TSTP Solution File: LAT310+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:25:44 EDT 2024
% Result : Theorem 1.94s 0.63s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n019.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 : Mon Apr 29 19:58:44 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 1.94/0.63 % Refutation found
% 1.94/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.94/0.63 % SZS output start CNFRefutation for theBenchmark
% 1.94/0.63 fof(f1,conjecture,(
% 1.94/0.63 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> (! [D] :( ( ~ v1_xboole_0(D)& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )=> ( ( r1_tarski(C,D)=> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D)) )& r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)) ) ) )) )) )) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f2,negated_conjecture,(
% 1.94/0.63 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> (! [D] :( ( ~ v1_xboole_0(D)& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )=> ( ( r1_tarski(C,D)=> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D)) )& r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)) ) ) )) )) )) ))),
% 1.94/0.63 inference(negated_conjecture,[status(cth)],[f1])).
% 1.94/0.63 fof(f7,axiom,(
% 1.94/0.63 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> (! [C] :( m2_filter_2(C,A)=> ( C = k19_filter_2(A,B)<=> ( r1_tarski(B,C)& (! [D] :( m2_filter_2(D,A)=> ( r1_tarski(B,D)=> r1_tarski(C,D) ) ) )) ) ) )) )) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f8,axiom,(
% 1.94/0.63 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> m2_filter_2(k19_filter_2(A,B),A) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f11,axiom,(
% 1.94/0.63 (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f14,axiom,(
% 1.94/0.63 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f16,axiom,(
% 1.94/0.63 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ~ v1_xboole_0(B)& m2_lattice4(B,A) ) ) )) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f17,axiom,(
% 1.94/0.63 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_lattice4(B,A)=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) )) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f23,axiom,(
% 1.94/0.63 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f27,axiom,(
% 1.94/0.63 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f28,axiom,(
% 1.94/0.63 v1_xboole_0(k1_xboole_0) ),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f32,axiom,(
% 1.94/0.63 (! [A] :(? [B] :( m1_subset_1(B,k1_zfmisc_1(A))& v1_xboole_0(B) ) ))),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f34,axiom,(
% 1.94/0.63 (? [A] :( l1_struct_0(A)& ~ v3_struct_0(A) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f36,axiom,(
% 1.94/0.63 (! [A,B] : r1_tarski(A,A) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f38,axiom,(
% 1.94/0.63 (! [A,B,C] :( ( r1_tarski(A,B)& r1_tarski(B,C) )=> r1_tarski(A,C) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f40,axiom,(
% 1.94/0.63 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f45,axiom,(
% 1.94/0.63 (! [A,B] :~ ( v1_xboole_0(A)& A != B& v1_xboole_0(B) ) )),
% 1.94/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.63 fof(f46,plain,(
% 1.94/0.63 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: ((~v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))&(?[C]: ((~v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))&(?[D]: ((~v1_xboole_0(D)&m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))&((r1_tarski(C,D)&~r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D)))|~r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)))))))))))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.94/0.63 fof(f47,plain,(
% 1.94/0.63 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&((~v1_xboole_0(sk0_1)&m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))))&((~v1_xboole_0(sk0_2)&m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))))&((~v1_xboole_0(sk0_3)&m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0))))&((r1_tarski(sk0_2,sk0_3)&~r1_tarski(k19_filter_2(sk0_0,sk0_2),k19_filter_2(sk0_0,sk0_3)))|~r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),k19_filter_2(sk0_0,sk0_1)))))))),
% 1.94/0.63 inference(skolemization,[status(esa)],[f46])).
% 1.94/0.63 fof(f48,plain,(
% 1.94/0.63 ~v3_struct_0(sk0_0)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f49,plain,(
% 1.94/0.63 v10_lattices(sk0_0)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f50,plain,(
% 1.94/0.63 l3_lattices(sk0_0)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f51,plain,(
% 1.94/0.63 ~v1_xboole_0(sk0_1)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f52,plain,(
% 1.94/0.63 m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f53,plain,(
% 1.94/0.63 ~v1_xboole_0(sk0_2)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f54,plain,(
% 1.94/0.63 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f55,plain,(
% 1.94/0.63 ~v1_xboole_0(sk0_3)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f56,plain,(
% 1.94/0.63 m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f57,plain,(
% 1.94/0.63 r1_tarski(sk0_2,sk0_3)|~r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),k19_filter_2(sk0_0,sk0_1))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f58,plain,(
% 1.94/0.63 ~r1_tarski(k19_filter_2(sk0_0,sk0_2),k19_filter_2(sk0_0,sk0_3))|~r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),k19_filter_2(sk0_0,sk0_1))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f74,plain,(
% 1.94/0.63 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(![C]: (~m2_filter_2(C,A)|(C=k19_filter_2(A,B)<=>(r1_tarski(B,C)&(![D]: (~m2_filter_2(D,A)|(~r1_tarski(B,D)|r1_tarski(C,D)))))))))))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.94/0.63 fof(f75,plain,(
% 1.94/0.63 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(![C]: (~m2_filter_2(C,A)|((~C=k19_filter_2(A,B)|(r1_tarski(B,C)&(![D]: (~m2_filter_2(D,A)|(~r1_tarski(B,D)|r1_tarski(C,D))))))&(C=k19_filter_2(A,B)|(~r1_tarski(B,C)|(?[D]: (m2_filter_2(D,A)&(r1_tarski(B,D)&~r1_tarski(C,D))))))))))))),
% 1.94/0.63 inference(NNF_transformation,[status(esa)],[f74])).
