%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT028+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:01:15 PM UTC 2026
% Result : Theorem 141.48s 36.51s
% Output : CNFRefutation 141.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 147 ( 44 unt; 0 def)
% Number of atoms : 932 ( 58 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 1439 ( 654 ~; 648 |; 85 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-7 aty)
% Number of variables : 358 ( 0 sgn 342 !; 16 ?; 156 :)
% 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))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_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))
=> ! [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
=> ( ( r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4) )
=> ! [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
=> ! [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
=> ( r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
& r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f30,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f31,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f48,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/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( m2_nattra_1(X6,X0,X1,X3,X4)
& m2_nattra_1(X5,X0,X1,X2,X3)
& m2_cat_1(X4,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) )
=> m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_nattra_1) ).
fof(f61,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/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f63,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))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_isocat_2) ).
fof(f64,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))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ! [X5] :
( m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
=> k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_isocat_2) ).
fof(f65,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,X1,X2)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X0)
=> ! [X7] :
( m2_nattra_1(X7,X1,X2,X3,X4)
=> ! [X8] :
( m2_nattra_1(X8,X1,X2,X4,X5)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X1,X2,X3,X4) )
=> r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_isocat_1) ).
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,k11_cat_2(X1,X2))
& ? [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
& ? [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& ? [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
& ? [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
& ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f68,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))
& ? [X5] :
( m2_cat_1(X5,X0,k11_cat_2(X1,X2))
& r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X5)
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& ? [X6] :
( m2_nattra_1(X6,X0,k11_cat_2(X1,X2),X3,X4)
& ? [X7] :
( m2_nattra_1(X7,X0,k11_cat_2(X1,X2),X4,X5)
& ( ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X2),u1_cat_1(X0),u2_cat_1(X2),k14_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X5),k14_isocat_2(X0,X1,X2,X3,X4,X6),k14_isocat_2(X0,X1,X2,X4,X5,X7)))
| ~ r4_nattra_1(u1_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u2_cat_1(X1),k13_isocat_2(X0,X1,X2,X3,X5,k8_nattra_1(X0,k11_cat_2(X1,X2),X3,X4,X5,X6,X7)),k8_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4),k11_isocat_2(X0,X1,X2,X5),k13_isocat_2(X0,X1,X2,X3,X4,X6),k13_isocat_2(X0,X1,X2,X4,X5,X7))) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f67]) ).
fof(f69,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,[],[f48]) ).
fof(f70,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,[],[f69]) ).
fof(f73,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,X1,X2)
| ! [X4] :
( ~ m2_cat_1(X4,X1,X2)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X2)
| ! [X6] :
( ~ m2_cat_1(X6,X2,X0)
| ! [X7] :
( ~ m2_nattra_1(X7,X1,X2,X3,X4)
| ! [X8] :
( ~ m2_nattra_1(X8,X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f74,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,X1,X2)
| ! [X4] :
( ~ m2_cat_1(X4,X1,X2)
| ! [X5] :
( ~ m2_cat_1(X5,X1,X2)
| ! [X6] :
( ~ m2_cat_1(X6,X2,X0)
| ! [X7] :
( ~ m2_nattra_1(X7,X1,X2,X3,X4)
| ! [X8] :
( ~ m2_nattra_1(X8,X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f73]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,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)
| m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f55]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,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)
| m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
inference(flattening,[],[f81]) ).
fof(f85,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))
| ! [X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f86,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))
| ! [X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ) ) ) ) ) ),
inference(flattening,[],[f85]) ).
fof(f91,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,[],[f61]) ).
fof(f92,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,[],[f91]) ).
fof(f101,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))
| ! [X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f102,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))
| ! [X5] :
( ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ) ) ) ) ) ),
inference(flattening,[],[f101]) ).
fof(f105,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,[],[f62]) ).
fof(f106,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,[],[f105]) ).
fof(f119,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f120,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f122,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(flattening,[],[f121]) ).
fof(f123,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))
& m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2))
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
& ( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f68]) ).
fof(f133,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f123]) ).
fof(f134,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f123]) ).
fof(f135,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f123]) ).
