%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT030+1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:45 AM UTC 2026
% Result : Theorem 8.16s 1.67s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 41
% Syntax : Number of formulae : 421 ( 80 unt; 20 def)
% Number of atoms : 2003 ( 180 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2817 (1235 ~;1407 |; 115 &)
% ( 14 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 14 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 13 con; 0-5 aty)
% Number of variables : 427 ( 0 sgn 415 !; 12 ?)
% 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,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) = k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_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,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) = k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5)) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,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(f9,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(f10,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m1_subset_1(X2,u1_cat_1(X0))
& m1_subset_1(X3,u1_cat_1(X1)) )
=> m1_subset_1(k12_cat_2(X0,X1,X2,X3),u1_cat_1(k11_cat_2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_cat_2) ).
fof(f11,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)
& m1_subset_1(X3,u1_cat_1(X0)) )
=> m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_cat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k13_cat_1) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k14_funct_3) ).
fof(f22,axiom,
! [X0,X1] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u1_cat_1(X0)) )
=> m1_subset_1(k5_cat_1(X0,X1),u2_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_cat_1) ).
fof(f28,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_cat_1) ).
fof(f31,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f47,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& m1_subset_1(X1,u1_cat_1(X0)) )
=> k10_cat_1(X0,X1) = k5_cat_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_cat_1) ).
fof(f48,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) )
=> k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_isocat_2) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m1_subset_1(X2,u2_cat_1(X0))
& m1_subset_1(X3,u2_cat_1(X1)) )
=> k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k13_cat_2) ).
fof(f51,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) )
=> k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_funct_3) ).
fof(f52,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/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f53,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f55,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] :
( m1_subset_1(X3,u1_cat_1(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_cat_1(X1))
=> ( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) = k10_cat_1(X1,X4)
=> k13_cat_1(X0,X1,X2,X3) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_cat_1) ).
fof(f56,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] :
( m1_subset_1(X3,u1_cat_1(X0))
=> k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) = k10_cat_1(X1,k13_cat_1(X0,X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_cat_1) ).
fof(f60,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X1))
=> k10_cat_1(k11_cat_2(X0,X1),k12_cat_2(X0,X1,X2,X3)) = k13_cat_2(X0,X1,k10_cat_1(X0,X2),k10_cat_1(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_cat_2) ).
fof(f64,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X0,X2)
& m2_relset_1(X4,X0,X2) )
=> ! [X5] :
( m1_subset_1(X5,X0)
=> k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_funct_3) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) != k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5))
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& 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] :
( k13_cat_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5) != k12_cat_2(X1,X2,k13_cat_1(X0,X1,X3,X5),k13_cat_1(X0,X2,X4,X5))
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& 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(f75,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,[],[f8]) ).
fof(f76,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,[],[f75]) ).
fof(f77,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,[],[f9]) ).
fof(f78,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,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k12_cat_2(X0,X1,X2,X3),u1_cat_1(k11_cat_2(X0,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k12_cat_2(X0,X1,X2,X3),u1_cat_1(k11_cat_2(X0,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X1)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_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)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_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)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(flattening,[],[f81]) ).
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] :
( m1_subset_1(k5_cat_1(X0,X1),u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f90,plain,
! [X0,X1] :
( m1_subset_1(k5_cat_1(X0,X1),u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(flattening,[],[f89]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f107,plain,
! [X0,X1] :
( k10_cat_1(X0,X1) = k5_cat_1(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0,X1] :
( k10_cat_1(X0,X1) = k5_cat_1(X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(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) ),
inference(ennf_transformation,[],[f48]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(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) ),
inference(flattening,[],[f109]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(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) ),
inference(ennf_transformation,[],[f51]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(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) ),
inference(flattening,[],[f115]) ).
fof(f117,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,[],[f52]) ).
fof(f118,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,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k13_cat_1(X0,X1,X2,X3) = X4
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) != k10_cat_1(X1,X4)
| ~ m1_subset_1(X4,u1_cat_1(X1)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ 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,[],[f55]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k13_cat_1(X0,X1,X2,X3) = X4
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) != k10_cat_1(X1,X4)
| ~ m1_subset_1(X4,u1_cat_1(X1)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) = k10_cat_1(X1,k13_cat_1(X0,X1,X2,X3))
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ 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,[],[f56]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) = k10_cat_1(X1,k13_cat_1(X0,X1,X2,X3))
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f121]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k10_cat_1(k11_cat_2(X0,X1),k12_cat_2(X0,X1,X2,X3)) = k13_cat_2(X0,X1,k10_cat_1(X0,X2),k10_cat_1(X1,X3))
| ~ m1_subset_1(X3,u1_cat_1(X1)) )
| ~ m1_subset_1(X2,u1_cat_1(X0)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k10_cat_1(k11_cat_2(X0,X1),k12_cat_2(X0,X1,X2,X3)) = k13_cat_2(X0,X1,k10_cat_1(X0,X2),k10_cat_1(X1,X3))
| ~ m1_subset_1(X3,u1_cat_1(X1)) )
| ~ m1_subset_1(X2,u1_cat_1(X0)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f127]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| v1_xboole_0(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| v1_xboole_0(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f133]) ).
fof(f137,plain,
( k13_cat_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5) != k12_cat_2(sK1,sK2,k13_cat_1(sK0,sK1,sK3,sK5),k13_cat_1(sK0,sK2,sK4,sK5))
& m1_subset_1(sK5,u1_cat_1(sK0))
& m2_cat_1(sK4,sK0,sK2)
& 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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f70]) ).
fof(f148,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,[],[f53]) ).
fof(f149,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f137]) ).
fof(f150,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f137]) ).
fof(f151,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f152,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f153,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f154,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f155,plain,
m2_cat_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f137]) ).
fof(f156,plain,
m2_cat_1(sK4,sK0,sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f157,plain,
m1_subset_1(sK5,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f137]) ).
fof(f158,plain,
k13_cat_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5) != k12_cat_2(sK1,sK2,k13_cat_1(sK0,sK1,sK3,sK5),k13_cat_1(sK0,sK2,sK4,sK5)),
inference(cnf_transformation,[],[f137]) ).
fof(f161,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f164,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,[],[f76]) ).
fof(f165,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,[],[f78]) ).
fof(f166,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,[],[f78]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k12_cat_2(X0,X1,X2,X3),u1_cat_1(k11_cat_2(X0,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k13_cat_1(X0,X1,X2,X3),u1_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)
| ~ m1_subset_1(X3,u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f172,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(f173,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(f175,plain,
! [X0,X1] :
( m1_subset_1(k5_cat_1(X0,X1),u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f178,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f179,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,X1)
| v1_funct_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f183,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f201,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k10_cat_1(X0,X1) = k5_cat_1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,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)
| k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
inference(cnf_transformation,[],[f110]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,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)
| k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
inference(cnf_transformation,[],[f116]) ).
fof(f206,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,[],[f118]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4] :
( k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) != k10_cat_1(X1,X4)
| k13_cat_1(X0,X1,X2,X3) = X4
| ~ m1_subset_1(X4,u1_cat_1(X1))
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ 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,[],[f120]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u1_cat_1(X0))
| k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,k10_cat_1(X0,X3)) = k10_cat_1(X1,k13_cat_1(X0,X1,X2,X3))
| ~ 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,[],[f122]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u1_cat_1(X1))
| k10_cat_1(k11_cat_2(X0,X1),k12_cat_2(X0,X1,X2,X3)) = k13_cat_2(X0,X1,k10_cat_1(X0,X2),k10_cat_1(X1,X3))
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,u2_cat_1(X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| k13_cat_2(X0,X1,X2,X3) = k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)) ),
inference(definition_unfolding,[],[f204,f162]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X4,X0,X2)
| ~ m1_subset_1(X5,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k2_tarski(k2_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5)),k1_tarski(k8_funct_2(X0,X1,X3,X5)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f219,f162]) ).
