%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT031+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:36:46 AM UTC 2026
% Result : Theorem 14.35s 2.98s
% Output : Refutation 15.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 19
% Syntax : Number of formulae : 157 ( 52 unt; 10 def)
% Number of atoms : 1059 ( 132 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 1640 ( 738 ~; 730 |; 108 &)
% ( 1 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-5 aty)
% Number of functors : 35 ( 35 usr; 19 con; 0-9 aty)
% Number of variables : 478 ( 0 sgn 458 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3720,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( u1_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u1_cat_1(X0),u1_cat_1(X1))
& u2_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1))
& u3_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u3_cat_1(X0),u3_cat_1(X1))
& u4_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u4_cat_1(X0),u4_cat_1(X1))
& u5_cat_1(k11_cat_2(X0,X1)) = k10_cat_2(u2_cat_1(X0),u2_cat_1(X1),u5_cat_1(X0),u5_cat_1(X1))
& u6_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u1_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),u2_cat_1(X1),u6_cat_1(X0),u6_cat_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_cat_2) ).
fof(f3782,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/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f3825,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/sandbox2/benchmark/theBenchmark.p',d5_nattra_1) ).
fof(f4006,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/sandbox2/benchmark/theBenchmark.p',dt_k10_isocat_2) ).
fof(f4012,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/sandbox2/benchmark/theBenchmark.p',dt_k15_isocat_2) ).
fof(f4068,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/sandbox2/benchmark/theBenchmark.p',l54_isocat_2) ).
fof(f4072,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/sandbox2/benchmark/theBenchmark.p',t44_isocat_2) ).
fof(f4073,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/sandbox2/benchmark/theBenchmark.p',d11_isocat_2) ).
fof(f4074,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/sandbox2/benchmark/theBenchmark.p',t45_isocat_2) ).
fof(f4075,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)],[f4074]) ).
fof(f8154,plain,
! [X0] :
( ! [X1] :
( ( u1_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u1_cat_1(X0),u1_cat_1(X1))
& u2_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1))
& u3_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u3_cat_1(X0),u3_cat_1(X1))
& u4_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u4_cat_1(X0),u4_cat_1(X1))
& u5_cat_1(k11_cat_2(X0,X1)) = k10_cat_2(u2_cat_1(X0),u2_cat_1(X1),u5_cat_1(X0),u5_cat_1(X1))
& u6_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u1_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),u2_cat_1(X1),u6_cat_1(X0),u6_cat_1(X1)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3720]) ).
fof(f8155,plain,
! [X0] :
( ! [X1] :
( ( u1_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u1_cat_1(X0),u1_cat_1(X1))
& u2_cat_1(k11_cat_2(X0,X1)) = k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1))
& u3_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u3_cat_1(X0),u3_cat_1(X1))
& u4_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u2_cat_1(X0),u2_cat_1(X1),u1_cat_1(X0),u1_cat_1(X1),u4_cat_1(X0),u4_cat_1(X1))
& u5_cat_1(k11_cat_2(X0,X1)) = k10_cat_2(u2_cat_1(X0),u2_cat_1(X1),u5_cat_1(X0),u5_cat_1(X1))
& u6_cat_1(k11_cat_2(X0,X1)) = k9_cat_2(u1_cat_1(X0),u1_cat_1(X1),u2_cat_1(X0),u2_cat_1(X1),u6_cat_1(X0),u6_cat_1(X1)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f8154]) ).
fof(f8268,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,[],[f3782]) ).
fof(f8269,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,[],[f8268]) ).
fof(f8347,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,[],[f3825]) ).
fof(f8348,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,[],[f8347]) ).
fof(f8680,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,[],[f4006]) ).
fof(f8681,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,[],[f8680]) ).
fof(f8692,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,[],[f4012]) ).
fof(f8693,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,[],[f8692]) ).
fof(f8796,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,[],[f4068]) ).
fof(f8797,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,[],[f8796]) ).
fof(f8804,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,[],[f4072]) ).
fof(f8805,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,[],[f8804]) ).
fof(f8806,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,[],[f4073]) ).
fof(f8807,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,[],[f8806]) ).
fof(f8808,plain,
? [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)) != 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)
& 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,[],[f4075]) ).
fof(f8809,plain,
? [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)) != 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)
& 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,[],[f8808]) ).
