%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT031+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Tue Sep 29 09:36:45 AM UTC 2026
% Result : Theorem 9.82s 2.62s
% Output : Refutation 14.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 28
% Syntax : Number of formulae : 344 ( 81 unt; 14 def)
% Number of atoms : 1741 ( 104 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 2543 (1146 ~;1204 |; 120 &)
% ( 6 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 6 prp; 0-5 aty)
% Number of functors : 30 ( 30 usr; 19 con; 0-9 aty)
% Number of variables : 457 ( 0 sgn 437 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X0,X2)
=> ! [X6] :
( m2_cat_1(X6,X0,X2)
=> ( ( r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6) )
=> ! [X7] :
( m1_nattra_1(X7,X0,X1,X3,X4)
=> ! [X8] :
( m1_nattra_1(X8,X0,X2,X5,X6)
=> ! [X9] :
( m1_subset_1(X9,u1_cat_1(X0))
=> k5_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9) = k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X0,X2)
=> ! [X6] :
( m2_cat_1(X6,X0,X2)
=> ( ( r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6) )
=> ! [X7] :
( m1_nattra_1(X7,X0,X1,X3,X4)
=> ! [X8] :
( m1_nattra_1(X8,X0,X2,X5,X6)
=> ! [X9] :
( m1_subset_1(X9,u1_cat_1(X0))
=> k5_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9) = k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9)) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X0,X2)
=> ! [X6] :
( m2_cat_1(X6,X0,X2)
=> ( ( r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6) )
=> ! [X7] :
( m1_nattra_1(X7,X0,X1,X3,X4)
=> ! [X8] :
( m1_nattra_1(X8,X0,X2,X5,X6)
=> k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8) = k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_isocat_2) ).
fof(f7,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ( r1_nattra_1(X0,X1,X2,X3)
=> ! [X4] :
( m1_nattra_1(X4,X0,X1,X2,X3)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k5_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u1_cat_1(X0),u2_cat_1(X1),X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_nattra_1) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_isocat_2) ).
fof(f10,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X0,X2)
& m1_relset_1(X4,X0,X2) )
=> ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_funct_3) ).
fof(f15,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X1)
& m2_cat_1(X5,X0,X2)
& m2_cat_1(X6,X0,X2)
& m1_nattra_1(X7,X0,X1,X3,X4)
& m1_nattra_1(X8,X0,X2,X5,X6) )
=> m1_nattra_1(k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_isocat_2) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m2_cat_1(X2,X0,X1)
& m2_cat_1(X3,X0,X1) )
=> ! [X4] :
( m1_nattra_1(X4,X0,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,u1_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X4,u1_cat_1(X0),u2_cat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_nattra_1) ).
fof(f32,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u1_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_cat_1) ).
fof(f33,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f46,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X0,X2)
=> ! [X6] :
( m2_cat_1(X6,X0,X2)
=> ( ( r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6) )
=> ! [X7] :
( m1_nattra_1(X7,X0,X1,X3,X4)
=> ! [X8] :
( m1_nattra_1(X8,X0,X2,X5,X6)
=> ! [X9] :
( m1_subset_1(X9,u1_cat_1(X0))
=> k8_funct_2(u1_cat_1(X0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)),k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8),X9) = k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l54_isocat_2) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f55,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f61,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X0,X2)
=> ! [X6] :
( m2_cat_1(X6,X0,X2)
=> ( ( r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6) )
=> r1_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_isocat_2) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( k5_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9) != k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9))
& m1_subset_1(X9,u1_cat_1(X0)) )
& m1_nattra_1(X8,X0,X2,X5,X6) )
& m1_nattra_1(X7,X0,X1,X3,X4) )
& r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6)
& m2_cat_1(X6,X0,X2) )
& m2_cat_1(X5,X0,X2) )
& m2_cat_1(X4,X0,X1) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( k5_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9) != k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9))
& m1_subset_1(X9,u1_cat_1(X0)) )
& m1_nattra_1(X8,X0,X2,X5,X6) )
& m1_nattra_1(X7,X0,X1,X3,X4) )
& r1_nattra_1(X0,X1,X3,X4)
& r1_nattra_1(X0,X2,X5,X6)
& m2_cat_1(X6,X0,X2) )
& m2_cat_1(X5,X0,X2) )
& m2_cat_1(X4,X0,X1) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8) = k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8)
| ~ m1_nattra_1(X8,X0,X2,X5,X6) )
| ~ m1_nattra_1(X7,X0,X1,X3,X4) )
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8) = k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8)
| ~ m1_nattra_1(X8,X0,X2,X5,X6) )
| ~ m1_nattra_1(X7,X0,X1,X3,X4) )
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k5_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u1_cat_1(X0),u2_cat_1(X1),X4,X5)
| ~ m1_subset_1(X5,u1_cat_1(X0)) )
| ~ m1_nattra_1(X4,X0,X1,X2,X3) )
| ~ r1_nattra_1(X0,X1,X2,X3)
| ~ m2_cat_1(X3,X0,X1) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k5_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u1_cat_1(X0),u2_cat_1(X1),X4,X5)
| ~ m1_subset_1(X5,u1_cat_1(X0)) )
| ~ m1_nattra_1(X4,X0,X1,X2,X3) )
| ~ r1_nattra_1(X0,X1,X2,X3)
| ~ m2_cat_1(X3,X0,X1) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f80,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f79]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) )
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) )
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( m1_nattra_1(k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X6,X0,X2)
| ~ m1_nattra_1(X7,X0,X1,X3,X4)
| ~ m1_nattra_1(X8,X0,X2,X5,X6) ),
inference(ennf_transformation,[],[f15]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( m1_nattra_1(k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X6,X0,X2)
| ~ m1_nattra_1(X7,X0,X1,X3,X4)
| ~ m1_nattra_1(X8,X0,X2,X5,X6) ),
inference(flattening,[],[f89]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X4,u1_cat_1(X0),u2_cat_1(X1)) )
| ~ m1_nattra_1(X4,X0,X1,X2,X3) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X4,u1_cat_1(X0),u2_cat_1(X1)) )
| ~ m1_nattra_1(X4,X0,X1,X2,X3) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f103,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( k8_funct_2(u1_cat_1(X0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)),k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8),X9) = k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9))
| ~ m1_subset_1(X9,u1_cat_1(X0)) )
| ~ m1_nattra_1(X8,X0,X2,X5,X6) )
| ~ m1_nattra_1(X7,X0,X1,X3,X4) )
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( k8_funct_2(u1_cat_1(X0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)),k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8),X9) = k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9))
| ~ m1_subset_1(X9,u1_cat_1(X0)) )
| ~ m1_nattra_1(X8,X0,X2,X5,X6) )
| ~ m1_nattra_1(X7,X0,X1,X3,X4) )
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f112]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f121]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r1_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r1_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2) )
| ~ m2_cat_1(X5,X0,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f129]) ).
