%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP039+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 : n014.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 02:34:01 PM UTC 2026
% Result : Theorem 10.49s 2.19s
% Output : Refutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 42
% Syntax : Number of formulae : 348 ( 79 unt; 25 def)
% Number of atoms : 1323 ( 175 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1753 ( 778 ~; 838 |; 83 &)
% ( 22 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 17 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-4 aty)
% Number of variables : 281 ( 1 sgn 269 !; 12 ?)
% 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,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X2,X0)
| v3_pre_topc(X3,X0) )
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) = k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_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,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X2,X0)
| v3_pre_topc(X3,X0) )
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) = k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f50,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = u1_struct_0(X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(f57,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tex_4) ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f60,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(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f63,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f69,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(f92,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f108,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f109,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(f110,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(f112,axiom,
! [X0,X1,X2] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_xboole_1) ).
fof(f114,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(f120,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)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X1,X0)
| v3_pre_topc(X2,X0) )
=> k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_tex_4) ).
fof(f124,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f92]) ).
fof(f155,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) != k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& ( v3_pre_topc(X2,X0)
| v3_pre_topc(X3,X0) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f156,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) != k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& ( v3_pre_topc(X2,X0)
| v3_pre_topc(X3,X0) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f155]) ).
fof(f218,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f219,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f220]) ).
fof(f224,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f57]) ).
fof(f225,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f224]) ).
fof(f226,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f60]) ).
fof(f229,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f228]) ).
fof(f230,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f231,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f230]) ).
fof(f232,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f274,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f108]) ).
fof(f275,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f274]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f278,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,[],[f114]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ( ~ v3_pre_topc(X1,X0)
& ~ v3_pre_topc(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f120]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ( ~ v3_pre_topc(X1,X0)
& ~ v3_pre_topc(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f285]) ).
fof(f294,plain,
( k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),k5_subset_1(u1_struct_0(sK2),sK4,sK5)) != k5_subset_1(u1_struct_0(sK3),k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),sK4),k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),sK5))
& ( v3_pre_topc(sK4,sK2)
| v3_pre_topc(sK5,sK2) )
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2)))
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
& ~ 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,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f156]) ).
fof(f297,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f298,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f297]) ).
fof(f299,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK6(X0,X1,X2),k3_tex_4(X0,sK7(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK7(X0,X1,X2))
& m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK6(X0,X1,X2)
& m1_subset_1(sK6(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2))],[f298]) ).
fof(f320,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,[],[f109]) ).
fof(f321,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,[],[f276]) ).
fof(f322,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f294]) ).
fof(f323,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f294]) ).
fof(f324,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f294]) ).
fof(f325,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f294]) ).
fof(f326,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f294]) ).
fof(f327,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f294]) ).
fof(f328,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f294]) ).
fof(f329,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f294]) ).
fof(f330,plain,
( v3_pre_topc(sK4,sK2)
| v3_pre_topc(sK5,sK2) ),
inference(cnf_transformation,[],[f294]) ).
fof(f331,plain,
k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),k5_subset_1(u1_struct_0(sK2),sK4,sK5)) != k5_subset_1(u1_struct_0(sK3),k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),sK4),k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),sK5)),
inference(cnf_transformation,[],[f294]) ).
fof(f432,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f434,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f443,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f225]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f227]) ).
fof(f445,plain,
! [X0,X1] :
( m2_relset_1(k4_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,[],[f229]) ).
fof(f446,plain,
! [X0,X1] :
( v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f447,plain,
! [X0,X1] :
( v1_funct_2(k4_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,[],[f229]) ).
fof(f448,plain,
! [X0,X1] :
( v1_funct_1(k4_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f449,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f450,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f453,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f500,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f124]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
fof(f553,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
fof(f555,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f558,plain,
! [X2,X0,X1] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f112]) ).
fof(f560,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,[],[f278]) ).
fof(f567,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ~ 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,[],[f286]) ).
fof(f571,plain,
! [X2,X0,X1,X6] :
( k4_pre_topc(X0,X1,X2,X6) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f434]) ).
fof(f572,plain,
! [X0,X1,X6] :
( ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X6)
| 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,[],[f571]) ).
fof(f573,definition,
sF27 = k4_tsp_2(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f574,plain,
k4_tsp_2(sK2,sK3) = sF27,
inference(reorient_equations,[],[f573]) ).
fof(f575,definition,
sF28 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f576,plain,
u1_struct_0(sK2) = sF28,
inference(reorient_equations,[],[f575]) ).
fof(f577,definition,
sF29 = k5_subset_1(sF28,sK4,sK5),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f578,plain,
k5_subset_1(sF28,sK4,sK5) = sF29,
inference(reorient_equations,[],[f577]) ).
fof(f579,definition,
sF30 = k4_pre_topc(sK2,sK3,sF27,sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f580,plain,
k4_pre_topc(sK2,sK3,sF27,sF29) = sF30,
inference(reorient_equations,[],[f579]) ).
fof(f581,definition,
sF31 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f582,plain,
u1_struct_0(sK3) = sF31,
inference(reorient_equations,[],[f581]) ).
fof(f583,definition,
sF32 = k4_pre_topc(sK2,sK3,sF27,sK4),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f584,plain,
k4_pre_topc(sK2,sK3,sF27,sK4) = sF32,
inference(reorient_equations,[],[f583]) ).
fof(f585,definition,
sF33 = k4_pre_topc(sK2,sK3,sF27,sK5),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f586,plain,
k4_pre_topc(sK2,sK3,sF27,sK5) = sF33,
inference(reorient_equations,[],[f585]) ).
fof(f587,definition,
sF34 = k5_subset_1(sF31,sF32,sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f588,plain,
k5_subset_1(sF31,sF32,sF33) = sF34,
inference(reorient_equations,[],[f587]) ).
fof(f589,plain,
sF30 != sF34,
inference(definition_folding,[],[f331,f588,f586,f574,f584,f574,f582,f580,f578,f576,f574]) ).
fof(f590,definition,
sF35 = k1_zfmisc_1(sF28),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f591,plain,
k1_zfmisc_1(sF28) = sF35,
inference(reorient_equations,[],[f590]) ).
