%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP042+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:34:28 PM UTC 2026
% Result : Theorem 29.06s 6.63s
% Output : Refutation 29.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 21
% Syntax : Number of formulae : 195 ( 46 unt; 6 def)
% Number of atoms : 948 ( 118 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1274 ( 521 ~; 569 |; 140 &)
% ( 13 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 258 ( 236 !; 22 ?)
% 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)))
=> ( v4_pre_topc(X2,X0)
=> v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_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)))
=> ( v4_pre_topc(X2,X0)
=> v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
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(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(f53,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ( m2_tsp_1(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tsp_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f60,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(f61,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(f64,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f70,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(f108,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) )
=> k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_tsp_2) ).
fof(f109,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(f110,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(f111,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(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)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f154,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v4_pre_topc(X2,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(f155,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v4_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v4_pre_topc(X2,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,[],[f154]) ).
fof(f219,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(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(flattening,[],[f219]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f222,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f223,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f222]) ).
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,[],[f60]) ).
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,[],[f61]) ).
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(f232,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f272,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f273,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f272]) ).
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,[],[f109]) ).
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,[],[f111]) ).
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(f284,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f284]) ).
fof(f291,definition,
! [X0,X1] :
( sP1(X0,X1)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f292,definition,
! [X1,X0] :
( ( m2_tsp_1(X1,X0)
<=> sP1(X0,X1) )
| ~ sP2(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( sP2(X1,X0)
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f221,f292,f291]) ).
fof(f296,plain,
( ~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5)
& v4_pre_topc(sK6,sK4)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v3_struct_0(sK5)
& v2_tsp_2(sK5,sK4)
& m2_tsp_1(sK5,sK4)
& ~ v3_struct_0(sK4)
& v2_pre_topc(sK4)
& l1_pre_topc(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f155]) ).
fof(f299,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,[],[f220]) ).
fof(f300,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,[],[f299]) ).
fof(f301,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,sK8(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK7(X0,X1,X2)
& m1_subset_1(sK7(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,[sK7,sK8]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2))],[f300]) ).
fof(f302,plain,
! [X1,X0] :
( ( ( m2_tsp_1(X1,X0)
| ~ sP1(X0,X1) )
& ( sP1(X0,X1)
| ~ m2_tsp_1(X1,X0) ) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f292]) ).
fof(f303,plain,
! [X0,X1] :
( ( ( m2_tsp_1(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ m2_tsp_1(X0,X1) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f302]) ).
fof(f304,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f291]) ).
fof(f305,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( ( v4_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v4_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ sP1(X0,X1) ) ),
inference(flattening,[],[f304]) ).
fof(f306,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v4_pre_topc(X2,X1) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X4,X0)
& k3_xboole_0(X4,u1_struct_0(X1)) = X2 )
| v4_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X5] :
( ( ( v4_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5 ) )
& ( ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(X7,X0)
& k3_xboole_0(X7,u1_struct_0(X1)) = X5 )
| ~ v4_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f305]) ).
fof(f307,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != sK9(X0,X1) )
| ~ v4_pre_topc(sK9(X0,X1),X1) )
& ( ( m1_subset_1(sK10(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(sK10(X0,X1),X0)
& sK9(X0,X1) = k3_xboole_0(sK10(X0,X1),u1_struct_0(X1)) )
| v4_pre_topc(sK9(X0,X1),X1) )
& m1_subset_1(sK9(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X5] :
( ( ( v4_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5 ) )
& ( ( m1_subset_1(sK11(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0)))
& v4_pre_topc(sK11(X0,X1,X5),X0)
& k3_xboole_0(sK11(X0,X1,X5),u1_struct_0(X1)) = X5 )
| ~ v4_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X2,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X7,sK11(X0,X1,X5))],[f306]) ).
fof(f328,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,[],[f110]) ).
fof(f329,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(f331,plain,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f332,plain,
v2_pre_topc(sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f333,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f334,plain,
m2_tsp_1(sK5,sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f335,plain,
v2_tsp_2(sK5,sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f336,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f296]) ).
fof(f337,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f296]) ).
fof(f338,plain,
v4_pre_topc(sK6,sK4),
inference(cnf_transformation,[],[f296]) ).
fof(f339,plain,
~ v4_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5),
inference(cnf_transformation,[],[f296]) ).
fof(f440,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f442,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,[],[f301]) ).
fof(f447,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f452,plain,
! [X0,X1,X6,X5] :
( v4_pre_topc(X5,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f307]) ).
fof(f459,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f460,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f462,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f465,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(f467,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(f469,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(f471,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f474,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f572,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f573,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(f574,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f328]) ).