fof(f11207,plain,
( k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,sK1520)) != k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),sK1520)
& m1_subset_1(sK1520,u1_cat_1(sK1511))
& m1_nattra_1(sK1519,sK1511,sK1513,sK1516,sK1517)
& m1_nattra_1(sK1518,sK1511,sK1512,sK1514,sK1515)
& r1_nattra_1(sK1511,sK1512,sK1514,sK1515)
& r1_nattra_1(sK1511,sK1513,sK1516,sK1517)
& m2_cat_1(sK1517,sK1511,sK1513)
& m2_cat_1(sK1516,sK1511,sK1513)
& m2_cat_1(sK1515,sK1511,sK1512)
& m2_cat_1(sK1514,sK1511,sK1512)
& v2_cat_1(sK1513)
& l1_cat_1(sK1513)
& v2_cat_1(sK1512)
& l1_cat_1(sK1512)
& v2_cat_1(sK1511)
& l1_cat_1(sK1511) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519,sK1520]),skolemize(X0,sK1511),skolemize(X1,sK1512),skolemize(X2,sK1513),skolemize(X3,sK1514),skolemize(X4,sK1515),skolemize(X5,sK1516),skolemize(X6,sK1517),skolemize(X7,sK1518),skolemize(X8,sK1519),skolemize(X9,sK1520)],[f8809]) ).
fof(f18211,plain,
! [X0,X1] :
( ~ v2_cat_1(X1)
| k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1)) = u2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f8155]) ).
fof(f18293,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,[],[f8269]) ).
fof(f18294,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,[],[f8269]) ).
fof(f18376,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_nattra_1(X4,X0,X1,X2,X3)
| ~ m1_subset_1(X5,u1_cat_1(X0))
| k8_funct_2(u1_cat_1(X0),u2_cat_1(X1),X4,X5) = k5_nattra_1(X0,X1,X2,X3,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,[],[f8348]) ).
fof(f18717,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,[],[f8681]) ).
fof(f18723,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,[],[f8693]) ).
fof(f18817,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))
| 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_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,[],[f8797]) ).
fof(f18821,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,[],[f8805]) ).
fof(f18822,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,[],[f8807]) ).
fof(f18823,plain,
l1_cat_1(sK1511),
inference(cnf_transformation,[],[f11207]) ).
fof(f18824,plain,
v2_cat_1(sK1511),
inference(cnf_transformation,[],[f11207]) ).
fof(f18825,plain,
l1_cat_1(sK1512),
inference(cnf_transformation,[],[f11207]) ).
fof(f18826,plain,
v2_cat_1(sK1512),
inference(cnf_transformation,[],[f11207]) ).
fof(f18827,plain,
l1_cat_1(sK1513),
inference(cnf_transformation,[],[f11207]) ).
fof(f18828,plain,
v2_cat_1(sK1513),
inference(cnf_transformation,[],[f11207]) ).
fof(f18829,plain,
m2_cat_1(sK1514,sK1511,sK1512),
inference(cnf_transformation,[],[f11207]) ).
fof(f18830,plain,
m2_cat_1(sK1515,sK1511,sK1512),
inference(cnf_transformation,[],[f11207]) ).
fof(f18831,plain,
m2_cat_1(sK1516,sK1511,sK1513),
inference(cnf_transformation,[],[f11207]) ).
fof(f18832,plain,
m2_cat_1(sK1517,sK1511,sK1513),
inference(cnf_transformation,[],[f11207]) ).
fof(f18833,plain,
r1_nattra_1(sK1511,sK1513,sK1516,sK1517),
inference(cnf_transformation,[],[f11207]) ).
fof(f18834,plain,
r1_nattra_1(sK1511,sK1512,sK1514,sK1515),
inference(cnf_transformation,[],[f11207]) ).
fof(f18835,plain,
m1_nattra_1(sK1518,sK1511,sK1512,sK1514,sK1515),
inference(cnf_transformation,[],[f11207]) ).
fof(f18836,plain,
m1_nattra_1(sK1519,sK1511,sK1513,sK1516,sK1517),
inference(cnf_transformation,[],[f11207]) ).
fof(f18837,plain,
m1_subset_1(sK1520,u1_cat_1(sK1511)),
inference(cnf_transformation,[],[f11207]) ).
fof(f18838,plain,
k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,sK1520)) != k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),sK1520),
inference(cnf_transformation,[],[f11207]) ).
fof(f22475,definition,
sF1521 = k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520),
introduced(definition,[new_symbols(definition,[sF1521])],[function_definition]) ).
fof(f22476,plain,
k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520) = sF1521,
inference(reorient_equations,[],[f22475]) ).
fof(f22477,definition,
sF1522 = k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,sK1520),
introduced(definition,[new_symbols(definition,[sF1522])],[function_definition]) ).
fof(f22478,plain,
k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,sK1520) = sF1522,
inference(reorient_equations,[],[f22477]) ).