fof(f136,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f123]) ).
fof(f137,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f123]) ).
fof(f138,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f123]) ).
fof(f139,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f123]) ).
fof(f140,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f123]) ).
fof(f141,plain,
m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f123]) ).
fof(f142,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f123]) ).
fof(f143,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f123]) ).
fof(f144,plain,
m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f123]) ).
fof(f145,plain,
m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f123]) ).
fof(f146,plain,
( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ),
inference(cnf_transformation,[],[f123]) ).
fof(f147,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,[],[f70]) ).
fof(f148,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,[],[f70]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X8,X6,X7,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,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X2,X0)
| ~ m2_nattra_1(X7,X1,X2,X3,X4)
| ~ m2_nattra_1(X8,X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X1,X2,X3,X4)
| r4_nattra_1(u1_cat_1(X1),u2_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),k6_isocat_1(X1,X2,X0,X3,X5,k8_nattra_1(X1,X2,X3,X4,X5,X7,X8),X6),k8_nattra_1(X1,X0,k2_isocat_1(X1,X2,X0,X3,X6),k2_isocat_1(X1,X2,X0,X4,X6),k2_isocat_1(X1,X2,X0,X5,X6),k6_isocat_1(X1,X2,X0,X3,X4,X7,X6),k6_isocat_1(X1,X2,X0,X4,X5,X8,X6))) ),
inference(cnf_transformation,[],[f74]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_nattra_1(X6,X0,X1,X3,X4)
| ~ m2_nattra_1(X5,X0,X1,X2,X3)
| ~ m2_cat_1(X4,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)
| m2_nattra_1(k8_nattra_1(X0,X1,X2,X3,X4,X5,X6),X0,X1,X2,X4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f162,plain,
! [X2,X3,X0,X1,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,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k13_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,X4,X5,k8_isocat_2(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f165,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,[],[f92]) ).
fof(f171,plain,
! [X2,X3,X0,X1,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,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ m2_nattra_1(X5,X0,k11_cat_2(X1,X2),X3,X4)
| k14_isocat_2(X0,X1,X2,X3,X4,X5) = k6_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,X4,X5,k9_isocat_2(X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f173,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,[],[f106]) ).
fof(f184,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_49,negated_conjecture,
( ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_50,negated_conjecture,
m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f145]) ).
tcf(c_51,negated_conjecture,
m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f144]) ).
tcf(c_52,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f143]) ).
tcf(c_53,negated_conjecture,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5),
inference(cnf_transformation,[],[f142]) ).
tcf(c_54,negated_conjecture,
m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f141]) ).
tcf(c_55,negated_conjecture,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f140]) ).
tcf(c_56,negated_conjecture,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_57,negated_conjecture,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f138]) ).
tcf(c_58,negated_conjecture,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f137]) ).
tcf(c_59,negated_conjecture,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f136]) ).
tcf(c_60,negated_conjecture,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f135]) ).
tcf(c_61,negated_conjecture,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f134]) ).
tcf(c_62,negated_conjecture,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f133]) ).
tcf(c_63,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,[],[f148]) ).
tcf(c_64,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,[],[f147]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( r4_nattra_1(u1_cat_1(X1),u2_cat_1(X8),u1_cat_1(X1),u2_cat_1(X8),k6_isocat_1(X1,X2,X8,X3,X6,k8_nattra_1(X1,X2,X3,X4,X6,X0,X5),X7),k8_nattra_1(X1,X8,k2_isocat_1(X1,X2,X8,X3,X7),k2_isocat_1(X1,X2,X8,X4,X7),k2_isocat_1(X1,X2,X8,X6,X7),k6_isocat_1(X1,X2,X8,X3,X4,X0,X7),k6_isocat_1(X1,X2,X8,X4,X6,X5,X7)))
| ~ l1_cat_1(X8)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X8)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X2,X8)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ r2_nattra_1(X1,X2,X4,X6)
| ~ r2_nattra_1(X1,X2,X3,X4)
| ~ m2_nattra_1(X5,X1,X2,X4,X6)
| ~ m2_nattra_1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( m2_nattra_1(k8_nattra_1(X1,X2,X3,X4,X6,X0,X5),X1,X2,X3,X6)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_nattra_1(X5,X1,X2,X4,X6)
| ~ m2_nattra_1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X5,X0,k8_isocat_2(X2,X3)) = k13_isocat_2(X1,X2,X3,X4,X5,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(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_81,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,[],[f165]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X5,X0,k9_isocat_2(X2,X3)) = k14_isocat_2(X1,X2,X3,X4,X5,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(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_89,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,[],[f173]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(k8_isocat_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,[],[f184]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(k9_isocat_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,[],[f186]) ).
