%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP033+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:33:57 PM UTC 2026
% Result : Theorem 33.01s 6.27s
% Output : Refutation 38.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 35
% Syntax : Number of formulae : 339 ( 51 unt; 11 def)
% Number of atoms : 1618 ( 188 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 2175 ( 896 ~;1009 |; 186 &)
% ( 32 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 12 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 4 con; 0-4 aty)
% Number of variables : 447 ( 0 sgn 423 !; 24 ?)
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1043,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X2,X0)
=> ( r1_tarski(X0,X1)
=> m2_relset_1(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f1087,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(f1349,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( r1_tarski(X1,X2)
=> ( ( X1 = k1_xboole_0
& X0 != k1_xboole_0 )
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_2) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f1954,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f2140,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2611,axiom,
! [X0] : u1_pre_topc(k2_pcomps_1(X0)) = k1_pcomps_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_pcomps_1) ).
fof(f2652,axiom,
! [X0] : k1_pcomps_1(X0) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(f3530,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ( m2_tsp_1(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tsp_1) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d8_tsp_2) ).
fof(f3616,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))
& v5_pre_topc(X2,X0,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)) ) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_tsp_2) ).
fof(f3617,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))
& v5_pre_topc(X2,X0,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)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_tsp_2) ).
fof(f3618,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))
& v5_pre_topc(X2,X0,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)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3617]) ).
fof(f3661,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(f3662,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,[],[f3661]) ).
fof(f3695,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(f3696,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,[],[f3695]) ).
fof(f3701,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(f3702,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,[],[f3701]) ).
fof(f3737,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,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))
| ~ v5_pre_topc(X2,X0,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(f3738,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,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))
| ~ v5_pre_topc(X2,X0,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,[],[f3737]) ).
fof(f3739,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_borsuk_1(X2,X0,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))
& v5_pre_topc(X2,X0,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,[],[f3618]) ).
fof(f3740,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_borsuk_1(X2,X0,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))
& v5_pre_topc(X2,X0,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,[],[f3739]) ).
fof(f3751,plain,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
| ~ r1_tarski(X0,X1)
| ~ m2_relset_1(X3,X2,X0) ),
inference(ennf_transformation,[],[f1043]) ).
fof(f3752,plain,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
| ~ r1_tarski(X0,X1)
| ~ m2_relset_1(X3,X2,X0) ),
inference(flattening,[],[f3751]) ).
fof(f3784,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(f3785,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f3784]) ).
fof(f3814,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(f3815,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,[],[f3814]) ).
fof(f3846,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(f3847,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,[],[f3846]) ).
fof(f3875,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(f3876,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,[],[f3875]) ).
fof(f4105,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(f4181,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f4194,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3530]) ).
fof(f4330,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(f4331,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,[],[f4330]) ).
fof(f4332,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(f4333,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,[],[f4332]) ).
fof(f4459,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(f4460,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,[],[f4459]) ).
fof(f4630,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4634,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2140]) ).
fof(f4635,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f4634]) ).
fof(f4656,plain,
! [X0,X1,X2,X3] :
( ( X1 = k1_xboole_0
& X0 != k1_xboole_0 )
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) )
| ~ r1_tarski(X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f1349]) ).
fof(f4657,plain,
! [X0,X1,X2,X3] :
( ( X1 = k1_xboole_0
& X0 != k1_xboole_0 )
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) )
| ~ r1_tarski(X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f4656]) ).
fof(f4811,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f7051,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,[],[f3662]) ).
fof(f7052,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,[],[f7051]) ).
fof(f7053,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ( k1_struct_0(X0,sK23(X0,X1)) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK23(X0,X1)))
& r2_hidden(sK23(X0,X1),X1)
& m1_subset_1(sK23(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,[sK23]),skolemize(X2,sK23(X0,X1))],[f7052]) ).
fof(f7072,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,[],[f3702]) ).
fof(f7073,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,[],[f7072]) ).
fof(f7074,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,[],[f7073]) ).
fof(f7075,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(sK32(X0,X1)),u1_pre_topc(sK32(X0,X1)))
& m2_tsp_1(X1,sK32(X0,X1))
& ~ v3_struct_0(sK32(X0,X1))
& v2_t_0topsp(sK32(X0,X1))
& m2_tsp_1(sK32(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,[sK32]),skolemize(X2,sK32(X0,X1))],[f7074]) ).
fof(f7093,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| ( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK40(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK40(X0,X1,X2,X3)))
& m1_subset_1(sK40(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))
| ~ v5_pre_topc(X2,X0,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,[sK40]),skolemize(X4,sK40(X0,X1,X2,X3))],[f3738]) ).
fof(f7094,plain,
( ~ v3_borsuk_1(sK43,sK41,sK42)
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,X3),k4_tex_4(sK41,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK41)) )
& v1_funct_1(sK43)
& v1_funct_2(sK43,u1_struct_0(sK41),u1_struct_0(sK42))
& v5_pre_topc(sK43,sK41,sK42)
& m2_relset_1(sK43,u1_struct_0(sK41),u1_struct_0(sK42))
& ~ v3_struct_0(sK42)
& v2_tsp_2(sK42,sK41)
& m2_tsp_1(sK42,sK41)
& ~ v3_struct_0(sK41)
& v2_pre_topc(sK41)
& l1_pre_topc(sK41) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42,sK43]),skolemize(X0,sK41),skolemize(X1,sK42),skolemize(X2,sK43)],[f3740]) ).
fof(f7126,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,[],[f3815]) ).
fof(f7234,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,[],[f4105]) ).
fof(f7269,plain,
! [X0] :
( ! [X1] :
( ( ( m2_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f4194]) ).
fof(f7270,plain,
! [X0] :
( ! [X1] :
( ( ( m2_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f7269]) ).
fof(f7271,plain,
! [X0] :
( ! [X1] :
( ( ( m2_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X4,X0)
& k3_xboole_0(X4,u1_struct_0(X1)) = X2 )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X5] :
( ( ( v4_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5 ) )
& ( ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X7,X0)
& k3_xboole_0(X7,u1_struct_0(X1)) = X5 )
| ~ v4_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f7270]) ).
fof(f7272,plain,
! [X0] :
( ! [X1] :
( ( ( m2_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != sK141(X0,X1) )
| ~ v4_pre_topc(sK141(X0,X1),X1) )
& ( ( m1_subset_1(sK142(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(sK142(X0,X1),X0)
& sK141(X0,X1) = k3_xboole_0(sK142(X0,X1),u1_struct_0(X1)) )
| v4_pre_topc(sK141(X0,X1),X1) )
& m1_subset_1(sK141(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X5] :
( ( ( v4_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5 ) )
& ( ( m1_subset_1(sK143(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(sK143(X0,X1,X5),X0)
& k3_xboole_0(sK143(X0,X1,X5),u1_struct_0(X1)) = X5 )
| ~ v4_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141,sK142,sK143]),skolemize(X2,sK141(X0,X1)),skolemize(X4,sK142(X0,X1)),skolemize(X7,sK143(X0,X1,X5))],[f7271]) ).
fof(f7351,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(f7360,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,[],[f4460]) ).
fof(f8236,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,[],[f7053]) ).
fof(f8280,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(cnf_transformation,[],[f3696]) ).
fof(f8286,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,[],[f7075]) ).
fof(f8356,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| m1_subset_1(sK40(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))
| ~ v5_pre_topc(X2,X0,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,[],[f7093]) ).
fof(f8357,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK40(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK40(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))
| ~ v5_pre_topc(X2,X0,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,[],[f7093]) ).
fof(f8358,plain,
l1_pre_topc(sK41),
inference(cnf_transformation,[],[f7094]) ).
fof(f8359,plain,
v2_pre_topc(sK41),
inference(cnf_transformation,[],[f7094]) ).
fof(f8360,plain,
~ v3_struct_0(sK41),
inference(cnf_transformation,[],[f7094]) ).
fof(f8361,plain,
m2_tsp_1(sK42,sK41),
inference(cnf_transformation,[],[f7094]) ).
fof(f8362,plain,
v2_tsp_2(sK42,sK41),
inference(cnf_transformation,[],[f7094]) ).
