TSTP Solution File: LAT291+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:25:39 EDT 2024

% Result   : Theorem 2.43s 0.70s
% Output   : CNFRefutation 2.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 19:55:04 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 2.43/0.70  % Refutation found
% 2.43/0.70  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.43/0.70  % SZS output start CNFRefutation for theBenchmark
% 2.43/0.70  fof(f1,conjecture,(
% 2.43/0.70    (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A)) = k7_lopclset(A) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f2,negated_conjecture,(
% 2.43/0.70    ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A)) = k7_lopclset(A) ) ))),
% 2.43/0.70    inference(negated_conjecture,[status(cth)],[f1])).
% 2.43/0.70  fof(f40,axiom,(
% 2.43/0.70    (! [A] :( ( ~ v3_struct_0(A)& l1_lattices(A) )=> m1_subset_1(k5_lattices(A),u1_struct_0(A)) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f47,axiom,(
% 2.43/0.70    (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f50,axiom,(
% 2.43/0.70    (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f56,axiom,(
% 2.43/0.70    (? [A] : l1_lattices(A) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f59,axiom,(
% 2.43/0.70    (? [A] : l3_lattices(A) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f62,axiom,(
% 2.43/0.70    (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f66,axiom,(
% 2.43/0.70    (! [A] :( ~ v1_xboole_0(k1_zfmisc_1(A))& v1_finsub_1(k1_zfmisc_1(A))& v3_finsub_1(k1_zfmisc_1(A))& v4_finsub_1(k1_zfmisc_1(A)) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f74,axiom,(
% 2.43/0.70    ( v1_xboole_0(k1_xboole_0)& v1_membered(k1_xboole_0)& v2_membered(k1_xboole_0)& v3_membered(k1_xboole_0)& v4_membered(k1_xboole_0)& v5_membered(k1_xboole_0) ) ),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f78,axiom,(
% 2.43/0.70    (? [A] :( l3_lattices(A)& ~ v3_struct_0(A)& v4_lattices(A)& v5_lattices(A)& v6_lattices(A)& v7_lattices(A)& v8_lattices(A)& v9_lattices(A)& v10_lattices(A)& v11_lattices(A)& v12_lattices(A)& v13_lattices(A)& v14_lattices(A)& v15_lattices(A)& v16_lattices(A)& v17_lattices(A)& ~ v3_realset2(A) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f88,axiom,(
% 2.43/0.70    (! [A,B] : r1_tarski(A,A) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f90,axiom,(
% 2.43/0.70    (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)) = k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) ) )) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f93,axiom,(
% 2.43/0.70    (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A)) = k1_xboole_0 ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f94,axiom,(
% 2.43/0.70    (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& l3_lattices(A) )=> k7_lattices(A,k5_lattices(A)) = k6_lattices(A) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f95,axiom,(
% 2.43/0.70    (! [A] : k4_xboole_0(A,k1_xboole_0) = A )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f96,axiom,(
% 2.43/0.70    (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 2.43/0.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.43/0.70  fof(f103,plain,(
% 2.43/0.70    (?[A]: (((((~v3_struct_0(A)&v10_lattices(A))&v17_lattices(A))&~v3_realset2(A))&l3_lattices(A))&~k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A))=k7_lopclset(A)))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.43/0.70  fof(f104,plain,(
% 2.43/0.70    (((((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&v17_lattices(sk0_0))&~v3_realset2(sk0_0))&l3_lattices(sk0_0))&~k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k6_lattices(sk0_0))=k7_lopclset(sk0_0))),
% 2.43/0.70    inference(skolemization,[status(esa)],[f103])).
% 2.43/0.70  fof(f105,plain,(
% 2.43/0.70    ~v3_struct_0(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f106,plain,(
% 2.43/0.70    v10_lattices(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f107,plain,(
% 2.43/0.70    v17_lattices(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f108,plain,(
% 2.43/0.70    ~v3_realset2(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f109,plain,(
% 2.43/0.70    l3_lattices(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f110,plain,(
% 2.43/0.70    ~k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k6_lattices(sk0_0))=k7_lopclset(sk0_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f104])).
% 2.43/0.70  fof(f232,plain,(
% 2.43/0.70    ![A]: ((v3_struct_0(A)|~l1_lattices(A))|m1_subset_1(k5_lattices(A),u1_struct_0(A)))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f40])).
% 2.43/0.70  fof(f233,plain,(
% 2.43/0.70    ![X0]: (v3_struct_0(X0)|~l1_lattices(X0)|m1_subset_1(k5_lattices(X0),u1_struct_0(X0)))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f232])).
% 2.43/0.70  fof(f249,plain,(
% 2.43/0.70    ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f47])).
% 2.43/0.70  fof(f250,plain,(
% 2.43/0.70    ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f249])).
