TSTP Solution File: GRP644+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP644+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:12:24 EDT 2023
% Result : Theorem 55.77s 12.72s
% Output : CNFRefutation 63.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP644+4 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:42:00 EDT 2023
% 0.11/0.32 % CPUTime :
% 6.05/6.23 % Drodi V3.5.1
% 55.77/12.72 % Refutation found
% 55.77/12.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 55.77/12.72 % SZS output start CNFRefutation for theBenchmark
% 55.77/12.72 fof(f9,axiom,(
% 55.77/12.72 (! [A,B] :( B = k3_tarski(A)<=> (! [C] :( r2_hidden(C,B)<=> (? [D] :( r2_hidden(C,D)& r2_hidden(D,A) ) )) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f1276,axiom,(
% 55.77/12.72 (! [A,B,C] :~ ( r2_hidden(A,B)& r2_hidden(B,C)& r2_hidden(C,A) ) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f18994,axiom,(
% 55.77/12.72 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f21806,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> v4_group_1(B) ) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f21871,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_group_2(C,A)=> ( r1_rlvect_1(C,B)=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) )) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f21874,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_group_2(A,A) ) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f21876,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( ~ v3_struct_0(C)& v3_group_1(C)& v4_group_1(C)& l1_group_1(C) )=> ( ( m1_group_2(A,B)& m1_group_2(B,C) )=> m1_group_2(A,C) ) ) )) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f22007,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> ( ~ v3_struct_0(B)& v3_group_1(B)& l1_group_1(B) ) ) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f36508,axiom,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=> r1_rlvect_1(B,C) ) ) )) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f36512,conjecture,(
% 55.77/12.72 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) )),
% 55.77/12.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 55.77/12.72 fof(f36513,negated_conjecture,(
% 55.77/12.72 ~((! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) ))),
% 55.77/12.72 inference(negated_conjecture,[status(cth)],[f36512])).
% 55.77/12.72 fof(f36544,plain,(
% 55.77/12.72 ![A,B]: ((~B=k3_tarski(A)|(![C]: ((~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))&(r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A)))))))&(B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 55.77/12.72 inference(NNF_transformation,[status(esa)],[f9])).
% 55.77/12.72 fof(f36545,plain,(
% 55.77/12.72 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A)))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 55.77/12.72 inference(miniscoping,[status(esa)],[f36544])).
% 55.77/12.72 fof(f36546,plain,(
% 55.77/12.72 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(r2_hidden(C,sk0_4(C,B,A))&r2_hidden(sk0_4(C,B,A),A))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|((~r2_hidden(sk0_5(B,A),B)|(![D]: (~r2_hidden(sk0_5(B,A),D)|~r2_hidden(D,A))))&(r2_hidden(sk0_5(B,A),B)|(r2_hidden(sk0_5(B,A),sk0_6(B,A))&r2_hidden(sk0_6(B,A),A))))))),
% 55.77/12.72 inference(skolemization,[status(esa)],[f36545])).
% 55.77/12.72 fof(f36547,plain,(
% 55.77/12.72 ![X0,X1,X2]: (~X0=k3_tarski(X1)|~r2_hidden(X2,X0)|r2_hidden(X2,sk0_4(X2,X0,X1)))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f36546])).
% 55.77/12.72 fof(f36548,plain,(
% 55.77/12.72 ![X0,X1,X2]: (~X0=k3_tarski(X1)|~r2_hidden(X2,X0)|r2_hidden(sk0_4(X2,X0,X1),X1))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f36546])).
% 55.77/12.72 fof(f39509,plain,(
% 55.77/12.72 ![A,B,C]: ((~r2_hidden(A,B)|~r2_hidden(B,C))|~r2_hidden(C,A))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f1276])).
% 55.77/12.72 fof(f39510,plain,(
% 55.77/12.72 ![A,C]: ((![B]: (~r2_hidden(A,B)|~r2_hidden(B,C)))|~r2_hidden(C,A))),
% 55.77/12.72 inference(miniscoping,[status(esa)],[f39509])).
