TSTP Solution File: CAT026+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:13:25 EDT 2024

% Result   : Theorem 12.16s 1.96s
% Output   : CNFRefutation 12.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:08:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 12.16/1.96  % Refutation found
% 12.16/1.96  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.16/1.96  % SZS output start CNFRefutation for theBenchmark
% 12.16/1.96  fof(f1,conjecture,(
% 12.16/1.96    (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> (! [D] :( m2_cat_1(D,A,k11_cat_2(B,C))=> (! [E] :( m2_cat_1(E,A,k11_cat_2(B,C))=> ( r2_nattra_1(A,k11_cat_2(B,C),D,E)=> ( r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E))& r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) ) ) ) )) )) )) )) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f2,negated_conjecture,(
% 12.16/1.96    ~((! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> (! [D] :( m2_cat_1(D,A,k11_cat_2(B,C))=> (! [E] :( m2_cat_1(E,A,k11_cat_2(B,C))=> ( r2_nattra_1(A,k11_cat_2(B,C),D,E)=> ( r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E))& r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) ) ) ) )) )) )) )) ))),
% 12.16/1.96    inference(negated_conjecture,[status(cth)],[f1])).
% 12.16/1.96  fof(f12,axiom,(
% 12.16/1.96    (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> m2_cat_1(k16_cat_2(A,B),k11_cat_2(A,B),A) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f13,axiom,(
% 12.16/1.96    (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> m2_cat_1(k17_cat_2(A,B),k11_cat_2(A,B),B) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f19,axiom,(
% 12.16/1.96    (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f31,axiom,(
% 12.16/1.96    (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> k8_isocat_2(A,B) = k16_cat_2(A,B) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f32,axiom,(
% 12.16/1.96    (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> k9_isocat_2(A,B) = k17_cat_2(A,B) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f39,axiom,(
% 12.16/1.96    (! [A,B,C,D] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B)& m2_cat_1(C,A,B)& m2_cat_1(D,A,B) )=> r2_nattra_1(A,B,C,C) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f43,axiom,(
% 12.16/1.96    (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> ( v2_cat_1(k11_cat_2(A,B))& l1_cat_1(k11_cat_2(A,B)) ) ) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f49,axiom,(
% 12.16/1.96    (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> (! [D] :( m2_cat_1(D,A,k11_cat_2(B,C))=> k11_isocat_2(A,B,C,D) = k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)) ) )) )) )) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f50,axiom,(
% 12.16/1.96    (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> (! [D] :( m2_cat_1(D,A,k11_cat_2(B,C))=> k12_isocat_2(A,B,C,D) = k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)) ) )) )) )) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f51,axiom,(
% 12.16/1.96    (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> (! [D] :( m2_cat_1(D,A,B)=> (! [E] :( m2_cat_1(E,A,B)=> (! [F] :( m2_cat_1(F,B,C)=> (! [G] :( m2_cat_1(G,B,C)=> ( ( r2_nattra_1(A,B,D,E)& r2_nattra_1(B,C,F,G) )=> r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G)) ) ) )) )) )) )) )) )) )),
% 12.16/1.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.16/1.96  fof(f52,plain,(
% 12.16/1.96    (?[A]: ((v2_cat_1(A)&l1_cat_1(A))&(?[B]: ((v2_cat_1(B)&l1_cat_1(B))&(?[C]: ((v2_cat_1(C)&l1_cat_1(C))&(?[D]: (m2_cat_1(D,A,k11_cat_2(B,C))&(?[E]: (m2_cat_1(E,A,k11_cat_2(B,C))&(r2_nattra_1(A,k11_cat_2(B,C),D,E)&(~r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E))|~r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))))))))))))))),
% 12.16/1.96    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 12.16/1.96  fof(f53,plain,(
% 12.16/1.96    ((v2_cat_1(sk0_0)&l1_cat_1(sk0_0))&((v2_cat_1(sk0_1)&l1_cat_1(sk0_1))&((v2_cat_1(sk0_2)&l1_cat_1(sk0_2))&(m2_cat_1(sk0_3,sk0_0,k11_cat_2(sk0_1,sk0_2))&(m2_cat_1(sk0_4,sk0_0,k11_cat_2(sk0_1,sk0_2))&(r2_nattra_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_3,sk0_4)&(~r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|~r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)))))))))),
% 12.16/1.97    inference(skolemization,[status(esa)],[f52])).
% 12.16/1.97  fof(f54,plain,(
% 12.16/1.97    v2_cat_1(sk0_0)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f55,plain,(
% 12.16/1.97    l1_cat_1(sk0_0)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f56,plain,(
% 12.16/1.97    v2_cat_1(sk0_1)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f57,plain,(
% 12.16/1.97    l1_cat_1(sk0_1)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f58,plain,(
% 12.16/1.97    v2_cat_1(sk0_2)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f59,plain,(
% 12.16/1.97    l1_cat_1(sk0_2)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f60,plain,(
% 12.16/1.97    m2_cat_1(sk0_3,sk0_0,k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f61,plain,(
% 12.16/1.97    m2_cat_1(sk0_4,sk0_0,k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f62,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_3,sk0_4)),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f63,plain,(
% 12.16/1.97    ~r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|~r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f53])).
