%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP040+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:34:02 PM UTC 2026
% Result : Theorem 7.70s 1.95s
% Output : Refutation 9.60s
% 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)))
=> ( ( v4_pre_topc(X2,X0)
| v4_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/sandbox/benchmark/theBenchmark.p',t33_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)))
=> ( ( v4_pre_topc(X2,X0)
| v4_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f63,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f92,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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)))
=> ( ( v4_pre_topc(X1,X0)
| v4_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/sandbox/benchmark/theBenchmark.p',t66_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))
& ( v4_pre_topc(X2,X0)
| v4_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))
& ( v4_pre_topc(X2,X0)
| v4_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))
| ( ~ v4_pre_topc(X1,X0)
& ~ v4_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))
| ( ~ v4_pre_topc(X1,X0)
& ~ v4_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))
& ( v4_pre_topc(sK4,sK2)
| v4_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,
( v4_pre_topc(sK4,sK2)
| v4_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)))
| ~ v4_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
<=> v4_pre_topc(sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f598,plain,
( v4_pre_topc(sK5,sK2)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f600,definition,
( spl36_2
<=> v4_pre_topc(sK4,sK2) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f602,plain,
( v4_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))
| ~ v4_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))
| ~ v4_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))
| ~ v4_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))
| ~ v4_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)
| ~ v4_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] :
( ~ v4_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(f670,definition,
( spl36_8
<=> v1_funct_1(sF27) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f672,plain,
( ~ v1_funct_1(sF27)
| spl36_8 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f674,definition,
( spl36_9
<=> m2_relset_1(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f675,plain,
( m2_relset_1(sF27,sF28,sF31)
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f678,definition,
( spl36_10
<=> m1_subset_1(sF31,sF35) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f679,plain,
( m1_subset_1(sF31,sF35)
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( ~ m1_subset_1(sF31,sF35)
| spl36_10 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f682,definition,
( spl36_11
<=> v1_funct_2(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f686,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(f687,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,[],[f686]) ).
fof(f692,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(f693,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(f697,definition,
( spl36_13
<=> l1_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f699,plain,
( ~ l1_struct_0(sK3)
| spl36_13 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f705,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,[],[f693,f582]) ).
fof(f706,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,[],[f692,f582]) ).
fof(f711,definition,
( spl36_15
<=> l1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f713,plain,
( ~ l1_struct_0(sK2)
| spl36_15 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f718,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,[],[f705,f582]) ).
fof(f719,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,[],[f706,f582]) ).
fof(f721,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,[],[f718,f576]) ).
fof(f722,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,[],[f719,f576]) ).
fof(f724,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,[],[f721,f582]) ).
fof(f725,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,[],[f722,f582]) ).
fof(f727,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,[],[f724,f576]) ).
fof(f728,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,[],[f725,f576]) ).
fof(f731,definition,
( spl36_17
<=> m1_subset_1(sF32,k1_zfmisc_1(sF31)) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f733,plain,
( m1_subset_1(sF32,k1_zfmisc_1(sF31))
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f735,definition,
( spl36_18
<=> m1_relset_1(sF27,sF28,sF31) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f738,plain,
( ~ spl36_8
| ~ spl36_13
| ~ spl36_15
| spl36_17
| ~ spl36_11
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f727,f735,f682,f731,f711,f697,f670]) ).
fof(f740,definition,
( spl36_19
<=> m1_subset_1(sF33,k1_zfmisc_1(sF31)) ),
introduced(definition,[new_symbols(definition,[spl36_19])],[avatar_definition]) ).
fof(f742,plain,
( m1_subset_1(sF33,k1_zfmisc_1(sF31))
| ~ spl36_19 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f743,plain,
( ~ spl36_8
| ~ spl36_13
| ~ spl36_15
| spl36_19
| ~ spl36_11
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f728,f735,f682,f740,f711,f697,f670]) ).
fof(f749,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(f750,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,[],[f749,f593]) ).
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(f759,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(f767,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,[],[f759,f324]) ).
fof(f769,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,[],[f767,f323]) ).
fof(f771,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,[],[f769,f322]) ).
fof(f772,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,[],[f771,f327]) ).
fof(f773,plain,
( v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_pre_topc(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f772,f326]) ).
fof(f774,plain,
v1_funct_2(sF27,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(forward_subsumption_resolution,[],[f773,f754]) ).
fof(f775,plain,
v1_funct_2(sF27,u1_struct_0(sK2),sF31),
inference(forward_demodulation,[],[f774,f582]) ).
fof(f776,plain,
v1_funct_2(sF27,sF28,sF31),
inference(forward_demodulation,[],[f775,f576]) ).
fof(f777,plain,
spl36_11,
inference(avatar_split_clause,[],[f776,f682]) ).