% 2.43/0.70  fof(f253,plain,(
% 2.43/0.70    ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f50])).
% 2.43/0.70  fof(f254,plain,(
% 2.43/0.70    ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f253])).
% 2.43/0.70  fof(f261,plain,(
% 2.43/0.70    l1_lattices(sk0_1)),
% 2.43/0.70    inference(skolemization,[status(esa)],[f56])).
% 2.43/0.70  fof(f262,plain,(
% 2.43/0.70    l1_lattices(sk0_1)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f261])).
% 2.43/0.70  fof(f267,plain,(
% 2.43/0.70    l3_lattices(sk0_4)),
% 2.43/0.70    inference(skolemization,[status(esa)],[f59])).
% 2.43/0.70  fof(f268,plain,(
% 2.43/0.70    l3_lattices(sk0_4)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f267])).
% 2.43/0.70  fof(f274,plain,(
% 2.43/0.70    ![A]: m1_subset_1(sk0_7(A),A)),
% 2.43/0.70    inference(skolemization,[status(esa)],[f62])).
% 2.43/0.70  fof(f275,plain,(
% 2.43/0.70    ![X0]: (m1_subset_1(sk0_7(X0),X0))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f274])).
% 2.43/0.70  fof(f283,plain,(
% 2.43/0.70    (((![A]: ~v1_xboole_0(k1_zfmisc_1(A)))&(![A]: v1_finsub_1(k1_zfmisc_1(A))))&(![A]: v3_finsub_1(k1_zfmisc_1(A))))&(![A]: v4_finsub_1(k1_zfmisc_1(A)))),
% 2.43/0.70    inference(miniscoping,[status(esa)],[f66])).
% 2.43/0.70  fof(f284,plain,(
% 2.43/0.70    ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f283])).
% 2.43/0.70  fof(f319,plain,(
% 2.43/0.70    v2_membered(k1_xboole_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f74])).
% 2.43/0.70  fof(f320,plain,(
% 2.43/0.70    v3_membered(k1_xboole_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f74])).
% 2.43/0.70  fof(f321,plain,(
% 2.43/0.70    v4_membered(k1_xboole_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f74])).
% 2.43/0.70  fof(f322,plain,(
% 2.43/0.70    v5_membered(k1_xboole_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f74])).
% 2.43/0.70  fof(f339,plain,(
% 2.43/0.70    ((((((((((((((((l3_lattices(sk0_12)&~v3_struct_0(sk0_12))&v4_lattices(sk0_12))&v5_lattices(sk0_12))&v6_lattices(sk0_12))&v7_lattices(sk0_12))&v8_lattices(sk0_12))&v9_lattices(sk0_12))&v10_lattices(sk0_12))&v11_lattices(sk0_12))&v12_lattices(sk0_12))&v13_lattices(sk0_12))&v14_lattices(sk0_12))&v15_lattices(sk0_12))&v16_lattices(sk0_12))&v17_lattices(sk0_12))&~v3_realset2(sk0_12))),
% 2.43/0.70    inference(skolemization,[status(esa)],[f78])).
% 2.43/0.70  fof(f342,plain,(
% 2.43/0.70    v4_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f343,plain,(
% 2.43/0.70    v5_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f344,plain,(
% 2.43/0.70    v6_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f345,plain,(
% 2.43/0.70    v7_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f346,plain,(
% 2.43/0.70    v8_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f347,plain,(
% 2.43/0.70    v9_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f349,plain,(
% 2.43/0.70    v11_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f353,plain,(
% 2.43/0.70    v15_lattices(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f356,plain,(
% 2.43/0.70    ~v3_realset2(sk0_12)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f339])).
% 2.43/0.70  fof(f393,plain,(
% 2.43/0.70    ![A]: r1_tarski(A,A)),
% 2.43/0.70    inference(miniscoping,[status(esa)],[f88])).
% 2.43/0.70  fof(f394,plain,(
% 2.43/0.70    ![X0]: (r1_tarski(X0,X0))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f393])).
% 2.43/0.70  fof(f397,plain,(
% 2.43/0.70    ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))=k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)))))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f90])).
% 2.43/0.70  fof(f398,plain,(
% 2.43/0.70    ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))=k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f397])).
% 2.43/0.70  fof(f406,plain,(
% 2.43/0.70    ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A))=k1_xboole_0)),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f93])).
% 2.43/0.70  fof(f407,plain,(
% 2.43/0.70    ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))=k1_xboole_0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f406])).
% 2.43/0.70  fof(f408,plain,(
% 2.43/0.70    ![A]: ((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|~l3_lattices(A))|k7_lattices(A,k5_lattices(A))=k6_lattices(A))),
% 2.43/0.70    inference(pre_NNF_transformation,[status(esa)],[f94])).
