TSTP Solution File: TOP025+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:49:56 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n029.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:47:06 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,conjecture,(
% 0.14/0.36 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ~ ( ( v3_pre_topc(B,A)| v4_pre_topc(B,A) )& v1_tsp_2(B,A)& v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,negated_conjecture,(
% 0.14/0.36 ~((! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ~ ( ( v3_pre_topc(B,A)| v4_pre_topc(B,A) )& v1_tsp_2(B,A)& v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )) ))),
% 0.14/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.36 fof(f25,axiom,(
% 0.14/0.36 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ( v1_tsp_2(B,A)<=> ( v1_tsp_1(B,A)& k3_tex_4(A,B) = u1_struct_0(A) ) ) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f33,axiom,(
% 0.14/0.36 (? [A] : l1_pre_topc(A) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f35,axiom,(
% 0.14/0.36 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f37,axiom,(
% 0.14/0.36 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f39,axiom,(
% 0.14/0.36 (? [A] :( ~ v1_xboole_0(A)& v1_membered(A)& v2_membered(A)& v3_membered(A)& v4_membered(A)& v5_membered(A) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f42,axiom,(
% 0.14/0.36 (! [A] :(? [B] :( m1_subset_1(B,k1_zfmisc_1(A))& v1_xboole_0(B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f44,axiom,(
% 0.14/0.36 (? [A] :( l1_struct_0(A)& ~ v3_struct_0(A) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f46,axiom,(
% 0.14/0.36 (! [A] :( l1_pre_topc(A)=> (? [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& v1_xboole_0(B)& v1_membered(B)& v2_membered(B)& v3_membered(B)& v4_membered(B)& v5_membered(B)& v2_tops_1(B,A) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f51,axiom,(
% 0.14/0.36 (! [A,B] : r1_tarski(A,A) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f54,axiom,(
% 0.14/0.36 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f56,axiom,(
% 0.14/0.36 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ( v3_pre_topc(B,A)=> k3_tex_4(A,B) = B ) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f58,axiom,(
% 0.14/0.36 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(A))=> ( v1_tex_2(B,k1_zfmisc_1(A))<=> B != A ) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f59,axiom,(
% 0.14/0.36 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ( v4_pre_topc(B,A)=> k3_tex_4(A,B) = B ) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f60,axiom,(
% 0.14/0.36 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f63,plain,(
% 0.14/0.36 (?[A]: (((~v3_struct_0(A)&v2_pre_topc(A))&l1_pre_topc(A))&(?[B]: (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&(((v3_pre_topc(B,A)|v4_pre_topc(B,A))&v1_tsp_2(B,A))&v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.36 fof(f64,plain,(
% 0.14/0.36 (((~v3_struct_0(sk0_0)&v2_pre_topc(sk0_0))&l1_pre_topc(sk0_0))&(m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))&(((v3_pre_topc(sk0_1,sk0_0)|v4_pre_topc(sk0_1,sk0_0))&v1_tsp_2(sk0_1,sk0_0))&v1_tex_2(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f63])).
% 0.14/0.36 fof(f65,plain,(
% 0.14/0.36 ~v3_struct_0(sk0_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f66,plain,(
% 0.14/0.36 v2_pre_topc(sk0_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f67,plain,(
% 0.14/0.36 l1_pre_topc(sk0_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f68,plain,(
% 0.14/0.36 m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f69,plain,(
% 0.14/0.36 v3_pre_topc(sk0_1,sk0_0)|v4_pre_topc(sk0_1,sk0_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f70,plain,(
% 0.14/0.36 v1_tsp_2(sk0_1,sk0_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f71,plain,(
% 0.14/0.36 v1_tex_2(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.36 fof(f151,plain,(
% 0.14/0.36 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(v1_tsp_2(B,A)<=>(v1_tsp_1(B,A)&k3_tex_4(A,B)=u1_struct_0(A))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.14/0.36 fof(f152,plain,(
% 0.14/0.36 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|((~v1_tsp_2(B,A)|(v1_tsp_1(B,A)&k3_tex_4(A,B)=u1_struct_0(A)))&(v1_tsp_2(B,A)|(~v1_tsp_1(B,A)|~k3_tex_4(A,B)=u1_struct_0(A)))))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f151])).
% 0.14/0.36 fof(f154,plain,(
% 0.14/0.36 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v1_tsp_2(X1,X0)|k3_tex_4(X0,X1)=u1_struct_0(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f152])).
