%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP036+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:59 PM UTC 2026
% Result : Theorem 4.81s 1.14s
% Output : Refutation 5.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 40
% Syntax : Number of formulae : 324 ( 61 unt; 13 def)
% Number of atoms : 1124 ( 154 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1398 ( 598 ~; 646 |; 102 &)
% ( 18 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 14 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 4 con; 0-4 aty)
% Number of variables : 335 ( 0 sgn 329 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f21,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(f55,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(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f64,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(f66,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f68,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f73,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(f74,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(f87,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(k2_pre_topc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f91,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f109,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(f110,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(f111,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(f112,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(f113,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(f114,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(f115,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(f116,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(f118,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(f119,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(f120,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_funct_1) ).
fof(f121,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( X0 != k1_xboole_0
& r1_tarski(X0,k1_relat_1(X1))
& k9_relat_1(X1,X0) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_relat_1) ).
fof(f123,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,u1_struct_0(X0))
=> k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_tsp_2) ).
fof(f124,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f125,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_xboole_0
| X0 = k1_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f126,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(f128,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(f134,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,[],[f2]) ).
fof(f135,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,[],[f134]) ).
fof(f160,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f215,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_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,[],[f55]) ).
fof(f216,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_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,[],[f215]) ).
fof(f224,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,[],[f64]) ).
fof(f225,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,[],[f224]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f229,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f228]) ).
fof(f230,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f232,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,[],[f73]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f240,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f240]) ).
fof(f268,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,[],[f109]) ).
fof(f269,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,[],[f268]) ).
fof(f270,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,[],[f110]) ).
fof(f271,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,[],[f270]) ).
fof(f272,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,[],[f111]) ).
fof(f273,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,[],[f272]) ).
fof(f274,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,[],[f112]) ).
fof(f275,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,[],[f274]) ).
fof(f276,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,[],[f113]) ).
fof(f277,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,[],[f276]) ).
fof(f278,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,[],[f114]) ).
fof(f279,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,[],[f278]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f281,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,[],[f118]) ).
fof(f282,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,[],[f281]) ).
fof(f283,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f284,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f285,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f284]) ).
fof(f286,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f287,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f286]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = 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,[],[f123]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = 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,[],[f289]) ).
fof(f291,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f292,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f291]) ).
fof(f295,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,[],[f128]) ).
fof(f296,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,[],[f295]) ).
fof(f301,plain,
( k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK0,sK2)) != k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k4_tex_4(sK0,sK2))
& m1_subset_1(sK2,u1_struct_0(sK0))
& ~ v3_struct_0(sK1)
& v2_tsp_2(sK1,sK0)
& m2_tsp_1(sK1,sK0)
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f135]) ).
fof(f321,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,[],[f115]) ).
fof(f322,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,[],[f280]) ).
fof(f323,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f324,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f323]) ).
fof(f325,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,[],[f126]) ).
fof(f326,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f301]) ).
fof(f327,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f301]) ).
fof(f328,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f301]) ).
fof(f329,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f301]) ).
fof(f330,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f301]) ).
fof(f331,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f301]) ).
fof(f332,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f301]) ).
fof(f333,plain,
k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK0,sK2)) != k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k4_tex_4(sK0,sK2)),
inference(cnf_transformation,[],[f301]) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f467,plain,
! [X0,X1] :
( m2_relset_1(k1_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,[],[f216]) ).
fof(f469,plain,
! [X0,X1] :
( v1_funct_2(k1_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,[],[f216]) ).
fof(f470,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| v1_funct_1(k1_tsp_2(X0,X1)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f478,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f479,plain,
! [X0,X1] :
( ~ v1_xboole_0(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,[],[f225]) ).
fof(f481,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f482,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f484,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,[],[f232]) ).
fof(f485,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f504,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f513,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f91]) ).
fof(f570,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f269]) ).
fof(f571,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f572,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ 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,[],[f273]) ).
fof(f573,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| k2_tex_4(X0,X1) = k4_tex_4(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f275]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ 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,[],[f277]) ).
fof(f575,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f576,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f577,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f578,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f581,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(cnf_transformation,[],[f282]) ).
fof(f582,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f583,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f584,plain,
! [X0,X1] :
( k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f287]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ 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)
| k4_tex_4(X0,X2) = k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) ),
inference(cnf_transformation,[],[f290]) ).
fof(f587,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f588,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f324]) ).
fof(f591,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| k2_pre_topc(X0) = k1_relat_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(cnf_transformation,[],[f296]) ).
fof(f602,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k2_tex_4(sK0,X0) = k4_tex_4(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f326,f573]) ).
fof(f603,plain,
! [X0] :
( ~ v2_pre_topc(sK0)
| k2_tex_4(sK0,X0) = k4_tex_4(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f602,f328]) ).
fof(f604,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_tex_4(sK0,X0) = k4_tex_4(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f603,f327]) ).
fof(f605,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK0)
| ~ m2_tsp_1(X1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,X1,k3_tsp_2(sK0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(X1),k3_tsp_2(sK0,X1),X0))) ),
inference(resolution,[],[f586,f326]) ).
fof(f606,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK0)
| ~ m2_tsp_1(X1,sK0)
| ~ v2_pre_topc(sK0)
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,X1,k3_tsp_2(sK0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(X1),k3_tsp_2(sK0,X1),X0))) ),
inference(forward_subsumption_resolution,[],[f605,f328]) ).
