%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP036+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 : n016.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 02:33:59 PM UTC 2026
% Result : Theorem 76.84s 19.85s
% Output : Refutation 135.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 102
% Syntax : Number of formulae : 606 ( 100 unt; 63 def)
% Number of atoms : 2552 ( 260 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 3439 (1493 ~;1668 |; 149 &)
% ( 76 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 58 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 9 con; 0-4 aty)
% Number of variables : 571 ( 1 sgn 556 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f30,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f219,axiom,
! [X0] : k3_tarski(k1_tarski(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_zfmisc_1) ).
fof(f281,axiom,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(f444,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f446,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f634,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f824,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f1026,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1085,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_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(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(f2142,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_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(f2190,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f2191,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r2_hidden(X1,k2_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_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(f2251,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f2252,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f2254,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(f2457,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_2) ).
fof(f2676,axiom,
! [X0,X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r1_tarski(X0,k10_relat_1(X2,X1))
=> r1_tarski(k9_relat_1(X2,X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_borsuk_1) ).
fof(f3401,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_tex_4) ).
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(f3411,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_tex_4(X0,X1) = k3_tex_4(X0,k1_struct_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tex_4) ).
fof(f3475,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_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(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(f3567,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f3573,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tsp_2) ).
fof(f3574,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_tsp_2) ).
fof(f3628,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] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = X2
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),X3) = k3_tex_4(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_tsp_2) ).
fof(f3630,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)) )
=> ( X2 = k3_tsp_2(X0,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)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_tsp_2) ).
fof(f3632,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] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_tsp_2) ).
fof(f3633,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] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f3632]) ).
fof(f3641,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f3686,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2))
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ 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,[],[f3633]) ).
fof(f3687,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2))
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ 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,[],[f3686]) ).
fof(f3702,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f3704,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f3744,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(f3745,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,[],[f3744]) ).
fof(f3764,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f2252]) ).
fof(f3765,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f3764]) ).
fof(f3766,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f2251]) ).
fof(f3767,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f3766]) ).
fof(f3786,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(f3787,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,[],[f3786]) ).
fof(f3788,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f3475]) ).
fof(f3789,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3788]) ).
fof(f3792,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_tsp_2(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,[],[f3630]) ).
fof(f3793,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_tsp_2(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,[],[f3792]) ).
fof(f3794,plain,
! [X0,X1] :
( k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f3574]) ).
fof(f3795,plain,
! [X0,X1] :
( k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f3794]) ).
fof(f3796,plain,
! [X0,X1] :
( ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f3573]) ).
fof(f3797,plain,
! [X0,X1] :
( ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f3796]) ).
fof(f4148,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f444]) ).
fof(f4158,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f4363,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2457]) ).
fof(f4364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f4363]) ).
fof(f4372,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4377,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k2_pre_topc(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2191]) ).
fof(f4378,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k2_pre_topc(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f4377]) ).
fof(f4379,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2190]) ).
fof(f4383,plain,
! [X0] :
( ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2142]) ).
fof(f4390,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(f4391,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,[],[f4390]) ).
fof(f4493,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f2254]) ).
fof(f4494,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f4493]) ).
fof(f4678,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),X1)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f2676]) ).
fof(f4679,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),X1)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f4678]) ).
fof(f4714,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f824]) ).
fof(f4715,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f4714]) ).
fof(f4725,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f634]) ).
fof(f4726,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f4725]) ).
fof(f4852,plain,
! [X0] :
( ! [X1] :
( k2_tex_4(X0,X1) = k3_tex_4(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3411]) ).
fof(f4853,plain,
! [X0] :
( ! [X1] :
( k2_tex_4(X0,X1) = k3_tex_4(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f4852]) ).
fof(f4858,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(f4859,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,[],[f4858]) ).
fof(f4862,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3401]) ).
fof(f4863,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f4862]) ).
fof(f4876,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),X3) = k3_tex_4(X0,X2)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| 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,[],[f3628]) ).
fof(f4877,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),X3) = k3_tex_4(X0,X2)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| 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,[],[f4876]) ).
fof(f4902,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f4965,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1085]) ).
fof(f4966,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1026]) ).
fof(f6176,plain,
( k4_pre_topc(sK67,sK68,k3_tsp_2(sK67,sK68),k1_struct_0(sK67,sK69)) != k4_pre_topc(sK67,sK68,k3_tsp_2(sK67,sK68),k4_tex_4(sK67,sK69))
& m1_subset_1(sK69,u1_struct_0(sK67))
& ~ v3_struct_0(sK68)
& v2_tsp_2(sK68,sK67)
& m2_tsp_1(sK68,sK67)
& ~ v3_struct_0(sK67)
& v2_pre_topc(sK67)
& l1_pre_topc(sK67) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68,sK69]),skolemize(X0,sK67),skolemize(X1,sK68),skolemize(X2,sK69)],[f3687]) ).
fof(f6196,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3702]) ).
fof(f6246,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(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)) ) )
& ( ! [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)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| 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(nnf_transformation,[],[f3793]) ).
fof(f6247,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(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)) ) )
& ( ! [X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| 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(rectify,[],[f6246]) ).
fof(f6248,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(X0,X1)
| ( ~ r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK103(X0,X1,X2)),k4_tex_4(X0,sK103(X0,X1,X2)))
& m1_subset_1(sK103(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| 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,[sK103]),skolemize(X3,sK103(X0,X1,X2))],[f6247]) ).
fof(f6406,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f4158]) ).
fof(f6407,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f6406]) ).
fof(f6408,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK191(X0,X1),X1)
& r2_hidden(sK191(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(X2,sK191(X0,X1))],[f6407]) ).
fof(f6411,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f446]) ).
fof(f6412,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f6413,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f6412]) ).
fof(f6460,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6461,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f6460]) ).
fof(f6462,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK213(X0,X1) != X0
| ~ r2_hidden(sK213(X0,X1),X1) )
& ( sK213(X0,X1) = X0
| r2_hidden(sK213(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213]),skolemize(X2,sK213(X0,X1))],[f6461]) ).
fof(f6466,plain,
! [X0] :
( ( ( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
& ( v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(X0) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f4383]) ).
fof(f6575,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(f6629,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,[],[f4859]) ).
fof(f6641,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f6642,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f6641]) ).
fof(f6643,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f6642]) ).
fof(f6644,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK321(X0,X1,X2),X0)
& ~ r2_hidden(sK321(X0,X1,X2),X1) )
| ~ r2_hidden(sK321(X0,X1,X2),X2) )
& ( r2_hidden(sK321(X0,X1,X2),X0)
| r2_hidden(sK321(X0,X1,X2),X1)
| r2_hidden(sK321(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK321]),skolemize(X3,sK321(X0,X1,X2))],[f6643]) ).
fof(f7096,plain,
l1_pre_topc(sK67),
inference(cnf_transformation,[],[f6176]) ).
fof(f7097,plain,
v2_pre_topc(sK67),
inference(cnf_transformation,[],[f6176]) ).
fof(f7098,plain,
~ v3_struct_0(sK67),
inference(cnf_transformation,[],[f6176]) ).
fof(f7099,plain,
m2_tsp_1(sK68,sK67),
inference(cnf_transformation,[],[f6176]) ).
fof(f7100,plain,
v2_tsp_2(sK68,sK67),
inference(cnf_transformation,[],[f6176]) ).
fof(f7101,plain,
~ v3_struct_0(sK68),
inference(cnf_transformation,[],[f6176]) ).
fof(f7102,plain,
m1_subset_1(sK69,u1_struct_0(sK67)),
inference(cnf_transformation,[],[f6176]) ).
fof(f7103,plain,
k4_pre_topc(sK67,sK68,k3_tsp_2(sK67,sK68),k1_struct_0(sK67,sK69)) != k4_pre_topc(sK67,sK68,k3_tsp_2(sK67,sK68),k4_tex_4(sK67,sK69)),
inference(cnf_transformation,[],[f6176]) ).
fof(f7134,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6196]) ).
fof(f7137,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3704]) ).
fof(f7228,plain,
! [X0,X1] :
( k1_tarski(X1) = k1_struct_0(X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3745]) ).
fof(f7256,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X2,X3) = k4_pre_topc(X0,X1,X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f3765]) ).
fof(f7257,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f3767]) ).
fof(f7290,plain,
! [X0,X1] :
( k2_tex_4(X0,X1) = k4_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(cnf_transformation,[],[f3787]) ).
fof(f7291,plain,
! [X0,X1] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3789]) ).
fof(f7294,plain,
! [X2,X0,X1,X4] :
( k3_tsp_2(X0,X1) != X2
| ~ m1_subset_1(X4,u1_struct_0(X0))
| r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| 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,[],[f6248]) ).
fof(f7297,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3795]) ).
fof(f7298,plain,
! [X0,X1] :
( m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3797]) ).
fof(f7299,plain,
! [X0,X1] :
( v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3797]) ).
fof(f7300,plain,
! [X0,X1] :
( v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3797]) ).
fof(f7301,plain,
! [X0,X1] :
( v1_funct_1(k3_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3797]) ).
fof(f7908,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4148]) ).
fof(f7926,plain,
! [X0,X1] :
( r2_hidden(sK191(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6408]) ).
fof(f7927,plain,
! [X0,X1] :
( ~ r2_hidden(sK191(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6408]) ).
fof(f7944,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6411]) ).
fof(f7945,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6411]) ).
fof(f7950,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6413]) ).
fof(f7951,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f3641]) ).
fof(f8264,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f6462]) ).
fof(f8273,plain,
! [X2,X0,X1] :
( v3_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k1_relat_1(X2) = k2_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f4364]) ).
fof(f8281,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4372]) ).
fof(f8286,plain,
! [X0,X1] :
( r2_hidden(X1,k2_pre_topc(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f4378]) ).
fof(f8287,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f4379]) ).
fof(f8292,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6466]) ).
fof(f8307,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f4391]) ).
fof(f8440,plain,
! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| k10_relat_1(X2,X3) = k5_pre_topc(X0,X1,X2,X3)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f4494]) ).
fof(f8661,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| r1_tarski(k9_relat_1(X2,X0),X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f4679]) ).
fof(f8680,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0))
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f4715]) ).
fof(f8694,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4726]) ).
fof(f8734,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6575]) ).
fof(f8903,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k2_tex_4(X0,X1) = k3_tex_4(X0,k1_struct_0(X0,X1)) ),
inference(cnf_transformation,[],[f4853]) ).
fof(f8906,plain,
! [X2,X0,X1] :
( k2_tex_4(X0,X1) = k2_tex_4(X0,X2)
| ~ 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(cnf_transformation,[],[f6629]) ).
fof(f8907,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X2,k2_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f6629]) ).
fof(f8909,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f4863]) ).
fof(f8941,plain,
! [X2,X3,X0,X1] :
( ~ v2_tsp_2(X1,X0)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X1)
| k3_tex_4(X0,X2) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),X3)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4877]) ).
fof(f8975,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4902]) ).
fof(f8986,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f8989,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f6644]) ).
fof(f9052,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4965]) ).
fof(f9053,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4966]) ).
fof(f10328,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f10331,plain,
! [X0] : k3_tarski(k1_tarski(X0)) = X0,
inference(cnf_transformation,[],[f219]) ).
fof(f10967,plain,
! [X0,X1] :
( k3_tarski(k2_tarski(X0,X1)) = X1
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f8975,f10328]) ).
fof(f10978,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k3_tarski(k2_tarski(X1,X0)),
inference(definition_unfolding,[],[f8986,f10328,f10328]) ).
fof(f10982,plain,
! [X2,X0,X1,X4] :
( k3_tarski(k2_tarski(X0,X1)) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(definition_unfolding,[],[f8989,f10328]) ).
fof(f11232,definition,
sF553 = k3_tsp_2(sK67,sK68),
introduced(definition,[new_symbols(definition,[sF553])],[function_definition]) ).
fof(f11233,plain,
k3_tsp_2(sK67,sK68) = sF553,
inference(reorient_equations,[],[f11232]) ).
fof(f11234,definition,
sF554 = k1_struct_0(sK67,sK69),
introduced(definition,[new_symbols(definition,[sF554])],[function_definition]) ).
fof(f11235,plain,
k1_struct_0(sK67,sK69) = sF554,
inference(reorient_equations,[],[f11234]) ).
fof(f11236,definition,
sF555 = k4_pre_topc(sK67,sK68,sF553,sF554),
introduced(definition,[new_symbols(definition,[sF555])],[function_definition]) ).
fof(f11237,plain,
k4_pre_topc(sK67,sK68,sF553,sF554) = sF555,
inference(reorient_equations,[],[f11236]) ).
fof(f11238,definition,
sF556 = k4_tex_4(sK67,sK69),
introduced(definition,[new_symbols(definition,[sF556])],[function_definition]) ).
fof(f11239,plain,
k4_tex_4(sK67,sK69) = sF556,
inference(reorient_equations,[],[f11238]) ).
fof(f11240,definition,
sF557 = k4_pre_topc(sK67,sK68,sF553,sF556),
introduced(definition,[new_symbols(definition,[sF557])],[function_definition]) ).
fof(f11241,plain,
k4_pre_topc(sK67,sK68,sF553,sF556) = sF557,
inference(reorient_equations,[],[f11240]) ).
fof(f11242,plain,
sF555 != sF557,
inference(definition_folding,[],[f7103,f11241,f11239,f11233,f11237,f11235,f11233]) ).
fof(f11243,definition,
sF558 = u1_struct_0(sK67),
introduced(definition,[new_symbols(definition,[sF558])],[function_definition]) ).
fof(f11244,plain,
u1_struct_0(sK67) = sF558,
inference(reorient_equations,[],[f11243]) ).
fof(f11245,plain,
m1_subset_1(sK69,sF558),
inference(definition_folding,[],[f7102,f11244]) ).
fof(f11272,plain,
( sF555 = k9_relat_1(sF553,sF554)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ v1_funct_2(sF553,u1_struct_0(sK67),u1_struct_0(sK68))
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(superposition,[],[f7256,f11237]) ).
fof(f11273,plain,
( sF557 = k9_relat_1(sF553,sF556)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ v1_funct_2(sF553,u1_struct_0(sK67),u1_struct_0(sK68))
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(superposition,[],[f7256,f11241]) ).
fof(f11278,plain,
( ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| sF557 = k9_relat_1(sF553,sF556)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(forward_demodulation,[],[f11273,f11244]) ).
fof(f11279,plain,
( ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| sF555 = k9_relat_1(sF553,sF554)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(forward_demodulation,[],[f11272,f11244]) ).
fof(f11282,plain,
( ~ m1_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| sF557 = k9_relat_1(sF553,sF556)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553) ),
inference(forward_demodulation,[],[f11278,f11244]) ).
fof(f11283,plain,
( ~ m1_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| sF555 = k9_relat_1(sF553,sF554)
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553) ),
inference(forward_demodulation,[],[f11279,f11244]) ).
fof(f11285,definition,
( spl559_5
<=> v1_funct_1(sF553) ),
introduced(definition,[new_symbols(definition,[spl559_5])],[avatar_definition]) ).
fof(f11289,definition,
( spl559_6
<=> l1_struct_0(sK68) ),
introduced(definition,[new_symbols(definition,[spl559_6])],[avatar_definition]) ).
fof(f11290,plain,
( l1_struct_0(sK68)
| ~ spl559_6 ),
inference(avatar_component_clause,[],[f11289]) ).
fof(f11291,plain,
( ~ l1_struct_0(sK68)
| spl559_6 ),
inference(avatar_component_clause,[],[f11289]) ).
fof(f11293,definition,
( spl559_7
<=> l1_struct_0(sK67) ),
introduced(definition,[new_symbols(definition,[spl559_7])],[avatar_definition]) ).
fof(f11294,plain,
( l1_struct_0(sK67)
| ~ spl559_7 ),
inference(avatar_component_clause,[],[f11293]) ).
fof(f11295,plain,
( ~ l1_struct_0(sK67)
| spl559_7 ),
inference(avatar_component_clause,[],[f11293]) ).
fof(f11297,definition,
( spl559_8
<=> sF557 = k9_relat_1(sF553,sF556) ),
introduced(definition,[new_symbols(definition,[spl559_8])],[avatar_definition]) ).