% 55.77/12.72 fof(f39511,plain,(
% 55.77/12.72 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~r2_hidden(X1,X2)|~r2_hidden(X2,X0))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f39510])).
% 55.77/12.72 fof(f97882,plain,(
% 55.77/12.72 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f18994])).
% 55.77/12.72 fof(f97883,plain,(
% 55.77/12.72 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f97882])).
% 55.77/12.72 fof(f107893,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|v4_group_1(B))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f21806])).
% 55.77/12.72 fof(f107894,plain,(
% 55.77/12.72 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v4_group_1(X1))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f107893])).
% 55.77/12.72 fof(f108064,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_group_2(C,A)|(~r1_rlvect_1(C,B)|r1_rlvect_1(C,k3_group_1(A,B))))))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f21871])).
% 55.77/12.72 fof(f108065,plain,(
% 55.77/12.72 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_group_2(X2,X0)|~r1_rlvect_1(X2,X1)|r1_rlvect_1(X2,k3_group_1(X0,X1)))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108064])).
% 55.77/12.72 fof(f108076,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_group_2(A,A))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f21874])).
% 55.77/12.72 fof(f108077,plain,(
% 55.77/12.72 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_group_2(X0,X0))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108076])).
% 55.77/12.72 fof(f108080,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((((v3_struct_0(B)|~v3_group_1(B))|~v4_group_1(B))|~l1_group_1(B))|(![C]: ((((v3_struct_0(C)|~v3_group_1(C))|~v4_group_1(C))|~l1_group_1(C))|((~m1_group_2(A,B)|~m1_group_2(B,C))|m1_group_2(A,C)))))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f21876])).
% 55.77/12.72 fof(f108081,plain,(
% 55.77/12.72 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108080])).
% 55.77/12.72 fof(f108441,plain,(
% 55.77/12.72 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|((~v3_struct_0(B)&v3_group_1(B))&l1_group_1(B)))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f22007])).
% 55.77/12.72 fof(f108442,plain,(
% 55.77/12.72 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108441])).
% 55.77/12.72 fof(f108443,plain,(
% 55.77/12.72 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108441])).
% 55.77/12.72 fof(f108444,plain,(
% 55.77/12.72 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f108441])).
% 55.77/12.72 fof(f162770,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=>r1_rlvect_1(B,C)))))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f36508])).
% 55.77/12.72 fof(f162771,plain,(
% 55.77/12.72 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|r1_rlvect_1(B,C))&(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|~r1_rlvect_1(B,C))))))))),
% 55.77/12.72 inference(NNF_transformation,[status(esa)],[f162770])).
% 55.77/12.72 fof(f162772,plain,(
% 55.77/12.72 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_group_1(X1)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X0))|~r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))|r1_rlvect_1(X1,X2))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162771])).
% 55.77/12.72 fof(f162773,plain,(
% 55.77/12.72 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_group_1(X1)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X0))|r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))|~r1_rlvect_1(X1,X2))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162771])).
% 55.77/12.72 fof(f162780,plain,(
% 55.77/12.72 (?[A]: ((((~v3_struct_0(A)&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: ((v1_group_1(B)&m1_group_2(B,A))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))&~r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)))))))))),
% 55.77/12.72 inference(pre_NNF_transformation,[status(esa)],[f36513])).
% 55.77/12.72 fof(f162781,plain,(
% 55.77/12.72 ((((~v3_struct_0(sk0_12737)&v3_group_1(sk0_12737))&v4_group_1(sk0_12737))&l1_group_1(sk0_12737))&((v1_group_1(sk0_12738)&m1_group_2(sk0_12738,sk0_12737))&(m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))&(r2_hidden(sk0_12739,k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738))&~r2_hidden(k3_group_1(sk0_12737,sk0_12739),k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738))))))),
% 55.77/12.72 inference(skolemization,[status(esa)],[f162780])).