% 2.43/0.70  fof(f409,plain,(
% 2.43/0.70    ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|~l3_lattices(X0)|k7_lattices(X0,k5_lattices(X0))=k6_lattices(X0))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f408])).
% 2.43/0.70  fof(f410,plain,(
% 2.43/0.70    ![X0]: (k4_xboole_0(X0,k1_xboole_0)=X0)),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f95])).
% 2.43/0.70  fof(f411,plain,(
% 2.43/0.70    ![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)))),
% 2.43/0.70    inference(NNF_transformation,[status(esa)],[f96])).
% 2.43/0.70  fof(f412,plain,(
% 2.43/0.70    (![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)))),
% 2.43/0.70    inference(miniscoping,[status(esa)],[f411])).
% 2.43/0.70  fof(f414,plain,(
% 2.43/0.70    ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 2.43/0.70    inference(cnf_transformation,[status(esa)],[f412])).
% 2.43/0.70  fof(f431,plain,(
% 2.43/0.70    spl0_0 <=> v3_struct_0(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f432,plain,(
% 2.43/0.70    v3_struct_0(sk0_0)|~spl0_0),
% 2.43/0.70    inference(component_clause,[status(thm)],[f431])).
% 2.43/0.70  fof(f434,plain,(
% 2.43/0.70    spl0_1 <=> v17_lattices(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f436,plain,(
% 2.43/0.70    ~v17_lattices(sk0_0)|spl0_1),
% 2.43/0.70    inference(component_clause,[status(thm)],[f434])).
% 2.43/0.70  fof(f437,plain,(
% 2.43/0.70    spl0_2 <=> l3_lattices(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f439,plain,(
% 2.43/0.70    ~l3_lattices(sk0_0)|spl0_2),
% 2.43/0.70    inference(component_clause,[status(thm)],[f437])).
% 2.43/0.70  fof(f440,plain,(
% 2.43/0.70    spl0_3 <=> k7_lattices(sk0_0,k5_lattices(sk0_0))=k6_lattices(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f441,plain,(
% 2.43/0.70    k7_lattices(sk0_0,k5_lattices(sk0_0))=k6_lattices(sk0_0)|~spl0_3),
% 2.43/0.70    inference(component_clause,[status(thm)],[f440])).
% 2.43/0.70  fof(f443,plain,(
% 2.43/0.70    v3_struct_0(sk0_0)|~v17_lattices(sk0_0)|~l3_lattices(sk0_0)|k7_lattices(sk0_0,k5_lattices(sk0_0))=k6_lattices(sk0_0)),
% 2.43/0.70    inference(resolution,[status(thm)],[f409,f106])).
% 2.43/0.70  fof(f444,plain,(
% 2.43/0.70    spl0_0|~spl0_1|~spl0_2|spl0_3),
% 2.43/0.70    inference(split_clause,[status(thm)],[f443,f431,f434,f437,f440])).
% 2.43/0.70  fof(f445,plain,(
% 2.43/0.70    spl0_4 <=> v10_lattices(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f447,plain,(
% 2.43/0.70    ~v10_lattices(sk0_0)|spl0_4),
% 2.43/0.70    inference(component_clause,[status(thm)],[f445])).
% 2.43/0.70  fof(f452,plain,(
% 2.43/0.70    $false|spl0_1),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f436,f107])).
% 2.43/0.70  fof(f453,plain,(
% 2.43/0.70    spl0_1),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f452])).
% 2.43/0.70  fof(f454,plain,(
% 2.43/0.70    $false|spl0_4),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f447,f106])).
% 2.43/0.70  fof(f455,plain,(
% 2.43/0.70    spl0_4),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f454])).
% 2.43/0.70  fof(f456,plain,(
% 2.43/0.70    $false|~spl0_0),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f432,f105])).
% 2.43/0.70  fof(f457,plain,(
% 2.43/0.70    ~spl0_0),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f456])).
% 2.43/0.70  fof(f500,plain,(
% 2.43/0.70    spl0_14 <=> v3_realset2(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f501,plain,(
% 2.43/0.70    v3_realset2(sk0_12)|~spl0_14),
% 2.43/0.70    inference(component_clause,[status(thm)],[f500])).
% 2.43/0.70  fof(f508,plain,(
% 2.43/0.70    spl0_16 <=> v3_realset2(sk0_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f509,plain,(
% 2.43/0.70    v3_realset2(sk0_0)|~spl0_16),
% 2.43/0.70    inference(component_clause,[status(thm)],[f508])).
% 2.43/0.70  fof(f522,plain,(
% 2.43/0.70    $false|spl0_2),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f439,f109])).
% 2.43/0.70  fof(f523,plain,(
% 2.43/0.70    spl0_2),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f522])).