fof(f8363,plain,
~ v3_struct_0(sK42),
inference(cnf_transformation,[],[f7094]) ).
fof(f8364,plain,
m2_relset_1(sK43,u1_struct_0(sK41),u1_struct_0(sK42)),
inference(cnf_transformation,[],[f7094]) ).
fof(f8365,plain,
v5_pre_topc(sK43,sK41,sK42),
inference(cnf_transformation,[],[f7094]) ).
fof(f8366,plain,
v1_funct_2(sK43,u1_struct_0(sK41),u1_struct_0(sK42)),
inference(cnf_transformation,[],[f7094]) ).
fof(f8367,plain,
v1_funct_1(sK43),
inference(cnf_transformation,[],[f7094]) ).
fof(f8368,plain,
! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,X3),k4_tex_4(sK41,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK41)) ),
inference(cnf_transformation,[],[f7094]) ).
fof(f8369,plain,
~ v3_borsuk_1(sK43,sK41,sK42),
inference(cnf_transformation,[],[f7094]) ).
fof(f8380,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1)
| ~ m2_relset_1(X3,X2,X0) ),
inference(cnf_transformation,[],[f3752]) ).
fof(f8422,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f3785]) ).
fof(f8495,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,[],[f7126]) ).
fof(f8585,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,[],[f3847]) ).
fof(f8604,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,[],[f3876]) ).
fof(f8884,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7234]) ).
fof(f8967,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f4181]) ).
fof(f9034,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f7272]) ).
fof(f9347,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f4331]) ).
fof(f9348,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,[],[f4333]) ).
fof(f9416,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f7351]) ).
fof(f9505,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ 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)
| k2_tex_4(X0,X1) = k2_tex_4(X0,X2) ),
inference(cnf_transformation,[],[f7360]) ).
fof(f9741,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4630]) ).
fof(f9747,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4635]) ).
fof(f9798,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| v1_funct_2(X3,X0,X2)
| ~ r1_tarski(X1,X2)
| k1_xboole_0 = X1
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f4657]) ).
fof(f9980,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f4811]) ).
fof(f10580,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f1954]) ).
fof(f13020,plain,
! [X0] : k1_pcomps_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(cnf_transformation,[],[f2611]) ).
fof(f13134,plain,
! [X0] : k1_zfmisc_1(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f2652]) ).
fof(f13451,plain,
! [X0] : k1_zfmisc_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(definition_unfolding,[],[f13134,f13020]) ).
fof(f13463,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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8236,f13451]) ).
fof(f13501,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8280,f13451]) ).
fof(f13531,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK40(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK40(X0,X1,X2,X3)))
| ~ m1_subset_1(X3,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ 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))
| 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(definition_unfolding,[],[f8357,f13451]) ).
fof(f13532,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| m1_subset_1(sK40(X0,X1,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ 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))
| 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(definition_unfolding,[],[f8356,f13451]) ).
fof(f13536,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X2))) ),
inference(definition_unfolding,[],[f8422,f13451]) ).
fof(f13569,plain,
! [X2,X0,X1] :
( v1_tsp_1(X2,X0)
| ~ v2_t_0topsp(X1)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8495,f13451]) ).
fof(f15670,plain,
! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,sK40(X0,X1,X2,u1_struct_0(X1)))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK40(X0,X1,X2,u1_struct_0(X1))))
| v3_borsuk_1(X2,X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ 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))
| 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(equality_resolution,[],[f13531]) ).
fof(f15671,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| m1_subset_1(sK40(X0,X1,X2,u1_struct_0(X1)),u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ 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))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v3_borsuk_1(X2,X0,X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f13532]) ).
fof(f15672,plain,
! [X0,X1] :
( ~ v2_t_0topsp(X1)
| v1_tsp_1(u1_struct_0(X1),X0)
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_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,[],[f13569]) ).
fof(f16370,plain,
! [X3,X0,X1] :
( ~ v2_pre_topc(X0)
| ~ r2_hidden(X3,X1)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_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,[],[f13463,f13536]) ).
fof(f16454,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK41)
| l1_pre_topc(X0) ),
inference(resolution,[],[f8967,f8358]) ).
fof(f16455,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK43,X0,X2)
| k1_funct_1(sK43,X1) = k8_funct_2(X0,X2,sK43,X1)
| ~ v1_funct_2(sK43,X0,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f9347,f8367]) ).
fof(f16460,plain,
! [X0] :
( v3_struct_0(sK41)
| k4_tex_4(sK41,X0) = k2_tex_4(sK41,X0)
| ~ l1_pre_topc(sK41)
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(resolution,[],[f8585,f8359]) ).
fof(f16461,plain,
! [X0] :
( k4_tex_4(sK41,X0) = k2_tex_4(sK41,X0)
| ~ l1_pre_topc(sK41)
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_subsumption_resolution,[],[f16460,f8360]) ).
fof(f16462,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK41))
| k4_tex_4(sK41,X0) = k2_tex_4(sK41,X0) ),
inference(forward_subsumption_resolution,[],[f16461,f8358]) ).
fof(f16464,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f9980,f9741]) ).
fof(f16465,plain,
u1_struct_0(sK41) = k2_pre_topc(sK41),
inference(resolution,[],[f16464,f8358]) ).
fof(f16466,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| k4_tex_4(sK41,X0) = k2_tex_4(sK41,X0) ),
inference(superposition,[],[f16462,f16465]) ).
fof(f16468,plain,
m2_relset_1(sK43,k2_pre_topc(sK41),u1_struct_0(sK42)),
inference(superposition,[],[f8364,f16465]) ).
fof(f16469,plain,
v1_funct_2(sK43,k2_pre_topc(sK41),u1_struct_0(sK42)),
inference(superposition,[],[f8366,f16465]) ).
fof(f16474,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ m2_tsp_1(X0,sK41)
| v3_struct_0(sK41)
| ~ l1_pre_topc(sK41) ),
inference(superposition,[],[f13501,f16465]) ).
fof(f16477,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK41),u1_struct_0(X0),k4_tex_4(sK41,sK40(sK41,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(X0),X1,sK40(sK41,X0,X1,u1_struct_0(X0))))
| v3_borsuk_1(X1,sK41,X0)
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_struct_0(sK41)
| ~ v2_pre_topc(sK41)
| ~ l1_pre_topc(sK41) ),
inference(superposition,[],[f15670,f16465]) ).
fof(f16490,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK41),u1_struct_0(X0),k4_tex_4(sK41,sK40(sK41,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(X0),X1,sK40(sK41,X0,X1,u1_struct_0(X0))))
| v3_borsuk_1(X1,sK41,X0)
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| ~ v2_pre_topc(sK41)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16477,f8360]) ).
fof(f16493,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ m2_tsp_1(X0,sK41)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16474,f8360]) ).
fof(f16498,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK41),u1_struct_0(X0),k4_tex_4(sK41,sK40(sK41,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(X0),X1,sK40(sK41,X0,X1,u1_struct_0(X0))))
| v3_borsuk_1(X1,sK41,X0)
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16490,f8359]) ).
fof(f16500,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK41)
| m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41)))) ),
inference(forward_subsumption_resolution,[],[f16493,f8358]) ).
fof(f16505,plain,
! [X0,X1] :
( k5_subset_1(k2_pre_topc(sK41),u1_struct_0(X0),k4_tex_4(sK41,sK40(sK41,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(X0),X1,sK40(sK41,X0,X1,u1_struct_0(X0))))
| v3_borsuk_1(X1,sK41,X0)
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41) ),
inference(forward_subsumption_resolution,[],[f16498,f8358]) ).
fof(f16511,plain,
! [X0,X1] :
( ~ v2_tsp_2(X0,sK41)
| v3_borsuk_1(X1,sK41,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(X0),k4_tex_4(sK41,sK40(sK41,X0,X1,u1_struct_0(X0)))) != k1_struct_0(X0,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(X0),X1,sK40(sK41,X0,X1,u1_struct_0(X0))))
| ~ m2_tsp_1(X0,sK41) ),
inference(forward_subsumption_resolution,[],[f16505,f16500]) ).
fof(f16515,plain,
l1_pre_topc(sK42),
inference(resolution,[],[f16454,f8361]) ).