fof(f225,definition,
sF16 = k11_cat_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f226,plain,
k11_cat_2(sK1,sK2) = sF16,
inference(reorient_equations,[],[f225]) ).
fof(f227,definition,
sF17 = k10_isocat_2(sK0,sK1,sK2,sK3,sK4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f228,plain,
k10_isocat_2(sK0,sK1,sK2,sK3,sK4) = sF17,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF18 = k13_cat_1(sK0,sF16,sF17,sK5),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f230,plain,
k13_cat_1(sK0,sF16,sF17,sK5) = sF18,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF19 = k13_cat_1(sK0,sK1,sK3,sK5),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f232,plain,
k13_cat_1(sK0,sK1,sK3,sK5) = sF19,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF20 = k13_cat_1(sK0,sK2,sK4,sK5),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f234,plain,
k13_cat_1(sK0,sK2,sK4,sK5) = sF20,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF21 = k12_cat_2(sK1,sK2,sF19,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f236,plain,
k12_cat_2(sK1,sK2,sF19,sF20) = sF21,
inference(reorient_equations,[],[f235]) ).
fof(f237,plain,
sF18 != sF21,
inference(definition_folding,[],[f158,f236,f234,f232,f230,f228,f226]) ).
fof(f238,definition,
sF22 = u1_cat_1(sK0),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f239,plain,
u1_cat_1(sK0) = sF22,
inference(reorient_equations,[],[f238]) ).
fof(f240,plain,
m1_subset_1(sK5,sF22),
inference(definition_folding,[],[f157,f239]) ).
fof(f241,plain,
( l1_cat_1(sF16)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f165,f226]) ).
fof(f242,plain,
( l1_cat_1(sF16)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f241,f152]) ).
fof(f243,plain,
( l1_cat_1(sF16)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f242,f151]) ).
fof(f244,plain,
( l1_cat_1(sF16)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f243,f154]) ).
fof(f245,plain,
l1_cat_1(sF16),
inference(forward_subsumption_resolution,[],[f244,f153]) ).
fof(f246,plain,
( v2_cat_1(sF16)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(superposition,[],[f166,f226]) ).
fof(f247,plain,
( v2_cat_1(sF16)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f246,f152]) ).
fof(f248,plain,
( v2_cat_1(sF16)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f247,f151]) ).
fof(f249,plain,
( v2_cat_1(sF16)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f248,f154]) ).
fof(f250,plain,
v2_cat_1(sF16),
inference(forward_subsumption_resolution,[],[f249,f153]) ).
fof(f252,plain,
! [X0,X1] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X1,sK0,X0)
| k10_isocat_2(sK0,X0,sK2,X1,sK4) = k13_funct_3(X1,sK4) ),
inference(resolution,[],[f202,f156]) ).
fof(f253,plain,
! [X0,X1] :
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X1,sK0,X0)
| k10_isocat_2(sK0,X0,sK2,X1,sK4) = k13_funct_3(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f252,f150]) ).
fof(f255,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X1,sK0,X0)
| k10_isocat_2(sK0,X0,sK2,X1,sK4) = k13_funct_3(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f253,f149]) ).
fof(f257,plain,
! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X1,sK0,X0)
| k10_isocat_2(sK0,X0,sK2,X1,sK4) = k13_funct_3(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f255,f154]) ).
fof(f259,plain,
! [X0,X1] :
( ~ m2_cat_1(X1,sK0,X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k10_isocat_2(sK0,X0,sK2,X1,sK4) = k13_funct_3(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f257,f153]) ).
fof(f261,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(superposition,[],[f168,f234]) ).
fof(f262,plain,
( m1_subset_1(sF19,u1_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)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(superposition,[],[f168,f232]) ).
fof(f267,plain,
( m1_subset_1(sF19,u1_cat_1(sK1))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f262,f150]) ).
fof(f268,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f261,f150]) ).
fof(f271,plain,
( m1_subset_1(sF19,u1_cat_1(sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f267,f149]) ).
fof(f272,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f268,f149]) ).
fof(f274,plain,
( m1_subset_1(sF19,u1_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f271,f152]) ).
fof(f275,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f272,f154]) ).
fof(f277,plain,
( m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f274,f151]) ).
fof(f278,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f275,f153]) ).
fof(f280,plain,
( m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f277,f155]) ).
fof(f281,plain,
( m1_subset_1(sF20,u1_cat_1(sK2))
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f278,f156]) ).
fof(f283,plain,
( ~ m1_subset_1(sK5,sF22)
| m1_subset_1(sF19,u1_cat_1(sK1)) ),
inference(forward_demodulation,[],[f280,f239]) ).
fof(f284,plain,
( ~ m1_subset_1(sK5,sF22)
| m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_demodulation,[],[f281,f239]) ).
fof(f286,definition,
( spl23_1
<=> m2_cat_1(sF17,sK0,sF16) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f287,plain,
( m2_cat_1(sF17,sK0,sF16)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( ~ m2_cat_1(sF17,sK0,sF16)
| spl23_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f294,plain,
m1_subset_1(sF19,u1_cat_1(sK1)),
inference(forward_subsumption_resolution,[],[f283,f240]) ).
fof(f295,plain,
m1_subset_1(sF20,u1_cat_1(sK2)),
inference(forward_subsumption_resolution,[],[f284,f240]) ).
fof(f296,plain,
( v1_funct_1(sK3)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f180,f155]) ).
fof(f297,plain,
( v1_funct_1(sK4)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f180,f156]) ).
fof(f298,plain,
( v1_funct_1(sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f297,f150]) ).
fof(f299,plain,
( v1_funct_1(sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f296,f150]) ).
fof(f300,plain,
( v1_funct_1(sK4)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f298,f149]) ).
fof(f301,plain,
( v1_funct_1(sK3)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f299,f149]) ).
fof(f302,plain,
( v1_funct_1(sK4)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f300,f154]) ).
fof(f303,plain,
( v1_funct_1(sK3)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f301,f152]) ).
fof(f304,plain,
v1_funct_1(sK4),
inference(forward_subsumption_resolution,[],[f302,f153]) ).
fof(f305,plain,
v1_funct_1(sK3),
inference(forward_subsumption_resolution,[],[f303,f151]) ).
fof(f308,plain,
( m2_cat_1(sF17,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(sK4,sK0,sK2) ),
inference(superposition,[],[f164,f228]) ).
fof(f313,plain,
( m2_cat_1(sF17,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(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f308,f150]) ).
fof(f317,plain,
( m2_cat_1(sF17,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(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f313,f149]) ).
fof(f321,plain,
( m2_cat_1(sF17,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(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f317,f152]) ).
fof(f323,plain,
( m2_cat_1(sF17,sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f321,f151]) ).
fof(f324,plain,
( m2_cat_1(sF17,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f323,f154]) ).
fof(f325,plain,
( m2_cat_1(sF17,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f324,f153]) ).
fof(f326,plain,
( m2_cat_1(sF17,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f325,f155]) ).
fof(f327,plain,
m2_cat_1(sF17,sK0,k11_cat_2(sK1,sK2)),
inference(forward_subsumption_resolution,[],[f326,f156]) ).
