TSTP Solution File: GRP640+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:21:11 EDT 2024
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n021.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 00:30:25 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 (! [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] :( m1_group_2(C,A)=> (! [D] :( m1_group_2(D,A)=> (! [E] :( ( v1_funct_1(E)& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )=> (! [F] :( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))=> ( F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D))=> k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F))) ) ) )) )) )) )) )) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~((! [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] :( m1_group_2(C,A)=> (! [D] :( m1_group_2(D,A)=> (! [E] :( ( v1_funct_1(E)& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )=> (! [F] :( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))=> ( F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D))=> k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F))) ) ) )) )) )) )) )) ))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f49,axiom,(
% 0.10/0.39 (! [A,B,C,D] :( ( v1_funct_1(C)& v1_funct_2(C,A,B)& m1_relset_1(C,A,B) )=> k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f50,axiom,(
% 0.10/0.39 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f51,axiom,(
% 0.10/0.39 (! [A,B,C] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& v1_group_1(B)& m1_group_2(B,A)& v1_group_1(C)& m1_group_2(C,A) )=> ( r1_group_2(A,B,C)<=> B = C ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f55,axiom,(
% 0.10/0.39 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> ( v1_group_1(k5_group_4(A,B))& m1_group_2(k5_group_4(A,B),A) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f56,axiom,(
% 0.10/0.39 (! [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(k8_group_4(A,B,C))& m1_group_2(k8_group_4(A,B,C),A) ) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f62,axiom,(
% 0.10/0.39 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f64,axiom,(
% 0.10/0.39 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> (! [C] :( m1_group_2(C,A)=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))=> ( D = k2_xboole_0(u1_struct_0(B),u1_struct_0(C))=> r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D)) ) ) )) )) )) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f65,plain,(
% 0.10/0.39 (?[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]: (m1_group_2(C,A)&(?[D]: (m1_group_2(D,A)&(?[E]: (((v1_funct_1(E)&v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)))&m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)))&(?[F]: (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))&(F=k2_xboole_0(u1_struct_0(C),u1_struct_0(D))&~k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D)))=k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F))))))))))))))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.39 fof(f66,plain,(
% 0.10/0.39 ((((~v3_struct_0(sk0_0)&v3_group_1(sk0_0))&v4_group_1(sk0_0))&l1_group_1(sk0_0))&((((~v3_struct_0(sk0_1)&v3_group_1(sk0_1))&v4_group_1(sk0_1))&l1_group_1(sk0_1))&(m1_group_2(sk0_2,sk0_0)&(m1_group_2(sk0_3,sk0_0)&(((v1_funct_1(sk0_4)&v1_funct_2(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1)))&m2_relset_1(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1)))&(m1_subset_1(sk0_5,k1_zfmisc_1(u1_struct_0(sk0_0)))&(sk0_5=k2_xboole_0(u1_struct_0(sk0_2),u1_struct_0(sk0_3))&~k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,u1_struct_0(k8_group_4(sk0_0,sk0_2,sk0_3)))=k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5))))))))))),
% 0.10/0.39 inference(skolemization,[status(esa)],[f65])).
% 0.10/0.39 fof(f67,plain,(
% 0.10/0.39 ~v3_struct_0(sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f68,plain,(
% 0.10/0.39 v3_group_1(sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f69,plain,(
% 0.10/0.39 v4_group_1(sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f70,plain,(
% 0.10/0.39 l1_group_1(sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f75,plain,(
% 0.10/0.39 m1_group_2(sk0_2,sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f76,plain,(
% 0.10/0.39 m1_group_2(sk0_3,sk0_0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f77,plain,(
% 0.10/0.39 v1_funct_1(sk0_4)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f78,plain,(
% 0.10/0.39 v1_funct_2(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f79,plain,(
% 0.10/0.39 m2_relset_1(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f80,plain,(
% 0.10/0.39 m1_subset_1(sk0_5,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f81,plain,(
% 0.10/0.39 sk0_5=k2_xboole_0(u1_struct_0(sk0_2),u1_struct_0(sk0_3))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f82,plain,(
% 0.10/0.39 ~k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,u1_struct_0(k8_group_4(sk0_0,sk0_2,sk0_3)))=k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.10/0.39 fof(f193,plain,(
% 0.10/0.39 ![A,B,C,D]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|k2_funct_2(A,B,C,D)=k9_relat_1(C,D))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.10/0.39 fof(f194,plain,(
% 0.10/0.39 ![A,B,C]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|(![D]: k2_funct_2(A,B,C,D)=k9_relat_1(C,D)))),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f193])).
