%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP032+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:33:56 PM UTC 2026
% Result : Theorem 16.30s 3.08s
% Output : Refutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 24
% Syntax : Number of formulae : 268 ( 36 unt; 6 def)
% Number of atoms : 1280 ( 139 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1713 ( 701 ~; 804 |; 140 &)
% ( 23 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 7 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 338 ( 0 sgn 325 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f447,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f1087,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1541,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) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f1542,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f2140,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f2153,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f2183,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f3404,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tex_4) ).
fof(f3476,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(f3555,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_tsp_1) ).
fof(f3565,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f3578,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
=> k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(f3595,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(f3598,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m2_tsp_1(X1,X0) )
=> ( v2_tsp_2(X1,X0)
<=> ( v2_t_0topsp(X1)
& ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X0) )
=> ( m2_tsp_1(X1,X2)
=> g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_tsp_2) ).
fof(f3614,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( X3 = u1_struct_0(X1)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_tsp_2) ).
fof(f3615,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_tsp_2) ).
fof(f3616,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3615]) ).
fof(f3654,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3578]) ).
fof(f3655,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3654]) ).
fof(f3688,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3595]) ).
fof(f3689,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3688]) ).
fof(f3694,plain,
! [X0] :
( ! [X1] :
( ( v2_tsp_2(X1,X0)
<=> ( v2_t_0topsp(X1)
& ! [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_t_0topsp(X2)
| ~ m2_tsp_1(X2,X0) ) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3598]) ).
fof(f3695,plain,
! [X0] :
( ! [X1] :
( ( v2_tsp_2(X1,X0)
<=> ( v2_t_0topsp(X1)
& ! [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_t_0topsp(X2)
| ~ m2_tsp_1(X2,X0) ) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3694]) ).
fof(f3726,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3614]) ).
fof(f3727,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3726]) ).
fof(f3728,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3616]) ).
fof(f3729,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f3728]) ).
fof(f3773,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f447]) ).
fof(f3774,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f3773]) ).
fof(f3803,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3555]) ).
fof(f3804,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3803]) ).
fof(f3835,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f3476]) ).
fof(f3836,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3835]) ).
fof(f3864,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2153]) ).
fof(f3865,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3864]) ).
fof(f4094,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f4170,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f4321,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,[],[f1542]) ).
fof(f4322,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,[],[f4321]) ).
fof(f4323,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| 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,[],[f1541]) ).
fof(f4324,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| 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,[],[f4323]) ).
fof(f4436,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3404]) ).
fof(f4437,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f4436]) ).
fof(f4607,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4611,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2140]) ).
fof(f4612,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f4611]) ).
fof(f4788,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f5686,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k1_struct_0(X0,X2) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2))
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3655]) ).
fof(f5687,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k1_struct_0(X0,X2) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2))
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X3] :
( k1_struct_0(X0,X3) = k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3))
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f5686]) ).
fof(f5688,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ( k1_struct_0(X0,sK20(X0,X1)) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK20(X0,X1)))
& r2_hidden(sK20(X0,X1),X1)
& m1_subset_1(sK20(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X3] :
( k1_struct_0(X0,X3) = k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3))
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X2,sK20(X0,X1))],[f5687]) ).
fof(f5707,plain,
! [X0] :
( ! [X1] :
( ( ( v2_tsp_2(X1,X0)
| ~ v2_t_0topsp(X1)
| ? [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& m2_tsp_1(X1,X2)
& ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X0) ) )
& ( ( v2_t_0topsp(X1)
& ! [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_t_0topsp(X2)
| ~ m2_tsp_1(X2,X0) ) )
| ~ v2_tsp_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3695]) ).
fof(f5708,plain,
! [X0] :
( ! [X1] :
( ( ( v2_tsp_2(X1,X0)
| ~ v2_t_0topsp(X1)
| ? [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& m2_tsp_1(X1,X2)
& ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X0) ) )
& ( ( v2_t_0topsp(X1)
& ! [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_t_0topsp(X2)
| ~ m2_tsp_1(X2,X0) ) )
| ~ v2_tsp_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f5707]) ).
fof(f5709,plain,
! [X0] :
( ! [X1] :
( ( ( v2_tsp_2(X1,X0)
| ~ v2_t_0topsp(X1)
| ? [X2] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& m2_tsp_1(X1,X2)
& ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X0) ) )
& ( ( v2_t_0topsp(X1)
& ! [X3] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3))
| ~ m2_tsp_1(X1,X3)
| v3_struct_0(X3)
| ~ v2_t_0topsp(X3)
| ~ m2_tsp_1(X3,X0) ) )
| ~ v2_tsp_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f5708]) ).
fof(f5710,plain,
! [X0] :
( ! [X1] :
( ( ( v2_tsp_2(X1,X0)
| ~ v2_t_0topsp(X1)
| ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(sK29(X0,X1)),u1_pre_topc(sK29(X0,X1)))
& m2_tsp_1(X1,sK29(X0,X1))
& ~ v3_struct_0(sK29(X0,X1))
& v2_t_0topsp(sK29(X0,X1))
& m2_tsp_1(sK29(X0,X1),X0) ) )
& ( ( v2_t_0topsp(X1)
& ! [X3] :
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3))
| ~ m2_tsp_1(X1,X3)
| v3_struct_0(X3)
| ~ v2_t_0topsp(X3)
| ~ m2_tsp_1(X3,X0) ) )
| ~ v2_tsp_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X2,sK29(X0,X1))],[f5709]) ).
fof(f5726,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK35(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2,X3)))
& m1_subset_1(sK35(X0,X1,X2,X3),u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X4,sK35(X0,X1,X2,X3))],[f3727]) ).
fof(f5727,plain,
( ( ~ v1_funct_1(sK38)
| ~ v1_funct_2(sK38,u1_struct_0(sK36),u1_struct_0(sK37))
| ~ v5_pre_topc(sK38,sK36,sK37)
| ~ m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK36),u1_struct_0(sK37),sK38,X3),k4_tex_4(sK36,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK36)) )
& v1_funct_1(sK38)
& v1_funct_2(sK38,u1_struct_0(sK36),u1_struct_0(sK37))
& m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37))
& ~ v3_struct_0(sK37)
& v2_tsp_2(sK37,sK36)
& m2_tsp_1(sK37,sK36)
& ~ v3_struct_0(sK36)
& v2_pre_topc(sK36)
& l1_pre_topc(sK36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X2,sK38)],[f3729]) ).