fof(f11299,plain,
( sF557 = k9_relat_1(sF553,sF556)
| ~ spl559_8 ),
inference(avatar_component_clause,[],[f11297]) ).
fof(f11301,definition,
( spl559_9
<=> v1_funct_2(sF553,sF558,u1_struct_0(sK68)) ),
introduced(definition,[new_symbols(definition,[spl559_9])],[avatar_definition]) ).
fof(f11302,plain,
( v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_9 ),
inference(avatar_component_clause,[],[f11301]) ).
fof(f11305,definition,
( spl559_10
<=> m1_relset_1(sF553,sF558,u1_struct_0(sK68)) ),
introduced(definition,[new_symbols(definition,[spl559_10])],[avatar_definition]) ).
fof(f11306,plain,
( m1_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_10 ),
inference(avatar_component_clause,[],[f11305]) ).
fof(f11307,plain,
( ~ m1_relset_1(sF553,sF558,u1_struct_0(sK68))
| spl559_10 ),
inference(avatar_component_clause,[],[f11305]) ).
fof(f11310,definition,
( spl559_11
<=> sF555 = k9_relat_1(sF553,sF554) ),
introduced(definition,[new_symbols(definition,[spl559_11])],[avatar_definition]) ).
fof(f11312,plain,
( sF555 = k9_relat_1(sF553,sF554)
| ~ spl559_11 ),
inference(avatar_component_clause,[],[f11310]) ).
fof(f11314,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| spl559_8
| ~ spl559_9
| ~ spl559_10 ),
inference(avatar_split_clause,[],[f11282,f11305,f11301,f11297,f11293,f11289,f11285]) ).
fof(f11315,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| spl559_11
| ~ spl559_9
| ~ spl559_10 ),
inference(avatar_split_clause,[],[f11283,f11305,f11301,f11310,f11293,f11289,f11285]) ).
fof(f11319,definition,
( spl559_12
<=> l1_pre_topc(sK67) ),
introduced(definition,[new_symbols(definition,[spl559_12])],[avatar_definition]) ).
fof(f11320,plain,
( l1_pre_topc(sK67)
| ~ spl559_12 ),
inference(avatar_component_clause,[],[f11319]) ).
fof(f11323,definition,
( spl559_13
<=> v2_pre_topc(sK67) ),
introduced(definition,[new_symbols(definition,[spl559_13])],[avatar_definition]) ).
fof(f11327,definition,
( spl559_14
<=> v3_struct_0(sK67) ),
introduced(definition,[new_symbols(definition,[spl559_14])],[avatar_definition]) ).
fof(f11335,definition,
( spl559_16
<=> m1_subset_1(sK69,sF558) ),
introduced(definition,[new_symbols(definition,[spl559_16])],[avatar_definition]) ).
fof(f11336,plain,
( m1_subset_1(sK69,sF558)
| ~ spl559_16 ),
inference(avatar_component_clause,[],[f11335]) ).
fof(f11358,plain,
~ spl559_14,
inference(avatar_split_clause,[],[f7098,f11327]) ).
fof(f11369,plain,
( m2_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(superposition,[],[f7298,f11233]) ).
fof(f11380,plain,
( m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(forward_demodulation,[],[f11369,f11244]) ).
fof(f11382,definition,
( spl559_24
<=> m1_pre_topc(sK68,sK67) ),
introduced(definition,[new_symbols(definition,[spl559_24])],[avatar_definition]) ).
fof(f11384,plain,
( ~ m1_pre_topc(sK68,sK67)
| spl559_24 ),
inference(avatar_component_clause,[],[f11382]) ).
fof(f11386,definition,
( spl559_25
<=> v2_tsp_2(sK68,sK67) ),
introduced(definition,[new_symbols(definition,[spl559_25])],[avatar_definition]) ).
fof(f11387,plain,
( v2_tsp_2(sK68,sK67)
| ~ spl559_25 ),
inference(avatar_component_clause,[],[f11386]) ).
fof(f11390,definition,
( spl559_26
<=> v3_struct_0(sK68) ),
introduced(definition,[new_symbols(definition,[spl559_26])],[avatar_definition]) ).
fof(f11391,plain,
( ~ v3_struct_0(sK68)
| spl559_26 ),
inference(avatar_component_clause,[],[f11390]) ).
fof(f11394,definition,
( spl559_27
<=> m2_relset_1(sF553,sF558,u1_struct_0(sK68)) ),
introduced(definition,[new_symbols(definition,[spl559_27])],[avatar_definition]) ).
fof(f11396,plain,
( m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_27 ),
inference(avatar_component_clause,[],[f11394]) ).
fof(f11397,plain,
( ~ spl559_24
| ~ spl559_25
| spl559_26
| ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_27 ),
inference(avatar_split_clause,[],[f11380,f11394,f11327,f11323,f11319,f11390,f11386,f11382]) ).
fof(f11398,plain,
( v1_funct_2(sF553,u1_struct_0(sK67),u1_struct_0(sK68))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(superposition,[],[f7300,f11233]) ).
fof(f11409,plain,
( v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(forward_demodulation,[],[f11398,f11244]) ).
fof(f11410,plain,
( ~ spl559_24
| ~ spl559_25
| spl559_26
| ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_9 ),
inference(avatar_split_clause,[],[f11409,f11301,f11327,f11323,f11319,f11390,f11386,f11382]) ).
fof(f11411,plain,
( m1_subset_1(sF556,k1_zfmisc_1(u1_struct_0(sK67)))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| ~ m1_subset_1(sK69,u1_struct_0(sK67)) ),
inference(superposition,[],[f7291,f11239]) ).
fof(f11417,plain,
( m1_subset_1(sF556,k1_zfmisc_1(sF558))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| ~ m1_subset_1(sK69,u1_struct_0(sK67)) ),
inference(forward_demodulation,[],[f11411,f11244]) ).
fof(f11418,plain,
( ~ m1_subset_1(sK69,sF558)
| m1_subset_1(sF556,k1_zfmisc_1(sF558))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11417,f11244]) ).
fof(f11420,definition,
( spl559_31
<=> m1_subset_1(sF556,k1_zfmisc_1(sF558)) ),
introduced(definition,[new_symbols(definition,[spl559_31])],[avatar_definition]) ).
fof(f11423,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_31
| ~ spl559_16 ),
inference(avatar_split_clause,[],[f11418,f11335,f11420,f11327,f11323,f11319]) ).
fof(f11424,plain,
( m1_subset_1(sF555,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ v1_funct_2(sF553,u1_struct_0(sK67),u1_struct_0(sK68))
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(superposition,[],[f7257,f11237]) ).
fof(f11434,plain,
( ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| m1_subset_1(sF555,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553)
| ~ m1_relset_1(sF553,u1_struct_0(sK67),u1_struct_0(sK68)) ),
inference(forward_demodulation,[],[f11424,f11244]) ).
fof(f11436,plain,
( ~ m1_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| m1_subset_1(sF555,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ l1_struct_0(sK67)
| ~ l1_struct_0(sK68)
| ~ v1_funct_1(sF553) ),
inference(forward_demodulation,[],[f11434,f11244]) ).
fof(f11443,definition,
( spl559_34
<=> m1_subset_1(sF555,k1_zfmisc_1(u1_struct_0(sK68))) ),
introduced(definition,[new_symbols(definition,[spl559_34])],[avatar_definition]) ).
fof(f11446,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| spl559_34
| ~ spl559_9
| ~ spl559_10 ),
inference(avatar_split_clause,[],[f11436,f11305,f11301,f11443,f11293,f11289,f11285]) ).
fof(f11461,definition,
( spl559_37
<=> m2_tsp_1(sK68,sK67) ),
introduced(definition,[new_symbols(definition,[spl559_37])],[avatar_definition]) ).
fof(f11468,plain,
( ~ l1_pre_topc(sK67)
| spl559_7 ),
inference(resolution,[],[f8281,f11295]) ).
fof(f11469,plain,
( ~ spl559_12
| spl559_7 ),
inference(avatar_split_clause,[],[f11468,f11293,f11319]) ).
fof(f11472,plain,
spl559_12,
inference(avatar_split_clause,[],[f7096,f11319]) ).
fof(f11475,plain,
spl559_13,
inference(avatar_split_clause,[],[f7097,f11323]) ).
fof(f11478,plain,
spl559_16,
inference(avatar_split_clause,[],[f11245,f11335]) ).
fof(f11494,plain,
( l1_pre_topc(sK68)
| ~ l1_pre_topc(sK67) ),
inference(resolution,[],[f7137,f7099]) ).
fof(f11496,definition,
( spl559_41
<=> l1_pre_topc(sK68) ),
introduced(definition,[new_symbols(definition,[spl559_41])],[avatar_definition]) ).
fof(f11499,plain,
( ~ spl559_12
| spl559_41 ),
inference(avatar_split_clause,[],[f11494,f11496,f11319]) ).
fof(f11502,plain,
spl559_25,
inference(avatar_split_clause,[],[f7100,f11386]) ).
fof(f11505,plain,
spl559_37,
inference(avatar_split_clause,[],[f7099,f11461]) ).
fof(f11508,plain,
~ spl559_26,
inference(avatar_split_clause,[],[f7101,f11390]) ).
fof(f11542,plain,
( v1_funct_1(sF553)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(superposition,[],[f7301,f11233]) ).
fof(f11543,plain,
( ~ spl559_24
| ~ spl559_25
| spl559_26
| ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_5 ),
inference(avatar_split_clause,[],[f11542,f11285,f11327,f11323,f11319,f11390,f11386,f11382]) ).
fof(f11544,plain,
( v5_pre_topc(sF553,sK67,sK68)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67) ),
inference(superposition,[],[f7299,f11233]) ).
fof(f11546,definition,
( spl559_48
<=> v5_pre_topc(sF553,sK67,sK68) ),
introduced(definition,[new_symbols(definition,[spl559_48])],[avatar_definition]) ).
fof(f11549,plain,
( ~ spl559_24
| ~ spl559_25
| spl559_26
| ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_48 ),
inference(avatar_split_clause,[],[f11544,f11546,f11327,f11323,f11319,f11390,f11386,f11382]) ).
fof(f11550,plain,
( sF554 = k1_tarski(sK69)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67)
| ~ m1_subset_1(sK69,u1_struct_0(sK67)) ),
inference(superposition,[],[f7228,f11235]) ).
fof(f11570,plain,
( ~ m1_subset_1(sK69,sF558)
| sF554 = k1_tarski(sK69)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67) ),
inference(forward_demodulation,[],[f11550,f11244]) ).
fof(f11576,definition,
( spl559_51
<=> sF554 = k1_tarski(sK69) ),
introduced(definition,[new_symbols(definition,[spl559_51])],[avatar_definition]) ).
fof(f11578,plain,
( sF554 = k1_tarski(sK69)
| ~ spl559_51 ),
inference(avatar_component_clause,[],[f11576]) ).
fof(f11580,plain,
( ~ spl559_7
| spl559_14
| spl559_51
| ~ spl559_16 ),
inference(avatar_split_clause,[],[f11570,f11335,f11576,f11327,f11293]) ).
fof(f11581,plain,
( ~ l1_pre_topc(sK68)
| spl559_6 ),
inference(resolution,[],[f11291,f8281]) ).
fof(f11582,plain,
( ~ spl559_41
| spl559_6 ),
inference(avatar_split_clause,[],[f11581,f11289,f11496]) ).
fof(f11669,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X0),k4_tex_4(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v1_funct_1(k3_tsp_2(X1,X2))
| ~ v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(k3_tsp_2(X1,X2),X1,X2)
| ~ m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(equality_resolution,[],[f7294]) ).
fof(f11681,plain,
! [X0] :
( r2_hidden(k8_funct_2(u1_struct_0(sK67),u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ v1_funct_2(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ m2_relset_1(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK67)
| ~ m2_tsp_1(X0,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(superposition,[],[f11669,f11239]) ).
fof(f11682,plain,
! [X0] :
( r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ v1_funct_2(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ m2_relset_1(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK67)
| ~ m2_tsp_1(X0,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11681,f11244]) ).
fof(f11691,plain,
! [X0] :
( ~ m1_subset_1(sK69,sF558)
| r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ v1_funct_2(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ m2_relset_1(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK67)
| ~ m2_tsp_1(X0,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11682,f11244]) ).
fof(f11692,plain,
! [X0] :
( ~ v1_funct_2(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0))
| ~ m1_subset_1(sK69,sF558)
| r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ m2_relset_1(k3_tsp_2(sK67,X0),u1_struct_0(sK67),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK67)
| ~ m2_tsp_1(X0,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11691,f11244]) ).
fof(f11693,plain,
! [X0] :
( ~ m2_relset_1(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0))
| ~ v1_funct_2(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0))
| ~ m1_subset_1(sK69,sF558)
| r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK67)
| ~ m2_tsp_1(X0,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11692,f11244]) ).
fof(f11695,definition,
( spl559_62
<=> ! [X0] :
( ~ m2_relset_1(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK67)
| ~ v2_tsp_2(X0,sK67)
| v3_struct_0(X0)
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ v1_funct_2(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl559_62])],[avatar_definition]) ).
fof(f11696,plain,
( ! [X0] :
( r2_hidden(k8_funct_2(sF558,u1_struct_0(X0),k3_tsp_2(sK67,X0),sK69),sF556)
| ~ m2_tsp_1(X0,sK67)
| ~ v2_tsp_2(X0,sK67)
| v3_struct_0(X0)
| ~ v5_pre_topc(k3_tsp_2(sK67,X0),sK67,X0)
| ~ v1_funct_1(k3_tsp_2(sK67,X0))
| ~ m2_relset_1(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0))
| ~ v1_funct_2(k3_tsp_2(sK67,X0),sF558,u1_struct_0(X0)) )
| ~ spl559_62 ),
inference(avatar_component_clause,[],[f11695]) ).
fof(f11697,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_16
| spl559_62 ),
inference(avatar_split_clause,[],[f11693,f11695,f11335,f11327,f11323,f11319]) ).
fof(f11700,plain,
( ~ m2_tsp_1(sK68,sK67)
| ~ l1_pre_topc(sK67)
| spl559_24 ),
inference(resolution,[],[f7134,f11384]) ).
fof(f11701,plain,
( ~ spl559_12
| ~ spl559_37
| spl559_24 ),
inference(avatar_split_clause,[],[f11700,f11382,f11461,f11319]) ).
fof(f11730,plain,
( ~ m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| spl559_10 ),
inference(resolution,[],[f11307,f8734]) ).
fof(f11731,plain,
( ~ spl559_27
| spl559_10 ),
inference(avatar_split_clause,[],[f11730,f11305,f11394]) ).
fof(f11747,plain,
! [X2,X0,X1] :
( k2_tex_4(X0,X2) = k4_tex_4(X0,X1)
| ~ r2_hidden(X2,k4_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)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(superposition,[],[f8906,f7290]) ).
fof(f11758,plain,
! [X2,X0,X1] :
( k2_tex_4(X0,X2) = k4_tex_4(X0,X1)
| ~ r2_hidden(X2,k4_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)
| ~ v2_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f11747]) ).
fof(f11764,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X1) = k4_tex_4(X0,X2)
| ~ r2_hidden(X1,k4_tex_4(X0,X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(superposition,[],[f11758,f7290]) ).
fof(f11779,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X1) = k4_tex_4(X0,X2)
| ~ r2_hidden(X1,k4_tex_4(X0,X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f11764]) ).
fof(f11906,definition,
( spl559_74
<=> sF553 = k1_tsp_2(sK67,sK68) ),
introduced(definition,[new_symbols(definition,[spl559_74])],[avatar_definition]) ).
fof(f11907,plain,
( sF553 != k1_tsp_2(sK67,sK68)
| spl559_74 ),
inference(avatar_component_clause,[],[f11906]) ).
fof(f11908,plain,
( sF553 = k1_tsp_2(sK67,sK68)
| ~ spl559_74 ),
inference(avatar_component_clause,[],[f11906]) ).
fof(f11931,plain,
! [X0] :
( sF556 = k4_tex_4(sK67,X0)
| ~ r2_hidden(X0,k4_tex_4(sK67,sK69))
| ~ m1_subset_1(X0,u1_struct_0(sK67))
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67) ),
inference(superposition,[],[f11239,f11779]) ).