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,f674]) ).
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,f686,f678]) ).
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,f699]) ).
fof(f859,plain,
( ~ spl36_3
| spl36_13 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f860,plain,
( $false
| spl36_15 ),
inference(forward_subsumption_resolution,[],[f856,f713]) ).
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,[],[f750,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,f675]) ).
fof(f897,plain,
( spl36_18
| ~ spl36_9 ),
inference(avatar_split_clause,[],[f896,f674,f735]) ).
fof(f898,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(f899,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,[],[f898,f672]) ).
fof(f900,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,[],[f899,f324]) ).
fof(f901,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,[],[f900,f323]) ).
fof(f902,plain,
( v3_struct_0(sK3)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f901,f322]) ).
fof(f903,plain,
( ~ v2_tsp_2(sK3,sK2)
| ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f902,f327]) ).
fof(f904,plain,
( ~ m1_pre_topc(sK3,sK2)
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f903,f326]) ).
fof(f905,plain,
( $false
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f904,f754]) ).
fof(f906,plain,
spl36_8,
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f1029,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,f742]) ).
fof(f1032,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(f1034,plain,
! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(sK5,X0) = k5_subset_1(sF28,sK5,X0) ),
inference(resolution,[],[f1032,f592]) ).
fof(f1035,plain,
k5_subset_1(sF28,sK5,sK4) = k3_xboole_0(sK5,sK4),
inference(resolution,[],[f1034,f593]) ).
fof(f1062,plain,
( m1_subset_1(sF31,sF35)
| ~ m1_pre_topc(sK3,sK2) ),
inference(superposition,[],[f889,f582]) ).
fof(f1063,plain,
( ~ m1_pre_topc(sK3,sK2)
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1062,f680]) ).
fof(f1069,plain,
( $false
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1063,f754]) ).
fof(f1070,plain,
spl36_10,
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1103,plain,
( k4_pre_topc(sK2,sK3,sF27,sK4) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4))
| ~ spl36_12 ),
inference(resolution,[],[f687,f593]) ).
fof(f1104,plain,
( k4_pre_topc(sK2,sK3,sF27,sK5) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK5))
| ~ spl36_12 ),
inference(resolution,[],[f687,f592]) ).
fof(f1106,plain,
( sF33 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK5))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1104,f586]) ).
fof(f1107,plain,
( sF32 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sK4))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1103,f584]) ).
fof(f1111,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF35)
| k3_xboole_0(sF31,X0) = k5_subset_1(sF28,sF31,X0) )
| ~ spl36_10 ),
inference(resolution,[],[f679,f1032]) ).
fof(f1167,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(f1174,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,[],[f1167,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,f679]) ).
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,f1035]) ).
fof(f1214,plain,
sF29 = k3_xboole_0(sK5,sK4),
inference(forward_demodulation,[],[f1212,f578]) ).
fof(f1600,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(f1608,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,[],[f1600,f324]) ).
fof(f1610,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,[],[f1608,f322]) ).
fof(f1611,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),sF35)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f1610,f591]) ).
fof(f1612,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK2,X0),sF35)
| ~ m1_subset_1(X0,sF35) ),
inference(forward_demodulation,[],[f1611,f591]) ).
fof(f1616,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,[],[f1612,f1032]) ).
fof(f1639,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,[],[f1616,f679]) ).
fof(f1642,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sK4),sF31) = k3_xboole_0(k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10 ),
inference(resolution,[],[f1639,f593]) ).
fof(f1677,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(f1700,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,[],[f1677,f591]) ).
fof(f1715,plain,
( ~ m1_subset_1(sK4,sF35)
| m1_subset_1(sF29,sF35)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(forward_demodulation,[],[f1700,f591]) ).
fof(f1730,plain,
( m1_subset_1(sF29,sF35)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF28)) ),
inference(forward_subsumption_resolution,[],[f1715,f593]) ).
fof(f1744,plain,
( ~ m1_subset_1(sK5,sF35)
| m1_subset_1(sF29,sF35) ),
inference(forward_demodulation,[],[f1730,f591]) ).
fof(f1748,definition,
( spl36_33
<=> m1_subset_1(k3_tex_4(sK2,sF29),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_33])],[avatar_definition]) ).