% 0.14/0.36 fof(f160,plain,(
% 0.14/0.36 l1_pre_topc(sk0_2)),
% 0.14/0.36 inference(skolemization,[status(esa)],[f33])).
% 0.14/0.36 fof(f161,plain,(
% 0.14/0.36 l1_pre_topc(sk0_2)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.14/0.36 fof(f164,plain,(
% 0.14/0.36 ![A]: m1_subset_1(sk0_4(A),A)),
% 0.14/0.36 inference(skolemization,[status(esa)],[f35])).
% 0.14/0.36 fof(f165,plain,(
% 0.14/0.36 ![X0]: (m1_subset_1(sk0_4(X0),X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f164])).
% 0.14/0.36 fof(f168,plain,(
% 0.14/0.36 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.36 fof(f175,plain,(
% 0.14/0.36 (((((~v1_xboole_0(sk0_5)&v1_membered(sk0_5))&v2_membered(sk0_5))&v3_membered(sk0_5))&v4_membered(sk0_5))&v5_membered(sk0_5))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f39])).
% 0.14/0.36 fof(f176,plain,(
% 0.14/0.36 ~v1_xboole_0(sk0_5)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f175])).
% 0.14/0.36 fof(f190,plain,(
% 0.14/0.36 ![A]: (m1_subset_1(sk0_8(A),k1_zfmisc_1(A))&v1_xboole_0(sk0_8(A)))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f42])).
% 0.14/0.36 fof(f191,plain,(
% 0.14/0.36 ![X0]: (m1_subset_1(sk0_8(X0),k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.36 fof(f192,plain,(
% 0.14/0.36 ![X0]: (v1_xboole_0(sk0_8(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.36 fof(f198,plain,(
% 0.14/0.36 (l1_struct_0(sk0_10)&~v3_struct_0(sk0_10))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f44])).
% 0.14/0.36 fof(f199,plain,(
% 0.14/0.36 l1_struct_0(sk0_10)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f198])).
% 0.14/0.36 fof(f200,plain,(
% 0.14/0.36 ~v3_struct_0(sk0_10)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f198])).
% 0.14/0.36 fof(f207,plain,(
% 0.14/0.36 ![A]: (~l1_pre_topc(A)|(?[B]: (((((((m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v1_xboole_0(B))&v1_membered(B))&v2_membered(B))&v3_membered(B))&v4_membered(B))&v5_membered(B))&v2_tops_1(B,A))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.14/0.36 fof(f208,plain,(
% 0.14/0.36 ![A]: (~l1_pre_topc(A)|(((((((m1_subset_1(sk0_12(A),k1_zfmisc_1(u1_struct_0(A)))&v1_xboole_0(sk0_12(A)))&v1_membered(sk0_12(A)))&v2_membered(sk0_12(A)))&v3_membered(sk0_12(A)))&v4_membered(sk0_12(A)))&v5_membered(sk0_12(A)))&v2_tops_1(sk0_12(A),A)))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f207])).
% 0.14/0.36 fof(f210,plain,(
% 0.14/0.36 ![X0]: (~l1_pre_topc(X0)|v1_xboole_0(sk0_12(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f208])).
% 0.14/0.36 fof(f243,plain,(
% 0.14/0.36 ![A]: r1_tarski(A,A)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f51])).
% 0.14/0.36 fof(f244,plain,(
% 0.14/0.36 ![X0]: (r1_tarski(X0,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f243])).
% 0.14/0.36 fof(f249,plain,(
% 0.14/0.36 ![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)))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f54])).
% 0.14/0.36 fof(f250,plain,(
% 0.14/0.36 (![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)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f249])).
% 0.14/0.36 fof(f252,plain,(
% 0.14/0.36 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f250])).
% 0.14/0.36 fof(f256,plain,(
% 0.14/0.36 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(~v3_pre_topc(B,A)|k3_tex_4(A,B)=B))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.14/0.36 fof(f257,plain,(
% 0.14/0.36 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v3_pre_topc(X1,X0)|k3_tex_4(X0,X1)=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f256])).
% 0.14/0.36 fof(f261,plain,(
% 0.14/0.36 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(A))|(v1_tex_2(B,k1_zfmisc_1(A))<=>~B=A))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.14/0.36 fof(f262,plain,(
% 0.14/0.36 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(A))|((~v1_tex_2(B,k1_zfmisc_1(A))|~B=A)&(v1_tex_2(B,k1_zfmisc_1(A))|B=A)))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f261])).