fof(f137,plain,
( k5_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6),k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8),sK9) != k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,sK9))
& m1_subset_1(sK9,u1_cat_1(sK0))
& m1_nattra_1(sK8,sK0,sK2,sK5,sK6)
& m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
& r1_nattra_1(sK0,sK1,sK3,sK4)
& r1_nattra_1(sK0,sK2,sK5,sK6)
& m2_cat_1(sK6,sK0,sK2)
& m2_cat_1(sK5,sK0,sK2)
& m2_cat_1(sK4,sK0,sK1)
& m2_cat_1(sK3,sK0,sK1)
& v2_cat_1(sK2)
& l1_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1)
& v2_cat_1(sK0)
& l1_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f70]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f150,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f137]) ).
fof(f151,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f137]) ).
fof(f152,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f153,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f154,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f155,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f156,plain,
m2_cat_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f157,plain,
m2_cat_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f158,plain,
m2_cat_1(sK5,sK0,sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f159,plain,
m2_cat_1(sK6,sK0,sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f160,plain,
r1_nattra_1(sK0,sK2,sK5,sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f161,plain,
r1_nattra_1(sK0,sK1,sK3,sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f162,plain,
m1_nattra_1(sK7,sK0,sK1,sK3,sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f163,plain,
m1_nattra_1(sK8,sK0,sK2,sK5,sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f164,plain,
m1_subset_1(sK9,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f137]) ).
fof(f165,plain,
k5_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6),k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8),sK9) != k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,sK9)),
inference(cnf_transformation,[],[f137]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_nattra_1(X8,X0,X2,X5,X6)
| k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8) = k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8)
| ~ m1_nattra_1(X7,X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_nattra_1(X4,X0,X1,X2,X3)
| ~ m1_subset_1(X5,u1_cat_1(X0))
| k5_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u1_cat_1(X0),u2_cat_1(X1),X4,X5)
| ~ r1_nattra_1(X0,X1,X2,X3)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f173,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f174,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( m1_nattra_1(k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X6,X0,X2)
| ~ m1_nattra_1(X7,X0,X1,X3,X4)
| ~ m1_nattra_1(X8,X0,X2,X5,X6) ),
inference(cnf_transformation,[],[f90]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X4,X0,X1,X2,X3)
| m2_relset_1(X4,u1_cat_1(X0),u2_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X4,X0,X1,X2,X3)
| v1_funct_2(X4,u1_cat_1(X0),u2_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X4,X0,X1,X2,X3)
| v1_funct_1(X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f193,plain,
! [X0] :
( ~ v1_xboole_0(u1_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f194,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ m1_nattra_1(X8,X0,X2,X5,X6)
| ~ m1_subset_1(X9,u1_cat_1(X0))
| k13_cat_2(X1,X2,k5_nattra_1(X0,X1,X3,X4,X7,X9),k5_nattra_1(X0,X2,X5,X6,X8,X9)) = k8_funct_2(u1_cat_1(X0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)),k14_funct_3(u1_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X7,X8),X9)
| ~ m1_nattra_1(X7,X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r1_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X5),k10_isocat_2(X0,X1,X2,X4,X6))
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6)
| ~ m2_cat_1(X6,X0,X2)
| ~ m2_cat_1(X5,X0,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f232,definition,
sF21 = k11_cat_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f233,plain,
k11_cat_2(sK1,sK2) = sF21,
inference(reorient_equations,[],[f232]) ).
fof(f234,definition,
sF22 = k10_isocat_2(sK0,sK1,sK2,sK3,sK5),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f235,plain,
k10_isocat_2(sK0,sK1,sK2,sK3,sK5) = sF22,
inference(reorient_equations,[],[f234]) ).
fof(f236,definition,
sF23 = k10_isocat_2(sK0,sK1,sK2,sK4,sK6),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f237,plain,
k10_isocat_2(sK0,sK1,sK2,sK4,sK6) = sF23,
inference(reorient_equations,[],[f236]) ).
fof(f238,definition,
sF24 = k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f239,plain,
k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = sF24,
inference(reorient_equations,[],[f238]) ).
fof(f240,definition,
sF25 = k5_nattra_1(sK0,sF21,sF22,sF23,sF24,sK9),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f241,plain,
k5_nattra_1(sK0,sF21,sF22,sF23,sF24,sK9) = sF25,
inference(reorient_equations,[],[f240]) ).
fof(f242,definition,
sF26 = k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f243,plain,
k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9) = sF26,
inference(reorient_equations,[],[f242]) ).
fof(f244,definition,
sF27 = k5_nattra_1(sK0,sK2,sK5,sK6,sK8,sK9),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f245,plain,
k5_nattra_1(sK0,sK2,sK5,sK6,sK8,sK9) = sF27,
inference(reorient_equations,[],[f244]) ).
fof(f246,definition,
sF28 = k13_cat_2(sK1,sK2,sF26,sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f247,plain,
k13_cat_2(sK1,sK2,sF26,sF27) = sF28,
inference(reorient_equations,[],[f246]) ).
fof(f248,plain,
sF25 != sF28,
inference(definition_folding,[],[f165,f247,f245,f243,f241,f239,f237,f235,f233]) ).