fof(f22479,definition,
sF1523 = k13_cat_2(sK1512,sK1513,sF1521,sF1522),
introduced(definition,[new_symbols(definition,[sF1523])],[function_definition]) ).
fof(f22480,plain,
k13_cat_2(sK1512,sK1513,sF1521,sF1522) = sF1523,
inference(reorient_equations,[],[f22479]) ).
fof(f22481,definition,
sF1524 = k11_cat_2(sK1512,sK1513),
introduced(definition,[new_symbols(definition,[sF1524])],[function_definition]) ).
fof(f22482,plain,
k11_cat_2(sK1512,sK1513) = sF1524,
inference(reorient_equations,[],[f22481]) ).
fof(f22483,definition,
sF1525 = k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),
introduced(definition,[new_symbols(definition,[sF1525])],[function_definition]) ).
fof(f22484,plain,
k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516) = sF1525,
inference(reorient_equations,[],[f22483]) ).
fof(f22485,definition,
sF1526 = k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),
introduced(definition,[new_symbols(definition,[sF1526])],[function_definition]) ).
fof(f22486,plain,
k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517) = sF1526,
inference(reorient_equations,[],[f22485]) ).
fof(f22487,definition,
sF1527 = k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),
introduced(definition,[new_symbols(definition,[sF1527])],[function_definition]) ).
fof(f22488,plain,
k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = sF1527,
inference(reorient_equations,[],[f22487]) ).
fof(f22489,definition,
sF1528 = k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,sK1520),
introduced(definition,[new_symbols(definition,[sF1528])],[function_definition]) ).
fof(f22490,plain,
k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,sK1520) = sF1528,
inference(reorient_equations,[],[f22489]) ).
fof(f22491,plain,
sF1523 != sF1528,
inference(definition_folding,[],[f18838,f22490,f22488,f22486,f22484,f22482,f22480,f22478,f22476]) ).
fof(f22492,definition,
sF1529 = u1_cat_1(sK1511),
introduced(definition,[new_symbols(definition,[sF1529])],[function_definition]) ).
fof(f22493,plain,
u1_cat_1(sK1511) = sF1529,
inference(reorient_equations,[],[f22492]) ).
fof(f22494,plain,
m1_subset_1(sK1520,sF1529),
inference(definition_folding,[],[f18837,f22493]) ).
fof(f26864,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(resolution,[],[f18817,f18836]) ).
fof(f26865,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26864,f18833]) ).
fof(f26867,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26865,f18832]) ).
fof(f26869,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26867,f18831]) ).
fof(f26871,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26869,f18828]) ).
fof(f26873,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26871,f18827]) ).
fof(f26875,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f26873,f18824]) ).
fof(f26877,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,u1_cat_1(sK1511))
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f26875,f18823]) ).
fof(f26879,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,sF1529)
| k8_funct_2(u1_cat_1(sK1511),k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0) = k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0))
| ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f26877,f22493]) ).
fof(f26881,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X2,sK1511,X1,X3,X4)
| ~ m1_subset_1(X0,sF1529)
| k13_cat_2(X1,sK1513,k5_nattra_1(sK1511,X1,X3,X4,X2,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(X1),u2_cat_1(sK1513),X2,sK1519),X0)
| ~ r1_nattra_1(sK1511,X1,X3,X4)
| ~ m2_cat_1(X4,sK1511,X1)
| ~ m2_cat_1(X3,sK1511,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_demodulation,[],[f26879,f22493]) ).
fof(f26966,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ 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))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X4,X6),X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X5),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f18723,f18376]) ).
fof(f26972,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ 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))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X4,X6),X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X5),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(duplicate_literal_removal,[],[f26966]) ).
fof(f26979,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ 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))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X4,X6),X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X5),X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f26972,f18294]) ).
fof(f26986,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ 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))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X4,X6),X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X5),X0,k11_cat_2(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f26979,f18293]) ).
fof(f26993,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ 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))
| ~ m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X5),X0,k11_cat_2(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f26986,f18717]) ).
fof(f27000,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,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))
| ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ v2_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f26993,f18717]) ).
fof(f27166,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(resolution,[],[f26881,f18835]) ).
fof(f27171,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27166,f18834]) ).
fof(f27174,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27171,f18830]) ).
fof(f27177,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27174,f18829]) ).
fof(f27180,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27177,f18826]) ).
fof(f27182,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,X0),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,X0)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),X0) ),
inference(forward_subsumption_resolution,[],[f27180,f18825]) ).