fof(f1749,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sF29),sF35)
| spl36_33 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1750,plain,
( m1_subset_1(k3_tex_4(sK2,sF29),sF35)
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1752,definition,
( spl36_34
<=> m1_subset_1(k3_tex_4(sK2,sK4),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_34])],[avatar_definition]) ).
fof(f1753,plain,
( m1_subset_1(k3_tex_4(sK2,sK4),sF35)
| ~ spl36_34 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1754,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sK4),sF35)
| spl36_34 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1756,definition,
( spl36_35
<=> m1_subset_1(k3_tex_4(sK2,sK5),sF35) ),
introduced(definition,[new_symbols(definition,[spl36_35])],[avatar_definition]) ).
fof(f1757,plain,
( m1_subset_1(k3_tex_4(sK2,sK5),sF35)
| ~ spl36_35 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1758,plain,
( ~ m1_subset_1(k3_tex_4(sK2,sK5),sF35)
| spl36_35 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1801,plain,
m1_subset_1(sF29,sF35),
inference(forward_subsumption_resolution,[],[f1744,f592]) ).
fof(f1815,plain,
( k4_pre_topc(sK2,sK3,sF27,sF29) = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29))
| ~ spl36_12 ),
inference(resolution,[],[f1801,f687]) ).
fof(f1829,plain,
( k5_subset_1(sF28,k3_tex_4(sK2,sF29),sF31) = k3_xboole_0(k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10 ),
inference(resolution,[],[f1801,f1639]) ).
fof(f1834,plain,
( sF30 = k5_subset_1(sF28,sF31,k3_tex_4(sK2,sF29))
| ~ spl36_12 ),
inference(forward_demodulation,[],[f1815,f580]) ).
fof(f1858,plain,
( ~ m1_subset_1(sK5,sF35)
| spl36_35 ),
inference(resolution,[],[f1758,f1612]) ).
fof(f1859,plain,
( $false
| spl36_35 ),
inference(forward_subsumption_resolution,[],[f1858,f592]) ).
fof(f1860,plain,
spl36_35,
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1885,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,[],[f1757,f1032]) ).
fof(f1888,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,[],[f1757,f1111]) ).
fof(f1899,plain,
( sF33 = k3_xboole_0(sF31,k3_tex_4(sK2,sK5))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_35 ),
inference(forward_demodulation,[],[f1888,f1106]) ).
fof(f1906,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,[],[f1174,f1899]) ).
fof(f1907,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,f1899]) ).
fof(f1944,plain,
( ~ m1_subset_1(sK4,sF35)
| spl36_34 ),
inference(resolution,[],[f1754,f1612]) ).
fof(f1945,plain,
( $false
| spl36_34 ),
inference(forward_subsumption_resolution,[],[f1944,f593]) ).
fof(f1946,plain,
spl36_34,
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1972,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,[],[f1753,f1032]) ).
fof(f1975,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,[],[f1753,f1111]) ).
fof(f1980,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,[],[f1753,f1198]) ).
fof(f1986,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,[],[f1980,f1642]) ).
fof(f1987,plain,
( sF32 = k3_xboole_0(sF31,k3_tex_4(sK2,sK4))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34 ),
inference(forward_demodulation,[],[f1975,f1107]) ).
fof(f1991,plain,
( sF32 = k3_xboole_0(k3_tex_4(sK2,sK4),sF31)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_34 ),
inference(forward_demodulation,[],[f1986,f1107]) ).
fof(f1995,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,f1987]) ).
fof(f2092,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,[],[f1972,f1757]) ).
fof(f2106,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,[],[f2092,f892]) ).
fof(f2116,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,[],[f1885,f1753]) ).
fof(f2147,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,[],[f1750,f1111]) ).
fof(f2152,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,[],[f1750,f1198]) ).
fof(f2163,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,[],[f2152,f1829]) ).
fof(f2164,plain,
( sF30 = k3_xboole_0(sF31,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2147,f1834]) ).
fof(f2168,plain,
( sF30 = k3_xboole_0(k3_tex_4(sK2,sF29),sF31)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2163,f1834]) ).
fof(f2171,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,[],[f1174,f2164]) ).
fof(f2172,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,f2164]) ).
fof(f2254,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,[],[f1995,f2106]) ).
fof(f2267,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,[],[f2254,f2164]) ).
fof(f2585,plain,
( k5_subset_1(sF31,sF32,sF33) = k3_xboole_0(sF32,sF33)
| ~ spl36_17
| ~ spl36_19 ),
inference(resolution,[],[f1029,f733]) ).