fof(f16517,plain,
u1_struct_0(sK42) = k2_pre_topc(sK42),
inference(resolution,[],[f16515,f16464]) ).
fof(f16521,plain,
! [X0,X1] :
( m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),u1_struct_0(sK41))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK41))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_struct_0(sK41)
| v3_borsuk_1(X1,sK41,X0)
| ~ l1_pre_topc(sK41) ),
inference(resolution,[],[f15671,f8359]) ).
fof(f16522,plain,
! [X0,X1] :
( m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),u1_struct_0(sK41))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_struct_0(sK41)
| v3_borsuk_1(X1,sK41,X0)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16521,f13501]) ).
fof(f16523,plain,
! [X0,X1] :
( m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),u1_struct_0(sK41))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_borsuk_1(X1,sK41,X0)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16522,f8360]) ).
fof(f16524,plain,
! [X0,X1] :
( m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),u1_struct_0(sK41))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_borsuk_1(X1,sK41,X0) ),
inference(forward_subsumption_resolution,[],[f16523,f8358]) ).
fof(f16525,plain,
! [X0,X1] :
( m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK41))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK41),u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_borsuk_1(X1,sK41,X0) ),
inference(forward_demodulation,[],[f16524,f16465]) ).
fof(f16526,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK41))
| ~ v1_funct_1(X1)
| ~ v5_pre_topc(X1,sK41,X0)
| ~ m2_relset_1(X1,u1_struct_0(sK41),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK41)
| ~ m2_tsp_1(X0,sK41)
| v3_borsuk_1(X1,sK41,X0) ),
inference(forward_demodulation,[],[f16525,f16465]) ).
fof(f16527,plain,
! [X0,X1] :
( ~ v2_tsp_2(X0,sK41)
| ~ v1_funct_2(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| m1_subset_1(sK40(sK41,X0,X1,u1_struct_0(X0)),k2_pre_topc(sK41))
| ~ v1_funct_1(X1)
| ~ v5_pre_topc(X1,sK41,X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_pre_topc(sK41),u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK41)
| v3_borsuk_1(X1,sK41,X0) ),
inference(forward_demodulation,[],[f16526,f16465]) ).
fof(f16528,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| m1_subset_1(sK40(sK41,sK42,X0,u1_struct_0(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| v3_struct_0(sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| ~ m2_tsp_1(sK42,sK41)
| v3_borsuk_1(X0,sK41,sK42) ),
inference(resolution,[],[f16527,f8362]) ).
fof(f16529,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| m1_subset_1(sK40(sK41,sK42,X0,u1_struct_0(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| ~ m2_tsp_1(sK42,sK41)
| v3_borsuk_1(X0,sK41,sK42) ),
inference(forward_subsumption_resolution,[],[f16528,f8363]) ).
fof(f16530,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| m1_subset_1(sK40(sK41,sK42,X0,u1_struct_0(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| v3_borsuk_1(X0,sK41,sK42) ),
inference(forward_subsumption_resolution,[],[f16529,f8361]) ).
fof(f16531,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| m1_subset_1(sK40(sK41,sK42,X0,u1_struct_0(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| v3_borsuk_1(X0,sK41,sK42) ),
inference(forward_demodulation,[],[f16530,f16517]) ).
fof(f16532,plain,
! [X0] :
( m1_subset_1(sK40(sK41,sK42,X0,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| v3_borsuk_1(X0,sK41,sK42) ),
inference(forward_demodulation,[],[f16531,f16517]) ).
fof(f16533,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| m1_subset_1(sK40(sK41,sK42,X0,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ m2_relset_1(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| v3_borsuk_1(X0,sK41,sK42) ),
inference(forward_demodulation,[],[f16532,f16517]) ).
fof(f16541,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK41)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK41)
| v3_struct_0(sK41)
| v2_t_0topsp(X0)
| ~ l1_pre_topc(sK41) ),
inference(resolution,[],[f8286,f8359]) ).
fof(f16542,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK41)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK41)
| v2_t_0topsp(X0)
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16541,f8360]) ).
fof(f16543,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK41)
| v3_struct_0(X0)
| ~ m2_tsp_1(X0,sK41)
| v2_t_0topsp(X0) ),
inference(forward_subsumption_resolution,[],[f16542,f8358]) ).
fof(f16544,plain,
( v3_struct_0(sK42)
| ~ m2_tsp_1(sK42,sK41)
| v2_t_0topsp(sK42) ),
inference(resolution,[],[f16543,f8362]) ).
fof(f16545,plain,
( ~ m2_tsp_1(sK42,sK41)
| v2_t_0topsp(sK42) ),
inference(forward_subsumption_resolution,[],[f16544,f8363]) ).
fof(f16546,plain,
v2_t_0topsp(sK42),
inference(forward_subsumption_resolution,[],[f16545,f8361]) ).
fof(f16566,plain,
( r1_tarski(u1_struct_0(sK42),u1_struct_0(sK41))
| ~ l1_pre_topc(sK42)
| ~ l1_pre_topc(sK41) ),
inference(resolution,[],[f9034,f8361]) ).
fof(f16567,plain,
( r1_tarski(u1_struct_0(sK42),u1_struct_0(sK41))
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16566,f16515]) ).
fof(f16568,plain,
r1_tarski(u1_struct_0(sK42),u1_struct_0(sK41)),
inference(forward_subsumption_resolution,[],[f16567,f8358]) ).
fof(f16569,plain,
r1_tarski(u1_struct_0(sK42),k2_pre_topc(sK41)),
inference(forward_demodulation,[],[f16568,f16465]) ).
fof(f16570,plain,
r1_tarski(k2_pre_topc(sK42),k2_pre_topc(sK41)),
inference(forward_demodulation,[],[f16569,f16517]) ).
fof(f16575,plain,
m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42)),
inference(superposition,[],[f16468,f16517]) ).
fof(f16576,plain,
v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42)),
inference(superposition,[],[f16469,f16517]) ).
fof(f16635,plain,
( m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| v3_borsuk_1(sK43,sK41,sK42) ),
inference(resolution,[],[f16576,f16533]) ).
fof(f16636,plain,
( m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| v3_borsuk_1(sK43,sK41,sK42) ),
inference(forward_subsumption_resolution,[],[f16635,f16575]) ).
fof(f16637,plain,
( m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ v5_pre_topc(sK43,sK41,sK42)
| v3_borsuk_1(sK43,sK41,sK42) ),
inference(forward_subsumption_resolution,[],[f16636,f8367]) ).
fof(f16638,plain,
( m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| v3_borsuk_1(sK43,sK41,sK42) ),
inference(forward_subsumption_resolution,[],[f16637,f8365]) ).
fof(f16639,plain,
m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41)),
inference(forward_subsumption_resolution,[],[f16638,f8369]) ).
fof(f16640,plain,
k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),
inference(resolution,[],[f16639,f16466]) ).
fof(f16675,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f9747,f9741]) ).
fof(f16690,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK43,X1,X2)
| k1_funct_1(sK43,X0) = k8_funct_2(X1,X2,sK43,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1)
| ~ m2_relset_1(sK43,X1,X2) ),
inference(resolution,[],[f16455,f9416]) ).
fof(f16691,plain,
! [X0] :
( k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,X0) = k1_funct_1(sK43,X0)
| v1_xboole_0(u1_struct_0(sK41))
| ~ m1_subset_1(X0,u1_struct_0(sK41))
| ~ m2_relset_1(sK43,u1_struct_0(sK41),u1_struct_0(sK42)) ),
inference(resolution,[],[f16690,f8366]) ).
fof(f16696,plain,
! [X0] :
( k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,X0) = k1_funct_1(sK43,X0)
| v1_xboole_0(u1_struct_0(sK41))
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_subsumption_resolution,[],[f16691,f8364]) ).
fof(f16698,definition,
( spl697_37
<=> v1_xboole_0(k2_pre_topc(sK41)) ),
introduced(definition,[new_symbols(definition,[spl697_37])],[avatar_definition]) ).
fof(f16699,plain,
( v1_xboole_0(k2_pre_topc(sK41))
| ~ spl697_37 ),
inference(avatar_component_clause,[],[f16698]) ).