fof(f11964,plain,
! [X0] :
( ~ r2_hidden(X0,sF556)
| sF556 = k4_tex_4(sK67,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK67))
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11931,f11239]) ).
fof(f11974,plain,
! [X0] :
( ~ m1_subset_1(X0,sF558)
| ~ r2_hidden(X0,sF556)
| sF556 = k4_tex_4(sK67,X0)
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11964,f11244]) ).
fof(f11984,plain,
! [X0] :
( ~ m1_subset_1(sK69,sF558)
| ~ m1_subset_1(X0,sF558)
| ~ r2_hidden(X0,sF556)
| sF556 = k4_tex_4(sK67,X0)
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67) ),
inference(forward_demodulation,[],[f11974,f11244]) ).
fof(f11994,definition,
( spl559_78
<=> ! [X0] :
( ~ m1_subset_1(X0,sF558)
| ~ r2_hidden(X0,sF556)
| sF556 = k4_tex_4(sK67,X0) ) ),
introduced(definition,[new_symbols(definition,[spl559_78])],[avatar_definition]) ).
fof(f11995,plain,
( ! [X0] :
( sF556 = k4_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556)
| ~ m1_subset_1(X0,sF558) )
| ~ spl559_78 ),
inference(avatar_component_clause,[],[f11994]) ).
fof(f11998,plain,
( ~ spl559_13
| ~ spl559_12
| spl559_14
| spl559_78
| ~ spl559_16 ),
inference(avatar_split_clause,[],[f11984,f11335,f11994,f11327,f11319,f11323]) ).
fof(f12011,plain,
( ! [X0,X1] :
( sF556 = k2_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556)
| ~ m1_subset_1(X0,u1_struct_0(sK67))
| ~ m1_subset_1(X1,u1_struct_0(sK67))
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67)
| ~ r2_hidden(X1,sF556)
| ~ m1_subset_1(X1,sF558) )
| ~ spl559_78 ),
inference(superposition,[],[f11758,f11995]) ).
fof(f12019,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF558)
| sF556 = k2_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556)
| ~ m1_subset_1(X1,u1_struct_0(sK67))
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67)
| ~ r2_hidden(X1,sF556)
| ~ m1_subset_1(X1,sF558) )
| ~ spl559_78 ),
inference(forward_demodulation,[],[f12011,f11244]) ).
fof(f12035,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF558)
| ~ m1_subset_1(X0,sF558)
| sF556 = k2_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556)
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67)
| ~ r2_hidden(X1,sF556)
| ~ m1_subset_1(X1,sF558) )
| ~ spl559_78 ),
inference(forward_demodulation,[],[f12019,f11244]) ).
fof(f12036,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF558)
| ~ m1_subset_1(X0,sF558)
| sF556 = k2_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556)
| v3_struct_0(sK67)
| ~ l1_pre_topc(sK67)
| ~ v2_pre_topc(sK67)
| ~ r2_hidden(X1,sF556) )
| ~ spl559_78 ),
inference(duplicate_literal_removal,[],[f12035]) ).
fof(f12053,definition,
( spl559_80
<=> ! [X0] :
( ~ m1_subset_1(X0,sF558)
| ~ r2_hidden(X0,sF556)
| sF556 = k2_tex_4(sK67,X0) ) ),
introduced(definition,[new_symbols(definition,[spl559_80])],[avatar_definition]) ).
fof(f12054,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| ~ r2_hidden(X0,sF556)
| sF556 = k2_tex_4(sK67,X0) )
| ~ spl559_80 ),
inference(avatar_component_clause,[],[f12053]) ).
fof(f12056,definition,
( spl559_81
<=> ! [X1] :
( ~ m1_subset_1(X1,sF558)
| ~ r2_hidden(X1,sF556) ) ),
introduced(definition,[new_symbols(definition,[spl559_81])],[avatar_definition]) ).
fof(f12057,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sF558)
| ~ r2_hidden(X1,sF556) )
| ~ spl559_81 ),
inference(avatar_component_clause,[],[f12056]) ).
fof(f12058,plain,
( ~ spl559_13
| ~ spl559_12
| spl559_14
| spl559_80
| spl559_81
| ~ spl559_78 ),
inference(avatar_split_clause,[],[f12036,f11994,f12056,f12053,f11327,f11319,f11323]) ).
fof(f12194,plain,
( ! [X0] :
( r1_tarski(sF555,k9_relat_1(sF553,X0))
| ~ r1_tarski(sF554,X0)
| ~ v1_relat_1(sF553) )
| ~ spl559_11 ),
inference(superposition,[],[f8694,f11312]) ).
fof(f12199,definition,
( spl559_96
<=> v1_relat_1(sF553) ),
introduced(definition,[new_symbols(definition,[spl559_96])],[avatar_definition]) ).
fof(f12200,plain,
( v1_relat_1(sF553)
| ~ spl559_96 ),
inference(avatar_component_clause,[],[f12199]) ).
fof(f12215,definition,
( spl559_100
<=> ! [X0] :
( r1_tarski(sF555,k9_relat_1(sF553,X0))
| ~ r1_tarski(sF554,X0) ) ),
introduced(definition,[new_symbols(definition,[spl559_100])],[avatar_definition]) ).
fof(f12216,plain,
( ! [X0] :
( r1_tarski(sF555,k9_relat_1(sF553,X0))
| ~ r1_tarski(sF554,X0) )
| ~ spl559_100 ),
inference(avatar_component_clause,[],[f12215]) ).
fof(f12217,plain,
( ~ spl559_96
| spl559_100
| ~ spl559_11 ),
inference(avatar_split_clause,[],[f12194,f11310,f12215,f12199]) ).
fof(f12727,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f9053,f9052]) ).
fof(f12733,plain,
( v1_relat_1(sF553)
| ~ spl559_27 ),
inference(resolution,[],[f12727,f11396]) ).
fof(f12736,plain,
( spl559_96
| ~ spl559_27 ),
inference(avatar_split_clause,[],[f12733,f11394,f12199]) ).
fof(f12750,definition,
( spl559_143
<=> r1_tarski(sF557,sF555) ),
introduced(definition,[new_symbols(definition,[spl559_143])],[avatar_definition]) ).
fof(f12751,plain,
( ~ r1_tarski(sF557,sF555)
| spl559_143 ),
inference(avatar_component_clause,[],[f12750]) ).
fof(f12772,definition,
( spl559_147
<=> r1_tarski(sF556,sF556) ),
introduced(definition,[new_symbols(definition,[spl559_147])],[avatar_definition]) ).
fof(f12774,plain,
( ~ r1_tarski(sF556,sF556)
| spl559_147 ),
inference(avatar_component_clause,[],[f12772]) ).
fof(f12789,plain,
( ! [X0] :
( ~ r1_tarski(sF554,X0)
| ~ r1_tarski(k9_relat_1(sF553,X0),sF555)
| sF555 = k9_relat_1(sF553,X0) )
| ~ spl559_100 ),
inference(resolution,[],[f12216,f7950]) ).
fof(f12809,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK67))
| v3_struct_0(sK67)
| r1_tarski(k1_struct_0(sK67,X0),k2_tex_4(sK67,X0)) )
| ~ spl559_12 ),
inference(resolution,[],[f8909,f11320]) ).
fof(f12815,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| v3_struct_0(sK67)
| r1_tarski(k1_struct_0(sK67,X0),k2_tex_4(sK67,X0)) )
| ~ spl559_12 ),
inference(forward_demodulation,[],[f12809,f11244]) ).
fof(f12817,definition,
( spl559_154
<=> ! [X0] :
( ~ m1_subset_1(X0,sF558)
| r1_tarski(k1_struct_0(sK67,X0),k2_tex_4(sK67,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl559_154])],[avatar_definition]) ).
fof(f12818,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| r1_tarski(k1_struct_0(sK67,X0),k2_tex_4(sK67,X0)) )
| ~ spl559_154 ),
inference(avatar_component_clause,[],[f12817]) ).
fof(f12819,plain,
( spl559_14
| spl559_154
| ~ spl559_12 ),
inference(avatar_split_clause,[],[f12815,f11319,f12817,f11327]) ).
fof(f12820,plain,
( r1_tarski(k1_struct_0(sK67,sK69),k2_tex_4(sK67,sK69))
| ~ spl559_16
| ~ spl559_154 ),
inference(resolution,[],[f12818,f11336]) ).
fof(f12821,plain,
( r1_tarski(sF554,k2_tex_4(sK67,sK69))
| ~ spl559_16
| ~ spl559_154 ),
inference(forward_demodulation,[],[f12820,f11235]) ).
fof(f12873,definition,
( spl559_162
<=> sF555 = sF557 ),
introduced(definition,[new_symbols(definition,[spl559_162])],[avatar_definition]) ).
fof(f12886,plain,
( ~ r2_hidden(sK69,sF556)
| sF556 = k2_tex_4(sK67,sK69)
| ~ spl559_16
| ~ spl559_80 ),
inference(resolution,[],[f12054,f11336]) ).
fof(f12888,definition,
( spl559_164
<=> sF556 = k2_tex_4(sK67,sK69) ),
introduced(definition,[new_symbols(definition,[spl559_164])],[avatar_definition]) ).
fof(f12890,plain,
( sF556 = k2_tex_4(sK67,sK69)
| ~ spl559_164 ),
inference(avatar_component_clause,[],[f12888]) ).
fof(f12892,definition,
( spl559_165
<=> r2_hidden(sK69,sF556) ),
introduced(definition,[new_symbols(definition,[spl559_165])],[avatar_definition]) ).
fof(f12942,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK68))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK68))
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_struct_0(sK68)
| ~ l1_struct_0(X1) )
| spl559_26 ),
inference(resolution,[],[f8273,f11391]) ).
fof(f12944,definition,
( spl559_170
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ l1_struct_0(X1)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK68))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK68)) ) ),
introduced(definition,[new_symbols(definition,[spl559_170])],[avatar_definition]) ).
fof(f12945,plain,
( ! [X0,X1] :
( ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK68))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK68)) )
| ~ spl559_170 ),
inference(avatar_component_clause,[],[f12944]) ).
fof(f12946,plain,
( ~ spl559_6
| spl559_170
| spl559_26 ),
inference(avatar_split_clause,[],[f12942,f11390,f12944,f11289]) ).
fof(f13000,definition,
( spl559_180
<=> r1_tarski(sF556,sF558) ),
introduced(definition,[new_symbols(definition,[spl559_180])],[avatar_definition]) ).
fof(f13001,plain,
( r1_tarski(sF556,sF558)
| ~ spl559_180 ),
inference(avatar_component_clause,[],[f13000]) ).
fof(f13002,plain,
( ~ r1_tarski(sF556,sF558)
| spl559_180 ),
inference(avatar_component_clause,[],[f13000]) ).
fof(f13010,plain,
( ! [X0,X1] :
( k2_tex_4(sK67,X0) != k2_tex_4(sK67,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK67))
| ~ m1_subset_1(X0,u1_struct_0(sK67))
| v3_struct_0(sK67)
| r2_hidden(X1,k2_tex_4(sK67,X0)) )
| ~ spl559_12 ),
inference(resolution,[],[f8907,f11320]) ).
fof(f13016,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF558)
| k2_tex_4(sK67,X0) != k2_tex_4(sK67,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK67))
| v3_struct_0(sK67)
| r2_hidden(X1,k2_tex_4(sK67,X0)) )
| ~ spl559_12 ),
inference(forward_demodulation,[],[f13010,f11244]) ).
fof(f13017,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF558)
| ~ m1_subset_1(X1,sF558)
| k2_tex_4(sK67,X0) != k2_tex_4(sK67,X1)
| v3_struct_0(sK67)
| r2_hidden(X1,k2_tex_4(sK67,X0)) )
| ~ spl559_12 ),
inference(forward_demodulation,[],[f13016,f11244]) ).
fof(f13019,definition,
( spl559_183
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,sF558)
| r2_hidden(X1,k2_tex_4(sK67,X0))
| k2_tex_4(sK67,X0) != k2_tex_4(sK67,X1)
| ~ m1_subset_1(X1,sF558) ) ),
introduced(definition,[new_symbols(definition,[spl559_183])],[avatar_definition]) ).
fof(f13020,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF558)
| r2_hidden(X1,k2_tex_4(sK67,X0))
| k2_tex_4(sK67,X0) != k2_tex_4(sK67,X1)
| ~ m1_subset_1(X1,sF558) )
| ~ spl559_183 ),
inference(avatar_component_clause,[],[f13019]) ).
fof(f13021,plain,
( spl559_14
| spl559_183
| ~ spl559_12 ),
inference(avatar_split_clause,[],[f13017,f11319,f13019,f11327]) ).
fof(f13025,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| r2_hidden(X0,k2_tex_4(sK67,X0))
| k2_tex_4(sK67,X0) != k2_tex_4(sK67,X0) )
| ~ spl559_183 ),
inference(factoring,[],[f13020]) ).
fof(f13026,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| r2_hidden(X0,k2_tex_4(sK67,X0)) )
| ~ spl559_183 ),
inference(trivial_inequality_removal,[],[f13025]) ).
fof(f13029,plain,
( r2_hidden(sK69,k2_tex_4(sK67,sK69))
| ~ spl559_16
| ~ spl559_183 ),
inference(resolution,[],[f13026,f11336]) ).
fof(f13043,plain,
( r2_hidden(sK69,k4_tex_4(sK67,sK69))
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| ~ spl559_16
| ~ spl559_183 ),
inference(superposition,[],[f13029,f7290]) ).
fof(f13045,plain,
( r2_hidden(sK69,sF556)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| ~ m1_subset_1(sK69,u1_struct_0(sK67))
| ~ spl559_16
| ~ spl559_183 ),
inference(forward_demodulation,[],[f13043,f11239]) ).
fof(f13049,plain,
( ~ m1_subset_1(sK69,sF558)
| r2_hidden(sK69,sF556)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| ~ spl559_16
| ~ spl559_183 ),
inference(forward_demodulation,[],[f13045,f11244]) ).
fof(f13053,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_165
| ~ spl559_16
| ~ spl559_16
| ~ spl559_183 ),
inference(avatar_split_clause,[],[f13049,f13019,f11335,f11335,f12892,f11327,f11323,f11319]) ).
fof(f13068,plain,
( ~ r2_hidden(sK69,sF556)
| ~ spl559_16
| ~ spl559_81 ),
inference(resolution,[],[f12057,f11336]) ).
fof(f13069,plain,
( ~ spl559_165
| ~ spl559_16
| ~ spl559_81 ),
inference(avatar_split_clause,[],[f13068,f12056,f11335,f12892]) ).
fof(f13070,plain,
( spl559_164
| ~ spl559_165
| ~ spl559_16
| ~ spl559_80 ),
inference(avatar_split_clause,[],[f12886,f12053,f11335,f12892,f12888]) ).
fof(f13138,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF558)
| sF556 = k2_tex_4(sK67,X0)
| ~ r2_hidden(X0,sF556) )
| ~ spl559_80 ),
inference(resolution,[],[f12054,f7908]) ).
fof(f13187,plain,
! [X0,X1] :
( r2_hidden(X1,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[],[f8286,f8287]) ).
fof(f13188,plain,
! [X0,X1] :
( r2_hidden(X1,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f13187]) ).
fof(f13189,plain,
! [X0] :
( r2_hidden(X0,sF558)
| ~ m1_subset_1(X0,sF558)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67) ),
inference(superposition,[],[f13188,f11244]) ).
fof(f13191,definition,
( spl559_193
<=> ! [X0] :
( r2_hidden(X0,sF558)
| ~ m1_subset_1(X0,sF558) ) ),
introduced(definition,[new_symbols(definition,[spl559_193])],[avatar_definition]) ).
fof(f13192,plain,
( ! [X0] :
( r2_hidden(X0,sF558)
| ~ m1_subset_1(X0,sF558) )
| ~ spl559_193 ),
inference(avatar_component_clause,[],[f13191]) ).
fof(f13193,plain,
( ~ spl559_7
| spl559_14
| spl559_193 ),
inference(avatar_split_clause,[],[f13189,f13191,f11327,f11293]) ).