% 1.94/0.63 fof(f76,plain,(
% 1.94/0.63 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(![C]: (~m2_filter_2(C,A)|((~C=k19_filter_2(A,B)|(r1_tarski(B,C)&(![D]: (~m2_filter_2(D,A)|(~r1_tarski(B,D)|r1_tarski(C,D))))))&(C=k19_filter_2(A,B)|(~r1_tarski(B,C)|(m2_filter_2(sk0_4(C,B,A),A)&(r1_tarski(B,sk0_4(C,B,A))&~r1_tarski(C,sk0_4(C,B,A))))))))))))),
% 1.94/0.63 inference(skolemization,[status(esa)],[f75])).
% 1.94/0.63 fof(f77,plain,(
% 1.94/0.63 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~m2_filter_2(X2,X0)|~X2=k19_filter_2(X0,X1)|r1_tarski(X1,X2))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f76])).
% 1.94/0.63 fof(f78,plain,(
% 1.94/0.63 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~m2_filter_2(X2,X0)|~X2=k19_filter_2(X0,X1)|~m2_filter_2(X3,X0)|~r1_tarski(X1,X3)|r1_tarski(X2,X3))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f76])).
% 1.94/0.63 fof(f82,plain,(
% 1.94/0.63 ![A,B]: (((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|m2_filter_2(k19_filter_2(A,B),A))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.94/0.63 fof(f83,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|m2_filter_2(k19_filter_2(X0,X1),X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f82])).
% 1.94/0.63 fof(f84,plain,(
% 1.94/0.63 ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 1.94/0.63 fof(f85,plain,(
% 1.94/0.63 ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f84])).
% 1.94/0.63 fof(f88,plain,(
% 1.94/0.63 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 1.94/0.63 fof(f89,plain,(
% 1.94/0.63 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f88])).
% 1.94/0.63 fof(f91,plain,(
% 1.94/0.63 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_filter_2(B,A)|(~v1_xboole_0(B)&m2_lattice4(B,A)))))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 1.94/0.63 fof(f92,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|~v1_xboole_0(X1))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f91])).
% 1.94/0.63 fof(f93,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m2_lattice4(X1,X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f91])).
% 1.94/0.63 fof(f94,plain,(
% 1.94/0.63 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 1.94/0.63 fof(f95,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_lattice4(X1,X0)|m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f94])).
% 1.94/0.63 fof(f104,plain,(
% 1.94/0.63 ![A]: m1_subset_1(sk0_9(A),A)),
% 1.94/0.63 inference(skolemization,[status(esa)],[f23])).
% 1.94/0.63 fof(f105,plain,(
% 1.94/0.63 ![X0]: (m1_subset_1(sk0_9(X0),X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f104])).
% 1.94/0.63 fof(f114,plain,(
% 1.94/0.63 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f27])).
% 1.94/0.63 fof(f115,plain,(
% 1.94/0.63 v1_xboole_0(k1_xboole_0)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f28])).
% 1.94/0.63 fof(f126,plain,(
% 1.94/0.63 ![A]: (m1_subset_1(sk0_15(A),k1_zfmisc_1(A))&v1_xboole_0(sk0_15(A)))),
% 1.94/0.63 inference(skolemization,[status(esa)],[f32])).
% 1.94/0.63 fof(f127,plain,(
% 1.94/0.63 ![X0]: (m1_subset_1(sk0_15(X0),k1_zfmisc_1(X0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f126])).
% 1.94/0.63 fof(f128,plain,(
% 1.94/0.63 ![X0]: (v1_xboole_0(sk0_15(X0)))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f126])).
