%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 : Fri Sep 25 01:01:14 PM UTC 2026
% Result : Theorem 8.50s 1.94s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of formulae : 122 ( 28 unt; 0 def)
% Number of atoms : 610 ( 36 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 887 ( 399 ~; 382 |; 71 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-5 aty)
% Number of variables : 203 ( 0 sgn 190 !; 13 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k16_cat_2) ).
fof(f13,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_cat_2) ).
fof(f31,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k8_isocat_2(X0,X1) = k16_cat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_isocat_2) ).
fof(f32,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k9_isocat_2(X0,X1) = k17_cat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_isocat_2) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( m2_cat_1(X3,X0,X1)
& m2_cat_1(X2,X0,X1)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f41,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(f43,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f49,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( 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)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f50,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( 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)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f51,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X1,X2,X5,X6)
& r2_nattra_1(X0,X1,X3,X4) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f52,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
& ? [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f53,plain,
? [X0] :
( l1_cat_1(X0)
& v2_cat_1(X0)
& ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
& ? [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f55,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ? [X2] : m2_cat_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f57,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ? [X2] : m2_cat_1(X2,X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ 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)) ) ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ 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)) ) ) ) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ 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)) ) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f63,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ 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)) ) ) ) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ m2_cat_1(X3,X0,X1)
| ! [X4] :
( ~ m2_cat_1(X4,X0,X1)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X2)
| ! [X6] :
( ~ m2_cat_1(X6,X1,X2)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f67,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ m2_cat_1(X3,X0,X1)
| ! [X4] :
( ~ m2_cat_1(X4,X0,X1)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X2)
| ! [X6] :
( ~ m2_cat_1(X6,X1,X2)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| r2_nattra_1(X0,X1,X2,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| r2_nattra_1(X0,X1,X2,X2) ),
inference(flattening,[],[f68]) ).
fof(f73,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k8_isocat_2(X0,X1) = k16_cat_2(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f74,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k8_isocat_2(X0,X1) = k16_cat_2(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f79,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k9_isocat_2(X0,X1) = k17_cat_2(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k9_isocat_2(X0,X1) = k17_cat_2(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f82,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f84,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
( l1_cat_1(sK0)
& v2_cat_1(sK0)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& ( ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f53]) ).
fof(f86,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(sK5(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f57]) ).
fof(f90,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f91,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f92,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f93,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f94,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f85]) ).
fof(f95,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f85]) ).
fof(f96,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f85]) ).
fof(f97,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f85]) ).
fof(f98,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f85]) ).
fof(f99,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)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f100,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| l1_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f101,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f102,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(sK5(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_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)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_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)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_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(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| r2_nattra_1(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f112,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,X1) = k8_isocat_2(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f115,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,X1) = k9_isocat_2(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f118,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f119,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_49,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(cnf_transformation,[],[f99]) ).
tcf(c_50,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f98]) ).
tcf(c_51,negated_conjecture,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f97]) ).
tcf(c_52,negated_conjecture,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f96]) ).
tcf(c_53,negated_conjecture,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f95]) ).
tcf(c_54,negated_conjecture,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f94]) ).
tcf(c_55,negated_conjecture,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f93]) ).
tcf(c_56,negated_conjecture,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f92]) ).
tcf(c_57,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f91]) ).
tcf(c_58,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f90]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(sK5(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X0,k8_isocat_2(X2,X3)) = k11_isocat_2(X1,X2,X3,X0) )
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,k11_cat_2(X2,X3)) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X0,k9_isocat_2(X2,X3)) = k12_isocat_2(X1,X2,X3,X0) )
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,k11_cat_2(X2,X3)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( r2_nattra_1(X0,X4,k2_isocat_1(X0,X1,X4,X2,X5),k2_isocat_1(X0,X1,X4,X3,X6))
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X6,X1,X4)
| ~ m2_cat_1(X5,X1,X4)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ r2_nattra_1(X1,X4,X5,X6)
| ~ r2_nattra_1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_nattra_1(X1,X2,X0,X0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( k8_isocat_2(X0,X1) = k16_cat_2(X0,X1) )
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( k9_isocat_2(X0,X1) = k17_cat_2(X0,X1) )
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_1313,plain,
! [X0: $i] :
( ( k8_isocat_2(sK1,X0) = k16_cat_2(sK1,X0) )
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(superposition,[status(thm)],[c_55,c_71]) ).
tcf(c_1320,plain,
! [X0: $i] :
( ( k8_isocat_2(sK1,X0) = k16_cat_2(sK1,X0) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1313,c_56]) ).
tcf(c_1365,plain,
( ( k8_isocat_2(sK1,sK2) = k16_cat_2(sK1,sK2) )
| ~ l1_cat_1(sK2) ),
inference(superposition,[status(thm)],[c_53,c_1320]) ).
tcf(c_1371,plain,
k8_isocat_2(sK1,sK2) = k16_cat_2(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_1365,c_54]) ).
tcf(c_1400,plain,
! [X0: $i] :
( ( k9_isocat_2(sK1,X0) = k17_cat_2(sK1,X0) )
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(superposition,[status(thm)],[c_55,c_74]) ).
tcf(c_1407,plain,
! [X0: $i] :
( ( k9_isocat_2(sK1,X0) = k17_cat_2(sK1,X0) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1400,c_56]) ).
tcf(c_1456,plain,
( m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_1371,c_77]) ).
tcf(c_1457,plain,
m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_1456,c_54,c_56,c_53,c_55]) ).
tcf(c_1500,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_nattra_1(X1,X2,X0,X0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_68]) ).
tcf(c_1606,plain,
( ( k9_isocat_2(sK1,sK2) = k17_cat_2(sK1,sK2) )
| ~ l1_cat_1(sK2) ),
inference(superposition,[status(thm)],[c_53,c_1407]) ).