fof(f2589,plain,
( sF34 = k3_xboole_0(sF32,sF33)
| ~ spl36_17
| ~ spl36_19 ),
inference(forward_demodulation,[],[f2585,f588]) ).
fof(f2609,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,[],[f2172,f500]) ).
fof(f2614,plain,
( sF30 = k3_xboole_0(sF30,k3_tex_4(sK2,sF29))
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2609,f2164]) ).
fof(f2643,plain,
( k3_xboole_0(sF31,sF30) = k3_xboole_0(sF30,sF30)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(superposition,[],[f2171,f2614]) ).
fof(f2647,plain,
( sF30 = k3_xboole_0(sF31,sF30)
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33 ),
inference(forward_demodulation,[],[f2643,f500]) ).
fof(f2900,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,[],[f1906,f2267]) ).
fof(f2926,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,[],[f2900,f2589]) ).
fof(f2934,plain,
( sF30 = sF34
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f2926,f2647]) ).
fof(f2935,plain,
( $false
| ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_subsumption_resolution,[],[f2934,f589]) ).
fof(f2936,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
fof(f2948,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(f2949,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,[],[f2948,f592]) ).
fof(f2957,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,[],[f2949,f593]) ).
fof(f2972,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,[],[f2957,f2116]) ).
fof(f2979,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,[],[f2972,f1035]) ).
fof(f2981,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,[],[f2979,f1214]) ).
fof(f2989,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,f2981]) ).
fof(f3066,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,[],[f2989,f1991]) ).
fof(f3090,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,[],[f3066,f2168]) ).
fof(f3130,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,[],[f1907,f3090]) ).
fof(f3138,plain,
( sF30 = k3_xboole_0(sF33,sF32)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f3130,f2647]) ).
fof(f3139,plain,
( sF30 = k3_xboole_0(sF32,sF33)
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(superposition,[],[f3138,f432]) ).
fof(f3150,plain,
( sF30 = sF34
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_demodulation,[],[f3139,f2589]) ).
fof(f3157,plain,
( $false
| ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(forward_subsumption_resolution,[],[f3150,f589]) ).
fof(f3158,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f4359,plain,
( ~ m1_subset_1(sF29,sF35)
| spl36_33 ),
inference(resolution,[],[f1749,f1612]) ).
fof(f4360,plain,
( $false
| spl36_33 ),
inference(forward_subsumption_resolution,[],[f4359,f1801]) ).
fof(f4361,plain,
spl36_33,
inference(avatar_contradiction_clause,[],[f4360]) ).
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,[],[f738]) ).
cnf(s8,plain,
( ~ spl36_8
| ~ spl36_11
| ~ spl36_13
| ~ spl36_15
| ~ spl36_18
| spl36_19 ),
inference(sat_conversion,[],[f743]) ).
cnf(s10,plain,
spl36_11,
inference(sat_conversion,[],[f777]) ).
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,[],[f906]) ).
cnf(s21,plain,
spl36_10,
inference(sat_conversion,[],[f1070]) ).
cnf(s34,plain,
spl36_35,
inference(sat_conversion,[],[f1860]) ).
cnf(s36,plain,
spl36_34,
inference(sat_conversion,[],[f1946]) ).
cnf(s39,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s43,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_33
| ~ spl36_34
| ~ spl36_35 ),
inference(sat_conversion,[],[f3158]) ).
cnf(s49,plain,
spl36_33,
inference(sat_conversion,[],[f4361]) ).
cnf(s50,plain,
( ~ spl36_1
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_34
| ~ spl36_35 ),
inference(rat,[],[s43,s49]) ).
cnf(s54,plain,
( ~ spl36_2
| ~ spl36_10
| ~ spl36_12
| ~ spl36_17
| ~ spl36_19
| ~ spl36_34
| ~ spl36_35 ),
inference(rat,[],[s39,s49]) ).
cnf(s59,plain,
spl36_13,
inference(rat,[],[s15,s14]) ).
cnf(s60,plain,
spl36_12,
inference(rat,[],[s13,s21]) ).
cnf(s65,plain,
spl36_18,
inference(rat,[],[s17,s11]) ).
cnf(s69,plain,
spl36_19,
inference(rat,[],[s8,s65,s16,s59,s10,s18]) ).
cnf(s70,plain,
spl36_17,
inference(rat,[],[s7,s65,s16,s59,s10,s18]) ).
cnf(s71,plain,
~ spl36_1,
inference(rat,[],[s50,s34,s36,s69,s60,s21,s70]) ).
cnf(s72,plain,
~ spl36_2,
inference(rat,[],[s54,s34,s36,s69,s60,s21,s70]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s1,s72,s71]) ).
fof(f4362,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP040+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n001.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 19:07:18 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.70/1.95 % (631456)Detected formulas, will run a generic FOF schedule.
