof(f313,plain,(
% 0.19/0.44 ![X0]: (l1_orders_2(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f311])).
% 0.19/0.44 fof(f369,plain,(
% 0.19/0.44 ((((((((((((((((((((![A]: ~v3_struct_0(k3_yellow_1(A)))&(![A]: v1_orders_2(k3_yellow_1(A))))&(![A]: v2_orders_2(k3_yellow_1(A))))&(![A]: v3_orders_2(k3_yellow_1(A))))&(![A]: v4_orders_2(k3_yellow_1(A))))&(![A]: v1_lattice3(k3_yellow_1(A))))&(![A]: v2_lattice3(k3_yellow_1(A))))&(![A]: v3_lattice3(k3_yellow_1(A))))&(![A]: v1_yellow_0(k3_yellow_1(A))))&(![A]: v2_yellow_0(k3_yellow_1(A))))&(![A]: v3_yellow_0(k3_yellow_1(A))))&(![A]: v24_waybel_0(k3_yellow_1(A))))&(![A]: v25_waybel_0(k3_yellow_1(A))))&(![A]: v2_waybel_1(k3_yellow_1(A))))&(![A]: v9_waybel_1(k3_yellow_1(A))))&(![A]: v10_waybel_1(k3_yellow_1(A))))&(![A]: v11_waybel_1(k3_yellow_1(A))))&(![A]: v2_waybel_3(k3_yellow_1(A))))&(![A]: v3_waybel_3(k3_yellow_1(A))))&(![A]: v1_waybel_8(k3_yellow_1(A))))&(![A]: v2_waybel_8(k3_yellow_1(A)))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f66])).
% 0.19/0.44 fof(f372,plain,(
% 0.19/0.44 ![X0]: (v2_orders_2(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.44 fof(f373,plain,(
% 0.19/0.44 ![X0]: (v3_orders_2(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.44 fof(f374,plain,(
% 0.19/0.44 ![X0]: (v4_orders_2(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.44 fof(f376,plain,(
% 0.19/0.44 ![X0]: (v2_lattice3(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.44 fof(f379,plain,(
% 0.19/0.44 ![X0]: (v2_yellow_0(k3_yellow_1(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.44 fof(f399,plain,(
% 0.19/0.44 ![A]: (((((((v3_struct_0(A)|~v2_orders_2(A))|~v3_orders_2(A))|~v4_orders_2(A))|~v2_yellow_0(A))|~v2_lattice3(A))|~l1_orders_2(A))|(((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))&v1_orders_2(k2_yellow_1(k9_waybel_0(A))))&v2_orders_2(k2_yellow_1(k9_waybel_0(A))))&v3_orders_2(k2_yellow_1(k9_waybel_0(A))))&v4_orders_2(k2_yellow_1(k9_waybel_0(A))))&v1_yellow_0(k2_yellow_1(k9_waybel_0(A))))&v2_yellow_0(k2_yellow_1(k9_waybel_0(A))))&v3_yellow_0(k2_yellow_1(k9_waybel_0(A))))&v24_waybel_0(k2_yellow_1(k9_waybel_0(A))))&v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))&v1_lattice3(k2_yellow_1(k9_waybel_0(A))))&v2_lattice3(k2_yellow_1(k9_waybel_0(A))))&v3_lattice3(k2_yellow_1(k9_waybel_0(A))))&v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 0.19/0.44 fof(f413,plain,(
% 0.19/0.44 ![X0]: (v3_struct_0(X0)|~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_yellow_0(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f399])).
% 0.19/0.44 fof(f423,plain,(
% 0.19/0.44 ![A]: ((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v2_lattice3(A))|~v2_yellow_0(A))|~l1_orders_2(A))|(((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))&v1_orders_2(k2_yellow_1(k9_waybel_0(A))))&v2_orders_2(k2_yellow_1(k9_waybel_0(A))))&v3_orders_2(k2_yellow_1(k9_waybel_0(A))))&v4_orders_2(k2_yellow_1(k9_waybel_0(A))))&v2_lattice3(k2_yellow_1(k9_waybel_0(A))))&v3_lattice3(k2_yellow_1(k9_waybel_0(A))))&v1_yellow_0(k2_yellow_1(k9_waybel_0(A))))&v24_waybel_0(k2_yellow_1(k9_waybel_0(A))))&v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 0.19/0.44 fof(f426,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_lattice3(X0)|~v2_yellow_0(X0)|~l1_orders_2(X0)|v2_orders_2(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f423])).