% 2.43/0.70  fof(f532,plain,(
% 2.43/0.70    spl0_20 <=> m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f533,plain,(
% 2.43/0.70    m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0))|~spl0_20),
% 2.43/0.70    inference(component_clause,[status(thm)],[f532])).
% 2.43/0.70  fof(f563,plain,(
% 2.43/0.70    $false|~spl0_16),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f509,f108])).
% 2.43/0.70  fof(f564,plain,(
% 2.43/0.70    ~spl0_16),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f563])).
% 2.43/0.70  fof(f570,plain,(
% 2.43/0.70    $false|~spl0_14),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f501,f356])).
% 2.43/0.70  fof(f571,plain,(
% 2.43/0.70    ~spl0_14),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f570])).
% 2.43/0.70  fof(f599,plain,(
% 2.43/0.70    spl0_29 <=> k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k5_lattices(sk0_0))=k1_xboole_0),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f600,plain,(
% 2.43/0.70    k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k5_lattices(sk0_0))=k1_xboole_0|~spl0_29),
% 2.43/0.70    inference(component_clause,[status(thm)],[f599])).
% 2.43/0.70  fof(f606,plain,(
% 2.43/0.70    v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|~l3_lattices(sk0_0)|k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k5_lattices(sk0_0))=k1_xboole_0),
% 2.43/0.70    inference(resolution,[status(thm)],[f407,f108])).
% 2.43/0.70  fof(f607,plain,(
% 2.43/0.70    spl0_0|~spl0_4|~spl0_1|~spl0_2|spl0_29),
% 2.43/0.70    inference(split_clause,[status(thm)],[f606,f431,f445,f434,f437,f599])).
% 2.43/0.70  fof(f655,plain,(
% 2.43/0.70    spl0_40 <=> v2_membered(k1_xboole_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f657,plain,(
% 2.43/0.70    ~v2_membered(k1_xboole_0)|spl0_40),
% 2.43/0.70    inference(component_clause,[status(thm)],[f655])).
% 2.43/0.70  fof(f661,plain,(
% 2.43/0.70    $false|spl0_40),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f657,f319])).
% 2.43/0.70  fof(f662,plain,(
% 2.43/0.70    spl0_40),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f661])).
% 2.43/0.70  fof(f665,plain,(
% 2.43/0.70    spl0_41 <=> v3_membered(k1_xboole_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f667,plain,(
% 2.43/0.70    ~v3_membered(k1_xboole_0)|spl0_41),
% 2.43/0.70    inference(component_clause,[status(thm)],[f665])).
% 2.43/0.70  fof(f671,plain,(
% 2.43/0.70    $false|spl0_41),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f667,f320])).
% 2.43/0.70  fof(f672,plain,(
% 2.43/0.70    spl0_41),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f671])).
% 2.43/0.70  fof(f678,plain,(
% 2.43/0.70    spl0_42 <=> v4_membered(k1_xboole_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f680,plain,(
% 2.43/0.70    ~v4_membered(k1_xboole_0)|spl0_42),
% 2.43/0.70    inference(component_clause,[status(thm)],[f678])).
% 2.43/0.70  fof(f684,plain,(
% 2.43/0.70    $false|spl0_42),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f680,f321])).
% 2.43/0.70  fof(f685,plain,(
% 2.43/0.70    spl0_42),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f684])).
% 2.43/0.70  fof(f694,plain,(
% 2.43/0.70    spl0_43 <=> v5_membered(k1_xboole_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f696,plain,(
% 2.43/0.70    ~v5_membered(k1_xboole_0)|spl0_43),
% 2.43/0.70    inference(component_clause,[status(thm)],[f694])).
% 2.43/0.70  fof(f700,plain,(
% 2.43/0.70    $false|spl0_43),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f696,f322])).
% 2.43/0.70  fof(f701,plain,(
% 2.43/0.70    spl0_43),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f700])).
% 2.43/0.70  fof(f754,plain,(
% 2.43/0.70    spl0_51 <=> m1_subset_1(sk0_7(k7_lopclset(sk0_0)),k7_lopclset(sk0_0))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f756,plain,(
% 2.43/0.70    ~m1_subset_1(sk0_7(k7_lopclset(sk0_0)),k7_lopclset(sk0_0))|spl0_51),
% 2.43/0.70    inference(component_clause,[status(thm)],[f754])).
% 2.43/0.70  fof(f759,plain,(
% 2.43/0.70    $false|spl0_51),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f756,f275])).
% 2.43/0.70  fof(f760,plain,(
% 2.43/0.70    spl0_51),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f759])).