fof(f576,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f580,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(f587,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f591,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,[],[f442]) ).
fof(f592,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,[],[f591]) ).
fof(f593,plain,
! [X0,X1,X6] :
( ~ m1_subset_1(k3_xboole_0(X6,u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X6,X0)
| v4_pre_topc(k3_xboole_0(X6,u1_struct_0(X1)),X1)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f452]) ).
fof(f594,definition,
sF31 = k4_tsp_2(sK4,sK5),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f595,plain,
k4_tsp_2(sK4,sK5) = sF31,
inference(reorient_equations,[],[f594]) ).
fof(f596,definition,
sF32 = k4_pre_topc(sK4,sK5,sF31,sK6),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f597,plain,
k4_pre_topc(sK4,sK5,sF31,sK6) = sF32,
inference(reorient_equations,[],[f596]) ).
fof(f598,plain,
~ v4_pre_topc(sF32,sK5),
inference(definition_folding,[],[f339,f597,f595]) ).
fof(f599,definition,
sF33 = u1_struct_0(sK4),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f600,plain,
u1_struct_0(sK4) = sF33,
inference(reorient_equations,[],[f599]) ).
fof(f601,definition,
sF34 = k1_zfmisc_1(sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f602,plain,
k1_zfmisc_1(sF33) = sF34,
inference(reorient_equations,[],[f601]) ).
fof(f603,plain,
m1_subset_1(sK6,sF34),
inference(definition_folding,[],[f337,f602,f600]) ).
fof(f627,plain,
l1_struct_0(sK4),
inference(resolution,[],[f471,f331]) ).
fof(f897,plain,
( l1_pre_topc(sK5)
| ~ l1_pre_topc(sK4) ),
inference(resolution,[],[f474,f334]) ).
fof(f900,plain,
l1_pre_topc(sK5),
inference(forward_subsumption_resolution,[],[f897,f331]) ).
fof(f902,plain,
l1_struct_0(sK5),
inference(resolution,[],[f900,f471]) ).
fof(f1124,plain,
( m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4) ),
inference(resolution,[],[f576,f334]) ).
fof(f1127,plain,
m1_pre_topc(sK5,sK4),
inference(forward_subsumption_resolution,[],[f1124,f331]) ).
fof(f1167,plain,
! [X0,X1] :
( ~ m2_tsp_1(X0,X1)
| sP1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f447,f459]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ m2_tsp_1(X0,X1)
| sP1(X1,X0)
| ~ l1_pre_topc(X1) ),
inference(forward_subsumption_resolution,[],[f1167,f474]) ).
fof(f1363,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF33))
| ~ m1_pre_topc(X0,sK4)
| ~ l1_pre_topc(sK4) ),
inference(superposition,[],[f580,f600]) ).
fof(f1364,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF33))
| ~ m1_pre_topc(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f1363,f331]) ).
fof(f1366,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF34)
| ~ m1_pre_topc(X0,sK4) ),
inference(forward_demodulation,[],[f1364,f602]) ).
fof(f1730,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF34)
| ~ m1_subset_1(X0,sF34)
| k3_xboole_0(X1,X0) = k5_subset_1(sF33,X1,X0) ),
inference(superposition,[],[f573,f602]) ).
fof(f1871,plain,
( v1_funct_1(sF31)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(superposition,[],[f469,f595]) ).
fof(f1872,plain,
( v1_funct_1(sF31)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f1871,f333]) ).
fof(f1873,plain,
( v1_funct_1(sF31)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f1872,f332]) ).
fof(f1874,plain,
( v1_funct_1(sF31)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f1873,f331]) ).
fof(f1875,plain,
( v1_funct_1(sF31)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f1874,f336]) ).
fof(f1876,plain,
( v1_funct_1(sF31)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f1875,f335]) ).
fof(f1877,plain,
v1_funct_1(sF31),
inference(forward_subsumption_resolution,[],[f1876,f1127]) ).
fof(f1929,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(superposition,[],[f587,f600]) ).
fof(f1939,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f1929,f333]) ).
fof(f1950,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f1939,f332]) ).
fof(f1952,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f1950,f331]) ).
fof(f1954,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK4)
| ~ m1_subset_1(X0,sF34)
| k3_tex_4(sK4,X0) = X0 ),
inference(forward_demodulation,[],[f1952,f602]) ).
fof(f2023,plain,
( v5_pre_topc(sF31,sK4,sK5)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(superposition,[],[f467,f595]) ).
fof(f2024,plain,
( v5_pre_topc(sF31,sK4,sK5)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2023,f333]) ).
