TSTP Solution File: GRP641+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP641+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 20:21:12 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:39:49 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,conjecture,(
% 0.12/0.40 (! [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) )=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) )) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,negated_conjecture,(
% 0.12/0.40 ~((! [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) )=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) )) ))),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_funct_1(B)& v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))& m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) )=> ( B = k1_latsubgr(A)<=> (! [C] :( ( v1_group_1(C)& m1_group_2(C,A) )=> k1_funct_1(B,C) = u1_struct_0(C) ) )) ) )) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,axiom,(
% 0.12/0.40 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> ( v1_funct_1(k1_latsubgr(A))& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))& m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,axiom,(
% 0.12/0.40 (! [A] :( ( ~ v3_struct_0(A)& l1_group_1(A) )=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,axiom,(
% 0.12/0.40 (! [A] :( l1_group_1(A)=> l1_struct_0(A) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,axiom,(
% 0.12/0.40 (! [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) ) ) )) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,axiom,(
% 0.12/0.40 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,axiom,(
% 0.12/0.40 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,axiom,(
% 0.12/0.40 v1_xboole_0(k1_xboole_0) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f47,axiom,(
% 0.12/0.40 (! [A,B] : r1_tarski(A,A) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f49,axiom,(
% 0.12/0.40 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f50,axiom,(
% 0.12/0.40 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f52,axiom,(
% 0.12/0.40 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> k2_group_1(B) = k2_group_1(A) ) )) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f54,axiom,(
% 0.12/0.40 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f55,axiom,(
% 0.12/0.40 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 (?[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))&~r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B))))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.40 fof(f58,plain,(
% 0.12/0.40 ((((~v3_struct_0(sk0_0)&v3_group_1(sk0_0))&v4_group_1(sk0_0))&l1_group_1(sk0_0))&((v1_group_1(sk0_1)&m1_group_2(sk0_1,sk0_0))&~r2_hidden(k2_group_1(sk0_0),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))))),
% 0.12/0.40 inference(skolemization,[status(esa)],[f57])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 ~v3_struct_0(sk0_0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f58])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 v3_group_1(sk0_0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f58])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 v4_group_1(sk0_0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f58])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 l1_group_1(sk0_0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.41 fof(f63,plain,(
% 0.20/0.41 v1_group_1(sk0_1)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.41 fof(f64,plain,(
% 0.20/0.41 m1_group_2(sk0_1,sk0_0)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.41 fof(f65,plain,(
% 0.20/0.41 ~r2_hidden(k2_group_1(sk0_0),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.41 fof(f86,plain,(
% 0.20/0.41 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (((~v1_funct_1(B)|~v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|~m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|(B=k1_latsubgr(A)<=>(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|k1_funct_1(B,C)=u1_struct_0(C)))))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.41 fof(f87,plain,(
% 0.20/0.41 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (((~v1_funct_1(B)|~v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|~m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|((~B=k1_latsubgr(A)|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|k1_funct_1(B,C)=u1_struct_0(C))))&(B=k1_latsubgr(A)|(?[C]: ((v1_group_1(C)&m1_group_2(C,A))&~k1_funct_1(B,C)=u1_struct_0(C))))))))),
% 0.20/0.41 inference(NNF_transformation,[status(esa)],[f86])).
% 0.20/0.41 fof(f88,plain,(
% 0.20/0.41 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (((~v1_funct_1(B)|~v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|~m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))|((~B=k1_latsubgr(A)|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|k1_funct_1(B,C)=u1_struct_0(C))))&(B=k1_latsubgr(A)|((v1_group_1(sk0_2(B,A))&m1_group_2(sk0_2(B,A),A))&~k1_funct_1(B,sk0_2(B,A))=u1_struct_0(sk0_2(B,A))))))))),
% 0.20/0.41 inference(skolemization,[status(esa)],[f87])).
% 0.20/0.41 fof(f89,plain,(
% 0.20/0.41 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~X1=k1_latsubgr(X0)|~v1_group_1(X2)|~m1_group_2(X2,X0)|k1_funct_1(X1,X2)=u1_struct_0(X2))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f88])).
% 0.20/0.41 fof(f96,plain,(
% 0.20/0.41 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|((v1_funct_1(k1_latsubgr(A))&v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))&m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.41 fof(f97,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v1_funct_1(k1_latsubgr(X0)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f96])).
% 0.20/0.41 fof(f98,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f96])).
% 0.20/0.41 fof(f99,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f96])).