fof(f328,plain,
m2_cat_1(sF17,sK0,sF16),
inference(forward_demodulation,[],[f327,f226]) ).
fof(f329,plain,
( $false
| spl23_1 ),
inference(forward_subsumption_resolution,[],[f328,f288]) ).
fof(f330,plain,
spl23_1,
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f331,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k10_isocat_2(sK0,sK1,sK2,sK3,sK4) = k13_funct_3(sK3,sK4) ),
inference(resolution,[],[f259,f155]) ).
fof(f336,plain,
( ~ v2_cat_1(sK1)
| k10_isocat_2(sK0,sK1,sK2,sK3,sK4) = k13_funct_3(sK3,sK4) ),
inference(forward_subsumption_resolution,[],[f331,f151]) ).
fof(f339,plain,
k10_isocat_2(sK0,sK1,sK2,sK3,sK4) = k13_funct_3(sK3,sK4),
inference(forward_subsumption_resolution,[],[f336,f152]) ).
fof(f341,plain,
sF17 = k13_funct_3(sK3,sK4),
inference(forward_demodulation,[],[f339,f228]) ).
fof(f382,plain,
( v1_funct_1(sF17)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1 ),
inference(resolution,[],[f287,f180]) ).
fof(f385,plain,
( v1_funct_1(sF17)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f382,f150]) ).
fof(f389,plain,
( v1_funct_1(sF17)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f385,f149]) ).
fof(f393,plain,
( v1_funct_1(sF17)
| ~ l1_cat_1(sF16)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f389,f250]) ).
fof(f395,plain,
( v1_funct_1(sF17)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f393,f245]) ).
fof(f421,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(superposition,[],[f167,f236]) ).
fof(f424,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f421,f152]) ).
fof(f428,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f424,f151]) ).
fof(f432,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f428,f154]) ).
fof(f435,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sF19,u1_cat_1(sK1))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f432,f153]) ).
fof(f436,plain,
( m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f435,f294]) ).
fof(f437,plain,
m1_subset_1(sF21,u1_cat_1(k11_cat_2(sK1,sK2))),
inference(forward_subsumption_resolution,[],[f436,f295]) ).
fof(f438,plain,
m1_subset_1(sF21,u1_cat_1(sF16)),
inference(forward_demodulation,[],[f437,f226]) ).
fof(f481,plain,
! [X2,X0,X1] :
( m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2))
| ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(resolution,[],[f207,f178]) ).
fof(f486,plain,
! [X0,X1] :
( k10_cat_1(k11_cat_2(X0,sK2),k12_cat_2(X0,sK2,X1,sF20)) = k13_cat_2(X0,sK2,k10_cat_1(X0,X1),k10_cat_1(sK2,sF20))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f215,f295]) ).
fof(f492,plain,
! [X0,X1] :
( k10_cat_1(k11_cat_2(X0,sK2),k12_cat_2(X0,sK2,X1,sF20)) = k13_cat_2(X0,sK2,k10_cat_1(X0,X1),k10_cat_1(sK2,sF20))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f486,f154]) ).
fof(f498,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_cat_1(X0))
| k10_cat_1(k11_cat_2(X0,sK2),k12_cat_2(X0,sK2,X1,sF20)) = k13_cat_2(X0,sK2,k10_cat_1(X0,X1),k10_cat_1(sK2,sF20))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f492,f153]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF22)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(X1),X2,k10_cat_1(sK0,X0)) = k10_cat_1(X1,k13_cat_1(sK0,X1,X2,X0))
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) ),
inference(superposition,[],[f211,f239]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF22)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(X1),X2,k10_cat_1(sK0,X0)) = k10_cat_1(X1,k13_cat_1(sK0,X1,X2,X0))
| ~ m2_cat_1(X2,sK0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f520,f150]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,sK0,X1)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(X1),X2,k10_cat_1(sK0,X0)) = k10_cat_1(X1,k13_cat_1(sK0,X1,X2,X0))
| ~ m1_subset_1(X0,sF22)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(forward_subsumption_resolution,[],[f522,f149]) ).
fof(f534,plain,
! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,X0)) = k10_cat_1(sK1,k13_cat_1(sK0,sK1,sK3,X0))
| ~ m1_subset_1(X0,sF22)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f528,f155]) ).
fof(f535,plain,
! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,X0)) = k10_cat_1(sK2,k13_cat_1(sK0,sK2,sK4,X0))
| ~ m1_subset_1(X0,sF22)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f528,f156]) ).
fof(f536,plain,
( ! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,X0)) = k10_cat_1(sF16,k13_cat_1(sK0,sF16,sF17,X0))
| ~ m1_subset_1(X0,sF22)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16) )
| ~ spl23_1 ),
inference(resolution,[],[f528,f287]) ).
fof(f541,plain,
( ! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,X0)) = k10_cat_1(sF16,k13_cat_1(sK0,sF16,sF17,X0))
| ~ m1_subset_1(X0,sF22)
| ~ l1_cat_1(sF16) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f536,f250]) ).
fof(f542,plain,
! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,X0)) = k10_cat_1(sK2,k13_cat_1(sK0,sK2,sK4,X0))
| ~ m1_subset_1(X0,sF22)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f535,f154]) ).
fof(f543,plain,
! [X0] :
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,X0)) = k10_cat_1(sK1,k13_cat_1(sK0,sK1,sK3,X0))
| ~ m1_subset_1(X0,sF22)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f534,f152]) ).
fof(f546,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,X0)) = k10_cat_1(sF16,k13_cat_1(sK0,sF16,sF17,X0)) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f541,f245]) ).
fof(f547,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,X0)) = k10_cat_1(sK2,k13_cat_1(sK0,sK2,sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f542,f153]) ).
fof(f548,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,X0)) = k10_cat_1(sK1,k13_cat_1(sK0,sK1,sK3,X0)) ),
inference(forward_subsumption_resolution,[],[f543,f151]) ).
fof(f553,plain,
k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5)) = k10_cat_1(sK1,k13_cat_1(sK0,sK1,sK3,sK5)),
inference(resolution,[],[f548,f240]) ).
fof(f554,plain,
k10_cat_1(sK1,sF19) = k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5)),
inference(forward_demodulation,[],[f553,f232]) ).
fof(f555,plain,
k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,sK5)) = k10_cat_1(sK2,k13_cat_1(sK0,sK2,sK4,sK5)),
inference(resolution,[],[f547,f240]) ).
fof(f556,plain,
k10_cat_1(sK2,sF20) = k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,sK5)),
inference(forward_demodulation,[],[f555,f234]) ).
fof(f595,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| k10_cat_1(sK1,sF19) = k5_cat_1(sK1,sF19) ),
inference(resolution,[],[f201,f294]) ).
fof(f596,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| k10_cat_1(sK2,sF20) = k5_cat_1(sK2,sF20) ),
inference(resolution,[],[f201,f295]) ).
fof(f598,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| k10_cat_1(sK0,X0) = k5_cat_1(sK0,X0) ),
inference(superposition,[],[f201,f239]) ).
fof(f600,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ l1_cat_1(sK0)
| k10_cat_1(sK0,X0) = k5_cat_1(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f598,f150]) ).
fof(f602,plain,
( ~ l1_cat_1(sK2)
| k10_cat_1(sK2,sF20) = k5_cat_1(sK2,sF20) ),
inference(forward_subsumption_resolution,[],[f596,f154]) ).
fof(f603,plain,
( ~ l1_cat_1(sK1)
| k10_cat_1(sK1,sF19) = k5_cat_1(sK1,sF19) ),
inference(forward_subsumption_resolution,[],[f595,f152]) ).