fof(f5759,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_tsp_1(X2,X0)
| ~ v2_t_0topsp(X1) )
& ( v2_t_0topsp(X1)
| ~ v1_tsp_1(X2,X0) ) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3804]) ).
fof(f5867,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f4094]) ).
fof(f5975,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,[],[f1087]) ).
fof(f5984,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2) )
& ( k2_tex_4(X0,X2) = k2_tex_4(X0,X1)
| ~ r2_hidden(X2,k2_tex_4(X0,X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f4437]) ).
fof(f6438,plain,
! [X3,X0,X1] :
( k1_struct_0(X0,X3) = k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3))
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5688]) ).
fof(f6482,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3689]) ).
fof(f6488,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v2_t_0topsp(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5710]) ).
fof(f6544,plain,
! [X2,X3,X0,X1] :
( v5_pre_topc(X2,X0,X1)
| u1_struct_0(X1) != X3
| m1_subset_1(sK35(X0,X1,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5726]) ).
fof(f6545,plain,
! [X2,X3,X0,X1] :
( v5_pre_topc(X2,X0,X1)
| u1_struct_0(X1) != X3
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK35(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5726]) ).
fof(f6550,plain,
l1_pre_topc(sK36),
inference(cnf_transformation,[],[f5727]) ).
fof(f6551,plain,
v2_pre_topc(sK36),
inference(cnf_transformation,[],[f5727]) ).
fof(f6552,plain,
~ v3_struct_0(sK36),
inference(cnf_transformation,[],[f5727]) ).
fof(f6553,plain,
m2_tsp_1(sK37,sK36),
inference(cnf_transformation,[],[f5727]) ).
fof(f6554,plain,
v2_tsp_2(sK37,sK36),
inference(cnf_transformation,[],[f5727]) ).
fof(f6555,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f5727]) ).
fof(f6556,plain,
m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37)),
inference(cnf_transformation,[],[f5727]) ).
fof(f6557,plain,
v1_funct_2(sK38,u1_struct_0(sK36),u1_struct_0(sK37)),
inference(cnf_transformation,[],[f5727]) ).
fof(f6558,plain,
v1_funct_1(sK38),
inference(cnf_transformation,[],[f5727]) ).
fof(f6559,plain,
! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK36),u1_struct_0(sK37),sK38,X3),k4_tex_4(sK36,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK36)) ),
inference(cnf_transformation,[],[f5727]) ).
fof(f6560,plain,
( ~ v1_funct_1(sK38)
| ~ v1_funct_2(sK38,u1_struct_0(sK36),u1_struct_0(sK37))
| ~ v5_pre_topc(sK38,sK36,sK37)
| ~ m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37)) ),
inference(cnf_transformation,[],[f5727]) ).
fof(f6613,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f3774]) ).
fof(f6686,plain,
! [X2,X0,X1] :
( v1_tsp_1(X2,X0)
| ~ v2_t_0topsp(X1)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5759]) ).
fof(f6776,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_tex_4(X0,X1) = k4_tex_4(X0,X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3836]) ).
fof(f6795,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_tarski(X1) = k1_struct_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3865]) ).
fof(f7075,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f5867]) ).
fof(f7158,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f4170]) ).
fof(f7539,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)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f4322]) ).
fof(f7540,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| 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(cnf_transformation,[],[f4324]) ).
fof(f7581,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5975]) ).
fof(f7582,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5975]) ).
fof(f7670,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) = k2_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5984]) ).
fof(f7906,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4607]) ).
fof(f7912,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4612]) ).
fof(f8145,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f4788]) ).
fof(f10100,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,sK35(X0,X1,X2,u1_struct_0(X1)))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK35(X0,X1,X2,u1_struct_0(X1))))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v5_pre_topc(X2,X0,X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f6545]) ).
fof(f10101,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| m1_subset_1(sK35(X0,X1,X2,u1_struct_0(X1)),u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v5_pre_topc(X2,X0,X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f6544]) ).
fof(f10104,plain,
! [X0,X1] :
( ~ v2_t_0topsp(X1)
| v1_tsp_1(u1_struct_0(X1),X0)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f6686]) ).
fof(f10508,plain,
( ~ v1_funct_2(sK38,u1_struct_0(sK36),u1_struct_0(sK37))
| ~ v5_pre_topc(sK38,sK36,sK37)
| ~ m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f6560,f6558]) ).
fof(f10516,plain,
! [X3,X0,X1] :
( ~ v2_pre_topc(X0)
| ~ r2_hidden(X3,X1)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k1_struct_0(X0,X3) = k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f6438,f6613]) ).
fof(f10557,plain,
( ~ v5_pre_topc(sK38,sK36,sK37)
| ~ m2_relset_1(sK38,u1_struct_0(sK36),u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f10508,f6557]) ).
fof(f10577,plain,
~ v5_pre_topc(sK38,sK36,sK37),
inference(forward_subsumption_resolution,[],[f10557,f6556]) ).
fof(f10590,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK36)
| l1_pre_topc(X0) ),
inference(resolution,[],[f7158,f6550]) ).
fof(f10591,plain,
! [X0] :
( v3_struct_0(sK36)
| k4_tex_4(sK36,X0) = k2_tex_4(sK36,X0)
| ~ l1_pre_topc(sK36)
| ~ m1_subset_1(X0,u1_struct_0(sK36)) ),
inference(resolution,[],[f6776,f6551]) ).
fof(f10592,plain,
! [X0] :
( k4_tex_4(sK36,X0) = k2_tex_4(sK36,X0)
| ~ l1_pre_topc(sK36)
| ~ m1_subset_1(X0,u1_struct_0(sK36)) ),
inference(forward_subsumption_resolution,[],[f10591,f6552]) ).
fof(f10593,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK36))
| k4_tex_4(sK36,X0) = k2_tex_4(sK36,X0) ),
inference(forward_subsumption_resolution,[],[f10592,f6550]) ).
fof(f10597,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f8145,f7906]) ).
fof(f10598,plain,
u1_struct_0(sK36) = k2_pre_topc(sK36),
inference(resolution,[],[f10597,f6550]) ).
fof(f10599,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| k4_tex_4(sK36,X0) = k2_tex_4(sK36,X0) ),
inference(superposition,[],[f10593,f10598]) ).
fof(f10600,plain,
! [X0] :
( r2_hidden(k8_funct_2(k2_pre_topc(sK36),u1_struct_0(sK37),sK38,X0),k4_tex_4(sK36,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(superposition,[],[f6559,f10598]) ).