% 12.16/1.97  fof(f81,plain,(
% 12.16/1.97    ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|m2_cat_1(k16_cat_2(A,B),k11_cat_2(A,B),A))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 12.16/1.97  fof(f82,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f81])).
% 12.16/1.97  fof(f83,plain,(
% 12.16/1.97    ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|m2_cat_1(k17_cat_2(A,B),k11_cat_2(A,B),B))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f13])).
% 12.16/1.97  fof(f84,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f83])).
% 12.16/1.97  fof(f88,plain,(
% 12.16/1.97    ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f19])).
% 12.16/1.97  fof(f118,plain,(
% 12.16/1.97    ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|k8_isocat_2(A,B)=k16_cat_2(A,B))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 12.16/1.97  fof(f119,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|k8_isocat_2(X0,X1)=k16_cat_2(X0,X1))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f118])).
% 12.16/1.97  fof(f120,plain,(
% 12.16/1.97    ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|k9_isocat_2(A,B)=k17_cat_2(A,B))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f32])).
% 12.16/1.97  fof(f121,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|k9_isocat_2(X0,X1)=k17_cat_2(X0,X1))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f120])).
% 12.16/1.97  fof(f136,plain,(
% 12.16/1.97    ![A,B,C,D]: ((((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|~m2_cat_1(C,A,B))|~m2_cat_1(D,A,B))|r2_nattra_1(A,B,C,C))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f39])).
% 12.16/1.97  fof(f137,plain,(
% 12.16/1.97    ![A,B,C]: ((((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|~m2_cat_1(C,A,B))|(![D]: ~m2_cat_1(D,A,B)))|r2_nattra_1(A,B,C,C))),
% 12.16/1.97    inference(miniscoping,[status(esa)],[f136])).
% 12.16/1.97  fof(f138,plain,(
% 12.16/1.97    ![X0,X1,X2,X3]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~m2_cat_1(X2,X0,X1)|~m2_cat_1(X3,X0,X1)|r2_nattra_1(X0,X1,X2,X2))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f137])).
% 12.16/1.97  fof(f146,plain,(
% 12.16/1.97    ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|(v2_cat_1(k11_cat_2(A,B))&l1_cat_1(k11_cat_2(A,B))))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f43])).
% 12.16/1.97  fof(f147,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|v2_cat_1(k11_cat_2(X0,X1)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f146])).
% 12.16/1.97  fof(f148,plain,(
% 12.16/1.97    ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|l1_cat_1(k11_cat_2(X0,X1)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f146])).
% 12.16/1.97  fof(f159,plain,(
% 12.16/1.97    ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(![C]: ((~v2_cat_1(C)|~l1_cat_1(C))|(![D]: (~m2_cat_1(D,A,k11_cat_2(B,C))|k11_isocat_2(A,B,C,D)=k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)))))))))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f49])).
% 12.16/1.97  fof(f160,plain,(
% 12.16/1.97    ![X0,X1,X2,X3]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|~m2_cat_1(X3,X0,k11_cat_2(X1,X2))|k11_isocat_2(X0,X1,X2,X3)=k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f159])).
% 12.16/1.97  fof(f161,plain,(
% 12.16/1.97    ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(![C]: ((~v2_cat_1(C)|~l1_cat_1(C))|(![D]: (~m2_cat_1(D,A,k11_cat_2(B,C))|k12_isocat_2(A,B,C,D)=k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)))))))))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f50])).
% 12.16/1.97  fof(f162,plain,(
% 12.16/1.97    ![X0,X1,X2,X3]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|~m2_cat_1(X3,X0,k11_cat_2(X1,X2))|k12_isocat_2(X0,X1,X2,X3)=k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f161])).
% 12.16/1.97  fof(f163,plain,(
% 12.16/1.97    ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(![C]: ((~v2_cat_1(C)|~l1_cat_1(C))|(![D]: (~m2_cat_1(D,A,B)|(![E]: (~m2_cat_1(E,A,B)|(![F]: (~m2_cat_1(F,B,C)|(![G]: (~m2_cat_1(G,B,C)|((~r2_nattra_1(A,B,D,E)|~r2_nattra_1(B,C,F,G))|r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G))))))))))))))))),
% 12.16/1.97    inference(pre_NNF_transformation,[status(esa)],[f51])).
% 12.16/1.97  fof(f164,plain,(
% 12.16/1.97    ![X0,X1,X2,X3,X4,X5,X6]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|~m2_cat_1(X3,X0,X1)|~m2_cat_1(X4,X0,X1)|~m2_cat_1(X5,X1,X2)|~m2_cat_1(X6,X1,X2)|~r2_nattra_1(X0,X1,X3,X4)|~r2_nattra_1(X1,X2,X5,X6)|r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)))),
% 12.16/1.97    inference(cnf_transformation,[status(esa)],[f163])).