fof(f607,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| k10_cat_1(sK0,X0) = k5_cat_1(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f600,f149]) ).
fof(f609,plain,
k10_cat_1(sK2,sF20) = k5_cat_1(sK2,sF20),
inference(forward_subsumption_resolution,[],[f602,f153]) ).
fof(f610,plain,
k10_cat_1(sK1,sF19) = k5_cat_1(sK1,sF19),
inference(forward_subsumption_resolution,[],[f603,f151]) ).
fof(f614,plain,
k10_cat_1(sK0,sK5) = k5_cat_1(sK0,sK5),
inference(resolution,[],[f607,f240]) ).
fof(f686,definition,
( spl23_3
<=> m1_subset_1(k10_cat_1(sK0,sK5),u2_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f687,plain,
( m1_subset_1(k10_cat_1(sK0,sK5),u2_cat_1(sK0))
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f688,plain,
( ~ m1_subset_1(k10_cat_1(sK0,sK5),u2_cat_1(sK0))
| spl23_3 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f690,definition,
( spl23_4
<=> m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f691,plain,
( m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl23_4 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f694,definition,
( spl23_5
<=> v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl23_5])],[avatar_definition]) ).
fof(f695,plain,
( v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl23_5 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f698,definition,
( spl23_6
<=> v1_xboole_0(u2_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f699,plain,
( ~ v1_xboole_0(u2_cat_1(sK0))
| spl23_6 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( v1_xboole_0(u2_cat_1(sK0))
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f702,definition,
( spl23_7
<=> m1_subset_1(k10_cat_1(sK2,sF20),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
fof(f704,plain,
( m1_subset_1(k10_cat_1(sK2,sF20),u2_cat_1(sK2))
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f707,definition,
( spl23_8
<=> m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).
fof(f708,plain,
( m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| spl23_8 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f711,definition,
( spl23_9
<=> v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f712,plain,
( v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f713,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| spl23_9 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f715,definition,
( spl23_10
<=> m1_subset_1(k10_cat_1(sK1,sF19),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f717,plain,
( m1_subset_1(k10_cat_1(sK1,sF19),u2_cat_1(sK1))
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f831,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,[],[f172,f207]) ).
fof(f888,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,sK5)) = k10_cat_1(sF16,k13_cat_1(sK0,sF16,sF17,sK5))
| ~ spl23_1 ),
inference(resolution,[],[f546,f240]) ).
fof(f890,plain,
( k10_cat_1(sF16,sF18) = k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,sK5))
| ~ spl23_1 ),
inference(forward_demodulation,[],[f888,f230]) ).
fof(f891,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sF17,sK0,sF16)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) )
| ~ spl23_1 ),
inference(superposition,[],[f210,f890]) ).
fof(f893,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f891,f287]) ).
fof(f894,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ l1_cat_1(sF16)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f893,f250]) ).
fof(f895,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f894,f245]) ).
fof(f896,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ l1_cat_1(sK0) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f895,f150]) ).
fof(f897,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| k13_cat_1(sK0,sF16,sF17,sK5) = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f896,f149]) ).
fof(f898,plain,
( ! [X0] :
( sF18 = X0
| k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| ~ m1_subset_1(X0,u1_cat_1(sF16))
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) )
| ~ spl23_1 ),
inference(forward_demodulation,[],[f897,f230]) ).
fof(f899,plain,
( ! [X0] :
( ~ m1_subset_1(sK5,sF22)
| sF18 = X0
| k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| ~ m1_subset_1(X0,u1_cat_1(sF16)) )
| ~ spl23_1 ),
inference(forward_demodulation,[],[f898,f239]) ).
fof(f900,plain,
( ! [X0] :
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,X0)
| sF18 = X0
| ~ m1_subset_1(X0,u1_cat_1(sF16)) )
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f899,f240]) ).
fof(f943,plain,
( m1_subset_1(k10_cat_1(sK0,sK5),u2_cat_1(sK0))
| ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK5,u1_cat_1(sK0)) ),
inference(superposition,[],[f175,f614]) ).
fof(f944,plain,
( m1_subset_1(k10_cat_1(sK1,sF19),u2_cat_1(sK1))
| ~ l1_cat_1(sK1)
| ~ m1_subset_1(sF19,u1_cat_1(sK1)) ),
inference(superposition,[],[f175,f610]) ).
fof(f945,plain,
( m1_subset_1(k10_cat_1(sK2,sF20),u2_cat_1(sK2))
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(superposition,[],[f175,f609]) ).
fof(f951,plain,
( m1_subset_1(k10_cat_1(sK2,sF20),u2_cat_1(sK2))
| ~ m1_subset_1(sF20,u1_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f945,f153]) ).
fof(f952,plain,
( m1_subset_1(k10_cat_1(sK1,sF19),u2_cat_1(sK1))
| ~ m1_subset_1(sF19,u1_cat_1(sK1)) ),
inference(forward_subsumption_resolution,[],[f944,f151]) ).
fof(f953,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f943,f688]) ).
fof(f958,plain,
m1_subset_1(k10_cat_1(sK2,sF20),u2_cat_1(sK2)),
inference(forward_subsumption_resolution,[],[f951,f295]) ).
fof(f959,plain,
m1_subset_1(k10_cat_1(sK1,sF19),u2_cat_1(sK1)),
inference(forward_subsumption_resolution,[],[f952,f294]) ).
fof(f960,plain,
( ~ m1_subset_1(sK5,u1_cat_1(sK0))
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f953,f149]) ).
fof(f961,plain,
spl23_7,
inference(avatar_split_clause,[],[f958,f702]) ).
fof(f962,plain,
spl23_10,
inference(avatar_split_clause,[],[f959,f715]) ).
fof(f963,plain,
( ~ m1_subset_1(sK5,sF22)
| spl23_3 ),
inference(forward_demodulation,[],[f960,f239]) ).
fof(f964,plain,
( $false
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f963,f240]) ).
fof(f965,plain,
spl23_3,
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f976,plain,
( ~ l1_cat_1(sK0)
| ~ spl23_6 ),
inference(resolution,[],[f700,f183]) ).
fof(f977,plain,
( $false
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f976,f149]) ).
fof(f978,plain,
~ spl23_6,
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f982,definition,
( spl23_27
<=> v1_xboole_0(u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
fof(f983,plain,
( ~ v1_xboole_0(u2_cat_1(sK1))
| spl23_27 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f984,plain,
( v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f993,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| k13_cat_2(X0,sK2,X1,k10_cat_1(sK2,sF20)) = k2_tarski(k2_tarski(X1,k10_cat_1(sK2,sF20)),k1_tarski(X1)) )
| ~ spl23_7 ),
inference(resolution,[],[f704,f223]) ).
fof(f996,definition,
( spl23_29
<=> v1_xboole_0(u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).
fof(f997,plain,
( ~ v1_xboole_0(u2_cat_1(sK2))
| spl23_29 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f998,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1004,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| k13_cat_2(X0,sK2,X1,k10_cat_1(sK2,sF20)) = k2_tarski(k2_tarski(X1,k10_cat_1(sK2,sF20)),k1_tarski(X1)) )
| ~ spl23_7 ),
inference(forward_subsumption_resolution,[],[f993,f154]) ).
fof(f1005,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u2_cat_1(X0))
| k13_cat_2(X0,sK2,X1,k10_cat_1(sK2,sF20)) = k2_tarski(k2_tarski(X1,k10_cat_1(sK2,sF20)),k1_tarski(X1)) )
| ~ spl23_7 ),
inference(forward_subsumption_resolution,[],[f1004,f153]) ).
