%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP645+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:37:02 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP645+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:27:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,conjecture,(
% 0.14/0.40 (! [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) )=> (! [C] :( ( v1_group_1(C)& m1_group_2(C,A) )=> k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,negated_conjecture,(
% 0.14/0.40 ~((! [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) )=> (! [C] :( ( v1_group_1(C)& m1_group_2(C,A) )=> k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) )) )) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.40 fof(f10,axiom,(
% 0.14/0.40 (! [A,B,C] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_group_2(B,A)& m1_group_2(C,A) )=> k9_group_2(A,B,C) = k9_group_2(A,C,B) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,axiom,(
% 0.14/0.40 (! [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) ) )) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 (! [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))) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,axiom,(
% 0.14/0.40 (! [A,B,C] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_group_2(B,A)& m1_group_2(C,A) )=> ( v1_group_1(k9_group_2(A,B,C))& m1_group_2(k9_group_2(A,B,C),A) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f38,axiom,(
% 0.14/0.40 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f55,axiom,(
% 0.14/0.40 (! [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) )=> (! [C] :( ( v1_group_1(C)& m1_group_2(C,A) )=> u1_struct_0(k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 (?[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))&(?[C]: ((v1_group_1(C)&m1_group_2(C,A))&~k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 ((((~v3_struct_0(sK0_skl)&v3_group_1(sK0_skl))&v4_group_1(sK0_skl))&l1_group_1(sK0_skl))&((v1_group_1(sK1_skl)&m1_group_2(sK1_skl,sK0_skl))&((v1_group_1(sK2_skl)&m1_group_2(sK2_skl,sK0_skl))&~k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK1_skl,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl)))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f64])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 ~v3_struct_0(sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 v3_group_1(sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 v4_group_1(sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 l1_group_1(sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 v1_group_1(sK1_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 m1_group_2(sK1_skl,sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 v1_group_1(sK2_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 m1_group_2(sK2_skl,sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 ~k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK1_skl,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 ![A,B,C]: ((((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_group_2(B,A))|~m1_group_2(C,A))|k9_group_2(A,B,C)=k9_group_2(A,C,B))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f97,plain,(
% 0.14/0.40 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_group_2(X2,X0)|k9_group_2(X0,X1,X2)=k9_group_2(X0,X2,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 ![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)))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f99,plain,(
% 0.14/0.40 ![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))))&(B=k1_latsubgr(A)|(?[C]: ((v1_group_1(C)&m1_group_2(C,A))&~k1_funct_1(B,C)=u1_struct_0(C))))))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f98])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 ![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))))&(B=k1_latsubgr(A)|((v1_group_1(sK3_skl(B,A))&m1_group_2(sK3_skl(B,A),A))&~k1_funct_1(B,sK3_skl(B,A))=u1_struct_0(sK3_skl(B,A))))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B,A))],[f99])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 ![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))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 ![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)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v1_funct_1(k1_latsubgr(X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 ![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))))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 ![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))))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 ![A,B,C]: ((((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_group_2(B,A))|~m1_group_2(C,A))|(v1_group_1(k9_group_2(A,B,C))&m1_group_2(k9_group_2(A,B,C),A)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_group_2(X2,X0)|v1_group_1(k9_group_2(X0,X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_group_2(X2,X0)|m1_group_2(k9_group_2(X0,X1,X2),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/0.40 fof(f147,plain,(
% 0.14/0.40 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f193,plain,(
% 0.14/0.40 ![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))|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|u1_struct_0(k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.14/0.40 fof(f194,plain,(
% 0.14/0.40 ![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)|~v1_group_1(X2)|~m1_group_2(X2,X0)|u1_struct_0(k9_group_2(X0,X1,X2))=k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ![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))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f101])).
% 0.14/0.40 fof(f223,definition,(
% 0.14/0.40 sQ0_spl <=> (v3_struct_0(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f224,plain,(
% 0.14/0.40 v3_struct_0(sK0_skl)|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f223])).
% 0.14/0.40 fof(f226,definition,(
% 0.14/0.40 sQ1_spl <=> (v3_group_1(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f228,plain,(
% 0.14/0.40 ~v3_group_1(sK0_skl)|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f226])).
% 0.14/0.40 fof(f229,definition,(
% 0.14/0.40 sQ2_spl <=> (l1_group_1(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f231,plain,(
% 0.14/0.40 ~l1_group_1(sK0_skl)|sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f229])).
% 0.14/0.40 fof(f240,plain,(
% 0.14/0.40 $false|sQ2_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f231,f69])).
% 0.14/0.40 fof(f241,plain,(
% 0.14/0.40 sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f240])).
% 0.14/0.40 fof(f242,plain,(
% 0.14/0.40 $false|sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f228,f67])).
% 0.14/0.40 fof(f243,plain,(
% 0.14/0.40 sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f242])).
% 0.14/0.40 fof(f244,plain,(
% 0.14/0.40 $false|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f224,f66])).
% 0.14/0.40 fof(f245,plain,(
% 0.14/0.40 ~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f244])).