% 0.10/0.39 fof(f195,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~v1_funct_2(X0,X1,X2)|~m1_relset_1(X0,X1,X2)|k2_funct_2(X1,X2,X0,X3)=k9_relat_1(X0,X3))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f194])).
% 0.10/0.39 fof(f196,plain,(
% 0.10/0.39 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f50])).
% 0.10/0.39 fof(f197,plain,(
% 0.10/0.39 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f196])).
% 0.10/0.39 fof(f198,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f197])).
% 0.10/0.39 fof(f200,plain,(
% 0.10/0.39 ![A,B,C]: ((((((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~v1_group_1(B))|~m1_group_2(B,A))|~v1_group_1(C))|~m1_group_2(C,A))|(r1_group_2(A,B,C)<=>B=C))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.10/0.39 fof(f201,plain,(
% 0.10/0.39 ![A,B,C]: ((((((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~v1_group_1(B))|~m1_group_2(B,A))|~v1_group_1(C))|~m1_group_2(C,A))|((~r1_group_2(A,B,C)|B=C)&(r1_group_2(A,B,C)|~B=C)))),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f200])).
% 0.10/0.39 fof(f202,plain,(
% 0.10/0.39 ![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)|~r1_group_2(X0,X1,X2)|X1=X2)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f201])).
% 0.10/0.39 fof(f207,plain,(
% 0.10/0.39 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(v1_group_1(k5_group_4(A,B))&m1_group_2(k5_group_4(A,B),A)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.10/0.39 fof(f208,plain,(
% 0.10/0.39 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v1_group_1(k5_group_4(X0,X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f207])).
% 0.10/0.39 fof(f209,plain,(
% 0.10/0.39 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|m1_group_2(k5_group_4(X0,X1),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f207])).
% 0.10/0.39 fof(f210,plain,(
% 0.10/0.39 ![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(k8_group_4(A,B,C))&m1_group_2(k8_group_4(A,B,C),A)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.10/0.39 fof(f211,plain,(
% 0.10/0.39 ![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(k8_group_4(X0,X1,X2)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f210])).
% 0.10/0.39 fof(f212,plain,(
% 0.10/0.39 ![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(k8_group_4(X0,X1,X2),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f210])).
% 0.10/0.39 fof(f221,plain,(
% 0.10/0.39 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f62])).
% 0.10/0.39 fof(f226,plain,(
% 0.10/0.39 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|(![C]: (~m1_group_2(C,A)|(![D]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|(~D=k2_xboole_0(u1_struct_0(B),u1_struct_0(C))|r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D))))))))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 0.10/0.39 fof(f227,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (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_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))|~X3=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))|r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f226])).
% 0.10/0.39 fof(f230,plain,(
% 0.10/0.39 ![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_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))|r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))))),
% 0.10/0.39 inference(destructive_equality_resolution,[status(esa)],[f227])).
% 0.10/0.39 fof(f231,plain,(
% 0.10/0.39 m1_relset_1(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.10/0.39 inference(resolution,[status(thm)],[f79,f198])).
% 0.10/0.39 fof(f247,plain,(
% 0.10/0.39 spl0_0 <=> v3_struct_0(sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f248,plain,(
% 0.10/0.39 v3_struct_0(sk0_0)|~spl0_0),
% 0.10/0.39 inference(component_clause,[status(thm)],[f247])).