fof(f10601,plain,
m2_relset_1(sK38,k2_pre_topc(sK36),u1_struct_0(sK37)),
inference(superposition,[],[f6556,f10598]) ).
fof(f10602,plain,
v1_funct_2(sK38,k2_pre_topc(sK36),u1_struct_0(sK37)),
inference(superposition,[],[f6557,f10598]) ).
fof(f10613,plain,
l1_pre_topc(sK37),
inference(resolution,[],[f10590,f6553]) ).
fof(f10614,plain,
u1_struct_0(sK37) = k2_pre_topc(sK37),
inference(resolution,[],[f10613,f10597]) ).
fof(f10631,plain,
m1_relset_1(sK38,k2_pre_topc(sK36),u1_struct_0(sK37)),
inference(resolution,[],[f7581,f10601]) ).
fof(f10632,plain,
m1_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37)),
inference(forward_demodulation,[],[f10631,f10614]) ).
fof(f10635,plain,
m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37)),
inference(resolution,[],[f10632,f7582]) ).
fof(f10636,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK36))
| ~ v1_funct_1(sK38)
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k1_funct_1(sK38,X0) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(resolution,[],[f10632,f7539]) ).
fof(f10638,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(u1_struct_0(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK36)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v3_struct_0(sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(resolution,[],[f10100,f6551]) ).
fof(f10639,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(u1_struct_0(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v3_struct_0(sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10638,f6482]) ).
fof(f10640,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(u1_struct_0(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10639,f6552]) ).
fof(f10641,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(u1_struct_0(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_subsumption_resolution,[],[f10640,f6550]) ).
fof(f10642,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10641,f10598]) ).
fof(f10643,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| k5_subset_1(k2_pre_topc(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10642,f10598]) ).
fof(f10644,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK36),u1_struct_0(X0),k4_tex_4(sK36,sK35(sK36,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK36),u1_struct_0(X0),X1,sK35(sK36,X0,X1,u1_struct_0(X0))))
| ~ v1_funct_2(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10643,f10598]) ).
fof(f10646,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK36)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK36)
| v3_struct_0(sK36)
| v2_t_0topsp(X0)
| ~ l1_pre_topc(sK36) ),
inference(resolution,[],[f6488,f6551]) ).
fof(f10647,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK36)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK36)
| v2_t_0topsp(X0)
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10646,f6552]) ).
fof(f10648,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK36)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK36)
| v2_t_0topsp(X0) ),
inference(forward_subsumption_resolution,[],[f10647,f6550]) ).
fof(f10649,plain,
( v3_struct_0(sK37)
| ~ m2_tsp_1(sK37,sK36)
| v2_t_0topsp(sK37) ),
inference(resolution,[],[f10648,f6554]) ).
fof(f10650,plain,
( ~ m2_tsp_1(sK37,sK36)
| v2_t_0topsp(sK37) ),
inference(forward_subsumption_resolution,[],[f10649,f6555]) ).
fof(f10651,plain,
v2_t_0topsp(sK37),
inference(forward_subsumption_resolution,[],[f10650,f6553]) ).
fof(f10652,plain,
( m1_subset_1(u1_struct_0(sK37),k1_zfmisc_1(u1_struct_0(sK36)))
| v3_struct_0(sK36)
| ~ l1_pre_topc(sK36) ),
inference(resolution,[],[f6482,f6553]) ).
fof(f10653,plain,
( m1_subset_1(u1_struct_0(sK37),k1_zfmisc_1(u1_struct_0(sK36)))
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10652,f6552]) ).
fof(f10654,plain,
m1_subset_1(u1_struct_0(sK37),k1_zfmisc_1(u1_struct_0(sK36))),
inference(forward_subsumption_resolution,[],[f10653,f6550]) ).
fof(f10655,plain,
m1_subset_1(u1_struct_0(sK37),k1_zfmisc_1(k2_pre_topc(sK36))),
inference(forward_demodulation,[],[f10654,f10598]) ).
fof(f10656,plain,
m1_subset_1(k2_pre_topc(sK37),k1_zfmisc_1(k2_pre_topc(sK36))),
inference(forward_demodulation,[],[f10655,f10614]) ).
fof(f10661,plain,
! [X0] :
( r2_hidden(k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0),k4_tex_4(sK36,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(superposition,[],[f10600,f10614]) ).
fof(f10663,plain,
v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37)),
inference(superposition,[],[f10602,f10614]) ).
fof(f10664,plain,
! [X0] :
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),X0,sK35(sK36,sK37,X0,k2_pre_topc(sK37))))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| v3_struct_0(sK37)
| ~ v2_tsp_2(sK37,sK36)
| ~ m2_tsp_1(sK37,sK36)
| v5_pre_topc(X0,sK36,sK37) ),
inference(superposition,[],[f10644,f10614]) ).
fof(f10673,plain,
! [X0] :
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),X0,sK35(sK36,sK37,X0,k2_pre_topc(sK37))))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| ~ v2_tsp_2(sK37,sK36)
| ~ m2_tsp_1(sK37,sK36)
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_subsumption_resolution,[],[f10664,f6555]) ).
fof(f10680,plain,
! [X0] :
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),X0,sK35(sK36,sK37,X0,k2_pre_topc(sK37))))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| ~ m2_tsp_1(sK37,sK36)
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_subsumption_resolution,[],[f10673,f6554]) ).
fof(f10689,plain,
! [X0] :
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),X0,sK35(sK36,sK37,X0,k2_pre_topc(sK37))))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_subsumption_resolution,[],[f10680,f6553]) ).
fof(f10693,plain,
! [X0,X1] :
( m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),u1_struct_0(sK36))
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK36)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v3_struct_0(sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(resolution,[],[f10101,f6551]) ).
fof(f10694,plain,
! [X0,X1] :
( m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),u1_struct_0(sK36))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v3_struct_0(sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10693,f6482]) ).
fof(f10695,plain,
! [X0,X1] :
( m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),u1_struct_0(sK36))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0)
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10694,f6552]) ).
fof(f10696,plain,
! [X0,X1] :
( m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),u1_struct_0(sK36))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_subsumption_resolution,[],[f10695,f6550]) ).
fof(f10697,plain,
! [X0,X1] :
( m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK36))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK36),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10696,f10598]) ).
fof(f10698,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK36))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,u1_struct_0(sK36),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK36)
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10697,f10598]) ).