fof(f607,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,sK0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,X1,k3_tsp_2(sK0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(X1),k3_tsp_2(sK0,X1),X0))) ),
inference(forward_subsumption_resolution,[],[f606,f327]) ).
fof(f608,plain,
k4_tex_4(sK0,sK2) = k2_tex_4(sK0,sK2),
inference(resolution,[],[f604,f332]) ).
fof(f609,plain,
l1_struct_0(sK0),
inference(resolution,[],[f482,f326]) ).
fof(f610,plain,
u1_struct_0(sK0) = k2_pre_topc(sK0),
inference(resolution,[],[f609,f582]) ).
fof(f611,plain,
! [X0] :
( v3_struct_0(sK0)
| k1_tarski(X0) = k1_struct_0(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f609,f570]) ).
fof(f612,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f611,f328]) ).
fof(f613,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK0))
| k1_tarski(X0) = k1_struct_0(sK0,X0) ),
inference(forward_demodulation,[],[f612,f610]) ).
fof(f615,plain,
m1_subset_1(sK2,k2_pre_topc(sK0)),
inference(superposition,[],[f332,f610]) ).
fof(f618,plain,
! [X0] :
( v1_funct_2(k1_tsp_2(sK0,X0),k2_pre_topc(sK0),u1_struct_0(X0))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m1_pre_topc(X0,sK0) ),
inference(superposition,[],[f469,f610]) ).
fof(f629,plain,
! [X0] :
( v1_funct_2(k1_tsp_2(sK0,X0),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m1_pre_topc(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f618,f328]) ).
fof(f634,plain,
! [X0] :
( v1_funct_2(k1_tsp_2(sK0,X0),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ l1_pre_topc(sK0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m1_pre_topc(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f629,f327]) ).
fof(f638,plain,
! [X0] :
( ~ m1_pre_topc(X0,sK0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| v1_funct_2(k1_tsp_2(sK0,X0),k2_pre_topc(sK0),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f634,f326]) ).
fof(f640,plain,
k1_struct_0(sK0,sK2) = k1_tarski(sK2),
inference(resolution,[],[f613,f615]) ).
fof(f641,plain,
k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k4_tex_4(sK0,sK2)) != k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_tarski(sK2)),
inference(superposition,[],[f333,f640]) ).
fof(f642,plain,
k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_tarski(sK2)) != k4_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k2_tex_4(sK0,sK2)),
inference(forward_demodulation,[],[f641,f608]) ).
fof(f644,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| m1_subset_1(k4_tex_4(sK0,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f478,f326]) ).
fof(f645,plain,
! [X0] :
( ~ v2_pre_topc(sK0)
| m1_subset_1(k4_tex_4(sK0,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f644,f328]) ).
fof(f646,plain,
! [X0] :
( m1_subset_1(k4_tex_4(sK0,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f645,f327]) ).
fof(f647,plain,
! [X0] :
( m1_subset_1(k4_tex_4(sK0,X0),k1_zfmisc_1(k2_pre_topc(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f646,f610]) ).
fof(f648,plain,
! [X0] :
( m1_subset_1(k4_tex_4(sK0,X0),k1_zfmisc_1(k2_pre_topc(sK0)))
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ),
inference(forward_demodulation,[],[f647,f610]) ).
fof(f649,plain,
( m1_subset_1(k2_tex_4(sK0,sK2),k1_zfmisc_1(k2_pre_topc(sK0)))
| ~ m1_subset_1(sK2,k2_pre_topc(sK0)) ),
inference(superposition,[],[f648,f608]) ).
fof(f650,plain,
m1_subset_1(k2_tex_4(sK0,sK2),k1_zfmisc_1(k2_pre_topc(sK0))),
inference(forward_subsumption_resolution,[],[f649,f615]) ).
fof(f651,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| m1_pre_topc(X0,sK0) ),
inference(resolution,[],[f578,f326]) ).
fof(f652,plain,
( ~ v1_xboole_0(k2_tex_4(sK0,sK2))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(superposition,[],[f479,f608]) ).
fof(f653,plain,
( ~ v1_xboole_0(k2_tex_4(sK0,sK2))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f652,f328]) ).
fof(f654,plain,
( ~ v1_xboole_0(k2_tex_4(sK0,sK2))
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f653,f327]) ).
fof(f655,plain,
( ~ v1_xboole_0(k2_tex_4(sK0,sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f654,f326]) ).
fof(f656,plain,
~ v1_xboole_0(k2_tex_4(sK0,sK2)),
inference(forward_subsumption_resolution,[],[f655,f332]) ).
fof(f657,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| l1_pre_topc(X0) ),
inference(resolution,[],[f485,f326]) ).
fof(f658,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),X0))) ),
inference(resolution,[],[f607,f329]) ).
fof(f659,plain,
! [X0] :
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),X0))) ),
inference(forward_subsumption_resolution,[],[f658,f331]) ).
fof(f660,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),X0))) ),
inference(forward_subsumption_resolution,[],[f659,f330]) ).
fof(f661,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),X0))) ),
inference(forward_demodulation,[],[f660,f610]) ).