fof(f592,plain,
m1_subset_1(sK5,sF35),
inference(definition_folding,[],[f329,f591,f576]) ).
fof(f593,plain,
m1_subset_1(sK4,sF35),
inference(definition_folding,[],[f328,f591,f576]) ).
fof(f596,definition,
( spl36_1
<=> v3_pre_topc(sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f598,plain,
( v3_pre_topc(sK5,sK2)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f600,definition,
( spl36_2
<=> v3_pre_topc(sK4,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f602,plain,
( v3_pre_topc(sK4,sK2)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f603,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f330,f600,f596]) ).
fof(f604,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v3_pre_topc(X1,sK2)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f567,f576]) ).
fof(f607,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v3_pre_topc(X1,sK2)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f604,f324]) ).
fof(f609,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v3_pre_topc(X1,sK2)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f607,f323]) ).
fof(f611,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF28))
| ~ v3_pre_topc(X1,sK2)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28)) ),
inference(forward_subsumption_resolution,[],[f609,f322]) ).
fof(f613,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF35)
| ~ v3_pre_topc(X1,sK2)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f611,f591]) ).
fof(f615,plain,
! [X0,X1] :
( ~ v3_pre_topc(X1,sK2)
| ~ m1_subset_1(X0,sF35)
| ~ m1_subset_1(X1,sF35)
| k3_tex_4(sK2,k5_subset_1(sF28,X1,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,X1),k3_tex_4(sK2,X0)) ),
inference(forward_demodulation,[],[f613,f591]) ).
fof(f621,definition,
( spl36_3
<=> l1_pre_topc(sK3) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f622,plain,
( l1_pre_topc(sK3)
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( ~ l1_pre_topc(sK3)
| spl36_3 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f636,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| ~ m1_subset_1(sK4,sF35)
| k3_tex_4(sK2,k5_subset_1(sF28,sK4,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,sK4),k3_tex_4(sK2,X0)) )
| ~ spl36_2 ),
inference(resolution,[],[f615,f602]) ).
fof(f637,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_tex_4(sK2,k5_subset_1(sF28,sK4,X0)) = k5_subset_1(sF28,k3_tex_4(sK2,sK4),k3_tex_4(sK2,X0)) )
| ~ spl36_2 ),
inference(forward_subsumption_resolution,[],[f636,f593]) ).
fof(f672,definition,
( spl36_8
<=> v1_funct_1(sF27) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f674,plain,
( ~ v1_funct_1(sF27)
| spl36_8 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f676,definition,
( spl36_9
<=> m2_relset_1(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f677,plain,
( m2_relset_1(sF27,sF28,sF31)
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f680,definition,
( spl36_10
<=> m1_subset_1(sF31,sF35) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f681,plain,
( m1_subset_1(sF31,sF35)
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( ~ m1_subset_1(sF31,sF35)
| spl36_10 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f684,definition,
( spl36_11
<=> v1_funct_2(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f688,definition,
( spl36_12
<=> ! [X0] :
( k4_pre_topc(sK2,sK3,sF27,X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0))
| ~ m1_subset_1(X0,sF35) ) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f689,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k4_pre_topc(sK2,sK3,sF27,X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0)) )
| ~ spl36_12 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f696,plain,
( m1_subset_1(sF33,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(superposition,[],[f444,f586]) ).
fof(f697,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(superposition,[],[f444,f584]) ).
fof(f701,definition,
( spl36_13
<=> l1_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f703,plain,
( ~ l1_struct_0(sK3)
| spl36_13 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f709,plain,
( m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f697,f582]) ).
fof(f710,plain,
( m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f696,f582]) ).
fof(f715,definition,
( spl36_15
<=> l1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f717,plain,
( ~ l1_struct_0(sK2)
| spl36_15 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f722,plain,
( ~ v1_funct_2(sF27,u1_struct_0(sK2),sF31)
| m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f709,f582]) ).
fof(f723,plain,
( ~ v1_funct_2(sF27,u1_struct_0(sK2),sF31)
| m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f710,f582]) ).
fof(f725,plain,
( ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f722,f576]) ).
fof(f726,plain,
( ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27)
| ~ m1_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(forward_demodulation,[],[f723,f576]) ).
fof(f728,plain,
( ~ m1_relset_1(sF27,u1_struct_0(sK2),sF31)
| ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27) ),
inference(forward_demodulation,[],[f725,f582]) ).
fof(f729,plain,
( ~ m1_relset_1(sF27,u1_struct_0(sK2),sF31)
| ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27) ),
inference(forward_demodulation,[],[f726,f582]) ).
fof(f731,plain,
( ~ m1_relset_1(sF27,sF28,sF31)
| ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27) ),
inference(forward_demodulation,[],[f728,f576]) ).
fof(f732,plain,
( ~ m1_relset_1(sF27,sF28,sF31)
| ~ v1_funct_2(sF27,sF28,sF31)
| m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(sF27) ),
inference(forward_demodulation,[],[f729,f576]) ).
fof(f735,definition,
( spl36_17
<=> m1_subset_1(sF32,k1_zfmisc_1(sF31)) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f737,plain,
( m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f739,definition,
( spl36_18
<=> m1_relset_1(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f742,plain,
( ~ spl36_8
| ~ spl36_13
| ~ spl36_15
| spl36_17
| ~ spl36_11
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f731,f739,f684,f735,f715,f701,f672]) ).
fof(f744,definition,
( spl36_19
<=> m1_subset_1(sF33,k1_zfmisc_1(sF31)) ),
introduced(definition,[new_symbols(definition,[spl36_19])],[avatar_definition]) ).
fof(f746,plain,
( m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ spl36_19 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f747,plain,
( ~ spl36_8
| ~ spl36_13
| ~ spl36_15
| spl36_19
| ~ spl36_11
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f732,f739,f684,f744,f715,f701,f672]) ).
fof(f753,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f555,f325]) ).
fof(f754,plain,
m1_pre_topc(sK3,sK2),
inference(forward_subsumption_resolution,[],[f753,f322]) ).
fof(f755,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(superposition,[],[f447,f574]) ).
fof(f763,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f755,f324]) ).
fof(f765,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f763,f323]) ).
fof(f767,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f765,f322]) ).
fof(f768,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f767,f327]) ).
fof(f769,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f768,f326]) ).