fof(f2025,plain,
( v5_pre_topc(sF31,sK4,sK5)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2024,f332]) ).
fof(f2026,plain,
( v5_pre_topc(sF31,sK4,sK5)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2025,f331]) ).
fof(f2027,plain,
( v5_pre_topc(sF31,sK4,sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2026,f336]) ).
fof(f2028,plain,
( v5_pre_topc(sF31,sK4,sK5)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2027,f335]) ).
fof(f2029,plain,
v5_pre_topc(sF31,sK4,sK5),
inference(forward_subsumption_resolution,[],[f2028,f1127]) ).
fof(f2031,plain,
( v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(resolution,[],[f572,f1127]) ).
fof(f2033,plain,
( ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f2031,f333]) ).
fof(f2034,plain,
( ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f2033,f332]) ).
fof(f2035,plain,
( v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f2034,f331]) ).
fof(f2036,plain,
( ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f2035,f336]) ).
fof(f2037,plain,
k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5),
inference(forward_subsumption_resolution,[],[f2036,f335]) ).
fof(f2038,plain,
sF31 = k1_tsp_2(sK4,sK5),
inference(forward_demodulation,[],[f2037,f595]) ).
fof(f2042,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(superposition,[],[f460,f2038]) ).
fof(f2047,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2042,f333]) ).
fof(f2049,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2047,f332]) ).
fof(f2051,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2049,f331]) ).
fof(f2052,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2051,f336]) ).
fof(f2053,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2052,f335]) ).
fof(f2054,plain,
m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(forward_subsumption_resolution,[],[f2053,f1127]) ).
fof(f2055,plain,
m2_relset_1(sF31,sF33,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f2054,f600]) ).
fof(f2056,plain,
m1_relset_1(sF31,sF33,u1_struct_0(sK5)),
inference(resolution,[],[f2055,f574]) ).
fof(f2057,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(superposition,[],[f462,f2038]) ).
fof(f2062,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2057,f333]) ).
fof(f2064,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2062,f332]) ).
fof(f2066,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2064,f331]) ).
fof(f2067,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2066,f336]) ).
fof(f2068,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f2067,f335]) ).
fof(f2069,plain,
v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(forward_subsumption_resolution,[],[f2068,f1127]) ).
fof(f2070,plain,
v1_funct_2(sF31,sF33,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f2069,f600]) ).
fof(f2148,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_struct_0(sK4)
| ~ l1_struct_0(sK5)
| ~ v1_funct_1(sF31)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(superposition,[],[f465,f597]) ).
fof(f2151,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_struct_0(sK5)
| ~ v1_funct_1(sF31)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_subsumption_resolution,[],[f2148,f627]) ).
fof(f2163,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v1_funct_1(sF31)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_subsumption_resolution,[],[f2151,f902]) ).
fof(f2164,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_subsumption_resolution,[],[f2163,f1877]) ).
fof(f2165,plain,
( ~ v1_funct_2(sF31,sF33,u1_struct_0(sK5))
| m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_demodulation,[],[f2164,f600]) ).
fof(f2166,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_subsumption_resolution,[],[f2165,f2070]) ).
fof(f2167,plain,
( ~ m1_relset_1(sF31,sF33,u1_struct_0(sK5))
| m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(forward_demodulation,[],[f2166,f600]) ).
fof(f2168,plain,
m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5))),
inference(forward_subsumption_resolution,[],[f2167,f2056]) ).
fof(f2333,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(sF31)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v5_pre_topc(sF31,sK4,sK5)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m2_tsp_1(sK5,sK4)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(superposition,[],[f592,f595]) ).
fof(f2339,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v5_pre_topc(sF31,sK4,sK5)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m2_tsp_1(sK5,sK4)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2333,f1877]) ).
fof(f2342,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m2_tsp_1(sK5,sK4)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2339,f2029]) ).
fof(f2345,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| ~ v2_tsp_2(sK5,sK4)
| ~ m2_tsp_1(sK5,sK4)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2342,f336]) ).
fof(f2348,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| ~ m2_tsp_1(sK5,sK4)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2345,f335]) ).
fof(f2351,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| v3_struct_0(sK4)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2348,f334]) ).
fof(f2353,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2351,f333]) ).
fof(f2354,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0)
| ~ l1_pre_topc(sK4) ),
inference(forward_subsumption_resolution,[],[f2353,f332]) ).
fof(f2355,plain,
! [X0] :
( ~ m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_subsumption_resolution,[],[f2354,f331]) ).