fof(f27185,plain,
k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520),k5_nattra_1(sK1511,sK1513,sK1516,sK1517,sK1519,sK1520)) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),sK1520),
inference(resolution,[],[f27182,f22494]) ).
fof(f27186,plain,
k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),sK1520) = k13_cat_2(sK1512,sK1513,k5_nattra_1(sK1511,sK1512,sK1514,sK1515,sK1518,sK1520),sF1522),
inference(forward_demodulation,[],[f27185,f22478]) ).
fof(f27187,plain,
k13_cat_2(sK1512,sK1513,sF1521,sF1522) = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),sK1520),
inference(forward_demodulation,[],[f27186,f22476]) ).
fof(f27188,plain,
sF1523 = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),sK1520),
inference(forward_demodulation,[],[f27187,f22480]) ).
fof(f27190,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(resolution,[],[f18822,f18836]) ).
fof(f27194,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27190,f18833]) ).
fof(f27197,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27194,f18832]) ).
fof(f27200,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27197,f18831]) ).
fof(f27203,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27200,f18828]) ).
fof(f27205,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1511)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27203,f18827]) ).
fof(f27207,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK1511) ),
inference(forward_subsumption_resolution,[],[f27205,f18824]) ).
fof(f27209,plain,
! [X2,X3,X0,X1] :
( k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(u1_cat_1(sK1511),u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f27207,f18823]) ).
fof(f27211,plain,
! [X2,X3,X0,X1] :
( ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519) = k14_funct_3(sF1529,u2_cat_1(X0),u2_cat_1(sK1513),X3,sK1519)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_demodulation,[],[f27209,f22493]) ).
fof(f27316,definition,
( spl1530_605
<=> ! [X0] :
( k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,X0) = k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,X0)
| ~ m1_subset_1(X0,sF1529) ) ),
introduced(definition,[new_symbols(definition,[spl1530_605])],[avatar_definition]) ).
fof(f27317,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,X0) = k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,X0) )
| ~ spl1530_605 ),
inference(avatar_component_clause,[],[f27316]) ).
fof(f27353,plain,
! [X0] :
( k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(sK1513)) = u2_cat_1(k11_cat_2(X0,sK1513))
| ~ l1_cat_1(sK1513)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f18211,f18828]) ).
fof(f27356,plain,
! [X0] :
( ~ v2_cat_1(X0)
| k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(sK1513)) = u2_cat_1(k11_cat_2(X0,sK1513))
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f27353,f18827]) ).
fof(f27438,plain,
( k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(resolution,[],[f27211,f18835]) ).
fof(f27446,plain,
( k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27438,f18834]) ).
fof(f27450,plain,
( k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27446,f18830]) ).
fof(f27454,plain,
( k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27450,f18829]) ).
fof(f27458,plain,
( k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519)
| ~ l1_cat_1(sK1512) ),
inference(forward_subsumption_resolution,[],[f27454,f18826]) ).
fof(f27461,plain,
k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519) = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),
inference(forward_subsumption_resolution,[],[f27458,f18825]) ).
fof(f27463,plain,
sF1527 = k14_funct_3(sF1529,u2_cat_1(sK1512),u2_cat_1(sK1513),sK1518,sK1519),
inference(forward_demodulation,[],[f27461,f22488]) ).
fof(f27487,plain,
sF1523 = k8_funct_2(sF1529,k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)),sF1527,sK1520),
inference(superposition,[],[f27188,f27463]) ).
fof(f28352,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 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_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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ v2_cat_1(X0)
| ~ 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(resolution,[],[f27000,f18821]) ).
fof(f28402,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ m1_nattra_1(X8,X0,X2,X5,X6)
| ~ 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)
| ~ l1_cat_1(X0)
| ~ 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) = k8_funct_2(u1_cat_1(X0),u2_cat_1(k11_cat_2(X1,X2)),k15_isocat_2(X0,X1,X2,X3,X4,X5,X6,X7,X8),X9)
| ~ v2_cat_1(X0)
| ~ r1_nattra_1(X0,X1,X3,X4)
| ~ r1_nattra_1(X0,X2,X5,X6) ),
inference(duplicate_literal_removal,[],[f28352]) ).
fof(f29998,plain,
( k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)) = u2_cat_1(k11_cat_2(sK1512,sK1513))
| ~ l1_cat_1(sK1512) ),
inference(resolution,[],[f27356,f18826]) ).
fof(f30003,plain,
k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)) = u2_cat_1(k11_cat_2(sK1512,sK1513)),
inference(forward_subsumption_resolution,[],[f29998,f18825]) ).