fof(f13195,plain,
( ! [X2,X0,X1] :
( k10_relat_1(X0,X1) = k5_pre_topc(sK67,X2,X0,X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK67),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(sK67),u1_struct_0(X2)) )
| ~ spl559_7 ),
inference(resolution,[],[f8440,f11294]) ).
fof(f13198,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF558,u1_struct_0(X2))
| k10_relat_1(X0,X1) = k5_pre_topc(sK67,X2,X0,X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK67),u1_struct_0(X2)) )
| ~ spl559_7 ),
inference(forward_demodulation,[],[f13195,f11244]) ).
fof(f13199,plain,
( ! [X2,X0,X1] :
( ~ l1_struct_0(X2)
| ~ v1_funct_2(X0,sF558,u1_struct_0(X2))
| k10_relat_1(X0,X1) = k5_pre_topc(sK67,X2,X0,X1)
| ~ m1_relset_1(X0,sF558,u1_struct_0(X2))
| ~ v1_funct_1(X0) )
| ~ spl559_7 ),
inference(forward_demodulation,[],[f13198,f11244]) ).
fof(f13202,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF558,u1_struct_0(sK68))
| k10_relat_1(X0,X1) = k5_pre_topc(sK67,sK68,X0,X1)
| ~ v1_funct_2(X0,sF558,u1_struct_0(sK68))
| ~ v1_funct_1(X0) )
| ~ spl559_6
| ~ spl559_7 ),
inference(resolution,[],[f13199,f11290]) ).
fof(f13217,plain,
( ! [X0] :
( k10_relat_1(sF553,X0) = k5_pre_topc(sK67,sK68,sF553,X0)
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_1(sF553) )
| ~ spl559_6
| ~ spl559_7
| ~ spl559_10 ),
inference(resolution,[],[f13202,f11306]) ).
fof(f13219,definition,
( spl559_195
<=> ! [X0] : k10_relat_1(sF553,X0) = k5_pre_topc(sK67,sK68,sF553,X0) ),
introduced(definition,[new_symbols(definition,[spl559_195])],[avatar_definition]) ).
fof(f13220,plain,
( ! [X0] : k10_relat_1(sF553,X0) = k5_pre_topc(sK67,sK68,sF553,X0)
| ~ spl559_195 ),
inference(avatar_component_clause,[],[f13219]) ).
fof(f13221,plain,
( ~ spl559_5
| ~ spl559_9
| spl559_195
| ~ spl559_6
| ~ spl559_7
| ~ spl559_10 ),
inference(avatar_split_clause,[],[f13217,f11305,f11293,f11289,f13219,f11301,f11285]) ).
fof(f13255,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK67)
| ~ m2_relset_1(X0,u1_struct_0(sK67),u1_struct_0(sK68))
| ~ v1_funct_2(X0,u1_struct_0(sK67),u1_struct_0(sK68)) )
| ~ spl559_7
| ~ spl559_170 ),
inference(resolution,[],[f12945,f11294]) ).
fof(f13257,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF558,u1_struct_0(sK68))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK67)
| ~ v1_funct_2(X0,u1_struct_0(sK67),u1_struct_0(sK68)) )
| ~ spl559_7
| ~ spl559_170 ),
inference(forward_demodulation,[],[f13255,f11244]) ).
fof(f13258,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF558,u1_struct_0(sK68))
| ~ m2_relset_1(X0,sF558,u1_struct_0(sK68))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK67) )
| ~ spl559_7
| ~ spl559_170 ),
inference(forward_demodulation,[],[f13257,f11244]) ).
fof(f13259,plain,
( ~ m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_1(sF553)
| k2_pre_topc(sK67) = k1_relat_1(sF553)
| ~ spl559_7
| ~ spl559_9
| ~ spl559_170 ),
inference(resolution,[],[f13258,f11302]) ).
fof(f13277,definition,
( spl559_200
<=> k2_pre_topc(sK67) = k1_relat_1(sF553) ),
introduced(definition,[new_symbols(definition,[spl559_200])],[avatar_definition]) ).
fof(f13279,plain,
( k2_pre_topc(sK67) = k1_relat_1(sF553)
| ~ spl559_200 ),
inference(avatar_component_clause,[],[f13277]) ).
fof(f13280,plain,
( spl559_200
| ~ spl559_5
| ~ spl559_27
| ~ spl559_7
| ~ spl559_9
| ~ spl559_170 ),
inference(avatar_split_clause,[],[f13259,f12944,f11301,f11293,f11394,f11285,f13277]) ).
fof(f13284,plain,
( u1_struct_0(sK67) = k1_relat_1(sF553)
| ~ l1_struct_0(sK67)
| ~ spl559_200 ),
inference(superposition,[],[f13279,f8287]) ).
fof(f13295,plain,
( sF558 = k1_relat_1(sF553)
| ~ l1_struct_0(sK67)
| ~ spl559_200 ),
inference(forward_demodulation,[],[f13284,f11244]) ).
fof(f13297,definition,
( spl559_202
<=> sF558 = k1_relat_1(sF553) ),
introduced(definition,[new_symbols(definition,[spl559_202])],[avatar_definition]) ).
fof(f13299,plain,
( sF558 = k1_relat_1(sF553)
| ~ spl559_202 ),
inference(avatar_component_clause,[],[f13297]) ).
fof(f13305,plain,
( ~ spl559_7
| spl559_202
| ~ spl559_200 ),
inference(avatar_split_clause,[],[f13295,f13277,f13297,f11293]) ).
fof(f13339,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK67))
| v3_struct_0(sK67)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_struct_0(sK67,X0)) )
| ~ spl559_12 ),
inference(resolution,[],[f8903,f11320]) ).
fof(f13345,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| v3_struct_0(sK67)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_struct_0(sK67,X0)) )
| ~ spl559_12 ),
inference(forward_demodulation,[],[f13339,f11244]) ).
fof(f13347,definition,
( spl559_207
<=> ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_struct_0(sK67,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl559_207])],[avatar_definition]) ).
fof(f13348,plain,
( ! [X0] :
( k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_struct_0(sK67,X0))
| ~ m1_subset_1(X0,sF558) )
| ~ spl559_207 ),
inference(avatar_component_clause,[],[f13347]) ).
fof(f13349,plain,
( spl559_14
| spl559_207
| ~ spl559_12 ),
inference(avatar_split_clause,[],[f13345,f11319,f13347,f11327]) ).
fof(f13351,plain,
( ! [X0] :
( k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_tarski(X0))
| ~ m1_subset_1(X0,sF558)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67)
| ~ m1_subset_1(X0,u1_struct_0(sK67)) )
| ~ spl559_207 ),
inference(superposition,[],[f13348,f7228]) ).
fof(f13352,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_tarski(X0))
| ~ m1_subset_1(X0,sF558)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67) )
| ~ spl559_207 ),
inference(forward_demodulation,[],[f13351,f11244]) ).
fof(f13353,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_tarski(X0))
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67) )
| ~ spl559_207 ),
inference(duplicate_literal_removal,[],[f13352]) ).
fof(f13356,definition,
( spl559_208
<=> ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_tarski(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl559_208])],[avatar_definition]) ).
fof(f13357,plain,
( ! [X0] :
( k2_tex_4(sK67,X0) = k3_tex_4(sK67,k1_tarski(X0))
| ~ m1_subset_1(X0,sF558) )
| ~ spl559_208 ),
inference(avatar_component_clause,[],[f13356]) ).
fof(f13358,plain,
( ~ spl559_7
| spl559_14
| spl559_208
| ~ spl559_207 ),
inference(avatar_split_clause,[],[f13353,f13347,f13356,f11327,f11293]) ).
fof(f13453,plain,
( $false
| spl559_147 ),
inference(backward_subsumption_resolution,[],[f12774,f7951]) ).
fof(f13456,plain,
spl559_147,
inference(avatar_contradiction_clause,[],[f13453]) ).
fof(f13458,plain,
! [X0,X1] :
( ~ l1_struct_0(X1)
| ~ m1_subset_1(sK191(X0,u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| r1_tarski(X0,u1_struct_0(X1)) ),
inference(resolution,[],[f7927,f13188]) ).
fof(f13481,plain,
( ~ m1_subset_1(sF556,k1_zfmisc_1(sF558))
| spl559_180 ),
inference(resolution,[],[f7944,f13002]) ).
fof(f13485,plain,
( ~ spl559_31
| spl559_180 ),
inference(avatar_split_clause,[],[f13481,f13000,f11420]) ).
fof(f13505,plain,
( ~ v1_xboole_0(sF558)
| v3_struct_0(sK67)
| ~ l1_struct_0(sK67) ),
inference(superposition,[],[f8292,f11244]) ).
fof(f13507,definition,
( spl559_223
<=> v1_xboole_0(sF558) ),
introduced(definition,[new_symbols(definition,[spl559_223])],[avatar_definition]) ).
fof(f13509,plain,
( ~ v1_xboole_0(sF558)
| spl559_223 ),
inference(avatar_component_clause,[],[f13507]) ).
fof(f13510,plain,
( ~ spl559_7
| spl559_14
| ~ spl559_223 ),
inference(avatar_split_clause,[],[f13505,f13507,f11327,f11293]) ).
fof(f13993,plain,
( k3_tsp_2(sK67,sK68) != sF553
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67)
| spl559_74 ),
inference(superposition,[],[f11907,f7297]) ).
fof(f13994,plain,
( sF553 != sF553
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67)
| spl559_74 ),
inference(forward_demodulation,[],[f13993,f11233]) ).
fof(f13995,plain,
( v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67)
| v3_struct_0(sK68)
| ~ v2_tsp_2(sK68,sK67)
| ~ m1_pre_topc(sK68,sK67)
| spl559_74 ),
inference(trivial_inequality_removal,[],[f13994]) ).
fof(f13996,plain,
( ~ spl559_24
| ~ spl559_25
| spl559_26
| ~ spl559_12
| ~ spl559_13
| spl559_14
| spl559_74 ),
inference(avatar_split_clause,[],[f13995,f11906,f11327,f11323,f11319,f11390,f11386,f11382]) ).
fof(f14179,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_tarski(X1))
| X0 = X1 ),
inference(equality_resolution,[],[f8264]) ).
fof(f14278,plain,
( ~ r1_tarski(k9_relat_1(sF553,k2_tex_4(sK67,sK69)),sF555)
| sF555 = k9_relat_1(sF553,k2_tex_4(sK67,sK69))
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154 ),
inference(resolution,[],[f12789,f12821]) ).
fof(f14285,plain,
( ~ r1_tarski(k9_relat_1(sF553,sF556),sF555)
| sF555 = k9_relat_1(sF553,k2_tex_4(sK67,sK69))
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154
| ~ spl559_164 ),
inference(forward_demodulation,[],[f14278,f12890]) ).
fof(f14286,plain,
( ~ r1_tarski(sF557,sF555)
| sF555 = k9_relat_1(sF553,k2_tex_4(sK67,sK69))
| ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154
| ~ spl559_164 ),
inference(forward_demodulation,[],[f14285,f11299]) ).
fof(f14668,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,sF558,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF558,X2)
| k1_funct_1(X0,X1) = k8_funct_2(sF558,X2,X0,X1)
| ~ m1_subset_1(X1,sF558) )
| spl559_223 ),
inference(resolution,[],[f8307,f13509]) ).
fof(f14670,plain,
( ! [X0] :
( ~ v1_funct_1(sF553)
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| k8_funct_2(sF558,u1_struct_0(sK68),sF553,X0) = k1_funct_1(sF553,X0)
| ~ m1_subset_1(X0,sF558) )
| ~ spl559_10
| spl559_223 ),
inference(resolution,[],[f14668,f11306]) ).
fof(f14672,definition,
( spl559_363
<=> ! [X0] :
( k8_funct_2(sF558,u1_struct_0(sK68),sF553,X0) = k1_funct_1(sF553,X0)
| ~ m1_subset_1(X0,sF558) ) ),
introduced(definition,[new_symbols(definition,[spl559_363])],[avatar_definition]) ).
fof(f14673,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k8_funct_2(sF558,u1_struct_0(sK68),sF553,X0) = k1_funct_1(sF553,X0) )
| ~ spl559_363 ),
inference(avatar_component_clause,[],[f14672]) ).
fof(f14674,plain,
( spl559_363
| ~ spl559_9
| ~ spl559_5
| ~ spl559_10
| spl559_223 ),
inference(avatar_split_clause,[],[f14670,f13507,f11305,f11285,f11301,f14672]) ).
fof(f14677,plain,
( k8_funct_2(sF558,u1_struct_0(sK68),sF553,sK69) = k1_funct_1(sF553,sK69)
| ~ spl559_16
| ~ spl559_363 ),
inference(resolution,[],[f14673,f11336]) ).
fof(f14706,definition,
( spl559_367
<=> m1_subset_1(k1_funct_1(sF553,sK69),sF558) ),
introduced(definition,[new_symbols(definition,[spl559_367])],[avatar_definition]) ).
fof(f14707,plain,
( m1_subset_1(k1_funct_1(sF553,sK69),sF558)
| ~ spl559_367 ),
inference(avatar_component_clause,[],[f14706]) ).
fof(f14708,plain,
( ~ m1_subset_1(k1_funct_1(sF553,sK69),sF558)
| spl559_367 ),
inference(avatar_component_clause,[],[f14706]) ).
fof(f15246,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,k10_relat_1(sF553,X1))
| r1_tarski(k9_relat_1(sF553,X0),X1)
| ~ v1_funct_1(sF553) )
| ~ spl559_96 ),
inference(resolution,[],[f8661,f12200]) ).
fof(f15249,definition,
( spl559_424
<=> ! [X0,X1] :
( ~ r1_tarski(X0,k10_relat_1(sF553,X1))
| r1_tarski(k9_relat_1(sF553,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl559_424])],[avatar_definition]) ).
fof(f15250,plain,
( ! [X0,X1] :
( r1_tarski(k9_relat_1(sF553,X0),X1)
| ~ r1_tarski(X0,k10_relat_1(sF553,X1)) )
| ~ spl559_424 ),
inference(avatar_component_clause,[],[f15249]) ).
fof(f15251,plain,
( ~ spl559_5
| spl559_424
| ~ spl559_96 ),
inference(avatar_split_clause,[],[f15246,f12199,f15249,f11285]) ).
fof(f15255,plain,
( ! [X0] :
( r1_tarski(sF557,X0)
| ~ r1_tarski(sF556,k10_relat_1(sF553,X0)) )
| ~ spl559_8
| ~ spl559_424 ),
inference(superposition,[],[f15250,f11299]) ).
fof(f15611,plain,
( sF555 = k9_relat_1(sF553,sF556)
| ~ r1_tarski(sF557,sF555)
| ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154
| ~ spl559_164 ),
inference(forward_demodulation,[],[f14286,f12890]) ).
fof(f15614,plain,
( sF555 = sF557
| ~ r1_tarski(sF557,sF555)
| ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154
| ~ spl559_164 ),
inference(forward_demodulation,[],[f15611,f11299]) ).
fof(f15616,plain,
( ~ spl559_143
| spl559_162
| ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_154
| ~ spl559_164 ),
inference(avatar_split_clause,[],[f15614,f12888,f12817,f12215,f11335,f11297,f12873,f12750]) ).
fof(f15637,plain,
~ spl559_162,
inference(avatar_split_clause,[],[f11242,f12873]) ).
fof(f15640,plain,
( ~ r1_tarski(sF556,k10_relat_1(sF553,sF555))
| ~ spl559_8
| spl559_143
| ~ spl559_424 ),
inference(resolution,[],[f12751,f15255]) ).
fof(f16392,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF553))
| k1_tarski(k1_funct_1(sF553,X0)) = k9_relat_1(sF553,k1_tarski(X0))
| ~ v1_funct_1(sF553) )
| ~ spl559_96 ),
inference(resolution,[],[f8680,f12200]) ).
fof(f16394,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF558)
| k1_tarski(k1_funct_1(sF553,X0)) = k9_relat_1(sF553,k1_tarski(X0))
| ~ v1_funct_1(sF553) )
| ~ spl559_96
| ~ spl559_202 ),
inference(forward_demodulation,[],[f16392,f13299]) ).