% 0.14/0.36 fof(f263,plain,(
% 0.14/0.36 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|~v1_tex_2(X0,k1_zfmisc_1(X1))|~X0=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f262])).
% 0.14/0.36 fof(f265,plain,(
% 0.14/0.36 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(~v4_pre_topc(B,A)|k3_tex_4(A,B)=B))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.14/0.36 fof(f266,plain,(
% 0.14/0.36 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v4_pre_topc(X1,X0)|k3_tex_4(X0,X1)=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f265])).
% 0.14/0.36 fof(f267,plain,(
% 0.14/0.36 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.14/0.36 fof(f268,plain,(
% 0.14/0.36 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f267])).
% 0.14/0.36 fof(f275,plain,(
% 0.14/0.36 spl0_0 <=> v3_pre_topc(sk0_1,sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f276,plain,(
% 0.14/0.36 v3_pre_topc(sk0_1,sk0_0)|~spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f275])).
% 0.14/0.36 fof(f278,plain,(
% 0.14/0.36 spl0_1 <=> v4_pre_topc(sk0_1,sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f281,plain,(
% 0.14/0.36 spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f69,f275,f278])).
% 0.14/0.36 fof(f282,plain,(
% 0.14/0.36 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(X0))|~v1_tex_2(X0,k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f263])).
% 0.14/0.36 fof(f283,plain,(
% 0.14/0.36 spl0_2 <=> v3_struct_0(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f284,plain,(
% 0.14/0.36 v3_struct_0(sk0_0)|~spl0_2),
% 0.14/0.36 inference(component_clause,[status(thm)],[f283])).
% 0.14/0.36 fof(f286,plain,(
% 0.14/0.36 spl0_3 <=> v2_pre_topc(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f288,plain,(
% 0.14/0.36 ~v2_pre_topc(sk0_0)|spl0_3),
% 0.14/0.36 inference(component_clause,[status(thm)],[f286])).
% 0.14/0.36 fof(f289,plain,(
% 0.14/0.36 spl0_4 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v1_tsp_2(X0,sk0_0)|k3_tex_4(sk0_0,X0)=u1_struct_0(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f290,plain,(
% 0.14/0.36 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v1_tsp_2(X0,sk0_0)|k3_tex_4(sk0_0,X0)=u1_struct_0(sk0_0)|~spl0_4)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f289])).
% 0.14/0.36 fof(f292,plain,(
% 0.14/0.36 ![X0]: (v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v1_tsp_2(X0,sk0_0)|k3_tex_4(sk0_0,X0)=u1_struct_0(sk0_0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f154,f67])).
% 0.14/0.36 fof(f293,plain,(
% 0.14/0.36 spl0_2|~spl0_3|spl0_4),
% 0.14/0.36 inference(split_clause,[status(thm)],[f292,f283,f286,f289])).
% 0.14/0.36 fof(f294,plain,(
% 0.14/0.36 $false|spl0_3),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f288,f66])).
% 0.14/0.36 fof(f295,plain,(
% 0.14/0.36 spl0_3),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f294])).
% 0.14/0.36 fof(f296,plain,(
% 0.14/0.36 $false|~spl0_2),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f284,f65])).
% 0.14/0.36 fof(f297,plain,(
% 0.14/0.36 ~spl0_2),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f296])).
% 0.14/0.36 fof(f324,plain,(
% 0.14/0.36 spl0_11 <=> m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f326,plain,(
% 0.14/0.36 ~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_11),
% 0.14/0.36 inference(component_clause,[status(thm)],[f324])).
% 0.14/0.36 fof(f327,plain,(
% 0.14/0.36 spl0_12 <=> k3_tex_4(sk0_0,sk0_1)=u1_struct_0(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f328,plain,(
% 0.14/0.36 k3_tex_4(sk0_0,sk0_1)=u1_struct_0(sk0_0)|~spl0_12),
% 0.14/0.36 inference(component_clause,[status(thm)],[f327])).
% 0.14/0.36 fof(f330,plain,(
% 0.14/0.36 ~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|k3_tex_4(sk0_0,sk0_1)=u1_struct_0(sk0_0)|~spl0_4),
% 0.14/0.36 inference(resolution,[status(thm)],[f290,f70])).
% 0.14/0.36 fof(f331,plain,(
% 0.14/0.36 ~spl0_11|spl0_12|~spl0_4),
% 0.14/0.36 inference(split_clause,[status(thm)],[f330,f324,f327,f289])).
