TSTP Solution File: LAT347+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:25:55 EDT 2024
% Result : Theorem 0.15s 0.53s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n008.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:57:42 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 0.15/0.53 % Refutation found
% 0.15/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.53 fof(f1,conjecture,(
% 0.15/0.53 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v2_yellow_0(A)& v2_lattice3(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A)))& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A))))) )=> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B) ) )) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f2,negated_conjecture,(
% 0.15/0.53 ~((! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v2_yellow_0(A)& v2_lattice3(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A)))& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A))))) )=> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B) ) )) ))),
% 0.15/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.53 fof(f15,axiom,(
% 0.15/0.53 (! [A] :( l1_orders_2(A)=> ( v2_lattice3(A)=> ~ v3_struct_0(A) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f32,axiom,(
% 0.15/0.53 (! [A] :( l1_orders_2(A)=> ( v1_orders_2(k7_lattice3(A))& l1_orders_2(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f48,axiom,(
% 0.15/0.53 (! [A] :( ( v2_yellow_0(A)& l1_orders_2(A) )=> ( v1_orders_2(k7_lattice3(A))& v1_yellow_0(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f53,axiom,(
% 0.15/0.53 (! [A] :( ( v2_orders_2(A)& l1_orders_2(A) )=> ( v1_orders_2(k7_lattice3(A))& v2_orders_2(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f55,axiom,(
% 0.15/0.53 (! [A] :( ( v3_orders_2(A)& l1_orders_2(A) )=> ( v1_orders_2(k7_lattice3(A))& v3_orders_2(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f57,axiom,(
% 0.15/0.53 (! [A] :( ( v4_orders_2(A)& l1_orders_2(A) )=> ( v1_orders_2(k7_lattice3(A))& v4_orders_2(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f62,axiom,(
% 0.15/0.53 (! [A] :( ( v2_lattice3(A)& l1_orders_2(A) )=> ( ~ v3_struct_0(k7_lattice3(A))& v1_orders_2(k7_lattice3(A))& v1_lattice3(k7_lattice3(A)) ) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f106,axiom,(
% 0.15/0.53 (! [A] :( ( ~ v3_struct_0(A)& v2_orders_2(A)& v3_orders_2(A)& l1_orders_2(A) )=> k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A)) ) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f108,axiom,(
% 0.15/0.53 (! [A] :( ( v2_orders_2(A)& v3_orders_2(A)& v4_orders_2(A)& v1_lattice3(A)& v1_yellow_0(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A)))& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) )=> k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B) ) )) )),
% 0.15/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.53 fof(f109,plain,(
% 0.15/0.53 (?[A]: ((((((v2_orders_2(A)&v3_orders_2(A))&v4_orders_2(A))&v2_yellow_0(A))&v2_lattice3(A))&l1_orders_2(A))&(?[B]: (((~v1_xboole_0(B)&v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A))))&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A))))))&~k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B)=k3_tarski(B)))))),
% 0.15/0.53 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.53 fof(f110,plain,(
% 0.15/0.53 ((((((v2_orders_2(sk0_0)&v3_orders_2(sk0_0))&v4_orders_2(sk0_0))&v2_yellow_0(sk0_0))&v2_lattice3(sk0_0))&l1_orders_2(sk0_0))&(((~v1_xboole_0(sk0_1)&v1_waybel_0(sk0_1,k2_yellow_1(k9_waybel_0(sk0_0))))&m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0))))))&~k1_yellow_0(k2_yellow_1(k9_waybel_0(sk0_0)),sk0_1)=k3_tarski(sk0_1)))),
% 0.15/0.53 inference(skolemization,[status(esa)],[f109])).