% 12.16/1.97  fof(f165,plain,(
% 12.16/1.97    spl0_0 <=> r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f167,plain,(
% 12.16/1.97    ~r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|spl0_0),
% 12.16/1.97    inference(component_clause,[status(thm)],[f165])).
% 12.16/1.97  fof(f168,plain,(
% 12.16/1.97    spl0_1 <=> r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f170,plain,(
% 12.16/1.97    ~r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|spl0_1),
% 12.16/1.97    inference(component_clause,[status(thm)],[f168])).
% 12.16/1.97  fof(f171,plain,(
% 12.16/1.97    ~spl0_0|~spl0_1),
% 12.16/1.97    inference(split_clause,[status(thm)],[f63,f165,f168])).
% 12.16/1.97  fof(f172,plain,(
% 12.16/1.97    spl0_2 <=> v2_cat_1(sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f174,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|spl0_2),
% 12.16/1.97    inference(component_clause,[status(thm)],[f172])).
% 12.16/1.97  fof(f180,plain,(
% 12.16/1.97    spl0_4 <=> v2_cat_1(sk0_1)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f182,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_1)|spl0_4),
% 12.16/1.97    inference(component_clause,[status(thm)],[f180])).
% 12.16/1.97  fof(f183,plain,(
% 12.16/1.97    spl0_5 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|v2_cat_1(k11_cat_2(sk0_1,X0))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f184,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|v2_cat_1(k11_cat_2(sk0_1,X0))|~spl0_5)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f183])).
% 12.16/1.97  fof(f186,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|v2_cat_1(k11_cat_2(sk0_1,X0)))),
% 12.16/1.97    inference(resolution,[status(thm)],[f147,f57])).
% 12.16/1.97  fof(f187,plain,(
% 12.16/1.97    ~spl0_4|spl0_5),
% 12.16/1.97    inference(split_clause,[status(thm)],[f186,f180,f183])).
% 12.16/1.97  fof(f188,plain,(
% 12.16/1.97    spl0_6 <=> v2_cat_1(sk0_0)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f190,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_0)|spl0_6),
% 12.16/1.97    inference(component_clause,[status(thm)],[f188])).
% 12.16/1.97  fof(f196,plain,(
% 12.16/1.97    $false|spl0_6),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f190,f54])).
% 12.16/1.97  fof(f197,plain,(
% 12.16/1.97    spl0_6),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f196])).
% 12.16/1.97  fof(f198,plain,(
% 12.16/1.97    $false|spl0_4),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f182,f56])).
% 12.16/1.97  fof(f199,plain,(
% 12.16/1.97    spl0_4),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f198])).
% 12.16/1.97  fof(f200,plain,(
% 12.16/1.97    $false|spl0_2),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f174,f58])).
% 12.16/1.97  fof(f201,plain,(
% 12.16/1.97    spl0_2),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f200])).
% 12.16/1.97  fof(f207,plain,(
% 12.16/1.97    spl0_9 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|l1_cat_1(k11_cat_2(sk0_1,X0))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f208,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|l1_cat_1(k11_cat_2(sk0_1,X0))|~spl0_9)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f207])).
% 12.16/1.97  fof(f210,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|l1_cat_1(k11_cat_2(sk0_1,X0)))),
% 12.16/1.97    inference(resolution,[status(thm)],[f148,f57])).
% 12.16/1.97  fof(f211,plain,(
% 12.16/1.97    ~spl0_4|spl0_9),
% 12.16/1.97    inference(split_clause,[status(thm)],[f210,f180,f207])).
% 12.16/1.97  fof(f217,plain,(
% 12.16/1.97    spl0_11 <=> l1_cat_1(sk0_0)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f219,plain,(
% 12.16/1.97    ~l1_cat_1(sk0_0)|spl0_11),
% 12.16/1.97    inference(component_clause,[status(thm)],[f217])).
% 12.16/1.97  fof(f220,plain,(
% 12.16/1.97    spl0_12 <=> v2_cat_1(k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f223,plain,(
% 12.16/1.97    spl0_13 <=> l1_cat_1(k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f239,plain,(
% 12.16/1.97    spl0_17 <=> l1_cat_1(sk0_1)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f241,plain,(
% 12.16/1.97    ~l1_cat_1(sk0_1)|spl0_17),
% 12.16/1.97    inference(component_clause,[status(thm)],[f239])).
% 12.16/1.97  fof(f242,plain,(
% 12.16/1.97    spl0_18 <=> l1_cat_1(sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f244,plain,(
% 12.16/1.97    ~l1_cat_1(sk0_2)|spl0_18),
% 12.16/1.97    inference(component_clause,[status(thm)],[f242])).
% 12.16/1.97  fof(f255,plain,(
% 12.16/1.97    $false|spl0_18),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f244,f59])).
% 12.16/1.97  fof(f256,plain,(
% 12.16/1.97    spl0_18),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f255])).