% 1.94/0.63 fof(f131,plain,(
% 1.94/0.63 (l1_struct_0(sk0_17)&~v3_struct_0(sk0_17))),
% 1.94/0.63 inference(skolemization,[status(esa)],[f34])).
% 1.94/0.63 fof(f133,plain,(
% 1.94/0.63 ~v3_struct_0(sk0_17)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f131])).
% 1.94/0.63 fof(f138,plain,(
% 1.94/0.63 ![A]: r1_tarski(A,A)),
% 1.94/0.63 inference(miniscoping,[status(esa)],[f36])).
% 1.94/0.63 fof(f139,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(X0,X0))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f138])).
% 1.94/0.63 fof(f142,plain,(
% 1.94/0.63 ![A,B,C]: ((~r1_tarski(A,B)|~r1_tarski(B,C))|r1_tarski(A,C))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 1.94/0.63 fof(f143,plain,(
% 1.94/0.63 ![A,C]: ((![B]: (~r1_tarski(A,B)|~r1_tarski(B,C)))|r1_tarski(A,C))),
% 1.94/0.63 inference(miniscoping,[status(esa)],[f142])).
% 1.94/0.63 fof(f144,plain,(
% 1.94/0.63 ![X0,X1,X2]: (~r1_tarski(X0,X1)|~r1_tarski(X1,X2)|r1_tarski(X0,X2))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f143])).
% 1.94/0.63 fof(f147,plain,(
% 1.94/0.63 ![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)))),
% 1.94/0.63 inference(NNF_transformation,[status(esa)],[f40])).
% 1.94/0.63 fof(f148,plain,(
% 1.94/0.63 (![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)))),
% 1.94/0.63 inference(miniscoping,[status(esa)],[f147])).
% 1.94/0.63 fof(f149,plain,(
% 1.94/0.63 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|r1_tarski(X0,X1))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f148])).
% 1.94/0.63 fof(f162,plain,(
% 1.94/0.63 ![A,B]: ((~v1_xboole_0(A)|A=B)|~v1_xboole_0(B))),
% 1.94/0.63 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 1.94/0.63 fof(f163,plain,(
% 1.94/0.63 ![B]: ((![A]: (~v1_xboole_0(A)|A=B))|~v1_xboole_0(B))),
% 1.94/0.63 inference(miniscoping,[status(esa)],[f162])).
% 1.94/0.63 fof(f164,plain,(
% 1.94/0.63 ![X0,X1]: (~v1_xboole_0(X0)|X0=X1|~v1_xboole_0(X1))),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f163])).
% 1.94/0.63 fof(f165,plain,(
% 1.94/0.63 spl0_0 <=> r1_tarski(sk0_2,sk0_3)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f166,plain,(
% 1.94/0.63 r1_tarski(sk0_2,sk0_3)|~spl0_0),
% 1.94/0.63 inference(component_clause,[status(thm)],[f165])).
% 1.94/0.63 fof(f168,plain,(
% 1.94/0.63 spl0_1 <=> r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),k19_filter_2(sk0_0,sk0_1))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f171,plain,(
% 1.94/0.63 spl0_0|~spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f57,f165,f168])).
% 1.94/0.63 fof(f172,plain,(
% 1.94/0.63 spl0_2 <=> r1_tarski(k19_filter_2(sk0_0,sk0_2),k19_filter_2(sk0_0,sk0_3))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f175,plain,(
% 1.94/0.63 ~spl0_2|~spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f58,f172,f168])).
% 1.94/0.63 fof(f207,plain,(
% 1.94/0.63 spl0_6 <=> v3_struct_0(sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f208,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~spl0_6),
% 1.94/0.63 inference(component_clause,[status(thm)],[f207])).
% 1.94/0.63 fof(f210,plain,(
% 1.94/0.63 spl0_7 <=> v10_lattices(sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f212,plain,(
% 1.94/0.63 ~v10_lattices(sk0_0)|spl0_7),
% 1.94/0.63 inference(component_clause,[status(thm)],[f210])).
% 1.94/0.63 fof(f218,plain,(
% 1.94/0.63 $false|spl0_7),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f212,f49])).
% 1.94/0.63 fof(f219,plain,(
% 1.94/0.63 spl0_7),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f218])).
% 1.94/0.63 fof(f220,plain,(
% 1.94/0.63 $false|~spl0_6),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f208,f48])).
% 1.94/0.63 fof(f221,plain,(
% 1.94/0.63 ~spl0_6),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f220])).
% 1.94/0.63 fof(f223,plain,(
% 1.94/0.63 ![X0,X1]: (~v1_xboole_0(X0)|X0=sk0_15(X1))),
% 1.94/0.63 inference(resolution,[status(thm)],[f128,f164])).