% 0.14/0.36 fof(f332,plain,(
% 0.14/0.36 $false|spl0_11),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f326,f68])).
% 0.14/0.36 fof(f333,plain,(
% 0.14/0.36 spl0_11),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f332])).
% 0.14/0.36 fof(f372,plain,(
% 0.14/0.36 ![X0]: (sk0_8(X0)=k1_xboole_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f268,f192])).
% 0.14/0.36 fof(f383,plain,(
% 0.14/0.36 ![X0]: (m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f372,f191])).
% 0.14/0.36 fof(f410,plain,(
% 0.14/0.36 v1_xboole_0(sk0_12(sk0_0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f210,f67])).
% 0.14/0.36 fof(f411,plain,(
% 0.14/0.36 sk0_12(sk0_0)=k1_xboole_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f410,f268])).
% 0.14/0.36 fof(f451,plain,(
% 0.14/0.36 spl0_20 <=> l1_pre_topc(sk0_2)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f453,plain,(
% 0.14/0.36 ~l1_pre_topc(sk0_2)|spl0_20),
% 0.14/0.36 inference(component_clause,[status(thm)],[f451])).
% 0.14/0.36 fof(f459,plain,(
% 0.14/0.36 spl0_22 <=> l1_pre_topc(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f461,plain,(
% 0.14/0.36 ~l1_pre_topc(sk0_0)|spl0_22),
% 0.14/0.36 inference(component_clause,[status(thm)],[f459])).
% 0.14/0.36 fof(f464,plain,(
% 0.14/0.36 $false|spl0_22),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f461,f67])).
% 0.14/0.36 fof(f465,plain,(
% 0.14/0.36 spl0_22),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f464])).
% 0.14/0.36 fof(f466,plain,(
% 0.14/0.36 $false|spl0_20),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f453,f161])).
% 0.14/0.36 fof(f467,plain,(
% 0.14/0.36 spl0_20),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f466])).
% 0.14/0.36 fof(f534,plain,(
% 0.14/0.36 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(resolution,[status(thm)],[f252,f244])).
% 0.14/0.36 fof(f535,plain,(
% 0.14/0.36 ![X0]: (~v1_tex_2(X0,k1_zfmisc_1(X0)))),
% 0.14/0.36 inference(backward_subsumption_resolution,[status(thm)],[f282,f534])).
% 0.14/0.36 fof(f578,plain,(
% 0.14/0.36 spl0_28 <=> v1_xboole_0(sk0_5)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f579,plain,(
% 0.14/0.36 v1_xboole_0(sk0_5)|~spl0_28),
% 0.14/0.36 inference(component_clause,[status(thm)],[f578])).
% 0.14/0.36 fof(f594,plain,(
% 0.14/0.36 $false|~spl0_28),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f579,f176])).
% 0.14/0.36 fof(f595,plain,(
% 0.14/0.36 ~spl0_28),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f594])).
% 0.14/0.36 fof(f851,plain,(
% 0.14/0.36 spl0_48 <=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f853,plain,(
% 0.14/0.36 ~m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_48),
% 0.14/0.36 inference(component_clause,[status(thm)],[f851])).
% 0.14/0.36 fof(f866,plain,(
% 0.14/0.36 $false|spl0_48),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f853,f383])).
% 0.14/0.36 fof(f867,plain,(
% 0.14/0.36 spl0_48),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f866])).
% 0.14/0.36 fof(f883,plain,(
% 0.14/0.36 spl0_52 <=> m1_subset_1(sk0_12(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f885,plain,(
% 0.14/0.36 ~m1_subset_1(sk0_12(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_52),
% 0.14/0.36 inference(component_clause,[status(thm)],[f883])).
% 0.14/0.36 fof(f897,plain,(
% 0.14/0.36 ~m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_52),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f411,f885])).
% 0.14/0.36 fof(f898,plain,(
% 0.14/0.36 $false|spl0_52),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f897,f383])).
% 0.14/0.36 fof(f899,plain,(
% 0.14/0.36 spl0_52),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f898])).
% 0.14/0.36 fof(f1212,plain,(
% 0.14/0.36 spl0_85 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1213,plain,(
% 0.14/0.36 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_85),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1212])).
% 0.14/0.36 fof(f1380,plain,(
% 0.14/0.36 $false|~spl0_85),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f1213,f168])).
% 0.14/0.36 fof(f1381,plain,(
% 0.14/0.36 ~spl0_85),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f1380])).