fof(f662,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK0))
| k4_tex_4(sK0,X0) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(k2_pre_topc(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),X0))) ),
inference(forward_demodulation,[],[f661,f610]) ).
fof(f663,plain,
k4_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(k2_pre_topc(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),sK2))),
inference(resolution,[],[f662,f615]) ).
fof(f664,plain,
k2_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(k2_pre_topc(sK0),u1_struct_0(sK1),k3_tsp_2(sK0,sK1),sK2))),
inference(forward_demodulation,[],[f663,f608]) ).
fof(f675,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f576,f467]) ).
fof(f676,plain,
l1_pre_topc(sK1),
inference(resolution,[],[f657,f329]) ).
fof(f680,plain,
l1_struct_0(sK1),
inference(resolution,[],[f676,f482]) ).
fof(f702,plain,
u1_struct_0(sK1) = k2_pre_topc(sK1),
inference(resolution,[],[f680,f582]) ).
fof(f703,plain,
! [X0] :
( v3_struct_0(sK1)
| k1_tarski(X0) = k1_struct_0(sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(resolution,[],[f680,f570]) ).
fof(f704,plain,
! [X0] :
( k1_tarski(X0) = k1_struct_0(sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f703,f331]) ).
fof(f706,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK1))
| k1_tarski(X0) = k1_struct_0(sK1,X0) ),
inference(forward_demodulation,[],[f704,f702]) ).
fof(f709,plain,
k2_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k3_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k3_tsp_2(sK0,sK1),sK2))),
inference(superposition,[],[f664,f702]) ).
fof(f725,plain,
m1_pre_topc(sK1,sK0),
inference(resolution,[],[f651,f329]) ).
fof(f729,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(resolution,[],[f725,f470]) ).
fof(f731,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(resolution,[],[f725,f571]) ).
fof(f733,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(resolution,[],[f725,f675]) ).
fof(f735,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f733,f328]) ).
fof(f737,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f731,f328]) ).
fof(f739,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f729,f328]) ).
fof(f742,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f735,f327]) ).
fof(f744,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f737,f327]) ).
fof(f746,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f739,f327]) ).
fof(f749,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f742,f326]) ).
fof(f751,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f744,f326]) ).
fof(f753,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f746,f326]) ).
fof(f756,plain,
( ~ v2_tsp_2(sK1,sK0)
| m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f749,f331]) ).
fof(f758,plain,
( ~ v2_tsp_2(sK1,sK0)
| k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f751,f331]) ).
fof(f760,plain,
( ~ v2_tsp_2(sK1,sK0)
| v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f753,f331]) ).
fof(f763,plain,
m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f756,f330]) ).
fof(f765,plain,
k3_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f758,f330]) ).
fof(f767,plain,
v1_funct_1(k1_tsp_2(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f760,f330]) ).
fof(f770,plain,
m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),k2_pre_topc(sK1)),
inference(forward_demodulation,[],[f763,f702]) ).
fof(f773,plain,
m1_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1)),
inference(forward_demodulation,[],[f770,f610]) ).
fof(f808,plain,
k2_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k1_struct_0(sK1,k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),sK2))),
inference(superposition,[],[f709,f765]) ).
fof(f810,plain,
k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k1_tarski(sK2)) != k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k2_tex_4(sK0,sK2)),
inference(superposition,[],[f642,f765]) ).
fof(f819,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| k4_pre_topc(X0,X1,k1_tsp_2(sK0,sK1),X2) = k9_relat_1(k1_tsp_2(sK0,sK1),X2)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f767,f572]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| k5_pre_topc(X0,X1,k1_tsp_2(sK0,sK1),X2) = k10_relat_1(k1_tsp_2(sK0,sK1),X2)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f767,f574]) ).
fof(f821,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),X0,X1)
| k8_funct_2(X0,X1,k1_tsp_2(sK0,sK1),X2) = k1_funct_1(k1_tsp_2(sK0,sK1),X2)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(resolution,[],[f767,f575]) ).
fof(f822,plain,
! [X0] :
( ~ r2_hidden(X0,k1_relat_1(k1_tsp_2(sK0,sK1)))
| ~ v1_relat_1(k1_tsp_2(sK0,sK1))
| k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),X0)) ),
inference(resolution,[],[f767,f581]) ).
fof(f824,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| k2_pre_topc(X0) = k1_relat_1(k1_tsp_2(sK0,sK1)) ),
inference(resolution,[],[f767,f595]) ).
fof(f826,definition,
( spl22_9
<=> v1_relat_1(k1_tsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f827,plain,
( ~ v1_relat_1(k1_tsp_2(sK0,sK1))
| spl22_9 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f829,definition,
( spl22_10
<=> ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(k1_tsp_2(sK0,sK1)))
| k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f830,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(k1_tsp_2(sK0,sK1)))
| k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),X0)) )
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( ~ spl22_9
| spl22_10 ),
inference(avatar_split_clause,[],[f822,f829,f826]) ).
fof(f839,plain,
( r2_hidden(sK2,u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f587,f332]) ).
fof(f842,definition,
( spl22_11
<=> v1_xboole_0(k2_pre_topc(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f843,plain,
( v1_xboole_0(k2_pre_topc(sK0))
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f845,definition,
( spl22_12
<=> r2_hidden(sK2,k2_pre_topc(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f846,plain,
( r2_hidden(sK2,k2_pre_topc(sK0))
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f848,plain,
( r2_hidden(sK2,k2_pre_topc(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f839,f610]) ).