fof(f10699,plain,
! [X0,X1] :
( ~ v2_tsp_2(X0,sK36)
| ~ v1_funct_2(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| m1_subset_1(sK35(sK36,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK36))
| ~ v1_funct_1(X1)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK36),u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK36)
| v5_pre_topc(X1,sK36,X0) ),
inference(forward_demodulation,[],[f10698,f10598]) ).
fof(f10700,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| m1_subset_1(sK35(sK36,sK37,X0,u1_struct_0(sK37)),k2_pre_topc(sK36))
| ~ v1_funct_1(X0)
| v3_struct_0(sK37)
| ~ m2_relset_1(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| ~ m2_tsp_1(sK37,sK36)
| v5_pre_topc(X0,sK36,sK37) ),
inference(resolution,[],[f10699,f6554]) ).
fof(f10701,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| m1_subset_1(sK35(sK36,sK37,X0,u1_struct_0(sK37)),k2_pre_topc(sK36))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| ~ m2_tsp_1(sK37,sK36)
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_subsumption_resolution,[],[f10700,f6555]) ).
fof(f10702,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| m1_subset_1(sK35(sK36,sK37,X0,u1_struct_0(sK37)),k2_pre_topc(sK36))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_subsumption_resolution,[],[f10701,f6553]) ).
fof(f10703,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| m1_subset_1(sK35(sK36,sK37,X0,u1_struct_0(sK37)),k2_pre_topc(sK36))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_demodulation,[],[f10702,f10614]) ).
fof(f10704,plain,
! [X0] :
( m1_subset_1(sK35(sK36,sK37,X0,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_pre_topc(sK36),u1_struct_0(sK37))
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_demodulation,[],[f10703,f10614]) ).
fof(f10705,plain,
! [X0] :
( m1_subset_1(sK35(sK36,sK37,X0,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK36,sK37) ),
inference(forward_demodulation,[],[f10704,f10614]) ).
fof(f10706,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK36,sK37)
| k4_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37))) = k2_tex_4(sK36,sK35(sK36,sK37,X0,k2_pre_topc(sK37))) ),
inference(resolution,[],[f10705,f10599]) ).
fof(f10748,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f7912,f7906]) ).
fof(f10761,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK36))
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k1_funct_1(sK38,X0) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(forward_subsumption_resolution,[],[f10636,f6558]) ).
fof(f10763,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK36))
| k1_funct_1(sK38,X0) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(forward_subsumption_resolution,[],[f10761,f10663]) ).
fof(f10766,definition,
( spl446_19
<=> ! [X0] :
( k1_funct_1(sK38,X0) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK36)) ) ),
introduced(definition,[new_symbols(definition,[spl446_19])],[avatar_definition]) ).
fof(f10767,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| k1_funct_1(sK38,X0) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,X0) )
| ~ spl446_19 ),
inference(avatar_component_clause,[],[f10766]) ).
fof(f10769,definition,
( spl446_20
<=> v1_xboole_0(k2_pre_topc(sK36)) ),
introduced(definition,[new_symbols(definition,[spl446_20])],[avatar_definition]) ).
fof(f10770,plain,
( v1_xboole_0(k2_pre_topc(sK36))
| ~ spl446_20 ),
inference(avatar_component_clause,[],[f10769]) ).
fof(f10771,plain,
( spl446_19
| spl446_20 ),
inference(avatar_split_clause,[],[f10763,f10769,f10766]) ).
fof(f10773,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k1_funct_1(sK38,sK35(sK36,sK37,X0,k2_pre_topc(sK37))) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK36,sK37) )
| ~ spl446_19 ),
inference(resolution,[],[f10767,f10705]) ).
fof(f10774,plain,
( ~ v1_xboole_0(k2_pre_topc(sK36))
| v3_struct_0(sK36)
| ~ l1_pre_topc(sK36) ),
inference(superposition,[],[f10748,f10598]) ).
fof(f10775,plain,
( ~ v1_xboole_0(k2_pre_topc(sK37))
| v3_struct_0(sK37)
| ~ l1_pre_topc(sK37) ),
inference(superposition,[],[f10748,f10614]) ).
fof(f10776,plain,
( ~ v1_xboole_0(k2_pre_topc(sK37))
| ~ l1_pre_topc(sK37) ),
inference(forward_subsumption_resolution,[],[f10775,f6555]) ).
fof(f10777,plain,
( ~ v1_xboole_0(k2_pre_topc(sK36))
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f10774,f6552]) ).
fof(f10778,plain,
~ v1_xboole_0(k2_pre_topc(sK37)),
inference(forward_subsumption_resolution,[],[f10776,f10613]) ).
fof(f10779,plain,
~ v1_xboole_0(k2_pre_topc(sK36)),
inference(forward_subsumption_resolution,[],[f10777,f6550]) ).
fof(f10900,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| k1_tarski(X1) = k1_struct_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f6795,f7906]) ).
fof(f10901,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK36,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK36))
| v3_struct_0(sK36) ),
inference(resolution,[],[f10900,f6550]) ).
fof(f10902,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK37,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| v3_struct_0(sK37) ),
inference(resolution,[],[f10900,f10613]) ).
fof(f10903,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK37,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f10902,f6555]) ).
fof(f10904,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK36,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK36)) ),
inference(forward_subsumption_resolution,[],[f10901,f6552]) ).
fof(f10905,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k1_tarski(X0) = k1_struct_0(sK37,X0) ),
inference(forward_demodulation,[],[f10903,f10614]) ).
fof(f10906,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| k1_tarski(X0) = k1_struct_0(sK36,X0) ),
inference(forward_demodulation,[],[f10904,f10598]) ).
fof(f11164,plain,
( ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) ),
inference(resolution,[],[f10706,f10635]) ).
fof(f11165,plain,
( ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) ),
inference(forward_subsumption_resolution,[],[f11164,f10663]) ).
fof(f11170,plain,
( v5_pre_topc(sK38,sK36,sK37)
| k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) ),
inference(forward_subsumption_resolution,[],[f11165,f6558]) ).
fof(f11175,plain,
k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),
inference(forward_subsumption_resolution,[],[f11170,f10577]) ).
fof(f11193,plain,
! [X0] :
( ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK36))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),u1_struct_0(sK36))
| v3_struct_0(sK36)
| ~ l1_pre_topc(sK36) ),
inference(superposition,[],[f7670,f11175]) ).