tcf(c_3870,plain,
( ( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK5,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK5) )
| ~ 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_54,c_81]) ).
tcf(c_3881,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK5,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_3870,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_4048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ 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(sK5,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(superposition,[status(thm)],[c_3881,c_66]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4048,c_60,c_62,c_59,c_61,c_54]) ).
tcf(c_4268,plain,
( ( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5) )
| ~ 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_54,c_89]) ).
tcf(c_4279,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_4268,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_4625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ 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(sK5,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(superposition,[status(thm)],[c_4279,c_66]) ).
tcf(c_4632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4625,c_58,c_62,c_57,c_61,c_54]) ).
tcf(c_8731,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_63]) ).
tcf(c_10198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4055,c_60,c_59,c_58,c_57,c_4055,c_8731]) ).
tcf(c_10199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(renaming,[status(thm)],[c_10198]) ).
tcf(c_11033,plain,
( l1_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_64]) ).
tcf(c_33672,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(instantiation,[status(thm)],[c_100]) ).
tcf(c_33674,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(instantiation,[status(thm)],[c_102]) ).
tcf(c_156229,plain,
( ( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5) )
| ~ 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_54,c_89]) ).
tcf(c_156240,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_156229,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_157205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ 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(sK5,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(superposition,[status(thm)],[c_156240,c_66]) ).
tcf(c_157274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157205,c_58,c_62,c_57,c_61,c_54]) ).
tcf(c_240023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_157274,c_60,c_59,c_58,c_57,c_4632,c_8731,c_11033,c_33674]) ).
tcf(c_240024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(renaming,[status(thm)],[c_240023]) ).
tcf(c_269932,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_50,c_78]) ).
tcf(c_269933,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51,c_78]) ).
tcf(c_269934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6),k8_isocat_2(X2,X3)) = k13_isocat_2(X1,X2,X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6)) )
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ m2_cat_1(X7,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X5,X7)
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_76,c_78]) ).
tcf(c_269935,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_269933,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_56]) ).
tcf(c_269936,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_269932,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_54]) ).
tcf(c_270034,plain,
( ( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK5,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK5) )
| ~ 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_54,c_81]) ).
tcf(c_270035,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_55,c_81]) ).
tcf(c_270036,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_56,c_81]) ).
tcf(c_270038,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_270036,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270039,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_270035,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270040,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK5,k8_isocat_2(sK1,sK2)) = k11_isocat_2(sK0,sK1,sK2,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_270034,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270354,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_50,c_87]) ).
tcf(c_270355,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_51,c_87]) ).
tcf(c_270356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6),k9_isocat_2(X2,X3)) = k14_isocat_2(X1,X2,X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6)) )
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ m2_cat_1(X7,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X5,X7)
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_76,c_87]) ).
tcf(c_270359,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_270355,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_56]) ).
tcf(c_270360,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_270354,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_54]) ).
tcf(c_270458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ 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(sK5,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(superposition,[status(thm)],[c_270040,c_66]) ).
tcf(c_270459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270458,c_60,c_62,c_59,c_61,c_54]) ).
tcf(c_270538,plain,
( ( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5) )
| ~ 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_54,c_89]) ).
tcf(c_270539,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_55,c_89]) ).
tcf(c_270540,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_56,c_89]) ).
tcf(c_270544,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_270540,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270545,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_270539,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270546,plain,
k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK5,k9_isocat_2(sK1,sK2)) = k12_isocat_2(sK0,sK1,sK2,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_270538,c_58,c_60,c_62,c_57,c_59,c_61]) ).