fof(f770,plain,
v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(forward_subsumption_resolution,[],[f769,f754]) ).
fof(f771,plain,
v1_funct_2(sF27,u1_struct_0(sK2),sF31),
inference(forward_demodulation,[],[f770,f582]) ).
fof(f772,plain,
v1_funct_2(sF27,sF28,sF31),
inference(forward_demodulation,[],[f771,f576]) ).
fof(f773,plain,
spl36_11,
inference(avatar_split_clause,[],[f772,f684]) ).
fof(f778,plain,
! [X2,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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| 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(resolution,[],[f445,f572]) ).
fof(f779,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(superposition,[],[f445,f574]) ).
fof(f784,plain,
! [X2,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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| ~ m2_tsp_1(X1,X0) ),
inference(duplicate_literal_removal,[],[f778]) ).
fof(f788,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f779,f324]) ).
fof(f789,plain,
! [X2,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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f784,f448]) ).
fof(f791,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f788,f323]) ).
fof(f792,plain,
! [X2,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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f789,f447]) ).
fof(f794,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f791,f322]) ).
fof(f795,plain,
! [X2,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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f792,f446]) ).
fof(f796,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f794,f327]) ).
fof(f797,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f795,f555]) ).
fof(f798,plain,
( m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f796,f326]) ).
fof(f799,plain,
m2_relset_1(sF27,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(forward_subsumption_resolution,[],[f798,f754]) ).
fof(f800,plain,
m2_relset_1(sF27,u1_struct_0(sK2),sF31),
inference(forward_demodulation,[],[f799,f582]) ).
fof(f801,plain,
m2_relset_1(sF27,sF28,sF31),
inference(forward_demodulation,[],[f800,f576]) ).
fof(f802,plain,
spl36_9,
inference(avatar_split_clause,[],[f801,f676]) ).
fof(f805,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| v3_struct_0(sK2)
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(superposition,[],[f797,f576]) ).
fof(f807,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ l1_pre_topc(sK2)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| v3_struct_0(sK2)
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f805,f323]) ).
fof(f810,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| v3_struct_0(sK2)
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f807,f322]) ).
fof(f811,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f810,f324]) ).
fof(f812,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),sF35)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF28))
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_demodulation,[],[f811,f591]) ).
fof(f813,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),sF35)
| ~ m1_subset_1(X1,sF35)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK2)
| k4_pre_topc(sK2,X0,k4_tsp_2(sK2,X0),X1) = k5_subset_1(sF28,u1_struct_0(X0),k3_tex_4(sK2,X1))
| ~ m2_tsp_1(X0,sK2) ),
inference(forward_demodulation,[],[f812,f591]) ).
fof(f838,plain,
! [X0] :
( ~ m1_subset_1(sF31,sF35)
| ~ m1_subset_1(X0,sF35)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0))
| ~ m2_tsp_1(sK3,sK2) ),
inference(superposition,[],[f813,f582]) ).
fof(f839,plain,
! [X0] :
( ~ m1_subset_1(sF31,sF35)
| ~ m1_subset_1(X0,sF35)
| ~ v2_tsp_2(sK3,sK2)
| k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0))
| ~ m2_tsp_1(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f838,f327]) ).
fof(f840,plain,
! [X0] :
( ~ m1_subset_1(sF31,sF35)
| ~ m1_subset_1(X0,sF35)
| k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0))
| ~ m2_tsp_1(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f839,f326]) ).
fof(f841,plain,
! [X0] :
( ~ m1_subset_1(sF31,sF35)
| ~ m1_subset_1(X0,sF35)
| k4_pre_topc(sK2,sK3,k4_tsp_2(sK2,sK3),X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0)) ),
inference(forward_subsumption_resolution,[],[f840,f325]) ).
fof(f842,plain,
! [X0] :
( k4_pre_topc(sK2,sK3,sF27,X0) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,X0))
| ~ m1_subset_1(sF31,sF35)
| ~ m1_subset_1(X0,sF35) ),
inference(forward_demodulation,[],[f841,f574]) ).
fof(f843,plain,
( ~ spl36_10
| spl36_12 ),
inference(avatar_split_clause,[],[f842,f688,f680]) ).
fof(f852,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f453,f325]) ).
fof(f853,plain,
( ~ l1_pre_topc(sK2)
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f852,f623]) ).
fof(f854,plain,
( $false
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f853,f322]) ).
fof(f855,plain,
spl36_3,
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f856,plain,
l1_struct_0(sK2),
inference(resolution,[],[f450,f322]) ).
fof(f857,plain,
( l1_struct_0(sK3)
| ~ spl36_3 ),
inference(resolution,[],[f450,f622]) ).
fof(f858,plain,
( $false
| ~ spl36_3
| spl36_13 ),
inference(forward_subsumption_resolution,[],[f857,f703]) ).
fof(f859,plain,
( ~ spl36_3
| spl36_13 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f860,plain,
( $false
| spl36_15 ),
inference(forward_subsumption_resolution,[],[f856,f717]) ).
fof(f861,plain,
spl36_15,
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f881,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ m1_pre_topc(X0,sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f560,f576]) ).
fof(f887,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF28))
| ~ m1_pre_topc(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f881,f322]) ).
fof(f889,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF35)
| ~ m1_pre_topc(X0,sK2) ),
inference(forward_demodulation,[],[f887,f591]) ).
fof(f891,plain,
( k3_tex_4(sK2,k5_subset_1(sF28,sK4,sK5)) = k5_subset_1(sF28,k3_tex_4(sK2,sK4),k3_tex_4(sK2,sK5))
| ~ spl36_2 ),
inference(resolution,[],[f637,f592]) ).
fof(f892,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sK4),k3_tex_4(sK2,sK5)) = k3_tex_4(sK2,sF29)
| ~ spl36_2 ),
inference(forward_demodulation,[],[f891,f578]) ).
fof(f896,plain,
( m1_relset_1(sF27,sF28,sF31)
| ~ spl36_9 ),
inference(resolution,[],[f553,f677]) ).
fof(f897,plain,
( spl36_18
| ~ spl36_9 ),
inference(avatar_split_clause,[],[f896,f676,f739]) ).