fof(f11194,plain,
! [X0] :
( ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK36))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),u1_struct_0(sK36))
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f11193,f6552]) ).
fof(f11196,plain,
! [X0] :
( ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK36))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),u1_struct_0(sK36)) ),
inference(forward_subsumption_resolution,[],[f11194,f6550]) ).
fof(f11198,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),u1_struct_0(sK36)) ),
inference(forward_demodulation,[],[f11196,f10598]) ).
fof(f11200,plain,
! [X0] :
( ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ m1_subset_1(X0,k2_pre_topc(sK36))
| ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) ),
inference(forward_demodulation,[],[f11198,f10598]) ).
fof(f11202,definition,
( spl446_35
<=> ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) ) ),
introduced(definition,[new_symbols(definition,[spl446_35])],[avatar_definition]) ).
fof(f11203,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK36))
| k2_tex_4(sK36,X0) = k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ r2_hidden(X0,k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) )
| ~ spl446_35 ),
inference(avatar_component_clause,[],[f11202]) ).
fof(f11205,definition,
( spl446_36
<=> m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36)) ),
introduced(definition,[new_symbols(definition,[spl446_36])],[avatar_definition]) ).
fof(f11206,plain,
( ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| spl446_36 ),
inference(avatar_component_clause,[],[f11205]) ).
fof(f11207,plain,
( spl446_35
| ~ spl446_36 ),
inference(avatar_split_clause,[],[f11200,f11205,f11202]) ).
fof(f11209,plain,
( ~ m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| spl446_36 ),
inference(resolution,[],[f11206,f10705]) ).
fof(f11211,plain,
( ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| spl446_36 ),
inference(forward_subsumption_resolution,[],[f11209,f10635]) ).
fof(f11212,plain,
( ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| spl446_36 ),
inference(forward_subsumption_resolution,[],[f11211,f10663]) ).
fof(f11213,plain,
( v5_pre_topc(sK38,sK36,sK37)
| spl446_36 ),
inference(forward_subsumption_resolution,[],[f11212,f6558]) ).
fof(f11214,plain,
( $false
| spl446_36 ),
inference(forward_subsumption_resolution,[],[f11213,f10577]) ).
fof(f11215,plain,
spl446_36,
inference(avatar_contradiction_clause,[],[f11214]) ).
fof(f11383,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X0,X1) ),
inference(resolution,[],[f7075,f6613]) ).
fof(f11574,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK37))
| m1_subset_1(X0,k2_pre_topc(sK36))
| ~ m1_subset_1(X0,k2_pre_topc(sK37)) ),
inference(resolution,[],[f11383,f10656]) ).
fof(f11579,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| m1_subset_1(X0,k2_pre_topc(sK36)) ),
inference(forward_subsumption_resolution,[],[f11574,f10778]) ).
fof(f11624,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK36)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK36)))
| v3_struct_0(sK36)
| k1_struct_0(sK36,X0) = k5_subset_1(u1_struct_0(sK36),X1,k4_tex_4(sK36,X0))
| ~ l1_pre_topc(sK36) ),
inference(resolution,[],[f10516,f6551]) ).
fof(f11625,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK36)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK36)))
| k1_struct_0(sK36,X0) = k5_subset_1(u1_struct_0(sK36),X1,k4_tex_4(sK36,X0))
| ~ l1_pre_topc(sK36) ),
inference(forward_subsumption_resolution,[],[f11624,f6552]) ).
fof(f11626,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK36)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK36)))
| k1_struct_0(sK36,X0) = k5_subset_1(u1_struct_0(sK36),X1,k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11625,f6550]) ).
fof(f11627,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK36)
| k1_struct_0(sK36,X0) = k5_subset_1(u1_struct_0(sK36),X1,k4_tex_4(sK36,X0)) ),
inference(forward_demodulation,[],[f11626,f10598]) ).
fof(f11628,plain,
! [X0,X1] :
( ~ v1_tsp_1(X1,sK36)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,X1)
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),X1,k4_tex_4(sK36,X0)) ),
inference(forward_demodulation,[],[f11627,f10598]) ).
fof(f11977,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK37),X0)
| ~ m1_subset_1(u1_struct_0(sK37),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(sK37)
| ~ m2_tsp_1(sK37,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f10104,f10651]) ).
fof(f11978,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK37),X0)
| v3_struct_0(sK37)
| ~ m2_tsp_1(sK37,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f11977,f6482]) ).
fof(f11979,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK37),X0)
| ~ m2_tsp_1(sK37,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f11978,f6555]) ).
fof(f11980,plain,
! [X0] :
( v1_tsp_1(k2_pre_topc(sK37),X0)
| ~ m2_tsp_1(sK37,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f11979,f10614]) ).
fof(f11981,plain,
! [X0] :
( ~ m2_tsp_1(sK37,sK36)
| v3_struct_0(sK36)
| ~ l1_pre_topc(sK36)
| ~ m1_subset_1(k2_pre_topc(sK37),k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(resolution,[],[f11980,f11628]) ).
fof(f11982,plain,
! [X0] :
( v3_struct_0(sK36)
| ~ l1_pre_topc(sK36)
| ~ m1_subset_1(k2_pre_topc(sK37),k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11981,f6553]) ).
fof(f11983,plain,
! [X0] :
( ~ l1_pre_topc(sK36)
| ~ m1_subset_1(k2_pre_topc(sK37),k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11982,f6552]) ).
fof(f11984,plain,
! [X0] :
( ~ m1_subset_1(k2_pre_topc(sK37),k1_zfmisc_1(k2_pre_topc(sK36)))
| ~ r2_hidden(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11983,f6550]) ).
fof(f11985,plain,
! [X0] :
( ~ r2_hidden(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11984,f10656]) ).
fof(f11987,plain,
! [X0] :
( k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK37))
| v1_xboole_0(k2_pre_topc(sK37)) ),
inference(resolution,[],[f11985,f7075]) ).
fof(f11989,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k1_struct_0(sK36,X0) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,X0)) ),
inference(forward_subsumption_resolution,[],[f11987,f10778]) ).
fof(f12855,plain,
( ~ m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(resolution,[],[f10773,f10663]) ).
fof(f12857,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12855,f10635]) ).
fof(f12861,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12857,f6558]) ).
fof(f12865,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12861,f10577]) ).
fof(f12872,plain,
( r2_hidden(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(superposition,[],[f10661,f12865]) ).
fof(f12875,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| v1_xboole_0(k2_pre_topc(sK36))
| ~ v1_funct_1(sK38)
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(superposition,[],[f7540,f12865]) ).