% 12.16/1.97  fof(f257,plain,(
% 12.16/1.97    $false|spl0_17),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f241,f57])).
% 12.16/1.97  fof(f258,plain,(
% 12.16/1.97    spl0_17),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f257])).
% 12.16/1.97  fof(f259,plain,(
% 12.16/1.97    $false|spl0_11),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f219,f55])).
% 12.16/1.97  fof(f260,plain,(
% 12.16/1.97    spl0_11),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f259])).
% 12.16/1.97  fof(f327,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|v2_cat_1(k11_cat_2(sk0_1,sk0_2))|~spl0_5),
% 12.16/1.97    inference(resolution,[status(thm)],[f184,f59])).
% 12.16/1.97  fof(f328,plain,(
% 12.16/1.97    ~spl0_2|spl0_12|~spl0_5),
% 12.16/1.97    inference(split_clause,[status(thm)],[f327,f172,f220,f183])).
% 12.16/1.97  fof(f384,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|l1_cat_1(k11_cat_2(sk0_1,sk0_2))|~spl0_9),
% 12.16/1.97    inference(resolution,[status(thm)],[f208,f59])).
% 12.16/1.97  fof(f385,plain,(
% 12.16/1.97    ~spl0_2|spl0_13|~spl0_9),
% 12.16/1.97    inference(split_clause,[status(thm)],[f384,f172,f223,f207])).
% 12.16/1.97  fof(f928,plain,(
% 12.16/1.97    spl0_146 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k16_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),sk0_1)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f929,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k16_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),sk0_1)|~spl0_146)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f928])).
% 12.16/1.97  fof(f931,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k16_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),sk0_1))),
% 12.16/1.97    inference(resolution,[status(thm)],[f82,f57])).
% 12.16/1.97  fof(f932,plain,(
% 12.16/1.97    ~spl0_4|spl0_146),
% 12.16/1.97    inference(split_clause,[status(thm)],[f931,f180,f928])).
% 12.16/1.97  fof(f1022,plain,(
% 12.16/1.97    spl0_160 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|k8_isocat_2(sk0_1,X0)=k16_cat_2(sk0_1,X0)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1023,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|k8_isocat_2(sk0_1,X0)=k16_cat_2(sk0_1,X0)|~spl0_160)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1022])).
% 12.16/1.97  fof(f1025,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|k8_isocat_2(sk0_1,X0)=k16_cat_2(sk0_1,X0))),
% 12.16/1.97    inference(resolution,[status(thm)],[f119,f57])).
% 12.16/1.97  fof(f1026,plain,(
% 12.16/1.97    ~spl0_4|spl0_160),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1025,f180,f1022])).
% 12.16/1.97  fof(f1092,plain,(
% 12.16/1.97    spl0_174 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|k9_isocat_2(sk0_1,X0)=k17_cat_2(sk0_1,X0)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1093,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|k9_isocat_2(sk0_1,X0)=k17_cat_2(sk0_1,X0)|~spl0_174)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1092])).
% 12.16/1.97  fof(f1095,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|k9_isocat_2(sk0_1,X0)=k17_cat_2(sk0_1,X0))),
% 12.16/1.97    inference(resolution,[status(thm)],[f121,f57])).
% 12.16/1.97  fof(f1096,plain,(
% 12.16/1.97    ~spl0_4|spl0_174),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1095,f180,f1092])).
% 12.16/1.97  fof(f1232,plain,(
% 12.16/1.97    spl0_202 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k17_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),X0)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1233,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k17_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),X0)|~spl0_202)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1232])).
% 12.16/1.97  fof(f1235,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(sk0_1)|~v2_cat_1(X0)|~l1_cat_1(X0)|m2_cat_1(k17_cat_2(sk0_1,X0),k11_cat_2(sk0_1,X0),X0))),
% 12.16/1.97    inference(resolution,[status(thm)],[f84,f57])).
% 12.16/1.97  fof(f1236,plain,(
% 12.16/1.97    ~spl0_4|spl0_202),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1235,f180,f1232])).
% 12.16/1.97  fof(f1456,plain,(
% 12.16/1.97    spl0_242 <=> k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k8_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1457,plain,(
% 12.16/1.97    k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k8_isocat_2(sk0_1,sk0_2))|~spl0_242),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1456])).
% 12.16/1.97  fof(f1459,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_0)|~l1_cat_1(sk0_0)|~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k8_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(resolution,[status(thm)],[f160,f60])).
% 12.16/1.97  fof(f1460,plain,(
% 12.16/1.97    ~spl0_6|~spl0_11|~spl0_4|~spl0_17|~spl0_2|~spl0_18|spl0_242),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1459,f188,f217,f180,f239,f172,f242,f1456])).
% 12.16/1.97  fof(f1461,plain,(
% 12.16/1.97    spl0_243 <=> k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k8_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1462,plain,(
% 12.16/1.97    k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k8_isocat_2(sk0_1,sk0_2))|~spl0_243),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1461])).