fof(f30006,plain,
k2_zfmisc_1(u2_cat_1(sK1512),u2_cat_1(sK1513)) = u2_cat_1(sF1524),
inference(forward_demodulation,[],[f30003,f22482]) ).
fof(f30497,plain,
sF1523 = k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,sK1520),
inference(superposition,[],[f27487,f30006]) ).
fof(f30605,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK1513)
| ~ l1_cat_1(sK1513)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ l1_cat_1(sK1511)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(resolution,[],[f28402,f18836]) ).
fof(f30615,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK1513)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ l1_cat_1(sK1511)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30605,f18828]) ).
fof(f30623,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(sK1516,sK1511,sK1513)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ l1_cat_1(sK1511)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30615,f18827]) ).
fof(f30631,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m2_cat_1(sK1517,sK1511,sK1513)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ l1_cat_1(sK1511)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30623,f18831]) ).
fof(f30639,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ l1_cat_1(sK1511)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30631,f18832]) ).
fof(f30645,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ v2_cat_1(sK1511)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30639,f18823]) ).
fof(f30651,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ r1_nattra_1(sK1511,X0,X1,X2)
| ~ r1_nattra_1(sK1511,sK1513,sK1516,sK1517) ),
inference(forward_subsumption_resolution,[],[f30645,f18824]) ).
fof(f30657,plain,
! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ m1_subset_1(X4,u1_cat_1(sK1511))
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ r1_nattra_1(sK1511,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f30651,f18833]) ).
fof(f30663,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,sF1529)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(u1_cat_1(sK1511),u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ r1_nattra_1(sK1511,X0,X1,X2) ),
inference(forward_demodulation,[],[f30657,f22493]) ).
fof(f30669,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_nattra_1(X3,sK1511,X0,X1,X2)
| ~ m1_subset_1(X4,sF1529)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,sK1511,X0)
| ~ m2_cat_1(X2,sK1511,X0)
| k5_nattra_1(sK1511,k11_cat_2(X0,sK1513),k10_isocat_2(sK1511,X0,sK1513,X1,sK1516),k10_isocat_2(sK1511,X0,sK1513,X2,sK1517),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(X0,sK1513)),k15_isocat_2(sK1511,X0,sK1513,X1,X2,sK1516,sK1517,X3,sK1519),X4)
| ~ r1_nattra_1(sK1511,X0,X1,X2) ),
inference(forward_demodulation,[],[f30663,f22493]) ).
fof(f30679,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| ~ v2_cat_1(sK1512)
| ~ l1_cat_1(sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515) ),
inference(resolution,[],[f30669,f18835]) ).
fof(f30689,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| ~ l1_cat_1(sK1512)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515) ),
inference(forward_subsumption_resolution,[],[f30679,f18826]) ).
fof(f30697,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| ~ m2_cat_1(sK1514,sK1511,sK1512)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515) ),
inference(forward_subsumption_resolution,[],[f30689,f18825]) ).
fof(f30705,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| ~ m2_cat_1(sK1515,sK1511,sK1512)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515) ),
inference(forward_subsumption_resolution,[],[f30697,f18829]) ).
fof(f30713,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0)
| ~ r1_nattra_1(sK1511,sK1512,sK1514,sK1515) ),
inference(forward_subsumption_resolution,[],[f30705,f18830]) ).
fof(f30720,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1529)
| k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),k15_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1515,sK1516,sK1517,sK1518,sK1519),X0) ),
inference(forward_subsumption_resolution,[],[f30713,f18834]) ).
fof(f30723,plain,
! [X0] :
( k5_nattra_1(sK1511,k11_cat_2(sK1512,sK1513),k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),sF1527,X0) = k8_funct_2(sF1529,u2_cat_1(k11_cat_2(sK1512,sK1513)),sF1527,X0)
| ~ m1_subset_1(X0,sF1529) ),
inference(forward_demodulation,[],[f30720,f22488]) ).
fof(f30725,plain,
! [X0] :
( k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,X0) = k5_nattra_1(sK1511,sF1524,k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),k10_isocat_2(sK1511,sK1512,sK1513,sK1515,sK1517),sF1527,X0)
| ~ m1_subset_1(X0,sF1529) ),
inference(forward_demodulation,[],[f30723,f22482]) ).
fof(f30727,plain,
! [X0] :
( k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,X0) = k5_nattra_1(sK1511,sF1524,k10_isocat_2(sK1511,sK1512,sK1513,sK1514,sK1516),sF1526,sF1527,X0)
| ~ m1_subset_1(X0,sF1529) ),
inference(forward_demodulation,[],[f30725,f22486]) ).