% 0.20/0.41 fof(f100,plain,(
% 0.20/0.41 ![A]: ((v3_struct_0(A)|~l1_group_1(A))|m1_subset_1(k2_group_1(A),u1_struct_0(A)))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.41 fof(f101,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~l1_group_1(X0)|m1_subset_1(k2_group_1(X0),u1_struct_0(X0)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.41 fof(f102,plain,(
% 0.20/0.41 ![A]: (~l1_group_1(A)|l1_struct_0(A))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.41 fof(f103,plain,(
% 0.20/0.41 ![X0]: (~l1_group_1(X0)|l1_struct_0(X0))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.41 fof(f104,plain,(
% 0.20/0.41 ![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)))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.20/0.41 fof(f105,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f104])).
% 0.20/0.41 fof(f107,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f104])).
% 0.20/0.41 fof(f129,plain,(
% 0.20/0.41 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.20/0.41 fof(f130,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f129])).
% 0.20/0.41 fof(f131,plain,(
% 0.20/0.41 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.41 fof(f132,plain,(
% 0.20/0.41 v1_xboole_0(k1_xboole_0)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f35])).
% 0.20/0.41 fof(f169,plain,(
% 0.20/0.41 ![A]: r1_tarski(A,A)),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f47])).
% 0.20/0.41 fof(f170,plain,(
% 0.20/0.41 ![X0]: (r1_tarski(X0,X0))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f169])).
% 0.20/0.41 fof(f173,plain,(
% 0.20/0.41 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.20/0.41 fof(f174,plain,(
% 0.20/0.41 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f173])).
% 0.20/0.41 fof(f175,plain,(
% 0.20/0.41 ![A,B]: ((~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B))&(m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 0.20/0.41 inference(NNF_transformation,[status(esa)],[f50])).
% 0.20/0.41 fof(f176,plain,(
% 0.20/0.41 (![A,B]: (~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B)))&(![A,B]: (m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f175])).
% 0.20/0.41 fof(f178,plain,(
% 0.20/0.41 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f176])).
% 0.20/0.41 fof(f182,plain,(
% 0.20/0.41 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|k2_group_1(B)=k2_group_1(A))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.20/0.41 fof(f183,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|k2_group_1(X1)=k2_group_1(X0))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f182])).
% 0.20/0.41 fof(f187,plain,(
% 0.20/0.41 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.20/0.41 fof(f188,plain,(
% 0.20/0.41 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f187])).
% 0.20/0.41 fof(f189,plain,(
% 0.20/0.41 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.20/0.41 fof(f190,plain,(
% 0.20/0.41 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f189])).
% 0.20/0.41 fof(f191,plain,(
% 0.20/0.41 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.41 fof(f195,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_funct_1(k1_latsubgr(X0))|~v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~v1_group_1(X1)|~m1_group_2(X1,X0)|k1_funct_1(k1_latsubgr(X0),X1)=u1_struct_0(X1))),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f89])).
% 0.20/0.41 fof(f197,plain,(
% 0.20/0.41 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.20/0.41 inference(resolution,[status(thm)],[f132,f191])).
% 0.20/0.41 fof(f200,plain,(
% 0.20/0.41 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|r2_hidden(X0,k1_zfmisc_1(X1)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f131,f174])).
% 0.20/0.41 fof(f202,plain,(
% 0.20/0.41 spl0_0 <=> l1_group_1(sk0_1)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f204,plain,(
% 0.20/0.41 ~l1_group_1(sk0_1)|spl0_0),
% 0.20/0.41 inference(component_clause,[status(thm)],[f202])).
% 0.20/0.41 fof(f224,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_1,X0)|spl0_0)),
% 0.20/0.41 inference(resolution,[status(thm)],[f107,f204])).
% 0.20/0.41 fof(f225,plain,(
% 0.20/0.41 spl0_2 <=> v3_struct_0(sk0_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f226,plain,(
% 0.20/0.41 v3_struct_0(sk0_0)|~spl0_2),
% 0.20/0.41 inference(component_clause,[status(thm)],[f225])).
% 0.20/0.41 fof(f228,plain,(
% 0.20/0.41 spl0_3 <=> v3_group_1(sk0_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f230,plain,(
% 0.20/0.41 ~v3_group_1(sk0_0)|spl0_3),
% 0.20/0.41 inference(component_clause,[status(thm)],[f228])).
% 0.20/0.41 fof(f231,plain,(
% 0.20/0.41 spl0_4 <=> l1_group_1(sk0_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f233,plain,(
% 0.20/0.41 ~l1_group_1(sk0_0)|spl0_4),
% 0.20/0.41 inference(component_clause,[status(thm)],[f231])).