% 1.94/0.63 fof(f225,plain,(
% 1.94/0.63 ![X0]: (k1_xboole_0=sk0_15(X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f223,f115])).
% 1.94/0.63 fof(f229,plain,(
% 1.94/0.63 ![X0]: (m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)))),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f225,f127])).
% 1.94/0.63 fof(f238,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(k1_xboole_0,X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f229,f149])).
% 1.94/0.63 fof(f242,plain,(
% 1.94/0.63 ![X0,X1]: (~r1_tarski(X0,k1_xboole_0)|r1_tarski(X0,X1))),
% 1.94/0.63 inference(resolution,[status(thm)],[f238,f144])).
% 1.94/0.63 fof(f249,plain,(
% 1.94/0.63 l1_lattices(sk0_0)),
% 1.94/0.63 inference(resolution,[status(thm)],[f89,f50])).
% 1.94/0.63 fof(f250,plain,(
% 1.94/0.63 l1_struct_0(sk0_0)),
% 1.94/0.63 inference(resolution,[status(thm)],[f249,f85])).
% 1.94/0.63 fof(f276,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(sk0_9(k1_zfmisc_1(X0)),X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f105,f149])).
% 1.94/0.63 fof(f277,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(sk0_9(k1_zfmisc_1(k1_xboole_0)),X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f276,f242])).
% 1.94/0.63 fof(f281,plain,(
% 1.94/0.63 ![X0,X1]: (~r1_tarski(X0,sk0_9(k1_zfmisc_1(X1)))|r1_tarski(X0,X1))),
% 1.94/0.63 inference(resolution,[status(thm)],[f276,f144])).
% 1.94/0.63 fof(f287,plain,(
% 1.94/0.63 ![X0,X1]: (~r1_tarski(X0,sk0_9(k1_zfmisc_1(k1_xboole_0)))|r1_tarski(X0,X1))),
% 1.94/0.63 inference(resolution,[status(thm)],[f277,f144])).
% 1.94/0.63 fof(f297,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(X0)))),X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f281,f276])).
% 1.94/0.63 fof(f301,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))),X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f297,f242])).
% 1.94/0.63 fof(f307,plain,(
% 1.94/0.63 ![X0]: (r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))))),X0))),
% 1.94/0.63 inference(resolution,[status(thm)],[f287,f297])).
% 1.94/0.63 fof(f582,plain,(
% 1.94/0.63 spl0_33 <=> v1_xboole_0(sk0_3)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f583,plain,(
% 1.94/0.63 v1_xboole_0(sk0_3)|~spl0_33),
% 1.94/0.63 inference(component_clause,[status(thm)],[f582])).
% 1.94/0.63 fof(f590,plain,(
% 1.94/0.63 spl0_35 <=> v1_xboole_0(sk0_2)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f591,plain,(
% 1.94/0.63 v1_xboole_0(sk0_2)|~spl0_35),
% 1.94/0.63 inference(component_clause,[status(thm)],[f590])).
% 1.94/0.63 fof(f598,plain,(
% 1.94/0.63 spl0_37 <=> v1_xboole_0(sk0_1)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f599,plain,(
% 1.94/0.63 v1_xboole_0(sk0_1)|~spl0_37),
% 1.94/0.63 inference(component_clause,[status(thm)],[f598])).
% 1.94/0.63 fof(f608,plain,(
% 1.94/0.63 $false|~spl0_37),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f599,f51])).
% 1.94/0.63 fof(f609,plain,(
% 1.94/0.63 ~spl0_37),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f608])).
% 1.94/0.63 fof(f610,plain,(
% 1.94/0.63 $false|~spl0_35),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f591,f53])).
% 1.94/0.63 fof(f611,plain,(
% 1.94/0.63 ~spl0_35),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f610])).
% 1.94/0.63 fof(f612,plain,(
% 1.94/0.63 $false|~spl0_33),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f583,f55])).
% 1.94/0.63 fof(f613,plain,(
% 1.94/0.63 ~spl0_33),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f612])).
% 1.94/0.63 fof(f1037,plain,(
% 1.94/0.63 spl0_85 <=> l3_lattices(sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1039,plain,(
% 1.94/0.63 ~l3_lattices(sk0_0)|spl0_85),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1037])).
% 1.94/0.63 fof(f1052,plain,(
% 1.94/0.63 $false|spl0_85),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1039,f50])).
% 1.94/0.63 fof(f1053,plain,(
% 1.94/0.63 spl0_85),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1052])).