fof(f30728,plain,
! [X0] :
( k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,X0) = k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,X0)
| ~ m1_subset_1(X0,sF1529) ),
inference(forward_demodulation,[],[f30727,f22484]) ).
fof(f30729,plain,
spl1530_605,
inference(avatar_split_clause,[],[f30728,f27316]) ).
fof(f30787,plain,
( k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,sK1520) = k8_funct_2(sF1529,u2_cat_1(sF1524),sF1527,sK1520)
| ~ spl1530_605 ),
inference(resolution,[],[f27317,f22494]) ).
fof(f30788,plain,
( sF1523 = k5_nattra_1(sK1511,sF1524,sF1525,sF1526,sF1527,sK1520)
| ~ spl1530_605 ),
inference(forward_demodulation,[],[f30787,f30497]) ).
fof(f30789,plain,
( sF1523 = sF1528
| ~ spl1530_605 ),
inference(forward_demodulation,[],[f30788,f22490]) ).
fof(f30790,plain,
( $false
| ~ spl1530_605 ),
inference(forward_subsumption_resolution,[],[f30789,f22491]) ).
fof(f30791,plain,
~ spl1530_605,
inference(avatar_contradiction_clause,[],[f30790]) ).
cnf(s570,plain,
spl1530_605,
inference(sat_conversion,[],[f30729]) ).
cnf(s571,plain,
~ spl1530_605,
inference(sat_conversion,[],[f30791]) ).
cnf(s572,plain,
$false,
inference(rat,[],[s570,s571]) ).
fof(f30792,plain,
$false,
inference(avatar_sat_refutation,[],[s572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:22:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/2.83 % (3496953)Detected formulas, will run a generic FOF schedule.
% 13.84/2.83 % (3496958)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=1547865840:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.84/2.83 % (3496960)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=2002339019:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.84/2.83 % (3496959)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=3015645149:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.84/2.83 % (3496963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3035062188:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.84/2.83 % (3496961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=346962122:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.84/2.83 % (3496962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1760407643:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.84/2.83 % (3496964)dis-21_1_sil=8000:lcm=predicate:random_seed=194426569:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 13.84/2.83 % (3496961)Instruction limit reached!
% 13.84/2.83 % (3496961)------------------------------
% 13.84/2.83 % (3496961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/2.83 % (3496961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/2.83 % (3496961)CaDiCaL version: 2.1.3
% 13.84/2.83 % (3496961)Termination reason: Instruction limit
% 13.84/2.83 % (3496961)Termination phase: Saturation
% 13.84/2.83 % (3496961)Time elapsed: 0.064 s
% 13.84/2.83 % (3496961)Peak memory usage: 93 MB
% 13.84/2.83 % (3496961)Instructions burned: 109 (million)
% 13.84/2.83 % (3496962)Instruction limit reached!
% 13.84/2.83 % (3496962)------------------------------
% 13.84/2.83 % (3496962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/2.83 % (3496962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/2.83 % (3496962)CaDiCaL version: 2.1.3
% 13.84/2.83 % (3496962)Termination reason: Instruction limit
% 13.84/2.83 % (3496962)Termination phase: Saturation
% 13.84/2.83 % (3496962)Time elapsed: 0.069 s
% 13.84/2.83 % (3496962)Peak memory usage: 94 MB
% 13.84/2.83 % (3496962)Instructions burned: 119 (million)
% 13.84/2.83 % (3496964)Instruction limit reached!
% 13.84/2.83 % (3496964)------------------------------
% 13.84/2.83 % (3496964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/2.83 % (3496964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/2.83 % (3496964)CaDiCaL version: 2.1.3
% 13.84/2.83 % (3496964)Termination reason: Instruction limit
% 13.84/2.83 % (3496964)Termination phase: Preprocessing 3
% 13.84/2.83 % (3496964)Time elapsed: 0.087 s
% 13.84/2.83 % (3496964)Peak memory usage: 94 MB
% 13.84/2.83 % (3496964)Instructions burned: 129 (million)
% 13.84/2.83 % (3496963)Instruction limit reached!
% 13.84/2.83 % (3496963)------------------------------
% 13.84/2.83 % (3496963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/2.83 % (3496963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/2.83 % (3496963)CaDiCaL version: 2.1.3
% 13.84/2.83 % (3496963)Termination reason: Instruction limit
% 13.84/2.83 % (3496963)Termination phase: Preprocessing 3
% 13.84/2.83 % (3496963)Time elapsed: 0.091 s
% 13.84/2.83 % (3496963)Peak memory usage: 94 MB
% 13.84/2.83 % (3496963)Instructions burned: 139 (million)
% 13.84/2.83 % (3496973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1804666995:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.84/2.83 % (3496972)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886152051:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.84/2.83 % (3496975)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=898137235:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.84/2.83 % (3496974)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1018770917:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.84/2.83 % (3496973)Instruction limit reached!