fof(f2356,plain,
! [X0] :
( ~ m2_relset_1(sF31,sF33,u1_struct_0(sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2355,f600]) ).
fof(f2357,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_subsumption_resolution,[],[f2356,f2055]) ).
fof(f2358,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2357,f600]) ).
fof(f2359,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2358,f602]) ).
fof(f2360,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(sF33))
| ~ m1_subset_1(X0,sF34)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2359,f600]) ).
fof(f2361,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(sK5),sF34)
| ~ m1_subset_1(X0,sF34)
| ~ v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2360,f602]) ).
fof(f2362,plain,
! [X0] :
( ~ v1_funct_2(sF31,sF33,u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),sF34)
| ~ m1_subset_1(X0,sF34)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_demodulation,[],[f2361,f600]) ).
fof(f2363,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(sK5),sF34)
| ~ m1_subset_1(X0,sF34)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,sF31,X0) ),
inference(forward_subsumption_resolution,[],[f2362,f2070]) ).
fof(f2364,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(sK5),sF34)
| k4_pre_topc(sK4,sK5,sF31,X0) = k5_subset_1(sF33,u1_struct_0(sK5),k3_tex_4(sK4,X0))
| ~ m1_subset_1(X0,sF34) ),
inference(forward_demodulation,[],[f2363,f600]) ).
fof(f2405,plain,
( ~ m1_subset_1(sK6,sF34)
| sK6 = k3_tex_4(sK4,sK6) ),
inference(resolution,[],[f1954,f338]) ).
fof(f2424,plain,
sK6 = k3_tex_4(sK4,sK6),
inference(forward_subsumption_resolution,[],[f2405,f603]) ).
fof(f2493,plain,
! [X0] :
( k4_pre_topc(sK4,sK5,sF31,X0) = k5_subset_1(sF33,u1_struct_0(sK5),k3_tex_4(sK4,X0))
| ~ m1_subset_1(X0,sF34)
| ~ m1_pre_topc(sK5,sK4) ),
inference(resolution,[],[f2364,f1366]) ).
fof(f2494,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k4_pre_topc(sK4,sK5,sF31,X0) = k5_subset_1(sF33,u1_struct_0(sK5),k3_tex_4(sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f2493,f1127]) ).
fof(f3335,plain,
( sP1(sK4,sK5)
| ~ l1_pre_topc(sK4) ),
inference(resolution,[],[f1168,f334]) ).
fof(f3340,plain,
sP1(sK4,sK5),
inference(forward_subsumption_resolution,[],[f3335,f331]) ).
fof(f5278,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,sK4)
| k3_xboole_0(u1_struct_0(X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),X0)
| ~ m1_subset_1(X0,sF34) ),
inference(resolution,[],[f1730,f1366]) ).
fof(f16169,plain,
k4_pre_topc(sK4,sK5,sF31,sK6) = k5_subset_1(sF33,u1_struct_0(sK5),k3_tex_4(sK4,sK6)),
inference(resolution,[],[f2494,f603]) ).
fof(f16198,plain,
k4_pre_topc(sK4,sK5,sF31,sK6) = k5_subset_1(sF33,u1_struct_0(sK5),sK6),
inference(forward_demodulation,[],[f16169,f2424]) ).
fof(f16212,plain,
sF32 = k5_subset_1(sF33,u1_struct_0(sK5),sK6),
inference(forward_demodulation,[],[f16198,f597]) ).
fof(f16322,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k3_xboole_0(u1_struct_0(sK5),X0) = k5_subset_1(sF33,u1_struct_0(sK5),X0) ),
inference(resolution,[],[f5278,f1127]) ).
fof(f95342,plain,
k5_subset_1(sF33,u1_struct_0(sK5),sK6) = k3_xboole_0(u1_struct_0(sK5),sK6),
inference(resolution,[],[f16322,f603]) ).
fof(f95369,plain,
k5_subset_1(sF33,u1_struct_0(sK5),sK6) = k3_xboole_0(sK6,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f95342,f440]) ).
fof(f95372,plain,
sF32 = k3_xboole_0(sK6,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f95369,f16212]) ).
fof(f95389,plain,
! [X0] :
( ~ m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| v4_pre_topc(sF32,sK5)
| ~ sP1(X0,sK5) ),
inference(superposition,[],[f593,f95372]) ).
fof(f95420,plain,
! [X0] :
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| v4_pre_topc(sF32,sK5)
| ~ sP1(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f95389,f2168]) ).
fof(f95422,plain,
! [X0] :
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| ~ sP1(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f95420,f598]) ).