fof(f249,definition,
sF29 = u1_cat_1(sK0),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f250,plain,
u1_cat_1(sK0) = sF29,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
m1_subset_1(sK9,sF29),
inference(definition_folding,[],[f164,f250]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,sK2,sK5,sK6)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f163,f169]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f252,f160]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f253,f159]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f254,f158]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f255,f155]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f256,f154]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f257,f151]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(u1_cat_1(sK0),u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f258,f150]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( ~ m1_nattra_1(X3,sK0,X0,X1,X2)
| k15_isocat_2(sK0,X0,sK2,X1,X2,sK5,sK6,X3,sK8) = k14_funct_3(sF29,u2_cat_1(X0),u2_cat_1(sK2),X3,sK8)
| ~ r1_nattra_1(sK0,X0,X1,X2)
| ~ m2_cat_1(X2,sK0,X0)
| ~ m2_cat_1(X1,sK0,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_demodulation,[],[f259,f250]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,sK2,sK5,sK6)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f207,f163]) ).
fof(f273,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f270,f160]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f273,f159]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f275,f158]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f277,f155]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f279,f154]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f281,f151]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f283,f150]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(u1_cat_1(sK0),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(u1_cat_1(sK0),u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f285,f250]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X4,sK0,X1,X2,X3)
| ~ m1_subset_1(X0,sF29)
| k13_cat_2(X1,sK2,k5_nattra_1(sK0,X1,X2,X3,X4,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(X1),u2_cat_1(sK2),X4,sK8),X0)
| ~ r1_nattra_1(sK0,X1,X2,X3)
| ~ m2_cat_1(X3,sK0,X1)
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f287,f250]) ).
fof(f290,plain,
( l1_cat_1(sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f173,f233]) ).
fof(f291,plain,
( l1_cat_1(sF21)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f290,f153]) ).
fof(f292,plain,
( l1_cat_1(sF21)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f291,f152]) ).
fof(f293,plain,
( l1_cat_1(sF21)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f292,f155]) ).
fof(f294,plain,
l1_cat_1(sF21),
inference(forward_subsumption_resolution,[],[f293,f154]) ).
fof(f295,plain,
( v2_cat_1(sF21)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f174,f233]) ).
fof(f296,plain,
( v2_cat_1(sF21)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f295,f153]) ).
fof(f297,plain,
( v2_cat_1(sF21)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f296,f152]) ).
fof(f298,plain,
( v2_cat_1(sF21)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f297,f155]) ).
fof(f299,plain,
v2_cat_1(sF21),
inference(forward_subsumption_resolution,[],[f298,f154]) ).
fof(f300,plain,
( v1_funct_1(sK8)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(resolution,[],[f188,f163]) ).
fof(f301,plain,
( v1_funct_1(sK7)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(resolution,[],[f188,f162]) ).
fof(f302,plain,
( v1_funct_1(sK7)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f301,f151]) ).
fof(f303,plain,
( v1_funct_1(sK8)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f300,f151]) ).
fof(f304,plain,
( v1_funct_1(sK7)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f302,f150]) ).
fof(f305,plain,
( v1_funct_1(sK8)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f303,f150]) ).
fof(f306,plain,
( v1_funct_1(sK7)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f304,f153]) ).
fof(f307,plain,
( v1_funct_1(sK8)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f305,f155]) ).
fof(f308,plain,
( v1_funct_1(sK7)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f306,f152]) ).
fof(f309,plain,
( v1_funct_1(sK8)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f307,f154]) ).
fof(f310,plain,
( v1_funct_1(sK7)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f308,f156]) ).
fof(f311,plain,
( v1_funct_1(sK8)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f309,f158]) ).
fof(f312,plain,
v1_funct_1(sK7),
inference(forward_subsumption_resolution,[],[f310,f157]) ).
fof(f313,plain,
v1_funct_1(sK8),
inference(forward_subsumption_resolution,[],[f311,f159]) ).
fof(f315,plain,
( k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8)
| ~ r1_nattra_1(sK0,sK1,sK3,sK4)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f260,f162]) ).
fof(f316,plain,
( k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f315,f161]) ).
fof(f318,plain,
( k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f316,f157]) ).
fof(f320,plain,
( k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f318,f156]) ).
fof(f322,plain,
( k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f320,f153]) ).
fof(f324,plain,
k15_isocat_2(sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8) = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),
inference(forward_subsumption_resolution,[],[f322,f152]) ).
fof(f326,plain,
sF24 = k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),
inference(forward_demodulation,[],[f324,f239]) ).
fof(f339,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(resolution,[],[f187,f163]) ).
fof(f340,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(resolution,[],[f187,f162]) ).
fof(f341,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f340,f151]) ).
fof(f342,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f339,f151]) ).
fof(f343,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f341,f150]) ).
fof(f344,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f342,f150]) ).
fof(f345,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f343,f153]) ).
fof(f346,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f344,f155]) ).
fof(f347,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f345,f152]) ).
fof(f348,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f346,f154]) ).
fof(f349,plain,
( v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f347,f156]) ).
fof(f350,plain,
( v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f348,f158]) ).
fof(f351,plain,
v1_funct_2(sK7,u1_cat_1(sK0),u2_cat_1(sK1)),
inference(forward_subsumption_resolution,[],[f349,f157]) ).
fof(f352,plain,
v1_funct_2(sK8,u1_cat_1(sK0),u2_cat_1(sK2)),
inference(forward_subsumption_resolution,[],[f350,f159]) ).
fof(f353,plain,
v1_funct_2(sK7,sF29,u2_cat_1(sK1)),
inference(forward_demodulation,[],[f351,f250]) ).
fof(f354,plain,
v1_funct_2(sK8,sF29,u2_cat_1(sK2)),
inference(forward_demodulation,[],[f352,f250]) ).
fof(f376,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0)
| ~ r1_nattra_1(sK0,sK1,sK3,sK4)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f289,f162]) ).
fof(f377,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f376,f161]) ).
fof(f379,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f377,f157]) ).
fof(f381,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f379,f156]) ).
fof(f383,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f381,f153]) ).
