%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP032+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:56 PM UTC 2026
% Result : Theorem 4.17s 1.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 38
% Syntax : Number of formulae : 323 ( 47 unt; 21 def)
% Number of atoms : 1455 ( 132 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1990 ( 858 ~; 935 |; 122 &)
% ( 32 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 18 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-4 aty)
% Number of variables : 323 ( 0 sgn 310 !; 13 ?)
% 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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
=> k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(f54,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f65,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(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f72,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(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f115,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(f116,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(f119,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(f120,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(f122,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tsp_2) ).
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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( X3 = u1_struct_0(X1)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_tsp_2) ).
fof(f125,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(f126,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(f128,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(f130,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f150,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f150]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f220]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f223]) ).
fof(f233,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,[],[f65]) ).
fof(f234,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,[],[f233]) ).
fof(f235,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f243,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f244,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f243]) ).
fof(f278,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,[],[f115]) ).
fof(f279,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,[],[f278]) ).
fof(f280,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,[],[f116]) ).
fof(f281,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,[],[f280]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f287]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f289]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f293,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,[],[f126]) ).
fof(f294,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,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f296,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f295]) ).
fof(f297,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f298,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f297]) ).
fof(f307,plain,
( ( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) )
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k4_tex_4(sK2,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK2)) )
& v1_funct_1(sK4)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& ~ v3_struct_0(sK3)
& v2_tsp_2(sK3,sK2)
& m2_tsp_1(sK3,sK2)
& ~ v3_struct_0(sK2)
& v2_pre_topc(sK2)
& l1_pre_topc(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f151]) ).
fof(f310,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2)
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2)
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X3] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f310]) ).
fof(f312,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1))
& r2_hidden(sK5(X0,X1),X1)
& m1_subset_1(sK5(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X3] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f311]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f317,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f316]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f317]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ( sK7(X0,X1) != X1
& v1_tsp_1(sK7(X0,X1),X0)
& r1_tarski(X1,sK7(X0,X1))
& m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f318]) ).
fof(f340,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,[],[f119]) ).
fof(f341,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,[],[f286]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0) )
& ( v2_tsp_2(X1,X0)
| ~ v1_tsp_2(X2,X0) ) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f288]) ).
fof(f343,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| u1_struct_0(X1) != X3
| ( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK27(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,X3)))
& m1_subset_1(sK27(X0,X1,X2,X3),u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X4,sK27(X0,X1,X2,X3))],[f290]) ).
fof(f344,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,[],[f294]) ).
fof(f346,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f347,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f348,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f349,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f350,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f351,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f307]) ).
fof(f352,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f307]) ).
fof(f353,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f307]) ).
fof(f354,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f307]) ).
fof(f355,plain,
! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k4_tex_4(sK2,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f307]) ).
fof(f356,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(cnf_transformation,[],[f307]) ).
fof(f474,plain,
! [X3,X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f482,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f492,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f493,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f496,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f513,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f609,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f610,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| k2_tex_4(X0,X1) = k4_tex_4(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f613,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f615,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f619,plain,
! [X2,X0,X1] :
( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f622,plain,
! [X2,X3,X0,X1] :
( v5_pre_topc(X2,X0,X1)
| u1_struct_0(X1) != X3
| m1_subset_1(sK27(X0,X1,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( v5_pre_topc(X2,X0,X1)
| u1_struct_0(X1) != X3
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK27(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f629,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f630,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) = k2_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f633,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f636,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f298]) ).
fof(f641,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_tsp_2(X1,X0)
| v1_tsp_2(u1_struct_0(X1),X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f619]) ).
fof(f647,plain,
! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,sK27(X0,X1,X2,u1_struct_0(X1)))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,u1_struct_0(X1))))
| v5_pre_topc(X2,X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f623]) ).
fof(f648,plain,
! [X2,X0,X1] :
( m1_subset_1(sK27(X0,X1,X2,u1_struct_0(X1)),u1_struct_0(X0))
| v5_pre_topc(X2,X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f622]) ).
fof(f651,definition,
sF28 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f652,plain,
u1_struct_0(sK2) = sF28,
inference(reorient_equations,[],[f651]) ).
fof(f653,definition,
sF29 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f654,plain,
u1_struct_0(sK3) = sF29,
inference(reorient_equations,[],[f653]) ).
fof(f655,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,sF28,sF29) ),
inference(definition_folding,[],[f356,f654,f652,f654,f652]) ).
fof(f656,definition,
! [X3] : sF30(X3) = k8_funct_2(sF28,sF29,sK4,X3),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f657,plain,
! [X3] : k8_funct_2(sF28,sF29,sK4,X3) = sF30(X3),
inference(reorient_equations,[],[f656]) ).
fof(f658,definition,
! [X3] : sF31(X3) = k4_tex_4(sK2,X3),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f659,plain,
! [X3] : k4_tex_4(sK2,X3) = sF31(X3),
inference(reorient_equations,[],[f658]) ).
fof(f660,plain,
! [X3] :
( r2_hidden(sF30(X3),sF31(X3))
| ~ m1_subset_1(X3,sF28) ),
inference(definition_folding,[],[f355,f652,f659,f657,f654,f652]) ).
fof(f661,plain,
v1_funct_2(sK4,sF28,sF29),
inference(definition_folding,[],[f353,f654,f652]) ).
fof(f662,plain,
m2_relset_1(sK4,sF28,sF29),
inference(definition_folding,[],[f352,f654,f652]) ).
fof(f663,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X3,X1)
| ~ v1_tsp_1(X1,X0)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f474,f636]) ).
fof(f665,plain,
( ~ v1_funct_2(sK4,sF28,sF29)
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,sF28,sF29) ),
inference(forward_subsumption_resolution,[],[f655,f354]) ).
fof(f666,plain,
( ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,sF28,sF29) ),
inference(forward_subsumption_resolution,[],[f665,f661]) ).
fof(f667,plain,
~ v5_pre_topc(sK4,sK2,sK3),
inference(forward_subsumption_resolution,[],[f666,f662]) ).
fof(f668,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) ),
inference(superposition,[],[f610,f652]) ).
fof(f671,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f668,f348]) ).