fof(f100395,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(sK6,sK4)
| ~ sP1(sK4,sK5) ),
inference(superposition,[],[f95422,f600]) ).
fof(f100396,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF33))
| ~ sP1(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f100395,f338]) ).
fof(f100397,plain,
~ m1_subset_1(sK6,k1_zfmisc_1(sF33)),
inference(forward_subsumption_resolution,[],[f100396,f3340]) ).
fof(f100398,plain,
~ m1_subset_1(sK6,sF34),
inference(forward_demodulation,[],[f100397,f602]) ).
fof(f100399,plain,
$false,
inference(forward_subsumption_resolution,[],[f100398,f603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 19:04:55 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.56/2.30 % (3674047)Will run a generic schedule for satisfiability detection.
% 14.56/2.30 % (3674056)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2329530152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.56/2.30 % (3674053)% WARNING: option uhcvi not known.
% 14.56/2.30 % (3674052)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=395018800_2999 on theBenchmark for (2999ds/0Mi)
% 14.56/2.30 % (3674053)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3853125883:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.56/2.30 % (3674057)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2910560386:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.56/2.30 % (3674054)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3267670523:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.56/2.30 % (3674055)dis+10_1_sil=32000:sp=arity:random_seed=2463078526:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.56/2.30 % (3674058)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=889365500:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.56/2.30 % TRYING [1]
% 14.56/2.30 % TRYING [2]
% 14.56/2.30 % TRYING [3]
% 14.56/2.30 % (3674056)Instruction limit reached!
% 14.56/2.30 % (3674056)------------------------------
% 14.56/2.30 % (3674056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.30 % (3674056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.30 % (3674056)CaDiCaL version: 2.1.3
% 14.56/2.30 % (3674056)Termination reason: Instruction limit
% 14.56/2.30 % (3674056)Termination phase: Saturation
% 14.56/2.30 % (3674056)Time elapsed: 0.041 s
% 14.56/2.30 % (3674056)Peak memory usage: 13 MB
% 14.56/2.30 % (3674056)Instructions burned: 118 (million)
% 14.56/2.30 % TRYING [4]
% 14.56/2.30 % (3674066)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2316290760:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.56/2.30 % TRYING [1]
% 14.56/2.30 % TRYING [2]
% 14.56/2.30 % TRYING [3]
% 14.56/2.30 % TRYING [4]
% 14.56/2.30 % (3674055)Instruction limit reached!
% 14.56/2.30 % (3674055)------------------------------
% 14.56/2.30 % (3674055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.30 % (3674055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.30 % (3674055)CaDiCaL version: 2.1.3
% 14.56/2.30 % (3674055)Termination reason: Instruction limit
% 14.56/2.30 % (3674055)Termination phase: Saturation
% 14.56/2.30 % (3674055)Time elapsed: 0.065 s
% 14.56/2.30 % (3674055)Peak memory usage: 12 MB
% 14.56/2.30 % (3674055)Instructions burned: 104 (million)
% 14.56/2.30 % (3674057)Instruction limit reached!
% 14.56/2.30 % (3674057)------------------------------
% 14.56/2.30 % (3674057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.30 % (3674057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.30 % (3674057)CaDiCaL version: 2.1.3
% 14.56/2.30 % (3674057)Termination reason: Instruction limit
% 14.56/2.30 % (3674057)Termination phase: Saturation
% 14.56/2.30 % (3674057)Time elapsed: 0.081 s
% 14.56/2.30 % (3674057)Peak memory usage: 13 MB
% 14.56/2.30 % (3674057)Instructions burned: 132 (million)
% 14.56/2.30 % (3674068)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2690158668:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.56/2.30 % TRYING [5]
% 14.56/2.30 % (3674069)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3385083724:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.56/2.30 % (3674058)Instruction limit reached!
% 14.56/2.30 % (3674058)------------------------------
% 14.56/2.30 % (3674058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.56/2.30 % (3674058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.56/2.30 % (3674058)CaDiCaL version: 2.1.3
% 14.56/2.30 % (3674058)Termination reason: Instruction limit
% 14.56/2.30 % (3674058)Termination phase: Saturation
% 14.56/2.30 % (3674058)Time elapsed: 0.104 s
% 14.56/2.30 % (3674058)Peak memory usage: 14 MB
% 14.56/2.30 % (3674058)Instructions burned: 159 (million)
% 14.56/2.30 % TRYING [5]
% 14.56/2.30 % (3674072)ott-21_1_sil=16000:fs=off:random_seed=1737533477:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.56/2.30 % (3674068)Instruction limit reached!