fof(f16701,definition,
( spl697_38
<=> ! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK41)) ) ),
introduced(definition,[new_symbols(definition,[spl697_38])],[avatar_definition]) ).
fof(f16702,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,X0) )
| ~ spl697_38 ),
inference(avatar_component_clause,[],[f16701]) ).
fof(f16705,plain,
! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(u1_struct_0(sK41),k2_pre_topc(sK42),sK43,X0)
| v1_xboole_0(u1_struct_0(sK41))
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_demodulation,[],[f16696,f16517]) ).
fof(f16707,plain,
! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,X0)
| v1_xboole_0(u1_struct_0(sK41))
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_demodulation,[],[f16705,f16465]) ).
fof(f16708,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK41))
| k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_demodulation,[],[f16707,f16465]) ).
fof(f16709,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| v1_xboole_0(k2_pre_topc(sK41))
| k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,X0) ),
inference(forward_demodulation,[],[f16708,f16465]) ).
fof(f16710,plain,
( spl697_37
| spl697_38 ),
inference(avatar_split_clause,[],[f16709,f16701,f16698]) ).
fof(f16711,plain,
( ~ v1_xboole_0(k2_pre_topc(sK41))
| v3_struct_0(sK41)
| ~ l1_pre_topc(sK41) ),
inference(superposition,[],[f16675,f16465]) ).
fof(f16712,plain,
( ~ v1_xboole_0(k2_pre_topc(sK42))
| v3_struct_0(sK42)
| ~ l1_pre_topc(sK42) ),
inference(superposition,[],[f16675,f16517]) ).
fof(f16713,plain,
( ~ v1_xboole_0(k2_pre_topc(sK42))
| ~ l1_pre_topc(sK42) ),
inference(forward_subsumption_resolution,[],[f16712,f8363]) ).
fof(f16714,plain,
( v3_struct_0(sK41)
| ~ l1_pre_topc(sK41)
| ~ spl697_37 ),
inference(forward_subsumption_resolution,[],[f16711,f16699]) ).
fof(f16715,plain,
~ v1_xboole_0(k2_pre_topc(sK42)),
inference(forward_subsumption_resolution,[],[f16713,f16515]) ).
fof(f16716,plain,
( ~ l1_pre_topc(sK41)
| ~ spl697_37 ),
inference(forward_subsumption_resolution,[],[f16714,f8360]) ).
fof(f16717,plain,
( $false
| ~ spl697_37 ),
inference(forward_subsumption_resolution,[],[f16716,f8358]) ).
fof(f16718,plain,
~ spl697_37,
inference(avatar_contradiction_clause,[],[f16717]) ).
fof(f16719,plain,
( ~ v1_xboole_0(k2_pre_topc(sK41))
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f16711,f8360]) ).
fof(f16720,plain,
~ v1_xboole_0(k2_pre_topc(sK41)),
inference(forward_subsumption_resolution,[],[f16719,f8358]) ).
fof(f16722,plain,
( k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))
| ~ spl697_38 ),
inference(resolution,[],[f16702,f16639]) ).
fof(f16723,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| v1_xboole_0(k2_pre_topc(sK41))
| ~ v1_funct_1(sK43)
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(superposition,[],[f9348,f16722]) ).
fof(f16724,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| ~ v1_funct_1(sK43)
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16723,f16720]) ).
fof(f16725,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16724,f8367]) ).
fof(f16726,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16725,f16576]) ).
fof(f16727,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16726,f16639]) ).
fof(f16729,definition,
( spl697_39
<=> m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42)) ),
introduced(definition,[new_symbols(definition,[spl697_39])],[avatar_definition]) ).
fof(f16730,plain,
( ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| spl697_39 ),
inference(avatar_component_clause,[],[f16729]) ).
fof(f16732,definition,
( spl697_40
<=> m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42)) ),
introduced(definition,[new_symbols(definition,[spl697_40])],[avatar_definition]) ).
fof(f16733,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK42))
| ~ spl697_40 ),
inference(avatar_component_clause,[],[f16732]) ).
fof(f16734,plain,
( ~ spl697_39
| spl697_40
| ~ spl697_38 ),
inference(avatar_split_clause,[],[f16727,f16701,f16732,f16729]) ).
fof(f16736,plain,
( ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| spl697_39 ),
inference(resolution,[],[f16730,f9416]) ).
fof(f16738,plain,
( $false
| spl697_39 ),
inference(forward_subsumption_resolution,[],[f16736,f16575]) ).
fof(f16739,plain,
spl697_39,
inference(avatar_contradiction_clause,[],[f16738]) ).
fof(f16789,plain,
! [X0] :
( v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| v3_struct_0(sK42)
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(sK42),X0,sK40(sK41,sK42,X0,u1_struct_0(sK42))))
| ~ m2_tsp_1(sK42,sK41) ),
inference(resolution,[],[f16511,f8362]) ).
fof(f16790,plain,
! [X0] :
( v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(sK42),X0,sK40(sK41,sK42,X0,u1_struct_0(sK42))))
| ~ m2_tsp_1(sK42,sK41) ),
inference(forward_subsumption_resolution,[],[f16789,f8363]) ).
fof(f16791,plain,
! [X0] :
( v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(sK42),X0,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) ),
inference(forward_subsumption_resolution,[],[f16790,f8361]) ).
fof(f16792,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| ~ m2_relset_1(X0,k2_pre_topc(sK41),u1_struct_0(sK42))
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(sK42),X0,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) ),
inference(forward_demodulation,[],[f16791,f16517]) ).
fof(f16793,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42)
| k5_subset_1(k2_pre_topc(sK41),u1_struct_0(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),u1_struct_0(sK42),X0,sK40(sK41,sK42,X0,u1_struct_0(sK42)))) ),
inference(forward_demodulation,[],[f16792,f16517]) ).
fof(f16794,plain,
! [X0] :
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,X0,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),X0,sK40(sK41,sK42,X0,k2_pre_topc(sK42))))
| ~ m2_relset_1(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_2(X0,k2_pre_topc(sK41),k2_pre_topc(sK42))
| v3_borsuk_1(X0,sK41,sK42)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK41,sK42) ),
inference(forward_demodulation,[],[f16793,f16517]) ).
fof(f16795,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| v3_borsuk_1(sK43,sK41,sK42)
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| ~ spl697_38 ),
inference(superposition,[],[f16794,f16722]) ).
fof(f16796,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK42))
| v3_borsuk_1(sK43,sK41,sK42)
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16795,f16575]) ).
fof(f16797,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| v3_borsuk_1(sK43,sK41,sK42)
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16796,f16576]) ).
fof(f16798,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ v1_funct_1(sK43)
| ~ v5_pre_topc(sK43,sK41,sK42)
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16797,f8369]) ).
fof(f16799,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ v5_pre_topc(sK43,sK41,sK42)
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16798,f8367]) ).
fof(f16800,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f16799,f8365]) ).
fof(f16808,plain,
m1_subset_1(u1_struct_0(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41)))),
inference(resolution,[],[f16500,f8361]) ).
fof(f16809,plain,
m1_subset_1(k2_pre_topc(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41)))),
inference(forward_demodulation,[],[f16808,f16517]) ).
fof(f16872,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,[],[f8604,f9741]) ).
fof(f16873,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK41,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK41))
| v3_struct_0(sK41) ),
inference(resolution,[],[f16872,f8358]) ).
fof(f16874,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK42,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK42))
| v3_struct_0(sK42) ),
inference(resolution,[],[f16872,f16515]) ).
fof(f16875,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK42,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK42)) ),
inference(forward_subsumption_resolution,[],[f16874,f8363]) ).
fof(f16876,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK41,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK41)) ),
inference(forward_subsumption_resolution,[],[f16873,f8360]) ).
fof(f16877,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK42))
| k1_tarski(X0) = k1_struct_0(sK42,X0) ),
inference(forward_demodulation,[],[f16875,f16517]) ).
fof(f16878,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| k1_tarski(X0) = k1_struct_0(sK41,X0) ),
inference(forward_demodulation,[],[f16876,f16465]) ).
fof(f16888,plain,
( k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k1_tarski(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_40 ),
inference(resolution,[],[f16877,f16733]) ).