% 0.19/0.44 fof(f427,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_lattice3(X0)|~v2_yellow_0(X0)|~l1_orders_2(X0)|v3_orders_2(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f423])).
% 0.19/0.44 fof(f428,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_lattice3(X0)|~v2_yellow_0(X0)|~l1_orders_2(X0)|v4_orders_2(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f423])).
% 0.19/0.44 fof(f429,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_lattice3(X0)|~v2_yellow_0(X0)|~l1_orders_2(X0)|v2_lattice3(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f423])).
% 0.19/0.44 fof(f430,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_lattice3(X0)|~v2_yellow_0(X0)|~l1_orders_2(X0)|v3_lattice3(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f423])).
% 0.19/0.44 fof(f621,plain,(
% 0.19/0.44 ![X0]: (k1_card_1(k1_waybel22(X0))=k1_card_1(X0))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f111])).
% 0.19/0.44 fof(f622,plain,(
% 0.19/0.44 ![X0]: (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f112])).
% 0.19/0.44 fof(f623,plain,(
% 0.19/0.44 ![A]: ((((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v2_lattice3(A))|~v3_lattice3(A))|~v3_waybel_3(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))|~v3_waybel_3(B))|~l1_orders_2(B))|(![C,D]: (((~r1_waybel22(A,C)|~r1_waybel22(B,D))|~k1_card_1(C)=k1_card_1(D))|r5_waybel_1(A,B))))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 0.19/0.44 fof(f624,plain,(
% 0.19/0.44 ![A]: ((((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v2_lattice3(A))|~v3_lattice3(A))|~v3_waybel_3(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))|~v3_waybel_3(B))|~l1_orders_2(B))|((![C,D]: ((~r1_waybel22(A,C)|~r1_waybel22(B,D))|~k1_card_1(C)=k1_card_1(D)))|r5_waybel_1(A,B)))))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f623])).
% 0.19/0.44 fof(f625,plain,(
% 0.19/0.44 ![X0,X1,X2,X3]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v2_lattice3(X0)|~v3_lattice3(X0)|~v3_waybel_3(X0)|~l1_orders_2(X0)|~v2_orders_2(X1)|~v3_orders_2(X1)|~v4_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~v3_lattice3(X1)|~v3_waybel_3(X1)|~l1_orders_2(X1)|~r1_waybel22(X0,X2)|~r1_waybel22(X1,X3)|~k1_card_1(X2)=k1_card_1(X3)|r5_waybel_1(X0,X1))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f624])).
% 0.19/0.44 fof(f674,plain,(
% 0.19/0.44 ![X0]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v2_yellow_0(X0)|~v2_lattice3(X0)|~l1_orders_2(X0)|v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))))),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f413,f211])).
% 0.19/0.44 fof(f675,plain,(
% 0.19/0.44 spl0_4 <=> v2_orders_2(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f677,plain,(
% 0.19/0.44 ~v2_orders_2(sk0_0)|spl0_4),
% 0.19/0.44 inference(component_clause,[status(thm)],[f675])).
% 0.19/0.44 fof(f678,plain,(
% 0.19/0.44 spl0_5 <=> v3_orders_2(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f680,plain,(
% 0.19/0.44 ~v3_orders_2(sk0_0)|spl0_5),
% 0.19/0.44 inference(component_clause,[status(thm)],[f678])).
% 0.19/0.44 fof(f681,plain,(
% 0.19/0.44 spl0_6 <=> v4_orders_2(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f683,plain,(
% 0.19/0.44 ~v4_orders_2(sk0_0)|spl0_6),
% 0.19/0.44 inference(component_clause,[status(thm)],[f681])).
% 0.19/0.44 fof(f684,plain,(
% 0.19/0.44 spl0_7 <=> v1_lattice3(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f686,plain,(
% 0.19/0.44 ~v1_lattice3(sk0_0)|spl0_7),
% 0.19/0.44 inference(component_clause,[status(thm)],[f684])).