% 14.56/2.30 % (3674068)------------------------------
% 14.56/2.30 % (3674068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674068)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674068)Termination reason: Instruction limit
% 38.00/5.63 % (3674068)Termination phase: Saturation
% 38.00/5.63 % (3674068)Time elapsed: 0.084 s
% 38.00/5.63 % (3674068)Peak memory usage: 14 MB
% 38.00/5.63 % (3674068)Instructions burned: 132 (million)
% 38.00/5.63 % TRYING [6]
% 38.00/5.63 % (3674066)Instruction limit reached!
% 38.00/5.63 % (3674066)------------------------------
% 38.00/5.63 % (3674066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674066)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674066)Termination reason: Instruction limit
% 38.00/5.63 % (3674066)Termination phase: Finite model building constraint generation
% 38.00/5.63 % (3674066)Time elapsed: 0.142 s
% 38.00/5.63 % (3674066)Peak memory usage: 34 MB
% 38.00/5.63 % (3674066)Instructions burned: 717 (million)
% 38.00/5.63 % (3674074)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1028642165:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 38.00/5.63 % (3674075)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3230497552:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.00/5.63 % TRYING [1]
% 38.00/5.63 % TRYING [2]
% 38.00/5.63 % TRYING [3]
% 38.00/5.63 % (3674072)Instruction limit reached!
% 38.00/5.63 % (3674072)------------------------------
% 38.00/5.63 % (3674072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674072)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674072)Termination reason: Instruction limit
% 38.00/5.63 % (3674072)Termination phase: Saturation
% 38.00/5.63 % (3674072)Time elapsed: 0.103 s
% 38.00/5.63 % (3674072)Peak memory usage: 13 MB
% 38.00/5.63 % (3674072)Instructions burned: 180 (million)
% 38.00/5.63 % (3674078)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1022247003:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 38.00/5.63 % TRYING [4]
% 38.00/5.63 % TRYING [6]
% 38.00/5.63 % TRYING [5]
% 38.00/5.63 % (3674075)Instruction limit reached!
% 38.00/5.63 % (3674075)------------------------------
% 38.00/5.63 % (3674075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674075)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674075)Termination reason: Instruction limit
% 38.00/5.63 % (3674075)Termination phase: Finite model building constraint generation
% 38.00/5.63 % (3674075)Time elapsed: 0.175 s
% 38.00/5.63 % (3674075)Peak memory usage: 22 MB
% 38.00/5.63 % (3674075)Instructions burned: 872 (million)
% 38.00/5.63 % (3674080)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3490553468:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.00/5.63 % (3674074)Instruction limit reached!
% 38.00/5.63 % (3674074)------------------------------
% 38.00/5.63 % (3674074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674074)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674074)Termination reason: Instruction limit
% 38.00/5.63 % (3674074)Termination phase: Saturation
% 38.00/5.63 % (3674074)Time elapsed: 0.323 s
% 38.00/5.63 % (3674074)Peak memory usage: 16 MB
% 38.00/5.63 % (3674074)Instructions burned: 477 (million)
% 38.00/5.63 % (3674069)Instruction limit reached!
% 38.00/5.63 % (3674069)------------------------------
% 38.00/5.63 % (3674069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.00/5.63 % (3674069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.00/5.63 % (3674069)CaDiCaL version: 2.1.3
% 38.00/5.63 % (3674069)Termination reason: Instruction limit
% 38.00/5.63 % (3674069)Termination phase: Saturation
% 38.00/5.63 % (3674069)Time elapsed: 0.421 s
% 38.00/5.63 % (3674069)Peak memory usage: 20 MB
% 38.00/5.63 % (3674069)Instructions burned: 685 (million)
% 38.00/5.63 % (3674082)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2680519207:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 38.00/5.63 % (3674083)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2940477762:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 38.00/5.63 % (3674080)Instruction limit reached!
% 29.06/6.63 % (3674080)------------------------------
% 29.06/6.63 % (3674080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674080)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674080)Termination reason: Instruction limit
% 29.06/6.63 % (3674080)Termination phase: Finite model building constraint generation
% 29.06/6.63 % (3674080)Time elapsed: 0.236 s
% 29.06/6.63 % (3674080)Peak memory usage: 104 MB
% 29.06/6.63 % (3674080)Instructions burned: 891 (million)
% 29.06/6.63 % (3674086)fmb+10_1_sil=64000:random_seed=1922801567:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 29.06/6.63 % TRYING [1]
% 29.06/6.63 % TRYING [2]
% 29.06/6.63 % TRYING [3]
% 29.06/6.63 % TRYING [4]
% 29.06/6.63 % TRYING [5]
% 29.06/6.63 % TRYING [7]
% 29.06/6.63 % (3674078)Instruction limit reached!