% 0.10/0.39 fof(f250,plain,(
% 0.10/0.39 spl0_1 <=> v3_group_1(sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f252,plain,(
% 0.10/0.39 ~v3_group_1(sk0_0)|spl0_1),
% 0.10/0.39 inference(component_clause,[status(thm)],[f250])).
% 0.10/0.39 fof(f253,plain,(
% 0.10/0.39 spl0_2 <=> l1_group_1(sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f255,plain,(
% 0.10/0.39 ~l1_group_1(sk0_0)|spl0_2),
% 0.10/0.39 inference(component_clause,[status(thm)],[f253])).
% 0.10/0.39 fof(f276,plain,(
% 0.10/0.39 $false|spl0_2),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f255,f70])).
% 0.10/0.39 fof(f277,plain,(
% 0.10/0.39 spl0_2),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f276])).
% 0.10/0.39 fof(f278,plain,(
% 0.10/0.39 $false|spl0_1),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f252,f68])).
% 0.10/0.39 fof(f279,plain,(
% 0.10/0.39 spl0_1),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f278])).
% 0.10/0.39 fof(f280,plain,(
% 0.10/0.39 $false|~spl0_0),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f248,f67])).
% 0.10/0.39 fof(f281,plain,(
% 0.10/0.39 ~spl0_0),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f280])).
% 0.10/0.39 fof(f294,plain,(
% 0.10/0.39 spl0_9 <=> v1_funct_1(sk0_4)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f296,plain,(
% 0.10/0.39 ~v1_funct_1(sk0_4)|spl0_9),
% 0.10/0.39 inference(component_clause,[status(thm)],[f294])).
% 0.10/0.39 fof(f297,plain,(
% 0.10/0.39 spl0_10 <=> v1_funct_2(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f299,plain,(
% 0.10/0.39 ~v1_funct_2(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_10),
% 0.10/0.39 inference(component_clause,[status(thm)],[f297])).
% 0.10/0.39 fof(f305,plain,(
% 0.10/0.39 $false|spl0_10),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f299,f78])).
% 0.10/0.39 fof(f306,plain,(
% 0.10/0.39 spl0_10),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f305])).
% 0.10/0.39 fof(f307,plain,(
% 0.10/0.39 $false|spl0_9),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f296,f77])).
% 0.10/0.39 fof(f308,plain,(
% 0.10/0.39 spl0_9),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f307])).
% 0.10/0.39 fof(f337,plain,(
% 0.10/0.39 spl0_20 <=> v4_group_1(sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f339,plain,(
% 0.10/0.39 ~v4_group_1(sk0_0)|spl0_20),
% 0.10/0.39 inference(component_clause,[status(thm)],[f337])).
% 0.10/0.39 fof(f340,plain,(
% 0.10/0.39 spl0_21 <=> v1_group_1(k5_group_4(sk0_0,sk0_5))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f343,plain,(
% 0.10/0.39 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|v1_group_1(k5_group_4(sk0_0,sk0_5))),
% 0.10/0.39 inference(resolution,[status(thm)],[f208,f80])).
% 0.10/0.39 fof(f344,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|spl0_21),
% 0.10/0.39 inference(split_clause,[status(thm)],[f343,f247,f250,f337,f253,f340])).
% 0.10/0.39 fof(f346,plain,(
% 0.10/0.39 $false|spl0_20),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f339,f69])).
% 0.10/0.39 fof(f347,plain,(
% 0.10/0.39 spl0_20),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f346])).
% 0.10/0.39 fof(f361,plain,(
% 0.10/0.39 spl0_23 <=> m1_group_2(k5_group_4(sk0_0,sk0_5),sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f364,plain,(
% 0.10/0.39 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|m1_group_2(k5_group_4(sk0_0,sk0_5),sk0_0)),
% 0.10/0.39 inference(resolution,[status(thm)],[f209,f80])).
% 0.10/0.39 fof(f365,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|spl0_23),
% 0.10/0.39 inference(split_clause,[status(thm)],[f364,f247,f250,f337,f253,f361])).