fof(f673,definition,
( spl32_1
<=> l1_pre_topc(sK3) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f674,plain,
( l1_pre_topc(sK3)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( ~ l1_pre_topc(sK3)
| spl32_1 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f684,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f671,f347]) ).
fof(f685,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f684,f346]) ).
fof(f686,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| sF31(X0) = k2_tex_4(sK2,X0) ),
inference(forward_demodulation,[],[f685,f659]) ).
fof(f702,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),sF29,k4_tex_4(X0,sK27(X0,sK3,X1,sF29))) != k1_struct_0(sK3,k8_funct_2(u1_struct_0(X0),sF29,X1,sK27(X0,sK3,X1,sF29)))
| v5_pre_topc(X1,X0,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF29)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF29)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,X0)
| ~ m2_tsp_1(sK3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f647,f654]) ).
fof(f703,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),sF29,k4_tex_4(X0,sK27(X0,sK3,X1,sF29))) != k1_struct_0(sK3,k8_funct_2(u1_struct_0(X0),sF29,X1,sK27(X0,sK3,X1,sF29)))
| v5_pre_topc(X1,X0,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF29)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF29)
| ~ v2_tsp_2(sK3,X0)
| ~ m2_tsp_1(sK3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f702,f351]) ).
fof(f709,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f703,f652]) ).
fof(f711,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ m2_tsp_1(sK3,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f709,f350]) ).
fof(f712,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f711,f349]) ).
fof(f713,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f712,f348]) ).
fof(f714,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f713,f347]) ).
fof(f715,plain,
! [X0] :
( k5_subset_1(sF28,sF29,k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29))) != k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29) ),
inference(forward_subsumption_resolution,[],[f714,f346]) ).
fof(f716,plain,
! [X0] :
( k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29))) != k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,X0,sF29)))
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29) ),
inference(forward_demodulation,[],[f715,f659]) ).
fof(f718,definition,
( spl32_4
<=> m1_subset_1(sF29,k1_zfmisc_1(sF28)) ),
introduced(definition,[new_symbols(definition,[spl32_4])],[avatar_definition]) ).
fof(f719,plain,
( m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f720,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| spl32_4 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f722,definition,
( spl32_5
<=> ! [X0] :
( k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29))) != k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,X0,sF29)))
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl32_5])],[avatar_definition]) ).
fof(f723,plain,
( ! [X0] :
( k1_struct_0(sK3,k8_funct_2(sF28,sF29,X0,sK27(sK2,sK3,X0,sF29))) != k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,X0,sF29)))
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ v1_funct_1(X0)
| v5_pre_topc(X0,sK2,sK3) )
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( ~ spl32_4
| spl32_5 ),
inference(avatar_split_clause,[],[f716,f722,f718]) ).
fof(f749,plain,
! [X0,X1] :
( m1_subset_1(sK27(X0,sK3,X1,sF29),u1_struct_0(X0))
| v5_pre_topc(X1,X0,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF29)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF29)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,X0)
| ~ m2_tsp_1(sK3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f648,f654]) ).
fof(f750,plain,
! [X0,X1] :
( m1_subset_1(sK27(sK2,X0,X1,u1_struct_0(X0)),sF28)
| v5_pre_topc(X1,sK2,X0)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF28,u1_struct_0(X0))
| ~ m2_relset_1(X1,sF28,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m2_tsp_1(X0,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f648,f652]) ).
fof(f753,plain,
! [X0,X1] :
( m1_subset_1(sK27(sK2,X0,X1,u1_struct_0(X0)),sF28)
| v5_pre_topc(X1,sK2,X0)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF28,u1_struct_0(X0))
| ~ m2_relset_1(X1,sF28,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m2_tsp_1(X0,sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f750,f348]) ).
fof(f754,plain,
! [X0,X1] :
( m1_subset_1(sK27(X0,sK3,X1,sF29),u1_struct_0(X0))
| v5_pre_topc(X1,X0,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF29)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF29)
| ~ v2_tsp_2(sK3,X0)
| ~ m2_tsp_1(sK3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f749,f351]) ).
fof(f756,plain,
! [X0,X1] :
( m1_subset_1(sK27(sK2,X0,X1,u1_struct_0(X0)),sF28)
| v5_pre_topc(X1,sK2,X0)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF28,u1_struct_0(X0))
| ~ m2_relset_1(X1,sF28,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m2_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f753,f347]) ).
fof(f757,plain,
! [X0,X1] :
( m1_subset_1(sK27(sK2,X0,X1,u1_struct_0(X0)),sF28)
| v5_pre_topc(X1,sK2,X0)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF28,u1_struct_0(X0))
| ~ m2_relset_1(X1,sF28,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f756,f346]) ).
fof(f758,plain,
! [X0,X1] :
( v5_pre_topc(X0,X1,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF29)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF29)
| ~ v2_tsp_2(sK3,X1)
| ~ m2_tsp_1(sK3,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| k2_tex_4(X1,sK27(X1,sK3,X0,sF29)) = k4_tex_4(X1,sK27(X1,sK3,X0,sF29)) ),
inference(resolution,[],[f754,f610]) ).
fof(f761,plain,
! [X0,X1] :
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X1)))
| v5_pre_topc(X0,X1,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF29)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF29)
| ~ v2_tsp_2(sK3,X1)
| ~ m2_tsp_1(sK3,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| k2_tex_4(X1,sK27(X1,sK3,X0,sF29)) = k4_tex_4(X1,sK27(X1,sK3,X0,sF29)) ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f764,plain,
! [X0] :
( m1_subset_1(sF30(X0),sF29)
| v1_xboole_0(sF28)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ m1_relset_1(sK4,sF28,sF29)
| ~ m1_subset_1(X0,sF28) ),
inference(superposition,[],[f492,f657]) ).
fof(f765,plain,
! [X0] :
( m1_subset_1(sF30(X0),sF29)
| v1_xboole_0(sF28)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ m1_relset_1(sK4,sF28,sF29)
| ~ m1_subset_1(X0,sF28) ),
inference(forward_subsumption_resolution,[],[f764,f354]) ).