fof(f908,plain,
( v1_funct_1(sF27)
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(superposition,[],[f448,f574]) ).
fof(f909,plain,
( v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f908,f674]) ).
fof(f910,plain,
( ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f909,f324]) ).
fof(f911,plain,
( ~ l1_pre_topc(sK2)
| v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f910,f323]) ).
fof(f912,plain,
( v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f911,f322]) ).
fof(f913,plain,
( ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f912,f327]) ).
fof(f914,plain,
( ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f913,f326]) ).
fof(f915,plain,
( $false
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f914,f754]) ).
fof(f916,plain,
spl36_8,
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f1005,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF31))
| k5_subset_1(sF31,X0,sF33) = k3_xboole_0(X0,sF33) )
| ~ spl36_19 ),
inference(resolution,[],[f552,f746]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF35)
| ~ m1_subset_1(X0,sF35)
| k3_xboole_0(X1,X0) = k5_subset_1(sF28,X1,X0) ),
inference(superposition,[],[f552,f591]) ).
fof(f1009,plain,
! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(sK5,X0) = k5_subset_1(sF28,sK5,X0) ),
inference(resolution,[],[f1007,f592]) ).
fof(f1010,plain,
k5_subset_1(sF28,sK5,sK4) = k3_xboole_0(sK5,sK4),
inference(resolution,[],[f1009,f593]) ).
fof(f1063,plain,
( m1_subset_1(sF31,sF35)
| ~ m1_pre_topc(sK3,sK2) ),
inference(superposition,[],[f889,f582]) ).
fof(f1064,plain,
( ~ m1_pre_topc(sK3,sK2)
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1063,f682]) ).
fof(f1070,plain,
( $false
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1064,f754]) ).
fof(f1071,plain,
spl36_10,
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1104,plain,
( k4_pre_topc(sK2,sK3,sF27,sK4) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4))
| ~ spl36_12 ),
inference(resolution,[],[f689,f593]) ).
fof(f1105,plain,
( k4_pre_topc(sK2,sK3,sF27,sK5) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK5))
| ~ spl36_12 ),
inference(resolution,[],[f689,f592]) ).
fof(f1107,plain,
( sF33 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK5))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1105,f586]) ).
fof(f1108,plain,
( sF32 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1104,f584]) ).
fof(f1112,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(sF31,X0) = k5_subset_1(sF28,sF31,X0) )
| ~ spl36_10 ),
inference(resolution,[],[f681,f1007]) ).
fof(f1162,plain,
! [X2,X0,X1] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X1,k3_xboole_0(X0,X2)),
inference(superposition,[],[f558,f432]) ).
fof(f1169,plain,
! [X2,X0,X1] : k3_xboole_0(X0,k3_xboole_0(X1,X2)) = k3_xboole_0(X1,k3_xboole_0(X0,X2)),
inference(forward_demodulation,[],[f1162,f558]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF35)
| ~ m1_subset_1(X0,sF35)
| k5_subset_1(sF28,X1,X0) = k5_subset_1(sF28,X0,X1) ),
inference(superposition,[],[f433,f591]) ).
fof(f1196,plain,
! [X0] :
( ~ m1_subset_1(X0,sF35)
| k5_subset_1(sF28,sK4,X0) = k5_subset_1(sF28,X0,sK4) ),
inference(resolution,[],[f1194,f593]) ).
fof(f1198,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k5_subset_1(sF28,sF31,X0) = k5_subset_1(sF28,X0,sF31) )
| ~ spl36_10 ),
inference(resolution,[],[f1194,f681]) ).
fof(f1209,plain,
k5_subset_1(sF28,sK4,sK5) = k5_subset_1(sF28,sK5,sK4),
inference(resolution,[],[f1196,f592]) ).
fof(f1212,plain,
k5_subset_1(sF28,sK4,sK5) = k3_xboole_0(sK5,sK4),
inference(forward_demodulation,[],[f1209,f1010]) ).
fof(f1214,plain,
sF29 = k3_xboole_0(sK5,sK4),
inference(forward_demodulation,[],[f1212,f578]) ).
fof(f1608,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),k1_zfmisc_1(sF28))
| v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF28)) ),
inference(superposition,[],[f443,f576]) ).
fof(f1617,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),k1_zfmisc_1(sF28))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF28)) ),
inference(forward_subsumption_resolution,[],[f1608,f324]) ).
fof(f1619,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),k1_zfmisc_1(sF28))
| ~ m1_subset_1(X0,k1_zfmisc_1(sF28)) ),
inference(forward_subsumption_resolution,[],[f1617,f322]) ).
fof(f1620,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),sF35)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f1619,f591]) ).
fof(f1621,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),sF35)
| ~ m1_subset_1(X0,sF35) ),
inference(forward_demodulation,[],[f1620,f591]) ).
fof(f1625,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF35)
| ~ m1_subset_1(X0,sF35)
| k3_xboole_0(k3_tex_4(sK2,X0),X1) = k5_subset_1(sF28,k3_tex_4(sK2,X0),X1) ),
inference(resolution,[],[f1621,f1007]) ).
fof(f1648,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k5_subset_1(sF28,k3_tex_4(sK2,X0),sF31) = k3_xboole_0(k3_tex_4(sK2,X0),sF31) )
| ~ spl36_10 ),
inference(resolution,[],[f1625,f681]) ).
fof(f1651,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sK4),sF31) = k3_xboole_0(k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10 ),
inference(resolution,[],[f1648,f593]) ).
fof(f1687,plain,
( m1_subset_1(sF29,k1_zfmisc_1(sF28))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF28))
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(superposition,[],[f449,f578]) ).
fof(f1710,plain,
( m1_subset_1(sF29,sF35)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF28))
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f1687,f591]) ).
fof(f1725,plain,
( ~ m1_subset_1(sK4,sF35)
| m1_subset_1(sF29,sF35)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f1710,f591]) ).
fof(f1740,plain,
( m1_subset_1(sF29,sF35)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(forward_subsumption_resolution,[],[f1725,f593]) ).
fof(f1754,plain,
( ~ m1_subset_1(sK5,sF35)
| m1_subset_1(sF29,sF35) ),
inference(forward_demodulation,[],[f1740,f591]) ).