% 2.43/0.70  fof(f784,plain,(
% 2.43/0.70    spl0_54 <=> m1_subset_1(k7_lopclset(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f786,plain,(
% 2.43/0.70    ~m1_subset_1(k7_lopclset(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))|spl0_54),
% 2.43/0.70    inference(component_clause,[status(thm)],[f784])).
% 2.43/0.70  fof(f804,plain,(
% 2.43/0.70    spl0_56 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f805,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_56),
% 2.43/0.70    inference(component_clause,[status(thm)],[f804])).
% 2.43/0.70  fof(f814,plain,(
% 2.43/0.70    ~r1_tarski(k7_lopclset(sk0_0),k7_lopclset(sk0_0))|spl0_54),
% 2.43/0.70    inference(resolution,[status(thm)],[f786,f414])).
% 2.43/0.70  fof(f815,plain,(
% 2.43/0.70    $false|spl0_54),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f814,f394])).
% 2.43/0.70  fof(f816,plain,(
% 2.43/0.70    spl0_54),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f815])).
% 2.43/0.70  fof(f831,plain,(
% 2.43/0.70    spl0_59 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f832,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_59),
% 2.43/0.70    inference(component_clause,[status(thm)],[f831])).
% 2.43/0.70  fof(f841,plain,(
% 2.43/0.70    spl0_61 <=> v1_xboole_0(k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f842,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(k7_lopclset(sk0_0)))|~spl0_61),
% 2.43/0.70    inference(component_clause,[status(thm)],[f841])).
% 2.43/0.70  fof(f849,plain,(
% 2.43/0.70    spl0_63 <=> v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sk0_0))))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f850,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sk0_0))))|~spl0_63),
% 2.43/0.70    inference(component_clause,[status(thm)],[f849])).
% 2.43/0.70  fof(f937,plain,(
% 2.43/0.70    spl0_74 <=> m1_subset_1(sk0_7(k7_lopclset(sk0_12)),k7_lopclset(sk0_12))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f939,plain,(
% 2.43/0.70    ~m1_subset_1(sk0_7(k7_lopclset(sk0_12)),k7_lopclset(sk0_12))|spl0_74),
% 2.43/0.70    inference(component_clause,[status(thm)],[f937])).
% 2.43/0.70  fof(f942,plain,(
% 2.43/0.70    $false|spl0_74),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f939,f275])).
% 2.43/0.70  fof(f943,plain,(
% 2.43/0.70    spl0_74),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f942])).
% 2.43/0.70  fof(f1019,plain,(
% 2.43/0.70    spl0_81 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_12)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1020,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_12)))|~spl0_81),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1019])).
% 2.43/0.70  fof(f1028,plain,(
% 2.43/0.70    spl0_83 <=> m1_subset_1(k7_lopclset(sk0_12),k1_zfmisc_1(k7_lopclset(sk0_12)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1030,plain,(
% 2.43/0.70    ~m1_subset_1(k7_lopclset(sk0_12),k1_zfmisc_1(k7_lopclset(sk0_12)))|spl0_83),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1028])).
% 2.43/0.70  fof(f1042,plain,(
% 2.43/0.70    ~r1_tarski(k7_lopclset(sk0_12),k7_lopclset(sk0_12))|spl0_83),
% 2.43/0.70    inference(resolution,[status(thm)],[f1030,f414])).
% 2.43/0.70  fof(f1043,plain,(
% 2.43/0.70    $false|spl0_83),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1042,f394])).
% 2.43/0.70  fof(f1044,plain,(
% 2.43/0.70    spl0_83),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1043])).
% 2.43/0.70  fof(f1084,plain,(
% 2.43/0.70    spl0_88 <=> v1_xboole_0(k1_zfmisc_1(k7_lopclset(sk0_12)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1085,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(k7_lopclset(sk0_12)))|~spl0_88),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1084])).
% 2.43/0.70  fof(f1097,plain,(
% 2.43/0.70    ![X0]: (v3_struct_0(X0)|m1_subset_1(k5_lattices(X0),u1_struct_0(X0))|~l3_lattices(X0))),
% 2.43/0.70    inference(resolution,[status(thm)],[f233,f254])).
% 2.43/0.70  fof(f1098,plain,(
% 2.43/0.70    spl0_91 <=> ~m1_subset_1(X0,sk0_17(k1_xboole_0))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1099,plain,(
% 2.43/0.70    ![X0]: (~m1_subset_1(X0,sk0_17(k1_xboole_0))|~spl0_91)),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1098])).
% 2.43/0.70  fof(f1109,plain,(
% 2.43/0.70    spl0_94 <=> ~m1_subset_1(X0,sk0_15(k1_xboole_0))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1110,plain,(
% 2.43/0.70    ![X0]: (~m1_subset_1(X0,sk0_15(k1_xboole_0))|~spl0_94)),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1109])).