fof(f766,plain,
! [X0] :
( m1_subset_1(sF30(X0),sF29)
| v1_xboole_0(sF28)
| ~ m1_relset_1(sK4,sF28,sF29)
| ~ m1_subset_1(X0,sF28) ),
inference(forward_subsumption_resolution,[],[f765,f661]) ).
fof(f768,definition,
( spl32_10
<=> m1_relset_1(sK4,sF28,sF29) ),
introduced(definition,[new_symbols(definition,[spl32_10])],[avatar_definition]) ).
fof(f770,plain,
( ~ m1_relset_1(sK4,sF28,sF29)
| spl32_10 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f772,definition,
( spl32_11
<=> v1_xboole_0(sF28) ),
introduced(definition,[new_symbols(definition,[spl32_11])],[avatar_definition]) ).
fof(f774,plain,
( v1_xboole_0(sF28)
| ~ spl32_11 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f776,definition,
( spl32_12
<=> ! [X0] :
( m1_subset_1(sF30(X0),sF29)
| ~ m1_subset_1(X0,sF28) ) ),
introduced(definition,[new_symbols(definition,[spl32_12])],[avatar_definition]) ).
fof(f777,plain,
( ! [X0] :
( m1_subset_1(sF30(X0),sF29)
| ~ m1_subset_1(X0,sF28) )
| ~ spl32_12 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f778,plain,
( ~ spl32_10
| spl32_11
| spl32_12 ),
inference(avatar_split_clause,[],[f766,f776,f772,f768]) ).
fof(f787,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| k1_tarski(X0) = k1_struct_0(sK2,X0) ),
inference(superposition,[],[f609,f652]) ).
fof(f788,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| v3_struct_0(sK3)
| ~ l1_struct_0(sK3)
| k1_tarski(X0) = k1_struct_0(sK3,X0) ),
inference(superposition,[],[f609,f654]) ).
fof(f792,plain,
! [X0] :
( ~ m1_subset_1(X0,sF29)
| ~ l1_struct_0(sK3)
| k1_tarski(X0) = k1_struct_0(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f788,f351]) ).
fof(f793,plain,
! [X0] :
( ~ m1_subset_1(X0,sF28)
| ~ l1_struct_0(sK2)
| k1_tarski(X0) = k1_struct_0(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f787,f348]) ).
fof(f798,definition,
( spl32_13
<=> l1_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl32_13])],[avatar_definition]) ).
fof(f799,plain,
( l1_struct_0(sK3)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( ~ l1_struct_0(sK3)
| spl32_13 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl32_14
<=> ! [X0] :
( ~ m1_subset_1(X0,sF29)
| k1_tarski(X0) = k1_struct_0(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl32_14])],[avatar_definition]) ).
fof(f803,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF29)
| k1_tarski(X0) = k1_struct_0(sK3,X0) )
| ~ spl32_14 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( ~ spl32_13
| spl32_14 ),
inference(avatar_split_clause,[],[f792,f802,f798]) ).
fof(f806,definition,
( spl32_15
<=> l1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl32_15])],[avatar_definition]) ).
fof(f807,plain,
( l1_struct_0(sK2)
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( ~ l1_struct_0(sK2)
| spl32_15 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f810,definition,
( spl32_16
<=> ! [X0] :
( ~ m1_subset_1(X0,sF28)
| k1_tarski(X0) = k1_struct_0(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl32_16])],[avatar_definition]) ).
fof(f811,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF28)
| k1_tarski(X0) = k1_struct_0(sK2,X0) )
| ~ spl32_16 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( ~ spl32_15
| spl32_16 ),
inference(avatar_split_clause,[],[f793,f810,f806]) ).
fof(f813,plain,
m1_relset_1(sK4,sF28,sF29),
inference(resolution,[],[f613,f662]) ).
fof(f814,plain,
( $false
| spl32_10 ),
inference(forward_subsumption_resolution,[],[f813,f770]) ).
fof(f815,plain,
spl32_10,
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f828,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ r2_hidden(X1,X0)
| ~ v1_tsp_1(X0,sK2)
| k1_struct_0(sK2,X1) = k5_subset_1(sF28,X0,k4_tex_4(sK2,X1))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f663,f652]) ).
fof(f831,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ r2_hidden(X1,X0)
| ~ v1_tsp_1(X0,sK2)
| k1_struct_0(sK2,X1) = k5_subset_1(sF28,X0,k4_tex_4(sK2,X1))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f828,f348]) ).
fof(f832,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ r2_hidden(X1,X0)
| ~ v1_tsp_1(X0,sK2)
| k1_struct_0(sK2,X1) = k5_subset_1(sF28,X0,k4_tex_4(sK2,X1))
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f831,f347]) ).
fof(f833,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ r2_hidden(X1,X0)
| ~ v1_tsp_1(X0,sK2)
| k1_struct_0(sK2,X1) = k5_subset_1(sF28,X0,k4_tex_4(sK2,X1)) ),
inference(forward_subsumption_resolution,[],[f832,f346]) ).
fof(f834,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| k1_struct_0(sK2,X1) = k5_subset_1(sF28,X0,sF31(X1))
| ~ r2_hidden(X1,X0)
| ~ v1_tsp_1(X0,sK2) ),
inference(forward_demodulation,[],[f833,f659]) ).
fof(f840,plain,
! [X0] :
( m1_subset_1(sK27(sK2,sK3,X0,sF29),sF28)
| v5_pre_topc(X0,sK2,sK3)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(superposition,[],[f757,f654]) ).
fof(f848,plain,
! [X0] :
( ~ m1_subset_1(sF29,k1_zfmisc_1(sF28))
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) ),
inference(superposition,[],[f761,f652]) ).
fof(f850,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f615,f349]) ).
fof(f851,plain,
m1_pre_topc(sK3,sK2),
inference(forward_subsumption_resolution,[],[f850,f346]) ).
fof(f865,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f496,f349]) ).
fof(f866,plain,
( ~ l1_pre_topc(sK2)
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f865,f675]) ).
fof(f867,plain,
( $false
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f866,f346]) ).
fof(f868,plain,
spl32_1,
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f960,plain,
l1_struct_0(sK2),
inference(resolution,[],[f493,f346]) ).