fof(f1006,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u2_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k13_cat_2(X0,sK2,X1,k10_cat_1(sK2,sF20)) = k2_tarski(k1_tarski(X1),k2_tarski(X1,k10_cat_1(sK2,sF20))) )
| ~ spl23_7 ),
inference(forward_demodulation,[],[f1005,f161]) ).
fof(f1007,plain,
( ~ l1_cat_1(sK1)
| ~ spl23_27 ),
inference(resolution,[],[f984,f183]) ).
fof(f1008,plain,
( $false
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f1007,f151]) ).
fof(f1009,plain,
~ spl23_27,
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1010,plain,
( ~ l1_cat_1(sK2)
| ~ spl23_29 ),
inference(resolution,[],[f998,f183]) ).
fof(f1011,plain,
( $false
| ~ spl23_29 ),
inference(forward_subsumption_resolution,[],[f1010,f153]) ).
fof(f1012,plain,
~ spl23_29,
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1438,plain,
( k10_cat_1(k11_cat_2(sK1,sK2),k12_cat_2(sK1,sK2,sF19,sF20)) = k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f498,f294]) ).
fof(f1446,plain,
( k10_cat_1(k11_cat_2(sK1,sK2),k12_cat_2(sK1,sK2,sF19,sF20)) = k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20))
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f1438,f152]) ).
fof(f1453,plain,
k10_cat_1(k11_cat_2(sK1,sK2),k12_cat_2(sK1,sK2,sF19,sF20)) = k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)),
inference(forward_subsumption_resolution,[],[f1446,f151]) ).
fof(f1457,plain,
k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)) = k10_cat_1(k11_cat_2(sK1,sK2),sF21),
inference(forward_demodulation,[],[f1453,f236]) ).
fof(f1458,plain,
k10_cat_1(sF16,sF21) = k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)),
inference(forward_demodulation,[],[f1457,f226]) ).
fof(f1798,definition,
( spl23_36
<=> m1_relset_1(sF17,u2_cat_1(sK0),u2_cat_1(sF16)) ),
introduced(definition,[new_symbols(definition,[spl23_36])],[avatar_definition]) ).
fof(f1799,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f1800,plain,
( ~ m1_relset_1(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| spl23_36 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f1802,definition,
( spl23_37
<=> v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16)) ),
introduced(definition,[new_symbols(definition,[spl23_37])],[avatar_definition]) ).
fof(f1803,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1804,plain,
( ~ v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| spl23_37 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1810,plain,
( ~ m2_cat_1(sF17,sK0,sF16)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| spl23_36 ),
inference(resolution,[],[f1800,f481]) ).
fof(f1811,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_36 ),
inference(forward_subsumption_resolution,[],[f1810,f287]) ).
fof(f1812,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_36 ),
inference(forward_subsumption_resolution,[],[f1811,f150]) ).
fof(f1813,plain,
( ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_36 ),
inference(forward_subsumption_resolution,[],[f1812,f149]) ).
fof(f1814,plain,
( ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_36 ),
inference(forward_subsumption_resolution,[],[f1813,f250]) ).
fof(f1815,plain,
( $false
| ~ spl23_1
| spl23_36 ),
inference(forward_subsumption_resolution,[],[f1814,f245]) ).
fof(f1816,plain,
( ~ spl23_1
| spl23_36 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1817,plain,
( ~ m2_cat_1(sF17,sK0,sF16)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| spl23_37 ),
inference(resolution,[],[f1804,f179]) ).
fof(f1818,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_37 ),
inference(forward_subsumption_resolution,[],[f1817,f287]) ).
fof(f1819,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_37 ),
inference(forward_subsumption_resolution,[],[f1818,f150]) ).
fof(f1820,plain,
( ~ v2_cat_1(sF16)
| ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_37 ),
inference(forward_subsumption_resolution,[],[f1819,f149]) ).
fof(f1821,plain,
( ~ l1_cat_1(sF16)
| ~ spl23_1
| spl23_37 ),
inference(forward_subsumption_resolution,[],[f1820,f250]) ).
fof(f1822,plain,
( $false
| ~ spl23_1
| spl23_37 ),
inference(forward_subsumption_resolution,[],[f1821,f245]) ).
fof(f1823,plain,
( ~ spl23_1
| spl23_37 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f1827,plain,
( ! [X0] :
( v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sF17)
| ~ v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,X0) = k1_funct_1(sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| ~ spl23_36 ),
inference(resolution,[],[f1799,f206]) ).
fof(f1829,plain,
( ! [X0] :
( ~ v1_funct_1(sF17)
| ~ v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,X0) = k1_funct_1(sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| spl23_6
| ~ spl23_36 ),
inference(forward_subsumption_resolution,[],[f1827,f699]) ).
fof(f1833,plain,
( ! [X0] :
( ~ v1_funct_2(sF17,u2_cat_1(sK0),u2_cat_1(sF16))
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,X0) = k1_funct_1(sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| ~ spl23_1
| spl23_6
| ~ spl23_36 ),
inference(forward_subsumption_resolution,[],[f1829,f395]) ).
fof(f1837,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,X0) = k1_funct_1(sF17,X0) )
| ~ spl23_1
| spl23_6
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_subsumption_resolution,[],[f1833,f1803]) ).
fof(f1842,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(sF16),sF17,k10_cat_1(sK0,sK5)) = k1_funct_1(sF17,k10_cat_1(sK0,sK5))
| ~ spl23_1
| ~ spl23_3
| spl23_6
| ~ spl23_36
| ~ spl23_37 ),
inference(resolution,[],[f1837,f687]) ).
fof(f1847,plain,
( k10_cat_1(sF16,sF18) = k1_funct_1(sF17,k10_cat_1(sK0,sK5))
| ~ spl23_1
| ~ spl23_3
| spl23_6
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_demodulation,[],[f1842,f890]) ).
fof(f2133,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_4 ),
inference(resolution,[],[f692,f481]) ).
fof(f2134,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f2133,f156]) ).
fof(f2135,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f2134,f150]) ).
fof(f2136,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f2135,f149]) ).
fof(f2137,plain,
( ~ l1_cat_1(sK2)
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f2136,f154]) ).
fof(f2138,plain,
( $false
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f2137,f153]) ).
fof(f2139,plain,
spl23_4,
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2140,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_5 ),
inference(resolution,[],[f696,f179]) ).
fof(f2141,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f2140,f156]) ).
fof(f2142,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f2141,f150]) ).
fof(f2143,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f2142,f149]) ).
fof(f2144,plain,
( ~ l1_cat_1(sK2)
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f2143,f154]) ).
fof(f2145,plain,
( $false
| spl23_5 ),
inference(forward_subsumption_resolution,[],[f2144,f153]) ).
fof(f2146,plain,
spl23_5,
inference(avatar_contradiction_clause,[],[f2145]) ).
fof(f2150,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_cat_1(sK0),X0)
| ~ m1_relset_1(X1,u2_cat_1(sK0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| k13_funct_3(X1,sK4) = k14_funct_3(u2_cat_1(sK0),X0,u2_cat_1(sK2),X1,sK4) )
| ~ spl23_4 ),
inference(resolution,[],[f691,f205]) ).
fof(f2152,plain,
( m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4 ),
inference(resolution,[],[f691,f208]) ).
