%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:56:02 AM UTC 2026
% Result : Theorem 34.81s 4.74s
% Output : CNFRefutation 34.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 152 ( 35 unt; 0 def)
% Number of atoms : 635 ( 74 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 884 ( 401 ~; 392 |; 58 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 185 ( 1 sgn 40 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k8_isocat_2,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> m2_cat_1(k8_isocat_2(A,B),k11_cat_2(A,B),A) ),
file('theBenchmark.p',dt_k8_isocat_2) ).
fof(dt_k9_isocat_2,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> m2_cat_1(k9_isocat_2(A,B),k11_cat_2(A,B),B) ),
file('theBenchmark.p',dt_k9_isocat_2) ).
fof(reflexivity_r2_nattra_1,axiom,
! [A,B,C,D] :
( ( m2_cat_1(D,A,B)
& m2_cat_1(C,A,B)
& l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> r2_nattra_1(A,B,C,C) ),
file('theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(redefinition_k2_isocat_1,axiom,
! [A,B,C,D,E] :
( ( m2_cat_1(E,B,C)
& m2_cat_1(D,A,B)
& l1_cat_1(C)
& v2_cat_1(C)
& l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> k2_isocat_1(A,B,C,D,E) = k5_relat_1(D,E) ),
file('theBenchmark.p',redefinition_k2_isocat_1) ).
fof(dt_k11_cat_2,axiom,
! [A,B] :
( ( l1_cat_1(B)
& v2_cat_1(B)
& l1_cat_1(A)
& v2_cat_1(A) )
=> ( l1_cat_1(k11_cat_2(A,B))
& v2_cat_1(k11_cat_2(A,B)) ) ),
file('theBenchmark.p',dt_k11_cat_2) ).
fof(d7_isocat_2,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_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)) ) ) ) ),
file('theBenchmark.p',d7_isocat_2) ).
fof(d8_isocat_2,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_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)) ) ) ) ),
file('theBenchmark.p',d8_isocat_2) ).
fof(t27_isocat_1,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_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(B,C,F,G)
& r2_nattra_1(A,B,D,E) )
=> r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G)) ) ) ) ) ) ) ) ),
file('theBenchmark.p',t27_isocat_1) ).
fof(t38_isocat_2,conjecture,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_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,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))
& r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) ) ) ) ) ) ) ),
file('theBenchmark.p',t38_isocat_2) ).
fof(t38_isocat_2_neg,negated_conjecture,
~ ! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( ( l1_cat_1(C)
& v2_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,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))
& r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_isocat_2]) ).
fof(nnf_49,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ( ~ r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))
| ~ r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) )
& r2_nattra_1(A,k11_cat_2(B,C),D,E)
& m2_cat_1(E,A,k11_cat_2(B,C)) )
& m2_cat_1(D,A,k11_cat_2(B,C)) )
& l1_cat_1(C)
& v2_cat_1(C) )
& l1_cat_1(B)
& v2_cat_1(B) )
& l1_cat_1(A)
& v2_cat_1(A) ),
inference(fof_nnf,[status(thm)],[t38_isocat_2_neg]) ).
fof(sk_t38_isocat_2_neg,plain,
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK0)
& v2_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(A,sK0),skolemize(B,sK1),skolemize(C,sK2),skolemize(D,sK3),skolemize(E,sK4)],[nnf_49]) ).
cnf(c_64,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_65,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_66,negated_conjecture,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_67,negated_conjecture,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_68,negated_conjecture,
l1_cat_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_69,negated_conjecture,
v2_cat_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_70,negated_conjecture,
l1_cat_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_71,negated_conjecture,
v2_cat_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_72,negated_conjecture,
l1_cat_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_73,negated_conjecture,
v2_cat_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t38_isocat_2_neg]) ).
cnf(c_74,plain,
( r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,V6))
| ~ r2_nattra_1(B,C,F,V6)
| ~ r2_nattra_1(A,B,D,E)
| ~ m2_cat_1(V6,B,C)
| ~ m2_cat_1(F,B,C)
| ~ m2_cat_1(E,A,B)
| ~ m2_cat_1(D,A,B)
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[t27_isocat_1]) ).
cnf(c_75,plain,
( k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)) = k12_isocat_2(A,B,C,D)
| ~ m2_cat_1(D,A,k11_cat_2(B,C))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[d8_isocat_2]) ).