fof(f961,plain,
( l1_struct_0(sK3)
| ~ spl32_1 ),
inference(resolution,[],[f493,f674]) ).
fof(f962,plain,
( $false
| ~ spl32_1
| spl32_13 ),
inference(forward_subsumption_resolution,[],[f961,f800]) ).
fof(f963,plain,
( ~ spl32_1
| spl32_13 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f964,plain,
( $false
| spl32_15 ),
inference(forward_subsumption_resolution,[],[f960,f808]) ).
fof(f965,plain,
spl32_15,
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f983,plain,
! [X0,X1] :
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X0,X1)
| v1_tsp_2(u1_struct_0(X0),X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f629,f641]) ).
fof(f987,plain,
! [X0] :
( m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(sK3,X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f629,f654]) ).
fof(f991,plain,
! [X0,X1] :
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X0,X1)
| v1_tsp_2(u1_struct_0(X0),X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1) ),
inference(duplicate_literal_removal,[],[f983]) ).
fof(f996,plain,
! [X0,X1] :
( v1_tsp_2(u1_struct_0(X0),X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[],[f991,f615]) ).
fof(f999,plain,
! [X0] :
( ~ m2_tsp_1(sK3,X0)
| ~ v2_tsp_2(sK3,X0)
| ~ l1_pre_topc(X0)
| v1_tsp_2(sF29,X0)
| v3_struct_0(X0) ),
inference(superposition,[],[f996,f654]) ).
fof(f1005,plain,
( m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f987,f652]) ).
fof(f1012,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| spl32_4 ),
inference(forward_subsumption_resolution,[],[f1005,f720]) ).
fof(f1017,plain,
( ~ l1_pre_topc(sK2)
| spl32_4 ),
inference(forward_subsumption_resolution,[],[f1012,f851]) ).
fof(f1018,plain,
( $false
| spl32_4 ),
inference(forward_subsumption_resolution,[],[f1017,f346]) ).
fof(f1019,plain,
spl32_4,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1021,plain,
( ! [X0] :
( m1_subset_1(sK27(sK2,sK3,X0,sF29),sF28)
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f840,f719]) ).
fof(f1022,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f848,f719]) ).
fof(f1025,plain,
( ! [X0] :
( m1_subset_1(sK27(sK2,sK3,X0,sF29),sF28)
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_tsp_2(sK3,sK2)
| ~ m2_tsp_1(sK3,sK2) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1021,f351]) ).
fof(f1026,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ m2_tsp_1(sK3,sK2)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1022,f350]) ).
fof(f1029,plain,
( ! [X0] :
( m1_subset_1(sK27(sK2,sK3,X0,sF29),sF28)
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ m2_tsp_1(sK3,sK2) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1025,f350]) ).
fof(f1030,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1026,f349]) ).
fof(f1033,plain,
( ! [X0] :
( m1_subset_1(sK27(sK2,sK3,X0,sF29),sF28)
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1029,f349]) ).
fof(f1034,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1030,f348]) ).
fof(f1037,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| ~ l1_pre_topc(sK2)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1034,f347]) ).
fof(f1039,plain,
( ! [X0] :
( v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| ~ m2_relset_1(X0,sF28,sF29)
| k4_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1037,f346]) ).
fof(f1041,plain,
( ! [X0] :
( ~ m2_relset_1(X0,sF28,sF29)
| v5_pre_topc(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF28,sF29)
| sF31(sK27(sK2,sK3,X0,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,X0,sF29)) )
| ~ spl32_4 ),
inference(forward_demodulation,[],[f1039,f659]) ).
fof(f1042,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) != k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ m2_relset_1(sK4,sF28,sF29)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ v1_funct_1(sK4)
| v5_pre_topc(sK4,sK2,sK3)
| ~ spl32_5 ),
inference(superposition,[],[f723,f657]) ).
fof(f1043,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) != k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ v1_funct_1(sK4)
| v5_pre_topc(sK4,sK2,sK3)
| ~ spl32_5 ),
inference(forward_subsumption_resolution,[],[f1042,f662]) ).
fof(f1044,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) != k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ v1_funct_1(sK4)
| v5_pre_topc(sK4,sK2,sK3)
| ~ spl32_5 ),
inference(forward_subsumption_resolution,[],[f1043,f661]) ).
fof(f1045,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) != k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29)))
| v5_pre_topc(sK4,sK2,sK3)
| ~ spl32_5 ),
inference(forward_subsumption_resolution,[],[f1044,f354]) ).
fof(f1046,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) != k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_5 ),
inference(forward_subsumption_resolution,[],[f1045,f667]) ).
fof(f1050,plain,
( ! [X0] :
( k1_struct_0(sK2,X0) = k5_subset_1(sF28,sF29,sF31(X0))
| ~ r2_hidden(X0,sF29)
| ~ v1_tsp_1(sF29,sK2) )
| ~ spl32_4 ),
inference(resolution,[],[f719,f834]) ).
fof(f1054,definition,
( spl32_25
<=> v1_tsp_1(sF29,sK2) ),
introduced(definition,[new_symbols(definition,[spl32_25])],[avatar_definition]) ).
fof(f1056,plain,
( ~ v1_tsp_1(sF29,sK2)
| spl32_25 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl32_26
<=> ! [X0] :
( k1_struct_0(sK2,X0) = k5_subset_1(sF28,sF29,sF31(X0))
| ~ r2_hidden(X0,sF29) ) ),
introduced(definition,[new_symbols(definition,[spl32_26])],[avatar_definition]) ).
fof(f1059,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF29)
| k1_struct_0(sK2,X0) = k5_subset_1(sF28,sF29,sF31(X0)) )
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1060,plain,
( ~ spl32_25
| spl32_26
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f1050,f718,f1058,f1054]) ).
fof(f1061,plain,
( v5_pre_topc(sK4,sK2,sK3)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,sK4,sF29))
| ~ spl32_4 ),
inference(resolution,[],[f1041,f662]) ).
fof(f1062,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,sK4,sF29))
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1061,f667]) ).
fof(f1063,plain,
( ~ v1_funct_2(sK4,sF28,sF29)
| sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,sK4,sF29))
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1062,f354]) ).