% 0.14/0.36 fof(f1551,plain,(
% 0.14/0.36 spl0_119 <=> v3_struct_0(sk0_10)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1552,plain,(
% 0.14/0.36 v3_struct_0(sk0_10)|~spl0_119),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1551])).
% 0.14/0.36 fof(f1568,plain,(
% 0.14/0.36 $false|~spl0_119),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f1552,f200])).
% 0.14/0.36 fof(f1569,plain,(
% 0.14/0.36 ~spl0_119),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f1568])).
% 0.14/0.36 fof(f1729,plain,(
% 0.14/0.36 spl0_142 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v3_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1730,plain,(
% 0.14/0.36 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v3_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0|~spl0_142)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1729])).
% 0.14/0.36 fof(f1732,plain,(
% 0.14/0.36 ![X0]: (v3_struct_0(sk0_0)|~l1_pre_topc(sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v3_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f257,f66])).
% 0.14/0.36 fof(f1733,plain,(
% 0.14/0.36 spl0_2|~spl0_22|spl0_142),
% 0.14/0.36 inference(split_clause,[status(thm)],[f1732,f283,f459,f1729])).
% 0.14/0.36 fof(f1734,plain,(
% 0.14/0.36 spl0_143 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1735,plain,(
% 0.14/0.36 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0|~spl0_143)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1734])).
% 0.14/0.36 fof(f1737,plain,(
% 0.14/0.36 ![X0]: (v3_struct_0(sk0_0)|~l1_pre_topc(sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f266,f66])).
% 0.14/0.36 fof(f1738,plain,(
% 0.14/0.36 spl0_2|~spl0_22|spl0_143),
% 0.14/0.36 inference(split_clause,[status(thm)],[f1737,f283,f459,f1734])).
% 0.14/0.36 fof(f1797,plain,(
% 0.14/0.36 spl0_148 <=> ~m1_subset_1(X0,sk0_4(k1_zfmisc_1(k1_xboole_0)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1798,plain,(
% 0.14/0.36 ![X0]: (~m1_subset_1(X0,sk0_4(k1_zfmisc_1(k1_xboole_0)))|~spl0_148)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1797])).
% 0.14/0.36 fof(f1968,plain,(
% 0.14/0.36 spl0_162 <=> k3_tex_4(sk0_0,sk0_1)=sk0_1),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f1969,plain,(
% 0.14/0.36 k3_tex_4(sk0_0,sk0_1)=sk0_1|~spl0_162),
% 0.14/0.36 inference(component_clause,[status(thm)],[f1968])).
% 0.14/0.36 fof(f1971,plain,(
% 0.14/0.36 ~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|k3_tex_4(sk0_0,sk0_1)=sk0_1|~spl0_142|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f1730,f276])).
% 0.14/0.36 fof(f1972,plain,(
% 0.14/0.36 ~spl0_11|spl0_162|~spl0_142|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f1971,f324,f1968,f1729,f275])).
% 0.14/0.36 fof(f2002,plain,(
% 0.14/0.36 spl0_168 <=> l1_struct_0(sk0_10)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f2004,plain,(
% 0.14/0.36 ~l1_struct_0(sk0_10)|spl0_168),
% 0.14/0.36 inference(component_clause,[status(thm)],[f2002])).
% 0.14/0.36 fof(f2019,plain,(
% 0.14/0.36 $false|spl0_168),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f2004,f199])).
% 0.14/0.36 fof(f2020,plain,(
% 0.14/0.36 spl0_168),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f2019])).
% 0.14/0.36 fof(f2062,plain,(
% 0.14/0.36 $false|~spl0_148),
% 0.14/0.36 inference(resolution,[status(thm)],[f1798,f165])).
% 0.14/0.36 fof(f2063,plain,(
% 0.14/0.36 ~spl0_148),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f2062])).
% 0.14/0.36 fof(f2150,plain,(
% 0.14/0.36 ~v4_pre_topc(sk0_1,sk0_0)|k3_tex_4(sk0_0,sk0_1)=sk0_1|~spl0_143),
% 0.14/0.36 inference(resolution,[status(thm)],[f68,f1735])).
% 0.14/0.36 fof(f2151,plain,(
% 0.14/0.36 ~spl0_1|spl0_162|~spl0_143),
% 0.14/0.36 inference(split_clause,[status(thm)],[f2150,f278,f1968,f1734])).