tcf(c_270998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ 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(sK5,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(superposition,[status(thm)],[c_270546,c_66]) ).
tcf(c_271021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270998,c_58,c_62,c_57,c_61,c_54]) ).
tcf(c_271463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6),k8_isocat_2(X2,X3)) = k13_isocat_2(X1,X2,X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6)) )
| ~ 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(X7,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X5,X7)
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269934,c_64,c_63]) ).
tcf(c_271501,plain,
! [X0: $i,X1: $i] :
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0),k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0)) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,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_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),sK4,X1) ),
inference(superposition,[status(thm)],[c_51,c_271463]) ).
tcf(c_271507,plain,
! [X0: $i,X1: $i] :
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0),k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0)) )
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),sK4,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271501,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_56]) ).
tcf(c_274780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( k6_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6),k9_isocat_2(X2,X3)) = k14_isocat_2(X1,X2,X3,X4,X7,k8_nattra_1(X1,k11_cat_2(X2,X3),X4,X5,X7,X0,X6)) )
| ~ 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(X7,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_nattra_1(X6,X1,k11_cat_2(X2,X3),X5,X7)
| ~ m2_nattra_1(X0,X1,k11_cat_2(X2,X3),X4,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270356,c_64,c_63]) ).
tcf(c_274818,plain,
! [X0: $i,X1: $i] :
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0),k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0)) )
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ m2_cat_1(sK4,sK0,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_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),sK4,X1) ),
inference(superposition,[status(thm)],[c_51,c_274780]) ).
tcf(c_274824,plain,
! [X0: $i,X1: $i] :
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0),k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,X1,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,X1,sK6,X0)) )
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),sK4,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274818,c_58,c_60,c_62,c_57,c_59,c_61,c_55,c_56]) ).
tcf(c_275688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_270459,c_60,c_59,c_58,c_57,c_10199,c_11033,c_33672]) ).
tcf(c_275689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k8_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,k8_isocat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X1,X2,X0,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X2,sK5,X3,k8_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(renaming,[status(thm)],[c_275688]) ).
tcf(c_280257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_271021,c_240024]) ).
tcf(c_280258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2,sK5,X0,X3),k9_isocat_2(sK1,sK2)),k8_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,k9_isocat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X1,X2,X0,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X2,sK5,X3,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(X2,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X1,X2)
| ~ m2_nattra_1(X3,sK0,k11_cat_2(sK1,sK2),X2,sK5)
| ~ m2_nattra_1(X0,sK0,k11_cat_2(sK1,sK2),X1,X2) ),
inference(renaming,[status(thm)],[c_280257]) ).
tcf(c_282891,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7),k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)) )
| ~ m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_50,c_271507]) ).
tcf(c_282894,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7),k8_isocat_2(sK1,sK2)) = k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_282891,c_54]) ).
tcf(c_297146,plain,
( ( k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7),k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)) )
| ~ m2_cat_1(sK5,sK0,k11_cat_2(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_50,c_274824]) ).
tcf(c_297149,plain,
k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7),k9_isocat_2(sK1,sK2)) = k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_297146,c_54]) ).
tcf(c_355200,plain,
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_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)),k11_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK4,sK6,k8_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,sK5,sK7,k8_isocat_2(sK1,sK2))))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) ),
inference(superposition,[status(thm)],[c_282894,c_275689]) ).
tcf(c_355258,plain,
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) ),
inference(light_normalisation,[status(thm)],[c_355200,c_270038,c_270039,c_269935,c_269936]) ).
tcf(c_355259,plain,
r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK1),u1_cat_1(sK0),u2_cat_1(sK1),k13_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4),k11_isocat_2(sK0,sK1,sK2,sK5),k13_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k13_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))),
inference(forward_subsumption_resolution,[status(thm)],[c_355258,c_55,c_56,c_53,c_52,c_50,c_51]) ).