% 2.43/0.70  fof(f1117,plain,(
% 2.43/0.70    spl0_96 <=> ~m1_subset_1(X0,sk0_7(k1_zfmisc_1(k1_xboole_0)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1118,plain,(
% 2.43/0.70    ![X0]: (~m1_subset_1(X0,sk0_7(k1_zfmisc_1(k1_xboole_0)))|~spl0_96)),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1117])).
% 2.43/0.70  fof(f1129,plain,(
% 2.43/0.70    $false|~spl0_96),
% 2.43/0.70    inference(resolution,[status(thm)],[f1118,f275])).
% 2.43/0.70  fof(f1130,plain,(
% 2.43/0.70    ~spl0_96),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1129])).
% 2.43/0.70  fof(f1138,plain,(
% 2.43/0.70    spl0_98 <=> ~m1_subset_1(X0,k1_xboole_0)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1139,plain,(
% 2.43/0.70    ![X0]: (~m1_subset_1(X0,k1_xboole_0)|~spl0_98)),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1138])).
% 2.43/0.70  fof(f1218,plain,(
% 2.43/0.70    $false|~spl0_56),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f805,f284])).
% 2.43/0.70  fof(f1219,plain,(
% 2.43/0.70    ~spl0_56),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1218])).
% 2.43/0.70  fof(f1271,plain,(
% 2.43/0.70    spl0_109 <=> v4_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1273,plain,(
% 2.43/0.70    ~v4_lattices(sk0_12)|spl0_109),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1271])).
% 2.43/0.70  fof(f1274,plain,(
% 2.43/0.70    spl0_110 <=> v6_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1276,plain,(
% 2.43/0.70    ~v6_lattices(sk0_12)|spl0_110),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1274])).
% 2.43/0.70  fof(f1277,plain,(
% 2.43/0.70    spl0_111 <=> v7_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1279,plain,(
% 2.43/0.70    ~v7_lattices(sk0_12)|spl0_111),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1277])).
% 2.43/0.70  fof(f1280,plain,(
% 2.43/0.70    spl0_112 <=> v8_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1282,plain,(
% 2.43/0.70    ~v8_lattices(sk0_12)|spl0_112),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1280])).
% 2.43/0.70  fof(f1283,plain,(
% 2.43/0.70    spl0_113 <=> v9_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1285,plain,(
% 2.43/0.70    ~v9_lattices(sk0_12)|spl0_113),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1283])).
% 2.43/0.70  fof(f1288,plain,(
% 2.43/0.70    spl0_114 <=> v5_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1290,plain,(
% 2.43/0.70    ~v5_lattices(sk0_12)|spl0_114),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1288])).
% 2.43/0.70  fof(f1299,plain,(
% 2.43/0.70    $false|spl0_112),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1282,f346])).
% 2.43/0.70  fof(f1300,plain,(
% 2.43/0.70    spl0_112),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1299])).
% 2.43/0.70  fof(f1301,plain,(
% 2.43/0.70    $false|spl0_111),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1279,f345])).
% 2.43/0.70  fof(f1302,plain,(
% 2.43/0.70    spl0_111),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1301])).
% 2.43/0.70  fof(f1303,plain,(
% 2.43/0.70    $false|spl0_110),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1276,f344])).
% 2.43/0.70  fof(f1304,plain,(
% 2.43/0.70    spl0_110),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1303])).
% 2.43/0.70  fof(f1305,plain,(
% 2.43/0.70    $false|spl0_114),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1290,f343])).
% 2.43/0.70  fof(f1306,plain,(
% 2.43/0.70    spl0_114),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1305])).
% 2.43/0.70  fof(f1307,plain,(
% 2.43/0.70    $false|spl0_113),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1285,f347])).
% 2.43/0.70  fof(f1308,plain,(
% 2.43/0.70    spl0_113),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1307])).
% 2.43/0.70  fof(f1309,plain,(
% 2.43/0.70    $false|spl0_109),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1273,f342])).
% 2.43/0.70  fof(f1310,plain,(
% 2.43/0.70    spl0_109),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1309])).
% 2.43/0.70  fof(f1324,plain,(
% 2.43/0.70    spl0_118 <=> v11_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1326,plain,(
% 2.43/0.70    ~v11_lattices(sk0_12)|spl0_118),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1324])).
% 2.43/0.70  fof(f1327,plain,(
% 2.43/0.70    spl0_119 <=> v15_lattices(sk0_12)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1329,plain,(
% 2.43/0.70    ~v15_lattices(sk0_12)|spl0_119),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1327])).
% 2.43/0.70  fof(f1332,plain,(
% 2.43/0.70    $false|spl0_119),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1329,f353])).