fof(f1064,plain,
( sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sK27(sK2,sK3,sK4,sF29))
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1063,f661]) ).
fof(f1070,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_pre_topc(sK2) )
| ~ spl32_4 ),
inference(superposition,[],[f630,f1064]) ).
fof(f1071,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),u1_struct_0(sK2))
| ~ l1_pre_topc(sK2) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1070,f348]) ).
fof(f1076,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),u1_struct_0(sK2)) )
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1071,f346]) ).
fof(f1081,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF28)
| ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),u1_struct_0(sK2)) )
| ~ spl32_4 ),
inference(forward_demodulation,[],[f1076,f652]) ).
fof(f1086,plain,
( ! [X0] :
( ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| ~ m1_subset_1(X0,sF28)
| ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29)) )
| ~ spl32_4 ),
inference(forward_demodulation,[],[f1081,f652]) ).
fof(f1094,definition,
( spl32_28
<=> m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28) ),
introduced(definition,[new_symbols(definition,[spl32_28])],[avatar_definition]) ).
fof(f1095,plain,
( m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1096,plain,
( ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| spl32_28 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1099,definition,
( spl32_29
<=> ! [X0] :
( ~ m1_subset_1(X0,sF28)
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29))) ) ),
introduced(definition,[new_symbols(definition,[spl32_29])],[avatar_definition]) ).
fof(f1100,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF31(sK27(sK2,sK3,sK4,sF29)))
| k2_tex_4(sK2,X0) = sF31(sK27(sK2,sK3,sK4,sF29))
| ~ m1_subset_1(X0,sF28) )
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1101,plain,
( spl32_29
| ~ spl32_28
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f1086,f718,f1094,f1099]) ).
fof(f1110,plain,
( v5_pre_topc(sK4,sK2,sK3)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ m2_relset_1(sK4,sF28,sF29)
| ~ spl32_4
| spl32_28 ),
inference(resolution,[],[f1096,f1033]) ).
fof(f1111,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF28,sF29)
| ~ m2_relset_1(sK4,sF28,sF29)
| ~ spl32_4
| spl32_28 ),
inference(forward_subsumption_resolution,[],[f1110,f667]) ).
fof(f1112,plain,
( ~ v1_funct_2(sK4,sF28,sF29)
| ~ m2_relset_1(sK4,sF28,sF29)
| ~ spl32_4
| spl32_28 ),
inference(forward_subsumption_resolution,[],[f1111,f354]) ).
fof(f1113,plain,
( ~ m2_relset_1(sK4,sF28,sF29)
| ~ spl32_4
| spl32_28 ),
inference(forward_subsumption_resolution,[],[f1112,f661]) ).
fof(f1114,plain,
( $false
| ~ spl32_4
| spl32_28 ),
inference(forward_subsumption_resolution,[],[f1113,f662]) ).
fof(f1115,plain,
( ~ spl32_4
| spl32_28 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1127,plain,
( sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF28)
| ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| ~ spl32_29 ),
inference(resolution,[],[f1100,f660]) ).
fof(f1128,plain,
( sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF28)
| ~ spl32_28
| ~ spl32_29 ),
inference(forward_subsumption_resolution,[],[f1127,f1095]) ).
fof(f1130,definition,
( spl32_32
<=> m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF28) ),
introduced(definition,[new_symbols(definition,[spl32_32])],[avatar_definition]) ).
fof(f1131,plain,
( m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF28)
| ~ spl32_32 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1132,plain,
( ~ m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF28)
| spl32_32 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1134,definition,
( spl32_33
<=> sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sF30(sK27(sK2,sK3,sK4,sF29))) ),
introduced(definition,[new_symbols(definition,[spl32_33])],[avatar_definition]) ).
fof(f1136,plain,
( sF31(sK27(sK2,sK3,sK4,sF29)) = k2_tex_4(sK2,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,plain,
( ~ spl32_32
| spl32_33
| ~ spl32_28
| ~ spl32_29 ),
inference(avatar_split_clause,[],[f1128,f1099,f1094,f1134,f1130]) ).
fof(f1200,plain,
( ~ v2_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| v1_tsp_2(sF29,sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f999,f349]) ).
fof(f1201,plain,
( ~ l1_pre_topc(sK2)
| v1_tsp_2(sF29,sK2)
| v3_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f1200,f350]) ).
fof(f1202,plain,
( v1_tsp_2(sF29,sK2)
| v3_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f1201,f346]) ).
fof(f1203,plain,
v1_tsp_2(sF29,sK2),
inference(forward_subsumption_resolution,[],[f1202,f348]) ).
fof(f1232,plain,
( ~ v1_xboole_0(sF28)
| v3_struct_0(sK2)
| ~ l1_struct_0(sK2) ),
inference(superposition,[],[f513,f652]) ).
fof(f1233,plain,
( ~ v1_xboole_0(sF29)
| v3_struct_0(sK3)
| ~ l1_struct_0(sK3) ),
inference(superposition,[],[f513,f654]) ).
fof(f1234,plain,
( ~ v1_xboole_0(sF29)
| ~ l1_struct_0(sK3) ),
inference(forward_subsumption_resolution,[],[f1233,f351]) ).
fof(f1235,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ spl32_11 ),
inference(forward_subsumption_resolution,[],[f1232,f774]) ).
fof(f1236,plain,
( ~ v1_xboole_0(sF29)
| ~ spl32_13 ),
inference(forward_subsumption_resolution,[],[f1234,f799]) ).
fof(f1237,plain,
( ~ l1_struct_0(sK2)
| ~ spl32_11 ),
inference(forward_subsumption_resolution,[],[f1235,f348]) ).
fof(f1238,plain,
( $false
| ~ spl32_11
| ~ spl32_15 ),
inference(forward_subsumption_resolution,[],[f1237,f807]) ).
fof(f1239,plain,
( ~ spl32_11
| ~ spl32_15 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1253,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF28)
| k1_tarski(sF30(X0)) = k1_struct_0(sK3,sF30(X0)) )
| ~ spl32_12
| ~ spl32_14 ),
inference(resolution,[],[f777,f803]) ).