% 0.19/0.44 fof(f687,plain,(
% 0.19/0.44 spl0_8 <=> v2_lattice3(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f689,plain,(
% 0.19/0.44 ~v2_lattice3(sk0_0)|spl0_8),
% 0.19/0.44 inference(component_clause,[status(thm)],[f687])).
% 0.19/0.44 fof(f690,plain,(
% 0.19/0.44 spl0_9 <=> v3_lattice3(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f692,plain,(
% 0.19/0.44 ~v3_lattice3(sk0_0)|spl0_9),
% 0.19/0.44 inference(component_clause,[status(thm)],[f690])).
% 0.19/0.44 fof(f693,plain,(
% 0.19/0.44 spl0_10 <=> v3_waybel_3(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f695,plain,(
% 0.19/0.44 ~v3_waybel_3(sk0_0)|spl0_10),
% 0.19/0.44 inference(component_clause,[status(thm)],[f693])).
% 0.19/0.44 fof(f696,plain,(
% 0.19/0.44 spl0_11 <=> l1_orders_2(sk0_0)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f698,plain,(
% 0.19/0.44 ~l1_orders_2(sk0_0)|spl0_11),
% 0.19/0.44 inference(component_clause,[status(thm)],[f696])).
% 0.19/0.44 fof(f699,plain,(
% 0.19/0.44 spl0_12 <=> v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f701,plain,(
% 0.19/0.44 ~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_12),
% 0.19/0.44 inference(component_clause,[status(thm)],[f699])).
% 0.19/0.44 fof(f702,plain,(
% 0.19/0.44 spl0_13 <=> v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f704,plain,(
% 0.19/0.44 ~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_13),
% 0.19/0.44 inference(component_clause,[status(thm)],[f702])).
% 0.19/0.44 fof(f705,plain,(
% 0.19/0.44 spl0_14 <=> v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f707,plain,(
% 0.19/0.44 ~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_14),
% 0.19/0.44 inference(component_clause,[status(thm)],[f705])).
% 0.19/0.44 fof(f708,plain,(
% 0.19/0.44 spl0_15 <=> v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f710,plain,(
% 0.19/0.44 ~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_15),
% 0.19/0.44 inference(component_clause,[status(thm)],[f708])).
% 0.19/0.44 fof(f711,plain,(
% 0.19/0.44 spl0_16 <=> v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f713,plain,(
% 0.19/0.44 ~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_16),
% 0.19/0.44 inference(component_clause,[status(thm)],[f711])).
% 0.19/0.44 fof(f714,plain,(
% 0.19/0.44 spl0_17 <=> v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f716,plain,(
% 0.19/0.44 ~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_17),
% 0.19/0.44 inference(component_clause,[status(thm)],[f714])).
% 0.19/0.44 fof(f717,plain,(
% 0.19/0.44 spl0_18 <=> v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f719,plain,(
% 0.19/0.44 ~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_18),
% 0.19/0.44 inference(component_clause,[status(thm)],[f717])).
% 0.19/0.44 fof(f720,plain,(
% 0.19/0.44 spl0_19 <=> l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f722,plain,(
% 0.19/0.44 ~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_19),
% 0.19/0.44 inference(component_clause,[status(thm)],[f720])).
% 0.19/0.44 fof(f723,plain,(
% 0.19/0.44 spl0_20 <=> ~r1_waybel22(sk0_0,X0)|~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))),X1)|~k1_card_1(X0)=k1_card_1(X1)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f724,plain,(
% 0.19/0.44 ![X0,X1]: (~r1_waybel22(sk0_0,X0)|~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))),X1)|~k1_card_1(X0)=k1_card_1(X1)|~spl0_20)),
% 0.19/0.44 inference(component_clause,[status(thm)],[f723])).
% 0.19/0.44 fof(f726,plain,(
% 0.19/0.44 ![X0,X1]: (~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)|~v3_waybel_3(sk0_0)|~l1_orders_2(sk0_0)|~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~r1_waybel22(sk0_0,X0)|~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))),X1)|~k1_card_1(X0)=k1_card_1(X1))),
% 0.19/0.44 inference(resolution,[status(thm)],[f625,f136])).