% 12.16/1.97  fof(f1464,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_0)|~l1_cat_1(sk0_0)|~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k8_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(resolution,[status(thm)],[f160,f61])).
% 12.16/1.97  fof(f1465,plain,(
% 12.16/1.97    ~spl0_6|~spl0_11|~spl0_4|~spl0_17|~spl0_2|~spl0_18|spl0_243),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1464,f188,f217,f180,f239,f172,f242,f1461])).
% 12.16/1.97  fof(f1466,plain,(
% 12.16/1.97    spl0_244 <=> k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k9_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1467,plain,(
% 12.16/1.97    k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k9_isocat_2(sk0_1,sk0_2))|~spl0_244),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1466])).
% 12.16/1.97  fof(f1469,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_0)|~l1_cat_1(sk0_0)|~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k9_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(resolution,[status(thm)],[f162,f60])).
% 12.16/1.97  fof(f1470,plain,(
% 12.16/1.97    ~spl0_6|~spl0_11|~spl0_4|~spl0_17|~spl0_2|~spl0_18|spl0_244),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1469,f188,f217,f180,f239,f172,f242,f1466])).
% 12.16/1.97  fof(f1471,plain,(
% 12.16/1.97    spl0_245 <=> k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k9_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1472,plain,(
% 12.16/1.97    k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k9_isocat_2(sk0_1,sk0_2))|~spl0_245),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1471])).
% 12.16/1.97  fof(f1474,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_0)|~l1_cat_1(sk0_0)|~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k9_isocat_2(sk0_1,sk0_2))),
% 12.16/1.97    inference(resolution,[status(thm)],[f162,f61])).
% 12.16/1.97  fof(f1475,plain,(
% 12.16/1.97    ~spl0_6|~spl0_11|~spl0_4|~spl0_17|~spl0_2|~spl0_18|spl0_245),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1474,f188,f217,f180,f239,f172,f242,f1471])).
% 12.16/1.97  fof(f1479,plain,(
% 12.16/1.97    spl0_247 <=> m2_cat_1(sk0_4,sk0_0,k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1481,plain,(
% 12.16/1.97    ~m2_cat_1(sk0_4,sk0_0,k11_cat_2(sk0_1,sk0_2))|spl0_247),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1479])).
% 12.16/1.97  fof(f1487,plain,(
% 12.16/1.97    spl0_249 <=> m2_cat_1(sk0_3,sk0_0,k11_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1489,plain,(
% 12.16/1.97    ~m2_cat_1(sk0_3,sk0_0,k11_cat_2(sk0_1,sk0_2))|spl0_249),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1487])).
% 12.16/1.97  fof(f1492,plain,(
% 12.16/1.97    spl0_250 <=> ~v2_cat_1(X0)|~l1_cat_1(X0)|~m2_cat_1(X1,k11_cat_2(sk0_1,sk0_2),X0)|~m2_cat_1(X2,k11_cat_2(sk0_1,sk0_2),X0)|~r2_nattra_1(k11_cat_2(sk0_1,sk0_2),X0,X1,X2)|r2_nattra_1(sk0_0,X0,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_3,X1),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_4,X2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1493,plain,(
% 12.16/1.97    ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~m2_cat_1(X1,k11_cat_2(sk0_1,sk0_2),X0)|~m2_cat_1(X2,k11_cat_2(sk0_1,sk0_2),X0)|~r2_nattra_1(k11_cat_2(sk0_1,sk0_2),X0,X1,X2)|r2_nattra_1(sk0_0,X0,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_3,X1),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_4,X2))|~spl0_250)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1492])).
% 12.16/1.97  fof(f1495,plain,(
% 12.16/1.97    ![X0,X1,X2]: (~v2_cat_1(sk0_0)|~l1_cat_1(sk0_0)|~v2_cat_1(k11_cat_2(sk0_1,sk0_2))|~l1_cat_1(k11_cat_2(sk0_1,sk0_2))|~v2_cat_1(X0)|~l1_cat_1(X0)|~m2_cat_1(sk0_3,sk0_0,k11_cat_2(sk0_1,sk0_2))|~m2_cat_1(sk0_4,sk0_0,k11_cat_2(sk0_1,sk0_2))|~m2_cat_1(X1,k11_cat_2(sk0_1,sk0_2),X0)|~m2_cat_1(X2,k11_cat_2(sk0_1,sk0_2),X0)|~r2_nattra_1(k11_cat_2(sk0_1,sk0_2),X0,X1,X2)|r2_nattra_1(sk0_0,X0,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_3,X1),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),X0,sk0_4,X2)))),
% 12.16/1.97    inference(resolution,[status(thm)],[f164,f62])).
% 12.16/1.97  fof(f1496,plain,(
% 12.16/1.97    ~spl0_6|~spl0_11|~spl0_12|~spl0_13|spl0_250|~spl0_249|~spl0_247),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1495,f188,f217,f220,f223,f1492,f1487,f1479])).
% 12.16/1.97  fof(f1497,plain,(
% 12.16/1.97    $false|spl0_249),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f1489,f60])).