fof(f2154,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_cat_1(sK0),X0)
| ~ m1_relset_1(X1,u2_cat_1(sK0),X0)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| k13_funct_3(X1,sK4) = k14_funct_3(u2_cat_1(sK0),X0,u2_cat_1(sK2),X1,sK4) )
| ~ spl23_4
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2150,f997]) ).
fof(f2159,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_cat_1(sK0),X0)
| ~ m1_relset_1(X1,u2_cat_1(sK0),X0)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| k13_funct_3(X1,sK4) = k14_funct_3(u2_cat_1(sK0),X0,u2_cat_1(sK2),X1,sK4) )
| ~ spl23_4
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2154,f304]) ).
fof(f2164,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X1,u2_cat_1(sK0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_cat_1(sK0),X0)
| v1_xboole_0(X0)
| k13_funct_3(X1,sK4) = k14_funct_3(u2_cat_1(sK0),X0,u2_cat_1(sK2),X1,sK4) )
| ~ spl23_4
| ~ spl23_5
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2159,f695]) ).
fof(f2178,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)),k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(X1)
| v1_xboole_0(u2_cat_1(sK0)) )
| ~ spl23_4 ),
inference(resolution,[],[f2152,f224]) ).
fof(f2181,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)),k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(X1)
| v1_xboole_0(u2_cat_1(sK0)) )
| ~ spl23_4 ),
inference(forward_subsumption_resolution,[],[f2178,f304]) ).
fof(f2182,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)),k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(X1)
| v1_xboole_0(u2_cat_1(sK0)) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_subsumption_resolution,[],[f2181,f695]) ).
fof(f2183,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)),k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| v1_xboole_0(X1)
| v1_xboole_0(u2_cat_1(sK0)) )
| ~ spl23_4
| ~ spl23_5
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2182,f997]) ).
fof(f2184,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)),k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| v1_xboole_0(X1) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2183,f699]) ).
fof(f2185,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u2_cat_1(sK0),X1)
| ~ m1_subset_1(X0,u2_cat_1(sK0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u2_cat_1(sK0),X1)
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(X1,u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),X1,u2_cat_1(sK2),X2,sK4),X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),X1,X2,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)))
| v1_xboole_0(X1) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| spl23_29 ),
inference(forward_demodulation,[],[f2184,f161]) ).
fof(f2264,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_8 ),
inference(resolution,[],[f709,f481]) ).
fof(f2265,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_8 ),
inference(forward_subsumption_resolution,[],[f2264,f155]) ).
fof(f2266,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_8 ),
inference(forward_subsumption_resolution,[],[f2265,f150]) ).
fof(f2267,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_8 ),
inference(forward_subsumption_resolution,[],[f2266,f149]) ).
fof(f2268,plain,
( ~ l1_cat_1(sK1)
| spl23_8 ),
inference(forward_subsumption_resolution,[],[f2267,f152]) ).
fof(f2269,plain,
( $false
| spl23_8 ),
inference(forward_subsumption_resolution,[],[f2268,f151]) ).
fof(f2270,plain,
spl23_8,
inference(avatar_contradiction_clause,[],[f2269]) ).
fof(f2271,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_9 ),
inference(resolution,[],[f713,f179]) ).
fof(f2272,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_9 ),
inference(forward_subsumption_resolution,[],[f2271,f155]) ).
fof(f2273,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_9 ),
inference(forward_subsumption_resolution,[],[f2272,f150]) ).
fof(f2274,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl23_9 ),
inference(forward_subsumption_resolution,[],[f2273,f149]) ).
fof(f2275,plain,
( ~ l1_cat_1(sK1)
| spl23_9 ),
inference(forward_subsumption_resolution,[],[f2274,f152]) ).
fof(f2276,plain,
( $false
| spl23_9 ),
inference(forward_subsumption_resolution,[],[f2275,f151]) ).
fof(f2277,plain,
spl23_9,
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2279,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK1))
| k13_funct_3(sK3,sK4) = k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| spl23_29 ),
inference(resolution,[],[f708,f2164]) ).
fof(f2284,plain,
( m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl23_8 ),
inference(resolution,[],[f708,f208]) ).
fof(f2289,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK1))
| k13_funct_3(sK3,sK4) = k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2279,f305]) ).
fof(f2295,plain,
( v1_xboole_0(u2_cat_1(sK1))
| k13_funct_3(sK3,sK4) = k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2289,f712]) ).
fof(f2301,plain,
( k13_funct_3(sK3,sK4) = k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2295,f983]) ).
fof(f2304,plain,
( sF17 = k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f2301,f341]) ).
fof(f2322,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(superposition,[],[f831,f2304]) ).
fof(f2325,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),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(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(superposition,[],[f173,f2304]) ).
fof(f2326,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2325,f983]) ).
fof(f2328,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2322,f997]) ).
fof(f2329,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2326,f997]) ).
fof(f2331,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2328,f305]) ).
fof(f2332,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2329,f305]) ).
fof(f2334,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2331,f712]) ).
fof(f2335,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2332,f712]) ).
fof(f2337,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2334,f708]) ).
fof(f2338,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2335,f708]) ).
fof(f2340,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2337,f304]) ).
fof(f2341,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2338,f304]) ).
fof(f2343,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2340,f695]) ).
fof(f2344,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2341,f695]) ).
fof(f2346,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK1))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2343,f691]) ).
fof(f2347,plain,
( v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2344,f691]) ).
fof(f2349,plain,
( m1_relset_1(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2346,f983]) ).
fof(f2378,plain,
( ! [X0] :
( v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sF17)
| ~ v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k1_funct_1(sF17,X0) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(resolution,[],[f2349,f206]) ).
fof(f2380,plain,
( ! [X0] :
( ~ v1_funct_1(sF17)
| ~ v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k1_funct_1(sF17,X0) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2378,f699]) ).
fof(f2387,plain,
( ! [X0] :
( ~ v1_funct_2(sF17,u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| k1_funct_1(sF17,X0) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,X0)
| ~ m1_subset_1(X0,u2_cat_1(sK0)) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2380,f395]) ).
fof(f2394,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k1_funct_1(sF17,X0) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,X0) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2387,f2347]) ).
fof(f2572,plain,
( k1_funct_1(sF17,k10_cat_1(sK0,sK5)) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(resolution,[],[f2394,f687]) ).
fof(f2577,plain,
( k10_cat_1(sF16,sF18) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_demodulation,[],[f2572,f1847]) ).
fof(f2656,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)))
| v1_xboole_0(u2_cat_1(sK1)) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| spl23_29 ),
inference(resolution,[],[f2185,f2284]) ).
fof(f2662,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)))
| v1_xboole_0(u2_cat_1(sK1)) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2656,f305]) ).
fof(f2667,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0)))
| v1_xboole_0(u2_cat_1(sK1)) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2662,f712]) ).
fof(f2672,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0))) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_subsumption_resolution,[],[f2667,f983]) ).
fof(f2677,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u2_cat_1(sK0))
| k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,X0) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,X0),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,X0))) )
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f2672,f2304]) ).
fof(f2826,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)))
| ~ spl23_7
| ~ spl23_10 ),
inference(resolution,[],[f1006,f717]) ).
fof(f2842,plain,
( ~ l1_cat_1(sK1)
| k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)))
| ~ spl23_7
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f2826,f152]) ).
fof(f2848,plain,
( k13_cat_2(sK1,sK2,k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)))
| ~ spl23_7
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f2842,f151]) ).
fof(f2854,plain,
( k10_cat_1(sF16,sF21) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)))
| ~ spl23_7
| ~ spl23_10 ),
inference(forward_demodulation,[],[f2848,f1458]) ).