% 2.43/0.70  fof(f1333,plain,(
% 2.43/0.70    spl0_119),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1332])).
% 2.43/0.70  fof(f1334,plain,(
% 2.43/0.70    $false|spl0_118),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1326,f349])).
% 2.43/0.70  fof(f1335,plain,(
% 2.43/0.70    spl0_118),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1334])).
% 2.43/0.70  fof(f1368,plain,(
% 2.43/0.70    spl0_124 <=> v1_xboole_0(k1_zfmisc_1(sk0_7(sk0_7(k7_lopclset(sk0_0)))))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1369,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(sk0_7(sk0_7(k7_lopclset(sk0_0)))))|~spl0_124),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1368])).
% 2.43/0.70  fof(f1429,plain,(
% 2.43/0.70    spl0_131 <=> v1_xboole_0(k1_zfmisc_1(k6_lattices(sk0_0)))),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1430,plain,(
% 2.43/0.70    v1_xboole_0(k1_zfmisc_1(k6_lattices(sk0_0)))|~spl0_131),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1429])).
% 2.43/0.70  fof(f1436,plain,(
% 2.43/0.70    $false|~spl0_61),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f842,f284])).
% 2.43/0.70  fof(f1437,plain,(
% 2.43/0.70    ~spl0_61),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1436])).
% 2.43/0.70  fof(f1451,plain,(
% 2.43/0.70    $false|~spl0_131),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1430,f284])).
% 2.43/0.70  fof(f1452,plain,(
% 2.43/0.70    ~spl0_131),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1451])).
% 2.43/0.70  fof(f1453,plain,(
% 2.43/0.70    $false|~spl0_124),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1369,f284])).
% 2.43/0.70  fof(f1454,plain,(
% 2.43/0.70    ~spl0_124),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1453])).
% 2.43/0.70  fof(f1456,plain,(
% 2.43/0.70    $false|~spl0_88),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1085,f284])).
% 2.43/0.70  fof(f1457,plain,(
% 2.43/0.70    ~spl0_88),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1456])).
% 2.43/0.70  fof(f1458,plain,(
% 2.43/0.70    $false|~spl0_81),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1020,f284])).
% 2.43/0.70  fof(f1459,plain,(
% 2.43/0.70    ~spl0_81),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1458])).
% 2.43/0.70  fof(f1460,plain,(
% 2.43/0.70    $false|~spl0_63),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f850,f284])).
% 2.43/0.70  fof(f1461,plain,(
% 2.43/0.70    ~spl0_63),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1460])).
% 2.43/0.70  fof(f1462,plain,(
% 2.43/0.70    $false|~spl0_59),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f832,f284])).
% 2.43/0.70  fof(f1463,plain,(
% 2.43/0.70    ~spl0_59),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1462])).
% 2.43/0.70  fof(f1716,plain,(
% 2.43/0.70    spl0_154 <=> l3_lattices(sk0_4)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1718,plain,(
% 2.43/0.70    ~l3_lattices(sk0_4)|spl0_154),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1716])).
% 2.43/0.70  fof(f1727,plain,(
% 2.43/0.70    $false|spl0_154),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1718,f268])).
% 2.43/0.70  fof(f1728,plain,(
% 2.43/0.70    spl0_154),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1727])).
% 2.43/0.70  fof(f1766,plain,(
% 2.43/0.70    $false|~spl0_98),
% 2.43/0.70    inference(resolution,[status(thm)],[f1139,f275])).
% 2.43/0.70  fof(f1767,plain,(
% 2.43/0.70    ~spl0_98),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1766])).
% 2.43/0.70  fof(f1796,plain,(
% 2.43/0.70    $false|~spl0_94),
% 2.43/0.70    inference(resolution,[status(thm)],[f1110,f275])).
% 2.43/0.70  fof(f1797,plain,(
% 2.43/0.70    ~spl0_94),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1796])).
% 2.43/0.70  fof(f1798,plain,(
% 2.43/0.70    $false|~spl0_91),
% 2.43/0.70    inference(resolution,[status(thm)],[f1099,f275])).
% 2.43/0.70  fof(f1799,plain,(
% 2.43/0.70    ~spl0_91),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1798])).
% 2.43/0.70  fof(f1854,plain,(
% 2.43/0.70    spl0_173 <=> l1_struct_0(sk0_1)),
% 2.43/0.70    introduced(split_symbol_definition)).
% 2.43/0.70  fof(f1856,plain,(
% 2.43/0.70    ~l1_struct_0(sk0_1)|spl0_173),
% 2.43/0.70    inference(component_clause,[status(thm)],[f1854])).
% 2.43/0.70  fof(f1873,plain,(
% 2.43/0.70    ~l1_lattices(sk0_1)|spl0_173),
% 2.43/0.70    inference(resolution,[status(thm)],[f1856,f250])).