% 55.77/12.72 fof(f162782,plain,(
% 55.77/12.72 ~v3_struct_0(sk0_12737)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162783,plain,(
% 55.77/12.72 v3_group_1(sk0_12737)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162784,plain,(
% 55.77/12.72 v4_group_1(sk0_12737)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162785,plain,(
% 55.77/12.72 l1_group_1(sk0_12737)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162786,plain,(
% 55.77/12.72 v1_group_1(sk0_12738)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162787,plain,(
% 55.77/12.72 m1_group_2(sk0_12738,sk0_12737)),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162788,plain,(
% 55.77/12.72 m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162789,plain,(
% 55.77/12.72 r2_hidden(sk0_12739,k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f162790,plain,(
% 55.77/12.72 ~r2_hidden(k3_group_1(sk0_12737,sk0_12739),k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738))),
% 55.77/12.72 inference(cnf_transformation,[status(esa)],[f162781])).
% 55.77/12.72 fof(f188040,plain,(
% 55.77/12.72 ![X0,X1]: (~r2_hidden(X0,k3_tarski(X1))|r2_hidden(X0,sk0_4(X0,k3_tarski(X1),X1)))),
% 55.77/12.72 inference(destructive_equality_resolution,[status(esa)],[f36547])).
% 55.77/12.72 fof(f188041,plain,(
% 55.77/12.72 ![X0,X1]: (~r2_hidden(X0,k3_tarski(X1))|r2_hidden(sk0_4(X0,k3_tarski(X1),X1),X1))),
% 55.77/12.72 inference(destructive_equality_resolution,[status(esa)],[f36548])).
% 55.77/12.72 fof(f197073,plain,(
% 55.77/12.72 ![X0]: (~r2_hidden(X0,sk0_12739)|~r2_hidden(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),X0))),
% 55.77/12.72 inference(resolution,[status(thm)],[f162789,f39511])).
% 55.77/12.72 fof(f197148,plain,(
% 55.77/12.72 spl0_2957 <=> v3_struct_0(sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197149,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~spl0_2957),
% 55.77/12.72 inference(component_clause,[status(thm)],[f197148])).
% 55.77/12.72 fof(f197151,plain,(
% 55.77/12.72 spl0_2958 <=> v3_group_1(sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197153,plain,(
% 55.77/12.72 ~v3_group_1(sk0_12737)|spl0_2958),
% 55.77/12.72 inference(component_clause,[status(thm)],[f197151])).
% 55.77/12.72 fof(f197154,plain,(
% 55.77/12.72 spl0_2959 <=> l1_group_1(sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197156,plain,(
% 55.77/12.72 ~l1_group_1(sk0_12737)|spl0_2959),
% 55.77/12.72 inference(component_clause,[status(thm)],[f197154])).
% 55.77/12.72 fof(f197157,plain,(
% 55.77/12.72 spl0_2960 <=> v3_struct_0(sk0_12738)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197160,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~v3_struct_0(sk0_12738)),
% 55.77/12.72 inference(resolution,[status(thm)],[f108442,f162787])).
% 55.77/12.72 fof(f197161,plain,(
% 55.77/12.72 spl0_2957|~spl0_2958|~spl0_2959|~spl0_2960),
% 55.77/12.72 inference(split_clause,[status(thm)],[f197160,f197148,f197151,f197154,f197157])).
% 55.77/12.72 fof(f197162,plain,(
% 55.77/12.72 $false|spl0_2959),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f197156,f162785])).
% 55.77/12.72 fof(f197163,plain,(
% 55.77/12.72 spl0_2959),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f197162])).
% 55.77/12.72 fof(f197164,plain,(
% 55.77/12.72 $false|spl0_2958),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f197153,f162783])).
% 55.77/12.72 fof(f197165,plain,(
% 55.77/12.72 spl0_2958),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f197164])).