fof(f3408,plain,
( k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5)) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5))),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5)),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,k10_cat_1(sK0,sK5))))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(resolution,[],[f2677,f687]) ).
fof(f3414,plain,
( k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5)) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5))),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5)),k10_cat_1(sK2,sF20)))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f3408,f556]) ).
fof(f3417,plain,
( k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5)) = k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5))),k2_tarski(k10_cat_1(sK2,sF20),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,k10_cat_1(sK0,sK5))))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f3414,f161]) ).
fof(f3419,plain,
( k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5)) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK2,sF20),k10_cat_1(sK1,sF19)))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f3417,f554]) ).
fof(f3421,plain,
( k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5)) = k2_tarski(k1_tarski(k10_cat_1(sK1,sF19)),k2_tarski(k10_cat_1(sK1,sF19),k10_cat_1(sK2,sF20)))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_8
| ~ spl23_9
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f3419,f161]) ).
fof(f3423,plain,
( k10_cat_1(sF16,sF21) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),sF17,k10_cat_1(sK0,sK5))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29 ),
inference(forward_demodulation,[],[f3421,f2854]) ).
fof(f3424,plain,
( k10_cat_1(sF16,sF18) = k10_cat_1(sF16,sF21)
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_demodulation,[],[f3423,f2577]) ).
fof(f3435,plain,
( k10_cat_1(sF16,sF18) != k10_cat_1(sF16,sF18)
| sF18 = sF21
| ~ m1_subset_1(sF21,u1_cat_1(sF16))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(superposition,[],[f900,f3424]) ).
fof(f3438,plain,
( sF18 = sF21
| ~ m1_subset_1(sF21,u1_cat_1(sF16))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(trivial_inequality_removal,[],[f3435]) ).
fof(f3441,plain,
( ~ m1_subset_1(sF21,u1_cat_1(sF16))
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_subsumption_resolution,[],[f3438,f237]) ).
fof(f3452,plain,
( $false
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(forward_subsumption_resolution,[],[f3441,f438]) ).
fof(f3453,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(avatar_contradiction_clause,[],[f3452]) ).
cnf(s2,plain,
spl23_1,
inference(sat_conversion,[],[f330]) ).
cnf(s20,plain,
spl23_7,
inference(sat_conversion,[],[f961]) ).
cnf(s21,plain,
spl23_10,
inference(sat_conversion,[],[f962]) ).
cnf(s22,plain,
spl23_3,
inference(sat_conversion,[],[f965]) ).
cnf(s24,plain,
~ spl23_6,
inference(sat_conversion,[],[f978]) ).
cnf(s27,plain,
~ spl23_27,
inference(sat_conversion,[],[f1009]) ).
cnf(s28,plain,
~ spl23_29,
inference(sat_conversion,[],[f1012]) ).
cnf(s33,plain,
( ~ spl23_1
| spl23_36 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s34,plain,
( ~ spl23_1
| spl23_37 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s42,plain,
spl23_4,
inference(sat_conversion,[],[f2139]) ).
cnf(s43,plain,
spl23_5,
inference(sat_conversion,[],[f2146]) ).
cnf(s47,plain,
spl23_8,
inference(sat_conversion,[],[f2270]) ).
cnf(s48,plain,
spl23_9,
inference(sat_conversion,[],[f2277]) ).
cnf(s83,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| spl23_27
| spl23_29
| ~ spl23_36
| ~ spl23_37 ),
inference(sat_conversion,[],[f3453]) ).
cnf(s142,plain,
spl23_37,
inference(rat,[],[s34,s2]) ).
cnf(s143,plain,
spl23_36,
inference(rat,[],[s33,s2]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s83,s2,s20,s28,s27,s21,s48,s47,s22,s24,s43,s42,s142,s143]) ).
fof(f3456,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 21:20:28 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 8.16/1.61 % (3780009)Detected formulas, will run a generic FOF schedule.
% 8.16/1.61 % (3780015)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=1969857229:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.16/1.61 % (3780016)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=3168579069:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.16/1.61 % (3780020)dis-21_1_sil=8000:lcm=predicate:random_seed=3632617179: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)
% 8.16/1.61 % (3780014)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=1027495026:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.16/1.61 % (3780017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1352332356:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.16/1.61 % (3780018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3060273297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.16/1.61 % (3780019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1246502334:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.16/1.61 % (3780017)Refutation not found, incomplete strategy
% 8.16/1.61 % (3780017)------------------------------
% 8.16/1.61 % (3780017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.61 % (3780017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.61 % (3780017)CaDiCaL version: 2.1.3
% 8.16/1.61 % (3780017)Termination reason: Refutation not found, incomplete strategy
% 8.16/1.61 % (3780017)Time elapsed: 0.002 s
% 8.16/1.61 % (3780017)Peak memory usage: 88 MB
% 8.16/1.61 % (3780017)Instructions burned: 3 (million)
% 8.16/1.61 % (3780018)Instruction limit reached!
% 8.16/1.61 % (3780018)------------------------------
% 8.16/1.61 % (3780018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.61 % (3780018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.61 % (3780018)CaDiCaL version: 2.1.3
% 8.16/1.61 % (3780018)Termination reason: Instruction limit
% 8.16/1.61 % (3780018)Termination phase: Saturation
% 8.16/1.61 % (3780018)Time elapsed: 0.031 s
% 8.16/1.61 % (3780018)Peak memory usage: 88 MB
% 8.16/1.61 % (3780018)Instructions burned: 120 (million)
% 8.16/1.61 % (3780020)Instruction limit reached!
% 8.16/1.61 % (3780020)------------------------------
% 8.16/1.61 % (3780020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.61 % (3780020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.61 % (3780020)CaDiCaL version: 2.1.3
% 8.16/1.61 % (3780020)Termination reason: Instruction limit
% 8.16/1.61 % (3780020)Termination phase: Saturation
% 8.16/1.61 % (3780020)Time elapsed: 0.040 s
% 8.16/1.61 % (3780020)Peak memory usage: 90 MB
% 8.16/1.61 % (3780020)Instructions burned: 130 (million)
% 8.16/1.61 % (3780019)Instruction limit reached!
% 8.16/1.61 % (3780019)------------------------------
% 8.16/1.61 % (3780019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.61 % (3780019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.61 % (3780019)CaDiCaL version: 2.1.3
% 8.16/1.61 % (3780019)Termination reason: Instruction limit
% 8.16/1.61 % (3780019)Termination phase: Saturation
% 8.16/1.61 % (3780019)Time elapsed: 0.050 s
% 8.16/1.61 % (3780019)Peak memory usage: 90 MB
% 8.16/1.61 % (3780019)Instructions burned: 139 (million)
% 8.16/1.61 % (3780028)lrs+10_1_sil=8000:sp=occurrence:random_seed=1486740086:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.16/1.61 % (3780029)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2432704834:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 8.16/1.61 % (3780017)------------------------------
% 8.16/1.61 % (3780017)------------------------------
% 8.16/1.61 % (3780030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2944814519:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 8.16/1.61 % (3780029)Instruction limit reached!
% 8.16/1.61 % (3780029)------------------------------
% 8.16/1.61 % (3780029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780029)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780029)Termination reason: Instruction limit
% 8.16/1.67 % (3780029)Termination phase: Saturation
% 8.16/1.67 % (3780029)Time elapsed: 0.042 s
% 8.16/1.67 % (3780029)Peak memory usage: 91 MB
% 8.16/1.67 % (3780029)Instructions burned: 158 (million)
% 8.16/1.67 % (3780028)Instruction limit reached!