% 0.10/0.39 fof(f441,plain,(
% 0.10/0.39 spl0_38 <=> ~m1_group_2(X0,sk0_0)|v1_group_1(k8_group_4(sk0_0,sk0_2,X0))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f442,plain,(
% 0.10/0.39 ![X0]: (~m1_group_2(X0,sk0_0)|v1_group_1(k8_group_4(sk0_0,sk0_2,X0))|~spl0_38)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f441])).
% 0.10/0.39 fof(f444,plain,(
% 0.10/0.39 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(X0,sk0_0)|v1_group_1(k8_group_4(sk0_0,sk0_2,X0)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f211,f75])).
% 0.10/0.39 fof(f445,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|spl0_38),
% 0.10/0.39 inference(split_clause,[status(thm)],[f444,f247,f250,f337,f253,f441])).
% 0.10/0.39 fof(f544,plain,(
% 0.10/0.39 spl0_60 <=> ~m1_group_2(X0,sk0_0)|m1_group_2(k8_group_4(sk0_0,sk0_2,X0),sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f545,plain,(
% 0.10/0.39 ![X0]: (~m1_group_2(X0,sk0_0)|m1_group_2(k8_group_4(sk0_0,sk0_2,X0),sk0_0)|~spl0_60)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f544])).
% 0.10/0.39 fof(f547,plain,(
% 0.10/0.39 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(X0,sk0_0)|m1_group_2(k8_group_4(sk0_0,sk0_2,X0),sk0_0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f212,f75])).
% 0.10/0.39 fof(f548,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|spl0_60),
% 0.10/0.39 inference(split_clause,[status(thm)],[f547,f247,f250,f337,f253,f544])).
% 0.10/0.39 fof(f549,plain,(
% 0.10/0.39 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_2,X0)|~m1_group_2(sk0_3,X0)|~m1_subset_1(sk0_5,k1_zfmisc_1(u1_struct_0(X0)))|r1_group_2(X0,k8_group_4(X0,sk0_2,sk0_3),k5_group_4(X0,k2_xboole_0(u1_struct_0(sk0_2),u1_struct_0(sk0_3)))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f81,f230])).
% 0.10/0.39 fof(f550,plain,(
% 0.10/0.39 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_2,X0)|~m1_group_2(sk0_3,X0)|~m1_subset_1(sk0_5,k1_zfmisc_1(u1_struct_0(X0)))|r1_group_2(X0,k8_group_4(X0,sk0_2,sk0_3),k5_group_4(X0,sk0_5)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f81,f549])).
% 0.10/0.39 fof(f556,plain,(
% 0.10/0.39 spl0_61 <=> m1_group_2(sk0_2,sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f558,plain,(
% 0.10/0.39 ~m1_group_2(sk0_2,sk0_0)|spl0_61),
% 0.10/0.39 inference(component_clause,[status(thm)],[f556])).
% 0.10/0.39 fof(f559,plain,(
% 0.10/0.39 spl0_62 <=> m1_group_2(sk0_3,sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f561,plain,(
% 0.10/0.39 ~m1_group_2(sk0_3,sk0_0)|spl0_62),
% 0.10/0.39 inference(component_clause,[status(thm)],[f559])).
% 0.10/0.39 fof(f562,plain,(
% 0.10/0.39 spl0_63 <=> r1_group_2(sk0_0,k8_group_4(sk0_0,sk0_2,sk0_3),k5_group_4(sk0_0,sk0_5))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f563,plain,(
% 0.10/0.39 r1_group_2(sk0_0,k8_group_4(sk0_0,sk0_2,sk0_3),k5_group_4(sk0_0,sk0_5))|~spl0_63),
% 0.10/0.39 inference(component_clause,[status(thm)],[f562])).
% 0.10/0.39 fof(f565,plain,(
% 0.10/0.39 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(sk0_2,sk0_0)|~m1_group_2(sk0_3,sk0_0)|r1_group_2(sk0_0,k8_group_4(sk0_0,sk0_2,sk0_3),k5_group_4(sk0_0,sk0_5))),
% 0.10/0.39 inference(resolution,[status(thm)],[f550,f80])).