fof(f385,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(sF29,u2_cat_1(sK1),u2_cat_1(sK2),sK7,sK8),X0) ),
inference(forward_subsumption_resolution,[],[f383,f152]) ).
fof(f387,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,X0),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,X0)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,X0) ),
inference(forward_demodulation,[],[f385,f326]) ).
fof(f388,plain,
k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9),k5_nattra_1(sK0,sK2,sK5,sK6,sK8,sK9)) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9),
inference(resolution,[],[f387,f251]) ).
fof(f389,plain,
k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9) = k13_cat_2(sK1,sK2,k5_nattra_1(sK0,sK1,sK3,sK4,sK7,sK9),sF27),
inference(forward_demodulation,[],[f388,f245]) ).
fof(f390,plain,
k13_cat_2(sK1,sK2,sF26,sF27) = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9),
inference(forward_demodulation,[],[f389,f243]) ).
fof(f391,plain,
sF28 = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9),
inference(forward_demodulation,[],[f390,f247]) ).
fof(f412,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(superposition,[],[f172,f235]) ).
fof(f413,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(superposition,[],[f172,f237]) ).
fof(f417,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f413,f151]) ).
fof(f418,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f412,f151]) ).
fof(f421,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f417,f150]) ).
fof(f422,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f418,f150]) ).
fof(f425,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f421,f153]) ).
fof(f426,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f422,f153]) ).
fof(f428,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f425,f152]) ).
fof(f429,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f426,f152]) ).
fof(f430,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f428,f155]) ).
fof(f431,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f429,f155]) ).
fof(f432,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f430,f154]) ).
fof(f433,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f431,f154]) ).
fof(f434,plain,
( m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f432,f157]) ).
fof(f435,plain,
( m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK5,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f433,f156]) ).
fof(f436,plain,
m2_cat_1(sF23,sK0,k11_cat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f434,f159]) ).
fof(f437,plain,
m2_cat_1(sF22,sK0,k11_cat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f435,f158]) ).
fof(f438,plain,
m2_cat_1(sF23,sK0,sF21),
inference(forward_demodulation,[],[f436,f233]) ).
fof(f439,plain,
m2_cat_1(sF22,sK0,sF21),
inference(forward_demodulation,[],[f437,f233]) ).
fof(f486,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(superposition,[],[f182,f239]) ).
fof(f504,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f486,f151]) ).
fof(f522,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f504,f150]) ).
fof(f540,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f522,f153]) ).
fof(f558,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f540,f152]) ).
fof(f575,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f558,f155]) ).
fof(f587,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f575,f154]) ).
fof(f599,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m2_cat_1(sK4,sK0,sK1)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f587,f156]) ).
fof(f607,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f599,f157]) ).
fof(f613,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f607,f158]) ).
fof(f615,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m1_nattra_1(sK7,sK0,sK1,sK3,sK4)
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f613,f159]) ).
fof(f617,plain,
( m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6))
| ~ m1_nattra_1(sK8,sK0,sK2,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f615,f162]) ).
fof(f619,plain,
m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),k10_isocat_2(sK0,sK1,sK2,sK4,sK6)),
inference(forward_subsumption_resolution,[],[f617,f163]) ).
fof(f621,plain,
m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK5),sF23),
inference(forward_demodulation,[],[f619,f237]) ).
fof(f622,plain,
m1_nattra_1(sF24,sK0,k11_cat_2(sK1,sK2),sF22,sF23),
inference(forward_demodulation,[],[f621,f235]) ).
fof(f623,plain,
m1_nattra_1(sF24,sK0,sF21,sF22,sF23),
inference(forward_demodulation,[],[f622,f233]) ).
fof(f628,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ m2_cat_1(sF23,sK0,sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(resolution,[],[f623,f170]) ).
fof(f629,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(resolution,[],[f623,f187]) ).
fof(f630,plain,
( v1_funct_1(sF24)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(resolution,[],[f623,f188]) ).
fof(f635,plain,
( v1_funct_1(sF24)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f630,f151]) ).
fof(f636,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f629,f151]) ).
fof(f637,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f628,f438]) ).
fof(f644,plain,
( v1_funct_1(sF24)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f635,f150]) ).
fof(f645,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f636,f150]) ).
fof(f646,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f637,f439]) ).
fof(f653,plain,
( v1_funct_1(sF24)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f644,f299]) ).
fof(f654,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f645,f299]) ).
fof(f655,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ l1_cat_1(sF21)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f646,f299]) ).
fof(f662,plain,
( v1_funct_1(sF24)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f653,f294]) ).
fof(f663,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f654,f294]) ).
fof(f664,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f655,f294]) ).
fof(f671,plain,
( v1_funct_1(sF24)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f662,f439]) ).
fof(f672,plain,
( v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f663,f439]) ).
fof(f673,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f664,f151]) ).
fof(f675,definition,
( spl30_1
<=> r1_nattra_1(sK0,sF21,sF22,sF23) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f677,plain,
( ~ r1_nattra_1(sK0,sF21,sF22,sF23)
| spl30_1 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f698,plain,
v1_funct_1(sF24),
inference(forward_subsumption_resolution,[],[f671,f438]) ).
fof(f699,plain,
v1_funct_2(sF24,u1_cat_1(sK0),u2_cat_1(sF21)),
inference(forward_subsumption_resolution,[],[f672,f438]) ).
fof(f700,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_cat_1(sK0))
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23) ),
inference(forward_subsumption_resolution,[],[f673,f150]) ).
fof(f703,plain,
v1_funct_2(sF24,sF29,u2_cat_1(sF21)),
inference(forward_demodulation,[],[f699,f250]) ).
fof(f704,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(u1_cat_1(sK0),u2_cat_1(sF21),sF24,X0)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23) ),
inference(forward_demodulation,[],[f700,f250]) ).
fof(f710,plain,
! [X0] :
( k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0)
| ~ m1_subset_1(X0,sF29)
| ~ r1_nattra_1(sK0,sF21,sF22,sF23) ),
inference(forward_demodulation,[],[f704,f250]) ).