% 8.16/1.67 % (3780028)------------------------------
% 8.16/1.67 % (3780028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780028)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780028)Termination reason: Instruction limit
% 8.16/1.67 % (3780028)Termination phase: Saturation
% 8.16/1.67 % (3780028)Time elapsed: 0.092 s
% 8.16/1.67 % (3780028)Peak memory usage: 92 MB
% 8.16/1.67 % (3780028)Instructions burned: 286 (million)
% 8.16/1.67 % (3780033)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=617618772:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.16/1.67 % (3780030)Instruction limit reached!
% 8.16/1.67 % (3780030)------------------------------
% 8.16/1.67 % (3780030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780030)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780030)Termination reason: Instruction limit
% 8.16/1.67 % (3780030)Termination phase: Saturation
% 8.16/1.67 % (3780030)Time elapsed: 0.113 s
% 8.16/1.67 % (3780030)Peak memory usage: 93 MB
% 8.16/1.67 % (3780030)Instructions burned: 326 (million)
% 8.16/1.67 % (3780035)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=884708625:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.16/1.67 % (3780035)Refutation not found, incomplete strategy
% 8.16/1.67 % (3780035)------------------------------
% 8.16/1.67 % (3780035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780035)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780035)Termination reason: Refutation not found, incomplete strategy
% 8.16/1.67 % (3780035)Time elapsed: 0.002 s
% 8.16/1.67 % (3780035)Peak memory usage: 88 MB
% 8.16/1.67 % (3780035)Instructions burned: 5 (million)
% 8.16/1.67 % (3780033)Instruction limit reached!
% 8.16/1.67 % (3780033)------------------------------
% 8.16/1.67 % (3780033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780033)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780033)Termination reason: Instruction limit
% 8.16/1.67 % (3780033)Termination phase: Saturation
% 8.16/1.67 % (3780033)Time elapsed: 0.070 s
% 8.16/1.67 % (3780033)Peak memory usage: 92 MB
% 8.16/1.67 % (3780033)Instructions burned: 248 (million)
% 8.16/1.67 % (3780036)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1967200359:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 8.16/1.67 % (3780038)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2174237426:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 8.16/1.67 % (3780038)Instruction limit reached!
% 8.16/1.67 % (3780038)------------------------------
% 8.16/1.67 % (3780038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780038)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780038)Termination reason: Instruction limit
% 8.16/1.67 % (3780038)Termination phase: Saturation
% 8.16/1.67 % (3780038)Time elapsed: 0.042 s
% 8.16/1.67 % (3780038)Peak memory usage: 91 MB
% 8.16/1.67 % (3780038)Instructions burned: 113 (million)
% 8.16/1.67 % (3780035)------------------------------
% 8.16/1.67 % (3780035)------------------------------
% 8.16/1.67 % (3780040)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2343803666:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 8.16/1.67 % (3780040)Instruction limit reached!
% 8.16/1.67 % (3780040)------------------------------
% 8.16/1.67 % (3780040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780040)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780040)Termination reason: Instruction limit
% 8.16/1.67 % (3780040)Termination phase: Saturation
% 8.16/1.67 % (3780040)Time elapsed: 0.037 s
% 8.16/1.67 % (3780040)Peak memory usage: 89 MB
% 8.16/1.67 % (3780040)Instructions burned: 131 (million)
% 8.16/1.67 % (3780043)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2766696406:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.16/1.67 % (3780043)Instruction limit reached!
% 8.16/1.67 % (3780043)------------------------------
% 8.16/1.67 % (3780043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780043)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780043)Termination reason: Instruction limit
% 8.16/1.67 % (3780043)Termination phase: Saturation
% 8.16/1.67 % (3780043)Time elapsed: 0.039 s
% 8.16/1.67 % (3780043)Peak memory usage: 89 MB
% 8.16/1.67 % (3780043)Instructions burned: 116 (million)
% 8.16/1.67 % (3780044)lrs+10_1_sil=8000:sp=occurrence:random_seed=2049165785:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.16/1.67 % (3780046)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=479057808:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 8.16/1.67 % (3780046)Refutation not found, incomplete strategy
% 8.16/1.67 % (3780046)------------------------------
% 8.16/1.67 % (3780046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780046)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780046)Termination reason: Refutation not found, incomplete strategy
% 8.16/1.67 % (3780046)Time elapsed: 0.003 s
% 8.16/1.67 % (3780046)Peak memory usage: 88 MB
% 8.16/1.67 % (3780046)Instructions burned: 6 (million)
% 8.16/1.67 % (3780048)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2985161194:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.16/1.67 % (3780046)------------------------------
% 8.16/1.67 % (3780046)------------------------------
% 8.16/1.67 % (3780044)Instruction limit reached!
% 8.16/1.67 % (3780044)------------------------------
% 8.16/1.67 % (3780044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780044)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780044)Termination reason: Instruction limit
% 8.16/1.67 % (3780044)Termination phase: Saturation
% 8.16/1.67 % (3780044)Time elapsed: 0.276 s
% 8.16/1.67 % (3780044)Peak memory usage: 101 MB
% 8.16/1.67 % (3780044)Instructions burned: 907 (million)
% 8.16/1.67 % (3780052)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=656845413:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 8.16/1.67 % (3780052)Instruction limit reached!
% 8.16/1.67 % (3780052)------------------------------
% 8.16/1.67 % (3780052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780052)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780052)Termination reason: Instruction limit
% 8.16/1.67 % (3780052)Termination phase: Saturation
% 8.16/1.67 % (3780052)Time elapsed: 0.039 s
% 8.16/1.67 % (3780052)Peak memory usage: 91 MB
% 8.16/1.67 % (3780052)Instructions burned: 134 (million)
% 8.16/1.67 % (3780053)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=857473965:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 8.16/1.67 % (3780036)First to succeed.
% 8.16/1.67 % (3780036)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3780009"
% 8.16/1.67 % (3780055)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1396657767:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 8.16/1.67 % (3780053)Instruction limit reached!
% 8.16/1.67 % (3780053)------------------------------
% 8.16/1.67 % (3780053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.67 % (3780053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.67 % (3780053)CaDiCaL version: 2.1.3
% 8.16/1.67 % (3780053)Termination reason: Instruction limit
% 8.16/1.67 % (3780053)Termination phase: Saturation
% 8.16/1.67 % (3780053)Time elapsed: 0.146 s
% 8.16/1.67 % (3780053)Peak memory usage: 91 MB
% 8.16/1.67 % (3780053)Instructions burned: 595 (million)
% 8.16/1.67 % (3780036)Refutation found. Thanks to Tanya!
% 8.16/1.67 % SZS status Theorem for theBenchmark
% 8.16/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 9.74/1.77 % (3780036)------------------------------
% 9.74/1.77 % (3780036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/1.77 % (3780036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.77 % (3780036)CaDiCaL version: 2.1.3
% 9.74/1.77 % (3780036)Termination reason: Refutation
% 9.74/1.77 % (3780036)Time elapsed: 0.687 s
% 9.74/1.77 % (3780036)Peak memory usage: 137 MB
% 9.74/1.77 % (3780036)Instructions burned: 1825 (million)
% 9.74/1.77 % (3780036)------------------------------
% 9.74/1.77 % (3780036)------------------------------
% 9.74/1.77 % (3780009)Success in time 1.358 s
% 9.74/1.77 % Vampire exiting
%------------------------------------------------------------------------------