fof(f856,plain,
( v1_xboole_0(k2_pre_topc(sK0))
| r2_hidden(sK2,k2_pre_topc(sK0)) ),
inference(forward_demodulation,[],[f848,f610]) ).
fof(f857,plain,
( spl22_12
| spl22_11 ),
inference(avatar_split_clause,[],[f856,f842,f845]) ).
fof(f859,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl22_11 ),
inference(resolution,[],[f843,f504]) ).
fof(f861,plain,
( ~ l1_struct_0(sK0)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f859,f328]) ).
fof(f862,plain,
( $false
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f861,f609]) ).
fof(f863,plain,
~ spl22_11,
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f864,plain,
m2_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1)),
inference(resolution,[],[f577,f773]) ).
fof(f870,plain,
r1_tarski(k2_tex_4(sK0,sK2),k2_pre_topc(sK0)),
inference(resolution,[],[f591,f650]) ).
fof(f874,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f484,f382]) ).
fof(f881,plain,
v1_relat_1(k1_tsp_2(sK0,sK1)),
inference(resolution,[],[f874,f864]) ).
fof(f883,plain,
( $false
| spl22_9 ),
inference(forward_subsumption_resolution,[],[f881,f827]) ).
fof(f884,plain,
spl22_9,
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f885,plain,
! [X0] :
( ~ v1_relat_1(k1_tsp_2(sK0,sK1))
| r1_tarski(k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),X0)),X0) ),
inference(resolution,[],[f583,f767]) ).
fof(f886,plain,
! [X0] : r1_tarski(k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),X0)),X0),
inference(forward_subsumption_resolution,[],[f885,f881]) ).
fof(f887,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),X0,X1)
| m1_subset_1(k8_funct_2(X0,X1,k1_tsp_2(sK0,sK1),X2),X1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(resolution,[],[f481,f767]) ).
fof(f888,plain,
! [X0] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k2_pre_topc(sK0) = k1_relat_1(k1_tsp_2(sK0,sK1)) ),
inference(resolution,[],[f824,f609]) ).
fof(f891,plain,
! [X0] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k2_pre_topc(sK0) = k1_relat_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_demodulation,[],[f888,f610]) ).
fof(f893,plain,
! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k2_pre_topc(sK0) = k1_relat_1(k1_tsp_2(sK0,sK1)) ),
inference(forward_demodulation,[],[f891,f610]) ).
fof(f902,definition,
( spl22_15
<=> k2_pre_topc(sK0) = k1_relat_1(k1_tsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f903,plain,
( k2_pre_topc(sK0) = k1_relat_1(k1_tsp_2(sK0,sK1))
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f905,definition,
( spl22_16
<=> ! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_16])],[avatar_definition]) ).
fof(f906,plain,
( ! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(X0)) )
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f907,plain,
( spl22_15
| spl22_16 ),
inference(avatar_split_clause,[],[f893,f905,f902]) ).
fof(f908,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_pre_topc(sK0))
| k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),X0)) )
| ~ spl22_10
| ~ spl22_15 ),
inference(superposition,[],[f830,f903]) ).
fof(f933,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),sK2))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15 ),
inference(resolution,[],[f908,f846]) ).
fof(f967,plain,
! [X0] :
( k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0) = k1_funct_1(k1_tsp_2(sK0,sK1),X0)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| v1_xboole_0(k2_pre_topc(sK0))
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ),
inference(resolution,[],[f821,f773]) ).
fof(f969,definition,
( spl22_21
<=> v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_21])],[avatar_definition]) ).
fof(f970,plain,
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| spl22_21 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f972,definition,
( spl22_22
<=> ! [X0] :
( k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0) = k1_funct_1(k1_tsp_2(sK0,sK1),X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_22])],[avatar_definition]) ).
fof(f973,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK0))
| k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0) = k1_funct_1(k1_tsp_2(sK0,sK1),X0) )
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f974,plain,
( spl22_11
| ~ spl22_21
| spl22_22 ),
inference(avatar_split_clause,[],[f967,f972,f969,f842]) ).
fof(f976,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X1) = k4_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1))
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1)) ),
inference(resolution,[],[f819,f680]) ).
fof(f977,plain,
! [X0,X1] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ l1_struct_0(X0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X1) = k4_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1)
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f976,f702]) ).
fof(f979,plain,
! [X0,X1] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ l1_struct_0(X0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X1) = k4_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1) ),
inference(forward_demodulation,[],[f977,f702]) ).
fof(f1002,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(sK1)) ),
inference(resolution,[],[f638,f725]) ).
fof(f1003,plain,
( ~ v2_tsp_2(sK1,sK0)
| v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f1002,f331]) ).
fof(f1004,plain,
v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f1003,f330]) ).
fof(f1005,plain,
v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1)),
inference(forward_demodulation,[],[f1004,f702]) ).
fof(f1006,plain,
( $false
| spl22_21 ),
inference(forward_subsumption_resolution,[],[f1005,f970]) ).
fof(f1007,plain,
spl22_21,
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1008,plain,
( k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),sK2) = k1_funct_1(k1_tsp_2(sK0,sK1),sK2)
| ~ spl22_22 ),
inference(resolution,[],[f973,f615]) ).