tcf(c_1612,plain,
k9_isocat_2(sK1,sK2) = k17_cat_2(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_1606,c_54]) ).
tcf(c_1654,plain,
( ( 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)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_51,c_62]) ).
tcf(c_1655,plain,
( ( 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)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_52,c_62]) ).
tcf(c_1664,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_1655,c_54,c_56,c_58,c_53,c_55,c_57]) ).
tcf(c_1665,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_1654,c_54,c_56,c_58,c_53,c_55,c_57]) ).
tcf(c_1794,plain,
( ( 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)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_51,c_65]) ).
tcf(c_1795,plain,
( ( 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)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0) ),
inference(superposition,[status(thm)],[c_52,c_65]) ).
tcf(c_1804,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_1795,c_54,c_56,c_58,c_53,c_55,c_57]) ).
tcf(c_1805,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_1794,c_54,c_56,c_58,c_53,c_55,c_57]) ).
tcf(c_1952,plain,
( m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_1612,c_78]) ).
tcf(c_1953,plain,
m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_1952,c_54,c_56,c_53,c_55]) ).
tcf(c_1980,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X0))
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X0) ),
inference(superposition,[status(thm)],[c_1664,c_67]) ).
tcf(c_1995,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1980,c_56,c_58,c_55,c_57,c_52,c_1457]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X0))
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X0) ),
inference(superposition,[status(thm)],[c_1804,c_67]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2030,c_54,c_58,c_53,c_57,c_52,c_1953]) ).
tcf(c_2542,plain,
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_1665,c_1995]) ).
tcf(c_2544,plain,
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2542,c_51,c_50,c_1457]) ).
tcf(c_2557,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(superposition,[status(thm)],[c_2544,c_49]) ).
tcf(c_2766,plain,
( v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_3274,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X0)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_2045,c_56,c_55,c_54,c_53,c_2045,c_2766]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X0) ),
inference(renaming,[status(thm)],[c_3274]) ).
tcf(c_3289,plain,
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_1805,c_3275]) ).
tcf(c_3291,plain,
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3289,c_51,c_50,c_1953]) ).
tcf(c_4361,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_3291,c_2557]) ).
tcf(c_4388,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4361,c_56,c_55,c_54,c_53,c_2766,c_4361]) ).
tcf(c_4389,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k8_isocat_2(sK1,sK2)) ),
inference(renaming,[status(thm)],[c_4388]) ).
tcf(c_4396,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_1500,c_4389]) ).
tcf(c_4397,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4396,c_56,c_55,c_1457]) ).
tcf(c_4748,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k9_isocat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4397,c_56,c_55,c_54,c_53,c_2766,c_4397]) ).
tcf(c_4754,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2) ),
inference(superposition,[status(thm)],[c_1500,c_4748]) ).
tcf(c_4755,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4754,c_54,c_53,c_1953]) ).
tcf(c_4758,plain,
~ l1_cat_1(k11_cat_2(sK1,sK2)),
inference(global_subsumption_just,[status(thm)],[c_4755,c_56,c_55,c_54,c_53,c_2766,c_4755]) ).
tcf(c_4760,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1) ),
inference(superposition,[status(thm)],[c_60,c_4758]) ).
tcf(c_4761,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4760,c_54,c_56,c_53,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.41 % Computer : n014.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Fri Sep 25 07:01:47 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49
% 0.17/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.49
% 0.17/0.49 % Detected problem language: tptp
% 0.22/0.50 % Proving...
% 8.50/1.94 % SZS status Started for theBenchmark.p
% 8.50/1.94 % SZS status Theorem for theBenchmark.p
% 8.50/1.94
% 8.50/1.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.50/1.94
% 8.50/1.94 % ------ iProver source info
% 8.50/1.94
% 8.50/1.94 % git: date: 2026-07-19 20:42:38 +0200
% 8.50/1.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.50/1.94 % git: non_committed_changes: false
% 8.50/1.94
% 8.50/1.94 % ------ Parsing...
% 8.50/1.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.50/1.94
% 8.50/1.94 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.50/1.94
% 8.50/1.94 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.50/1.94
% 8.50/1.94 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.50/1.94 % ------ Proving...
% 8.50/1.94 % ------ Problem Properties
% 8.50/1.94
% 8.50/1.94 %
% 8.50/1.94 % clauses 30
% 8.50/1.94 % conjectures 10
% 8.50/1.94 % EPR 11
% 8.50/1.94 % Horn 30
% 8.50/1.94 % unary 12
% 8.50/1.94 % binary 1
% 8.50/1.94 % lits 123
% 8.50/1.94 % lits eq 5
% 8.50/1.94 % fd_pure 0
% 8.50/1.94 % fd_pseudo 0
% 8.50/1.94 % fd_cond 0
% 8.50/1.94 % fd_pseudo_cond 1
% 8.50/1.94 % AC symbols 0
% 8.50/1.94
% 8.50/1.94 % ------ Schedule dynamic 5 is on
% 8.50/1.94
% 8.50/1.94 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.50/1.94
% 8.50/1.94
% 8.50/1.94 % ------
% 8.50/1.94 % Current options:
% 8.50/1.94 % ------
% 8.50/1.94
% 8.50/1.94
% 8.50/1.94 %
% 8.50/1.94
% 8.50/1.94 % ------ Proving...
% 8.50/1.94 %
% 8.50/1.94
% 8.50/1.94 % SZS status Theorem for theBenchmark.p
% 8.50/1.94
% 8.50/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.50/1.94
% 8.50/1.94
%------------------------------------------------------------------------------