% 0.20/0.41 fof(f234,plain,(
% 0.20/0.41 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~l1_group_1(sk0_0)|spl0_0),
% 0.20/0.41 inference(resolution,[status(thm)],[f224,f64])).
% 0.20/0.41 fof(f235,plain,(
% 0.20/0.41 spl0_2|~spl0_3|~spl0_4|spl0_0),
% 0.20/0.41 inference(split_clause,[status(thm)],[f234,f225,f228,f231,f202])).
% 0.20/0.41 fof(f236,plain,(
% 0.20/0.41 $false|spl0_4),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f233,f62])).
% 0.20/0.41 fof(f237,plain,(
% 0.20/0.41 spl0_4),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f236])).
% 0.20/0.41 fof(f238,plain,(
% 0.20/0.41 $false|spl0_3),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f230,f60])).
% 0.20/0.41 fof(f239,plain,(
% 0.20/0.41 spl0_3),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f238])).
% 0.20/0.41 fof(f240,plain,(
% 0.20/0.41 $false|~spl0_2),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f226,f59])).
% 0.20/0.41 fof(f241,plain,(
% 0.20/0.41 ~spl0_2),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f240])).
% 0.20/0.41 fof(f253,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~v1_group_1(X1)|~m1_group_2(X1,X0)|k1_funct_1(k1_latsubgr(X0),X1)=u1_struct_0(X1))),
% 0.20/0.41 inference(backward_subsumption_resolution,[status(thm)],[f195,f97])).
% 0.20/0.41 fof(f269,plain,(
% 0.20/0.41 spl0_8 <=> v4_group_1(sk0_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f271,plain,(
% 0.20/0.41 ~v4_group_1(sk0_0)|spl0_8),
% 0.20/0.41 inference(component_clause,[status(thm)],[f269])).
% 0.20/0.41 fof(f285,plain,(
% 0.20/0.41 spl0_12 <=> ~m1_group_2(X0,sk0_0)|k2_group_1(X0)=k2_group_1(sk0_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f286,plain,(
% 0.20/0.41 ![X0]: (~m1_group_2(X0,sk0_0)|k2_group_1(X0)=k2_group_1(sk0_0)|~spl0_12)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f285])).
% 0.20/0.41 fof(f288,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(X0,sk0_0)|k2_group_1(X0)=k2_group_1(sk0_0))),
% 0.20/0.41 inference(resolution,[status(thm)],[f183,f61])).
% 0.20/0.41 fof(f289,plain,(
% 0.20/0.41 spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.41 inference(split_clause,[status(thm)],[f288,f225,f228,f231,f285])).
% 0.20/0.41 fof(f290,plain,(
% 0.20/0.41 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))|~v1_group_1(X1)|~m1_group_2(X1,X0)|k1_funct_1(k1_latsubgr(X0),X1)=u1_struct_0(X1))),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f253,f98])).
% 0.20/0.41 fof(f291,plain,(
% 0.20/0.41 ![X0,X1]: (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)|k1_funct_1(k1_latsubgr(X0),X1)=u1_struct_0(X1)|v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0))),
% 0.20/0.41 inference(resolution,[status(thm)],[f290,f99])).
% 0.20/0.41 fof(f292,plain,(
% 0.20/0.41 ![X0,X1]: (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)|k1_funct_1(k1_latsubgr(X0),X1)=u1_struct_0(X1))),
% 0.20/0.41 inference(duplicate_literals_removal,[status(esa)],[f291])).
% 0.20/0.41 fof(f298,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_1,X0)|k1_funct_1(k1_latsubgr(X0),sk0_1)=u1_struct_0(sk0_1))),
% 0.20/0.41 inference(resolution,[status(thm)],[f292,f63])).
% 0.20/0.41 fof(f299,plain,(
% 0.20/0.41 spl0_14 <=> k1_funct_1(k1_latsubgr(sk0_0),sk0_1)=u1_struct_0(sk0_1)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f300,plain,(
% 0.20/0.41 k1_funct_1(k1_latsubgr(sk0_0),sk0_1)=u1_struct_0(sk0_1)|~spl0_14),
% 0.20/0.41 inference(component_clause,[status(thm)],[f299])).
% 0.20/0.41 fof(f302,plain,(
% 0.20/0.41 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|k1_funct_1(k1_latsubgr(sk0_0),sk0_1)=u1_struct_0(sk0_1)),
% 0.20/0.41 inference(resolution,[status(thm)],[f298,f64])).