% 0.14/0.40 fof(f258,plain,(
% 0.14/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|k9_group_2(sK0_skl,X0,sK2_skl)=k9_group_2(sK0_skl,sK2_skl,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f97,f73])).
% 0.14/0.40 fof(f260,definition,(
% 0.14/0.40 sQ7_spl <=> (v4_group_1(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f262,plain,(
% 0.14/0.40 ~v4_group_1(sK0_skl)|sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f260])).
% 0.14/0.40 fof(f263,definition,(
% 0.14/0.40 ![X0]: (sQ8_spl <=> (~m1_group_2(X0,sK0_skl)|k9_group_2(sK0_skl,X0,sK2_skl)=k9_group_2(sK0_skl,sK2_skl,X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f264,plain,(
% 0.14/0.40 ![X0]: (~m1_group_2(X0,sK0_skl)|k9_group_2(sK0_skl,X0,sK2_skl)=k9_group_2(sK0_skl,sK2_skl,X0)|~sQ8_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f263])).
% 0.14/0.40 fof(f266,plain,(
% 0.14/0.40 sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f258,f223,f226,f260,f229,f263])).
% 0.14/0.40 fof(f271,plain,(
% 0.14/0.40 $false|sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f262,f68])).
% 0.14/0.40 fof(f272,plain,(
% 0.14/0.40 sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f271])).
% 0.14/0.40 fof(f292,plain,(
% 0.14/0.40 k9_group_2(sK0_skl,sK1_skl,sK2_skl)=k9_group_2(sK0_skl,sK2_skl,sK1_skl)|~sQ8_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f264,f71])).
% 0.14/0.40 fof(f293,plain,(
% 0.14/0.40 ~k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK2_skl,sK1_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f292,f74])).
% 0.14/0.40 fof(f311,definition,(
% 0.14/0.40 sQ16_spl <=> (v1_group_1(sK2_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f313,plain,(
% 0.14/0.40 ~v1_group_1(sK2_skl)|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f311])).
% 0.14/0.40 fof(f318,plain,(
% 0.14/0.40 $false|sQ16_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f313,f72])).
% 0.14/0.40 fof(f319,plain,(
% 0.14/0.40 sQ16_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f318])).
% 0.14/0.40 fof(f322,definition,(
% 0.14/0.40 sQ18_spl <=> (v1_group_1(sK1_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f324,plain,(
% 0.14/0.40 ~v1_group_1(sK1_skl)|sQ18_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f322])).
% 0.14/0.40 fof(f329,plain,(
% 0.14/0.40 $false|sQ18_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f324,f70])).
% 0.14/0.40 fof(f330,plain,(
% 0.14/0.40 sQ18_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f329])).
% 0.14/0.40 fof(f352,plain,(
% 0.14/0.40 ![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))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f216,f109])).
% 0.14/0.40 fof(f353,plain,(
% 0.14/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|v1_group_1(k9_group_2(sK0_skl,sK2_skl,X0)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f116,f73])).
% 0.14/0.40 fof(f355,definition,(
% 0.14/0.40 ![X0]: (sQ25_spl <=> (~m1_group_2(X0,sK0_skl)|v1_group_1(k9_group_2(sK0_skl,sK2_skl,X0))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f356,plain,(
% 0.14/0.40 ![X0]: (~m1_group_2(X0,sK0_skl)|v1_group_1(k9_group_2(sK0_skl,sK2_skl,X0))|~sQ25_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f355])).
% 0.14/0.40 fof(f358,plain,(
% 0.14/0.40 sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|sQ25_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f353,f223,f226,f260,f229,f355])).
% 0.14/0.40 fof(f389,plain,(
% 0.14/0.40 v1_group_1(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|~sQ25_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f356,f71])).
% 0.14/0.40 fof(f394,plain,(
% 0.14/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|m1_group_2(k9_group_2(sK0_skl,sK2_skl,X0),sK0_skl))),
% 0.14/0.40 inference(resolution,[status(thm)],[f117,f73])).
% 0.14/0.40 fof(f396,definition,(
% 0.14/0.40 ![X0]: (sQ27_spl <=> (~m1_group_2(X0,sK0_skl)|m1_group_2(k9_group_2(sK0_skl,sK2_skl,X0),sK0_skl)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f397,plain,(
% 0.14/0.40 ![X0]: (~m1_group_2(X0,sK0_skl)|m1_group_2(k9_group_2(sK0_skl,sK2_skl,X0),sK0_skl)|~sQ27_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f396])).
% 0.14/0.40 fof(f399,plain,(
% 0.14/0.40 sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|sQ27_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f394,f223,f226,f260,f229,f396])).
% 0.14/0.40 fof(f405,plain,(
% 0.14/0.40 m1_group_2(k9_group_2(sK0_skl,sK2_skl,sK1_skl),sK0_skl)|~sQ27_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f397,f71])).
% 0.14/0.40 fof(f497,definition,(
% 0.14/0.40 sQ45_spl <=> (v1_group_1(k9_group_2(sK0_skl,sK2_skl,sK1_skl)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f499,plain,(
% 0.14/0.40 ~v1_group_1(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|sQ45_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f497])).