% 55.77/12.72 fof(f197166,plain,(
% 55.77/12.72 $false|~spl0_2957),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f197149,f162782])).
% 55.77/12.72 fof(f197167,plain,(
% 55.77/12.72 ~spl0_2957),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f197166])).
% 55.77/12.72 fof(f197168,plain,(
% 55.77/12.72 spl0_2961 <=> v3_group_1(sk0_12738)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197171,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~l1_group_1(sk0_12737)|v3_group_1(sk0_12738)),
% 55.77/12.72 inference(resolution,[status(thm)],[f108443,f162787])).
% 55.77/12.72 fof(f197172,plain,(
% 55.77/12.72 spl0_2957|~spl0_2958|~spl0_2959|spl0_2961),
% 55.77/12.72 inference(split_clause,[status(thm)],[f197171,f197148,f197151,f197154,f197168])).
% 55.77/12.72 fof(f197173,plain,(
% 55.77/12.72 spl0_2962 <=> l1_group_1(sk0_12738)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f197176,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~l1_group_1(sk0_12737)|l1_group_1(sk0_12738)),
% 55.77/12.72 inference(resolution,[status(thm)],[f108444,f162787])).
% 55.77/12.72 fof(f197177,plain,(
% 55.77/12.72 spl0_2957|~spl0_2958|~spl0_2959|spl0_2962),
% 55.77/12.72 inference(split_clause,[status(thm)],[f197176,f197148,f197151,f197154,f197173])).
% 55.77/12.72 fof(f197555,plain,(
% 55.77/12.72 ![X0]: (~r2_hidden(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),k3_tarski(X0))|~r2_hidden(sk0_4(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),k3_tarski(X0),X0),sk0_12739))),
% 55.77/12.72 inference(resolution,[status(thm)],[f188040,f197073])).
% 55.77/12.72 fof(f198835,plain,(
% 55.77/12.72 spl0_2974 <=> v4_group_1(sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f198837,plain,(
% 55.77/12.72 ~v4_group_1(sk0_12737)|spl0_2974),
% 55.77/12.72 inference(component_clause,[status(thm)],[f198835])).
% 55.77/12.72 fof(f198838,plain,(
% 55.77/12.72 spl0_2975 <=> v4_group_1(sk0_12738)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f198841,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|v4_group_1(sk0_12738)),
% 55.77/12.72 inference(resolution,[status(thm)],[f107894,f162787])).
% 55.77/12.72 fof(f198842,plain,(
% 55.77/12.72 spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959|spl0_2975),
% 55.77/12.72 inference(split_clause,[status(thm)],[f198841,f197148,f197151,f198835,f197154,f198838])).
% 55.77/12.72 fof(f198843,plain,(
% 55.77/12.72 $false|spl0_2974),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f198837,f162784])).
% 55.77/12.72 fof(f198844,plain,(
% 55.77/12.72 spl0_2974),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f198843])).
% 55.77/12.72 fof(f199215,plain,(
% 55.77/12.72 ![X0,X1,X2]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f108081,f108442])).
% 55.77/12.72 fof(f199216,plain,(
% 55.77/12.72 spl0_2977 <=> ~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_12738)|m1_group_2(X0,sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f199217,plain,(
% 55.77/12.72 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_12738)|m1_group_2(X0,sk0_12737)|~spl0_2977)),
% 55.77/12.72 inference(component_clause,[status(thm)],[f199216])).
% 55.77/12.72 fof(f199219,plain,(
% 55.77/12.72 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(sk0_12738)|~v3_group_1(sk0_12738)|~v4_group_1(sk0_12738)|~l1_group_1(sk0_12738)|v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~m1_group_2(X0,sk0_12738)|m1_group_2(X0,sk0_12737))),
% 55.77/12.72 inference(resolution,[status(thm)],[f199215,f162787])).