% 0.20/0.41 fof(f303,plain,(
% 0.20/0.41 spl0_2|~spl0_3|~spl0_8|~spl0_4|spl0_14),
% 0.20/0.41 inference(split_clause,[status(thm)],[f302,f225,f228,f269,f231,f299])).
% 0.20/0.41 fof(f304,plain,(
% 0.20/0.41 $false|spl0_8),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f271,f61])).
% 0.20/0.41 fof(f305,plain,(
% 0.20/0.41 spl0_8),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f304])).
% 0.20/0.41 fof(f314,plain,(
% 0.20/0.41 ![X0,X1]: (X0=k1_xboole_0|~m1_subset_1(X1,X0)|r2_hidden(X1,X0))),
% 0.20/0.41 inference(resolution,[status(thm)],[f188,f174])).
% 0.20/0.41 fof(f363,plain,(
% 0.20/0.41 k2_group_1(sk0_1)=k2_group_1(sk0_0)|~spl0_12),
% 0.20/0.41 inference(resolution,[status(thm)],[f286,f64])).
% 0.20/0.41 fof(f364,plain,(
% 0.20/0.41 spl0_19 <=> v3_struct_0(sk0_1)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f365,plain,(
% 0.20/0.41 v3_struct_0(sk0_1)|~spl0_19),
% 0.20/0.41 inference(component_clause,[status(thm)],[f364])).
% 0.20/0.41 fof(f367,plain,(
% 0.20/0.41 spl0_20 <=> m1_subset_1(k2_group_1(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f368,plain,(
% 0.20/0.41 m1_subset_1(k2_group_1(sk0_0),u1_struct_0(sk0_1))|~spl0_20),
% 0.20/0.41 inference(component_clause,[status(thm)],[f367])).
% 0.20/0.41 fof(f370,plain,(
% 0.20/0.41 v3_struct_0(sk0_1)|~l1_group_1(sk0_1)|m1_subset_1(k2_group_1(sk0_0),u1_struct_0(sk0_1))|~spl0_12),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f363,f101])).
% 0.20/0.41 fof(f371,plain,(
% 0.20/0.41 spl0_19|~spl0_0|spl0_20|~spl0_12),
% 0.20/0.41 inference(split_clause,[status(thm)],[f370,f364,f202,f367,f285])).
% 0.20/0.41 fof(f372,plain,(
% 0.20/0.41 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_1,X0)|~spl0_19)),
% 0.20/0.41 inference(resolution,[status(thm)],[f365,f105])).
% 0.20/0.41 fof(f373,plain,(
% 0.20/0.41 ~r2_hidden(k2_group_1(sk0_0),u1_struct_0(sk0_1))|~spl0_14),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f300,f65])).
% 0.20/0.41 fof(f400,plain,(
% 0.20/0.41 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~l1_group_1(sk0_0)|~spl0_19),
% 0.20/0.41 inference(resolution,[status(thm)],[f372,f64])).
% 0.20/0.41 fof(f401,plain,(
% 0.20/0.41 spl0_2|~spl0_3|~spl0_4|~spl0_19),
% 0.20/0.41 inference(split_clause,[status(thm)],[f400,f225,f228,f231,f364])).
% 0.20/0.41 fof(f461,plain,(
% 0.20/0.41 spl0_33 <=> u1_struct_0(sk0_1)=k1_xboole_0),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f462,plain,(
% 0.20/0.41 u1_struct_0(sk0_1)=k1_xboole_0|~spl0_33),
% 0.20/0.41 inference(component_clause,[status(thm)],[f461])).
% 0.20/0.41 fof(f464,plain,(
% 0.20/0.41 spl0_34 <=> r2_hidden(k2_group_1(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f465,plain,(
% 0.20/0.41 r2_hidden(k2_group_1(sk0_0),u1_struct_0(sk0_1))|~spl0_34),
% 0.20/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.20/0.41 fof(f467,plain,(
% 0.20/0.41 u1_struct_0(sk0_1)=k1_xboole_0|r2_hidden(k2_group_1(sk0_0),u1_struct_0(sk0_1))|~spl0_20),
% 0.20/0.41 inference(resolution,[status(thm)],[f314,f368])).
% 0.20/0.41 fof(f468,plain,(
% 0.20/0.41 spl0_33|spl0_34|~spl0_20),
% 0.20/0.41 inference(split_clause,[status(thm)],[f467,f461,f464,f367])).