% 0.15/0.53 fof(f111,plain,(
% 0.15/0.53 v2_orders_2(sk0_0)),
% 0.15/0.53 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.53 fof(f112,plain,(
% 0.15/0.53 v3_orders_2(sk0_0)),
% 0.15/0.53 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.53 fof(f113,plain,(
% 0.15/0.53 v4_orders_2(sk0_0)),
% 0.15/0.53 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.53 fof(f114,plain,(
% 0.15/0.53 v2_yellow_0(sk0_0)),
% 0.15/0.53 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.53 fof(f115,plain,(
% 0.15/0.53 v2_lattice3(sk0_0)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f116,plain,(
% 0.15/0.54 l1_orders_2(sk0_0)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f117,plain,(
% 0.15/0.54 ~v1_xboole_0(sk0_1)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f118,plain,(
% 0.15/0.54 v1_waybel_0(sk0_1,k2_yellow_1(k9_waybel_0(sk0_0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f119,plain,(
% 0.15/0.54 m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f120,plain,(
% 0.15/0.54 ~k1_yellow_0(k2_yellow_1(k9_waybel_0(sk0_0)),sk0_1)=k3_tarski(sk0_1)),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f110])).
% 0.15/0.54 fof(f171,plain,(
% 0.15/0.54 ![A]: (~l1_orders_2(A)|(~v2_lattice3(A)|~v3_struct_0(A)))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.54 fof(f172,plain,(
% 0.15/0.54 ![X0]: (~l1_orders_2(X0)|~v2_lattice3(X0)|~v3_struct_0(X0))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f171])).
% 0.15/0.54 fof(f205,plain,(
% 0.15/0.54 ![A]: (~l1_orders_2(A)|(v1_orders_2(k7_lattice3(A))&l1_orders_2(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.15/0.54 fof(f207,plain,(
% 0.15/0.54 ![X0]: (~l1_orders_2(X0)|l1_orders_2(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f205])).
% 0.15/0.54 fof(f229,plain,(
% 0.15/0.54 ![A]: ((~v2_yellow_0(A)|~l1_orders_2(A))|(v1_orders_2(k7_lattice3(A))&v1_yellow_0(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.15/0.54 fof(f231,plain,(
% 0.15/0.54 ![X0]: (~v2_yellow_0(X0)|~l1_orders_2(X0)|v1_yellow_0(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f229])).
% 0.15/0.54 fof(f238,plain,(
% 0.15/0.54 ![A]: ((~v2_orders_2(A)|~l1_orders_2(A))|(v1_orders_2(k7_lattice3(A))&v2_orders_2(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.15/0.54 fof(f240,plain,(
% 0.15/0.54 ![X0]: (~v2_orders_2(X0)|~l1_orders_2(X0)|v2_orders_2(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f238])).
% 0.15/0.54 fof(f252,plain,(
% 0.15/0.54 ![A]: ((~v3_orders_2(A)|~l1_orders_2(A))|(v1_orders_2(k7_lattice3(A))&v3_orders_2(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.15/0.54 fof(f254,plain,(
% 0.15/0.54 ![X0]: (~v3_orders_2(X0)|~l1_orders_2(X0)|v3_orders_2(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f252])).
% 0.15/0.54 fof(f258,plain,(
% 0.15/0.54 ![A]: ((~v4_orders_2(A)|~l1_orders_2(A))|(v1_orders_2(k7_lattice3(A))&v4_orders_2(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.54 fof(f260,plain,(
% 0.15/0.54 ![X0]: (~v4_orders_2(X0)|~l1_orders_2(X0)|v4_orders_2(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f258])).
% 0.15/0.54 fof(f275,plain,(
% 0.15/0.54 ![A]: ((~v2_lattice3(A)|~l1_orders_2(A))|((~v3_struct_0(k7_lattice3(A))&v1_orders_2(k7_lattice3(A)))&v1_lattice3(k7_lattice3(A))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 0.15/0.54 fof(f278,plain,(
% 0.15/0.54 ![X0]: (~v2_lattice3(X0)|~l1_orders_2(X0)|v1_lattice3(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f275])).