fof(f18463,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK41)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK41))))
| v3_struct_0(sK41)
| k1_struct_0(sK41,X0) = k5_subset_1(u1_struct_0(sK41),X1,k4_tex_4(sK41,X0))
| ~ l1_pre_topc(sK41) ),
inference(resolution,[],[f16370,f8359]) ).
fof(f18464,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK41)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK41))))
| k1_struct_0(sK41,X0) = k5_subset_1(u1_struct_0(sK41),X1,k4_tex_4(sK41,X0))
| ~ l1_pre_topc(sK41) ),
inference(forward_subsumption_resolution,[],[f18463,f8360]) ).
fof(f18465,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK41)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK41))))
| k1_struct_0(sK41,X0) = k5_subset_1(u1_struct_0(sK41),X1,k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18464,f8358]) ).
fof(f18466,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,X1)
| ~ v1_tsp_1(X1,sK41)
| k1_struct_0(sK41,X0) = k5_subset_1(u1_struct_0(sK41),X1,k4_tex_4(sK41,X0)) ),
inference(forward_demodulation,[],[f18465,f16465]) ).
fof(f18467,plain,
! [X0,X1] :
( ~ v1_tsp_1(X1,sK41)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,X1)
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),X1,k4_tex_4(sK41,X0)) ),
inference(forward_demodulation,[],[f18466,f16465]) ).
fof(f18667,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k2_tex_4(sK41,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK41))
| ~ m1_subset_1(X1,u1_struct_0(sK41))
| v3_struct_0(sK41)
| k2_tex_4(sK41,X0) = k2_tex_4(sK41,X1) ),
inference(resolution,[],[f9505,f8358]) ).
fof(f18671,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k2_tex_4(sK41,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK41))
| ~ m1_subset_1(X1,u1_struct_0(sK41))
| k2_tex_4(sK41,X0) = k2_tex_4(sK41,X1) ),
inference(forward_subsumption_resolution,[],[f18667,f8360]) ).
fof(f18673,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| ~ r2_hidden(X0,k2_tex_4(sK41,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK41))
| k2_tex_4(sK41,X0) = k2_tex_4(sK41,X1) ),
inference(forward_demodulation,[],[f18671,f16465]) ).
fof(f18675,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k2_tex_4(sK41,X1))
| ~ m1_subset_1(X0,k2_pre_topc(sK41))
| ~ m1_subset_1(X1,k2_pre_topc(sK41))
| k2_tex_4(sK41,X0) = k2_tex_4(sK41,X1) ),
inference(forward_demodulation,[],[f18673,f16465]) ).
fof(f18679,plain,
! [X0] :
( ~ r2_hidden(X0,k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(X0,k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| k2_tex_4(sK41,X0) = k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) ),
inference(superposition,[],[f18675,f16640]) ).
fof(f18682,plain,
! [X0] :
( ~ r2_hidden(X0,k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(X0,k2_pre_topc(sK41))
| k2_tex_4(sK41,X0) = k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) ),
inference(forward_subsumption_resolution,[],[f18679,f16639]) ).
fof(f18691,plain,
( ~ m1_subset_1(k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41)) ),
inference(resolution,[],[f18682,f8368]) ).
fof(f18696,plain,
( ~ m1_subset_1(k8_funct_2(u1_struct_0(sK41),k2_pre_topc(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41)) ),
inference(forward_demodulation,[],[f18691,f16517]) ).
fof(f18698,definition,
( spl697_131
<=> k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) ),
introduced(definition,[new_symbols(definition,[spl697_131])],[avatar_definition]) ).
fof(f18699,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_131 ),
inference(avatar_component_clause,[],[f18698]) ).
fof(f18701,definition,
( spl697_132
<=> m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41)) ),
introduced(definition,[new_symbols(definition,[spl697_132])],[avatar_definition]) ).
fof(f18706,plain,
( ~ m1_subset_1(k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41)) ),
inference(forward_demodulation,[],[f18696,f16465]) ).
fof(f18709,plain,
( ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(u1_struct_0(sK41),u1_struct_0(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41))
| ~ spl697_38 ),
inference(forward_demodulation,[],[f18706,f16722]) ).
fof(f18712,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(u1_struct_0(sK41),k2_pre_topc(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41))
| ~ spl697_38 ),
inference(forward_demodulation,[],[f18709,f16517]) ).
fof(f18714,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK42),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41))
| ~ spl697_38 ),
inference(forward_demodulation,[],[f18712,f16465]) ).
fof(f18716,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),u1_struct_0(sK41))
| ~ spl697_38 ),
inference(forward_demodulation,[],[f18714,f16722]) ).
fof(f18717,plain,
( ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(forward_demodulation,[],[f18716,f16465]) ).
fof(f18718,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ spl697_38 ),
inference(forward_subsumption_resolution,[],[f18717,f16639]) ).
fof(f18719,plain,
( ~ spl697_132
| spl697_131
| ~ spl697_38 ),
inference(avatar_split_clause,[],[f18718,f16701,f18698,f18701]) ).
fof(f18929,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK42),X0)
| ~ m1_subset_1(u1_struct_0(sK42),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(sK42)
| ~ m2_tsp_1(sK42,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f15672,f16546]) ).
fof(f18930,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK42),X0)
| v3_struct_0(sK42)
| ~ m2_tsp_1(sK42,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f18929,f13501]) ).
fof(f18931,plain,
! [X0] :
( v1_tsp_1(u1_struct_0(sK42),X0)
| ~ m2_tsp_1(sK42,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f18930,f8363]) ).
fof(f18932,plain,
! [X0] :
( v1_tsp_1(k2_pre_topc(sK42),X0)
| ~ m2_tsp_1(sK42,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f18931,f16517]) ).
fof(f18933,plain,
! [X0] :
( ~ m2_tsp_1(sK42,sK41)
| v3_struct_0(sK41)
| ~ l1_pre_topc(sK41)
| ~ m1_subset_1(k2_pre_topc(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(resolution,[],[f18932,f18467]) ).
fof(f18934,plain,
! [X0] :
( v3_struct_0(sK41)
| ~ l1_pre_topc(sK41)
| ~ m1_subset_1(k2_pre_topc(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18933,f8361]) ).
fof(f18935,plain,
! [X0] :
( ~ l1_pre_topc(sK41)
| ~ m1_subset_1(k2_pre_topc(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18934,f8360]) ).
fof(f18936,plain,
! [X0] :
( ~ m1_subset_1(k2_pre_topc(sK42),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK41))))
| ~ r2_hidden(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18935,f8358]) ).
fof(f18937,plain,
! [X0] :
( ~ r2_hidden(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18936,f16809]) ).
fof(f18939,plain,
! [X0] :
( k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK42))
| v1_xboole_0(k2_pre_topc(sK42)) ),
inference(resolution,[],[f18937,f8884]) ).
fof(f18941,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK42))
| k1_struct_0(sK41,X0) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,X0)) ),
inference(forward_subsumption_resolution,[],[f18939,f16715]) ).
fof(f18948,plain,
( k1_struct_0(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))))
| ~ spl697_40 ),
inference(resolution,[],[f18941,f16733]) ).
fof(f19294,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK43,X0,X2)
| ~ r1_tarski(X2,X1)
| k1_xboole_0 = X2
| v1_funct_2(sK43,X0,X1)
| ~ m2_relset_1(sK43,X0,X2) ),
inference(resolution,[],[f9798,f8367]) ).
fof(f19304,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK42),X0)
| k1_xboole_0 = u1_struct_0(sK42)
| v1_funct_2(sK43,u1_struct_0(sK41),X0)
| ~ m2_relset_1(sK43,u1_struct_0(sK41),u1_struct_0(sK42)) ),
inference(resolution,[],[f19294,f8366]) ).
fof(f19309,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK42),X0)
| k1_xboole_0 = u1_struct_0(sK42)
| v1_funct_2(sK43,u1_struct_0(sK41),X0) ),
inference(forward_subsumption_resolution,[],[f19304,f8364]) ).
fof(f19311,definition,
( spl697_200
<=> k1_xboole_0 = k2_pre_topc(sK42) ),
introduced(definition,[new_symbols(definition,[spl697_200])],[avatar_definition]) ).