% 0.20/0.41 fof(f471,plain,(
% 0.20/0.41 spl0_35 <=> k1_zfmisc_1(k1_group_3(sk0_0))=k1_xboole_0),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f472,plain,(
% 0.20/0.41 k1_zfmisc_1(k1_group_3(sk0_0))=k1_xboole_0|~spl0_35),
% 0.20/0.41 inference(component_clause,[status(thm)],[f471])).
% 0.20/0.41 fof(f501,plain,(
% 0.20/0.41 spl0_39 <=> k1_zfmisc_1(k1_xboole_0)=k1_xboole_0),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f502,plain,(
% 0.20/0.41 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|~spl0_39),
% 0.20/0.41 inference(component_clause,[status(thm)],[f501])).
% 0.20/0.41 fof(f592,plain,(
% 0.20/0.41 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(X0)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f178,f170])).
% 0.20/0.41 fof(f600,plain,(
% 0.20/0.41 ![X0]: (r2_hidden(X0,k1_zfmisc_1(X0)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f592,f200])).
% 0.20/0.41 fof(f620,plain,(
% 0.20/0.41 spl0_55 <=> v1_xboole_0(k1_xboole_0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f622,plain,(
% 0.20/0.41 ~v1_xboole_0(k1_xboole_0)|spl0_55),
% 0.20/0.41 inference(component_clause,[status(thm)],[f620])).
% 0.20/0.41 fof(f686,plain,(
% 0.20/0.41 spl0_65 <=> l1_struct_0(sk0_1)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f688,plain,(
% 0.20/0.41 ~l1_struct_0(sk0_1)|spl0_65),
% 0.20/0.41 inference(component_clause,[status(thm)],[f686])).
% 0.20/0.41 fof(f689,plain,(
% 0.20/0.41 v3_struct_0(sk0_1)|~l1_struct_0(sk0_1)|~v1_xboole_0(k1_xboole_0)|~spl0_33),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f462,f130])).
% 0.20/0.41 fof(f690,plain,(
% 0.20/0.41 spl0_19|~spl0_65|~spl0_55|~spl0_33),
% 0.20/0.41 inference(split_clause,[status(thm)],[f689,f364,f686,f620,f461])).
% 0.20/0.41 fof(f744,plain,(
% 0.20/0.41 ~l1_group_1(sk0_1)|spl0_65),
% 0.20/0.41 inference(resolution,[status(thm)],[f688,f103])).
% 0.20/0.41 fof(f745,plain,(
% 0.20/0.41 ~spl0_0|spl0_65),
% 0.20/0.41 inference(split_clause,[status(thm)],[f744,f202,f686])).
% 0.20/0.41 fof(f746,plain,(
% 0.20/0.41 $false|spl0_55),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f622,f132])).
% 0.20/0.41 fof(f747,plain,(
% 0.20/0.41 spl0_55),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f746])).
% 0.20/0.41 fof(f763,plain,(
% 0.20/0.41 r2_hidden(k1_xboole_0,k1_xboole_0)|~spl0_39),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f502,f600])).
% 0.20/0.41 fof(f764,plain,(
% 0.20/0.41 $false|~spl0_39),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f763,f197])).
% 0.20/0.41 fof(f765,plain,(
% 0.20/0.41 ~spl0_39),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f764])).
% 0.20/0.41 fof(f787,plain,(
% 0.20/0.41 r2_hidden(k1_group_3(sk0_0),k1_xboole_0)|~spl0_35),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f472,f600])).
% 0.20/0.41 fof(f788,plain,(
% 0.20/0.41 $false|~spl0_35),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f787,f197])).
% 0.20/0.41 fof(f789,plain,(
% 0.20/0.41 ~spl0_35),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f788])).
% 0.20/0.41 fof(f812,plain,(
% 0.20/0.41 $false|~spl0_14|~spl0_34),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f465,f373])).
% 0.20/0.41 fof(f813,plain,(
% 0.20/0.41 ~spl0_14|~spl0_34),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f812])).
% 0.20/0.41 fof(f814,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(sat_refutation,[status(thm)],[f235,f237,f239,f241,f289,f303,f305,f371,f401,f468,f690,f745,f747,f765,f789,f813])).
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.069269 seconds
% 0.20/0.41 % CPU time: 0.428925 seconds
% 0.20/0.41 % Total memory used: 58.391 MB
% 0.20/0.41 % Net memory used: 58.156 MB
%------------------------------------------------------------------------------