% 1.94/0.63 fof(f1080,plain,(
% 1.94/0.63 spl0_92 <=> v3_struct_0(sk0_17)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1081,plain,(
% 1.94/0.63 v3_struct_0(sk0_17)|~spl0_92),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1080])).
% 1.94/0.63 fof(f1096,plain,(
% 1.94/0.63 $false|~spl0_92),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1081,f133])).
% 1.94/0.63 fof(f1097,plain,(
% 1.94/0.63 ~spl0_92),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1096])).
% 1.94/0.63 fof(f1159,plain,(
% 1.94/0.63 spl0_106 <=> m2_filter_2(k19_filter_2(sk0_0,sk0_3),sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1160,plain,(
% 1.94/0.63 m2_filter_2(k19_filter_2(sk0_0,sk0_3),sk0_0)|~spl0_106),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1159])).
% 1.94/0.63 fof(f1162,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(sk0_3)|m2_filter_2(k19_filter_2(sk0_0,sk0_3),sk0_0)),
% 1.94/0.63 inference(resolution,[status(thm)],[f83,f56])).
% 1.94/0.63 fof(f1163,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|spl0_33|spl0_106),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1162,f207,f210,f1037,f582,f1159])).
% 1.94/0.63 fof(f1169,plain,(
% 1.94/0.63 spl0_108 <=> m2_filter_2(k19_filter_2(sk0_0,sk0_1),sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1170,plain,(
% 1.94/0.63 m2_filter_2(k19_filter_2(sk0_0,sk0_1),sk0_0)|~spl0_108),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1169])).
% 1.94/0.63 fof(f1172,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(sk0_1)|m2_filter_2(k19_filter_2(sk0_0,sk0_1),sk0_0)),
% 1.94/0.63 inference(resolution,[status(thm)],[f83,f52])).
% 1.94/0.63 fof(f1173,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|spl0_37|spl0_108),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1172,f207,f210,f1037,f598,f1169])).
% 1.94/0.63 fof(f1334,plain,(
% 1.94/0.63 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~m2_filter_2(k19_filter_2(X0,X1),X0)|~m2_filter_2(X2,X0)|~r1_tarski(X1,X2)|r1_tarski(k19_filter_2(X0,X1),X2))),
% 1.94/0.63 inference(equality_resolution,[status(esa)],[f78])).
% 1.94/0.63 fof(f1335,plain,(
% 1.94/0.63 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~m2_filter_2(X2,X0)|~r1_tarski(X1,X2)|r1_tarski(k19_filter_2(X0,X1),X2))),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1334,f83])).
% 1.94/0.63 fof(f1336,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~m2_filter_2(k19_filter_2(X0,X1),X0)|r1_tarski(X1,k19_filter_2(X0,X1)))),
% 1.94/0.63 inference(equality_resolution,[status(esa)],[f77])).
% 1.94/0.63 fof(f1337,plain,(
% 1.94/0.63 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|r1_tarski(X1,k19_filter_2(X0,X1)))),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1336,f83])).
% 1.94/0.63 fof(f1358,plain,(
% 1.94/0.63 spl0_139 <=> v1_xboole_0(k19_filter_2(sk0_0,sk0_1))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1361,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~v1_xboole_0(k19_filter_2(sk0_0,sk0_1))|~spl0_108),
% 1.94/0.63 inference(resolution,[status(thm)],[f1170,f92])).
% 1.94/0.63 fof(f1362,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|~spl0_139|~spl0_108),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1361,f207,f210,f1037,f1358,f1169])).
% 1.94/0.63 fof(f1363,plain,(
% 1.94/0.63 spl0_140 <=> m2_lattice4(k19_filter_2(sk0_0,sk0_1),sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1364,plain,(
% 1.94/0.63 m2_lattice4(k19_filter_2(sk0_0,sk0_1),sk0_0)|~spl0_140),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1363])).
% 1.94/0.63 fof(f1366,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_lattice4(k19_filter_2(sk0_0,sk0_1),sk0_0)|~spl0_108),
% 1.94/0.63 inference(resolution,[status(thm)],[f1170,f93])).
% 1.94/0.63 fof(f1367,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|spl0_140|~spl0_108),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1366,f207,f210,f1037,f1363,f1169])).
% 1.94/0.63 fof(f1388,plain,(
% 1.94/0.63 spl0_145 <=> m1_subset_1(k19_filter_2(sk0_0,sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1389,plain,(
% 1.94/0.63 m1_subset_1(k19_filter_2(sk0_0,sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_145),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1388])).