tcf(c_373399,plain,
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_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)),k12_isocat_2(sK0,sK1,sK2,sK5),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK4,sK6,k9_isocat_2(sK1,sK2)),k6_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,sK5,sK7,k9_isocat_2(sK1,sK2))))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) ),
inference(superposition,[status(thm)],[c_297149,c_280258]) ).
tcf(c_373452,plain,
( r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ m2_nattra_1(sK7,sK0,k11_cat_2(sK1,sK2),sK4,sK5)
| ~ m2_nattra_1(sK6,sK0,k11_cat_2(sK1,sK2),sK3,sK4) ),
inference(light_normalisation,[status(thm)],[c_373399,c_270544,c_270545,c_270359,c_270360]) ).
tcf(c_373453,plain,
r4_nattra_1(u1_cat_1(sK0),u2_cat_1(sK2),u1_cat_1(sK0),u2_cat_1(sK2),k14_isocat_2(sK0,sK1,sK2,sK3,sK5,k8_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4,sK5,sK6,sK7)),k8_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4),k12_isocat_2(sK0,sK1,sK2,sK5),k14_isocat_2(sK0,sK1,sK2,sK3,sK4,sK6),k14_isocat_2(sK0,sK1,sK2,sK4,sK5,sK7))),
inference(forward_subsumption_resolution,[status(thm)],[c_373452,c_55,c_56,c_53,c_52,c_50,c_51]) ).
tcf(c_373857,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_373453,c_355259,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 07:08:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 141.48/36.51 % SZS status Started for theBenchmark.p
% 141.48/36.51 % SZS status Theorem for theBenchmark.p
% 141.48/36.51
% 141.48/36.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 141.48/36.51
% 141.48/36.51 % ------ iProver source info
% 141.48/36.51
% 141.48/36.51 % git: date: 2026-07-19 20:42:38 +0200
% 141.48/36.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 141.48/36.51 % git: non_committed_changes: false
% 141.48/36.51
% 141.48/36.51 % ------ Parsing...
% 141.48/36.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 141.48/36.51
% 141.48/36.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 141.48/36.51
% 141.48/36.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 141.48/36.51
% 141.48/36.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 141.48/36.51 % ------ Proving...
% 141.48/36.51 % ------ Problem Properties
% 141.48/36.51
% 141.48/36.51 %
% 141.48/36.51 % clauses 54
% 141.48/36.51 % conjectures 14
% 141.48/36.51 % EPR 17
% 141.48/36.51 % Horn 50
% 141.48/36.51 % unary 18
% 141.48/36.51 % binary 3
% 141.48/36.51 % lits 291
% 141.48/36.51 % lits eq 6
% 141.48/36.52 % fd_pure 0
% 141.48/36.52 % fd_pseudo 0
% 141.48/36.52 % fd_cond 0
% 141.48/36.52 % fd_pseudo_cond 2
% 141.48/36.52 % AC symbols 0
% 141.48/36.52
% 141.48/36.52 % ------ Schedule dynamic 5 is on
% 141.48/36.52
% 141.48/36.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 % ------
% 141.48/36.52 % Current options:
% 141.48/36.52 % ------
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 %
% 141.48/36.52
% 141.48/36.52 % ------ Proving...
% 141.48/36.52 % Proof_search_loop: time out after: 3418 full_loop iterations
% 141.48/36.52
% 141.48/36.52 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 % ------
% 141.48/36.52 % Current options:
% 141.48/36.52 % ------
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 %
% 141.48/36.52
% 141.48/36.52 % ------ Proving...
% 141.48/36.52 % Proof_search_loop: time out after: 4040 full_loop iterations
% 141.48/36.52
% 141.48/36.52 % ------ Option_1: Negative Selections Time Limit: 35.
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 % ------
% 141.48/36.52 % Current options:
% 141.48/36.52 % ------
% 141.48/36.52
% 141.48/36.52
% 141.48/36.52 %
% 141.48/36.52
% 141.48/36.52 % ------ Proving...
% 141.48/36.52 %
% 141.48/36.52
% 141.48/36.52 % SZS status Theorem for theBenchmark.p
% 141.48/36.52
% 141.48/36.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.48/36.52
% 141.48/36.52
%------------------------------------------------------------------------------