% 0.19/0.44 fof(f727,plain,(
% 0.19/0.44 ~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_11|~spl0_12|~spl0_13|~spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|spl0_20),
% 0.19/0.44 inference(split_clause,[status(thm)],[f726,f675,f678,f681,f684,f687,f690,f693,f696,f699,f702,f705,f708,f711,f714,f717,f720,f723])).
% 0.19/0.44 fof(f728,plain,(
% 0.19/0.44 $false|spl0_19),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f722,f310])).
% 0.19/0.44 fof(f729,plain,(
% 0.19/0.44 spl0_19),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f728])).
% 0.19/0.44 fof(f744,plain,(
% 0.19/0.44 spl0_23 <=> v2_orders_2(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f746,plain,(
% 0.19/0.44 ~v2_orders_2(k3_yellow_1(sk0_1))|spl0_23),
% 0.19/0.44 inference(component_clause,[status(thm)],[f744])).
% 0.19/0.44 fof(f747,plain,(
% 0.19/0.44 spl0_24 <=> v3_orders_2(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f749,plain,(
% 0.19/0.44 ~v3_orders_2(k3_yellow_1(sk0_1))|spl0_24),
% 0.19/0.44 inference(component_clause,[status(thm)],[f747])).
% 0.19/0.44 fof(f750,plain,(
% 0.19/0.44 spl0_25 <=> v4_orders_2(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f752,plain,(
% 0.19/0.44 ~v4_orders_2(k3_yellow_1(sk0_1))|spl0_25),
% 0.19/0.44 inference(component_clause,[status(thm)],[f750])).
% 0.19/0.44 fof(f753,plain,(
% 0.19/0.44 spl0_26 <=> v2_yellow_0(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f755,plain,(
% 0.19/0.44 ~v2_yellow_0(k3_yellow_1(sk0_1))|spl0_26),
% 0.19/0.44 inference(component_clause,[status(thm)],[f753])).
% 0.19/0.44 fof(f756,plain,(
% 0.19/0.44 spl0_27 <=> v2_lattice3(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f758,plain,(
% 0.19/0.44 ~v2_lattice3(k3_yellow_1(sk0_1))|spl0_27),
% 0.19/0.44 inference(component_clause,[status(thm)],[f756])).
% 0.19/0.44 fof(f759,plain,(
% 0.19/0.44 spl0_28 <=> l1_orders_2(k3_yellow_1(sk0_1))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f761,plain,(
% 0.19/0.44 ~l1_orders_2(k3_yellow_1(sk0_1))|spl0_28),
% 0.19/0.44 inference(component_clause,[status(thm)],[f759])).
% 0.19/0.44 fof(f762,plain,(
% 0.19/0.44 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_18),
% 0.19/0.44 inference(resolution,[status(thm)],[f719,f674])).
% 0.19/0.44 fof(f763,plain,(
% 0.19/0.44 ~spl0_23|~spl0_24|~spl0_25|~spl0_26|~spl0_27|~spl0_28|spl0_18),
% 0.19/0.44 inference(split_clause,[status(thm)],[f762,f744,f747,f750,f753,f756,f759,f717])).
% 0.19/0.44 fof(f764,plain,(
% 0.19/0.44 $false|spl0_28),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f761,f313])).
% 0.19/0.44 fof(f765,plain,(
% 0.19/0.44 spl0_28),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f764])).
% 0.19/0.44 fof(f766,plain,(
% 0.19/0.44 $false|spl0_27),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f758,f376])).
% 0.19/0.44 fof(f767,plain,(
% 0.19/0.44 spl0_27),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f766])).
% 0.19/0.44 fof(f768,plain,(
% 0.19/0.44 $false|spl0_26),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f755,f379])).
% 0.19/0.44 fof(f769,plain,(
% 0.19/0.44 spl0_26),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f768])).
% 0.19/0.44 fof(f770,plain,(
% 0.19/0.44 $false|spl0_25),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f752,f374])).
% 0.19/0.44 fof(f771,plain,(
% 0.19/0.44 spl0_25),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f770])).