% 29.06/6.63 % (3674078)------------------------------
% 29.06/6.63 % (3674078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674078)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674078)Termination reason: Instruction limit
% 29.06/6.63 % (3674078)Termination phase: Saturation
% 29.06/6.63 % (3674078)Time elapsed: 0.702 s
% 29.06/6.63 % (3674078)Peak memory usage: 25 MB
% 29.06/6.63 % (3674078)Instructions burned: 1180 (million)
% 29.06/6.63 % (3674082)Instruction limit reached!
% 29.06/6.63 % (3674082)------------------------------
% 29.06/6.63 % (3674082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674082)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674082)Termination reason: Instruction limit
% 29.06/6.63 % (3674082)Termination phase: Saturation
% 29.06/6.63 % (3674082)Time elapsed: 0.422 s
% 29.06/6.63 % (3674082)Peak memory usage: 21 MB
% 29.06/6.63 % (3674082)Instructions burned: 693 (million)
% 29.06/6.63 % (3674088)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=544465557:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 29.06/6.63 % (3674089)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2390238054:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 29.06/6.63 % TRYING [20]
% 29.06/6.63 % TRYING [8]
% 29.06/6.63 % TRYING [6]
% 29.06/6.63 % (3674083)Instruction limit reached!
% 29.06/6.63 % (3674083)------------------------------
% 29.06/6.63 % (3674083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674083)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674083)Termination reason: Instruction limit
% 29.06/6.63 % (3674083)Termination phase: Saturation
% 29.06/6.63 % (3674083)Time elapsed: 0.519 s
% 29.06/6.63 % (3674083)Peak memory usage: 19 MB
% 29.06/6.63 % (3674083)Instructions burned: 879 (million)
% 29.06/6.63 % (3674092)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1444881082:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 29.06/6.63 % (3674089)Instruction limit reached!
% 29.06/6.63 % (3674089)------------------------------
% 29.06/6.63 % (3674089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674089)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674089)Termination reason: Instruction limit
% 29.06/6.63 % (3674089)Termination phase: Finite model building constraint generation
% 29.06/6.63 % (3674089)Time elapsed: 0.303 s
% 29.06/6.63 % (3674089)Peak memory usage: 57 MB
% 29.06/6.63 % (3674089)Instructions burned: 923 (million)
% 29.06/6.63 % (3674094)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2343591439:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 29.06/6.63 % TRYING [7]
% 29.06/6.63 % (3674094)Instruction limit reached!
% 29.06/6.63 % (3674094)------------------------------
% 29.06/6.63 % (3674094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674094)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674094)Termination reason: Instruction limit
% 29.06/6.63 % (3674094)Termination phase: Saturation
% 29.06/6.63 % (3674094)Time elapsed: 0.692 s
% 29.06/6.63 % (3674094)Peak memory usage: 18 MB
% 29.06/6.63 % (3674094)Instructions burned: 1473 (million)
% 29.06/6.63 % (3674096)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=113200703:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 29.06/6.63 % (3674096)Cannot represent all propositional literals internally
% 29.06/6.63 % (3674096)Refutation not found, incomplete strategy
% 29.06/6.63 % (3674096)------------------------------
% 29.06/6.63 % (3674096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674096)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674096)Termination reason: Refutation not found, incomplete strategy
% 29.06/6.63 % (3674096)Time elapsed: 0.016 s
% 29.06/6.63 % (3674096)Peak memory usage: 11 MB
% 29.06/6.63 % (3674096)Instructions burned: 30 (million)
% 29.06/6.63 % (3674096)------------------------------
% 29.06/6.63 % (3674096)------------------------------
% 29.06/6.63 % (3674098)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3894137043:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 29.06/6.63 % TRYING [16]
% 29.06/6.63 % TRYING [8]
% 29.06/6.63 % (3674098)Instruction limit reached!
% 29.06/6.63 % (3674098)------------------------------
% 29.06/6.63 % (3674098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674098)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674098)Termination reason: Instruction limit
% 29.06/6.63 % (3674098)Termination phase: Finite model building constraint generation
% 29.06/6.63 % (3674098)Time elapsed: 0.763 s
% 29.06/6.63 % (3674098)Peak memory usage: 129 MB
% 29.06/6.63 % (3674098)Instructions burned: 2175 (million)
% 29.06/6.63 % (3674100)ott-2_1_sil=16000:newcnf=on:random_seed=3295041703:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 29.06/6.63 % TRYING [8]
% 29.06/6.63 % (3674100)Instruction limit reached!