fof(f716,definition,
( spl30_8
<=> ! [X0] :
( k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0)
| ~ m1_subset_1(X0,sF29) ) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f717,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF29)
| k5_nattra_1(sK0,sF21,sF22,sF23,sF24,X0) = k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0) )
| ~ spl30_8 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( ~ spl30_1
| spl30_8 ),
inference(avatar_split_clause,[],[f710,f716,f675]) ).
fof(f1322,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(superposition,[],[f225,f235]) ).
fof(f1401,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1322,f158]) ).
fof(f1435,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1401,f156]) ).
fof(f1469,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1435,f155]) ).
fof(f1503,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1469,f154]) ).
fof(f1537,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1503,f153]) ).
fof(f1562,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1537,f152]) ).
fof(f1579,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1562,f151]) ).
fof(f1596,plain,
! [X0,X1] :
( r1_nattra_1(sK0,k11_cat_2(sK1,sK2),sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1579,f150]) ).
fof(f1605,plain,
! [X0,X1] :
( r1_nattra_1(sK0,sF21,sF22,k10_isocat_2(sK0,sK1,sK2,X0,X1))
| ~ r1_nattra_1(sK0,sK1,sK3,X0)
| ~ r1_nattra_1(sK0,sK2,sK5,X1)
| ~ m2_cat_1(X1,sK0,sK2)
| ~ m2_cat_1(X0,sK0,sK1) ),
inference(forward_demodulation,[],[f1596,f233]) ).
fof(f1628,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(resolution,[],[f186,f162]) ).
fof(f1629,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(resolution,[],[f186,f163]) ).
fof(f1630,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(resolution,[],[f186,f623]) ).
fof(f1634,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f1630,f151]) ).
fof(f1635,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f1629,f151]) ).
fof(f1636,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1628,f151]) ).
fof(f1639,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ v2_cat_1(sF21)
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f1634,f150]) ).
fof(f1640,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f1635,f150]) ).
fof(f1641,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1636,f150]) ).
fof(f1644,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ l1_cat_1(sF21)
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f1639,f299]) ).
fof(f1645,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f1640,f155]) ).
fof(f1646,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1641,f153]) ).
fof(f1649,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ m2_cat_1(sF22,sK0,sF21)
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f1644,f294]) ).
fof(f1650,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_cat_1(sK5,sK0,sK2)
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f1645,f154]) ).
fof(f1651,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1646,f152]) ).
fof(f1653,plain,
( m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21))
| ~ m2_cat_1(sF23,sK0,sF21) ),
inference(forward_subsumption_resolution,[],[f1649,f439]) ).
fof(f1654,plain,
( m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_cat_1(sK6,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f1650,f158]) ).
fof(f1655,plain,
( m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1651,f156]) ).
fof(f1657,plain,
m2_relset_1(sF24,u1_cat_1(sK0),u2_cat_1(sF21)),
inference(forward_subsumption_resolution,[],[f1653,f438]) ).
fof(f1658,plain,
m2_relset_1(sK8,u1_cat_1(sK0),u2_cat_1(sK2)),
inference(forward_subsumption_resolution,[],[f1654,f159]) ).
fof(f1659,plain,
m2_relset_1(sK7,u1_cat_1(sK0),u2_cat_1(sK1)),
inference(forward_subsumption_resolution,[],[f1655,f157]) ).
fof(f1661,plain,
m2_relset_1(sF24,sF29,u2_cat_1(sF21)),
inference(forward_demodulation,[],[f1657,f250]) ).
fof(f1662,plain,
m2_relset_1(sK8,sF29,u2_cat_1(sK2)),
inference(forward_demodulation,[],[f1658,f250]) ).
fof(f1663,plain,
m2_relset_1(sK7,sF29,u2_cat_1(sK1)),
inference(forward_demodulation,[],[f1659,f250]) ).
fof(f1709,plain,
m1_relset_1(sK8,sF29,u2_cat_1(sK2)),
inference(resolution,[],[f218,f1662]) ).
fof(f1710,plain,
m1_relset_1(sK7,sF29,u2_cat_1(sK1)),
inference(resolution,[],[f218,f1663]) ).
fof(f1836,definition,
( spl30_24
<=> v1_xboole_0(sF29) ),
introduced(definition,[new_symbols(definition,[spl30_24])],[avatar_definition]) ).
fof(f1837,plain,
( ~ v1_xboole_0(sF29)
| spl30_24 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1838,plain,
( v1_xboole_0(sF29)
| ~ spl30_24 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1892,plain,
( ~ v1_xboole_0(sF29)
| ~ l1_cat_1(sK0) ),
inference(superposition,[],[f193,f250]) ).
fof(f1893,plain,
( ~ l1_cat_1(sK0)
| ~ spl30_24 ),
inference(forward_subsumption_resolution,[],[f1892,f1838]) ).
fof(f1894,plain,
( $false
| ~ spl30_24 ),
inference(forward_subsumption_resolution,[],[f1893,f150]) ).
fof(f1895,plain,
~ spl30_24,
inference(avatar_contradiction_clause,[],[f1894]) ).
fof(f1992,plain,
( r1_nattra_1(sK0,sF21,sF22,sF23)
| ~ r1_nattra_1(sK0,sK1,sK3,sK4)
| ~ r1_nattra_1(sK0,sK2,sK5,sK6)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK4,sK0,sK1) ),
inference(superposition,[],[f1605,f237]) ).
fof(f1995,plain,
( ~ r1_nattra_1(sK0,sK1,sK3,sK4)
| ~ r1_nattra_1(sK0,sK2,sK5,sK6)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1992,f677]) ).
fof(f1999,plain,
( ~ r1_nattra_1(sK0,sK2,sK5,sK6)
| ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1995,f161]) ).
fof(f2003,plain,
( ~ m2_cat_1(sK6,sK0,sK2)
| ~ m2_cat_1(sK4,sK0,sK1)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1999,f160]) ).
fof(f2007,plain,
( ~ m2_cat_1(sK4,sK0,sK1)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f2003,f159]) ).
fof(f2010,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f2007,f157]) ).