fof(f12876,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12875,f10779]) ).
fof(f12883,definition,
( spl446_116
<=> r2_hidden(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) ),
introduced(definition,[new_symbols(definition,[spl446_116])],[avatar_definition]) ).
fof(f12884,plain,
( r2_hidden(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_116 ),
inference(avatar_component_clause,[],[f12883]) ).
fof(f12885,plain,
( ~ spl446_36
| spl446_116
| ~ spl446_19 ),
inference(avatar_split_clause,[],[f12872,f10766,f12883,f11205]) ).
fof(f12886,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12876,f6558]) ).
fof(f12888,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| ~ m1_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12886,f10663]) ).
fof(f12890,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| ~ m1_subset_1(sK35(sK36,sK37,sK38,k2_pre_topc(sK37)),k2_pre_topc(sK36))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f12888,f10632]) ).
fof(f12893,definition,
( spl446_117
<=> m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37)) ),
introduced(definition,[new_symbols(definition,[spl446_117])],[avatar_definition]) ).
fof(f12894,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK37))
| ~ spl446_117 ),
inference(avatar_component_clause,[],[f12893]) ).
fof(f12895,plain,
( ~ spl446_36
| spl446_117
| ~ spl446_19 ),
inference(avatar_split_clause,[],[f12890,f10766,f12893,f11205]) ).
fof(f12896,plain,
( $false
| ~ spl446_20 ),
inference(forward_subsumption_resolution,[],[f10770,f10779]) ).
fof(f12897,plain,
~ spl446_20,
inference(avatar_contradiction_clause,[],[f12896]) ).
fof(f12899,plain,
( k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k1_tarski(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_117 ),
inference(resolution,[],[f12894,f10905]) ).
fof(f12901,plain,
( m1_subset_1(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k2_pre_topc(sK36))
| ~ spl446_117 ),
inference(resolution,[],[f12894,f11579]) ).
fof(f12902,plain,
( k1_struct_0(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))))
| ~ spl446_117 ),
inference(resolution,[],[f12894,f11989]) ).
fof(f12909,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(X0,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k1_funct_1(sK38,sK35(sK36,sK37,X0,k2_pre_topc(sK37))) = k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,X0,k2_pre_topc(sK37)))
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK36,sK37) )
| ~ spl446_19 ),
inference(resolution,[],[f10767,f10705]) ).
fof(f12945,plain,
( k4_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k2_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_117 ),
inference(resolution,[],[f12901,f10599]) ).
fof(f12949,plain,
( k1_tarski(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k1_struct_0(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_117 ),
inference(resolution,[],[f12901,f10906]) ).
fof(f12953,plain,
( k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ r2_hidden(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_35
| ~ spl446_117 ),
inference(resolution,[],[f12901,f11203]) ).
fof(f12969,plain,
( k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k2_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(forward_subsumption_resolution,[],[f12953,f12884]) ).
fof(f13052,plain,
( k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k4_tex_4(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(superposition,[],[f12969,f12945]) ).
fof(f13068,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k1_struct_0(sK36,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(superposition,[],[f12902,f13052]) ).
fof(f13082,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) = k1_tarski(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(forward_demodulation,[],[f13068,f12949]) ).
fof(f13200,plain,
( ~ m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(resolution,[],[f12909,f10663]) ).
fof(f13202,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13200,f10635]) ).
fof(f13206,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13202,f6558]) ).
fof(f13210,plain,
( k8_funct_2(k2_pre_topc(sK36),k2_pre_topc(sK37),sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))) = k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13206,f10577]) ).
fof(f13219,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ v1_funct_2(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(superposition,[],[f10689,f13210]) ).
fof(f13221,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ m2_relset_1(sK38,k2_pre_topc(sK36),k2_pre_topc(sK37))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13219,f10663]) ).
fof(f13222,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ v1_funct_1(sK38)
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13221,f10635]) ).
fof(f13223,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| v5_pre_topc(sK38,sK36,sK37)
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13222,f6558]) ).
fof(f13224,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_struct_0(sK37,k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_19 ),
inference(forward_subsumption_resolution,[],[f13223,f10577]) ).
fof(f13225,plain,
( k5_subset_1(k2_pre_topc(sK36),k2_pre_topc(sK37),k4_tex_4(sK36,sK35(sK36,sK37,sK38,k2_pre_topc(sK37)))) != k1_tarski(k1_funct_1(sK38,sK35(sK36,sK37,sK38,k2_pre_topc(sK37))))
| ~ spl446_19
| ~ spl446_117 ),
inference(forward_demodulation,[],[f13224,f12899]) ).
fof(f13226,plain,
( $false
| ~ spl446_19
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(forward_subsumption_resolution,[],[f13225,f13082]) ).
fof(f13227,plain,
( ~ spl446_19
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(avatar_contradiction_clause,[],[f13226]) ).
cnf(s13,plain,
( spl446_19
| spl446_20 ),
inference(sat_conversion,[],[f10771]) ).
cnf(s32,plain,
( spl446_35
| ~ spl446_36 ),
inference(sat_conversion,[],[f11207]) ).
cnf(s34,plain,
spl446_36,
inference(sat_conversion,[],[f11215]) ).
cnf(s102,plain,
( ~ spl446_19
| ~ spl446_36
| spl446_116 ),
inference(sat_conversion,[],[f12885]) ).
cnf(s103,plain,
( ~ spl446_19
| ~ spl446_36
| spl446_117 ),
inference(sat_conversion,[],[f12895]) ).
cnf(s104,plain,
~ spl446_20,
inference(sat_conversion,[],[f12897]) ).
cnf(s112,plain,
( ~ spl446_19
| ~ spl446_35
| ~ spl446_116
| ~ spl446_117 ),
inference(sat_conversion,[],[f13227]) ).
cnf(s121,plain,
spl446_35,
inference(rat,[],[s32,s34]) ).
cnf(s127,plain,
spl446_19,
inference(rat,[],[s13,s104]) ).
cnf(s128,plain,
spl446_117,
inference(rat,[],[s103,s34,s127]) ).
cnf(s129,plain,
spl446_116,
inference(rat,[],[s102,s34,s127]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s112,s127,s121,s128,s129]) ).
fof(f13228,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP032+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n020.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 18:58:35 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.59/2.61 % (427846)Detected formulas, will run a generic FOF schedule.