% 29.06/6.63 % (3674100)------------------------------
% 29.06/6.63 % (3674100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674100)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674100)Termination reason: Instruction limit
% 29.06/6.63 % (3674100)Termination phase: Saturation
% 29.06/6.63 % (3674100)Time elapsed: 0.497 s
% 29.06/6.63 % (3674100)Peak memory usage: 21 MB
% 29.06/6.63 % (3674100)Instructions burned: 871 (million)
% 29.06/6.63 % (3674102)ott+10_1_sil=32000:tgt=ground:random_seed=623010620:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 29.06/6.63 % (3674092)Instruction limit reached!
% 29.06/6.63 % (3674092)------------------------------
% 29.06/6.63 % (3674092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674092)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674092)Termination reason: Instruction limit
% 29.06/6.63 % (3674092)Termination phase: Saturation
% 29.06/6.63 % (3674092)Time elapsed: 2.982 s
% 29.06/6.63 % (3674092)Peak memory usage: 38 MB
% 29.06/6.63 % (3674092)Instructions burned: 5132 (million)
% 29.06/6.63 % (3674088)Instruction limit reached!
% 29.06/6.63 % (3674088)------------------------------
% 29.06/6.63 % (3674088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674088)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674088)Termination reason: Instruction limit
% 29.06/6.63 % (3674088)Termination phase: Finite model building constraint generation
% 29.06/6.63 % (3674088)Time elapsed: 3.110 s
% 29.06/6.63 % (3674088)Peak memory usage: 526 MB
% 29.06/6.63 % (3674088)Instructions burned: 9516 (million)
% 29.06/6.63 % (3674115)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2677119293:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 29.06/6.63 % TRYING [1]
% 29.06/6.63 % TRYING [2]
% 29.06/6.63 % TRYING [3]
% 29.06/6.63 % TRYING [4]
% 29.06/6.63 % (3674145)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4043816392:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 29.06/6.63 % TRYING [5]
% 29.06/6.63 % TRYING [6]
% 29.06/6.63 % TRYING [7]
% 29.06/6.63 % (3674086)Instruction limit reached!
% 29.06/6.63 % (3674086)------------------------------
% 29.06/6.63 % (3674086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674086)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674086)Termination reason: Instruction limit
% 29.06/6.63 % (3674086)Termination phase: Finite model building SAT solving
% 29.06/6.63 % (3674086)Time elapsed: 4.710 s
% 29.06/6.63 % (3674086)Peak memory usage: 206 MB
% 29.06/6.63 % (3674086)Instructions burned: 22062 (million)
% 29.06/6.63 % (3674260)dis+21_1_sil=32000:sas=cadical:random_seed=724737267:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 29.06/6.63 % (3674145)Instruction limit reached!
% 29.06/6.63 % (3674145)------------------------------
% 29.06/6.63 % (3674145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.63 % (3674145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.63 % (3674145)CaDiCaL version: 2.1.3
% 29.06/6.63 % (3674145)Termination reason: Instruction limit
% 29.06/6.63 % (3674145)Termination phase: Saturation
% 29.06/6.63 % (3674145)Time elapsed: 2.019 s
% 29.06/6.63 % (3674145)Peak memory usage: 34 MB
% 29.06/6.63 % (3674145)Instructions burned: 3513 (million)
% 29.06/6.63 % (3674262)ott+11_1_sil=16000:gs=on:random_seed=2956742023:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2937 on theBenchmark for (2937ds/2251Mi)
% 29.06/6.63 % (3674102) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3674047-3674102"...
% 29.06/6.63 % (3674102)...printing done.
% 29.06/6.63 % (3674102)Refutation found. Thanks to Tanya!
% 29.06/6.63 % SZS status Theorem for theBenchmark
% 29.06/6.63 % SZS output start Proof for theBenchmark
% See solution above
% 29.06/6.64 % (3674102)------------------------------
% 29.06/6.64 % (3674102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.06/6.64 % (3674102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.06/6.64 % (3674102)CaDiCaL version: 2.1.3
% 29.06/6.64 % (3674102)Termination reason: Refutation
% 29.06/6.64 % (3674102)Time elapsed: 2.912 s
% 29.06/6.64 % (3674102)Peak memory usage: 48 MB
% 29.06/6.64 % (3674102)Instructions burned: 4924 (million)
% 29.06/6.64 % (3674047)Success in time 6.392 s
% 29.06/6.64 % Vampire exiting
%------------------------------------------------------------------------------