% 0.15/0.54 fof(f481,plain,(
% 0.15/0.54 ![A]: ((((v3_struct_0(A)|~v2_orders_2(A))|~v3_orders_2(A))|~l1_orders_2(A))|k9_waybel_0(A)=k8_waybel_0(k7_lattice3(A)))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 0.15/0.54 fof(f482,plain,(
% 0.15/0.54 ![X0]: (v3_struct_0(X0)|~v2_orders_2(X0)|~v3_orders_2(X0)|~l1_orders_2(X0)|k9_waybel_0(X0)=k8_waybel_0(k7_lattice3(X0)))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f481])).
% 0.15/0.54 fof(f486,plain,(
% 0.15/0.54 ![A]: ((((((~v2_orders_2(A)|~v3_orders_2(A))|~v4_orders_2(A))|~v1_lattice3(A))|~v1_yellow_0(A))|~l1_orders_2(A))|(![B]: (((v1_xboole_0(B)|~v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B)=k3_tarski(B))))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(esa)],[f108])).
% 0.15/0.54 fof(f487,plain,(
% 0.15/0.54 ![X0,X1]: (~v2_orders_2(X0)|~v3_orders_2(X0)|~v4_orders_2(X0)|~v1_lattice3(X0)|~v1_yellow_0(X0)|~l1_orders_2(X0)|v1_xboole_0(X1)|~v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)=k3_tarski(X1))),
% 0.15/0.54 inference(cnf_transformation,[status(esa)],[f486])).
% 0.15/0.54 fof(f797,plain,(
% 0.15/0.54 spl0_35 <=> v3_struct_0(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f798,plain,(
% 0.15/0.54 v3_struct_0(sk0_0)|~spl0_35),
% 0.15/0.54 inference(component_clause,[status(thm)],[f797])).
% 0.15/0.54 fof(f800,plain,(
% 0.15/0.54 spl0_36 <=> v2_orders_2(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f802,plain,(
% 0.15/0.54 ~v2_orders_2(sk0_0)|spl0_36),
% 0.15/0.54 inference(component_clause,[status(thm)],[f800])).
% 0.15/0.54 fof(f803,plain,(
% 0.15/0.54 spl0_37 <=> l1_orders_2(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f805,plain,(
% 0.15/0.54 ~l1_orders_2(sk0_0)|spl0_37),
% 0.15/0.54 inference(component_clause,[status(thm)],[f803])).
% 0.15/0.54 fof(f811,plain,(
% 0.15/0.54 $false|spl0_37),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f805,f116])).
% 0.15/0.54 fof(f812,plain,(
% 0.15/0.54 spl0_37),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f811])).
% 0.15/0.54 fof(f813,plain,(
% 0.15/0.54 $false|spl0_36),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f802,f111])).
% 0.15/0.54 fof(f814,plain,(
% 0.15/0.54 spl0_36),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f813])).
% 0.15/0.54 fof(f843,plain,(
% 0.15/0.54 spl0_40 <=> v2_lattice3(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f845,plain,(
% 0.15/0.54 ~v2_lattice3(sk0_0)|spl0_40),
% 0.15/0.54 inference(component_clause,[status(thm)],[f843])).
% 0.15/0.54 fof(f846,plain,(
% 0.15/0.54 ~l1_orders_2(sk0_0)|~v2_lattice3(sk0_0)|~spl0_35),
% 0.15/0.54 inference(resolution,[status(thm)],[f798,f172])).
% 0.15/0.54 fof(f847,plain,(
% 0.15/0.54 ~spl0_37|~spl0_40|~spl0_35),
% 0.15/0.54 inference(split_clause,[status(thm)],[f846,f803,f843,f797])).
% 0.15/0.54 fof(f848,plain,(
% 0.15/0.54 $false|spl0_40),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f845,f115])).
% 0.15/0.54 fof(f849,plain,(
% 0.15/0.54 spl0_40),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f848])).