fof(f1254,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF28)
| r2_hidden(sF30(X0),sF29)
| v1_xboole_0(sF29) )
| ~ spl32_12 ),
inference(resolution,[],[f777,f633]) ).
fof(f1255,plain,
( ! [X0] :
( r2_hidden(sF30(X0),sF29)
| ~ m1_subset_1(X0,sF28) )
| ~ spl32_12
| ~ spl32_13 ),
inference(forward_subsumption_resolution,[],[f1254,f1236]) ).
fof(f1300,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF29)
| m1_subset_1(X0,sF28) )
| ~ spl32_4 ),
inference(resolution,[],[f636,f719]) ).
fof(f1303,plain,
( ! [X0] :
( m1_subset_1(sF30(X0),sF28)
| ~ m1_subset_1(X0,sF28) )
| ~ spl32_4
| ~ spl32_12
| ~ spl32_13 ),
inference(resolution,[],[f1300,f1255]) ).
fof(f1307,plain,
( ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| ~ spl32_4
| ~ spl32_12
| ~ spl32_13
| spl32_32 ),
inference(resolution,[],[f1303,f1132]) ).
fof(f1313,plain,
( $false
| ~ spl32_4
| ~ spl32_12
| ~ spl32_13
| ~ spl32_28
| spl32_32 ),
inference(forward_subsumption_resolution,[],[f1307,f1095]) ).
fof(f1314,plain,
( ~ spl32_4
| ~ spl32_12
| ~ spl32_13
| ~ spl32_28
| spl32_32 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1316,plain,
( k1_tarski(sF30(sK27(sK2,sK3,sK4,sF29))) = k1_struct_0(sK2,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_16
| ~ spl32_32 ),
inference(resolution,[],[f1131,f811]) ).
fof(f1317,plain,
( k2_tex_4(sK2,sF30(sK27(sK2,sK3,sK4,sF29))) = sF31(sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_32 ),
inference(resolution,[],[f1131,f686]) ).
fof(f1320,plain,
( sF31(sK27(sK2,sK3,sK4,sF29)) = sF31(sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_32
| ~ spl32_33 ),
inference(forward_demodulation,[],[f1317,f1136]) ).
fof(f1457,plain,
( k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29))) = k1_tarski(sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_12
| ~ spl32_14
| ~ spl32_28 ),
inference(resolution,[],[f1253,f1095]) ).
fof(f1481,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v1_tsp_2(X0,sK2)
| v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f482,f652]) ).
fof(f1489,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v1_tsp_2(X0,sK2)
| v1_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f1481,f346]) ).
fof(f1498,plain,
( ~ v1_tsp_2(sF29,sK2)
| v1_tsp_1(sF29,sK2)
| ~ spl32_4 ),
inference(resolution,[],[f1489,f719]) ).
fof(f1503,plain,
( v1_tsp_1(sF29,sK2)
| ~ spl32_4 ),
inference(forward_subsumption_resolution,[],[f1498,f1203]) ).
fof(f1506,plain,
( $false
| ~ spl32_4
| spl32_25 ),
inference(forward_subsumption_resolution,[],[f1503,f1056]) ).
fof(f1507,plain,
( ~ spl32_4
| spl32_25 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1542,definition,
( spl32_44
<=> m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF29) ),
introduced(definition,[new_symbols(definition,[spl32_44])],[avatar_definition]) ).
fof(f1543,plain,
( m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF29)
| ~ spl32_44 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1544,plain,
( ~ m1_subset_1(sF30(sK27(sK2,sK3,sK4,sF29)),sF29)
| spl32_44 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1554,plain,
( ~ m1_subset_1(sK27(sK2,sK3,sK4,sF29),sF28)
| ~ spl32_12
| spl32_44 ),
inference(resolution,[],[f1544,f777]) ).
fof(f1555,plain,
( $false
| ~ spl32_12
| ~ spl32_28
| spl32_44 ),
inference(forward_subsumption_resolution,[],[f1554,f1095]) ).
fof(f1556,plain,
( ~ spl32_12
| ~ spl32_28
| spl32_44 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1558,plain,
( r2_hidden(sF30(sK27(sK2,sK3,sK4,sF29)),sF29)
| v1_xboole_0(sF29)
| ~ spl32_44 ),
inference(resolution,[],[f1543,f633]) ).
fof(f1559,plain,
( r2_hidden(sF30(sK27(sK2,sK3,sK4,sF29)),sF29)
| ~ spl32_13
| ~ spl32_44 ),
inference(forward_subsumption_resolution,[],[f1558,f1236]) ).
fof(f1560,plain,
( k1_struct_0(sK2,sF30(sK27(sK2,sK3,sK4,sF29))) = k5_subset_1(sF28,sF29,sF31(sF30(sK27(sK2,sK3,sK4,sF29))))
| ~ spl32_13
| ~ spl32_26
| ~ spl32_44 ),
inference(resolution,[],[f1559,f1059]) ).
fof(f1564,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) = k1_struct_0(sK2,sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_13
| ~ spl32_26
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(forward_demodulation,[],[f1560,f1320]) ).
fof(f1565,plain,
( k5_subset_1(sF28,sF29,sF31(sK27(sK2,sK3,sK4,sF29))) = k1_tarski(sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_13
| ~ spl32_16
| ~ spl32_26
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(forward_demodulation,[],[f1564,f1316]) ).
fof(f1823,plain,
( k1_struct_0(sK3,sF30(sK27(sK2,sK3,sK4,sF29))) != k1_tarski(sF30(sK27(sK2,sK3,sK4,sF29)))
| ~ spl32_5
| ~ spl32_13
| ~ spl32_16
| ~ spl32_26
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(superposition,[],[f1046,f1565]) ).
fof(f1824,plain,
( $false
| ~ spl32_5
| ~ spl32_12
| ~ spl32_13
| ~ spl32_14
| ~ spl32_16
| ~ spl32_26
| ~ spl32_28
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(forward_subsumption_resolution,[],[f1823,f1457]) ).