% 0.19/0.44 fof(f772,plain,(
% 0.19/0.44 $false|spl0_24),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f749,f373])).
% 0.19/0.44 fof(f773,plain,(
% 0.19/0.44 spl0_24),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f772])).
% 0.19/0.44 fof(f774,plain,(
% 0.19/0.44 $false|spl0_23),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f746,f372])).
% 0.19/0.44 fof(f775,plain,(
% 0.19/0.44 spl0_23),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f774])).
% 0.19/0.44 fof(f776,plain,(
% 0.19/0.44 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_17),
% 0.19/0.44 inference(resolution,[status(thm)],[f716,f430])).
% 0.19/0.44 fof(f777,plain,(
% 0.19/0.44 ~spl0_23|~spl0_24|~spl0_25|~spl0_27|~spl0_26|~spl0_28|spl0_17),
% 0.19/0.44 inference(split_clause,[status(thm)],[f776,f744,f747,f750,f756,f753,f759,f714])).
% 0.19/0.44 fof(f788,plain,(
% 0.19/0.44 spl0_31 <=> v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f789,plain,(
% 0.19/0.44 v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~spl0_31),
% 0.19/0.44 inference(component_clause,[status(thm)],[f788])).
% 0.19/0.44 fof(f798,plain,(
% 0.19/0.44 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_16),
% 0.19/0.44 inference(resolution,[status(thm)],[f713,f429])).
% 0.19/0.44 fof(f799,plain,(
% 0.19/0.44 ~spl0_23|~spl0_24|~spl0_25|~spl0_27|~spl0_26|~spl0_28|spl0_16),
% 0.19/0.44 inference(split_clause,[status(thm)],[f798,f744,f747,f750,f756,f753,f759,f711])).
% 0.19/0.44 fof(f804,plain,(
% 0.19/0.44 $false|spl0_11),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f698,f133])).
% 0.19/0.44 fof(f805,plain,(
% 0.19/0.44 spl0_11),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f804])).
% 0.19/0.44 fof(f806,plain,(
% 0.19/0.44 $false|spl0_10),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f695,f132])).
% 0.19/0.44 fof(f807,plain,(
% 0.19/0.44 spl0_10),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f806])).
% 0.19/0.44 fof(f808,plain,(
% 0.19/0.44 $false|spl0_9),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f692,f131])).
% 0.19/0.44 fof(f809,plain,(
% 0.19/0.44 spl0_9),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f808])).
% 0.19/0.44 fof(f810,plain,(
% 0.19/0.44 $false|spl0_8),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f689,f130])).
% 0.19/0.44 fof(f811,plain,(
% 0.19/0.44 spl0_8),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f810])).
% 0.19/0.44 fof(f812,plain,(
% 0.19/0.44 $false|spl0_7),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f686,f129])).
% 0.19/0.44 fof(f813,plain,(
% 0.19/0.44 spl0_7),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f812])).
% 0.19/0.44 fof(f814,plain,(
% 0.19/0.44 $false|spl0_6),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f683,f128])).
% 0.19/0.44 fof(f815,plain,(
% 0.19/0.44 spl0_6),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f814])).
% 0.19/0.45 fof(f816,plain,(
% 0.19/0.45 $false|spl0_5),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f680,f127])).
% 0.19/0.45 fof(f817,plain,(
% 0.19/0.45 spl0_5),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f816])).
% 0.19/0.45 fof(f818,plain,(
% 0.19/0.45 $false|spl0_4),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f677,f126])).
% 0.19/0.45 fof(f819,plain,(
% 0.19/0.45 spl0_4),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f818])).
% 0.19/0.45 fof(f824,plain,(
% 0.19/0.45 ~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|spl0_15),
% 0.19/0.45 inference(resolution,[status(thm)],[f710,f196])).
% 0.19/0.45 fof(f825,plain,(
% 0.19/0.45 ~spl0_19|spl0_31|~spl0_17|spl0_15),
% 0.19/0.45 inference(split_clause,[status(thm)],[f824,f720,f788,f714,f708])).