% 12.59/2.61 % (427851)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=1562588852:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.59/2.61 % (427857)dis-21_1_sil=8000:lcm=predicate:random_seed=3704341675:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.59/2.61 % (427852)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=4084262271:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.59/2.61 % (427855)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2939990643:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.59/2.61 % (427856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=927467797:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.59/2.61 % (427854)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4018091570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.59/2.61 % (427853)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=4222491993:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.59/2.61 % (427855)Instruction limit reached!
% 12.59/2.61 % (427855)------------------------------
% 12.59/2.61 % (427855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.61 % (427855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.61 % (427855)CaDiCaL version: 2.1.3
% 12.59/2.61 % (427855)Termination reason: Instruction limit
% 12.59/2.61 % (427855)Termination phase: Property scanning
% 12.59/2.61 % (427855)Time elapsed: 0.069 s
% 12.59/2.61 % (427855)Peak memory usage: 93 MB
% 12.59/2.61 % (427855)Instructions burned: 122 (million)
% 12.59/2.61 % (427854)Instruction limit reached!
% 12.59/2.61 % (427854)------------------------------
% 12.59/2.61 % (427854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.61 % (427854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.61 % (427854)CaDiCaL version: 2.1.3
% 12.59/2.61 % (427854)Termination reason: Instruction limit
% 12.59/2.61 % (427854)Termination phase: Saturation
% 12.59/2.61 % (427854)Time elapsed: 0.072 s
% 12.59/2.61 % (427854)Peak memory usage: 93 MB
% 12.59/2.61 % (427854)Instructions burned: 110 (million)
% 12.59/2.61 % (427857)Instruction limit reached!
% 12.59/2.61 % (427857)------------------------------
% 12.59/2.61 % (427857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.61 % (427857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.61 % (427857)CaDiCaL version: 2.1.3
% 12.59/2.61 % (427857)Termination reason: Instruction limit
% 12.59/2.61 % (427857)Termination phase: Preprocessing 3
% 12.59/2.61 % (427857)Time elapsed: 0.088 s
% 12.59/2.61 % (427857)Peak memory usage: 94 MB
% 12.59/2.61 % (427857)Instructions burned: 130 (million)
% 12.59/2.61 % (427856)Instruction limit reached!
% 12.59/2.61 % (427856)------------------------------
% 12.59/2.61 % (427856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.61 % (427856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.61 % (427856)CaDiCaL version: 2.1.3
% 12.59/2.61 % (427856)Termination reason: Instruction limit
% 12.59/2.61 % (427856)Termination phase: Preprocessing 3
% 12.59/2.61 % (427856)Time elapsed: 0.091 s
% 12.59/2.61 % (427856)Peak memory usage: 93 MB
% 12.59/2.61 % (427856)Instructions burned: 139 (million)
% 12.59/2.61 % (427866)lrs+10_1_sil=32000:urr=on:br=off:random_seed=101455819:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.59/2.61 % (427865)lrs+10_1_sil=8000:sp=occurrence:random_seed=1212875410:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.59/2.61 % (427867)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3075035883:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.59/2.61 % (427868)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=4029374873:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.59/2.61 % (427866)Instruction limit reached!
% 12.59/2.61 % (427866)------------------------------
% 16.30/3.08 % (427866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427866)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427866)Termination reason: Instruction limit
% 16.30/3.08 % (427866)Termination phase: Saturation
% 16.30/3.08 % (427866)Time elapsed: 0.087 s
% 16.30/3.08 % (427866)Peak memory usage: 93 MB
% 16.30/3.08 % (427866)Instructions burned: 157 (million)
% 16.30/3.08 % (427868)Instruction limit reached!
% 16.30/3.08 % (427868)------------------------------
% 16.30/3.08 % (427868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427868)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427868)Termination reason: Instruction limit
% 16.30/3.08 % (427868)Termination phase: Property scanning
% 16.30/3.08 % (427868)Time elapsed: 0.139 s
% 16.30/3.08 % (427868)Peak memory usage: 97 MB
% 16.30/3.08 % (427868)Instructions burned: 250 (million)
% 16.30/3.08 % (427865)Instruction limit reached!
% 16.30/3.08 % (427865)------------------------------
% 16.30/3.08 % (427865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427865)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427865)Termination reason: Instruction limit
% 16.30/3.08 % (427865)Termination phase: Saturation
% 16.30/3.08 % (427865)Time elapsed: 0.174 s
% 16.30/3.08 % (427865)Peak memory usage: 97 MB
% 16.30/3.08 % (427865)Instructions burned: 286 (million)
% 16.30/3.08 % (427867)Instruction limit reached!
% 16.30/3.08 % (427867)------------------------------
% 16.30/3.08 % (427867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427867)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427867)Termination reason: Instruction limit
% 16.30/3.08 % (427867)Termination phase: Saturation
% 16.30/3.08 % (427867)Time elapsed: 0.210 s
% 16.30/3.08 % (427867)Peak memory usage: 96 MB
% 16.30/3.08 % (427867)Instructions burned: 327 (million)
% 16.30/3.08 % (427873)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1620381554:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.30/3.08 % (427874)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1480519097:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 16.30/3.08 % (427875)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2627518262:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.30/3.08 % (427876)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3846885602:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.30/3.08 % (427875)Instruction limit reached!
% 16.30/3.08 % (427875)------------------------------
% 16.30/3.08 % (427875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427875)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427875)Termination reason: Instruction limit
% 16.30/3.08 % (427875)Termination phase: Property scanning
% 16.30/3.08 % (427875)Time elapsed: 0.072 s
% 16.30/3.08 % (427875)Peak memory usage: 93 MB
% 16.30/3.08 % (427875)Instructions burned: 114 (million)
% 16.30/3.08 % (427873)Instruction limit reached!
% 16.30/3.08 % (427873)------------------------------
% 16.30/3.08 % (427873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427873)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427873)Termination reason: Instruction limit
% 16.30/3.08 % (427873)Termination phase: Saturation
% 16.30/3.08 % (427873)Time elapsed: 0.173 s
% 16.30/3.08 % (427873)Peak memory usage: 98 MB
% 16.30/3.08 % (427873)Instructions burned: 295 (million)
% 16.30/3.08 % (427876)Instruction limit reached!