% 0.15/0.54 fof(f866,plain,(
% 0.15/0.54 spl0_43 <=> v1_xboole_0(sk0_1)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f867,plain,(
% 0.15/0.54 v1_xboole_0(sk0_1)|~spl0_43),
% 0.15/0.54 inference(component_clause,[status(thm)],[f866])).
% 0.15/0.54 fof(f874,plain,(
% 0.15/0.54 $false|~spl0_43),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f867,f117])).
% 0.15/0.54 fof(f875,plain,(
% 0.15/0.54 ~spl0_43),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f874])).
% 0.15/0.54 fof(f1895,plain,(
% 0.15/0.54 spl0_140 <=> k9_waybel_0(sk0_0)=k8_waybel_0(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f1896,plain,(
% 0.15/0.54 k9_waybel_0(sk0_0)=k8_waybel_0(k7_lattice3(sk0_0))|~spl0_140),
% 0.15/0.54 inference(component_clause,[status(thm)],[f1895])).
% 0.15/0.54 fof(f1898,plain,(
% 0.15/0.54 v3_struct_0(sk0_0)|~v2_orders_2(sk0_0)|~l1_orders_2(sk0_0)|k9_waybel_0(sk0_0)=k8_waybel_0(k7_lattice3(sk0_0))),
% 0.15/0.54 inference(resolution,[status(thm)],[f482,f112])).
% 0.15/0.54 fof(f1899,plain,(
% 0.15/0.54 spl0_35|~spl0_36|~spl0_37|spl0_140),
% 0.15/0.54 inference(split_clause,[status(thm)],[f1898,f797,f800,f803,f1895])).
% 0.15/0.54 fof(f2003,plain,(
% 0.15/0.54 spl0_166 <=> v4_orders_2(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2005,plain,(
% 0.15/0.54 ~v4_orders_2(sk0_0)|spl0_166),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2003])).
% 0.15/0.54 fof(f2006,plain,(
% 0.15/0.54 spl0_167 <=> v2_yellow_0(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2008,plain,(
% 0.15/0.54 ~v2_yellow_0(sk0_0)|spl0_167),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2006])).
% 0.15/0.54 fof(f2014,plain,(
% 0.15/0.54 $false|spl0_167),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2008,f114])).
% 0.15/0.54 fof(f2015,plain,(
% 0.15/0.54 spl0_167),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2014])).
% 0.15/0.54 fof(f2016,plain,(
% 0.15/0.54 $false|spl0_166),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2005,f113])).
% 0.15/0.54 fof(f2017,plain,(
% 0.15/0.54 spl0_166),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2016])).
% 0.15/0.54 fof(f2188,plain,(
% 0.15/0.54 spl0_213 <=> v2_orders_2(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2190,plain,(
% 0.15/0.54 ~v2_orders_2(k7_lattice3(sk0_0))|spl0_213),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2188])).
% 0.15/0.54 fof(f2191,plain,(
% 0.15/0.54 spl0_214 <=> v3_orders_2(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2193,plain,(
% 0.15/0.54 ~v3_orders_2(k7_lattice3(sk0_0))|spl0_214),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2191])).
% 0.15/0.54 fof(f2194,plain,(
% 0.15/0.54 spl0_215 <=> v4_orders_2(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2196,plain,(
% 0.15/0.54 ~v4_orders_2(k7_lattice3(sk0_0))|spl0_215),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2194])).
% 0.15/0.54 fof(f2197,plain,(
% 0.15/0.54 spl0_216 <=> v1_lattice3(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2199,plain,(
% 0.15/0.54 ~v1_lattice3(k7_lattice3(sk0_0))|spl0_216),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2197])).
% 0.15/0.54 fof(f2200,plain,(
% 0.15/0.54 spl0_217 <=> v1_yellow_0(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2202,plain,(
% 0.15/0.54 ~v1_yellow_0(k7_lattice3(sk0_0))|spl0_217),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2200])).