fof(f2011,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2012,plain,
( k5_nattra_1(sK0,sF21,sF22,sF23,sF24,sK9) = k8_funct_2(sF29,u2_cat_1(sF21),sF24,sK9)
| ~ spl30_8 ),
inference(resolution,[],[f717,f251]) ).
fof(f2013,plain,
( sF25 = k8_funct_2(sF29,u2_cat_1(sF21),sF24,sK9)
| ~ spl30_8 ),
inference(forward_demodulation,[],[f2012,f241]) ).
fof(f2500,plain,
m1_relset_1(sF24,sF29,u2_cat_1(sF21)),
inference(resolution,[],[f1661,f218]) ).
fof(f2501,plain,
! [X0] :
( v1_xboole_0(sF29)
| ~ v1_funct_1(sF24)
| ~ v1_funct_2(sF24,sF29,u2_cat_1(sF21))
| k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) ),
inference(resolution,[],[f2500,f217]) ).
fof(f2502,plain,
( ! [X0] :
( ~ v1_funct_1(sF24)
| ~ v1_funct_2(sF24,sF29,u2_cat_1(sF21))
| k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) )
| spl30_24 ),
inference(forward_subsumption_resolution,[],[f2501,f1837]) ).
fof(f2503,plain,
( ! [X0] :
( ~ v1_funct_2(sF24,sF29,u2_cat_1(sF21))
| k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) )
| spl30_24 ),
inference(forward_subsumption_resolution,[],[f2502,f698]) ).
fof(f2504,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF29)
| k8_funct_2(sF29,u2_cat_1(sF21),sF24,X0) = k1_funct_1(sF24,X0) )
| spl30_24 ),
inference(forward_subsumption_resolution,[],[f2503,f703]) ).
fof(f2505,plain,
( k8_funct_2(sF29,u2_cat_1(sF21),sF24,sK9) = k1_funct_1(sF24,sK9)
| spl30_24 ),
inference(resolution,[],[f2504,f251]) ).
fof(f2506,plain,
( sF25 = k1_funct_1(sF24,sK9)
| ~ spl30_8
| spl30_24 ),
inference(forward_demodulation,[],[f2505,f2013]) ).
fof(f2534,definition,
( spl30_33
<=> v1_xboole_0(u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl30_33])],[avatar_definition]) ).
fof(f2535,plain,
( ~ v1_xboole_0(u2_cat_1(sK1))
| spl30_33 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f2536,plain,
( v1_xboole_0(u2_cat_1(sK1))
| ~ spl30_33 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f2542,definition,
( spl30_35
<=> v1_xboole_0(u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_35])],[avatar_definition]) ).
fof(f2543,plain,
( ~ v1_xboole_0(u2_cat_1(sK2))
| spl30_35 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2544,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ spl30_35 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2871,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2)) ),
inference(superposition,[],[f180,f326]) ).
fof(f5226,plain,
! [X2,X3,X0,X1,X4] :
( m1_relset_1(k14_funct_3(X3,X0,X1,X2,X4),X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X0)
| ~ m1_relset_1(X2,X3,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X3,X1)
| ~ m1_relset_1(X4,X3,X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f179,f218]) ).
fof(f6309,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1)) ),
inference(superposition,[],[f5226,f326]) ).
fof(f6657,plain,
( ~ l1_cat_1(sK2)
| ~ spl30_35 ),
inference(resolution,[],[f194,f2544]) ).
fof(f6658,plain,
( ~ l1_cat_1(sK1)
| ~ spl30_33 ),
inference(resolution,[],[f194,f2536]) ).
fof(f6662,plain,
( $false
| ~ spl30_33 ),
inference(forward_subsumption_resolution,[],[f6658,f152]) ).
fof(f6663,plain,
~ spl30_33,
inference(avatar_contradiction_clause,[],[f6662]) ).
fof(f6664,plain,
( $false
| ~ spl30_35 ),
inference(forward_subsumption_resolution,[],[f6657,f154]) ).
fof(f6665,plain,
~ spl30_35,
inference(avatar_contradiction_clause,[],[f6664]) ).
fof(f6667,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6309,f2543]) ).
fof(f6668,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33 ),
inference(forward_subsumption_resolution,[],[f2871,f2535]) ).
fof(f6674,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6667,f312]) ).
fof(f6675,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK7)
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6668,f2543]) ).
fof(f6677,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6674,f353]) ).
fof(f6678,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK7,sF29,u2_cat_1(sK1))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6675,f312]) ).
fof(f6680,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6677,f1710]) ).
fof(f6681,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK7,sF29,u2_cat_1(sK1))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6678,f353]) ).
fof(f6683,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6680,f313]) ).
fof(f6684,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK8)
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6681,f1710]) ).
fof(f6686,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6683,f354]) ).
fof(f6687,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK8,sF29,u2_cat_1(sK2))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6684,f313]) ).
fof(f6689,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK1))
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6686,f1709]) ).
fof(f6690,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK8,sF29,u2_cat_1(sK2))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6687,f354]) ).
fof(f6692,plain,
( m1_relset_1(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6689,f2535]) ).
fof(f6693,plain,
( v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6690,f1709]) ).
fof(f6697,plain,
( ! [X0] :
( v1_xboole_0(sF29)
| ~ v1_funct_1(sF24)
| ~ v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) )
| spl30_33
| spl30_35 ),
inference(resolution,[],[f6692,f217]) ).
fof(f6698,plain,
( ! [X0] :
( ~ v1_funct_1(sF24)
| ~ v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) )
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6697,f1837]) ).
fof(f6700,plain,
( ! [X0] :
( ~ v1_funct_2(sF24,sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,X0) = k1_funct_1(sF24,X0)
| ~ m1_subset_1(X0,sF29) )
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6698,f698]) ).
fof(f6702,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF29)
| k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,X0) = k1_funct_1(sF24,X0) )
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6700,f6693]) ).
fof(f6711,plain,
( k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9) = k1_funct_1(sF24,sK9)
| spl30_24
| spl30_33
| spl30_35 ),
inference(resolution,[],[f6702,f251]) ).