fof(f16396,definition,
( spl559_522
<=> ! [X0] :
( ~ r2_hidden(X0,sF558)
| k1_tarski(k1_funct_1(sF553,X0)) = k9_relat_1(sF553,k1_tarski(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl559_522])],[avatar_definition]) ).
fof(f16397,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF558)
| k1_tarski(k1_funct_1(sF553,X0)) = k9_relat_1(sF553,k1_tarski(X0)) )
| ~ spl559_522 ),
inference(avatar_component_clause,[],[f16396]) ).
fof(f16398,plain,
( ~ spl559_5
| spl559_522
| ~ spl559_96
| ~ spl559_202 ),
inference(avatar_split_clause,[],[f16394,f13297,f12199,f16396,f11285]) ).
fof(f16399,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF558)
| k1_tarski(k1_funct_1(sF553,X0)) = k9_relat_1(sF553,k1_tarski(X0)) )
| ~ spl559_193
| ~ spl559_522 ),
inference(resolution,[],[f16397,f13192]) ).
fof(f16404,plain,
( k1_tarski(k1_funct_1(sF553,sK69)) = k9_relat_1(sF553,k1_tarski(sK69))
| ~ spl559_16
| ~ spl559_193
| ~ spl559_522 ),
inference(resolution,[],[f16399,f11336]) ).
fof(f16405,plain,
( k9_relat_1(sF553,sF554) = k1_tarski(k1_funct_1(sF553,sK69))
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(forward_demodulation,[],[f16404,f11578]) ).
fof(f16406,plain,
( sF555 = k1_tarski(k1_funct_1(sF553,sK69))
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(forward_demodulation,[],[f16405,f11312]) ).
fof(f16407,plain,
( k1_funct_1(sF553,sK69) = k3_tarski(sF555)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(superposition,[],[f10331,f16406]) ).
fof(f16408,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF555)
| k1_funct_1(sF553,sK69) = X0 )
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(superposition,[],[f14179,f16406]) ).
fof(f16419,plain,
( ~ r2_hidden(k1_funct_1(sF553,sK69),sF558)
| spl559_367 ),
inference(resolution,[],[f14708,f7908]) ).
fof(f16421,plain,
( ! [X0] :
( r1_tarski(sF555,X0)
| k1_funct_1(sF553,sK69) = sK191(sF555,X0) )
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(resolution,[],[f16408,f7926]) ).
fof(f16434,plain,
( sF555 = k1_tarski(k3_tarski(sF555))
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522 ),
inference(superposition,[],[f16406,f16407]) ).
fof(f16439,plain,
( k3_tex_4(sK67,sF555) = k2_tex_4(sK67,k3_tarski(sF555))
| ~ m1_subset_1(k3_tarski(sF555),sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_208
| ~ spl559_522 ),
inference(superposition,[],[f13357,f16434]) ).
fof(f16441,definition,
( spl559_525
<=> m1_subset_1(k3_tarski(sF555),sF558) ),
introduced(definition,[new_symbols(definition,[spl559_525])],[avatar_definition]) ).
fof(f16445,definition,
( spl559_526
<=> k3_tex_4(sK67,sF555) = k2_tex_4(sK67,k3_tarski(sF555)) ),
introduced(definition,[new_symbols(definition,[spl559_526])],[avatar_definition]) ).
fof(f16447,plain,
( k3_tex_4(sK67,sF555) = k2_tex_4(sK67,k3_tarski(sF555))
| ~ spl559_526 ),
inference(avatar_component_clause,[],[f16445]) ).
fof(f16448,plain,
( ~ spl559_525
| spl559_526
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_208
| ~ spl559_522 ),
inference(avatar_split_clause,[],[f16439,f16396,f13356,f13191,f11576,f11335,f11310,f16445,f16441]) ).
fof(f16691,definition,
( spl559_548
<=> sF556 = k2_tex_4(sK67,k3_tarski(sF555)) ),
introduced(definition,[new_symbols(definition,[spl559_548])],[avatar_definition]) ).
fof(f16693,plain,
( sF556 = k2_tex_4(sK67,k3_tarski(sF555))
| ~ spl559_548 ),
inference(avatar_component_clause,[],[f16691]) ).
fof(f16701,plain,
( ! [X0,X1] :
( X0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK67)))
| v3_struct_0(sK68)
| k3_tex_4(sK67,X0) = k5_pre_topc(sK67,sK68,k1_tsp_2(sK67,sK68),X1)
| ~ m2_tsp_1(sK68,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) )
| ~ spl559_25 ),
inference(resolution,[],[f8941,f11387]) ).
fof(f16702,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF558))
| X0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| v3_struct_0(sK68)
| k3_tex_4(sK67,X0) = k5_pre_topc(sK67,sK68,k1_tsp_2(sK67,sK68),X1)
| ~ m2_tsp_1(sK68,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) )
| ~ spl559_25 ),
inference(forward_demodulation,[],[f16701,f11244]) ).
fof(f16703,plain,
( ! [X0,X1] :
( k3_tex_4(sK67,X0) = k5_pre_topc(sK67,sK68,sF553,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF558))
| X0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| v3_struct_0(sK68)
| ~ m2_tsp_1(sK68,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) )
| ~ spl559_25
| ~ spl559_74 ),
inference(forward_demodulation,[],[f16702,f11908]) ).
fof(f16704,plain,
( ! [X0,X1] :
( k10_relat_1(sF553,X1) = k3_tex_4(sK67,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF558))
| X0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| v3_struct_0(sK68)
| ~ m2_tsp_1(sK68,sK67)
| v3_struct_0(sK67)
| ~ v2_pre_topc(sK67)
| ~ l1_pre_topc(sK67) )
| ~ spl559_25
| ~ spl559_74
| ~ spl559_195 ),
inference(forward_demodulation,[],[f16703,f13220]) ).
fof(f16706,definition,
( spl559_550
<=> ! [X0,X1] :
( k10_relat_1(sF553,X1) = k3_tex_4(sK67,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| X0 != X1
| ~ m1_subset_1(X0,k1_zfmisc_1(sF558)) ) ),
introduced(definition,[new_symbols(definition,[spl559_550])],[avatar_definition]) ).
fof(f16707,plain,
( ! [X0,X1] :
( X0 != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK68)))
| k10_relat_1(sF553,X1) = k3_tex_4(sK67,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF558)) )
| ~ spl559_550 ),
inference(avatar_component_clause,[],[f16706]) ).
fof(f16708,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_37
| spl559_26
| spl559_550
| ~ spl559_25
| ~ spl559_74
| ~ spl559_195 ),
inference(avatar_split_clause,[],[f16704,f13219,f11906,f11386,f16706,f11390,f11461,f11327,f11323,f11319]) ).
fof(f16709,plain,
( ! [X0] :
( k10_relat_1(sF553,X0) = k3_tex_4(sK67,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sF558)) )
| ~ spl559_550 ),
inference(equality_resolution,[],[f16707]) ).
fof(f19664,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| k3_tarski(k2_tarski(X0,X1)) = X0 ),
inference(superposition,[],[f10967,f10978]) ).
fof(f20452,plain,
( r2_hidden(k8_funct_2(sF558,u1_struct_0(sK68),sF553,sK69),sF556)
| ~ m2_tsp_1(sK68,sK67)
| ~ v2_tsp_2(sK68,sK67)
| v3_struct_0(sK68)
| ~ v5_pre_topc(sF553,sK67,sK68)
| ~ v1_funct_1(sF553)
| ~ m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_62 ),
inference(superposition,[],[f11696,f11233]) ).
fof(f20453,plain,
( r2_hidden(k1_funct_1(sF553,sK69),sF556)
| ~ m2_tsp_1(sK68,sK67)
| ~ v2_tsp_2(sK68,sK67)
| v3_struct_0(sK68)
| ~ v5_pre_topc(sF553,sK67,sK68)
| ~ v1_funct_1(sF553)
| ~ m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_16
| ~ spl559_62
| ~ spl559_363 ),
inference(forward_demodulation,[],[f20452,f14677]) ).
fof(f20454,plain,
( r2_hidden(k3_tarski(sF555),sF556)
| ~ m2_tsp_1(sK68,sK67)
| ~ v2_tsp_2(sK68,sK67)
| v3_struct_0(sK68)
| ~ v5_pre_topc(sF553,sK67,sK68)
| ~ v1_funct_1(sF553)
| ~ m2_relset_1(sF553,sF558,u1_struct_0(sK68))
| ~ v1_funct_2(sF553,sF558,u1_struct_0(sK68))
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_62
| ~ spl559_193
| ~ spl559_363
| ~ spl559_522 ),
inference(forward_demodulation,[],[f20453,f16407]) ).
fof(f20456,definition,
( spl559_912
<=> r2_hidden(k3_tarski(sF555),sF556) ),
introduced(definition,[new_symbols(definition,[spl559_912])],[avatar_definition]) ).
fof(f20458,plain,
( r2_hidden(k3_tarski(sF555),sF556)
| ~ spl559_912 ),
inference(avatar_component_clause,[],[f20456]) ).
fof(f20459,plain,
( ~ spl559_9
| ~ spl559_27
| ~ spl559_5
| ~ spl559_48
| spl559_26
| ~ spl559_25
| ~ spl559_37
| spl559_912
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_62
| ~ spl559_193
| ~ spl559_363
| ~ spl559_522 ),
inference(avatar_split_clause,[],[f20454,f16396,f14672,f13191,f11695,f11576,f11335,f11310,f20456,f11461,f11386,f11390,f11546,f11285,f11394,f11301]) ).
fof(f25609,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,X1) ),
inference(equality_resolution,[],[f10982]) ).
fof(f26932,plain,
( ! [X0] :
( ~ m1_subset_1(sK191(X0,u1_struct_0(sK67)),u1_struct_0(sK67))
| v3_struct_0(sK67)
| r1_tarski(X0,u1_struct_0(sK67)) )
| ~ spl559_7 ),
inference(resolution,[],[f13458,f11294]) ).
fof(f26938,plain,
( ! [X0] :
( ~ m1_subset_1(sK191(X0,sF558),sF558)
| v3_struct_0(sK67)
| r1_tarski(X0,u1_struct_0(sK67)) )
| ~ spl559_7 ),
inference(forward_demodulation,[],[f26932,f11244]) ).
fof(f26939,plain,
( ! [X0] :
( r1_tarski(X0,sF558)
| ~ m1_subset_1(sK191(X0,sF558),sF558)
| v3_struct_0(sK67) )
| ~ spl559_7 ),
inference(forward_demodulation,[],[f26938,f11244]) ).
fof(f26941,definition,
( spl559_1595
<=> ! [X0] :
( r1_tarski(X0,sF558)
| ~ m1_subset_1(sK191(X0,sF558),sF558) ) ),
introduced(definition,[new_symbols(definition,[spl559_1595])],[avatar_definition]) ).
fof(f26942,plain,
( ! [X0] :
( ~ m1_subset_1(sK191(X0,sF558),sF558)
| r1_tarski(X0,sF558) )
| ~ spl559_1595 ),
inference(avatar_component_clause,[],[f26941]) ).
fof(f26943,plain,
( spl559_14
| spl559_1595
| ~ spl559_7 ),
inference(avatar_split_clause,[],[f26939,f11293,f26941,f11327]) ).
fof(f26953,definition,
( spl559_1597
<=> r1_tarski(sF555,sF558) ),
introduced(definition,[new_symbols(definition,[spl559_1597])],[avatar_definition]) ).
fof(f26954,plain,
( ~ r1_tarski(sF555,sF558)
| spl559_1597 ),
inference(avatar_component_clause,[],[f26953]) ).
fof(f35708,plain,
( ~ r2_hidden(k3_tarski(sF555),sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| spl559_367
| ~ spl559_522 ),
inference(forward_demodulation,[],[f16419,f16407]) ).
fof(f51874,plain,
( sF558 = k3_tarski(k2_tarski(sF558,sF556))
| ~ spl559_180 ),
inference(resolution,[],[f19664,f13001]) ).
fof(f51888,plain,
( sF558 = k3_tarski(k2_tarski(sF556,sF558))
| ~ spl559_180 ),
inference(forward_demodulation,[],[f51874,f10978]) ).
fof(f51922,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF556)
| r2_hidden(X0,sF558) )
| ~ spl559_180 ),
inference(superposition,[],[f25609,f51888]) ).
fof(f56738,plain,
( r2_hidden(k3_tarski(sF555),sF558)
| ~ spl559_180
| ~ spl559_912 ),
inference(resolution,[],[f51922,f20458]) ).
fof(f56756,plain,
( $false
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_180
| ~ spl559_193
| spl559_367
| ~ spl559_522
| ~ spl559_912 ),
inference(backward_subsumption_resolution,[],[f35708,f56738]) ).
fof(f56759,plain,
( sF556 = k2_tex_4(sK67,k3_tarski(sF555))
| ~ r2_hidden(k3_tarski(sF555),sF556)
| ~ spl559_80
| ~ spl559_180
| ~ spl559_912 ),
inference(resolution,[],[f56738,f13138]) ).
fof(f56780,plain,
( ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_180
| ~ spl559_193
| spl559_367
| ~ spl559_522
| ~ spl559_912 ),
inference(avatar_contradiction_clause,[],[f56756]) ).
fof(f56854,plain,
( ~ spl559_912
| spl559_548
| ~ spl559_80
| ~ spl559_180
| ~ spl559_912 ),
inference(avatar_split_clause,[],[f56759,f20456,f13000,f12053,f16691,f20456]) ).
fof(f56857,plain,
( m1_subset_1(k3_tarski(sF555),sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_367
| ~ spl559_522 ),
inference(forward_demodulation,[],[f14707,f16407]) ).
fof(f56862,plain,
( spl559_525
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_367
| ~ spl559_522 ),
inference(avatar_split_clause,[],[f56857,f16396,f14706,f13191,f11576,f11335,f11310,f16441]) ).
fof(f57587,plain,
( sF556 = k3_tex_4(sK67,sF555)
| ~ spl559_526
| ~ spl559_548 ),
inference(forward_demodulation,[],[f16447,f16693]) ).
fof(f57588,plain,
( sF556 = k10_relat_1(sF553,sF555)
| ~ m1_subset_1(sF555,k1_zfmisc_1(u1_struct_0(sK68)))
| ~ m1_subset_1(sF555,k1_zfmisc_1(sF558))
| ~ spl559_526
| ~ spl559_548
| ~ spl559_550 ),
inference(superposition,[],[f57587,f16709]) ).
fof(f57598,definition,
( spl559_3372
<=> m1_subset_1(sF555,k1_zfmisc_1(sF558)) ),
introduced(definition,[new_symbols(definition,[spl559_3372])],[avatar_definition]) ).
fof(f57600,plain,
( ~ m1_subset_1(sF555,k1_zfmisc_1(sF558))
| spl559_3372 ),
inference(avatar_component_clause,[],[f57598]) ).
fof(f57612,definition,
( spl559_3375
<=> sF556 = k10_relat_1(sF553,sF555) ),
introduced(definition,[new_symbols(definition,[spl559_3375])],[avatar_definition]) ).
fof(f57614,plain,
( sF556 = k10_relat_1(sF553,sF555)
| ~ spl559_3375 ),
inference(avatar_component_clause,[],[f57612]) ).
fof(f57617,plain,
( ~ spl559_3372
| ~ spl559_34
| spl559_3375
| ~ spl559_526
| ~ spl559_548
| ~ spl559_550 ),
inference(avatar_split_clause,[],[f57588,f16706,f16691,f16445,f57612,f11443,f57598]) ).
fof(f57619,plain,
( ~ r1_tarski(sF555,sF558)
| spl559_3372 ),
inference(resolution,[],[f57600,f7945]) ).
fof(f57622,plain,
( ~ spl559_1597
| spl559_3372 ),
inference(avatar_split_clause,[],[f57619,f57598,f26953]) ).
fof(f57624,plain,
( k1_funct_1(sF553,sK69) = sK191(sF555,sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| spl559_1597 ),
inference(resolution,[],[f26954,f16421]) ).
fof(f57629,plain,
( k3_tarski(sF555) = sK191(sF555,sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| spl559_1597 ),
inference(forward_demodulation,[],[f57624,f16407]) ).