% 14.35/2.98 % (3496973)------------------------------
% 14.35/2.98 % (3496973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496973)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496973)Termination reason: Instruction limit
% 14.35/2.98 % (3496973)Termination phase: Saturation
% 14.35/2.98 % (3496973)Time elapsed: 0.082 s
% 14.35/2.98 % (3496973)Peak memory usage: 94 MB
% 14.35/2.98 % (3496973)Instructions burned: 157 (million)
% 14.35/2.98 % (3496975)Instruction limit reached!
% 14.35/2.98 % (3496975)------------------------------
% 14.35/2.98 % (3496975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496975)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496975)Termination reason: Instruction limit
% 14.35/2.98 % (3496975)Termination phase: Property scanning
% 14.35/2.98 % (3496975)Time elapsed: 0.143 s
% 14.35/2.98 % (3496975)Peak memory usage: 99 MB
% 14.35/2.98 % (3496975)Instructions burned: 248 (million)
% 14.35/2.98 % (3496972)Instruction limit reached!
% 14.35/2.98 % (3496972)------------------------------
% 14.35/2.98 % (3496972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496972)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496972)Termination reason: Instruction limit
% 14.35/2.98 % (3496972)Termination phase: Saturation
% 14.35/2.98 % (3496972)Time elapsed: 0.186 s
% 14.35/2.98 % (3496972)Peak memory usage: 98 MB
% 14.35/2.98 % (3496972)Instructions burned: 285 (million)
% 14.35/2.98 % (3496980)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3435659958:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.35/2.98 % (3496974)Instruction limit reached!
% 14.35/2.98 % (3496974)------------------------------
% 14.35/2.98 % (3496974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496974)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496974)Termination reason: Instruction limit
% 14.35/2.98 % (3496974)Termination phase: Saturation
% 14.35/2.98 % (3496974)Time elapsed: 0.206 s
% 14.35/2.98 % (3496974)Peak memory usage: 97 MB
% 14.35/2.98 % (3496974)Instructions burned: 326 (million)
% 14.35/2.98 % (3496981)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2642731631:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.35/2.98 % (3496982)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1930168843:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.35/2.98 % (3496984)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4190452072:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.35/2.98 % (3496980)Instruction limit reached!
% 14.35/2.98 % (3496980)------------------------------
% 14.35/2.98 % (3496980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496980)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496980)Termination reason: Instruction limit
% 14.35/2.98 % (3496980)Termination phase: Saturation
% 14.35/2.98 % (3496980)Time elapsed: 0.174 s
% 14.35/2.98 % (3496980)Peak memory usage: 97 MB
% 14.35/2.98 % (3496980)Instructions burned: 294 (million)
% 14.35/2.98 % (3496982)Instruction limit reached!
% 14.35/2.98 % (3496982)------------------------------
% 14.35/2.98 % (3496982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496982)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496982)Termination reason: Instruction limit
% 14.35/2.98 % (3496982)Termination phase: Property scanning
% 14.35/2.98 % (3496982)Time elapsed: 0.071 s
% 14.35/2.98 % (3496982)Peak memory usage: 93 MB
% 14.35/2.98 % (3496982)Instructions burned: 114 (million)
% 14.35/2.98 % (3496984)Instruction limit reached!
% 14.35/2.98 % (3496984)------------------------------
% 14.35/2.98 % (3496984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496984)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496984)Termination reason: Instruction limit
% 14.35/2.98 % (3496984)Termination phase: Preprocessing 3
% 14.35/2.98 % (3496984)Time elapsed: 0.088 s
% 14.35/2.98 % (3496984)Peak memory usage: 97 MB
% 14.35/2.98 % (3496984)Instructions burned: 128 (million)
% 14.35/2.98 % (3496988)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1725464709:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.35/2.98 % (3496989)lrs+10_1_sil=8000:sp=occurrence:random_seed=3109027738:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 14.35/2.98 % (3496988)Instruction limit reached!
% 14.35/2.98 % (3496988)------------------------------
% 14.35/2.98 % (3496988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496988)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496988)Termination reason: Instruction limit
% 14.35/2.98 % (3496988)Termination phase: SInE selection
% 14.35/2.98 % (3496988)Time elapsed: 0.051 s
% 14.35/2.98 % (3496988)Peak memory usage: 89 MB
% 14.35/2.98 % (3496988)Instructions burned: 114 (million)
% 14.35/2.98 % (3496990)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=733949747:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.35/2.98 % (3496993)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2347590247:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.35/2.98 % (3496990)Instruction limit reached!