fof(f1825,plain,
( ~ spl32_5
| ~ spl32_12
| ~ spl32_13
| ~ spl32_14
| ~ spl32_16
| ~ spl32_26
| ~ spl32_28
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
cnf(s2,plain,
( ~ spl32_4
| spl32_5 ),
inference(sat_conversion,[],[f724]) ).
cnf(s4,plain,
( ~ spl32_10
| spl32_11
| spl32_12 ),
inference(sat_conversion,[],[f778]) ).
cnf(s5,plain,
( ~ spl32_13
| spl32_14 ),
inference(sat_conversion,[],[f804]) ).
cnf(s6,plain,
( ~ spl32_15
| spl32_16 ),
inference(sat_conversion,[],[f812]) ).
cnf(s7,plain,
spl32_10,
inference(sat_conversion,[],[f815]) ).
cnf(s8,plain,
spl32_1,
inference(sat_conversion,[],[f868]) ).
cnf(s11,plain,
( ~ spl32_1
| spl32_13 ),
inference(sat_conversion,[],[f963]) ).
cnf(s12,plain,
spl32_15,
inference(sat_conversion,[],[f965]) ).
cnf(s13,plain,
spl32_4,
inference(sat_conversion,[],[f1019]) ).
cnf(s14,plain,
( ~ spl32_4
| ~ spl32_25
| spl32_26 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s16,plain,
( ~ spl32_4
| ~ spl32_28
| spl32_29 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s19,plain,
( ~ spl32_4
| spl32_28 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s20,plain,
( ~ spl32_28
| ~ spl32_29
| ~ spl32_32
| spl32_33 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s24,plain,
( ~ spl32_11
| ~ spl32_15 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s25,plain,
( ~ spl32_4
| ~ spl32_12
| ~ spl32_13
| ~ spl32_28
| spl32_32 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s30,plain,
( ~ spl32_4
| spl32_25 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s33,plain,
( ~ spl32_12
| ~ spl32_28
| spl32_44 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s41,plain,
( ~ spl32_5
| ~ spl32_12
| ~ spl32_13
| ~ spl32_14
| ~ spl32_16
| ~ spl32_26
| ~ spl32_28
| ~ spl32_32
| ~ spl32_33
| ~ spl32_44 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s42,plain,
spl32_25,
inference(rat,[],[s30,s13]) ).
cnf(s43,plain,
spl32_28,
inference(rat,[],[s19,s13]) ).
cnf(s45,plain,
spl32_26,
inference(rat,[],[s14,s13,s42]) ).
cnf(s48,plain,
spl32_29,
inference(rat,[],[s16,s13,s43]) ).
cnf(s49,plain,
~ spl32_11,
inference(rat,[],[s24,s12]) ).
cnf(s50,plain,
spl32_13,
inference(rat,[],[s11,s8]) ).
cnf(s51,plain,
spl32_16,
inference(rat,[],[s6,s12]) ).
cnf(s52,plain,
spl32_14,
inference(rat,[],[s5,s50]) ).
cnf(s53,plain,
spl32_12,
inference(rat,[],[s4,s49,s7]) ).
cnf(s54,plain,
spl32_44,
inference(rat,[],[s33,s43,s53]) ).
cnf(s55,plain,
spl32_32,
inference(rat,[],[s25,s50,s43,s13,s53]) ).
cnf(s57,plain,
spl32_33,
inference(rat,[],[s20,s48,s43,s55]) ).
cnf(s58,plain,
~ spl32_5,
inference(rat,[],[s41,s54,s57,s53,s43,s45,s51,s52,s50,s55]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s2,s58,s13]) ).
fof(f1826,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 18:58:29 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 4.17/1.40 % (2529039)Detected formulas, will run a generic FOF schedule.
% 4.17/1.40 % (2529050)dis-21_1_sil=8000:lcm=predicate:random_seed=2807765127: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)
% 4.17/1.40 % (2529049)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1773319297:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.17/1.40 % (2529047)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1927556531:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.17/1.40 % (2529046)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=4266258821:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.17/1.40 % (2529048)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=197100609:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.17/1.40 % (2529044)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=4129810953:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.17/1.40 % (2529045)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=1423028467:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.17/1.40 % (2529047)Refutation not found, incomplete strategy
% 4.17/1.40 % (2529047)------------------------------
% 4.17/1.40 % (2529047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529047)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529047)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.40 % (2529047)Time elapsed: 0.004 s
% 4.17/1.40 % (2529047)Peak memory usage: 88 MB
% 4.17/1.40 % (2529047)Instructions burned: 5 (million)
% 4.17/1.40 % (2529050)Instruction limit reached!
% 4.17/1.40 % (2529050)------------------------------
% 4.17/1.40 % (2529050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529050)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529050)Termination reason: Instruction limit
% 4.17/1.40 % (2529050)Termination phase: Saturation
% 4.17/1.40 % (2529050)Time elapsed: 0.041 s
% 4.17/1.40 % (2529050)Peak memory usage: 90 MB
% 4.17/1.40 % (2529050)Instructions burned: 131 (million)
% 4.17/1.40 % (2529048)Instruction limit reached!
% 4.17/1.40 % (2529048)------------------------------
% 4.17/1.40 % (2529048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529048)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529048)Termination reason: Instruction limit
% 4.17/1.40 % (2529048)Termination phase: Saturation
% 4.17/1.40 % (2529048)Time elapsed: 0.060 s
% 4.17/1.40 % (2529048)Peak memory usage: 88 MB
% 4.17/1.40 % (2529048)Instructions burned: 119 (million)
% 4.17/1.40 % (2529058)lrs+10_1_sil=8000:sp=occurrence:random_seed=2312712269:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.17/1.40 % (2529049)Instruction limit reached!
% 4.17/1.40 % (2529049)------------------------------
% 4.17/1.40 % (2529049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529049)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529049)Termination reason: Instruction limit
% 4.17/1.40 % (2529049)Termination phase: Saturation
% 4.17/1.40 % (2529049)Time elapsed: 0.099 s
% 4.17/1.40 % (2529049)Peak memory usage: 90 MB
% 4.17/1.40 % (2529049)Instructions burned: 139 (million)
% 4.17/1.40 % (2529059)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2884211201:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.17/1.40 % (2529058)Instruction limit reached!