fof(f1758,definition,
( spl36_33
<=> m1_subset_1(k3_tex_4(sK2,sF29),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_33])],[avatar_definition]) ).
fof(f1759,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sF29),sF35)
| spl36_33 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1760,plain,
( m1_subset_1(k3_tex_4(sK2,sF29),sF35)
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1762,definition,
( spl36_34
<=> m1_subset_1(k3_tex_4(sK2,sK4),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_34])],[avatar_definition]) ).
fof(f1763,plain,
( m1_subset_1(k3_tex_4(sK2,sK4),sF35)
| ~ spl36_34 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1764,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sK4),sF35)
| spl36_34 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1766,definition,
( spl36_35
<=> m1_subset_1(k3_tex_4(sK2,sK5),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_35])],[avatar_definition]) ).
fof(f1767,plain,
( m1_subset_1(k3_tex_4(sK2,sK5),sF35)
| ~ spl36_35 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1768,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sK5),sF35)
| spl36_35 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1811,plain,
m1_subset_1(sF29,sF35),
inference(forward_subsumption_resolution,[],[f1754,f592]) ).
fof(f1826,plain,
( k4_pre_topc(sK2,sK3,sF27,sF29) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29))
| ~ spl36_12 ),
inference(resolution,[],[f1811,f689]) ).
fof(f1839,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sF29),sF31) = k3_xboole_0(k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10 ),
inference(resolution,[],[f1811,f1648]) ).
fof(f1843,plain,
( sF30 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1826,f580]) ).
fof(f1868,plain,
( ~ m1_subset_1(sK5,sF35)
| spl36_35 ),
inference(resolution,[],[f1768,f1621]) ).
fof(f1869,plain,
( $false
| spl36_35 ),
inference(forward_subsumption_resolution,[],[f1868,f592]) ).
fof(f1870,plain,
spl36_35,
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1895,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(k3_tex_4(sK2,sK5),X0) = k5_subset_1(sF28,k3_tex_4(sK2,sK5),X0) )
| ~ spl36_35 ),
inference(resolution,[],[f1767,f1007]) ).
fof(f1898,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK5)) = k3_xboole_0(sF31,k3_tex_4(sK2,sK5))
| ~ spl36_10
| ~ spl36_35 ),
inference(resolution,[],[f1767,f1112]) ).
fof(f1909,plain,
( sF33 = k3_xboole_0(sF31,k3_tex_4(sK2,sK5))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_35 ),
inference(forward_demodulation,[],[f1898,f1107]) ).
fof(f1916,plain,
( ! [X0] : k3_xboole_0(X0,sF33) = k3_xboole_0(sF31,k3_xboole_0(X0,k3_tex_4(sK2,sK5)))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_35 ),
inference(superposition,[],[f1169,f1909]) ).
fof(f1917,plain,
( ! [X0] : k3_xboole_0(sF33,X0) = k3_xboole_0(sF31,k3_xboole_0(k3_tex_4(sK2,sK5),X0))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_35 ),
inference(superposition,[],[f558,f1909]) ).
fof(f1954,plain,
( ~ m1_subset_1(sK4,sF35)
| spl36_34 ),
inference(resolution,[],[f1764,f1621]) ).
fof(f1955,plain,
( $false
| spl36_34 ),
inference(forward_subsumption_resolution,[],[f1954,f593]) ).
fof(f1956,plain,
spl36_34,
inference(avatar_contradiction_clause,[],[f1955]) ).
fof(f1982,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(k3_tex_4(sK2,sK4),X0) = k5_subset_1(sF28,k3_tex_4(sK2,sK4),X0) )
| ~ spl36_34 ),
inference(resolution,[],[f1763,f1007]) ).
fof(f1985,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4)) = k3_xboole_0(sF31,k3_tex_4(sK2,sK4))
| ~ spl36_10
| ~ spl36_34 ),
inference(resolution,[],[f1763,f1112]) ).
fof(f1990,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4)) = k5_subset_1(sF28,k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10
| ~ spl36_34 ),
inference(resolution,[],[f1763,f1198]) ).
fof(f1996,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4)) = k3_xboole_0(k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10
| ~ spl36_34 ),
inference(forward_demodulation,[],[f1990,f1651]) ).
fof(f1997,plain,
( sF32 = k3_xboole_0(sF31,k3_tex_4(sK2,sK4))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34 ),
inference(forward_demodulation,[],[f1985,f1108]) ).
fof(f2001,plain,
( sF32 = k3_xboole_0(k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34 ),
inference(forward_demodulation,[],[f1996,f1108]) ).
fof(f2005,plain,
( ! [X0] : k3_xboole_0(sF32,X0) = k3_xboole_0(sF31,k3_xboole_0(k3_tex_4(sK2,sK4),X0))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34 ),
inference(superposition,[],[f558,f1997]) ).
fof(f2102,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sK4),k3_tex_4(sK2,sK5)) = k3_xboole_0(k3_tex_4(sK2,sK4),k3_tex_4(sK2,sK5))
| ~ spl36_34
| ~ spl36_35 ),
inference(resolution,[],[f1982,f1767]) ).
fof(f2116,plain,
( k3_tex_4(sK2,sF29) = k3_xboole_0(k3_tex_4(sK2,sK4),k3_tex_4(sK2,sK5))
| ~ spl36_2
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2102,f892]) ).
fof(f2126,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4)) = k3_xboole_0(k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4))
| ~ spl36_34
| ~ spl36_35 ),
inference(resolution,[],[f1895,f1763]) ).
fof(f2157,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29)) = k3_xboole_0(sF31,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_33 ),
inference(resolution,[],[f1760,f1112]) ).
fof(f2162,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29)) = k5_subset_1(sF28,k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10
| ~ spl36_33 ),
inference(resolution,[],[f1760,f1198]) ).
fof(f2173,plain,
( k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29)) = k3_xboole_0(k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2162,f1839]) ).
fof(f2174,plain,
( sF30 = k3_xboole_0(sF31,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2157,f1843]) ).
fof(f2178,plain,
( sF30 = k3_xboole_0(k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2173,f1843]) ).
fof(f2181,plain,
( ! [X0] : k3_xboole_0(X0,sF30) = k3_xboole_0(sF31,k3_xboole_0(X0,k3_tex_4(sK2,sF29)))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(superposition,[],[f1169,f2174]) ).