fof(f1009,plain,
( k2_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k1_struct_0(sK1,k1_funct_1(k1_tsp_2(sK0,sK1),sK2)))
| ~ spl22_22 ),
inference(superposition,[],[f808,f1008]) ).
fof(f1014,plain,
! [X0] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ l1_struct_0(sK0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X0) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(superposition,[],[f979,f610]) ).
fof(f1016,plain,
! [X0] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ l1_struct_0(sK0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X0) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f1014,f773]) ).
fof(f1017,plain,
! [X0] :
( ~ l1_struct_0(sK0)
| k9_relat_1(k1_tsp_2(sK0,sK1),X0) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f1016,f1005]) ).
fof(f1018,plain,
! [X0] : k9_relat_1(k1_tsp_2(sK0,sK1),X0) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0),
inference(forward_subsumption_resolution,[],[f1017,f609]) ).
fof(f1019,plain,
k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k1_tarski(sK2)) != k9_relat_1(k1_tsp_2(sK0,sK1),k2_tex_4(sK0,sK2)),
inference(superposition,[],[f810,f1018]) ).
fof(f1020,plain,
k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) != k9_relat_1(k1_tsp_2(sK0,sK1),k2_tex_4(sK0,sK2)),
inference(forward_demodulation,[],[f1019,f1018]) ).
fof(f1037,plain,
! [X0] :
( k1_tarski(X0) = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0)))
| k1_xboole_0 = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(X0))) ),
inference(resolution,[],[f886,f588]) ).
fof(f1038,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))))
| k1_xboole_0 = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15 ),
inference(superposition,[],[f1037,f933]) ).
fof(f1044,definition,
( spl22_28
<=> k1_xboole_0 = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl22_28])],[avatar_definition]) ).
fof(f1045,plain,
( k1_xboole_0 = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))))
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1047,definition,
( spl22_29
<=> k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f1048,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k9_relat_1(k1_tsp_2(sK0,sK1),k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))))
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1049,plain,
( spl22_28
| spl22_29
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f1038,f902,f845,f829,f1047,f1044]) ).
fof(f1053,plain,
( k1_xboole_0 != k1_xboole_0
| ~ r1_tarski(k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))),k1_relat_1(k1_tsp_2(sK0,sK1)))
| k1_xboole_0 = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))
| ~ v1_relat_1(k1_tsp_2(sK0,sK1))
| ~ spl22_28 ),
inference(superposition,[],[f584,f1045]) ).
fof(f1054,plain,
( ~ r1_tarski(k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))),k1_relat_1(k1_tsp_2(sK0,sK1)))
| k1_xboole_0 = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))
| ~ v1_relat_1(k1_tsp_2(sK0,sK1))
| ~ spl22_28 ),
inference(trivial_inequality_removal,[],[f1053]) ).
fof(f1055,plain,
( ~ r1_tarski(k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))),k1_relat_1(k1_tsp_2(sK0,sK1)))
| k1_xboole_0 = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1054,f881]) ).
fof(f1058,definition,
( spl22_30
<=> k1_xboole_0 = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))) ),
introduced(definition,[new_symbols(definition,[spl22_30])],[avatar_definition]) ).
fof(f1059,plain,
( k1_xboole_0 = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1065,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X1) = k5_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1))
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1)) ),
inference(resolution,[],[f820,f680]) ).
fof(f1066,plain,
! [X0,X1] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ l1_struct_0(X0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X1) = k5_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1)
| ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f1065,f702]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(X0),k2_pre_topc(sK1))
| ~ l1_struct_0(X0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X1) = k5_pre_topc(X0,sK1,k1_tsp_2(sK0,sK1),X1) ),
inference(forward_demodulation,[],[f1066,f702]) ).
fof(f1249,plain,
! [X0] :
( ~ m1_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ l1_struct_0(sK0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X0) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(superposition,[],[f1068,f610]) ).
fof(f1251,plain,
! [X0] :
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ l1_struct_0(sK0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X0) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f1249,f773]) ).
fof(f1252,plain,
! [X0] :
( ~ l1_struct_0(sK0)
| k10_relat_1(k1_tsp_2(sK0,sK1),X0) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f1251,f1005]) ).
fof(f1253,plain,
! [X0] : k10_relat_1(k1_tsp_2(sK0,sK1),X0) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0),
inference(forward_subsumption_resolution,[],[f1252,f609]) ).
fof(f1257,plain,
( k2_tex_4(sK0,sK2) = k10_relat_1(k1_tsp_2(sK0,sK1),k1_struct_0(sK1,k1_funct_1(k1_tsp_2(sK0,sK1),sK2)))
| ~ spl22_22 ),
inference(superposition,[],[f1009,f1253]) ).
fof(f1378,definition,
( spl22_53
<=> r1_tarski(k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))),k1_relat_1(k1_tsp_2(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl22_53])],[avatar_definition]) ).
fof(f1379,plain,
( ~ r1_tarski(k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2))),k1_relat_1(k1_tsp_2(sK0,sK1)))
| spl22_53 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1380,plain,
( spl22_30
| ~ spl22_53
| ~ spl22_28 ),
inference(avatar_split_clause,[],[f1055,f1044,f1378,f1058]) ).