% 7.70/1.95 % (631461)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=2801195108:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.70/1.95 % (631466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=244931268:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.70/1.95 % (631467)dis-21_1_sil=8000:lcm=predicate:random_seed=1091267560: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)
% 7.70/1.95 % (631462)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=3816895190:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.70/1.95 % (631463)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=434736767:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.70/1.95 % (631464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1323563199:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.70/1.95 % (631465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=150621579:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.70/1.95 % (631464)Refutation not found, incomplete strategy
% 7.70/1.95 % (631464)------------------------------
% 7.70/1.95 % (631464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631464)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631464)Termination reason: Refutation not found, incomplete strategy
% 7.70/1.95 % (631464)Time elapsed: 0.003 s
% 7.70/1.95 % (631464)Peak memory usage: 88 MB
% 7.70/1.95 % (631464)Instructions burned: 3 (million)
% 7.70/1.95 % (631465)Instruction limit reached!
% 7.70/1.95 % (631465)------------------------------
% 7.70/1.95 % (631465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631465)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631465)Termination reason: Instruction limit
% 7.70/1.95 % (631465)Termination phase: Saturation
% 7.70/1.95 % (631465)Time elapsed: 0.065 s
% 7.70/1.95 % (631465)Peak memory usage: 88 MB
% 7.70/1.95 % (631465)Instructions burned: 121 (million)
% 7.70/1.95 % (631467)Instruction limit reached!
% 7.70/1.95 % (631467)------------------------------
% 7.70/1.95 % (631467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631467)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631467)Termination reason: Instruction limit
% 7.70/1.95 % (631467)Termination phase: Saturation
% 7.70/1.95 % (631467)Time elapsed: 0.073 s
% 7.70/1.95 % (631467)Peak memory usage: 89 MB
% 7.70/1.95 % (631467)Instructions burned: 130 (million)
% 7.70/1.95 % (631466)Instruction limit reached!
% 7.70/1.95 % (631466)------------------------------
% 7.70/1.95 % (631466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631466)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631466)Termination reason: Instruction limit
% 7.70/1.95 % (631466)Termination phase: Saturation
% 7.70/1.95 % (631466)Time elapsed: 0.089 s
% 7.70/1.95 % (631466)Peak memory usage: 90 MB
% 7.70/1.95 % (631466)Instructions burned: 140 (million)
% 7.70/1.95 % (631475)lrs+10_1_sil=8000:sp=occurrence:random_seed=2138742548:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.70/1.95 % (631476)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1944438249:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.70/1.95 % (631464)------------------------------
% 7.70/1.95 % (631464)------------------------------
% 7.70/1.95 % (631477)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3796099993:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.70/1.95 % (631476)Instruction limit reached!
% 7.70/1.95 % (631476)------------------------------
% 7.70/1.95 % (631476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631476)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631476)Termination reason: Instruction limit
% 7.70/1.95 % (631476)Termination phase: Saturation
% 7.70/1.95 % (631476)Time elapsed: 0.079 s
% 7.70/1.95 % (631476)Peak memory usage: 90 MB
% 7.70/1.95 % (631476)Instructions burned: 158 (million)
% 7.70/1.95 % (631477)Instruction limit reached!
% 7.70/1.95 % (631477)------------------------------
% 7.70/1.95 % (631477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631477)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631477)Termination reason: Instruction limit
% 7.70/1.95 % (631477)Termination phase: Saturation
% 7.70/1.95 % (631477)Time elapsed: 0.115 s
% 7.70/1.95 % (631477)Peak memory usage: 90 MB
% 7.70/1.95 % (631477)Instructions burned: 326 (million)
% 7.70/1.95 % (631475)Instruction limit reached!