% 4.17/1.40 % (2529058)------------------------------
% 4.17/1.40 % (2529058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529058)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529058)Termination reason: Instruction limit
% 4.17/1.40 % (2529058)Termination phase: Saturation
% 4.17/1.40 % (2529058)Time elapsed: 0.102 s
% 4.17/1.40 % (2529058)Peak memory usage: 93 MB
% 4.17/1.40 % (2529058)Instructions burned: 286 (million)
% 4.17/1.40 % (2529061)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3915711742:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.17/1.40 % (2529047)------------------------------
% 4.17/1.40 % (2529047)------------------------------
% 4.17/1.40 % (2529059)Instruction limit reached!
% 4.17/1.40 % (2529059)------------------------------
% 4.17/1.40 % (2529059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529059)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529059)Termination reason: Instruction limit
% 4.17/1.40 % (2529059)Termination phase: Saturation
% 4.17/1.40 % (2529059)Time elapsed: 0.092 s
% 4.17/1.40 % (2529059)Peak memory usage: 90 MB
% 4.17/1.40 % (2529059)Instructions burned: 157 (million)
% 4.17/1.40 % (2529063)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=2776769737:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.17/1.40 % (2529063)Instruction limit reached!
% 4.17/1.40 % (2529063)------------------------------
% 4.17/1.40 % (2529063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529063)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529063)Termination reason: Instruction limit
% 4.17/1.40 % (2529063)Termination phase: Saturation
% 4.17/1.40 % (2529063)Time elapsed: 0.079 s
% 4.17/1.40 % (2529063)Peak memory usage: 92 MB
% 4.17/1.40 % (2529063)Instructions burned: 249 (million)
% 4.17/1.40 % (2529065)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2969587240:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.17/1.40 % (2529065)Refutation not found, incomplete strategy
% 4.17/1.40 % (2529065)------------------------------
% 4.17/1.40 % (2529065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529065)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529065)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.40 % (2529065)Time elapsed: 0.006 s
% 4.17/1.40 % (2529065)Peak memory usage: 89 MB
% 4.17/1.40 % (2529065)Instructions burned: 9 (million)
% 4.17/1.40 % (2529066)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=182216764:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.17/1.40 % (2529061)Instruction limit reached!
% 4.17/1.40 % (2529061)------------------------------
% 4.17/1.40 % (2529061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529061)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529061)Termination reason: Instruction limit
% 4.17/1.40 % (2529061)Termination phase: Saturation
% 4.17/1.40 % (2529061)Time elapsed: 0.221 s
% 4.17/1.40 % (2529061)Peak memory usage: 92 MB
% 4.17/1.40 % (2529061)Instructions burned: 325 (million)
% 4.17/1.40 % (2529069)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2789291471:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.17/1.40 % (2529069)Instruction limit reached!
% 4.17/1.40 % (2529069)------------------------------
% 4.17/1.40 % (2529069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529069)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529069)Termination reason: Instruction limit
% 4.17/1.40 % (2529069)Termination phase: Saturation
% 4.17/1.40 % (2529069)Time elapsed: 0.040 s
% 4.17/1.40 % (2529069)Peak memory usage: 91 MB
% 4.17/1.40 % (2529069)Instructions burned: 113 (million)
% 4.17/1.40 % (2529071)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3574966597:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.17/1.40 % (2529065)------------------------------
% 4.17/1.40 % (2529065)------------------------------
% 4.17/1.40 % (2529073)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1575006164:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.17/1.40 % (2529071)Instruction limit reached!
% 4.17/1.40 % (2529071)------------------------------
% 4.17/1.40 % (2529071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529071)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529071)Termination reason: Instruction limit
% 4.17/1.40 % (2529071)Termination phase: Saturation
% 4.17/1.40 % (2529071)Time elapsed: 0.065 s
% 4.17/1.40 % (2529071)Peak memory usage: 89 MB
% 4.17/1.40 % (2529071)Instructions burned: 128 (million)
% 4.17/1.40 % (2529044)First to succeed.
% 4.17/1.40 % (2529044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2529039"
% 4.17/1.40 % (2529073)Instruction limit reached!
% 4.17/1.40 % (2529073)------------------------------
% 4.17/1.40 % (2529073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529073)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529073)Termination reason: Instruction limit
% 4.17/1.40 % (2529073)Termination phase: Saturation
% 4.17/1.40 % (2529073)Time elapsed: 0.071 s
% 4.17/1.40 % (2529073)Peak memory usage: 89 MB
% 4.17/1.40 % (2529073)Instructions burned: 116 (million)
% 4.17/1.40 % (2529076)lrs+10_1_sil=8000:sp=occurrence:random_seed=3123991055:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.17/1.40 % (2529077)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=745275472:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 4.17/1.40 % (2529077)Refutation not found, incomplete strategy
% 4.17/1.40 % (2529077)------------------------------
% 4.17/1.40 % (2529077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.40 % (2529077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.40 % (2529077)CaDiCaL version: 2.1.3
% 4.17/1.40 % (2529077)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.40 % (2529077)Time elapsed: 0.009 s
% 4.17/1.40 % (2529077)Peak memory usage: 89 MB
% 4.17/1.40 % (2529077)Instructions burned: 14 (million)
% 4.17/1.40 % (2529078)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1886775570:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 4.17/1.40 % (2529044)Refutation found. Thanks to Tanya!
% 4.17/1.40 % SZS status Theorem for theBenchmark
% 4.17/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.60 % (2529044)------------------------------
% 0.18/1.60 % (2529044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.60 % (2529044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.60 % (2529044)CaDiCaL version: 2.1.3
% 0.18/1.60 % (2529044)Termination reason: Refutation
% 0.18/1.60 % (2529044)Time elapsed: 0.686 s
% 0.18/1.60 % (2529044)Peak memory usage: 133 MB
% 0.18/1.60 % (2529044)Instructions burned: 1228 (million)
% 0.18/1.60 % (2529044)------------------------------
% 0.18/1.60 % (2529044)------------------------------
% 0.18/1.60 % (2529039)Success in time 0.992 s
% 0.18/1.60 % Vampire exiting
%------------------------------------------------------------------------------