% 0.15/0.54 fof(f2203,plain,(
% 0.15/0.54 spl0_218 <=> l1_orders_2(k7_lattice3(sk0_0))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2205,plain,(
% 0.15/0.54 ~l1_orders_2(k7_lattice3(sk0_0))|spl0_218),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2203])).
% 0.15/0.54 fof(f2267,plain,(
% 0.15/0.54 spl0_234 <=> v1_xboole_0(X0)|~v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))))|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),X0)=k3_tarski(X0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2268,plain,(
% 0.15/0.54 ![X0]: (v1_xboole_0(X0)|~v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))))|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),X0)=k3_tarski(X0)|~spl0_234)),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2267])).
% 0.15/0.54 fof(f2270,plain,(
% 0.15/0.54 ![X0]: (~v2_orders_2(k7_lattice3(sk0_0))|~v3_orders_2(k7_lattice3(sk0_0))|~v4_orders_2(k7_lattice3(sk0_0))|~v1_lattice3(k7_lattice3(sk0_0))|~v1_yellow_0(k7_lattice3(sk0_0))|~l1_orders_2(k7_lattice3(sk0_0))|v1_xboole_0(X0)|~v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))))|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),X0)=k3_tarski(X0)|~spl0_140)),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f1896,f487])).
% 0.15/0.54 fof(f2271,plain,(
% 0.15/0.54 ~spl0_213|~spl0_214|~spl0_215|~spl0_216|~spl0_217|~spl0_218|spl0_234|~spl0_140),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2270,f2188,f2191,f2194,f2197,f2200,f2203,f2267,f1895])).
% 0.15/0.54 fof(f2728,plain,(
% 0.15/0.54 ~l1_orders_2(sk0_0)|spl0_218),
% 0.15/0.54 inference(resolution,[status(thm)],[f2205,f207])).
% 0.15/0.54 fof(f2729,plain,(
% 0.15/0.54 ~spl0_37|spl0_218),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2728,f803,f2203])).
% 0.15/0.54 fof(f2730,plain,(
% 0.15/0.54 ~v2_yellow_0(sk0_0)|~l1_orders_2(sk0_0)|spl0_217),
% 0.15/0.54 inference(resolution,[status(thm)],[f2202,f231])).
% 0.15/0.54 fof(f2731,plain,(
% 0.15/0.54 ~spl0_167|~spl0_37|spl0_217),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2730,f2006,f803,f2200])).
% 0.15/0.54 fof(f2745,plain,(
% 0.15/0.54 ~v2_lattice3(sk0_0)|~l1_orders_2(sk0_0)|spl0_216),
% 0.15/0.54 inference(resolution,[status(thm)],[f2199,f278])).
% 0.15/0.54 fof(f2746,plain,(
% 0.15/0.54 ~spl0_40|~spl0_37|spl0_216),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2745,f843,f803,f2197])).
% 0.15/0.54 fof(f2758,plain,(
% 0.15/0.54 spl0_286 <=> v3_orders_2(sk0_0)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2760,plain,(
% 0.15/0.54 ~v3_orders_2(sk0_0)|spl0_286),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2758])).
% 0.15/0.54 fof(f2761,plain,(
% 0.15/0.54 ~v3_orders_2(sk0_0)|~l1_orders_2(sk0_0)|spl0_214),
% 0.15/0.54 inference(resolution,[status(thm)],[f2193,f254])).
% 0.15/0.54 fof(f2762,plain,(
% 0.15/0.54 ~spl0_286|~spl0_37|spl0_214),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2761,f2758,f803,f2191])).
% 0.15/0.54 fof(f2763,plain,(
% 0.15/0.54 $false|spl0_286),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2760,f112])).
% 0.15/0.54 fof(f2764,plain,(
% 0.15/0.54 spl0_286),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2763])).