fof(f57631,plain,
( ~ m1_subset_1(k3_tarski(sF555),sF558)
| r1_tarski(sF555,sF558)
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| ~ spl559_1595
| spl559_1597 ),
inference(superposition,[],[f26942,f57629]) ).
fof(f57635,plain,
( spl559_1597
| ~ spl559_525
| ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| ~ spl559_1595
| spl559_1597 ),
inference(avatar_split_clause,[],[f57631,f26953,f26941,f16396,f13191,f11576,f11335,f11310,f16441,f26953]) ).
fof(f57646,plain,
( ~ r1_tarski(sF556,sF556)
| ~ spl559_8
| spl559_143
| ~ spl559_424
| ~ spl559_3375 ),
inference(superposition,[],[f15640,f57614]) ).
fof(f57663,plain,
( ~ spl559_147
| ~ spl559_8
| spl559_143
| ~ spl559_424
| ~ spl559_3375 ),
inference(avatar_split_clause,[],[f57646,f57612,f15249,f12750,f11297,f12772]) ).
cnf(s5,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| spl559_8
| ~ spl559_9
| ~ spl559_10 ),
inference(sat_conversion,[],[f11314]) ).
cnf(s6,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| ~ spl559_9
| ~ spl559_10
| spl559_11 ),
inference(sat_conversion,[],[f11315]) ).
cnf(s12,plain,
~ spl559_14,
inference(sat_conversion,[],[f11358]) ).
cnf(s17,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_24
| ~ spl559_25
| spl559_26
| spl559_27 ),
inference(sat_conversion,[],[f11397]) ).
cnf(s20,plain,
( spl559_9
| ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_24
| ~ spl559_25
| spl559_26 ),
inference(sat_conversion,[],[f11410]) ).
cnf(s22,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_16
| spl559_31 ),
inference(sat_conversion,[],[f11423]) ).
cnf(s25,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| ~ spl559_9
| ~ spl559_10
| spl559_34 ),
inference(sat_conversion,[],[f11446]) ).
cnf(s29,plain,
( spl559_7
| ~ spl559_12 ),
inference(sat_conversion,[],[f11469]) ).
cnf(s31,plain,
spl559_12,
inference(sat_conversion,[],[f11472]) ).
cnf(s33,plain,
spl559_13,
inference(sat_conversion,[],[f11475]) ).
cnf(s35,plain,
spl559_16,
inference(sat_conversion,[],[f11478]) ).
cnf(s38,plain,
( ~ spl559_12
| spl559_41 ),
inference(sat_conversion,[],[f11499]) ).
cnf(s40,plain,
spl559_25,
inference(sat_conversion,[],[f11502]) ).
cnf(s42,plain,
spl559_37,
inference(sat_conversion,[],[f11505]) ).
cnf(s44,plain,
~ spl559_26,
inference(sat_conversion,[],[f11508]) ).
cnf(s49,plain,
( spl559_5
| ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_24
| ~ spl559_25
| spl559_26 ),
inference(sat_conversion,[],[f11543]) ).
cnf(s50,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_24
| ~ spl559_25
| spl559_26
| spl559_48 ),
inference(sat_conversion,[],[f11549]) ).
cnf(s54,plain,
( ~ spl559_7
| spl559_14
| ~ spl559_16
| spl559_51 ),
inference(sat_conversion,[],[f11580]) ).
cnf(s55,plain,
( spl559_6
| ~ spl559_41 ),
inference(sat_conversion,[],[f11582]) ).
cnf(s68,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_16
| spl559_62 ),
inference(sat_conversion,[],[f11697]) ).
cnf(s69,plain,
( ~ spl559_12
| spl559_24
| ~ spl559_37 ),
inference(sat_conversion,[],[f11701]) ).
cnf(s74,plain,
( spl559_10
| ~ spl559_27 ),
inference(sat_conversion,[],[f11731]) ).
cnf(s88,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_16
| spl559_78 ),
inference(sat_conversion,[],[f11998]) ).
cnf(s90,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_78
| spl559_80
| spl559_81 ),
inference(sat_conversion,[],[f12058]) ).
cnf(s111,plain,
( ~ spl559_11
| ~ spl559_96
| spl559_100 ),
inference(sat_conversion,[],[f12217]) ).
cnf(s159,plain,
( ~ spl559_27
| spl559_96 ),
inference(sat_conversion,[],[f12736]) ).
cnf(s173,plain,
( ~ spl559_12
| spl559_14
| spl559_154 ),
inference(sat_conversion,[],[f12819]) ).
cnf(s194,plain,
( ~ spl559_6
| spl559_26
| spl559_170 ),
inference(sat_conversion,[],[f12946]) ).
cnf(s203,plain,
( ~ spl559_12
| spl559_14
| spl559_183 ),
inference(sat_conversion,[],[f13021]) ).
cnf(s204,plain,
( ~ spl559_16
| ~ spl559_13
| spl559_14
| ~ spl559_12
| ~ spl559_16
| spl559_165
| ~ spl559_183 ),
inference(sat_conversion,[],[f13053]) ).
cnf(s205,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_16
| spl559_165
| ~ spl559_183 ),
inference(rat,[],[s204]) ).
cnf(s212,plain,
( ~ spl559_16
| ~ spl559_81
| ~ spl559_165 ),
inference(sat_conversion,[],[f13069]) ).
cnf(s213,plain,
( ~ spl559_16
| ~ spl559_80
| spl559_164
| ~ spl559_165 ),
inference(sat_conversion,[],[f13070]) ).
cnf(s225,plain,
( ~ spl559_7
| spl559_14
| spl559_193 ),
inference(sat_conversion,[],[f13193]) ).
cnf(s227,plain,
( ~ spl559_5
| ~ spl559_6
| ~ spl559_7
| ~ spl559_9
| ~ spl559_10
| spl559_195 ),
inference(sat_conversion,[],[f13221]) ).
cnf(s230,plain,
( ~ spl559_5
| ~ spl559_7
| ~ spl559_9
| ~ spl559_27
| ~ spl559_170
| spl559_200 ),
inference(sat_conversion,[],[f13280]) ).
cnf(s235,plain,
( ~ spl559_7
| ~ spl559_200
| spl559_202 ),
inference(sat_conversion,[],[f13305]) ).
cnf(s242,plain,
( ~ spl559_12
| spl559_14
| spl559_207 ),
inference(sat_conversion,[],[f13349]) ).
cnf(s243,plain,
( ~ spl559_7
| spl559_14
| ~ spl559_207
| spl559_208 ),
inference(sat_conversion,[],[f13358]) ).
cnf(s254,plain,
spl559_147,
inference(sat_conversion,[],[f13456]) ).
cnf(s258,plain,
( ~ spl559_31
| spl559_180 ),
inference(sat_conversion,[],[f13485]) ).
cnf(s262,plain,
( ~ spl559_7
| spl559_14
| ~ spl559_223 ),
inference(sat_conversion,[],[f13510]) ).
cnf(s322,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_24
| ~ spl559_25
| spl559_26
| spl559_74 ),
inference(sat_conversion,[],[f13996]) ).
cnf(s408,plain,
( ~ spl559_5
| ~ spl559_9
| ~ spl559_10
| spl559_223
| spl559_363 ),
inference(sat_conversion,[],[f14674]) ).
cnf(s475,plain,
( ~ spl559_5
| ~ spl559_96
| spl559_424 ),
inference(sat_conversion,[],[f15251]) ).
cnf(s526,plain,
( ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_143
| ~ spl559_154
| spl559_162
| ~ spl559_164 ),
inference(sat_conversion,[],[f15616]) ).
cnf(s531,plain,
~ spl559_162,
inference(sat_conversion,[],[f15637]) ).
cnf(s639,plain,
( ~ spl559_5
| ~ spl559_96
| ~ spl559_202
| spl559_522 ),
inference(sat_conversion,[],[f16398]) ).
cnf(s642,plain,
( ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_208
| ~ spl559_522
| ~ spl559_525
| spl559_526 ),
inference(sat_conversion,[],[f16448]) ).
cnf(s662,plain,
( ~ spl559_12
| ~ spl559_13
| spl559_14
| ~ spl559_25
| spl559_26
| ~ spl559_37
| ~ spl559_74
| ~ spl559_195
| spl559_550 ),
inference(sat_conversion,[],[f16708]) ).
cnf(s1085,plain,
( ~ spl559_5
| ~ spl559_9
| ~ spl559_11
| ~ spl559_16
| ~ spl559_25
| spl559_26
| ~ spl559_27
| ~ spl559_37
| ~ spl559_48
| ~ spl559_51
| ~ spl559_62
| ~ spl559_193
| ~ spl559_363
| ~ spl559_522
| spl559_912 ),
inference(sat_conversion,[],[f20459]) ).
cnf(s1836,plain,
( ~ spl559_7
| spl559_14
| spl559_1595 ),
inference(sat_conversion,[],[f26943]) ).
cnf(s4950,plain,
( ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_180
| ~ spl559_193
| spl559_367
| ~ spl559_522
| ~ spl559_912 ),
inference(sat_conversion,[],[f56780]) ).
cnf(s4970,plain,
( ~ spl559_912
| ~ spl559_180
| spl559_548
| ~ spl559_80
| ~ spl559_912 ),
inference(sat_conversion,[],[f56854]) ).
cnf(s4971,plain,
( ~ spl559_80
| ~ spl559_180
| spl559_548
| ~ spl559_912 ),
inference(rat,[],[s4970]) ).
cnf(s4974,plain,
( ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_367
| ~ spl559_522
| spl559_525 ),
inference(sat_conversion,[],[f56862]) ).
cnf(s5024,plain,
( ~ spl559_34
| ~ spl559_526
| ~ spl559_548
| ~ spl559_550
| ~ spl559_3372
| spl559_3375 ),
inference(sat_conversion,[],[f57617]) ).
cnf(s5026,plain,
( ~ spl559_1597
| spl559_3372 ),
inference(sat_conversion,[],[f57622]) ).
cnf(s5029,plain,
( spl559_1597
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| ~ spl559_525
| ~ spl559_1595
| ~ spl559_11
| spl559_1597 ),
inference(sat_conversion,[],[f57635]) ).
cnf(s5030,plain,
( ~ spl559_11
| ~ spl559_16
| ~ spl559_51
| ~ spl559_193
| ~ spl559_522
| ~ spl559_525
| ~ spl559_1595
| spl559_1597 ),
inference(rat,[],[s5029]) ).
cnf(s5036,plain,
( ~ spl559_8
| spl559_143
| ~ spl559_147
| ~ spl559_424
| ~ spl559_3375 ),
inference(sat_conversion,[],[f57663]) ).
cnf(s5049,plain,
( ~ spl559_8
| ~ spl559_16
| ~ spl559_100
| ~ spl559_143
| ~ spl559_154
| ~ spl559_164 ),
inference(rat,[],[s526,s531]) ).
cnf(s5069,plain,
spl559_24,
inference(rat,[],[s69,s42,s31]) ).
cnf(s5070,plain,
spl559_41,
inference(rat,[],[s38,s31]) ).
cnf(s5088,plain,
spl559_6,
inference(rat,[],[s55,s5070]) ).
cnf(s5097,plain,
spl559_170,
inference(rat,[],[s194,s44,s5088]) ).
cnf(s5099,plain,
spl559_7,
inference(rat,[],[s29,s31]) ).
cnf(s5112,plain,
( ~ spl559_5
| ~ spl559_9
| ~ spl559_10
| spl559_34 ),
inference(rat,[],[s25,s5099,s5088]) ).
cnf(s5116,plain,
( spl559_14
| spl559_31 ),
inference(rat,[],[s22,s35,s33,s31]) ).
cnf(s5118,plain,
( spl559_9
| spl559_14 ),
inference(rat,[],[s20,s44,s40,s5069,s33,s31]) ).
cnf(s5120,plain,
( spl559_14
| spl559_27 ),
inference(rat,[],[s17,s44,s40,s5069,s33,s31]) ).
cnf(s5125,plain,
spl559_1595,
inference(rat,[],[s1836,s5099,s12]) ).
cnf(s5135,plain,
~ spl559_223,
inference(rat,[],[s262,s5099,s12]) ).
cnf(s5136,plain,
spl559_207,
inference(rat,[],[s242,s31,s12]) ).
cnf(s5137,plain,
spl559_193,
inference(rat,[],[s225,s5099,s12]) ).
cnf(s5138,plain,
spl559_183,
inference(rat,[],[s203,s31,s12]) ).
cnf(s5140,plain,
spl559_154,
inference(rat,[],[s173,s31,s12]) ).
cnf(s5150,plain,
spl559_51,
inference(rat,[],[s54,s5099,s35,s12]) ).
cnf(s5229,plain,
spl559_74,
inference(rat,[],[s322,s5069,s44,s40,s31,s33,s12]) ).
cnf(s5247,plain,
spl559_165,
inference(rat,[],[s205,s5138,s31,s35,s33,s12]) ).
cnf(s5258,plain,
spl559_78,
inference(rat,[],[s88,s31,s35,s33,s12]) ).
cnf(s5260,plain,
spl559_62,
inference(rat,[],[s68,s31,s35,s33,s12]) ).
cnf(s5264,plain,
spl559_48,
inference(rat,[],[s50,s31,s44,s40,s5069,s33,s12]) ).
cnf(s5266,plain,
spl559_5,
inference(rat,[],[s49,s44,s40,s5069,s31,s33,s12]) ).
cnf(s5270,plain,
spl559_31,
inference(rat,[],[s5116,s12]) ).
cnf(s5272,plain,
spl559_9,
inference(rat,[],[s5118,s12]) ).
cnf(s5275,plain,
spl559_27,
inference(rat,[],[s5120,s12]) ).
cnf(s5282,plain,
spl559_208,
inference(rat,[],[s243,s12,s5099,s5136]) ).
cnf(s5429,plain,
~ spl559_81,
inference(rat,[],[s212,s35,s5247]) ).
cnf(s5457,plain,
spl559_80,
inference(rat,[],[s90,s5429,s12,s31,s33,s5258]) ).
cnf(s5477,plain,
spl559_180,
inference(rat,[],[s258,s5270]) ).
cnf(s5485,plain,
spl559_200,
inference(rat,[],[s230,s5266,s5097,s5275,s5099,s5272]) ).
cnf(s5486,plain,
spl559_96,
inference(rat,[],[s159,s5275]) ).
cnf(s5487,plain,
spl559_10,
inference(rat,[],[s74,s5275]) ).
cnf(s5631,plain,
spl559_164,
inference(rat,[],[s213,s5247,s35,s5457]) ).
cnf(s5650,plain,
spl559_202,
inference(rat,[],[s235,s5099,s5485]) ).
cnf(s5661,plain,
spl559_424,
inference(rat,[],[s475,s5266,s5486]) ).
cnf(s5670,plain,
spl559_363,
inference(rat,[],[s408,s5272,s5135,s5266,s5487]) ).
cnf(s5672,plain,
spl559_195,
inference(rat,[],[s227,s5272,s5266,s5099,s5088,s5487]) ).
cnf(s5673,plain,
spl559_34,
inference(rat,[],[s5112,s5272,s5266,s5487]) ).
cnf(s5889,plain,
spl559_522,
inference(rat,[],[s639,s5486,s5266,s5650]) ).
cnf(s5909,plain,
spl559_550,
inference(rat,[],[s662,s5229,s12,s31,s42,s44,s40,s33,s5672]) ).
cnf(s6239,plain,
spl559_11,
inference(rat,[],[s6,s5487,s5272,s5099,s5088,s5266]) ).
cnf(s6250,plain,
spl559_100,
inference(rat,[],[s111,s5486,s6239]) ).
cnf(s6252,plain,
spl559_912,
inference(rat,[],[s1085,s5670,s5889,s5272,s5137,s5260,s5150,s5264,s42,s5275,s44,s40,s35,s5266,s6239]) ).
cnf(s6260,plain,
spl559_548,
inference(rat,[],[s4971,s5477,s5457,s6252]) ).
cnf(s6262,plain,
spl559_367,
inference(rat,[],[s4950,s6239,s5889,s5477,s5137,s5150,s35,s6252]) ).
cnf(s6264,plain,
spl559_525,
inference(rat,[],[s4974,s6239,s5889,s5150,s5137,s35,s6262]) ).
cnf(s6275,plain,
spl559_1597,
inference(rat,[],[s5030,s6239,s5125,s5889,s5150,s5137,s35,s6264]) ).
cnf(s6276,plain,
spl559_526,
inference(rat,[],[s642,s6239,s5889,s5150,s5282,s5137,s35,s6264]) ).
cnf(s6277,plain,
spl559_3372,
inference(rat,[],[s5026,s6275]) ).
cnf(s6281,plain,
spl559_3375,
inference(rat,[],[s5024,s6276,s6260,s5909,s5673,s6277]) ).
cnf(s6283,plain,
spl559_8,
inference(rat,[],[s5,s5487,s5272,s5099,s5088,s5266]) ).
cnf(s6285,plain,
spl559_143,
inference(rat,[],[s5036,s6281,s5661,s254,s6283]) ).
cnf(s6293,plain,
$false,
inference(rat,[],[s5049,s5631,s5140,s6250,s35,s6285,s6283]) ).
fof(f57673,plain,
$false,
inference(avatar_sat_refutation,[],[s6293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP036+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n016.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 19:04:48 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 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
% 10.83/2.36 % (3899160)Detected formulas, will run a generic FOF schedule.