% 0.10/0.39 fof(f566,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|~spl0_61|~spl0_62|spl0_63),
% 0.10/0.39 inference(split_clause,[status(thm)],[f565,f247,f250,f337,f253,f556,f559,f562])).
% 0.10/0.39 fof(f567,plain,(
% 0.10/0.39 $false|spl0_62),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f561,f76])).
% 0.10/0.39 fof(f568,plain,(
% 0.10/0.39 spl0_62),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f567])).
% 0.10/0.39 fof(f569,plain,(
% 0.10/0.39 $false|spl0_61),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f558,f75])).
% 0.10/0.39 fof(f570,plain,(
% 0.10/0.39 spl0_61),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f569])).
% 0.10/0.39 fof(f659,plain,(
% 0.10/0.39 spl0_77 <=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1))))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f660,plain,(
% 0.10/0.39 v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1))))|~spl0_77),
% 0.10/0.39 inference(component_clause,[status(thm)],[f659])).
% 0.10/0.39 fof(f667,plain,(
% 0.10/0.39 spl0_79 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f668,plain,(
% 0.10/0.39 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_1)))|~spl0_79),
% 0.10/0.39 inference(component_clause,[status(thm)],[f667])).
% 0.10/0.39 fof(f675,plain,(
% 0.10/0.39 spl0_81 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f676,plain,(
% 0.10/0.39 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_81),
% 0.10/0.39 inference(component_clause,[status(thm)],[f675])).
% 0.10/0.39 fof(f687,plain,(
% 0.10/0.39 $false|~spl0_79),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f668,f221])).
% 0.10/0.39 fof(f688,plain,(
% 0.10/0.39 ~spl0_79),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f687])).
% 0.10/0.39 fof(f689,plain,(
% 0.10/0.39 $false|~spl0_81),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f676,f221])).
% 0.10/0.39 fof(f690,plain,(
% 0.10/0.39 ~spl0_81),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f689])).
% 0.10/0.39 fof(f691,plain,(
% 0.10/0.39 $false|~spl0_77),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f660,f221])).
% 0.10/0.39 fof(f692,plain,(
% 0.10/0.39 ~spl0_77),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f691])).
% 0.10/0.39 fof(f693,plain,(
% 0.10/0.39 spl0_83 <=> k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,X0)=k9_relat_1(sk0_4,X0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f694,plain,(
% 0.10/0.39 ![X0]: (k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,X0)=k9_relat_1(sk0_4,X0)|~spl0_83)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f693])).
% 0.10/0.39 fof(f696,plain,(
% 0.10/0.39 ![X0]: (~v1_funct_1(sk0_4)|~v1_funct_2(sk0_4,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,X0)=k9_relat_1(sk0_4,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f195,f231])).
% 0.10/0.39 fof(f697,plain,(
% 0.10/0.39 ~spl0_9|~spl0_10|spl0_83),
% 0.10/0.39 inference(split_clause,[status(thm)],[f696,f294,f297,f693])).
% 0.10/0.39 fof(f698,plain,(
% 0.10/0.39 ~k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_4,u1_struct_0(k8_group_4(sk0_0,sk0_2,sk0_3)))=k9_relat_1(sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5)))|~spl0_83),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f694,f82])).
% 0.10/0.39 fof(f699,plain,(
% 0.10/0.39 ~k9_relat_1(sk0_4,u1_struct_0(k8_group_4(sk0_0,sk0_2,sk0_3)))=k9_relat_1(sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5)))|~spl0_83),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f694,f698])).
% 0.10/0.39 fof(f791,plain,(
% 0.10/0.39 v1_group_1(k8_group_4(sk0_0,sk0_2,sk0_3))|~spl0_38),
% 0.10/0.39 inference(resolution,[status(thm)],[f442,f76])).