fof(f2182,plain,
( ! [X0] : k3_xboole_0(sF30,X0) = k3_xboole_0(sF31,k3_xboole_0(k3_tex_4(sK2,sF29),X0))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(superposition,[],[f558,f2174]) ).
fof(f2264,plain,
( k3_xboole_0(sF32,k3_tex_4(sK2,sK5)) = k3_xboole_0(sF31,k3_tex_4(sK2,sF29))
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f2005,f2116]) ).
fof(f2277,plain,
( sF30 = k3_xboole_0(sF32,k3_tex_4(sK2,sK5))
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2264,f2174]) ).
fof(f2605,plain,
( k3_xboole_0(sF31,k3_tex_4(sK2,sF29)) = k3_xboole_0(sF30,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(superposition,[],[f2182,f500]) ).
fof(f2610,plain,
( sF30 = k3_xboole_0(sF30,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2605,f2174]) ).
fof(f2639,plain,
( k3_xboole_0(sF31,sF30) = k3_xboole_0(sF30,sF30)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(superposition,[],[f2181,f2610]) ).
fof(f2643,plain,
( sF30 = k3_xboole_0(sF31,sF30)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2639,f500]) ).
fof(f2841,plain,
( k5_subset_1(sF31,sF32,sF33) = k3_xboole_0(sF32,sF33)
| ~ spl36_17
| ~ spl36_19 ),
inference(resolution,[],[f1005,f737]) ).
fof(f2845,plain,
( sF34 = k3_xboole_0(sF32,sF33)
| ~ spl36_17
| ~ spl36_19 ),
inference(forward_demodulation,[],[f2841,f588]) ).
fof(f2911,plain,
( k3_xboole_0(sF31,sF30) = k3_xboole_0(sF32,sF33)
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f1916,f2277]) ).
fof(f2937,plain,
( sF34 = k3_xboole_0(sF31,sF30)
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2911,f2845]) ).
fof(f2945,plain,
( sF30 = sF34
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2937,f2643]) ).
fof(f2946,plain,
( $false
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_subsumption_resolution,[],[f2945,f589]) ).
fof(f2947,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2959,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| ~ m1_subset_1(sK5,sF35)
| k5_subset_1(sF28,k3_tex_4(sK2,sK5),k3_tex_4(sK2,X0)) = k3_tex_4(sK2,k5_subset_1(sF28,sK5,X0)) )
| ~ spl36_1 ),
inference(resolution,[],[f598,f615]) ).
fof(f2960,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k5_subset_1(sF28,k3_tex_4(sK2,sK5),k3_tex_4(sK2,X0)) = k3_tex_4(sK2,k5_subset_1(sF28,sK5,X0)) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f2959,f592]) ).
fof(f2968,plain,
( k3_tex_4(sK2,k5_subset_1(sF28,sK5,sK4)) = k5_subset_1(sF28,k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4))
| ~ spl36_1 ),
inference(resolution,[],[f2960,f593]) ).
fof(f2983,plain,
( k3_tex_4(sK2,k5_subset_1(sF28,sK5,sK4)) = k3_xboole_0(k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4))
| ~ spl36_1
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2968,f2126]) ).
fof(f2990,plain,
( k3_tex_4(sK2,k3_xboole_0(sK5,sK4)) = k3_xboole_0(k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4))
| ~ spl36_1
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2983,f1010]) ).
fof(f2992,plain,
( k3_tex_4(sK2,sF29) = k3_xboole_0(k3_tex_4(sK2,sK5),k3_tex_4(sK2,sK4))
| ~ spl36_1
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2990,f1214]) ).
fof(f3000,plain,
( ! [X0] : k3_xboole_0(k3_tex_4(sK2,sF29),X0) = k3_xboole_0(k3_tex_4(sK2,sK5),k3_xboole_0(k3_tex_4(sK2,sK4),X0))
| ~ spl36_1
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f558,f2992]) ).
fof(f3077,plain,
( k3_xboole_0(k3_tex_4(sK2,sF29),sF31) = k3_xboole_0(k3_tex_4(sK2,sK5),sF32)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f3000,f2001]) ).
fof(f3101,plain,
( sF30 = k3_xboole_0(k3_tex_4(sK2,sK5),sF32)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f3077,f2178]) ).
fof(f3141,plain,
( k3_xboole_0(sF33,sF32) = k3_xboole_0(sF31,sF30)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f1917,f3101]) ).
fof(f3149,plain,
( sF30 = k3_xboole_0(sF33,sF32)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f3141,f2643]) ).
fof(f3150,plain,
( sF30 = k3_xboole_0(sF32,sF33)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f3149,f432]) ).
fof(f3161,plain,
( sF30 = sF34
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f3150,f2845]) ).
fof(f3168,plain,
( $false
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_subsumption_resolution,[],[f3161,f589]) ).
fof(f3169,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(avatar_contradiction_clause,[],[f3168]) ).
fof(f4288,plain,
( ~ m1_subset_1(sF29,sF35)
| spl36_33 ),
inference(resolution,[],[f1759,f1621]) ).
fof(f4289,plain,
( $false
| spl36_33 ),
inference(forward_subsumption_resolution,[],[f4288,f1811]) ).
fof(f4290,plain,
spl36_33,
inference(avatar_contradiction_clause,[],[f4289]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f603]) ).
cnf(s7,plain,
( ~ spl36_8
| ~ spl36_11
| ~ spl36_13
| ~ spl36_15
| spl36_17
| ~ spl36_18 ),
inference(sat_conversion,[],[f742]) ).
cnf(s8,plain,
( ~ spl36_8
| ~ spl36_11
| ~ spl36_13
| ~ spl36_15
| ~ spl36_18
| spl36_19 ),
inference(sat_conversion,[],[f747]) ).
cnf(s10,plain,
spl36_11,
inference(sat_conversion,[],[f773]) ).
cnf(s11,plain,
spl36_9,
inference(sat_conversion,[],[f802]) ).
cnf(s13,plain,
( ~ spl36_10
| spl36_12 ),
inference(sat_conversion,[],[f843]) ).