% 7.70/1.95 % (631475)------------------------------
% 7.70/1.95 % (631475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631475)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631475)Termination reason: Instruction limit
% 7.70/1.95 % (631475)Termination phase: Saturation
% 7.70/1.95 % (631475)Time elapsed: 0.167 s
% 7.70/1.95 % (631475)Peak memory usage: 92 MB
% 7.70/1.95 % (631475)Instructions burned: 287 (million)
% 7.70/1.95 % (631481)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=3808476577:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.70/1.95 % (631482)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3256006199:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.70/1.95 % (631483)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3838488676:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.70/1.95 % (631482)Refutation not found, incomplete strategy
% 7.70/1.95 % (631482)------------------------------
% 7.70/1.95 % (631482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631482)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631482)Termination reason: Refutation not found, incomplete strategy
% 7.70/1.95 % (631482)Time elapsed: 0.035 s
% 7.70/1.95 % (631482)Peak memory usage: 89 MB
% 7.70/1.95 % (631482)Instructions burned: 58 (million)
% 7.70/1.95 % (631481)Instruction limit reached!
% 7.70/1.95 % (631481)------------------------------
% 7.70/1.95 % (631481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631481)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631481)Termination reason: Instruction limit
% 7.70/1.95 % (631481)Termination phase: Saturation
% 7.70/1.95 % (631481)Time elapsed: 0.135 s
% 7.70/1.95 % (631481)Peak memory usage: 92 MB
% 7.70/1.95 % (631481)Instructions burned: 249 (million)
% 7.70/1.95 % (631484)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3565328495:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.70/1.95 % (631484)Instruction limit reached!
% 7.70/1.95 % (631484)------------------------------
% 7.70/1.95 % (631484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631484)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631484)Termination reason: Instruction limit
% 7.70/1.95 % (631484)Termination phase: Saturation
% 7.70/1.95 % (631484)Time elapsed: 0.073 s
% 7.70/1.95 % (631484)Peak memory usage: 91 MB
% 7.70/1.95 % (631484)Instructions burned: 113 (million)
% 7.70/1.95 % (631488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3004698792:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.70/1.95 % (631482)------------------------------
% 7.70/1.95 % (631482)------------------------------
% 7.70/1.95 % (631488)Instruction limit reached!
% 7.70/1.95 % (631488)------------------------------
% 7.70/1.95 % (631488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631488)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631488)Termination reason: Instruction limit
% 7.70/1.95 % (631488)Termination phase: Saturation
% 7.70/1.95 % (631488)Time elapsed: 0.067 s
% 7.70/1.95 % (631488)Peak memory usage: 89 MB
% 7.70/1.95 % (631488)Instructions burned: 129 (million)
% 7.70/1.95 % (631490)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2987716849:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.70/1.95 % (631461)First to succeed.
% 7.70/1.95 % (631461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-631456"
% 7.70/1.95 % (631490)Instruction limit reached!
% 7.70/1.95 % (631490)------------------------------
% 7.70/1.95 % (631490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631490)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631490)Termination reason: Instruction limit
% 7.70/1.95 % (631490)Termination phase: Saturation
% 7.70/1.95 % (631490)Time elapsed: 0.066 s
% 7.70/1.95 % (631490)Peak memory usage: 90 MB
% 7.70/1.95 % (631490)Instructions burned: 115 (million)
% 7.70/1.95 % (631492)lrs+10_1_sil=8000:sp=occurrence:random_seed=1333796155:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.70/1.95 % (631494)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=944774224:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.70/1.95 % (631494)Refutation not found, incomplete strategy
% 7.70/1.95 % (631494)------------------------------
% 7.70/1.95 % (631494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.95 % (631494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.95 % (631494)CaDiCaL version: 2.1.3
% 7.70/1.95 % (631494)Termination reason: Refutation not found, incomplete strategy
% 7.70/1.95 % (631494)Time elapsed: 0.012 s
% 7.70/1.95 % (631494)Peak memory usage: 89 MB
% 7.70/1.95 % (631494)Instructions burned: 19 (million)
% 7.70/1.95 % (631495)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3775740954:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.70/1.95 % (631461)Refutation found. Thanks to Tanya!
% 7.70/1.95 % SZS status Theorem for theBenchmark
% 7.70/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.60/2.05 % (631461)------------------------------
% 9.60/2.05 % (631461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.05 % (631461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.05 % (631461)CaDiCaL version: 2.1.3
% 9.60/2.05 % (631461)Termination reason: Refutation
% 9.60/2.05 % (631461)Time elapsed: 0.890 s
% 9.60/2.05 % (631461)Peak memory usage: 137 MB
% 9.60/2.05 % (631461)Instructions burned: 1685 (million)
% 9.60/2.05 % (631461)------------------------------
% 9.60/2.05 % (631461)------------------------------
% 9.60/2.05 % (631456)Success in time 1.286 s
% 9.60/2.05 % Vampire exiting
%------------------------------------------------------------------------------