% 14.35/2.98 % (3496990)------------------------------
% 14.35/2.98 % (3496990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496990)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496990)Termination reason: Instruction limit
% 14.35/2.98 % (3496990)Termination phase: Saturation
% 14.35/2.98 % (3496990)Time elapsed: 0.246 s
% 14.35/2.98 % (3496990)Peak memory usage: 97 MB
% 14.35/2.98 % (3496990)Instructions burned: 437 (million)
% 14.35/2.98 % (3496996)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=545222522:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.35/2.98 % (3496996)Instruction limit reached!
% 14.35/2.98 % (3496996)------------------------------
% 14.35/2.98 % (3496996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496996)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496996)Termination reason: Instruction limit
% 14.35/2.98 % (3496996)Termination phase: Saturation
% 14.35/2.98 % (3496996)Time elapsed: 0.079 s
% 14.35/2.98 % (3496996)Peak memory usage: 95 MB
% 14.35/2.98 % (3496996)Instructions burned: 134 (million)
% 14.35/2.98 % (3496989)Instruction limit reached!
% 14.35/2.98 % (3496989)------------------------------
% 14.35/2.98 % (3496989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496989)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496989)Termination reason: Instruction limit
% 14.35/2.98 % (3496989)Termination phase: Saturation
% 14.35/2.98 % (3496989)Time elapsed: 0.550 s
% 14.35/2.98 % (3496989)Peak memory usage: 109 MB
% 14.35/2.98 % (3496989)Instructions burned: 908 (million)
% 14.35/2.98 % (3496998)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=636016562:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 14.35/2.98 % (3496999)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2772337872:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 14.35/2.98 % (3496998)Instruction limit reached!
% 14.35/2.98 % (3496998)------------------------------
% 14.35/2.98 % (3496998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496998)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496998)Termination reason: Instruction limit
% 14.35/2.98 % (3496998)Termination phase: Saturation
% 14.35/2.98 % (3496998)Time elapsed: 0.292 s
% 14.35/2.98 % (3496998)Peak memory usage: 104 MB
% 14.35/2.98 % (3496998)Instructions burned: 593 (million)
% 14.35/2.98 % (3496958)First to succeed.
% 14.35/2.98 % (3496958)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3496953"
% 14.35/2.98 % (3497002)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=570215719:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 14.35/2.98 % (3497002)Instruction limit reached!
% 14.35/2.98 % (3497002)------------------------------
% 14.35/2.98 % (3497002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3497002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3497002)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3497002)Termination reason: Instruction limit
% 14.35/2.98 % (3497002)Termination phase: Property scanning
% 14.35/2.98 % (3497002)Time elapsed: 0.080 s
% 14.35/2.98 % (3497002)Peak memory usage: 92 MB
% 14.35/2.98 % (3497002)Instructions burned: 128 (million)
% 14.35/2.98 % (3496981)Instruction limit reached!
% 14.35/2.98 % (3496981)------------------------------
% 14.35/2.98 % (3496981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.98 % (3496981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.98 % (3496981)CaDiCaL version: 2.1.3
% 14.35/2.98 % (3496981)Termination reason: Instruction limit
% 14.35/2.98 % (3496981)Termination phase: Saturation
% 14.35/2.98 % (3496981)Time elapsed: 1.458 s
% 14.35/2.98 % (3496981)Peak memory usage: 198 MB
% 14.35/2.98 % (3496981)Instructions burned: 2350 (million)
% 14.35/2.98 % (3496958)Refutation found. Thanks to Tanya!
% 14.35/2.98 % SZS status Theorem for theBenchmark
% 14.35/2.98 % SZS output start Proof for theBenchmark
% See solution above
% 15.91/3.17 % (3496958)------------------------------
% 15.91/3.17 % (3496958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.17 % (3496958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.17 % (3496958)CaDiCaL version: 2.1.3
% 15.91/3.17 % (3496958)Termination reason: Refutation
% 15.91/3.17 % (3496958)Time elapsed: 1.840 s
% 15.91/3.17 % (3496958)Peak memory usage: 228 MB
% 15.91/3.17 % (3496958)Instructions burned: 5690 (million)
% 15.91/3.17 % (3496958)------------------------------
% 15.91/3.17 % (3496958)------------------------------
% 15.91/3.17 % (3496953)Success in time 2.32 s
% 15.91/3.17 % Vampire exiting
%------------------------------------------------------------------------------