% 12.16/1.97  fof(f1498,plain,(
% 12.16/1.97    spl0_249),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f1497])).
% 12.16/1.97  fof(f1499,plain,(
% 12.16/1.97    $false|spl0_247),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f1481,f61])).
% 12.16/1.97  fof(f1500,plain,(
% 12.16/1.97    spl0_247),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f1499])).
% 12.16/1.97  fof(f1652,plain,(
% 12.16/1.97    spl0_278 <=> k8_isocat_2(sk0_1,sk0_2)=k16_cat_2(sk0_1,sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1653,plain,(
% 12.16/1.97    k8_isocat_2(sk0_1,sk0_2)=k16_cat_2(sk0_1,sk0_2)|~spl0_278),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1652])).
% 12.16/1.97  fof(f1655,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|k8_isocat_2(sk0_1,sk0_2)=k16_cat_2(sk0_1,sk0_2)|~spl0_160),
% 12.16/1.97    inference(resolution,[status(thm)],[f1023,f59])).
% 12.16/1.97  fof(f1656,plain,(
% 12.16/1.97    ~spl0_2|spl0_278|~spl0_160),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1655,f172,f1652,f1022])).
% 12.16/1.97  fof(f1932,plain,(
% 12.16/1.97    spl0_334 <=> m2_cat_1(k16_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_1)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f1933,plain,(
% 12.16/1.97    m2_cat_1(k16_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_1)|~spl0_334),
% 12.16/1.97    inference(component_clause,[status(thm)],[f1932])).
% 12.16/1.97  fof(f1935,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|m2_cat_1(k16_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_1)|~spl0_146),
% 12.16/1.97    inference(resolution,[status(thm)],[f929,f59])).
% 12.16/1.97  fof(f1936,plain,(
% 12.16/1.97    ~spl0_2|spl0_334|~spl0_146),
% 12.16/1.97    inference(split_clause,[status(thm)],[f1935,f172,f1932,f928])).
% 12.16/1.97  fof(f2002,plain,(
% 12.16/1.97    spl0_348 <=> k9_isocat_2(sk0_1,sk0_2)=k17_cat_2(sk0_1,sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f2003,plain,(
% 12.16/1.97    k9_isocat_2(sk0_1,sk0_2)=k17_cat_2(sk0_1,sk0_2)|~spl0_348),
% 12.16/1.97    inference(component_clause,[status(thm)],[f2002])).
% 12.16/1.97  fof(f2005,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|k9_isocat_2(sk0_1,sk0_2)=k17_cat_2(sk0_1,sk0_2)|~spl0_174),
% 12.16/1.97    inference(resolution,[status(thm)],[f1093,f59])).
% 12.16/1.97  fof(f2006,plain,(
% 12.16/1.97    ~spl0_2|spl0_348|~spl0_174),
% 12.16/1.97    inference(split_clause,[status(thm)],[f2005,f172,f2002,f1092])).
% 12.16/1.97  fof(f2212,plain,(
% 12.16/1.97    spl0_390 <=> m2_cat_1(k17_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f2213,plain,(
% 12.16/1.97    m2_cat_1(k17_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_2)|~spl0_390),
% 12.16/1.97    inference(component_clause,[status(thm)],[f2212])).
% 12.16/1.97  fof(f2215,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|m2_cat_1(k17_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_2)|~spl0_202),
% 12.16/1.97    inference(resolution,[status(thm)],[f1233,f59])).
% 12.16/1.97  fof(f2216,plain,(
% 12.16/1.97    ~spl0_2|spl0_390|~spl0_202),
% 12.16/1.97    inference(split_clause,[status(thm)],[f2215,f172,f2212,f1232])).
% 12.16/1.97  fof(f3113,plain,(
% 12.16/1.97    k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k16_cat_2(sk0_1,sk0_2))|~spl0_278|~spl0_242),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f1653,f1457])).
% 12.16/1.97  fof(f3184,plain,(
% 12.16/1.97    k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k16_cat_2(sk0_1,sk0_2))|~spl0_278|~spl0_243),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f1653,f1462])).
% 12.16/1.97  fof(f3185,plain,(
% 12.16/1.97    k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k17_cat_2(sk0_1,sk0_2))|~spl0_348|~spl0_244),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f2003,f1467])).
% 12.16/1.97  fof(f3186,plain,(
% 12.16/1.97    k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4)=k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k17_cat_2(sk0_1,sk0_2))|~spl0_348|~spl0_245),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f2003,f1472])).
% 12.16/1.97  fof(f4722,plain,(
% 12.16/1.97    spl0_858 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f4723,plain,(
% 12.16/1.97    v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_858),
% 12.16/1.97    inference(component_clause,[status(thm)],[f4722])).
% 12.16/1.97  fof(f4736,plain,(
% 12.16/1.97    $false|~spl0_858),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f4723,f88])).
% 12.16/1.97  fof(f4737,plain,(
% 12.16/1.97    ~spl0_858),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f4736])).