fof(f1388,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ spl22_16 ),
inference(superposition,[],[f906,f702]) ).
fof(f1389,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ spl22_16 ),
inference(forward_subsumption_resolution,[],[f1388,f864]) ).
fof(f1390,plain,
( v3_struct_0(sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ spl22_16 ),
inference(forward_subsumption_resolution,[],[f1389,f680]) ).
fof(f1391,plain,
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| ~ spl22_16 ),
inference(forward_subsumption_resolution,[],[f1390,f331]) ).
fof(f1392,plain,
( $false
| ~ spl22_16 ),
inference(forward_subsumption_resolution,[],[f1391,f1005]) ).
fof(f1393,plain,
~ spl22_16,
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1476,plain,
! [X0] :
( m1_subset_1(k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0),k2_pre_topc(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),k2_pre_topc(sK0),k2_pre_topc(sK1))
| v1_xboole_0(k2_pre_topc(sK0))
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ),
inference(resolution,[],[f887,f773]) ).
fof(f1477,plain,
! [X0] :
( m1_subset_1(k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0),k2_pre_topc(sK1))
| v1_xboole_0(k2_pre_topc(sK0))
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ),
inference(forward_subsumption_resolution,[],[f1476,f1005]) ).
fof(f1479,definition,
( spl22_64
<=> ! [X0] :
( m1_subset_1(k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0),k2_pre_topc(sK1))
| ~ m1_subset_1(X0,k2_pre_topc(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_64])],[avatar_definition]) ).
fof(f1480,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK0))
| m1_subset_1(k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),X0),k2_pre_topc(sK1)) )
| ~ spl22_64 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1481,plain,
( spl22_11
| spl22_64 ),
inference(avatar_split_clause,[],[f1477,f1479,f842]) ).
fof(f1482,plain,
( m1_subset_1(k8_funct_2(k2_pre_topc(sK0),k2_pre_topc(sK1),k1_tsp_2(sK0,sK1),sK2),k2_pre_topc(sK1))
| ~ spl22_64 ),
inference(resolution,[],[f1480,f615]) ).
fof(f1483,plain,
( m1_subset_1(k1_funct_1(k1_tsp_2(sK0,sK1),sK2),k2_pre_topc(sK1))
| ~ spl22_22
| ~ spl22_64 ),
inference(forward_demodulation,[],[f1482,f1008]) ).
fof(f1487,plain,
( k1_tarski(k1_funct_1(k1_tsp_2(sK0,sK1),sK2)) = k1_struct_0(sK1,k1_funct_1(k1_tsp_2(sK0,sK1),sK2))
| ~ spl22_22
| ~ spl22_64 ),
inference(resolution,[],[f1483,f706]) ).
fof(f1496,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k1_struct_0(sK1,k1_funct_1(k1_tsp_2(sK0,sK1),sK2))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_64 ),
inference(forward_demodulation,[],[f1487,f933]) ).
fof(f1505,plain,
( k2_tex_4(sK0,sK2) = k10_relat_1(k1_tsp_2(sK0,sK1),k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_64 ),
inference(superposition,[],[f1257,f1496]) ).
fof(f1510,plain,
( ~ r1_tarski(k2_tex_4(sK0,sK2),k1_relat_1(k1_tsp_2(sK0,sK1)))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| spl22_53
| ~ spl22_64 ),
inference(superposition,[],[f1379,f1505]) ).
fof(f1516,plain,
( ~ r1_tarski(k2_tex_4(sK0,sK2),k2_pre_topc(sK0))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| spl22_53
| ~ spl22_64 ),
inference(forward_demodulation,[],[f1510,f903]) ).
fof(f1517,plain,
( $false
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| spl22_53
| ~ spl22_64 ),
inference(forward_subsumption_resolution,[],[f1516,f870]) ).
fof(f1518,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| spl22_53
| ~ spl22_64 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1519,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),k1_tarski(sK2)) = k9_relat_1(k1_tsp_2(sK0,sK1),k2_tex_4(sK0,sK2))
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_29
| ~ spl22_64 ),
inference(forward_demodulation,[],[f1048,f1505]) ).
fof(f1522,plain,
( $false
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_29
| ~ spl22_64 ),
inference(forward_subsumption_resolution,[],[f1519,f1020]) ).
fof(f1523,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_29
| ~ spl22_64 ),
inference(avatar_contradiction_clause,[],[f1522]) ).
fof(f1530,plain,
( k1_xboole_0 = k2_tex_4(sK0,sK2)
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_30
| ~ spl22_64 ),
inference(superposition,[],[f1505,f1059]) ).
fof(f1538,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_30
| ~ spl22_64 ),
inference(superposition,[],[f656,f1530]) ).
fof(f1551,plain,
( $false
| ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_30
| ~ spl22_64 ),
inference(forward_subsumption_resolution,[],[f1538,f513]) ).
fof(f1552,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_30
| ~ spl22_64 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
cnf(s10,plain,
( ~ spl22_9
| spl22_10 ),
inference(sat_conversion,[],[f831]) ).
cnf(s12,plain,
( spl22_11
| spl22_12 ),
inference(sat_conversion,[],[f857]) ).
cnf(s14,plain,
~ spl22_11,
inference(sat_conversion,[],[f863]) ).