fof(f19312,plain,
( k1_xboole_0 = k2_pre_topc(sK42)
| ~ spl697_200 ),
inference(avatar_component_clause,[],[f19311]) ).
fof(f19314,definition,
( spl697_201
<=> ! [X0] :
( ~ r1_tarski(k2_pre_topc(sK42),X0)
| v1_funct_2(sK43,k2_pre_topc(sK41),X0) ) ),
introduced(definition,[new_symbols(definition,[spl697_201])],[avatar_definition]) ).
fof(f19315,plain,
( ! [X0] :
( ~ r1_tarski(k2_pre_topc(sK42),X0)
| v1_funct_2(sK43,k2_pre_topc(sK41),X0) )
| ~ spl697_201 ),
inference(avatar_component_clause,[],[f19314]) ).
fof(f19318,plain,
! [X0] :
( ~ r1_tarski(k2_pre_topc(sK42),X0)
| k1_xboole_0 = u1_struct_0(sK42)
| v1_funct_2(sK43,u1_struct_0(sK41),X0) ),
inference(forward_demodulation,[],[f19309,f16517]) ).
fof(f19320,plain,
! [X0] :
( k1_xboole_0 = k2_pre_topc(sK42)
| ~ r1_tarski(k2_pre_topc(sK42),X0)
| v1_funct_2(sK43,u1_struct_0(sK41),X0) ),
inference(forward_demodulation,[],[f19318,f16517]) ).
fof(f19322,plain,
! [X0] :
( v1_funct_2(sK43,k2_pre_topc(sK41),X0)
| k1_xboole_0 = k2_pre_topc(sK42)
| ~ r1_tarski(k2_pre_topc(sK42),X0) ),
inference(forward_demodulation,[],[f19320,f16465]) ).
fof(f19323,plain,
( spl697_200
| spl697_201 ),
inference(avatar_split_clause,[],[f19322,f19314,f19311]) ).
fof(f19335,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl697_200 ),
inference(superposition,[],[f16715,f19312]) ).
fof(f19495,plain,
( $false
| ~ spl697_200 ),
inference(forward_subsumption_resolution,[],[f19335,f10580]) ).
fof(f19496,plain,
~ spl697_200,
inference(avatar_contradiction_clause,[],[f19495]) ).
fof(f19503,plain,
( v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ spl697_201 ),
inference(resolution,[],[f19315,f16570]) ).
fof(f19507,plain,
( ! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK41),sK43,X0)
| v1_xboole_0(k2_pre_topc(sK41))
| ~ m1_subset_1(X0,k2_pre_topc(sK41))
| ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41)) )
| ~ spl697_201 ),
inference(resolution,[],[f19503,f16690]) ).
fof(f19531,definition,
( spl697_202
<=> m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41)) ),
introduced(definition,[new_symbols(definition,[spl697_202])],[avatar_definition]) ).
fof(f19532,plain,
( ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| spl697_202 ),
inference(avatar_component_clause,[],[f19531]) ).
fof(f19537,plain,
( ! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK41),sK43,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK41))
| ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41)) )
| ~ spl697_201 ),
inference(forward_subsumption_resolution,[],[f19507,f16720]) ).
fof(f19566,definition,
( spl697_211
<=> m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41)) ),
introduced(definition,[new_symbols(definition,[spl697_211])],[avatar_definition]) ).
fof(f19567,plain,
( ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| spl697_211 ),
inference(avatar_component_clause,[],[f19566]) ).
fof(f19594,definition,
( spl697_218
<=> ! [X0] :
( k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK41),sK43,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK41)) ) ),
introduced(definition,[new_symbols(definition,[spl697_218])],[avatar_definition]) ).
fof(f19595,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK41))
| k1_funct_1(sK43,X0) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK41),sK43,X0) )
| ~ spl697_218 ),
inference(avatar_component_clause,[],[f19594]) ).
fof(f19596,plain,
( ~ spl697_202
| spl697_218
| ~ spl697_201 ),
inference(avatar_split_clause,[],[f19537,f19314,f19594,f19531]) ).
fof(f19601,plain,
( ~ m2_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| spl697_211 ),
inference(resolution,[],[f19567,f9416]) ).
fof(f19971,plain,
( $false
| spl697_202 ),
inference(unit_resulting_resolution,[],[f8380,f16575,f19532,f16570]) ).
fof(f19982,plain,
spl697_202,
inference(avatar_contradiction_clause,[],[f19971]) ).
fof(f20313,plain,
( ~ spl697_202
| spl697_211 ),
inference(avatar_split_clause,[],[f19601,f19566,f19531]) ).
fof(f20667,plain,
( k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k8_funct_2(k2_pre_topc(sK41),k2_pre_topc(sK41),sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))
| ~ spl697_218 ),
inference(resolution,[],[f19595,f16639]) ).
fof(f20682,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| v1_xboole_0(k2_pre_topc(sK41))
| ~ v1_funct_1(sK43)
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_218 ),
inference(superposition,[],[f9348,f20667]) ).
fof(f20689,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ v1_funct_1(sK43)
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_218 ),
inference(forward_subsumption_resolution,[],[f20682,f16720]) ).
fof(f20690,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ v1_funct_2(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_218 ),
inference(forward_subsumption_resolution,[],[f20689,f8367]) ).
fof(f20691,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ m1_subset_1(sK40(sK41,sK42,sK43,k2_pre_topc(sK42)),k2_pre_topc(sK41))
| ~ spl697_201
| ~ spl697_218 ),
inference(forward_subsumption_resolution,[],[f20690,f19503]) ).
fof(f20692,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ m1_relset_1(sK43,k2_pre_topc(sK41),k2_pre_topc(sK41))
| ~ spl697_201
| ~ spl697_218 ),
inference(forward_subsumption_resolution,[],[f20691,f16639]) ).
fof(f20693,plain,
( m1_subset_1(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))),k2_pre_topc(sK41))
| ~ spl697_132 ),
inference(avatar_component_clause,[],[f18701]) ).
fof(f20694,plain,
( ~ spl697_211
| spl697_132
| ~ spl697_201
| ~ spl697_218 ),
inference(avatar_split_clause,[],[f20692,f19594,f19314,f18701,f19566]) ).
fof(f20695,plain,
( k2_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k4_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_132 ),
inference(resolution,[],[f20693,f16466]) ).
fof(f20697,plain,
( k1_tarski(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k1_struct_0(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_132 ),
inference(resolution,[],[f20693,f16878]) ).
fof(f20702,plain,
( k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))) = k4_tex_4(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_131
| ~ spl697_132 ),
inference(forward_demodulation,[],[f20695,f18699]) ).
fof(f21036,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k1_struct_0(sK41,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(superposition,[],[f18948,f20702]) ).
fof(f21048,plain,
( k5_subset_1(k2_pre_topc(sK41),k2_pre_topc(sK42),k4_tex_4(sK41,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) = k1_tarski(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(forward_demodulation,[],[f21036,f20697]) ).
fof(f21561,plain,
( k1_struct_0(sK42,k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42)))) != k1_tarski(k1_funct_1(sK43,sK40(sK41,sK42,sK43,k2_pre_topc(sK42))))
| ~ spl697_38
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(superposition,[],[f16800,f21048]) ).
fof(f21562,plain,
( $false
| ~ spl697_38
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(forward_subsumption_resolution,[],[f21561,f16888]) ).
fof(f21563,plain,
( ~ spl697_38
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(avatar_contradiction_clause,[],[f21562]) ).
cnf(s33,plain,
( spl697_37
| spl697_38 ),
inference(sat_conversion,[],[f16710]) ).
cnf(s34,plain,
~ spl697_37,
inference(sat_conversion,[],[f16718]) ).
cnf(s35,plain,
( ~ spl697_38
| ~ spl697_39
| spl697_40 ),
inference(sat_conversion,[],[f16734]) ).
cnf(s37,plain,
spl697_39,
inference(sat_conversion,[],[f16739]) ).
cnf(s116,plain,
( ~ spl697_38
| spl697_131
| ~ spl697_132 ),
inference(sat_conversion,[],[f18719]) ).