cnf(c_76,plain,
( k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)) = k11_isocat_2(A,B,C,D)
| ~ m2_cat_1(D,A,k11_cat_2(B,C))
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[d7_isocat_2]) ).
cnf(c_80,plain,
( l1_cat_1(k11_cat_2(A,B))
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[dt_k11_cat_2]) ).
cnf(c_81,plain,
( v2_cat_1(k11_cat_2(A,B))
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[dt_k11_cat_2]) ).
cnf(c_82,plain,
( k2_isocat_1(A,B,C,D,E) = k5_relat_1(D,E)
| ~ m2_cat_1(E,B,C)
| ~ m2_cat_1(D,A,B)
| ~ l1_cat_1(C)
| ~ v2_cat_1(C)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[redefinition_k2_isocat_1]) ).
cnf(c_85,plain,
( r2_nattra_1(A,B,C,C)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,A,B)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[reflexivity_r2_nattra_1]) ).
cnf(c_87,plain,
( m2_cat_1(k9_isocat_2(A,B),k11_cat_2(A,B),B)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[dt_k9_isocat_2]) ).
cnf(c_88,plain,
( m2_cat_1(k8_isocat_2(A,B),k11_cat_2(A,B),A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(clausify,[status(thm)],[dt_k8_isocat_2]) ).
cnf(c_150,plain,
( r2_nattra_1(A,B,C,C)
| ~ m2_cat_1(C,A,B)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(factor,[status(thm)],[c_85]) ).
cnf(c_9939,negated_conjecture,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,C))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_74,c_65]) ).
cnf(c_9940,negated_conjecture,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,C))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_73,c_9939]) ).
cnf(c_9941,negated_conjecture,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,C))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_72,c_9940]) ).
cnf(c_9942,negated_conjecture,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,C))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_67,c_9941]) ).
cnf(c_189,negated_conjecture,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,C))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_66,c_9942]) ).
cnf(c_192,plain,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,B))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(factor,[status(thm)],[c_189]) ).
cnf(c_9943,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_75,c_67]) ).
cnf(c_9944,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_73,c_9943]) ).
cnf(c_9945,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_72,c_9944]) ).
cnf(c_9946,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_9945]) ).
cnf(c_9947,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_70,c_9946]) ).
cnf(c_9948,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_9947]) ).
cnf(c_197,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3),
inference(resolve,[status(thm)],[c_68,c_9948]) ).
cnf(c_9949,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_75,c_66]) ).
cnf(c_9950,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_73,c_9949]) ).
cnf(c_9951,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_72,c_9950]) ).
cnf(c_9952,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_9951]) ).
cnf(c_9953,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_70,c_9952]) ).
cnf(c_9954,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_9953]) ).
cnf(c_198,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4),
inference(resolve,[status(thm)],[c_68,c_9954]) ).
cnf(c_9955,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_76,c_67]) ).
cnf(c_9956,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_73,c_9955]) ).
cnf(c_9957,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_72,c_9956]) ).
cnf(c_9958,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_9957]) ).
cnf(c_9959,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_70,c_9958]) ).
cnf(c_9960,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_9959]) ).
cnf(c_199,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3),
inference(resolve,[status(thm)],[c_68,c_9960]) ).
cnf(c_9961,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_76,c_66]) ).
cnf(c_9962,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_73,c_9961]) ).
cnf(c_9963,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_72,c_9962]) ).
cnf(c_9964,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_9963]) ).
cnf(c_9965,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_70,c_9964]) ).
cnf(c_9966,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_9965]) ).
cnf(c_200,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4),
inference(resolve,[status(thm)],[c_68,c_9966]) ).
cnf(c_9967,negated_conjecture,
( l1_cat_1(k11_cat_2(sK1,A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_80,c_71]) ).
cnf(c_9968,negated_conjecture,
( l1_cat_1(k11_cat_2(sK1,A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9967,c_70]) ).
cnf(c_9969,negated_conjecture,
( l1_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9968,c_69]) ).
cnf(c_224,negated_conjecture,
l1_cat_1(k11_cat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_9969,c_68]) ).
cnf(c_240,plain,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,B))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_224,c_192]) ).
cnf(c_9970,negated_conjecture,
( v2_cat_1(k11_cat_2(sK1,A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_81,c_71]) ).
cnf(c_9971,negated_conjecture,
( v2_cat_1(k11_cat_2(sK1,A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9970,c_70]) ).
cnf(c_9972,negated_conjecture,
( v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9971,c_69]) ).