cnf(s14,plain,
spl36_3,
inference(sat_conversion,[],[f855]) ).
cnf(s15,plain,
( ~ spl36_3
| spl36_13 ),
inference(sat_conversion,[],[f859]) ).
cnf(s16,plain,
spl36_15,
inference(sat_conversion,[],[f861]) ).
cnf(s17,plain,
( ~ spl36_9
| spl36_18 ),
inference(sat_conversion,[],[f897]) ).
cnf(s18,plain,
spl36_8,
inference(sat_conversion,[],[f916]) ).
cnf(s21,plain,
spl36_10,
inference(sat_conversion,[],[f1071]) ).
cnf(s34,plain,
spl36_35,
inference(sat_conversion,[],[f1870]) ).
cnf(s36,plain,
spl36_34,
inference(sat_conversion,[],[f1956]) ).
cnf(s39,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(sat_conversion,[],[f2947]) ).
cnf(s43,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(sat_conversion,[],[f3169]) ).
cnf(s51,plain,
spl36_33,
inference(sat_conversion,[],[f4290]) ).
cnf(s52,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_34
| ~ spl36_35 ),
inference(rat,[],[s43,s51]) ).
cnf(s56,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_34
| ~ spl36_35 ),
inference(rat,[],[s39,s51]) ).
cnf(s61,plain,
spl36_13,
inference(rat,[],[s15,s14]) ).
cnf(s62,plain,
spl36_12,
inference(rat,[],[s13,s21]) ).
cnf(s67,plain,
spl36_18,
inference(rat,[],[s17,s11]) ).
cnf(s71,plain,
spl36_19,
inference(rat,[],[s8,s67,s16,s61,s10,s18]) ).
cnf(s72,plain,
spl36_17,
inference(rat,[],[s7,s67,s16,s61,s10,s18]) ).
cnf(s73,plain,
~ spl36_1,
inference(rat,[],[s52,s34,s36,s71,s62,s21,s72]) ).
cnf(s74,plain,
~ spl36_2,
inference(rat,[],[s56,s34,s36,s71,s62,s21,s72]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s1,s74,s73]) ).
fof(f4291,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP039+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:00:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.49/2.19 % (2071970)Detected formulas, will run a generic FOF schedule.
% 10.49/2.19 % (2071977)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=1813194277:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.49/2.19 % (2071980)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2492986166:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.49/2.19 % (2071976)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=4036787406:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.49/2.19 % (2071979)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3225172052:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.49/2.19 % (2071978)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=819966958:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.49/2.19 % (2071975)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=3839077069:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.49/2.19 % (2071981)dis-21_1_sil=8000:lcm=predicate:random_seed=508361078: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)
% 10.49/2.19 % (2071978)Refutation not found, incomplete strategy
% 10.49/2.19 % (2071978)------------------------------
% 10.49/2.19 % (2071978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071978)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071978)Termination reason: Refutation not found, incomplete strategy
% 10.49/2.19 % (2071978)Time elapsed: 0.003 s
% 10.49/2.19 % (2071978)Peak memory usage: 88 MB
% 10.49/2.19 % (2071978)Instructions burned: 3 (million)
% 10.49/2.19 % (2071979)Instruction limit reached!
% 10.49/2.19 % (2071979)------------------------------
% 10.49/2.19 % (2071979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071979)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071979)Termination reason: Instruction limit
% 10.49/2.19 % (2071979)Termination phase: Saturation
% 10.49/2.19 % (2071979)Time elapsed: 0.064 s
% 10.49/2.19 % (2071979)Peak memory usage: 88 MB
% 10.49/2.19 % (2071979)Instructions burned: 121 (million)
% 10.49/2.19 % (2071981)Instruction limit reached!
% 10.49/2.19 % (2071981)------------------------------
% 10.49/2.19 % (2071981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071981)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071981)Termination reason: Instruction limit
% 10.49/2.19 % (2071981)Termination phase: Saturation
% 10.49/2.19 % (2071981)Time elapsed: 0.072 s
% 10.49/2.19 % (2071981)Peak memory usage: 89 MB
% 10.49/2.19 % (2071981)Instructions burned: 130 (million)
% 10.49/2.19 % (2071980)Instruction limit reached!
% 10.49/2.19 % (2071980)------------------------------
% 10.49/2.19 % (2071980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071980)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071980)Termination reason: Instruction limit
% 10.49/2.19 % (2071980)Termination phase: Saturation
% 10.49/2.19 % (2071980)Time elapsed: 0.087 s
% 10.49/2.19 % (2071980)Peak memory usage: 90 MB
% 10.49/2.19 % (2071980)Instructions burned: 139 (million)
% 10.49/2.19 % (2071989)lrs+10_1_sil=8000:sp=occurrence:random_seed=3065203881:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.49/2.19 % (2071991)lrs+1011_1_sil=32000:sp=occurrence:random_seed=823011869:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.49/2.19 % (2071990)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2699097615:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.49/2.19 % (2071978)------------------------------
% 10.49/2.19 % (2071978)------------------------------
% 10.49/2.19 % (2071990)Instruction limit reached!
% 10.49/2.19 % (2071990)------------------------------
% 10.49/2.19 % (2071990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071990)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071990)Termination reason: Instruction limit
% 10.49/2.19 % (2071990)Termination phase: Saturation
% 10.49/2.19 % (2071990)Time elapsed: 0.078 s
% 10.49/2.19 % (2071990)Peak memory usage: 91 MB
% 10.49/2.19 % (2071990)Instructions burned: 158 (million)
% 10.49/2.19 % (2071989)Instruction limit reached!
% 10.49/2.19 % (2071989)------------------------------
% 10.49/2.19 % (2071989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071989)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071989)Termination reason: Instruction limit
% 10.49/2.19 % (2071989)Termination phase: Saturation
% 10.49/2.19 % (2071989)Time elapsed: 0.166 s
% 10.49/2.19 % (2071989)Peak memory usage: 92 MB
% 10.49/2.19 % (2071989)Instructions burned: 286 (million)
% 10.49/2.19 % (2071991)Instruction limit reached!