% 10.83/2.36 % (3899168)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3467944733:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.83/2.36 % (3899168)Refutation not found, incomplete strategy
% 10.83/2.36 % (3899168)------------------------------
% 10.83/2.36 % (3899168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.36 % (3899168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.36 % (3899168)CaDiCaL version: 2.1.3
% 10.83/2.36 % (3899168)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.36 % (3899168)Time elapsed: 0.017 s
% 10.83/2.36 % (3899168)Peak memory usage: 93 MB
% 10.83/2.36 % (3899168)Instructions burned: 41 (million)
% 10.83/2.36 % (3899166)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=1887351886:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.83/2.36 % (3899169)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4071455570:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.83/2.36 % (3899165)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=4239065902:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.83/2.36 % (3899167)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=2848810334:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.83/2.36 % (3899170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2614662371:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.83/2.36 % (3899171)dis-21_1_sil=8000:lcm=predicate:random_seed=915566401: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)
% 10.83/2.36 % (3899169)Instruction limit reached!
% 10.83/2.36 % (3899169)------------------------------
% 10.83/2.36 % (3899169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.36 % (3899169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.36 % (3899169)CaDiCaL version: 2.1.3
% 10.83/2.36 % (3899169)Termination reason: Instruction limit
% 10.83/2.36 % (3899169)Termination phase: Property scanning
% 10.83/2.36 % (3899169)Time elapsed: 0.071 s
% 10.83/2.36 % (3899169)Peak memory usage: 94 MB
% 10.83/2.36 % (3899169)Instructions burned: 120 (million)
% 10.83/2.36 % (3899171)Instruction limit reached!
% 10.83/2.36 % (3899171)------------------------------
% 10.83/2.36 % (3899171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.36 % (3899171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.36 % (3899171)CaDiCaL version: 2.1.3
% 10.83/2.36 % (3899171)Termination reason: Instruction limit
% 10.83/2.36 % (3899171)Termination phase: Preprocessing 3
% 10.83/2.36 % (3899171)Time elapsed: 0.091 s
% 10.83/2.36 % (3899171)Peak memory usage: 95 MB
% 10.83/2.36 % (3899171)Instructions burned: 129 (million)
% 10.83/2.36 % (3899170)Instruction limit reached!
% 10.83/2.36 % (3899170)------------------------------
% 10.83/2.36 % (3899170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.36 % (3899170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.36 % (3899170)CaDiCaL version: 2.1.3
% 10.83/2.36 % (3899170)Termination reason: Instruction limit
% 10.83/2.36 % (3899170)Termination phase: Preprocessing 3
% 10.83/2.36 % (3899170)Time elapsed: 0.095 s
% 10.83/2.36 % (3899170)Peak memory usage: 94 MB
% 10.83/2.36 % (3899170)Instructions burned: 139 (million)
% 10.83/2.36 % (3899168)------------------------------
% 10.83/2.36 % (3899168)------------------------------
% 10.83/2.36 % (3899179)lrs+10_1_sil=8000:sp=occurrence:random_seed=279059110:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.83/2.36 % (3899182)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=4201338952:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.83/2.36 % (3899180)lrs+10_1_sil=32000:urr=on:br=off:random_seed=912730310:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.83/2.36 % (3899181)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3538072434:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.82/3.30 % (3899182)Instruction limit reached!
% 17.82/3.30 % (3899182)------------------------------
% 17.82/3.30 % (3899182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899182)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899182)Termination reason: Instruction limit
% 17.82/3.30 % (3899182)Termination phase: Property scanning
% 17.82/3.30 % (3899182)Time elapsed: 0.078 s
% 17.82/3.30 % (3899182)Peak memory usage: 98 MB
% 17.82/3.30 % (3899182)Instructions burned: 251 (million)
% 17.82/3.30 % (3899180)Instruction limit reached!
% 17.82/3.30 % (3899180)------------------------------
% 17.82/3.30 % (3899180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899180)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899180)Termination reason: Instruction limit
% 17.82/3.30 % (3899180)Termination phase: Saturation
% 17.82/3.30 % (3899180)Time elapsed: 0.088 s
% 17.82/3.30 % (3899180)Peak memory usage: 94 MB
% 17.82/3.30 % (3899180)Instructions burned: 158 (million)
% 17.82/3.30 % (3899187)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2981418456:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.82/3.30 % (3899179)Instruction limit reached!
% 17.82/3.30 % (3899179)------------------------------
% 17.82/3.30 % (3899179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899179)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899179)Termination reason: Instruction limit
% 17.82/3.30 % (3899179)Termination phase: Saturation
% 17.82/3.30 % (3899179)Time elapsed: 0.176 s
% 17.82/3.30 % (3899179)Peak memory usage: 98 MB
% 17.82/3.30 % (3899179)Instructions burned: 286 (million)
% 17.82/3.30 % (3899181)Instruction limit reached!
% 17.82/3.30 % (3899181)------------------------------
% 17.82/3.30 % (3899181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899181)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899181)Termination reason: Instruction limit
% 17.82/3.30 % (3899181)Termination phase: Saturation
% 17.82/3.30 % (3899181)Time elapsed: 0.200 s
% 17.82/3.30 % (3899181)Peak memory usage: 96 MB
% 17.82/3.30 % (3899181)Instructions burned: 327 (million)
% 17.82/3.30 % (3899188)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2679234713:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.82/3.30 % (3899187)Instruction limit reached!
% 17.82/3.30 % (3899187)------------------------------
% 17.82/3.30 % (3899187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899187)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899187)Termination reason: Instruction limit
% 17.82/3.30 % (3899187)Termination phase: Saturation
% 17.82/3.30 % (3899187)Time elapsed: 0.090 s
% 17.82/3.30 % (3899187)Peak memory usage: 98 MB
% 17.82/3.30 % (3899187)Instructions burned: 295 (million)
% 17.82/3.30 % (3899190)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=137175886:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.82/3.30 % (3899193)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=941596690:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.82/3.30 % (3899190)Instruction limit reached!
% 17.82/3.30 % (3899190)------------------------------
% 17.82/3.30 % (3899190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.30 % (3899190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.30 % (3899190)CaDiCaL version: 2.1.3
% 17.82/3.30 % (3899190)Termination reason: Instruction limit
% 17.82/3.30 % (3899190)Termination phase: Function definition elimination
% 17.82/3.30 % (3899190)Time elapsed: 0.072 s
% 17.82/3.30 % (3899190)Peak memory usage: 94 MB
% 17.82/3.30 % (3899190)Instructions burned: 115 (million)
% 17.82/3.30 % (3899191)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2695502525:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.82/3.30 % (3899193)Instruction limit reached!
% 17.82/3.30 % (3899193)------------------------------
% 41.44/6.60 % (3899193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899193)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899193)Termination reason: Instruction limit
% 41.44/6.60 % (3899193)Termination phase: Preprocessing 3
% 41.44/6.60 % (3899193)Time elapsed: 0.031 s
% 41.44/6.60 % (3899193)Peak memory usage: 91 MB
% 41.44/6.60 % (3899193)Instructions burned: 115 (million)
% 41.44/6.60 % (3899191)Instruction limit reached!
% 41.44/6.60 % (3899191)------------------------------
% 41.44/6.60 % (3899191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899191)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899191)Termination reason: Instruction limit
% 41.44/6.60 % (3899191)Termination phase: Preprocessing 3
% 41.44/6.60 % (3899191)Time elapsed: 0.088 s
% 41.44/6.60 % (3899191)Peak memory usage: 96 MB
% 41.44/6.60 % (3899191)Instructions burned: 128 (million)
% 41.44/6.60 % (3899198)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2055679854:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 41.44/6.60 % (3899197)lrs+10_1_sil=8000:sp=occurrence:random_seed=2326523917:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 41.44/6.60 % (3899199)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3303891859:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 41.44/6.60 % (3899198)Instruction limit reached!
% 41.44/6.60 % (3899198)------------------------------
% 41.44/6.60 % (3899198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899198)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899198)Termination reason: Instruction limit
% 41.44/6.60 % (3899198)Termination phase: Saturation
% 41.44/6.60 % (3899198)Time elapsed: 0.142 s
% 41.44/6.60 % (3899198)Peak memory usage: 98 MB
% 41.44/6.60 % (3899198)Instructions burned: 438 (million)
% 41.44/6.60 % (3899203)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3587304355:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 41.44/6.60 % (3899203)Instruction limit reached!
% 41.44/6.60 % (3899203)------------------------------
% 41.44/6.60 % (3899203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899203)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899203)Termination reason: Instruction limit
% 41.44/6.60 % (3899203)Termination phase: Saturation
% 41.44/6.60 % (3899203)Time elapsed: 0.045 s
% 41.44/6.60 % (3899203)Peak memory usage: 96 MB
% 41.44/6.60 % (3899203)Instructions burned: 136 (million)
% 41.44/6.60 % (3899205)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=56149787:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 41.44/6.60 % (3899205)Instruction limit reached!
% 41.44/6.60 % (3899205)------------------------------
% 41.44/6.60 % (3899205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899205)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899205)Termination reason: Instruction limit
% 41.44/6.60 % (3899205)Termination phase: Saturation
% 41.44/6.60 % (3899205)Time elapsed: 0.183 s
% 41.44/6.60 % (3899205)Peak memory usage: 106 MB
% 41.44/6.60 % (3899205)Instructions burned: 595 (million)
% 41.44/6.60 % (3899197)Instruction limit reached!
% 41.44/6.60 % (3899197)------------------------------
% 41.44/6.60 % (3899197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.44/6.60 % (3899197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.44/6.60 % (3899197)CaDiCaL version: 2.1.3
% 41.44/6.60 % (3899197)Termination reason: Instruction limit
% 41.44/6.60 % (3899197)Termination phase: Saturation
% 41.44/6.60 % (3899197)Time elapsed: 0.551 s
% 41.44/6.60 % (3899197)Peak memory usage: 108 MB
% 41.44/6.60 % (3899197)Instructions burned: 907 (million)
% 41.44/6.60 % (3899207)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2468957527:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 41.44/6.60 % (3899208)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=2663855709:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 78.26/11.89 % (3899208)Instruction limit reached!
% 78.26/11.89 % (3899208)------------------------------
% 78.26/11.89 % (3899208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.26/11.89 % (3899208)CaDiCaL version: 2.1.3
% 78.26/11.89 % (3899208)Termination reason: Instruction limit
% 78.26/11.89 % (3899208)Termination phase: Preprocessing 3
% 78.26/11.89 % (3899208)Time elapsed: 0.079 s
% 78.26/11.89 % (3899208)Peak memory usage: 93 MB
% 78.26/11.89 % (3899208)Instructions burned: 125 (million)
% 78.26/11.89 % (3899211)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1942464368:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 78.26/11.89 % (3899211)Instruction limit reached!
% 78.26/11.89 % (3899211)------------------------------
% 78.26/11.89 % (3899211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.26/11.89 % (3899211)CaDiCaL version: 2.1.3
% 78.26/11.89 % (3899211)Termination reason: Instruction limit
% 78.26/11.89 % (3899211)Termination phase: Unused predicate definition removal
% 78.26/11.89 % (3899211)Time elapsed: 0.069 s
% 78.26/11.89 % (3899211)Peak memory usage: 89 MB
% 78.26/11.89 % (3899211)Instructions burned: 134 (million)
% 78.26/11.89 % (3899188)Instruction limit reached!
% 78.26/11.89 % (3899188)------------------------------
% 78.26/11.89 % (3899188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.26/11.89 % (3899188)CaDiCaL version: 2.1.3
% 78.26/11.89 % (3899188)Termination reason: Instruction limit
% 78.26/11.89 % (3899188)Termination phase: Saturation
% 78.26/11.89 % (3899188)Time elapsed: 1.243 s
% 78.26/11.89 % (3899188)Peak memory usage: 229 MB
% 78.26/11.89 % (3899188)Instructions burned: 2351 (million)
% 78.26/11.89 % (3899213)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3309637729:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 78.26/11.89 % (3899214)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2770648375:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 78.26/11.89 % (3899213)Refutation not found, incomplete strategy
% 78.26/11.89 % (3899213)------------------------------
% 78.26/11.89 % (3899213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.26/11.89 % (3899213)CaDiCaL version: 2.1.3
% 78.26/11.89 % (3899213)Termination reason: Refutation not found, incomplete strategy
% 78.26/11.89 % (3899213)Time elapsed: 0.049 s
% 78.26/11.89 % (3899213)Peak memory usage: 94 MB
% 78.26/11.89 % (3899213)Instructions burned: 77 (million)
% 78.26/11.89 % (3899214)Instruction limit reached!
% 78.26/11.89 % (3899214)------------------------------
% 78.26/11.89 % (3899214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.26/11.89 % (3899214)CaDiCaL version: 2.1.3
% 78.26/11.89 % (3899214)Termination reason: Instruction limit
% 78.26/11.89 % (3899214)Termination phase: Saturation
% 78.26/11.89 % (3899214)Time elapsed: 0.138 s
% 78.26/11.89 % (3899214)Peak memory usage: 98 MB
% 78.26/11.89 % (3899214)Instructions burned: 432 (million)
% 78.26/11.89 % (3899217)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=1691750859:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 78.26/11.89 % (3899213)------------------------------
% 78.26/11.89 % (3899213)------------------------------
% 78.26/11.89 % (3899219)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=3731280550:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 78.26/11.89 % (3899219)Instruction limit reached!
% 78.26/11.89 % (3899219)------------------------------
% 78.26/11.89 % (3899219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.26/11.89 % (3899219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899219)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899219)Termination reason: Instruction limit
% 96.69/14.48 % (3899219)Termination phase: Preprocessing 3
% 96.69/14.48 % (3899219)Time elapsed: 0.101 s
% 96.69/14.48 % (3899219)Peak memory usage: 96 MB
% 96.69/14.48 % (3899219)Instructions burned: 150 (million)
% 96.69/14.48 % (3899221)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1947820579:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 96.69/14.48 % (3899199)Instruction limit reached!
% 96.69/14.48 % (3899199)------------------------------
% 96.69/14.48 % (3899199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.69/14.48 % (3899199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899199)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899199)Termination reason: Instruction limit
% 96.69/14.48 % (3899199)Termination phase: Saturation
% 96.69/14.48 % (3899199)Time elapsed: 2.720 s
% 96.69/14.48 % (3899199)Peak memory usage: 192 MB
% 96.69/14.48 % (3899199)Instructions burned: 5203 (million)
% 96.69/14.48 % (3899223)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3007390718:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 96.69/14.48 % (3899223)Instruction limit reached!
% 96.69/14.48 % (3899223)------------------------------
% 96.69/14.48 % (3899223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.69/14.48 % (3899223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899223)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899223)Termination reason: Instruction limit
% 96.69/14.48 % (3899223)Termination phase: Saturation
% 96.69/14.48 % (3899223)Time elapsed: 0.344 s
% 96.69/14.48 % (3899223)Peak memory usage: 106 MB
% 96.69/14.48 % (3899223)Instructions burned: 669 (million)
% 96.69/14.48 % (3899217)Instruction limit reached!