% 16.30/3.08 % (427876)------------------------------
% 16.30/3.08 % (427876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427876)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427876)Termination reason: Instruction limit
% 16.30/3.08 % (427876)Termination phase: Preprocessing 3
% 16.30/3.08 % (427876)Time elapsed: 0.086 s
% 16.30/3.08 % (427876)Peak memory usage: 96 MB
% 16.30/3.08 % (427876)Instructions burned: 128 (million)
% 16.30/3.08 % (427881)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2248000354:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.30/3.08 % (427882)lrs+10_1_sil=8000:sp=occurrence:random_seed=3762194720:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.30/3.08 % (427881)Instruction limit reached!
% 16.30/3.08 % (427881)------------------------------
% 16.30/3.08 % (427881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427881)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427881)Termination reason: Instruction limit
% 16.30/3.08 % (427881)Termination phase: Preprocessing 3
% 16.30/3.08 % (427881)Time elapsed: 0.060 s
% 16.30/3.08 % (427881)Peak memory usage: 90 MB
% 16.30/3.08 % (427881)Instructions burned: 114 (million)
% 16.30/3.08 % (427883)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3537594114:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.30/3.08 % (427886)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2103602584:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 16.30/3.08 % (427883)Instruction limit reached!
% 16.30/3.08 % (427883)------------------------------
% 16.30/3.08 % (427883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427883)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427883)Termination reason: Instruction limit
% 16.30/3.08 % (427883)Termination phase: Saturation
% 16.30/3.08 % (427883)Time elapsed: 0.249 s
% 16.30/3.08 % (427883)Peak memory usage: 96 MB
% 16.30/3.08 % (427883)Instructions burned: 439 (million)
% 16.30/3.08 % (427889)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=970757578:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 16.30/3.08 % (427874)Instruction limit reached!
% 16.30/3.08 % (427874)------------------------------
% 16.30/3.08 % (427874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427874)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427874)Termination reason: Instruction limit
% 16.30/3.08 % (427874)Termination phase: Saturation
% 16.30/3.08 % (427874)Time elapsed: 0.846 s
% 16.30/3.08 % (427874)Peak memory usage: 244 MB
% 16.30/3.08 % (427874)Instructions burned: 2354 (million)
% 16.30/3.08 % (427882)Instruction limit reached!
% 16.30/3.08 % (427882)------------------------------
% 16.30/3.08 % (427882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427889)Instruction limit reached!
% 16.30/3.08 % (427889)------------------------------
% 16.30/3.08 % (427889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427889)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427882)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427889)Termination reason: Instruction limit
% 16.30/3.08 % (427889)Termination phase: Saturation
% 16.30/3.08 % (427882)Termination reason: Instruction limit
% 16.30/3.08 % (427882)Termination phase: Saturation
% 16.30/3.08 % (427889)Time elapsed: 0.080 s
% 16.30/3.08 % (427882)Time elapsed: 0.578 s
% 16.30/3.08 % (427889)Peak memory usage: 95 MB
% 16.30/3.08 % (427882)Peak memory usage: 106 MB
% 16.30/3.08 % (427882)Instructions burned: 908 (million)
% 16.30/3.08 % (427889)Instructions burned: 135 (million)
% 16.30/3.08 % (427891)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=256010446:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 16.30/3.08 % (427893)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2316026950:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 16.30/3.08 % (427892)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2362065398:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 16.30/3.08 % (427893)Instruction limit reached!
% 16.30/3.08 % (427893)------------------------------
% 16.30/3.08 % (427893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427893)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427893)Termination reason: Instruction limit
% 16.30/3.08 % (427893)Termination phase: Property scanning
% 16.30/3.08 % (427893)Time elapsed: 0.075 s
% 16.30/3.08 % (427893)Peak memory usage: 92 MB
% 16.30/3.08 % (427893)Instructions burned: 128 (million)
% 16.30/3.08 % (427891)Instruction limit reached!
% 16.30/3.08 % (427891)------------------------------
% 16.30/3.08 % (427891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427891)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427891)Termination reason: Instruction limit
% 16.30/3.08 % (427891)Termination phase: Saturation
% 16.30/3.08 % (427891)Time elapsed: 0.169 s
% 16.30/3.08 % (427891)Peak memory usage: 106 MB
% 16.30/3.08 % (427891)Instructions burned: 593 (million)
% 16.30/3.08 % (427898)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1777612024:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 16.30/3.08 % (427852)First to succeed.
% 16.30/3.08 % (427852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-427846"
% 16.30/3.08 % (427897)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=869808914:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 16.30/3.08 % (427898)Instruction limit reached!
% 16.30/3.08 % (427898)------------------------------
% 16.30/3.08 % (427898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427898)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427898)Termination reason: Instruction limit
% 16.30/3.08 % (427898)Termination phase: Saturation
% 16.30/3.08 % (427898)Time elapsed: 0.048 s
% 16.30/3.08 % (427898)Peak memory usage: 95 MB
% 16.30/3.08 % (427898)Instructions burned: 143 (million)
% 16.30/3.08 % (427897)Instruction limit reached!
% 16.30/3.08 % (427897)------------------------------
% 16.30/3.08 % (427897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.30/3.08 % (427897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.08 % (427897)CaDiCaL version: 2.1.3
% 16.30/3.08 % (427897)Termination reason: Instruction limit
% 16.30/3.08 % (427897)Termination phase: Unused predicate definition removal
% 16.30/3.08 % (427897)Time elapsed: 0.072 s
% 16.30/3.08 % (427897)Peak memory usage: 90 MB
% 16.30/3.08 % (427897)Instructions burned: 134 (million)
% 16.30/3.08 % (427901)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1717985847:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 16.30/3.08 % (427902)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1100809970:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 16.30/3.08 % (427852)Refutation found. Thanks to Tanya!
% 16.30/3.08 % SZS status Theorem for theBenchmark
% 16.30/3.08 % SZS output start Proof for theBenchmark
% See solution above
% 16.72/3.28 % (427852)------------------------------
% 16.72/3.28 % (427852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.28 % (427852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.28 % (427852)CaDiCaL version: 2.1.3
% 16.72/3.28 % (427852)Termination reason: Refutation
% 16.72/3.28 % (427852)Time elapsed: 1.784 s
% 16.72/3.28 % (427852)Peak memory usage: 163 MB
% 16.72/3.28 % (427852)Instructions burned: 2816 (million)
% 16.72/3.28 % (427852)------------------------------
% 16.72/3.28 % (427852)------------------------------
% 16.72/3.28 % (427846)Success in time 2.424 s
% 16.72/3.28 % Vampire exiting
%------------------------------------------------------------------------------