% 0.10/0.39 fof(f905,plain,(
% 0.10/0.39 m1_group_2(k8_group_4(sk0_0,sk0_2,sk0_3),sk0_0)|~spl0_60),
% 0.10/0.39 inference(resolution,[status(thm)],[f545,f76])).
% 0.10/0.39 fof(f1241,plain,(
% 0.10/0.39 spl0_157 <=> v1_group_1(k8_group_4(sk0_0,sk0_2,sk0_3))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1243,plain,(
% 0.10/0.39 ~v1_group_1(k8_group_4(sk0_0,sk0_2,sk0_3))|spl0_157),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1241])).
% 0.10/0.39 fof(f1244,plain,(
% 0.10/0.39 spl0_158 <=> m1_group_2(k8_group_4(sk0_0,sk0_2,sk0_3),sk0_0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1246,plain,(
% 0.10/0.39 ~m1_group_2(k8_group_4(sk0_0,sk0_2,sk0_3),sk0_0)|spl0_158),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1244])).
% 0.10/0.39 fof(f1252,plain,(
% 0.10/0.39 spl0_160 <=> k8_group_4(sk0_0,sk0_2,sk0_3)=k5_group_4(sk0_0,sk0_5)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1253,plain,(
% 0.10/0.39 k8_group_4(sk0_0,sk0_2,sk0_3)=k5_group_4(sk0_0,sk0_5)|~spl0_160),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1252])).
% 0.10/0.39 fof(f1255,plain,(
% 0.10/0.39 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~v1_group_1(k8_group_4(sk0_0,sk0_2,sk0_3))|~m1_group_2(k8_group_4(sk0_0,sk0_2,sk0_3),sk0_0)|~v1_group_1(k5_group_4(sk0_0,sk0_5))|~m1_group_2(k5_group_4(sk0_0,sk0_5),sk0_0)|k8_group_4(sk0_0,sk0_2,sk0_3)=k5_group_4(sk0_0,sk0_5)|~spl0_63),
% 0.10/0.39 inference(resolution,[status(thm)],[f563,f202])).
% 0.10/0.39 fof(f1256,plain,(
% 0.10/0.39 spl0_0|~spl0_1|~spl0_20|~spl0_2|~spl0_157|~spl0_158|~spl0_21|~spl0_23|spl0_160|~spl0_63),
% 0.10/0.39 inference(split_clause,[status(thm)],[f1255,f247,f250,f337,f253,f1241,f1244,f340,f361,f1252,f562])).
% 0.10/0.39 fof(f1257,plain,(
% 0.10/0.39 $false|~spl0_60|spl0_158),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1246,f905])).
% 0.10/0.39 fof(f1258,plain,(
% 0.10/0.39 ~spl0_60|spl0_158),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1257])).
% 0.10/0.39 fof(f1259,plain,(
% 0.10/0.39 $false|~spl0_38|spl0_157),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1243,f791])).
% 0.10/0.39 fof(f1260,plain,(
% 0.10/0.39 ~spl0_38|spl0_157),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1259])).
% 0.10/0.39 fof(f1264,plain,(
% 0.10/0.39 ~k9_relat_1(sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5)))=k9_relat_1(sk0_4,u1_struct_0(k5_group_4(sk0_0,sk0_5)))|~spl0_160|~spl0_83),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f1253,f699])).
% 0.10/0.39 fof(f1265,plain,(
% 0.10/0.39 $false|~spl0_160|~spl0_83),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f1264])).
% 0.10/0.39 fof(f1266,plain,(
% 0.10/0.39 ~spl0_160|~spl0_83),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1265])).
% 0.10/0.39 fof(f1267,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f277,f279,f281,f306,f308,f344,f347,f365,f445,f548,f566,f568,f570,f688,f690,f692,f697,f1256,f1258,f1260,f1266])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.41 % Elapsed time: 0.067158 seconds
% 0.16/0.41 % CPU time: 0.337691 seconds
% 0.16/0.41 % Total memory used: 65.746 MB
% 0.16/0.41 % Net memory used: 65.547 MB
%------------------------------------------------------------------------------