% 55.77/12.72 fof(f199220,plain,(
% 55.77/12.72 spl0_2977|spl0_2960|~spl0_2961|~spl0_2975|~spl0_2962|spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959),
% 55.77/12.72 inference(split_clause,[status(thm)],[f199219,f199216,f197157,f197168,f198838,f197173,f197148,f197151,f198835,f197154])).
% 55.77/12.72 fof(f199318,plain,(
% 55.77/12.72 spl0_2978 <=> m1_group_2(sk0_12738,sk0_12737)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f199321,plain,(
% 55.77/12.72 ~v3_group_1(sk0_12738)|~v4_group_1(sk0_12738)|~l1_group_1(sk0_12738)|m1_group_2(sk0_12738,sk0_12737)|v3_struct_0(sk0_12738)|~v3_group_1(sk0_12738)|~v4_group_1(sk0_12738)|~l1_group_1(sk0_12738)|~spl0_2977),
% 55.77/12.72 inference(resolution,[status(thm)],[f199217,f108077])).
% 55.77/12.72 fof(f199322,plain,(
% 55.77/12.72 ~spl0_2961|~spl0_2975|~spl0_2962|spl0_2978|spl0_2960|~spl0_2977),
% 55.77/12.72 inference(split_clause,[status(thm)],[f199321,f197168,f198838,f197173,f199318,f197157,f199216])).
% 55.77/12.72 fof(f201200,plain,(
% 55.77/12.72 spl0_3005 <=> v1_group_1(sk0_12738)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201202,plain,(
% 55.77/12.72 ~v1_group_1(sk0_12738)|spl0_3005),
% 55.77/12.72 inference(component_clause,[status(thm)],[f201200])).
% 55.77/12.72 fof(f201203,plain,(
% 55.77/12.72 spl0_3006 <=> m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201205,plain,(
% 55.77/12.72 ~m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))|spl0_3006),
% 55.77/12.72 inference(component_clause,[status(thm)],[f201203])).
% 55.77/12.72 fof(f201206,plain,(
% 55.77/12.72 spl0_3007 <=> r1_rlvect_1(sk0_12738,sk0_12739)),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201209,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~v1_group_1(sk0_12738)|~m1_group_2(sk0_12738,sk0_12737)|~m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))|r1_rlvect_1(sk0_12738,sk0_12739)),
% 55.77/12.72 inference(resolution,[status(thm)],[f162772,f162789])).
% 55.77/12.72 fof(f201210,plain,(
% 55.77/12.72 spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959|~spl0_3005|~spl0_2978|~spl0_3006|spl0_3007),
% 55.77/12.72 inference(split_clause,[status(thm)],[f201209,f197148,f197151,f198835,f197154,f201200,f199318,f201203,f201206])).
% 55.77/12.72 fof(f201215,plain,(
% 55.77/12.72 $false|spl0_3006),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f201205,f162788])).
% 55.77/12.72 fof(f201216,plain,(
% 55.77/12.72 spl0_3006),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f201215])).
% 55.77/12.72 fof(f201217,plain,(
% 55.77/12.72 $false|spl0_3005),
% 55.77/12.72 inference(forward_subsumption_resolution,[status(thm)],[f201202,f162786])).
% 55.77/12.72 fof(f201218,plain,(
% 55.77/12.72 spl0_3005),
% 55.77/12.72 inference(contradiction_clause,[status(thm)],[f201217])).
% 55.77/12.72 fof(f201455,plain,(
% 55.77/12.72 spl0_3014 <=> r2_hidden(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),k3_tarski(sk0_12739))),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201458,plain,(
% 55.77/12.72 ~r2_hidden(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),k3_tarski(sk0_12739))|~r2_hidden(k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738),k3_tarski(sk0_12739))),
% 55.77/12.72 inference(resolution,[status(thm)],[f197555,f188041])).
% 55.77/12.72 fof(f201459,plain,(
% 55.77/12.72 ~spl0_3014),
% 55.77/12.72 inference(split_clause,[status(thm)],[f201458,f201455])).