cnf(s182,plain,
( spl697_200
| spl697_201 ),
inference(sat_conversion,[],[f19323]) ).
cnf(s183,plain,
~ spl697_200,
inference(sat_conversion,[],[f19496]) ).
cnf(s197,plain,
( ~ spl697_201
| ~ spl697_202
| spl697_218 ),
inference(sat_conversion,[],[f19596]) ).
cnf(s263,plain,
spl697_202,
inference(sat_conversion,[],[f19982]) ).
cnf(s274,plain,
( ~ spl697_202
| spl697_211 ),
inference(sat_conversion,[],[f20313]) ).
cnf(s300,plain,
( spl697_132
| ~ spl697_201
| ~ spl697_211
| ~ spl697_218 ),
inference(sat_conversion,[],[f20694]) ).
cnf(s336,plain,
( ~ spl697_38
| ~ spl697_40
| ~ spl697_131
| ~ spl697_132 ),
inference(sat_conversion,[],[f21563]) ).
cnf(s337,plain,
spl697_211,
inference(rat,[],[s274,s263]) ).
cnf(s339,plain,
( ~ spl697_201
| spl697_218 ),
inference(rat,[],[s197,s263]) ).
cnf(s352,plain,
spl697_201,
inference(rat,[],[s182,s183]) ).
cnf(s354,plain,
spl697_218,
inference(rat,[],[s339,s352]) ).
cnf(s365,plain,
spl697_132,
inference(rat,[],[s300,s352,s337,s354]) ).
cnf(s380,plain,
( ~ spl697_38
| spl697_131 ),
inference(rat,[],[s116,s365]) ).
cnf(s407,plain,
( ~ spl697_38
| spl697_40 ),
inference(rat,[],[s35,s37]) ).
cnf(s408,plain,
spl697_38,
inference(rat,[],[s33,s34]) ).
cnf(s412,plain,
spl697_131,
inference(rat,[],[s380,s408]) ).
cnf(s414,plain,
spl697_40,
inference(rat,[],[s407,s408]) ).
cnf(s415,plain,
$false,
inference(rat,[],[s336,s365,s408,s412,s414]) ).
fof(f21564,plain,
$false,
inference(avatar_sat_refutation,[],[s415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP033+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 18:54:56 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 27.37/4.72 % (58123)Detected formulas, will run a generic FOF schedule.
% 27.37/4.72 % (58376)dis-21_1_sil=8000:lcm=predicate:random_seed=505707737: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)
% 27.37/4.72 % (58354)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=3957742493:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 27.37/4.72 % (58369)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=3064613758:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 27.37/4.72 % (58364)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=4101447169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 27.37/4.72 % (58372)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4192008782:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 27.37/4.72 % (58375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1414109343:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 27.37/4.72 % (58374)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1557788006:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 27.37/4.72 % (58376)Instruction limit reached!
% 27.37/4.72 % (58376)------------------------------
% 27.37/4.72 % (58376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.37/4.72 % (58376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.37/4.72 % (58376)CaDiCaL version: 2.1.3
% 27.37/4.72 % (58376)Termination reason: Instruction limit
% 27.37/4.72 % (58376)Termination phase: Preprocessing 3
% 27.37/4.72 % (58376)Time elapsed: 0.089 s
% 27.37/4.72 % (58376)Peak memory usage: 95 MB
% 27.37/4.72 % (58376)Instructions burned: 131 (million)
% 27.37/4.72 % (58372)Instruction limit reached!
% 27.37/4.72 % (58372)------------------------------
% 27.37/4.72 % (58372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.37/4.72 % (58372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.37/4.72 % (58372)CaDiCaL version: 2.1.3
% 27.37/4.72 % (58372)Termination reason: Instruction limit
% 27.37/4.72 % (58372)Termination phase: Saturation
% 27.37/4.72 % (58372)Time elapsed: 0.124 s
% 27.37/4.72 % (58372)Peak memory usage: 94 MB
% 27.37/4.72 % (58372)Instructions burned: 109 (million)
% 27.37/4.72 % (58374)Instruction limit reached!
% 27.37/4.72 % (58374)------------------------------
% 27.37/4.72 % (58374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.37/4.72 % (58374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.37/4.72 % (58374)CaDiCaL version: 2.1.3
% 27.37/4.72 % (58374)Termination reason: Instruction limit
% 27.37/4.72 % (58374)Termination phase: Property scanning
% 27.37/4.72 % (58374)Time elapsed: 0.127 s
% 27.37/4.72 % (58374)Peak memory usage: 93 MB
% 27.37/4.72 % (58374)Instructions burned: 119 (million)
% 27.37/4.72 % (58375)Instruction limit reached!
% 27.37/4.72 % (58375)------------------------------
% 27.37/4.72 % (58375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.37/4.72 % (58375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.37/4.72 % (58375)CaDiCaL version: 2.1.3
% 27.37/4.72 % (58375)Termination reason: Instruction limit
% 27.37/4.72 % (58375)Termination phase: Preprocessing 3
% 27.37/4.72 % (58375)Time elapsed: 0.156 s
% 27.37/4.72 % (58375)Peak memory usage: 94 MB
% 27.37/4.72 % (58375)Instructions burned: 139 (million)
% 27.37/4.72 % (58384)lrs+10_1_sil=8000:sp=occurrence:random_seed=3419068259:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 27.37/4.72 % (58386)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3324188818:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 27.37/4.72 % (58385)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1076191976:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 27.37/4.72 % (58387)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=3059955420:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 27.37/4.72 % (58385)Instruction limit reached!
% 27.37/4.72 % (58385)------------------------------
% 27.37/4.72 % (58385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58385)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58385)Termination reason: Instruction limit
% 33.01/6.27 % (58385)Termination phase: Saturation
% 33.01/6.27 % (58385)Time elapsed: 0.153 s
% 33.01/6.27 % (58385)Peak memory usage: 93 MB
% 33.01/6.27 % (58385)Instructions burned: 158 (million)
% 33.01/6.27 % (58384)Instruction limit reached!
% 33.01/6.27 % (58384)------------------------------
% 33.01/6.27 % (58384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58384)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58384)Termination reason: Instruction limit
% 33.01/6.27 % (58384)Termination phase: Saturation
% 33.01/6.27 % (58384)Time elapsed: 0.299 s
% 33.01/6.27 % (58384)Peak memory usage: 97 MB
% 33.01/6.27 % (58384)Instructions burned: 285 (million)
% 33.01/6.27 % (58387)Instruction limit reached!
% 33.01/6.27 % (58387)------------------------------
% 33.01/6.27 % (58387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58387)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58387)Termination reason: Instruction limit
% 33.01/6.27 % (58387)Termination phase: Property scanning
% 33.01/6.27 % (58387)Time elapsed: 0.249 s
% 33.01/6.27 % (58387)Peak memory usage: 98 MB
% 33.01/6.27 % (58387)Instructions burned: 249 (million)
% 33.01/6.27 % (58386)Instruction limit reached!
% 33.01/6.27 % (58386)------------------------------
% 33.01/6.27 % (58386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58386)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58386)Termination reason: Instruction limit
% 33.01/6.27 % (58386)Termination phase: Saturation
% 33.01/6.27 % (58386)Time elapsed: 0.343 s
% 33.01/6.27 % (58386)Peak memory usage: 96 MB
% 33.01/6.27 % (58386)Instructions burned: 325 (million)
% 33.01/6.27 % (58392)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2653695224:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 33.01/6.27 % (58393)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=740085461:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 33.01/6.27 % (58394)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3780317950:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 33.01/6.27 % (58395)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2438875747:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 33.01/6.27 % (58394)Instruction limit reached!
% 33.01/6.27 % (58394)------------------------------
% 33.01/6.27 % (58394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58394)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58394)Termination reason: Instruction limit
% 33.01/6.27 % (58394)Termination phase: Property scanning
% 33.01/6.27 % (58394)Time elapsed: 0.121 s
% 33.01/6.27 % (58394)Peak memory usage: 93 MB
% 33.01/6.27 % (58394)Instructions burned: 113 (million)
% 33.01/6.27 % (58392)Instruction limit reached!