cnf(s16,plain,
spl22_9,
inference(sat_conversion,[],[f884]) ).
cnf(s18,plain,
( spl22_15
| spl22_16 ),
inference(sat_conversion,[],[f907]) ).
cnf(s21,plain,
( spl22_11
| ~ spl22_21
| spl22_22 ),
inference(sat_conversion,[],[f974]) ).
cnf(s24,plain,
spl22_21,
inference(sat_conversion,[],[f1007]) ).
cnf(s25,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| spl22_28
| spl22_29 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s44,plain,
( ~ spl22_28
| spl22_30
| ~ spl22_53 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s46,plain,
~ spl22_16,
inference(sat_conversion,[],[f1393]) ).
cnf(s53,plain,
( spl22_11
| spl22_64 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s58,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| spl22_53
| ~ spl22_64 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s59,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_29
| ~ spl22_64 ),
inference(sat_conversion,[],[f1523]) ).
cnf(s60,plain,
( ~ spl22_10
| ~ spl22_12
| ~ spl22_15
| ~ spl22_22
| ~ spl22_30
| ~ spl22_64 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s62,plain,
( spl22_11
| spl22_22 ),
inference(rat,[],[s21,s24]) ).
cnf(s63,plain,
spl22_15,
inference(rat,[],[s18,s46]) ).
cnf(s64,plain,
spl22_64,
inference(rat,[],[s53,s14]) ).
cnf(s65,plain,
spl22_22,
inference(rat,[],[s62,s14]) ).
cnf(s67,plain,
spl22_12,
inference(rat,[],[s12,s14]) ).
cnf(s68,plain,
spl22_10,
inference(rat,[],[s10,s16]) ).
cnf(s69,plain,
~ spl22_30,
inference(rat,[],[s60,s64,s67,s65,s63,s68]) ).
cnf(s70,plain,
~ spl22_29,
inference(rat,[],[s59,s64,s67,s65,s63,s68]) ).
cnf(s71,plain,
spl22_53,
inference(rat,[],[s58,s64,s67,s65,s63,s68]) ).
cnf(s73,plain,
spl22_28,
inference(rat,[],[s25,s70,s67,s63,s68]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s44,s71,s69,s73]) ).
fof(f1563,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TOP036+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.18 % Computer : n012.cluster.edu
% 0.02/0.18 % Model : x86_64 x86_64
% 0.02/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.18 % Memory : 8046.5625MB
% 0.02/0.18 % OS : Linux 6.8.0-71-generic
% 0.02/0.18 % CPULimit : 300
% 0.02/0.18 % WCLimit : 300
% 0.02/0.18 % DateTime : Mon Sep 28 18:58:34 UTC 2026
% 0.02/0.18 % CPUTime :
% 0.02/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.20 Running first-order theorem proving
% 0.02/0.20 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
% 4.81/1.14 % (3641107)Detected formulas, will run a generic FOF schedule.
% 4.81/1.14 % (3641167)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4091592304:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.81/1.14 % (3641165)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3157306115:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.81/1.14 % (3641169)dis-21_1_sil=8000:lcm=predicate:random_seed=936062663:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.81/1.14 % (3641162)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=2747429454:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.81/1.14 % (3641164)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=3764908590:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.81/1.14 % (3641163)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=651142958:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.81/1.14 % (3641165)Refutation not found, incomplete strategy
% 4.81/1.14 % (3641165)------------------------------
% 4.81/1.14 % (3641165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641165)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641165)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.14 % (3641165)Time elapsed: 0.001 s
% 4.81/1.14 % (3641165)Peak memory usage: 88 MB
% 4.81/1.14 % (3641165)Instructions burned: 1 (million)
% 4.81/1.14 % (3641167)Refutation not found, incomplete strategy
% 4.81/1.14 % (3641167)------------------------------
% 4.81/1.14 % (3641167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641167)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641167)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.14 % (3641167)Time elapsed: 0.002 s
% 4.81/1.14 % (3641167)Peak memory usage: 88 MB
% 4.81/1.14 % (3641167)Instructions burned: 4 (million)
% 4.81/1.14 % (3641168)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3985198506:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.81/1.14 % (3641169)Instruction limit reached!
% 4.81/1.14 % (3641169)------------------------------
% 4.81/1.14 % (3641169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641169)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641169)Termination reason: Instruction limit
% 4.81/1.14 % (3641169)Termination phase: Saturation
% 4.81/1.14 % (3641169)Time elapsed: 0.032 s
% 4.81/1.14 % (3641169)Peak memory usage: 89 MB
% 4.81/1.14 % (3641169)Instructions burned: 132 (million)
% 4.81/1.14 % (3641168)Instruction limit reached!
% 4.81/1.14 % (3641168)------------------------------
% 4.81/1.14 % (3641168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641168)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641168)Termination reason: Instruction limit
% 4.81/1.14 % (3641168)Termination phase: Saturation
% 4.81/1.14 % (3641168)Time elapsed: 0.055 s
% 4.81/1.14 % (3641168)Peak memory usage: 90 MB
% 4.81/1.14 % (3641168)Instructions burned: 141 (million)
% 4.81/1.14 % (3641208)lrs+10_1_sil=8000:sp=occurrence:random_seed=2336599751:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.81/1.14 % (3641165)------------------------------
% 4.81/1.14 % (3641165)------------------------------
% 4.81/1.14 % (3641167)------------------------------
% 4.81/1.14 % (3641167)------------------------------
% 4.81/1.14 % (3641218)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4029761647:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.81/1.14 % (3641218)Instruction limit reached!