% 2.43/0.70  fof(f1874,plain,(
% 2.43/0.70    $false|spl0_173),
% 2.43/0.70    inference(forward_subsumption_resolution,[status(thm)],[f1873,f262])).
% 2.43/0.70  fof(f1875,plain,(
% 2.43/0.70    spl0_173),
% 2.43/0.70    inference(contradiction_clause,[status(thm)],[f1874])).
% 2.43/0.70  fof(f1903,plain,(
% 2.43/0.70    v3_struct_0(sk0_0)|m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0))),
% 2.43/0.70    inference(resolution,[status(thm)],[f1097,f109])).
% 2.43/0.70  fof(f1904,plain,(
% 2.43/0.70    spl0_0|spl0_20),
% 2.43/0.70    inference(split_clause,[status(thm)],[f1903,f431,f532])).
% 2.43/0.70  fof(f2042,plain,(
% 2.43/0.70    spl0_196 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_xboole_0(k7_lopclset(sk0_0),k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0))=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,X0))),
% 2.43/0.71    introduced(split_symbol_definition)).
% 2.43/0.71  fof(f2043,plain,(
% 2.43/0.71    ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_xboole_0(k7_lopclset(sk0_0),k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0))=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,X0))|~spl0_196)),
% 2.43/0.71    inference(component_clause,[status(thm)],[f2042])).
% 2.43/0.71  fof(f2049,plain,(
% 2.43/0.71    ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_xboole_0(k7_lopclset(sk0_0),k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0))=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,X0)))),
% 2.43/0.71    inference(resolution,[status(thm)],[f398,f108])).
% 2.43/0.71  fof(f2050,plain,(
% 2.43/0.71    spl0_0|~spl0_4|~spl0_1|~spl0_2|spl0_196),
% 2.43/0.71    inference(split_clause,[status(thm)],[f2049,f431,f445,f434,f437,f2042])).
% 2.43/0.71  fof(f2158,plain,(
% 2.43/0.71    k4_xboole_0(k7_lopclset(sk0_0),k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k5_lattices(sk0_0)))=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,k5_lattices(sk0_0)))|~spl0_196|~spl0_20),
% 2.43/0.71    inference(resolution,[status(thm)],[f2043,f533])).
% 2.43/0.71  fof(f2159,plain,(
% 2.43/0.71    k4_xboole_0(k7_lopclset(sk0_0),k1_xboole_0)=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,k5_lattices(sk0_0)))|~spl0_29|~spl0_196|~spl0_20),
% 2.43/0.71    inference(forward_demodulation,[status(thm)],[f600,f2158])).
% 2.43/0.71  fof(f2160,plain,(
% 2.43/0.71    k7_lopclset(sk0_0)=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k7_lattices(sk0_0,k5_lattices(sk0_0)))|~spl0_29|~spl0_196|~spl0_20),
% 2.43/0.71    inference(forward_demodulation,[status(thm)],[f410,f2159])).
% 2.43/0.71  fof(f2161,plain,(
% 2.43/0.71    k7_lopclset(sk0_0)=k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),k6_lattices(sk0_0))|~spl0_3|~spl0_29|~spl0_196|~spl0_20),
% 2.43/0.71    inference(forward_demodulation,[status(thm)],[f441,f2160])).
% 2.43/0.71  fof(f2162,plain,(
% 2.43/0.71    $false|~spl0_3|~spl0_29|~spl0_196|~spl0_20),
% 2.43/0.71    inference(forward_subsumption_resolution,[status(thm)],[f2161,f110])).
% 2.43/0.71  fof(f2163,plain,(
% 2.43/0.71    ~spl0_3|~spl0_29|~spl0_196|~spl0_20),
% 2.43/0.71    inference(contradiction_clause,[status(thm)],[f2162])).
% 2.43/0.71  fof(f2164,plain,(
% 2.43/0.71    $false),
% 2.43/0.71    inference(sat_refutation,[status(thm)],[f444,f453,f455,f457,f523,f564,f571,f607,f662,f672,f685,f701,f760,f816,f943,f1044,f1130,f1219,f1300,f1302,f1304,f1306,f1308,f1310,f1333,f1335,f1437,f1452,f1454,f1457,f1459,f1461,f1463,f1728,f1767,f1797,f1799,f1875,f1904,f2050,f2163])).
% 2.43/0.71  % SZS output end CNFRefutation for theBenchmark.p
% 2.43/0.72  % Elapsed time: 0.396137 seconds
% 2.43/0.72  % CPU time: 2.956158 seconds
% 2.43/0.72  % Total memory used: 107.965 MB
% 2.43/0.72  % Net memory used: 105.852 MB
%------------------------------------------------------------------------------