% 33.01/6.27 % (58392)------------------------------
% 33.01/6.27 % (58392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58392)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58392)Termination reason: Instruction limit
% 33.01/6.27 % (58392)Termination phase: Saturation
% 33.01/6.27 % (58392)Time elapsed: 0.288 s
% 33.01/6.27 % (58392)Peak memory usage: 98 MB
% 33.01/6.27 % (58392)Instructions burned: 295 (million)
% 33.01/6.27 % (58395)Instruction limit reached!
% 33.01/6.27 % (58395)------------------------------
% 33.01/6.27 % (58395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58395)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58395)Termination reason: Instruction limit
% 33.01/6.27 % (58395)Termination phase: Preprocessing 3
% 33.01/6.27 % (58395)Time elapsed: 0.139 s
% 33.01/6.27 % (58395)Peak memory usage: 96 MB
% 33.01/6.27 % (58395)Instructions burned: 127 (million)
% 33.01/6.27 % (58401)lrs+10_1_sil=8000:sp=occurrence:random_seed=3722521447:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 33.01/6.27 % (58400)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=367185595:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 33.01/6.27 % (58402)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2752479457:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 33.01/6.27 % (58400)Instruction limit reached!
% 33.01/6.27 % (58400)------------------------------
% 33.01/6.27 % (58400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58400)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58400)Termination reason: Instruction limit
% 33.01/6.27 % (58400)Termination phase: Preprocessing 3
% 33.01/6.27 % (58400)Time elapsed: 0.111 s
% 33.01/6.27 % (58400)Peak memory usage: 91 MB
% 33.01/6.27 % (58400)Instructions burned: 115 (million)
% 33.01/6.27 % (58406)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3257136039:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 33.01/6.27 % (58402)Instruction limit reached!
% 33.01/6.27 % (58402)------------------------------
% 33.01/6.27 % (58402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58402)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58402)Termination reason: Instruction limit
% 33.01/6.27 % (58402)Termination phase: Saturation
% 33.01/6.27 % (58402)Time elapsed: 0.422 s
% 33.01/6.27 % (58402)Peak memory usage: 97 MB
% 33.01/6.27 % (58402)Instructions burned: 437 (million)
% 33.01/6.27 % (58408)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1817889997:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 33.01/6.27 % (58401)Instruction limit reached!
% 33.01/6.27 % (58401)------------------------------
% 33.01/6.27 % (58401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58401)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58401)Termination reason: Instruction limit
% 33.01/6.27 % (58401)Termination phase: Saturation
% 33.01/6.27 % (58401)Time elapsed: 0.916 s
% 33.01/6.27 % (58401)Peak memory usage: 108 MB
% 33.01/6.27 % (58401)Instructions burned: 907 (million)
% 33.01/6.27 % (58408)Instruction limit reached!
% 33.01/6.27 % (58408)------------------------------
% 33.01/6.27 % (58408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58408)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58408)Termination reason: Instruction limit
% 33.01/6.27 % (58408)Termination phase: Saturation
% 33.01/6.27 % (58408)Time elapsed: 0.137 s
% 33.01/6.27 % (58408)Peak memory usage: 95 MB
% 33.01/6.27 % (58408)Instructions burned: 134 (million)
% 33.01/6.27 % (58410)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=355573922:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 33.01/6.27 % (58411)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2381409058:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 33.01/6.27 % (58410)Instruction limit reached!
% 33.01/6.27 % (58410)------------------------------
% 33.01/6.27 % (58410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58410)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58410)Termination reason: Instruction limit
% 33.01/6.27 % (58410)Termination phase: Saturation
% 33.01/6.27 % (58410)Time elapsed: 0.543 s
% 33.01/6.27 % (58410)Peak memory usage: 106 MB
% 33.01/6.27 % (58410)Instructions burned: 592 (million)
% 33.01/6.27 % (58393)Instruction limit reached!
% 33.01/6.27 % (58393)------------------------------
% 33.01/6.27 % (58393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58393)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58393)Termination reason: Instruction limit
% 33.01/6.27 % (58393)Termination phase: Saturation
% 33.01/6.27 % (58393)Time elapsed: 2.494 s
% 33.01/6.27 % (58393)Peak memory usage: 227 MB
% 33.01/6.27 % (58393)Instructions burned: 2351 (million)
% 33.01/6.27 % (58414)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=1946476735:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/125Mi)
% 33.01/6.27 % (58414)Instruction limit reached!
% 33.01/6.27 % (58414)------------------------------
% 33.01/6.27 % (58414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58414)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58414)Termination reason: Instruction limit
% 33.01/6.27 % (58414)Termination phase: Clausification
% 33.01/6.27 % (58414)Time elapsed: 0.134 s
% 33.01/6.27 % (58414)Peak memory usage: 93 MB
% 33.01/6.27 % (58414)Instructions burned: 125 (million)
% 33.01/6.27 % (58415)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1901899760:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 33.01/6.27 % (58415)Instruction limit reached!
% 33.01/6.27 % (58415)------------------------------
% 33.01/6.27 % (58415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58415)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58415)Termination reason: Instruction limit
% 33.01/6.27 % (58415)Termination phase: Unused predicate definition removal
% 33.01/6.27 % (58415)Time elapsed: 0.127 s
% 33.01/6.27 % (58415)Peak memory usage: 90 MB
% 33.01/6.27 % (58415)Instructions burned: 135 (million)
% 33.01/6.27 % (58417)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=883608693:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 33.01/6.27 % (58417)Instruction limit reached!
% 33.01/6.27 % (58417)------------------------------
% 33.01/6.27 % (58417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58417)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58417)Termination reason: Instruction limit
% 33.01/6.27 % (58417)Termination phase: Saturation
% 33.01/6.27 % (58417)Time elapsed: 0.142 s
% 33.01/6.27 % (58417)Peak memory usage: 95 MB
% 33.01/6.27 % (58417)Instructions burned: 143 (million)
% 33.01/6.27 % (58419)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=961641140:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 33.01/6.27 % (58422)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=2109975959:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 33.01/6.27 % (58364)First to succeed.
% 33.01/6.27 % (58364)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-58123"
% 33.01/6.27 % (58419)Instruction limit reached!
% 33.01/6.27 % (58419)------------------------------
% 33.01/6.27 % (58419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58419)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58419)Termination reason: Instruction limit
% 33.01/6.27 % (58419)Termination phase: Saturation
% 33.01/6.27 % (58419)Time elapsed: 0.410 s
% 33.01/6.27 % (58419)Peak memory usage: 99 MB
% 33.01/6.27 % (58419)Instructions burned: 432 (million)
% 33.01/6.27 % (58424)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3394614631:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2949 on theBenchmark for (2949ds/150Mi)
% 33.01/6.27 % (58424)Instruction limit reached!
% 33.01/6.27 % (58424)------------------------------
% 33.01/6.27 % (58424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.01/6.27 % (58424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.01/6.27 % (58424)CaDiCaL version: 2.1.3
% 33.01/6.27 % (58424)Termination reason: Instruction limit
% 33.01/6.27 % (58424)Termination phase: Clausification
% 33.01/6.27 % (58424)Time elapsed: 0.165 s
% 33.01/6.27 % (58424)Peak memory usage: 96 MB
% 33.01/6.27 % (58424)Instructions burned: 150 (million)
% 33.01/6.27 % (58364)Refutation found. Thanks to Tanya!
% 33.01/6.27 % SZS status Theorem for theBenchmark
% 33.01/6.27 % SZS output start Proof for theBenchmark
% See solution above
% 38.94/6.64 % (58364)------------------------------
% 38.94/6.64 % (58364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.94/6.64 % (58364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.94/6.64 % (58364)CaDiCaL version: 2.1.3
% 38.94/6.64 % (58364)Termination reason: Refutation
% 38.94/6.64 % (58364)Time elapsed: 4.511 s
% 38.94/6.64 % (58364)Peak memory usage: 191 MB
% 38.94/6.64 % (58364)Instructions burned: 4251 (million)
% 38.94/6.64 % (58364)------------------------------
% 38.94/6.64 % (58364)------------------------------
% 38.94/6.64 % (58123)Success in time 5.583 s
% 38.94/6.64 % Vampire exiting
%------------------------------------------------------------------------------