% 10.49/2.19 % (2071991)------------------------------
% 10.49/2.19 % (2071991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071991)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071991)Termination reason: Instruction limit
% 10.49/2.19 % (2071991)Termination phase: Saturation
% 10.49/2.19 % (2071991)Time elapsed: 0.167 s
% 10.49/2.19 % (2071991)Peak memory usage: 91 MB
% 10.49/2.19 % (2071991)Instructions burned: 326 (million)
% 10.49/2.19 % (2071995)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=2482912409:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.49/2.19 % (2071996)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1602260728:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.49/2.19 % (2071996)Refutation not found, incomplete strategy
% 10.49/2.19 % (2071996)------------------------------
% 10.49/2.19 % (2071996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071996)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071996)Termination reason: Refutation not found, incomplete strategy
% 10.49/2.19 % (2071996)Time elapsed: 0.033 s
% 10.49/2.19 % (2071996)Peak memory usage: 89 MB
% 10.49/2.19 % (2071996)Instructions burned: 58 (million)
% 10.49/2.19 % (2071997)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2727806814:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.49/2.19 % (2071998)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1996423103:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.49/2.19 % (2071995)Instruction limit reached!
% 10.49/2.19 % (2071995)------------------------------
% 10.49/2.19 % (2071995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071995)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071995)Termination reason: Instruction limit
% 10.49/2.19 % (2071995)Termination phase: Saturation
% 10.49/2.19 % (2071995)Time elapsed: 0.134 s
% 10.49/2.19 % (2071995)Peak memory usage: 92 MB
% 10.49/2.19 % (2071995)Instructions burned: 248 (million)
% 10.49/2.19 % (2071998)Instruction limit reached!
% 10.49/2.19 % (2071998)------------------------------
% 10.49/2.19 % (2071998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2071998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2071998)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2071998)Termination reason: Instruction limit
% 10.49/2.19 % (2071998)Termination phase: Saturation
% 10.49/2.19 % (2071998)Time elapsed: 0.071 s
% 10.49/2.19 % (2071998)Peak memory usage: 91 MB
% 10.49/2.19 % (2071998)Instructions burned: 114 (million)
% 10.49/2.19 % (2072003)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3682270725:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.49/2.19 % (2071996)------------------------------
% 10.49/2.19 % (2071996)------------------------------
% 10.49/2.19 % (2072003)Instruction limit reached!
% 10.49/2.19 % (2072003)------------------------------
% 10.49/2.19 % (2072003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2072003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2072003)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2072003)Termination reason: Instruction limit
% 10.49/2.19 % (2072003)Termination phase: Saturation
% 10.49/2.19 % (2072003)Time elapsed: 0.065 s
% 10.49/2.19 % (2072003)Peak memory usage: 89 MB
% 10.49/2.19 % (2072003)Instructions burned: 129 (million)
% 10.49/2.19 % (2072004)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1439904240:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.49/2.19 % (2072004)Instruction limit reached!
% 10.49/2.19 % (2072004)------------------------------
% 10.49/2.19 % (2072004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2072004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2072004)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2072004)Termination reason: Instruction limit
% 10.49/2.19 % (2072004)Termination phase: Saturation
% 10.49/2.19 % (2072004)Time elapsed: 0.065 s
% 10.49/2.19 % (2072004)Peak memory usage: 90 MB
% 10.49/2.19 % (2072004)Instructions burned: 114 (million)
% 10.49/2.19 % (2072006)lrs+10_1_sil=8000:sp=occurrence:random_seed=2709413069:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.49/2.19 % (2072007)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3525595567:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.49/2.19 % (2072007)Refutation not found, incomplete strategy
% 10.49/2.19 % (2072007)------------------------------
% 10.49/2.19 % (2072007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2072007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2072007)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2072007)Termination reason: Refutation not found, incomplete strategy
% 10.49/2.19 % (2072007)Time elapsed: 0.012 s
% 10.49/2.19 % (2072007)Peak memory usage: 89 MB
% 10.49/2.19 % (2072007)Instructions burned: 19 (million)
% 10.49/2.19 % (2072009)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2832569401:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.49/2.19 % (2071975)First to succeed.
% 10.49/2.19 % (2072007)------------------------------
% 10.49/2.19 % (2072007)------------------------------
% 10.49/2.19 % (2071975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2071970"
% 10.49/2.19 % (2072013)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2031845397:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.49/2.19 % (2072013)Instruction limit reached!
% 10.49/2.19 % (2072013)------------------------------
% 10.49/2.19 % (2072013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2072013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2072013)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2072013)Termination reason: Instruction limit
% 10.49/2.19 % (2072013)Termination phase: Saturation
% 10.49/2.19 % (2072013)Time elapsed: 0.070 s
% 10.49/2.19 % (2072013)Peak memory usage: 90 MB
% 10.49/2.19 % (2072013)Instructions burned: 136 (million)
% 10.49/2.19 % (2072006)Instruction limit reached!
% 10.49/2.19 % (2072006)------------------------------
% 10.49/2.19 % (2072006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.49/2.19 % (2072006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.49/2.19 % (2072006)CaDiCaL version: 2.1.3
% 10.49/2.19 % (2072006)Termination reason: Instruction limit
% 10.49/2.19 % (2072006)Termination phase: Saturation
% 10.49/2.19 % (2072006)Time elapsed: 0.479 s
% 10.49/2.19 % (2072006)Peak memory usage: 99 MB
% 10.49/2.19 % (2072006)Instructions burned: 908 (million)
% 10.49/2.19 % (2071975)Refutation found. Thanks to Tanya!
% 10.49/2.19 % SZS status Theorem for theBenchmark
% 10.49/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 11.29/2.39 % (2071975)------------------------------
% 11.29/2.39 % (2071975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.39 % (2071975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.39 % (2071975)CaDiCaL version: 2.1.3
% 11.29/2.39 % (2071975)Termination reason: Refutation
% 11.29/2.39 % (2071975)Time elapsed: 1.101 s
% 11.29/2.39 % (2071975)Peak memory usage: 136 MB
% 11.29/2.39 % (2071975)Instructions burned: 1663 (million)
% 11.29/2.39 % (2071975)------------------------------
% 11.29/2.39 % (2071975)------------------------------
% 11.29/2.39 % (2071970)Success in time 1.514 s
% 11.29/2.39 % Vampire exiting
%------------------------------------------------------------------------------