%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP042+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 : n003.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 02:34:03 PM UTC 2026
% Result : Theorem 4.73s 1.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 29
% Syntax : Number of formulae : 221 ( 52 unt; 14 def)
% Number of atoms : 1038 ( 115 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1373 ( 556 ~; 625 |; 140 &)
% ( 21 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 9 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 277 ( 0 sgn 255 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f64,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/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)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/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(f463,plain,
! [X0,X1] :
( v1_funct_1(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(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(f466,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(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(f468,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(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(f632,definition,
( spl35_2
<=> v1_funct_1(sF31) ),
introduced(definition,[new_symbols(definition,[spl35_2])],[avatar_definition]) ).
fof(f634,plain,
( ~ v1_funct_1(sF31)
| spl35_2 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f636,definition,
( spl35_3
<=> m2_relset_1(sF31,sF33,u1_struct_0(sK5)) ),
introduced(definition,[new_symbols(definition,[spl35_3])],[avatar_definition]) ).
fof(f637,plain,
( m2_relset_1(sF31,sF33,u1_struct_0(sK5))
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl35_4
<=> m1_subset_1(u1_struct_0(sK5),sF34) ),
introduced(definition,[new_symbols(definition,[spl35_4])],[avatar_definition]) ).
fof(f641,plain,
( m1_subset_1(u1_struct_0(sK5),sF34)
| ~ spl35_4 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( ~ m1_subset_1(u1_struct_0(sK5),sF34)
| spl35_4 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl35_5
<=> v1_funct_2(sF31,sF33,u1_struct_0(sK5)) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f651,plain,
( l1_pre_topc(sK5)
| ~ l1_pre_topc(sK4) ),
inference(resolution,[],[f474,f334]) ).
fof(f652,plain,
l1_pre_topc(sK5),
inference(forward_subsumption_resolution,[],[f651,f331]) ).
fof(f653,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(f656,plain,
( ~ v1_funct_2(sF31,sF33,u1_struct_0(sK5))
| m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_struct_0(sK4)
| ~ l1_struct_0(sK5)
| ~ v1_funct_1(sF31)
| ~ m1_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(forward_demodulation,[],[f653,f600]) ).
fof(f658,definition,
( spl35_7
<=> l1_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl35_7])],[avatar_definition]) ).
fof(f660,plain,
( ~ l1_struct_0(sK4)
| spl35_7 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f665,plain,
( ~ m1_relset_1(sF31,sF33,u1_struct_0(sK5))
| ~ v1_funct_2(sF31,sF33,u1_struct_0(sK5))
| m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_struct_0(sK4)
| ~ l1_struct_0(sK5)
| ~ v1_funct_1(sF31) ),
inference(forward_demodulation,[],[f656,f600]) ).
fof(f667,definition,
( spl35_9
<=> l1_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl35_9])],[avatar_definition]) ).
fof(f671,definition,
( spl35_10
<=> m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5))) ),
introduced(definition,[new_symbols(definition,[spl35_10])],[avatar_definition]) ).
fof(f673,plain,
( m1_subset_1(sF32,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl35_11
<=> m1_relset_1(sF31,sF33,u1_struct_0(sK5)) ),
introduced(definition,[new_symbols(definition,[spl35_11])],[avatar_definition]) ).
fof(f678,plain,
( ~ spl35_2
| ~ spl35_9
| ~ spl35_7
| spl35_10
| ~ spl35_5
| ~ spl35_11 ),
inference(avatar_split_clause,[],[f665,f675,f644,f671,f658,f667,f632]) ).
fof(f680,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(f681,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,[],[f680,f333]) ).
fof(f683,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,[],[f681,f332]) ).
fof(f684,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,[],[f683,f331]) ).
fof(f685,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK4)
| ~ m1_subset_1(X0,sF34)
| k3_tex_4(sK4,X0) = X0 ),
inference(forward_demodulation,[],[f684,f602]) ).
fof(f686,plain,
( ~ m1_subset_1(sK6,sF34)
| sK6 = k3_tex_4(sK4,sK6) ),
inference(resolution,[],[f685,f338]) ).
fof(f687,plain,
sK6 = k3_tex_4(sK4,sK6),
inference(forward_subsumption_resolution,[],[f686,f603]) ).
fof(f688,plain,
( m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4) ),
inference(resolution,[],[f576,f334]) ).
fof(f689,plain,
m1_pre_topc(sK5,sK4),
inference(forward_subsumption_resolution,[],[f688,f331]) ).
fof(f690,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,[],[f468,f595]) ).
fof(f695,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,[],[f690,f333]) ).
fof(f697,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,[],[f695,f332]) ).
fof(f699,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,[],[f697,f331]) ).
fof(f700,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,[],[f699,f336]) ).
fof(f701,plain,
( v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f700,f335]) ).
fof(f702,plain,
v1_funct_2(sF31,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(forward_subsumption_resolution,[],[f701,f689]) ).
fof(f703,plain,
v1_funct_2(sF31,sF33,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f702,f600]) ).
fof(f704,plain,
spl35_5,
inference(avatar_split_clause,[],[f703,f644]) ).
fof(f705,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,[],[f466,f592]) ).
fof(f706,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,[],[f466,f595]) ).
fof(f709,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,[],[f705]) ).