% 96.69/14.48 % (3899217)------------------------------
% 96.69/14.48 % (3899217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.69/14.48 % (3899217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899217)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899217)Termination reason: Instruction limit
% 96.69/14.48 % (3899217)Termination phase: Saturation
% 96.69/14.48 % (3899217)Time elapsed: 1.998 s
% 96.69/14.48 % (3899217)Peak memory usage: 225 MB
% 96.69/14.48 % (3899217)Instructions burned: 6062 (million)
% 96.69/14.48 % (3899226)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3229179196:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2956 on theBenchmark for (2956ds/193Mi)
% 96.69/14.48 % (3899225)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1448107900:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 96.69/14.48 % (3899226)Instruction limit reached!
% 96.69/14.48 % (3899226)------------------------------
% 96.69/14.48 % (3899226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.69/14.48 % (3899226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899226)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899226)Termination reason: Instruction limit
% 96.69/14.48 % (3899226)Termination phase: Saturation
% 96.69/14.48 % (3899226)Time elapsed: 0.061 s
% 96.69/14.48 % (3899226)Peak memory usage: 97 MB
% 96.69/14.48 % (3899226)Instructions burned: 195 (million)
% 96.69/14.48 % (3899229)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2837921897:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2955 on theBenchmark for (2955ds/4850Mi)
% 96.69/14.48 % (3899225)Instruction limit reached!
% 96.69/14.48 % (3899225)------------------------------
% 96.69/14.48 % (3899225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.69/14.48 % (3899225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.69/14.48 % (3899225)CaDiCaL version: 2.1.3
% 96.69/14.48 % (3899225)Termination reason: Instruction limit
% 96.69/14.48 % (3899225)Termination phase: NewCNF
% 96.69/14.48 % (3899225)Time elapsed: 0.125 s
% 96.69/14.48 % (3899225)Peak memory usage: 98 MB
% 96.69/14.48 % (3899225)Instructions burned: 185 (million)
% 96.69/14.48 % (3899231)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=901584793:i=12111:sd=1:ss=included_2954 on theBenchmark for (2954ds/12111Mi)
% 96.69/14.48 % (3899229)Instruction limit reached!
% 132.22/19.43 % (3899229)------------------------------
% 132.22/19.43 % (3899229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899229)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899229)Termination reason: Instruction limit
% 132.22/19.43 % (3899229)Termination phase: Saturation
% 132.22/19.43 % (3899229)Time elapsed: 1.355 s
% 132.22/19.43 % (3899229)Peak memory usage: 124 MB
% 132.22/19.43 % (3899229)Instructions burned: 4850 (million)
% 132.22/19.43 % (3899233)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=11264659:i=319:kws=precedence:fsr=off_2940 on theBenchmark for (2940ds/319Mi)
% 132.22/19.43 % (3899233)Instruction limit reached!
% 132.22/19.43 % (3899233)------------------------------
% 132.22/19.43 % (3899233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899233)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899233)Termination reason: Instruction limit
% 132.22/19.43 % (3899233)Termination phase: Property scanning
% 132.22/19.43 % (3899233)Time elapsed: 0.089 s
% 132.22/19.43 % (3899233)Peak memory usage: 99 MB
% 132.22/19.43 % (3899233)Instructions burned: 324 (million)
% 132.22/19.43 % (3899235)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=364755621:i=2064:ep=RST_2938 on theBenchmark for (2938ds/2064Mi)
% 132.22/19.43 % (3899235)Instruction limit reached!
% 132.22/19.43 % (3899235)------------------------------
% 132.22/19.43 % (3899235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899235)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899235)Termination reason: Instruction limit
% 132.22/19.43 % (3899235)Termination phase: Saturation
% 132.22/19.43 % (3899235)Time elapsed: 0.564 s
% 132.22/19.43 % (3899235)Peak memory usage: 124 MB
% 132.22/19.43 % (3899235)Instructions burned: 2064 (million)
% 132.22/19.43 % (3899237)dis-1011_128_sil=32000:random_seed=1562801019:i=3706:ep=RST:av=off_2932 on theBenchmark for (2932ds/3706Mi)
% 132.22/19.43 % (3899237)Instruction limit reached!
% 132.22/19.43 % (3899237)------------------------------
% 132.22/19.43 % (3899237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899237)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899237)Termination reason: Instruction limit
% 132.22/19.43 % (3899237)Termination phase: Saturation
% 132.22/19.43 % (3899237)Time elapsed: 1.191 s
% 132.22/19.43 % (3899237)Peak memory usage: 136 MB
% 132.22/19.43 % (3899237)Instructions burned: 3708 (million)
% 132.22/19.43 % (3899239)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2559878384:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2919 on theBenchmark for (2919ds/757Mi)
% 132.22/19.43 % (3899239)Instruction limit reached!
% 132.22/19.43 % (3899239)------------------------------
% 132.22/19.43 % (3899239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899239)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899239)Termination reason: Instruction limit
% 132.22/19.43 % (3899239)Termination phase: Saturation
% 132.22/19.43 % (3899239)Time elapsed: 0.280 s
% 132.22/19.43 % (3899239)Peak memory usage: 104 MB
% 132.22/19.43 % (3899239)Instructions burned: 758 (million)
% 132.22/19.43 % (3899241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3177026937:i=13913:ss=axioms:sgt=8_2914 on theBenchmark for (2914ds/13913Mi)
% 132.22/19.43 % (3899207)Instruction limit reached!
% 132.22/19.43 % (3899207)------------------------------
% 132.22/19.43 % (3899207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.22/19.43 % (3899207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.22/19.43 % (3899207)CaDiCaL version: 2.1.3
% 132.22/19.43 % (3899207)Termination reason: Instruction limit
% 132.22/19.43 % (3899207)Termination phase: Saturation
% 132.22/19.43 % (3899207)Time elapsed: 7.973 s
% 132.22/19.43 % (3899207)Peak memory usage: 243 MB
% 132.22/19.43 % (3899207)Instructions burned: 13193 (million)
% 132.22/19.43 % (3899243)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=394815348:i=9925:aac=none_2903 on theBenchmark for (2903ds/9925Mi)
% 132.22/19.43 % (3899221)Instruction limit reached!
% 76.84/19.85 % (3899221)------------------------------
% 76.84/19.85 % (3899221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899221)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899221)Termination reason: Instruction limit
% 76.84/19.85 % (3899221)Termination phase: Saturation
% 76.84/19.85 % (3899221)Time elapsed: 8.452 s
% 76.84/19.85 % (3899221)Peak memory usage: 243 MB
% 76.84/19.85 % (3899221)Instructions burned: 14155 (million)
% 76.84/19.85 % (3899245)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1159489760:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2887 on theBenchmark for (2887ds/2479Mi)
% 76.84/19.85 % (3899245)Instruction limit reached!
% 76.84/19.85 % (3899245)------------------------------
% 76.84/19.85 % (3899245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899245)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899245)Termination reason: Instruction limit
% 76.84/19.85 % (3899245)Termination phase: Saturation
% 76.84/19.85 % (3899245)Time elapsed: 1.344 s
% 76.84/19.85 % (3899245)Peak memory usage: 110 MB
% 76.84/19.85 % (3899245)Instructions burned: 2479 (million)
% 76.84/19.85 % (3899247)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=985455732:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2872 on theBenchmark for (2872ds/440Mi)
% 76.84/19.85 % (3899247)Instruction limit reached!
% 76.84/19.85 % (3899247)------------------------------
% 76.84/19.85 % (3899247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899247)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899247)Termination reason: Instruction limit
% 76.84/19.85 % (3899247)Termination phase: Property scanning
% 76.84/19.85 % (3899247)Time elapsed: 0.228 s
% 76.84/19.85 % (3899247)Peak memory usage: 102 MB
% 76.84/19.85 % (3899247)Instructions burned: 442 (million)
% 76.84/19.85 % (3899241)Instruction limit reached!
% 76.84/19.85 % (3899241)------------------------------
% 76.84/19.85 % (3899241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899241)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899241)Termination reason: Instruction limit
% 76.84/19.85 % (3899241)Termination phase: Saturation
% 76.84/19.85 % (3899241)Time elapsed: 4.512 s
% 76.84/19.85 % (3899241)Peak memory usage: 240 MB
% 76.84/19.85 % (3899241)Instructions burned: 13916 (million)
% 76.84/19.85 % (3899250)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1838411193:cts=off:i=3034:av=off:er=known:fsd=on_2868 on theBenchmark for (2868ds/3034Mi)
% 76.84/19.85 % (3899249)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=547169359:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2869 on theBenchmark for (2869ds/11145Mi)
% 76.84/19.85 % (3899231)Instruction limit reached!
% 76.84/19.85 % (3899231)------------------------------
% 76.84/19.85 % (3899231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899231)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899231)Termination reason: Instruction limit
% 76.84/19.85 % (3899231)Termination phase: Saturation
% 76.84/19.85 % (3899231)Time elapsed: 8.522 s
% 76.84/19.85 % (3899231)Peak memory usage: 211 MB
% 76.84/19.85 % (3899231)Instructions burned: 12112 (million)
% 76.84/19.85 % (3899253)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1227197445:st=2:s2a=on:i=524:s2at=2:ss=axioms_2867 on theBenchmark for (2867ds/524Mi)
% 76.84/19.85 % (3899253)Instruction limit reached!
% 76.84/19.85 % (3899253)------------------------------
% 76.84/19.85 % (3899253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899253)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899253)Termination reason: Instruction limit
% 76.84/19.85 % (3899253)Termination phase: Saturation
% 76.84/19.85 % (3899253)Time elapsed: 0.285 s
% 76.84/19.85 % (3899253)Peak memory usage: 102 MB
% 76.84/19.85 % (3899253)Instructions burned: 524 (million)
% 76.84/19.85 % (3899255)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1489629497:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2863 on theBenchmark for (2863ds/1016Mi)
% 76.84/19.85 % (3899250)Instruction limit reached!
% 76.84/19.85 % (3899250)------------------------------
% 76.84/19.85 % (3899250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899250)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899250)Termination reason: Instruction limit
% 76.84/19.85 % (3899250)Termination phase: Saturation
% 76.84/19.85 % (3899250)Time elapsed: 1.038 s
% 76.84/19.85 % (3899250)Peak memory usage: 226 MB
% 76.84/19.85 % (3899250)Instructions burned: 3037 (million)
% 76.84/19.85 % (3899257)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3064881087:i=14123:bd=preordered:ins=4_2857 on theBenchmark for (2857ds/14123Mi)
% 76.84/19.85 % (3899255)Instruction limit reached!
% 76.84/19.85 % (3899255)------------------------------
% 76.84/19.85 % (3899255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899255)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899255)Termination reason: Instruction limit
% 76.84/19.85 % (3899255)Termination phase: Saturation
% 76.84/19.85 % (3899255)Time elapsed: 0.568 s
% 76.84/19.85 % (3899255)Peak memory usage: 101 MB
% 76.84/19.85 % (3899255)Instructions burned: 1016 (million)
% 76.84/19.85 % (3899259)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1848938431:i=5781:kws=precedence:bd=all:rawr=on_2856 on theBenchmark for (2856ds/5781Mi)
% 76.84/19.85 % (3899243)Instruction limit reached!
% 76.84/19.85 % (3899243)------------------------------
% 76.84/19.85 % (3899243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899243)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899243)Termination reason: Instruction limit
% 76.84/19.85 % (3899243)Termination phase: Saturation
% 76.84/19.85 % (3899243)Time elapsed: 5.508 s
% 76.84/19.85 % (3899243)Peak memory usage: 236 MB
% 76.84/19.85 % (3899243)Instructions burned: 9925 (million)
% 76.84/19.85 % (3899261)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4219406449:i=2448:gtgl=5:bd=preordered:gtg=all_2847 on theBenchmark for (2847ds/2448Mi)
% 76.84/19.85 % (3899261)Instruction limit reached!
% 76.84/19.85 % (3899261)------------------------------
% 76.84/19.85 % (3899261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899261)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899261)Termination reason: Instruction limit
% 76.84/19.85 % (3899261)Termination phase: Saturation
% 76.84/19.85 % (3899261)Time elapsed: 1.504 s
% 76.84/19.85 % (3899261)Peak memory usage: 232 MB
% 76.84/19.85 % (3899261)Instructions burned: 2449 (million)
% 76.84/19.85 % (3899263)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3229201452:i=3223:kws=precedence:fgj=on:av=off_2830 on theBenchmark for (2830ds/3223Mi)
% 76.84/19.85 % (3899259)Instruction limit reached!
% 76.84/19.85 % (3899259)------------------------------
% 76.84/19.85 % (3899259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899259)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899259)Termination reason: Instruction limit
% 76.84/19.85 % (3899259)Termination phase: Saturation
% 76.84/19.85 % (3899259)Time elapsed: 2.807 s
% 76.84/19.85 % (3899259)Peak memory usage: 127 MB
% 76.84/19.85 % (3899259)Instructions burned: 5782 (million)
% 76.84/19.85 % (3899265)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3797011784:st=5.6:i=2033:sd=3:ss=axioms_2826 on theBenchmark for (2826ds/2033Mi)
% 76.84/19.85 % (3899265)Instruction limit reached!
% 76.84/19.85 % (3899265)------------------------------
% 76.84/19.85 % (3899265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899265)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899265)Termination reason: Instruction limit
% 76.84/19.85 % (3899265)Termination phase: Saturation
% 76.84/19.85 % (3899265)Time elapsed: 1.300 s
% 76.84/19.85 % (3899265)Peak memory usage: 211 MB
% 76.84/19.85 % (3899265)Instructions burned: 2034 (million)
% 76.84/19.85 % (3899249)First to succeed.
% 76.84/19.85 % (3899249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3899160"
% 76.84/19.85 % (3899257)Instruction limit reached!
% 76.84/19.85 % (3899257)------------------------------
% 76.84/19.85 % (3899257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899257)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899257)Termination reason: Instruction limit
% 76.84/19.85 % (3899257)Termination phase: Saturation
% 76.84/19.85 % (3899257)Time elapsed: 4.523 s
% 76.84/19.85 % (3899257)Peak memory usage: 244 MB
% 76.84/19.85 % (3899257)Instructions burned: 14125 (million)
% 76.84/19.85 % (3899267)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1261525858:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2812 on theBenchmark for (2812ds/2055Mi)
% 76.84/19.85 % (3899268)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1658616837:i=21611:sd=3:ss=axioms_2811 on theBenchmark for (2811ds/21611Mi)
% 76.84/19.85 % (3899263)Instruction limit reached!
% 76.84/19.85 % (3899263)------------------------------
% 76.84/19.85 % (3899263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.84/19.85 % (3899263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.84/19.85 % (3899263)CaDiCaL version: 2.1.3
% 76.84/19.85 % (3899263)Termination reason: Instruction limit
% 76.84/19.85 % (3899263)Termination phase: Saturation
% 76.84/19.85 % (3899263)Time elapsed: 1.921 s
% 76.84/19.85 % (3899263)Peak memory usage: 238 MB
% 76.84/19.85 % (3899263)Instructions burned: 3223 (million)
% 76.84/19.85 % (3899249)Refutation found. Thanks to Tanya!
% 76.84/19.85 % SZS status Theorem for theBenchmark
% 76.84/19.85 % SZS output start Proof for theBenchmark
% See solution above
% 135.40/20.05 % (3899249)------------------------------
% 135.40/20.05 % (3899249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.40/20.05 % (3899249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.40/20.05 % (3899249)CaDiCaL version: 2.1.3
% 135.40/20.05 % (3899249)Termination reason: Refutation
% 135.40/20.05 % (3899249)Time elapsed: 5.622 s
% 135.40/20.05 % (3899249)Peak memory usage: 208 MB
% 135.40/20.05 % (3899249)Instructions burned: 8323 (million)
% 135.40/20.05 % (3899249)------------------------------
% 135.40/20.05 % (3899249)------------------------------
% 135.40/20.05 % (3899160)Success in time 19.168 s
% 135.40/20.05 % Vampire exiting
%------------------------------------------------------------------------------