cnf(c_257,negated_conjecture,
v2_cat_1(k11_cat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_9972,c_68]) ).
cnf(c_266,plain,
( r2_nattra_1(sK0,A,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK3,B),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,sK4,B))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),A,B,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_257,c_240]) ).
cnf(c_9973,negated_conjecture,
( m2_cat_1(k9_isocat_2(sK1,A),k11_cat_2(sK1,A),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_87,c_71]) ).
cnf(c_9974,negated_conjecture,
( m2_cat_1(k9_isocat_2(sK1,A),k11_cat_2(sK1,A),A)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9973,c_70]) ).
cnf(c_9975,negated_conjecture,
( m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9974,c_69]) ).
cnf(c_313,negated_conjecture,
m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2),
inference(resolve,[status(thm)],[c_9975,c_68]) ).
cnf(c_9976,negated_conjecture,
( m2_cat_1(k8_isocat_2(sK1,A),k11_cat_2(sK1,A),sK1)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_88,c_71]) ).
cnf(c_9977,negated_conjecture,
( m2_cat_1(k8_isocat_2(sK1,A),k11_cat_2(sK1,A),sK1)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9976,c_70]) ).
cnf(c_9978,negated_conjecture,
( m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9977,c_69]) ).
cnf(c_328,negated_conjecture,
m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1),
inference(resolve,[status(thm)],[c_9978,c_68]) ).
cnf(c_9979,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_313,c_150]) ).
cnf(c_9980,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_257,c_9979]) ).
cnf(c_9981,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_224,c_9980]) ).
cnf(c_9982,negated_conjecture,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_9981]) ).
cnf(c_5220,negated_conjecture,
r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_68,c_9982]) ).
cnf(c_9983,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_82,c_73]) ).
cnf(c_9984,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9983,c_72]) ).
cnf(c_9985,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_9984,c_257]) ).
cnf(c_9986,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9985,c_224]) ).
cnf(c_9987,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9986,c_69]) ).
cnf(c_9988,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_9987,c_68]) ).
cnf(c_9989,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,A) = k5_relat_1(sK3,A)
| ~ m2_cat_1(A,k11_cat_2(sK1,sK2),sK2) ),
inference(resolve,[status(thm)],[c_9988,c_67]) ).
cnf(c_9990,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_9989,c_313]) ).
cnf(c_5236,negated_conjecture,
k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_197,c_9990]) ).
cnf(c_9991,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_82,c_73]) ).
cnf(c_9992,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9991,c_72]) ).
cnf(c_9993,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_9992,c_257]) ).
cnf(c_9994,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_9993,c_224]) ).
cnf(c_9995,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_9994,c_69]) ).
cnf(c_9996,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_9995,c_68]) ).
cnf(c_9997,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,A) = k5_relat_1(sK4,A)
| ~ m2_cat_1(A,k11_cat_2(sK1,sK2),sK2) ),
inference(resolve,[status(thm)],[c_9996,c_66]) ).
cnf(c_9998,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_9997,c_313]) ).
cnf(c_5237,negated_conjecture,
k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_198,c_9998]) ).
cnf(c_5274,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_5236,c_197]) ).
cnf(c_9999,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(paramod,[status(thm)],[c_5236,c_64]) ).
cnf(c_5275,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(paramod,[status(thm)],[c_5237,c_9999]) ).
cnf(c_5306,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_5237,c_198]) ).
cnf(c_10000,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_328,c_150]) ).
cnf(c_10001,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_257,c_10000]) ).
cnf(c_10002,plain,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_224,c_10001]) ).
cnf(c_10003,negated_conjecture,
( r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_10002]) ).
cnf(c_5920,negated_conjecture,
r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_70,c_10003]) ).
cnf(c_10004,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_82,c_73]) ).
cnf(c_10005,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_10004,c_72]) ).
cnf(c_10006,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_10005,c_257]) ).
cnf(c_10007,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_10006,c_224]) ).
cnf(c_10008,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_10007,c_71]) ).
cnf(c_10009,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_10008,c_70]) ).
cnf(c_10010,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,A) = k5_relat_1(sK3,A)
| ~ m2_cat_1(A,k11_cat_2(sK1,sK2),sK1) ),
inference(resolve,[status(thm)],[c_10009,c_67]) ).
cnf(c_10011,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_10010,c_328]) ).
cnf(c_5936,negated_conjecture,
k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_199,c_10011]) ).