% 55.77/12.72 fof(f201672,plain,(
% 55.77/12.72 spl0_3016 <=> m1_subset_1(k3_group_1(sk0_12737,sk0_12739),u1_struct_0(sk0_12737))),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201674,plain,(
% 55.77/12.72 ~m1_subset_1(k3_group_1(sk0_12737,sk0_12739),u1_struct_0(sk0_12737))|spl0_3016),
% 55.77/12.72 inference(component_clause,[status(thm)],[f201672])).
% 55.77/12.72 fof(f201675,plain,(
% 55.77/12.72 spl0_3017 <=> r1_rlvect_1(sk0_12738,k3_group_1(sk0_12737,sk0_12739))),
% 55.77/12.72 introduced(split_symbol_definition)).
% 55.77/12.72 fof(f201677,plain,(
% 55.77/12.72 ~r1_rlvect_1(sk0_12738,k3_group_1(sk0_12737,sk0_12739))|spl0_3017),
% 55.77/12.72 inference(component_clause,[status(thm)],[f201675])).
% 55.77/12.72 fof(f201678,plain,(
% 55.77/12.72 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~v1_group_1(sk0_12738)|~m1_group_2(sk0_12738,sk0_12737)|~m1_subset_1(k3_group_1(sk0_12737,sk0_12739),u1_struct_0(sk0_12737))|~r1_rlvect_1(sk0_12738,k3_group_1(sk0_12737,sk0_12739))),
% 55.77/12.72 inference(resolution,[status(thm)],[f162773,f162790])).
% 63.49/13.76 fof(f201679,plain,(
% 63.49/13.76 spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959|~spl0_3005|~spl0_2978|~spl0_3016|~spl0_3017),
% 63.49/13.76 inference(split_clause,[status(thm)],[f201678,f197148,f197151,f198835,f197154,f201200,f199318,f201672,f201675])).
% 63.49/13.76 fof(f201902,plain,(
% 63.49/13.76 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))|spl0_3016),
% 63.49/13.76 inference(resolution,[status(thm)],[f201674,f97883])).
% 63.49/13.76 fof(f201903,plain,(
% 63.49/13.76 spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959|~spl0_3006|spl0_3016),
% 63.49/13.76 inference(split_clause,[status(thm)],[f201902,f197148,f197151,f198835,f197154,f201203,f201672])).
% 63.49/13.76 fof(f201904,plain,(
% 63.49/13.76 v3_struct_0(sk0_12737)|~v3_group_1(sk0_12737)|~v4_group_1(sk0_12737)|~l1_group_1(sk0_12737)|~m1_subset_1(sk0_12739,u1_struct_0(sk0_12737))|~m1_group_2(sk0_12738,sk0_12737)|~r1_rlvect_1(sk0_12738,sk0_12739)|spl0_3017),
% 63.49/13.76 inference(resolution,[status(thm)],[f201677,f108065])).
% 63.49/13.76 fof(f201905,plain,(
% 63.49/13.76 spl0_2957|~spl0_2958|~spl0_2974|~spl0_2959|~spl0_3006|~spl0_2978|~spl0_3007|spl0_3017),
% 63.49/13.76 inference(split_clause,[status(thm)],[f201904,f197148,f197151,f198835,f197154,f201203,f199318,f201206,f201675])).
% 63.49/13.76 fof(f201906,plain,(
% 63.49/13.76 $false),
% 63.49/13.76 inference(sat_refutation,[status(thm)],[f197161,f197163,f197165,f197167,f197172,f197177,f198842,f198844,f199220,f199322,f201210,f201216,f201218,f201459,f201679,f201903,f201905])).
% 63.49/13.76 % SZS output end CNFRefutation for theBenchmark.p
% 63.49/13.76 % Elapsed time: 13.335728 seconds
% 63.49/13.76 % CPU time: 57.963206 seconds
% 63.49/13.76 % Memory used: 10.965 GB
%------------------------------------------------------------------------------