fof(f6712,plain,
( sF25 = k8_funct_2(sF29,k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF24,sK9)
| ~ spl30_8
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_demodulation,[],[f6711,f2506]) ).
fof(f6713,plain,
( sF25 = sF28
| ~ spl30_8
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_demodulation,[],[f6712,f391]) ).
fof(f6714,plain,
( $false
| ~ spl30_8
| spl30_24
| spl30_33
| spl30_35 ),
inference(forward_subsumption_resolution,[],[f6713,f248]) ).
fof(f6715,plain,
( ~ spl30_8
| spl30_24
| spl30_33
| spl30_35 ),
inference(avatar_contradiction_clause,[],[f6714]) ).
cnf(s7,plain,
( ~ spl30_1
| spl30_8 ),
inference(sat_conversion,[],[f718]) ).
cnf(s24,plain,
~ spl30_24,
inference(sat_conversion,[],[f1895]) ).
cnf(s25,plain,
spl30_1,
inference(sat_conversion,[],[f2011]) ).
cnf(s139,plain,
~ spl30_33,
inference(sat_conversion,[],[f6663]) ).
cnf(s140,plain,
~ spl30_35,
inference(sat_conversion,[],[f6665]) ).
cnf(s142,plain,
( ~ spl30_8
| spl30_24
| spl30_33
| spl30_35 ),
inference(sat_conversion,[],[f6715]) ).
cnf(s221,plain,
~ spl30_8,
inference(rat,[],[s142,s140,s139,s24]) ).
cnf(s233,plain,
$false,
inference(rat,[],[s7,s221,s25]) ).
fof(f6716,plain,
$false,
inference(avatar_sat_refutation,[],[s233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:22:31 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.82/2.61 % (3497891)Detected formulas, will run a generic FOF schedule.
% 9.82/2.61 % (3498150)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3240991264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.82/2.61 % (3498151)dis-21_1_sil=8000:lcm=predicate:random_seed=3534444711:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.82/2.61 % (3498144)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3867136898:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.82/2.61 % (3498141)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4058451529:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.82/2.61 % (3498149)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3932950607:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.82/2.61 % (3498147)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3966360085:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.82/2.61 % (3498143)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2189055712:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.82/2.61 % (3498150)Instruction limit reached!
% 9.82/2.61 % (3498150)------------------------------
% 9.82/2.61 % (3498150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498150)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498150)Termination reason: Instruction limit
% 9.82/2.61 % (3498150)Termination phase: Saturation
% 9.82/2.61 % (3498150)Time elapsed: 0.048 s
% 9.82/2.61 % (3498150)Peak memory usage: 90 MB
% 9.82/2.61 % (3498150)Instructions burned: 139 (million)
% 9.82/2.61 % (3498147)Refutation not found, incomplete strategy
% 9.82/2.61 % (3498147)------------------------------
% 9.82/2.61 % (3498147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498147)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498147)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.61 % (3498147)Time elapsed: 0.008 s
% 9.82/2.61 % (3498147)Peak memory usage: 88 MB
% 9.82/2.61 % (3498147)Instructions burned: 12 (million)
% 9.82/2.61 % (3498149)Instruction limit reached!
% 9.82/2.61 % (3498149)------------------------------
% 9.82/2.61 % (3498149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498149)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498149)Termination reason: Instruction limit
% 9.82/2.61 % (3498149)Termination phase: Saturation
% 9.82/2.61 % (3498149)Time elapsed: 0.056 s
% 9.82/2.61 % (3498149)Peak memory usage: 88 MB
% 9.82/2.61 % (3498149)Instructions burned: 119 (million)
% 9.82/2.61 % (3498151)Instruction limit reached!
% 9.82/2.61 % (3498151)------------------------------
% 9.82/2.61 % (3498151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498151)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498151)Termination reason: Instruction limit
% 9.82/2.61 % (3498151)Termination phase: Saturation
% 9.82/2.61 % (3498151)Time elapsed: 0.068 s
% 9.82/2.61 % (3498151)Peak memory usage: 90 MB
% 9.82/2.61 % (3498151)Instructions burned: 129 (million)
% 9.82/2.61 % (3498167)lrs+10_1_sil=8000:sp=occurrence:random_seed=2433721694:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.82/2.61 % (3498167)Instruction limit reached!
% 9.82/2.61 % (3498167)------------------------------
% 9.82/2.61 % (3498167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498167)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498167)Termination reason: Instruction limit
% 9.82/2.61 % (3498167)Termination phase: Saturation
% 9.82/2.61 % (3498167)Time elapsed: 0.076 s
% 9.82/2.61 % (3498167)Peak memory usage: 91 MB
% 9.82/2.61 % (3498167)Instructions burned: 287 (million)
% 9.82/2.61 % (3498168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1709885190:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.82/2.61 % (3498169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3356686520:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.82/2.61 % (3498147)------------------------------
% 9.82/2.61 % (3498147)------------------------------
% 9.82/2.61 % (3498168)Instruction limit reached!
% 9.82/2.61 % (3498168)------------------------------
% 9.82/2.61 % (3498168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498168)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498168)Termination reason: Instruction limit
% 9.82/2.61 % (3498168)Termination phase: Saturation
% 9.82/2.61 % (3498168)Time elapsed: 0.081 s
% 9.82/2.61 % (3498168)Peak memory usage: 91 MB
% 9.82/2.61 % (3498168)Instructions burned: 158 (million)
% 9.82/2.61 % (3498171)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=972468628:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.82/2.61 % (3498171)Instruction limit reached!
% 9.82/2.61 % (3498171)------------------------------
% 9.82/2.61 % (3498171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498171)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498171)Termination reason: Instruction limit
% 9.82/2.61 % (3498171)Termination phase: Saturation
% 9.82/2.61 % (3498171)Time elapsed: 0.069 s
% 9.82/2.61 % (3498171)Peak memory usage: 91 MB
% 9.82/2.61 % (3498171)Instructions burned: 250 (million)
% 9.82/2.61 % (3498174)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=431318228:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.82/2.61 % (3498174)Refutation not found, incomplete strategy
% 9.82/2.61 % (3498174)------------------------------
% 9.82/2.61 % (3498174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498174)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498174)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.61 % (3498174)Time elapsed: 0.005 s
% 9.82/2.61 % (3498174)Peak memory usage: 88 MB
% 9.82/2.61 % (3498174)Instructions burned: 7 (million)
% 9.82/2.61 % (3498169)Instruction limit reached!