% 1.94/0.63 fof(f1391,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m1_subset_1(k19_filter_2(sk0_0,sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_140),
% 1.94/0.63 inference(resolution,[status(thm)],[f1364,f95])).
% 1.94/0.63 fof(f1392,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|spl0_145|~spl0_140),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1391,f207,f210,f1037,f1388,f1363])).
% 1.94/0.63 fof(f1634,plain,(
% 1.94/0.63 spl0_184 <=> l1_struct_0(sk0_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1636,plain,(
% 1.94/0.63 ~l1_struct_0(sk0_0)|spl0_184),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1634])).
% 1.94/0.63 fof(f1648,plain,(
% 1.94/0.63 $false|spl0_184),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1636,f250])).
% 1.94/0.63 fof(f1649,plain,(
% 1.94/0.63 spl0_184),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1648])).
% 1.94/0.63 fof(f1731,plain,(
% 1.94/0.63 spl0_195 <=> r1_tarski(sk0_3,k19_filter_2(sk0_0,sk0_3))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1732,plain,(
% 1.94/0.63 r1_tarski(sk0_3,k19_filter_2(sk0_0,sk0_3))|~spl0_195),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1731])).
% 1.94/0.63 fof(f1772,plain,(
% 1.94/0.63 spl0_206 <=> r1_tarski(sk0_2,k19_filter_2(sk0_0,sk0_3))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1774,plain,(
% 1.94/0.63 ~r1_tarski(sk0_2,k19_filter_2(sk0_0,sk0_3))|spl0_206),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1772])).
% 1.94/0.63 fof(f1936,plain,(
% 1.94/0.63 spl0_225 <=> v1_xboole_0(k1_zfmisc_1(sk0_1))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1937,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(sk0_1))|~spl0_225),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1936])).
% 1.94/0.63 fof(f1950,plain,(
% 1.94/0.63 $false|~spl0_225),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1937,f114])).
% 1.94/0.63 fof(f1951,plain,(
% 1.94/0.63 ~spl0_225),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1950])).
% 1.94/0.63 fof(f1962,plain,(
% 1.94/0.63 spl0_228 <=> v1_xboole_0(k1_zfmisc_1(sk0_2))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1963,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(sk0_2))|~spl0_228),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1962])).
% 1.94/0.63 fof(f1976,plain,(
% 1.94/0.63 $false|~spl0_228),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1963,f114])).
% 1.94/0.63 fof(f1977,plain,(
% 1.94/0.63 ~spl0_228),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1976])).
% 1.94/0.63 fof(f1988,plain,(
% 1.94/0.63 spl0_231 <=> v1_xboole_0(k1_zfmisc_1(sk0_3))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1989,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(sk0_3))|~spl0_231),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1988])).
% 1.94/0.63 fof(f2002,plain,(
% 1.94/0.63 $false|~spl0_231),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1989,f114])).
% 1.94/0.63 fof(f2003,plain,(
% 1.94/0.63 ~spl0_231),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2002])).
% 1.94/0.63 fof(f2192,plain,(
% 1.94/0.63 spl0_268 <=> r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))))),k1_xboole_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2194,plain,(
% 1.94/0.63 ~r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))))),k1_xboole_0)|spl0_268),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2192])).
% 1.94/0.63 fof(f2201,plain,(
% 1.94/0.63 spl0_270 <=> r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))),k1_xboole_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2203,plain,(
% 1.94/0.63 ~r1_tarski(sk0_9(k1_zfmisc_1(sk0_9(k1_zfmisc_1(k1_xboole_0)))),k1_xboole_0)|spl0_270),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2201])).
% 1.94/0.63 fof(f2210,plain,(
% 1.94/0.63 spl0_272 <=> r1_tarski(sk0_9(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2212,plain,(
% 1.94/0.63 ~r1_tarski(sk0_9(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0)|spl0_272),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2210])).
% 1.94/0.63 fof(f2219,plain,(
% 1.94/0.63 spl0_274 <=> r1_tarski(k1_xboole_0,k1_xboole_0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2221,plain,(
% 1.94/0.63 ~r1_tarski(k1_xboole_0,k1_xboole_0)|spl0_274),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2219])).
% 1.94/0.63 fof(f2249,plain,(
% 1.94/0.63 $false|spl0_274),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2221,f238])).
% 1.94/0.63 fof(f2250,plain,(
% 1.94/0.63 spl0_274),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2249])).
% 1.94/0.63 fof(f2251,plain,(
% 1.94/0.63 $false|spl0_272),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2212,f277])).
% 1.94/0.63 fof(f2252,plain,(
% 1.94/0.63 spl0_272),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2251])).