cnf(c_10012,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(sK0) ),
inference(resolve,[status(thm)],[c_82,c_73]) ).
cnf(c_10013,negated_conjecture,
( k2_isocat_1(sK0,A,B,C,D) = k5_relat_1(C,D)
| ~ m2_cat_1(D,A,B)
| ~ m2_cat_1(C,sK0,A)
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_10012,c_72]) ).
cnf(c_10014,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A)
| ~ l1_cat_1(k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_10013,c_257]) ).
cnf(c_10015,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),A,B,C) = k5_relat_1(B,C)
| ~ m2_cat_1(C,k11_cat_2(sK1,sK2),A)
| ~ m2_cat_1(B,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(resolve,[status(thm)],[c_10014,c_224]) ).
cnf(c_10016,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_10015,c_71]) ).
cnf(c_10017,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,A,B) = k5_relat_1(A,B)
| ~ m2_cat_1(B,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(A,sK0,k11_cat_2(sK1,sK2)) ),
inference(resolve,[status(thm)],[c_10016,c_70]) ).
cnf(c_10018,negated_conjecture,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,A) = k5_relat_1(sK4,A)
| ~ m2_cat_1(A,k11_cat_2(sK1,sK2),sK1) ),
inference(resolve,[status(thm)],[c_10017,c_66]) ).
cnf(c_10019,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)),
inference(resolve,[status(thm)],[c_10018,c_328]) ).
cnf(c_5937,negated_conjecture,
k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_200,c_10019]) ).
cnf(c_10020,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(paramod,[status(thm)],[c_5936,c_5275]) ).
cnf(c_5952,negated_conjecture,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2))) ),
inference(paramod,[status(thm)],[c_5937,c_10020]) ).
cnf(c_5983,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_5936,c_199]) ).
cnf(c_6022,negated_conjecture,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)),
inference(paramod,[status(thm)],[c_5937,c_200]) ).
cnf(c_10021,plain,
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_5220,c_266]) ).
cnf(c_10022,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(paramod,[status(thm)],[c_5274,c_10021]) ).
cnf(c_10023,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) ),
inference(paramod,[status(thm)],[c_5306,c_10022]) ).
cnf(c_10024,negated_conjecture,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2) ),
inference(resolve,[status(thm)],[c_69,c_10023]) ).
cnf(c_10025,negated_conjecture,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2) ),
inference(resolve,[status(thm)],[c_68,c_10024]) ).
cnf(c_9776,negated_conjecture,
r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k9_isocat_2(sK1,sK2)),k5_relat_1(sK4,k9_isocat_2(sK1,sK2))),
inference(resolve,[status(thm)],[c_313,c_10025]) ).
cnf(c_9792,negated_conjecture,
~ r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2))),
inference(resolve,[status(thm)],[c_9776,c_5952]) ).
cnf(c_10026,plain,
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_5920,c_266]) ).
cnf(c_10027,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(paramod,[status(thm)],[c_5983,c_10026]) ).
cnf(c_10028,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) ),
inference(paramod,[status(thm)],[c_6022,c_10027]) ).
cnf(c_10029,negated_conjecture,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1) ),
inference(resolve,[status(thm)],[c_71,c_10028]) ).
cnf(c_10030,negated_conjecture,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2)))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1) ),
inference(resolve,[status(thm)],[c_70,c_10029]) ).
cnf(c_10031,negated_conjecture,
r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k8_isocat_2(sK1,sK2)),k5_relat_1(sK4,k8_isocat_2(sK1,sK2))),
inference(resolve,[status(thm)],[c_328,c_10030]) ).
cnf(c_9938,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_9792,c_10031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 22:53:08 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.30 % Process 1683012 was started by sandbox on n012,
% 0.03/0.30 % Sat Sep 26 22:53:08 2026
% 0.03/0.30 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.03/0.30
% 0.03/0.30 % From the command line: assign(max_seconds, 300).
% 34.81/4.74
% 34.81/4.74 % SZS status Theorem for theBenchmark
% 34.81/4.74
% 34.81/4.74 % Proof 1 at 4.16 (+ 0.16) seconds.
% 34.81/4.74 % Length of proof is 56.
% 34.81/4.74 % Level of proof is 8.
% 34.81/4.74 % Maximum clause weight is 65.000.
% 34.81/4.74 % Given clauses 459.
% 34.81/4.74
% 34.81/4.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------