% 4.81/1.14 % (3641218)------------------------------
% 4.81/1.14 % (3641218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641218)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641218)Termination reason: Instruction limit
% 4.81/1.14 % (3641218)Termination phase: Saturation
% 4.81/1.14 % (3641218)Time elapsed: 0.044 s
% 4.81/1.14 % (3641218)Peak memory usage: 89 MB
% 4.81/1.14 % (3641218)Instructions burned: 161 (million)
% 4.81/1.14 % (3641208)Instruction limit reached!
% 4.81/1.14 % (3641208)------------------------------
% 4.81/1.14 % (3641208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641208)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641208)Termination reason: Instruction limit
% 4.81/1.14 % (3641208)Termination phase: Saturation
% 4.81/1.14 % (3641208)Time elapsed: 0.095 s
% 4.81/1.14 % (3641208)Peak memory usage: 92 MB
% 4.81/1.14 % (3641208)Instructions burned: 287 (million)
% 4.81/1.14 % (3641239)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4009102998:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.81/1.14 % (3641240)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=1613678263:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.81/1.14 % (3641259)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2536710810:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.81/1.14 % (3641259)Refutation not found, incomplete strategy
% 4.81/1.14 % (3641259)------------------------------
% 4.81/1.14 % (3641259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641259)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641259)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.14 % (3641259)Time elapsed: 0.003 s
% 4.81/1.14 % (3641259)Peak memory usage: 89 MB
% 4.81/1.14 % (3641259)Instructions burned: 8 (million)
% 4.81/1.14 % (3641262)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=907860256:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.81/1.14 % (3641240)Instruction limit reached!
% 4.81/1.14 % (3641240)------------------------------
% 4.81/1.14 % (3641240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641240)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641240)Termination reason: Instruction limit
% 4.81/1.14 % (3641240)Termination phase: Saturation
% 4.81/1.14 % (3641240)Time elapsed: 0.080 s
% 4.81/1.14 % (3641240)Peak memory usage: 94 MB
% 4.81/1.14 % (3641240)Instructions burned: 248 (million)
% 4.81/1.14 % (3641239)Instruction limit reached!
% 4.81/1.14 % (3641239)------------------------------
% 4.81/1.14 % (3641239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641239)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641239)Termination reason: Instruction limit
% 4.81/1.14 % (3641239)Termination phase: Saturation
% 4.81/1.14 % (3641239)Time elapsed: 0.101 s
% 4.81/1.14 % (3641239)Peak memory usage: 91 MB
% 4.81/1.14 % (3641239)Instructions burned: 329 (million)
% 4.81/1.14 % (3641163)First to succeed.
% 4.81/1.14 % (3641163)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3641107"
% 4.81/1.14 % (3641162)Also succeeded, but the first one will report.
% 4.81/1.14 % (3641297)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2184305354:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.81/1.14 % (3641294)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3870331918:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.81/1.14 % (3641259)------------------------------
% 4.81/1.14 % (3641259)------------------------------
% 4.81/1.14 % (3641297)Instruction limit reached!
% 4.81/1.14 % (3641297)------------------------------
% 4.81/1.14 % (3641297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641297)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641297)Termination reason: Instruction limit
% 4.81/1.14 % (3641297)Termination phase: Saturation
% 4.81/1.14 % (3641297)Time elapsed: 0.036 s
% 4.81/1.14 % (3641297)Peak memory usage: 89 MB
% 4.81/1.14 % (3641297)Instructions burned: 127 (million)
% 4.81/1.14 % (3641294)Instruction limit reached!
% 4.81/1.14 % (3641294)------------------------------
% 4.81/1.14 % (3641294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.14 % (3641294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.14 % (3641294)CaDiCaL version: 2.1.3
% 4.81/1.14 % (3641294)Termination reason: Instruction limit
% 4.81/1.14 % (3641294)Termination phase: Saturation
% 4.81/1.14 % (3641294)Time elapsed: 0.042 s
% 4.81/1.14 % (3641294)Peak memory usage: 91 MB
% 4.81/1.14 % (3641294)Instructions burned: 115 (million)
% 4.81/1.14 % (3641163)Refutation found. Thanks to Tanya!
% 4.81/1.14 % SZS status Theorem for theBenchmark
% 4.81/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 5.26/1.25 % (3641163)------------------------------
% 5.26/1.25 % (3641163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.25 % (3641163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.25 % (3641163)CaDiCaL version: 2.1.3
% 5.26/1.25 % (3641163)Termination reason: Refutation
% 5.26/1.25 % (3641163)Time elapsed: 0.432 s
% 5.26/1.25 % (3641163)Peak memory usage: 131 MB
% 5.26/1.25 % (3641163)Instructions burned: 1146 (million)
% 5.26/1.25 % (3641163)------------------------------
% 5.26/1.25 % (3641163)------------------------------
% 5.26/1.25 % (3641107)Success in time 0.732 s
% 5.26/1.25 % Vampire exiting
%------------------------------------------------------------------------------