% 1.94/0.63 fof(f2253,plain,(
% 1.94/0.63 $false|spl0_270),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2203,f301])).
% 1.94/0.63 fof(f2254,plain,(
% 1.94/0.63 spl0_270),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2253])).
% 1.94/0.63 fof(f2255,plain,(
% 1.94/0.63 $false|spl0_268),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2194,f307])).
% 1.94/0.63 fof(f2256,plain,(
% 1.94/0.63 spl0_268),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2255])).
% 1.94/0.63 fof(f2388,plain,(
% 1.94/0.63 spl0_281 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2389,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_281),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2388])).
% 1.94/0.63 fof(f2402,plain,(
% 1.94/0.63 $false|~spl0_281),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2389,f114])).
% 1.94/0.63 fof(f2403,plain,(
% 1.94/0.63 ~spl0_281),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2402])).
% 1.94/0.63 fof(f2719,plain,(
% 1.94/0.63 spl0_324 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_17)))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2720,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_17)))|~spl0_324),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2719])).
% 1.94/0.63 fof(f2727,plain,(
% 1.94/0.63 $false|~spl0_324),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2720,f114])).
% 1.94/0.63 fof(f2728,plain,(
% 1.94/0.63 ~spl0_324),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2727])).
% 1.94/0.63 fof(f2915,plain,(
% 1.94/0.63 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(sk0_3)|r1_tarski(sk0_3,k19_filter_2(sk0_0,sk0_3))),
% 1.94/0.63 inference(resolution,[status(thm)],[f1337,f56])).
% 1.94/0.63 fof(f2916,plain,(
% 1.94/0.63 spl0_6|~spl0_7|~spl0_85|spl0_33|spl0_195),
% 1.94/0.63 inference(split_clause,[status(thm)],[f2915,f207,f210,f1037,f582,f1731])).
% 1.94/0.63 fof(f2923,plain,(
% 1.94/0.63 ![X0]: (~r1_tarski(X0,sk0_3)|r1_tarski(X0,k19_filter_2(sk0_0,sk0_3))|~spl0_195)),
% 1.94/0.63 inference(resolution,[status(thm)],[f1732,f144])).
% 1.94/0.63 fof(f2935,plain,(
% 1.94/0.63 spl0_354 <=> v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_3)))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2936,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_3)))|~spl0_354),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2935])).
% 1.94/0.63 fof(f2943,plain,(
% 1.94/0.63 $false|~spl0_354),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2936,f114])).
% 1.94/0.63 fof(f2944,plain,(
% 1.94/0.63 ~spl0_354),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2943])).
% 1.94/0.63 fof(f2949,plain,(
% 1.94/0.63 spl0_356 <=> v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_2)))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2950,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_2)))|~spl0_356),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2949])).
% 1.94/0.63 fof(f2957,plain,(
% 1.94/0.63 $false|~spl0_356),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2950,f114])).
% 1.94/0.63 fof(f2958,plain,(
% 1.94/0.63 ~spl0_356),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2957])).
% 1.94/0.63 fof(f2963,plain,(
% 1.94/0.63 spl0_358 <=> v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_1)))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f2964,plain,(
% 1.94/0.63 v1_xboole_0(k1_zfmisc_1(k19_filter_2(sk0_0,sk0_1)))|~spl0_358),
% 1.94/0.63 inference(component_clause,[status(thm)],[f2963])).
% 1.94/0.63 fof(f2971,plain,(
% 1.94/0.63 $false|~spl0_358),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2964,f114])).
% 1.94/0.63 fof(f2972,plain,(
% 1.94/0.63 ~spl0_358),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2971])).
% 1.94/0.63 fof(f3188,plain,(
% 1.94/0.63 spl0_388 <=> ~m2_filter_2(X0,sk0_0)|~r1_tarski(k19_filter_2(sk0_0,sk0_1),X0)|r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),X0)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f3189,plain,(
% 1.94/0.63 ![X0]: (~m2_filter_2(X0,sk0_0)|~r1_tarski(k19_filter_2(sk0_0,sk0_1),X0)|r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),X0)|~spl0_388)),
% 1.94/0.64 inference(component_clause,[status(thm)],[f3188])).
% 1.94/0.64 fof(f3191,plain,(
% 1.94/0.64 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(k19_filter_2(sk0_0,sk0_1))|~m2_filter_2(X0,sk0_0)|~r1_tarski(k19_filter_2(sk0_0,sk0_1),X0)|r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),X0)|~spl0_145)),
% 1.94/0.64 inference(resolution,[status(thm)],[f1335,f1389])).