% 12.16/1.97  fof(f12818,plain,(
% 12.16/1.97    spl0_2260 <=> ~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_1)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f12819,plain,(
% 12.16/1.97    ![X0]: (~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_1)|~spl0_2260)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f12818])).
% 12.16/1.97  fof(f12821,plain,(
% 12.16/1.97    spl0_2261 <=> r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_1,k16_cat_2(sk0_1,sk0_2),k16_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f12822,plain,(
% 12.16/1.97    r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_1,k16_cat_2(sk0_1,sk0_2),k16_cat_2(sk0_1,sk0_2))|~spl0_2261),
% 12.16/1.97    inference(component_clause,[status(thm)],[f12821])).
% 12.16/1.97  fof(f12824,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(k11_cat_2(sk0_1,sk0_2))|~l1_cat_1(k11_cat_2(sk0_1,sk0_2))|~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_1)|r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_1,k16_cat_2(sk0_1,sk0_2),k16_cat_2(sk0_1,sk0_2))|~spl0_334)),
% 12.16/1.97    inference(resolution,[status(thm)],[f1933,f138])).
% 12.16/1.97  fof(f12825,plain,(
% 12.16/1.97    ~spl0_12|~spl0_13|~spl0_4|~spl0_17|spl0_2260|spl0_2261|~spl0_334),
% 12.16/1.97    inference(split_clause,[status(thm)],[f12824,f220,f223,f180,f239,f12818,f12821,f1932])).
% 12.16/1.97  fof(f12828,plain,(
% 12.16/1.97    $false|~spl0_2260|~spl0_334),
% 12.16/1.97    inference(backward_subsumption_resolution,[status(thm)],[f1933,f12819])).
% 12.16/1.97  fof(f12829,plain,(
% 12.16/1.97    ~spl0_2260|~spl0_334),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f12828])).
% 12.16/1.97  fof(f12830,plain,(
% 12.16/1.97    spl0_2262 <=> r2_nattra_1(sk0_0,sk0_1,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k16_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k16_cat_2(sk0_1,sk0_2)))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f12831,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,sk0_1,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k16_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k16_cat_2(sk0_1,sk0_2)))|~spl0_2262),
% 12.16/1.97    inference(component_clause,[status(thm)],[f12830])).
% 12.16/1.97  fof(f12833,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_1)|~l1_cat_1(sk0_1)|~m2_cat_1(k16_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_1)|~m2_cat_1(k16_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_1)|r2_nattra_1(sk0_0,sk0_1,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_3,k16_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k16_cat_2(sk0_1,sk0_2)))|~spl0_2261|~spl0_250),
% 12.16/1.97    inference(resolution,[status(thm)],[f12822,f1493])).
% 12.16/1.97  fof(f12834,plain,(
% 12.16/1.97    ~spl0_4|~spl0_17|~spl0_334|spl0_2262|~spl0_2261|~spl0_250),
% 12.16/1.97    inference(split_clause,[status(thm)],[f12833,f180,f239,f1932,f12830,f12821,f1492])).
% 12.16/1.97  fof(f12850,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_1,sk0_4,k16_cat_2(sk0_1,sk0_2)))|~spl0_278|~spl0_242|~spl0_2262),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f3113,f12831])).
% 12.16/1.97  fof(f12851,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,sk0_1,k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k11_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|~spl0_243|~spl0_278|~spl0_242|~spl0_2262),
% 12.16/1.97    inference(forward_demodulation,[status(thm)],[f3184,f12850])).
% 12.16/1.97  fof(f12852,plain,(
% 12.16/1.97    $false|spl0_0|~spl0_243|~spl0_278|~spl0_242|~spl0_2262),
% 12.16/1.97    inference(forward_subsumption_resolution,[status(thm)],[f12851,f167])).
% 12.16/1.97  fof(f12853,plain,(
% 12.16/1.97    spl0_0|~spl0_243|~spl0_278|~spl0_242|~spl0_2262),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f12852])).
% 12.16/1.97  fof(f13636,plain,(
% 12.16/1.97    spl0_2319 <=> ~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_2)),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f13637,plain,(
% 12.16/1.97    ![X0]: (~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_2)|~spl0_2319)),
% 12.16/1.97    inference(component_clause,[status(thm)],[f13636])).
% 12.16/1.97  fof(f13639,plain,(
% 12.16/1.97    spl0_2320 <=> r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_2,k17_cat_2(sk0_1,sk0_2),k17_cat_2(sk0_1,sk0_2))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f13640,plain,(
% 12.16/1.97    r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_2,k17_cat_2(sk0_1,sk0_2),k17_cat_2(sk0_1,sk0_2))|~spl0_2320),
% 12.16/1.97    inference(component_clause,[status(thm)],[f13639])).