% 0.14/0.40 fof(f504,plain,(
% 0.14/0.40 $false|~sQ25_spl|sQ45_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f499,f389])).
% 0.14/0.40 fof(f505,plain,(
% 0.14/0.40 ~sQ25_spl|sQ45_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f504])).
% 0.14/0.40 fof(f508,plain,(
% 0.14/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~v1_group_1(X0)|~m1_group_2(X0,sK0_skl)|~v1_group_1(sK2_skl)|u1_struct_0(k9_group_2(sK0_skl,X0,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),X0),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f194,f73])).
% 0.14/0.40 fof(f518,definition,(
% 0.14/0.40 ![X0]: (sQ49_spl <=> (~v1_group_1(X0)|~m1_group_2(X0,sK0_skl)|u1_struct_0(k9_group_2(sK0_skl,X0,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),X0),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f519,plain,(
% 0.14/0.40 ![X0]: (~v1_group_1(X0)|~m1_group_2(X0,sK0_skl)|u1_struct_0(k9_group_2(sK0_skl,X0,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),X0),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))|~sQ49_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f518])).
% 0.14/0.40 fof(f521,plain,(
% 0.14/0.40 sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|sQ49_spl|~sQ16_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f508,f223,f226,f260,f229,f518,f311])).
% 0.14/0.40 fof(f615,plain,(
% 0.14/0.40 ~v1_group_1(sK1_skl)|u1_struct_0(k9_group_2(sK0_skl,sK1_skl,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))|~sQ49_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f519,f71])).
% 0.14/0.41 fof(f632,definition,(
% 0.14/0.41 sQ65_spl <=> (u1_struct_0(k9_group_2(sK0_skl,sK1_skl,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f633,plain,(
% 0.14/0.41 u1_struct_0(k9_group_2(sK0_skl,sK1_skl,sK2_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))|~sQ65_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f632])).
% 0.14/0.41 fof(f635,plain,(
% 0.14/0.41 ~sQ18_spl|sQ65_spl|~sQ49_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f615,f322,f632,f518])).
% 0.14/0.41 fof(f639,plain,(
% 0.14/0.41 u1_struct_0(k9_group_2(sK0_skl,sK2_skl,sK1_skl))=k3_xboole_0(k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK2_skl))|~sQ8_spl|~sQ65_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f292,f633])).
% 0.14/0.41 fof(f798,plain,(
% 0.14/0.41 ~k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK2_skl,sK1_skl))=u1_struct_0(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|~sQ65_spl|~sQ8_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f639,f293])).
% 0.14/0.41 fof(f924,plain,(
% 0.14/0.41 ![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))),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f352,f110])).
% 0.14/0.41 fof(f1072,definition,(
% 0.14/0.41 sQ135_spl <=> (v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f1073,plain,(
% 0.14/0.41 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl)))|~sQ135_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1072])).
% 0.14/0.41 fof(f1084,plain,(
% 0.14/0.41 $false|~sQ135_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1073,f147])).
% 0.14/0.41 fof(f1085,plain,(
% 0.14/0.41 ~sQ135_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1084])).
% 0.14/0.41 fof(f1086,plain,(
% 0.14/0.41 ![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))),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f924,f111])).
% 0.14/0.41 fof(f1090,plain,(
% 0.14/0.41 v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~v1_group_1(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK2_skl,sK1_skl))=u1_struct_0(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|~sQ27_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f1086,f405])).
% 0.14/0.41 fof(f1106,definition,(
% 0.14/0.41 sQ141_spl <=> (k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK2_skl,sK1_skl))=u1_struct_0(k9_group_2(sK0_skl,sK2_skl,sK1_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f1107,plain,(
% 0.14/0.41 k1_funct_1(k1_latsubgr(sK0_skl),k9_group_2(sK0_skl,sK2_skl,sK1_skl))=u1_struct_0(k9_group_2(sK0_skl,sK2_skl,sK1_skl))|~sQ141_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1106])).
% 0.14/0.41 fof(f1109,plain,(
% 0.14/0.41 sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ45_spl|sQ141_spl|~sQ27_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1090,f223,f226,f260,f229,f497,f1106,f396])).
% 0.14/0.41 fof(f1122,plain,(
% 0.14/0.41 $false|~sQ65_spl|~sQ8_spl|~sQ141_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1107,f798])).
% 0.14/0.41 fof(f1123,plain,(
% 0.14/0.41 ~sQ65_spl|~sQ8_spl|~sQ141_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1122])).
% 0.14/0.41 fof(f1124,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f241,f243,f245,f266,f272,f319,f330,f358,f399,f505,f521,f635,f1085,f1109,f1123])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.073250 seconds
% 0.14/0.45 % CPU time: 0.176730 seconds
% 0.14/0.45 % Total memory used: 31.031 MB
% 0.14/0.45 % Net memory used: 30.975 MB
%------------------------------------------------------------------------------