% 1.94/0.64 fof(f3192,plain,(
% 1.94/0.64 spl0_6|~spl0_7|~spl0_85|spl0_139|spl0_388|~spl0_145),
% 1.94/0.64 inference(split_clause,[status(thm)],[f3191,f207,f210,f1037,f1358,f3188,f1388])).
% 1.94/0.64 fof(f3240,plain,(
% 1.94/0.64 spl0_396 <=> ~m2_filter_2(X0,sk0_0)|~r1_tarski(sk0_2,X0)|r1_tarski(k19_filter_2(sk0_0,sk0_2),X0)),
% 1.94/0.64 introduced(split_symbol_definition)).
% 1.94/0.64 fof(f3241,plain,(
% 1.94/0.64 ![X0]: (~m2_filter_2(X0,sk0_0)|~r1_tarski(sk0_2,X0)|r1_tarski(k19_filter_2(sk0_0,sk0_2),X0)|~spl0_396)),
% 1.94/0.64 inference(component_clause,[status(thm)],[f3240])).
% 1.94/0.64 fof(f3243,plain,(
% 1.94/0.64 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(sk0_2)|~m2_filter_2(X0,sk0_0)|~r1_tarski(sk0_2,X0)|r1_tarski(k19_filter_2(sk0_0,sk0_2),X0))),
% 1.94/0.64 inference(resolution,[status(thm)],[f1335,f54])).
% 1.94/0.64 fof(f3244,plain,(
% 1.94/0.64 spl0_6|~spl0_7|~spl0_85|spl0_35|spl0_396),
% 1.94/0.64 inference(split_clause,[status(thm)],[f3243,f207,f210,f1037,f590,f3240])).
% 1.94/0.64 fof(f3286,plain,(
% 1.94/0.64 ~r1_tarski(sk0_2,k19_filter_2(sk0_0,sk0_3))|r1_tarski(k19_filter_2(sk0_0,sk0_2),k19_filter_2(sk0_0,sk0_3))|~spl0_396|~spl0_106),
% 1.94/0.64 inference(resolution,[status(thm)],[f3241,f1160])).
% 1.94/0.64 fof(f3287,plain,(
% 1.94/0.64 ~spl0_206|spl0_2|~spl0_396|~spl0_106),
% 1.94/0.64 inference(split_clause,[status(thm)],[f3286,f1772,f172,f3240,f1159])).
% 1.94/0.64 fof(f3357,plain,(
% 1.94/0.64 ~m2_filter_2(k19_filter_2(sk0_0,sk0_1),sk0_0)|r1_tarski(k19_filter_2(sk0_0,k19_filter_2(sk0_0,sk0_1)),k19_filter_2(sk0_0,sk0_1))|~spl0_388),
% 1.94/0.64 inference(resolution,[status(thm)],[f3189,f139])).
% 1.94/0.64 fof(f3358,plain,(
% 1.94/0.64 ~spl0_108|spl0_1|~spl0_388),
% 1.94/0.64 inference(split_clause,[status(thm)],[f3357,f1169,f168,f3188])).
% 1.94/0.64 fof(f3359,plain,(
% 1.94/0.64 r1_tarski(sk0_2,k19_filter_2(sk0_0,sk0_3))|~spl0_0|~spl0_195),
% 1.94/0.64 inference(resolution,[status(thm)],[f166,f2923])).
% 1.94/0.64 fof(f3360,plain,(
% 1.94/0.64 $false|spl0_206|~spl0_0|~spl0_195),
% 1.94/0.64 inference(forward_subsumption_resolution,[status(thm)],[f3359,f1774])).
% 1.94/0.64 fof(f3361,plain,(
% 1.94/0.64 spl0_206|~spl0_0|~spl0_195),
% 1.94/0.64 inference(contradiction_clause,[status(thm)],[f3360])).
% 1.94/0.64 fof(f3362,plain,(
% 1.94/0.64 $false),
% 1.94/0.64 inference(sat_refutation,[status(thm)],[f171,f175,f219,f221,f609,f611,f613,f1053,f1097,f1163,f1173,f1362,f1367,f1392,f1649,f1951,f1977,f2003,f2250,f2252,f2254,f2256,f2403,f2728,f2916,f2944,f2958,f2972,f3192,f3244,f3287,f3358,f3361])).
% 1.94/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 2.27/0.66 % Elapsed time: 0.305575 seconds
% 2.27/0.66 % CPU time: 2.281830 seconds
% 2.27/0.66 % Total memory used: 71.254 MB
% 2.27/0.66 % Net memory used: 70.370 MB
%------------------------------------------------------------------------------