% 0.15/0.54 fof(f2778,plain,(
% 0.15/0.54 ~v4_orders_2(sk0_0)|~l1_orders_2(sk0_0)|spl0_215),
% 0.15/0.54 inference(resolution,[status(thm)],[f2196,f260])).
% 0.15/0.54 fof(f2779,plain,(
% 0.15/0.54 ~spl0_166|~spl0_37|spl0_215),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2778,f2003,f803,f2194])).
% 0.15/0.54 fof(f2797,plain,(
% 0.15/0.54 ~v2_orders_2(sk0_0)|~l1_orders_2(sk0_0)|spl0_213),
% 0.15/0.54 inference(resolution,[status(thm)],[f2190,f240])).
% 0.15/0.54 fof(f2798,plain,(
% 0.15/0.54 ~spl0_36|~spl0_37|spl0_213),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2797,f800,f803,f2188])).
% 0.15/0.54 fof(f2830,plain,(
% 0.15/0.54 ![X0]: (v1_xboole_0(X0)|~v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sk0_0)))|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),X0)=k3_tarski(X0)|~spl0_234|~spl0_140)),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f1896,f2268])).
% 0.15/0.54 fof(f2864,plain,(
% 0.15/0.54 spl0_308 <=> m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2866,plain,(
% 0.15/0.54 ~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|spl0_308),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2864])).
% 0.15/0.54 fof(f2867,plain,(
% 0.15/0.54 spl0_309 <=> k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),sk0_1)=k3_tarski(sk0_1)),
% 0.15/0.54 introduced(split_symbol_definition)).
% 0.15/0.54 fof(f2868,plain,(
% 0.15/0.54 k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),sk0_1)=k3_tarski(sk0_1)|~spl0_309),
% 0.15/0.54 inference(component_clause,[status(thm)],[f2867])).
% 0.15/0.54 fof(f2870,plain,(
% 0.15/0.54 v1_xboole_0(sk0_1)|~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sk0_0)))))|k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sk0_0))),sk0_1)=k3_tarski(sk0_1)|~spl0_234|~spl0_140),
% 0.15/0.54 inference(resolution,[status(thm)],[f2830,f118])).
% 0.15/0.54 fof(f2871,plain,(
% 0.15/0.54 spl0_43|~spl0_308|spl0_309|~spl0_234|~spl0_140),
% 0.15/0.54 inference(split_clause,[status(thm)],[f2870,f866,f2864,f2867,f2267,f1895])).
% 0.15/0.54 fof(f2872,plain,(
% 0.15/0.54 $false|spl0_308),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2866,f119])).
% 0.15/0.54 fof(f2873,plain,(
% 0.15/0.54 spl0_308),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2872])).
% 0.15/0.54 fof(f2958,plain,(
% 0.15/0.54 k1_yellow_0(k2_yellow_1(k9_waybel_0(sk0_0)),sk0_1)=k3_tarski(sk0_1)|~spl0_309|~spl0_140),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f1896,f2868])).
% 0.15/0.54 fof(f2959,plain,(
% 0.15/0.54 $false|~spl0_309|~spl0_140),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2958,f120])).
% 0.15/0.54 fof(f2960,plain,(
% 0.15/0.54 ~spl0_309|~spl0_140),
% 0.15/0.54 inference(contradiction_clause,[status(thm)],[f2959])).
% 0.15/0.54 fof(f2961,plain,(
% 0.15/0.54 $false),
% 0.15/0.54 inference(sat_refutation,[status(thm)],[f812,f814,f847,f849,f875,f1899,f2015,f2017,f2271,f2729,f2731,f2746,f2762,f2764,f2779,f2798,f2871,f2873,f2960])).
% 0.15/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.227484 seconds
% 0.15/0.55 % CPU time: 1.660332 seconds
% 0.15/0.55 % Total memory used: 84.518 MB
% 0.15/0.55 % Net memory used: 83.865 MB
%------------------------------------------------------------------------------