% 0.19/0.45 fof(f826,plain,(
% 0.19/0.45 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_14),
% 0.19/0.45 inference(resolution,[status(thm)],[f707,f428])).
% 0.19/0.45 fof(f827,plain,(
% 0.19/0.45 ~spl0_23|~spl0_24|~spl0_25|~spl0_27|~spl0_26|~spl0_28|spl0_14),
% 0.19/0.45 inference(split_clause,[status(thm)],[f826,f744,f747,f750,f756,f753,f759,f705])).
% 0.19/0.45 fof(f828,plain,(
% 0.19/0.45 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_13),
% 0.19/0.45 inference(resolution,[status(thm)],[f704,f427])).
% 0.19/0.45 fof(f829,plain,(
% 0.19/0.45 ~spl0_23|~spl0_24|~spl0_25|~spl0_27|~spl0_26|~spl0_28|spl0_13),
% 0.19/0.45 inference(split_clause,[status(thm)],[f828,f744,f747,f750,f756,f753,f759,f702])).
% 0.19/0.45 fof(f830,plain,(
% 0.19/0.45 ~v2_orders_2(k3_yellow_1(sk0_1))|~v3_orders_2(k3_yellow_1(sk0_1))|~v4_orders_2(k3_yellow_1(sk0_1))|~v2_lattice3(k3_yellow_1(sk0_1))|~v2_yellow_0(k3_yellow_1(sk0_1))|~l1_orders_2(k3_yellow_1(sk0_1))|spl0_12),
% 0.19/0.45 inference(resolution,[status(thm)],[f701,f426])).
% 0.19/0.45 fof(f831,plain,(
% 0.19/0.45 ~spl0_23|~spl0_24|~spl0_25|~spl0_27|~spl0_26|~spl0_28|spl0_12),
% 0.19/0.45 inference(split_clause,[status(thm)],[f830,f744,f747,f750,f756,f753,f759,f699])).
% 0.19/0.45 fof(f832,plain,(
% 0.19/0.45 ![X0]: (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))),X0)|~k1_card_1(sk0_2)=k1_card_1(X0)|~spl0_20)),
% 0.19/0.45 inference(resolution,[status(thm)],[f724,f134])).
% 0.19/0.45 fof(f833,plain,(
% 0.19/0.45 ![X0]: (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))),X0)|~k1_card_1(sk0_1)=k1_card_1(X0)|~spl0_20)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f135,f832])).
% 0.19/0.45 fof(f836,plain,(
% 0.19/0.45 ~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sk0_1))))|~spl0_31),
% 0.19/0.45 inference(resolution,[status(thm)],[f789,f211])).
% 0.19/0.45 fof(f837,plain,(
% 0.19/0.45 ~spl0_19|~spl0_16|~spl0_31),
% 0.19/0.45 inference(split_clause,[status(thm)],[f836,f720,f711,f788])).
% 0.19/0.45 fof(f840,plain,(
% 0.19/0.45 ~k1_card_1(sk0_1)=k1_card_1(k1_waybel22(sk0_1))|~spl0_20),
% 0.19/0.45 inference(resolution,[status(thm)],[f833,f622])).
% 0.19/0.45 fof(f1050,plain,(
% 0.19/0.45 ~k1_card_1(sk0_1)=k1_card_1(sk0_1)|~spl0_20),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f621,f840])).
% 0.19/0.45 fof(f1051,plain,(
% 0.19/0.45 $false|~spl0_20),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f1050])).
% 0.19/0.45 fof(f1052,plain,(
% 0.19/0.45 ~spl0_20),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f1051])).
% 0.19/0.45 fof(f1053,plain,(
% 0.19/0.45 $false),
% 0.19/0.45 inference(sat_refutation,[status(thm)],[f727,f729,f763,f765,f767,f769,f771,f773,f775,f777,f799,f805,f807,f809,f811,f813,f815,f817,f819,f825,f827,f829,f831,f837,f1052])).
% 0.19/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.45 % Elapsed time: 0.104817 seconds
% 0.19/0.45 % CPU time: 0.598362 seconds
% 0.19/0.45 % Total memory used: 76.964 MB
% 0.19/0.45 % Net memory used: 76.625 MB
%------------------------------------------------------------------------------