% 0.14/0.36 fof(f2283,plain,(
% 0.14/0.36 spl0_203 <=> v1_xboole_0(k1_zfmisc_1(sk0_4(k1_zfmisc_1(sk0_5))))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f2284,plain,(
% 0.14/0.36 v1_xboole_0(k1_zfmisc_1(sk0_4(k1_zfmisc_1(sk0_5))))|~spl0_203),
% 0.14/0.36 inference(component_clause,[status(thm)],[f2283])).
% 0.14/0.36 fof(f2311,plain,(
% 0.14/0.36 spl0_209 <=> v1_xboole_0(k1_zfmisc_1(sk0_6(sk0_6(sk0_5))))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f2312,plain,(
% 0.14/0.36 v1_xboole_0(k1_zfmisc_1(sk0_6(sk0_6(sk0_5))))|~spl0_209),
% 0.14/0.36 inference(component_clause,[status(thm)],[f2311])).
% 0.14/0.36 fof(f2329,plain,(
% 0.14/0.36 spl0_213 <=> v1_xboole_0(k1_zfmisc_1(sk0_6(sk0_5)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f2330,plain,(
% 0.14/0.36 v1_xboole_0(k1_zfmisc_1(sk0_6(sk0_5)))|~spl0_213),
% 0.14/0.36 inference(component_clause,[status(thm)],[f2329])).
% 0.14/0.36 fof(f2357,plain,(
% 0.14/0.36 spl0_219 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 0.14/0.59 introduced(split_symbol_definition)).
% 0.14/0.59 fof(f2358,plain,(
% 0.14/0.59 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_219),
% 0.14/0.59 inference(component_clause,[status(thm)],[f2357])).
% 0.14/0.59 fof(f2393,plain,(
% 0.14/0.59 spl0_227 <=> v1_xboole_0(k1_zfmisc_1(sk0_5))),
% 0.14/0.59 introduced(split_symbol_definition)).
% 0.14/0.59 fof(f2394,plain,(
% 0.14/0.59 v1_xboole_0(k1_zfmisc_1(sk0_5))|~spl0_227),
% 0.14/0.59 inference(component_clause,[status(thm)],[f2393])).
% 0.14/0.59 fof(f2481,plain,(
% 0.14/0.59 $false|~spl0_219),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2358,f168])).
% 0.14/0.59 fof(f2482,plain,(
% 0.14/0.59 ~spl0_219),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2481])).
% 0.14/0.59 fof(f2483,plain,(
% 0.14/0.59 $false|~spl0_213),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2330,f168])).
% 0.14/0.59 fof(f2484,plain,(
% 0.14/0.59 ~spl0_213),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2483])).
% 0.14/0.59 fof(f2485,plain,(
% 0.14/0.59 $false|~spl0_227),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2394,f168])).
% 0.14/0.59 fof(f2486,plain,(
% 0.14/0.59 ~spl0_227),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2485])).
% 0.14/0.59 fof(f2487,plain,(
% 0.14/0.59 $false|~spl0_203),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2284,f168])).
% 0.14/0.59 fof(f2488,plain,(
% 0.14/0.59 ~spl0_203),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2487])).
% 0.14/0.59 fof(f2489,plain,(
% 0.14/0.59 $false|~spl0_209),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2312,f168])).
% 0.14/0.59 fof(f2490,plain,(
% 0.14/0.59 ~spl0_209),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2489])).
% 0.14/0.59 fof(f2565,plain,(
% 0.14/0.59 sk0_1=u1_struct_0(sk0_0)|~spl0_162|~spl0_12),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1969,f328])).
% 0.14/0.59 fof(f2570,plain,(
% 0.14/0.59 v1_tex_2(sk0_1,k1_zfmisc_1(sk0_1))|~spl0_162|~spl0_12),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f2565,f71])).
% 0.14/0.59 fof(f2571,plain,(
% 0.14/0.59 $false|~spl0_162|~spl0_12),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2570,f535])).
% 0.14/0.59 fof(f2572,plain,(
% 0.14/0.59 ~spl0_162|~spl0_12),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2571])).
% 0.14/0.59 fof(f2573,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(sat_refutation,[status(thm)],[f281,f293,f295,f297,f331,f333,f465,f467,f595,f867,f899,f1381,f1569,f1733,f1738,f1972,f2020,f2063,f2151,f2482,f2484,f2486,f2488,f2490,f2572])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.59 % Elapsed time: 0.050139 seconds
% 0.14/0.59 % CPU time: 0.082121 seconds
% 0.14/0.59 % Memory used: 9.047 MB
%------------------------------------------------------------------------------