% 12.16/1.97  fof(f13642,plain,(
% 12.16/1.97    ![X0]: (~v2_cat_1(k11_cat_2(sk0_1,sk0_2))|~l1_cat_1(k11_cat_2(sk0_1,sk0_2))|~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|~m2_cat_1(X0,k11_cat_2(sk0_1,sk0_2),sk0_2)|r2_nattra_1(k11_cat_2(sk0_1,sk0_2),sk0_2,k17_cat_2(sk0_1,sk0_2),k17_cat_2(sk0_1,sk0_2))|~spl0_390)),
% 12.16/1.97    inference(resolution,[status(thm)],[f2213,f138])).
% 12.16/1.97  fof(f13643,plain,(
% 12.16/1.97    ~spl0_12|~spl0_13|~spl0_2|~spl0_18|spl0_2319|spl0_2320|~spl0_390),
% 12.16/1.97    inference(split_clause,[status(thm)],[f13642,f220,f223,f172,f242,f13636,f13639,f2212])).
% 12.16/1.97  fof(f13646,plain,(
% 12.16/1.97    $false|~spl0_2319|~spl0_390),
% 12.16/1.97    inference(backward_subsumption_resolution,[status(thm)],[f2213,f13637])).
% 12.16/1.97  fof(f13647,plain,(
% 12.16/1.97    ~spl0_2319|~spl0_390),
% 12.16/1.97    inference(contradiction_clause,[status(thm)],[f13646])).
% 12.16/1.97  fof(f13648,plain,(
% 12.16/1.97    spl0_2321 <=> r2_nattra_1(sk0_0,sk0_2,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k17_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k17_cat_2(sk0_1,sk0_2)))),
% 12.16/1.97    introduced(split_symbol_definition)).
% 12.16/1.97  fof(f13649,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,sk0_2,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k17_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k17_cat_2(sk0_1,sk0_2)))|~spl0_2321),
% 12.16/1.97    inference(component_clause,[status(thm)],[f13648])).
% 12.16/1.97  fof(f13651,plain,(
% 12.16/1.97    ~v2_cat_1(sk0_2)|~l1_cat_1(sk0_2)|~m2_cat_1(k17_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_2)|~m2_cat_1(k17_cat_2(sk0_1,sk0_2),k11_cat_2(sk0_1,sk0_2),sk0_2)|r2_nattra_1(sk0_0,sk0_2,k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_3,k17_cat_2(sk0_1,sk0_2)),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k17_cat_2(sk0_1,sk0_2)))|~spl0_2320|~spl0_250),
% 12.16/1.97    inference(resolution,[status(thm)],[f13640,f1493])).
% 12.16/1.97  fof(f13652,plain,(
% 12.16/1.97    ~spl0_2|~spl0_18|~spl0_390|spl0_2321|~spl0_2320|~spl0_250),
% 12.16/1.97    inference(split_clause,[status(thm)],[f13651,f172,f242,f2212,f13648,f13639,f1492])).
% 12.16/1.97  fof(f13668,plain,(
% 12.16/1.97    r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k2_isocat_1(sk0_0,k11_cat_2(sk0_1,sk0_2),sk0_2,sk0_4,k17_cat_2(sk0_1,sk0_2)))|~spl0_348|~spl0_244|~spl0_2321),
% 12.76/1.99    inference(forward_demodulation,[status(thm)],[f3185,f13649])).
% 12.76/1.99  fof(f13669,plain,(
% 12.76/1.99    r2_nattra_1(sk0_0,sk0_2,k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_3),k12_isocat_2(sk0_0,sk0_1,sk0_2,sk0_4))|~spl0_245|~spl0_348|~spl0_244|~spl0_2321),
% 12.76/1.99    inference(forward_demodulation,[status(thm)],[f3186,f13668])).
% 12.76/1.99  fof(f13670,plain,(
% 12.76/1.99    $false|spl0_1|~spl0_245|~spl0_348|~spl0_244|~spl0_2321),
% 12.76/1.99    inference(forward_subsumption_resolution,[status(thm)],[f13669,f170])).
% 12.76/1.99  fof(f13671,plain,(
% 12.76/1.99    spl0_1|~spl0_245|~spl0_348|~spl0_244|~spl0_2321),
% 12.76/1.99    inference(contradiction_clause,[status(thm)],[f13670])).
% 12.76/1.99  fof(f13672,plain,(
% 12.76/1.99    $false),
% 12.76/1.99    inference(sat_refutation,[status(thm)],[f171,f187,f197,f199,f201,f211,f256,f258,f260,f328,f385,f932,f1026,f1096,f1236,f1460,f1465,f1470,f1475,f1496,f1498,f1500,f1656,f1936,f2006,f2216,f4737,f12825,f12829,f12834,f12853,f13643,f13647,f13652,f13671])).
% 12.76/1.99  % SZS output end CNFRefutation for theBenchmark.p
% 12.76/2.02  % Elapsed time: 1.647628 seconds
% 12.76/2.02  % CPU time: 12.865146 seconds
% 12.76/2.02  % Total memory used: 181.930 MB
% 12.76/2.02  % Net memory used: 178.962 MB
%------------------------------------------------------------------------------