% 9.82/2.61 % (3498169)------------------------------
% 9.82/2.61 % (3498169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498169)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498169)Termination reason: Instruction limit
% 9.82/2.61 % (3498169)Termination phase: Saturation
% 9.82/2.61 % (3498169)Time elapsed: 0.205 s
% 9.82/2.61 % (3498169)Peak memory usage: 92 MB
% 9.82/2.61 % (3498169)Instructions burned: 326 (million)
% 9.82/2.61 % (3498180)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=118447024:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.82/2.61 % (3498210)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3546556583:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.82/2.61 % (3498210)Instruction limit reached!
% 9.82/2.61 % (3498210)------------------------------
% 9.82/2.61 % (3498210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498210)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498210)Termination reason: Instruction limit
% 9.82/2.61 % (3498210)Termination phase: Saturation
% 9.82/2.61 % (3498210)Time elapsed: 0.038 s
% 9.82/2.61 % (3498210)Peak memory usage: 91 MB
% 9.82/2.61 % (3498210)Instructions burned: 115 (million)
% 9.82/2.61 % (3498239)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2278314250:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.82/2.61 % (3498174)------------------------------
% 9.82/2.61 % (3498174)------------------------------
% 9.82/2.61 % (3498265)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3976836003:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.82/2.61 % (3498239)Instruction limit reached!
% 9.82/2.61 % (3498239)------------------------------
% 9.82/2.61 % (3498239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498239)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498239)Termination reason: Instruction limit
% 9.82/2.61 % (3498239)Termination phase: Saturation
% 9.82/2.61 % (3498239)Time elapsed: 0.073 s
% 9.82/2.61 % (3498239)Peak memory usage: 89 MB
% 9.82/2.61 % (3498239)Instructions burned: 128 (million)
% 9.82/2.61 % (3498265)Instruction limit reached!
% 9.82/2.61 % (3498265)------------------------------
% 9.82/2.61 % (3498265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.61 % (3498265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.61 % (3498265)CaDiCaL version: 2.1.3
% 9.82/2.61 % (3498265)Termination reason: Instruction limit
% 9.82/2.61 % (3498265)Termination phase: Saturation
% 9.82/2.61 % (3498265)Time elapsed: 0.038 s
% 9.82/2.61 % (3498265)Peak memory usage: 90 MB
% 9.82/2.61 % (3498265)Instructions burned: 117 (million)
% 9.82/2.61 % (3498298)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1960120875:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.82/2.62 % (3498308)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2568490835:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.82/2.62 % (3498298)Refutation not found, incomplete strategy
% 9.82/2.62 % (3498298)------------------------------
% 9.82/2.62 % (3498298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.62 % (3498298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.62 % (3498298)CaDiCaL version: 2.1.3
% 9.82/2.62 % (3498298)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.62 % (3498298)Time elapsed: 0.021 s
% 9.82/2.62 % (3498298)Peak memory usage: 89 MB
% 9.82/2.62 % (3498298)Instructions burned: 35 (million)
% 9.82/2.62 % (3498296)lrs+10_1_sil=8000:sp=occurrence:random_seed=1837765164:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.82/2.62 % (3498298)------------------------------
% 9.82/2.62 % (3498298)------------------------------
% 9.82/2.62 % (3498321)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1219106129:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 9.82/2.62 % (3498321)Instruction limit reached!
% 9.82/2.62 % (3498321)------------------------------
% 9.82/2.62 % (3498321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.62 % (3498321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.62 % (3498321)CaDiCaL version: 2.1.3
% 9.82/2.62 % (3498321)Termination reason: Instruction limit
% 9.82/2.62 % (3498321)Termination phase: Saturation
% 9.82/2.62 % (3498321)Time elapsed: 0.075 s
% 9.82/2.62 % (3498321)Peak memory usage: 91 MB
% 9.82/2.62 % (3498321)Instructions burned: 135 (million)
% 9.82/2.62 % (3498141)First to succeed.
% 9.82/2.62 % (3498141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3497891"
% 9.82/2.62 % (3498143)Also succeeded, but the first one will report.
% 9.82/2.62 % (3498296)Instruction limit reached!
% 9.82/2.62 % (3498296)------------------------------
% 9.82/2.62 % (3498296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.62 % (3498296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.62 % (3498296)CaDiCaL version: 2.1.3
% 9.82/2.62 % (3498296)Termination reason: Instruction limit
% 9.82/2.62 % (3498296)Termination phase: Saturation
% 9.82/2.62 % (3498296)Time elapsed: 0.618 s
% 9.82/2.62 % (3498296)Peak memory usage: 97 MB
% 9.82/2.62 % (3498296)Instructions burned: 907 (million)
% 9.82/2.62 % (3498323)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4057014194:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 9.82/2.62 % (3498141)Refutation found. Thanks to Tanya!
% 9.82/2.62 % SZS status Theorem for theBenchmark
% 9.82/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 14.19/2.92 % (3498141)------------------------------
% 14.19/2.92 % (3498141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/2.92 % (3498141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.92 % (3498141)CaDiCaL version: 2.1.3
% 14.19/2.92 % (3498141)Termination reason: Refutation
% 14.19/2.92 % (3498141)Time elapsed: 1.382 s
% 14.19/2.92 % (3498141)Peak memory usage: 138 MB
% 14.19/2.92 % (3498141)Instructions burned: 2163 (million)
% 14.19/2.92 % (3498141)------------------------------
% 14.19/2.92 % (3498141)------------------------------
% 14.19/2.92 % (3497891)Success in time 1.925 s
% 14.19/2.92 % Vampire exiting
%------------------------------------------------------------------------------