fof(f712,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,[],[f706,f333]) ).
fof(f713,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,[],[f709,f469]) ).
fof(f715,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,[],[f712,f332]) ).
fof(f716,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,[],[f713,f468]) ).
fof(f718,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,[],[f715,f331]) ).
fof(f719,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,[],[f716,f467]) ).
fof(f720,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,[],[f718,f336]) ).
fof(f721,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,[],[f719,f576]) ).
fof(f722,plain,
( m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_pre_topc(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f720,f335]) ).
fof(f723,plain,
m2_relset_1(sF31,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(forward_subsumption_resolution,[],[f722,f689]) ).
fof(f724,plain,
m2_relset_1(sF31,sF33,u1_struct_0(sK5)),
inference(forward_demodulation,[],[f723,f600]) ).
fof(f725,plain,
spl35_3,
inference(avatar_split_clause,[],[f724,f636]) ).
fof(f757,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,[],[f689,f572]) ).
fof(f760,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,[],[f757,f333]) ).
fof(f762,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,[],[f760,f332]) ).
fof(f764,plain,
( v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f762,f331]) ).
fof(f766,plain,
( ~ v2_tsp_2(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f764,f336]) ).
fof(f767,plain,
k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5),
inference(forward_subsumption_resolution,[],[f766,f335]) ).
fof(f768,plain,
sF31 = k1_tsp_2(sK4,sK5),
inference(forward_demodulation,[],[f767,f595]) ).
fof(f783,plain,
l1_struct_0(sK4),
inference(resolution,[],[f471,f331]) ).
fof(f784,plain,
l1_struct_0(sK5),
inference(resolution,[],[f471,f652]) ).
fof(f785,plain,
spl35_9,
inference(avatar_split_clause,[],[f784,f667]) ).
fof(f786,plain,
( $false
| spl35_7 ),
inference(forward_subsumption_resolution,[],[f783,f660]) ).
fof(f787,plain,
spl35_7,
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f805,plain,
( m1_relset_1(sF31,sF33,u1_struct_0(sK5))
| ~ spl35_3 ),
inference(resolution,[],[f574,f637]) ).
fof(f807,plain,
( spl35_11
| ~ spl35_3 ),
inference(avatar_split_clause,[],[f805,f636,f675]) ).
fof(f809,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(f813,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,[],[f463,f768]) ).
fof(f814,plain,
( 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)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f813,f634]) ).
fof(f815,plain,
( ~ v2_pre_topc(sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f814,f333]) ).
fof(f816,plain,
( ~ l1_pre_topc(sK4)
| v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f815,f332]) ).
fof(f817,plain,
( v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f816,f331]) ).
fof(f818,plain,
( ~ v2_tsp_2(sK5,sK4)
| ~ m1_pre_topc(sK5,sK4)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f817,f336]) ).
fof(f819,plain,
( ~ m1_pre_topc(sK5,sK4)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f818,f335]) ).
fof(f820,plain,
( $false
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f819,f689]) ).
fof(f821,plain,
spl35_2,
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f860,plain,
! [X2,X0,X1] :
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| k4_pre_topc(X1,X0,k4_tsp_2(X1,X0),X2) = k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k3_tex_4(X1,X2))
| ~ m2_tsp_1(X0,X1) ),
inference(resolution,[],[f580,f721]) ).
fof(f864,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(f866,plain,
! [X2,X0,X1] :
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| k4_pre_topc(X1,X0,k4_tsp_2(X1,X0),X2) = k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k3_tex_4(X1,X2))
| ~ m2_tsp_1(X0,X1) ),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f867,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF33))
| ~ m1_pre_topc(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f864,f331]) ).
fof(f868,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| k4_pre_topc(X1,X0,k4_tsp_2(X1,X0),X2) = k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k3_tex_4(X1,X2))
| ~ m2_tsp_1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f866,f576]) ).
fof(f869,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF34)
| ~ m1_pre_topc(X0,sK4) ),
inference(forward_demodulation,[],[f867,f602]) ).
fof(f874,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| ~ v2_pre_topc(sK4)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK4)
| k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),k3_tex_4(sK4,X0))
| ~ m2_tsp_1(X1,sK4) ),
inference(superposition,[],[f868,f600]) ).
fof(f876,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4)
| ~ l1_pre_topc(sK4)
| v3_struct_0(sK4)
| k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),k3_tex_4(sK4,X0))
| ~ m2_tsp_1(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f874,f332]) ).
fof(f878,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4)
| v3_struct_0(sK4)
| k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),k3_tex_4(sK4,X0))
| ~ m2_tsp_1(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f876,f331]) ).
fof(f879,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF33))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4)
| k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),k3_tex_4(sK4,X0))
| ~ m2_tsp_1(X1,sK4) ),
inference(forward_subsumption_resolution,[],[f878,f333]) ).
fof(f880,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4)
| k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X0) = k5_subset_1(sF33,u1_struct_0(X1),k3_tex_4(sK4,X0))
| ~ m2_tsp_1(X1,sK4) ),
inference(forward_demodulation,[],[f879,f602]) ).
fof(f881,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4)
| k4_pre_topc(sK4,X0,k4_tsp_2(sK4,X0),sK6) = k5_subset_1(sF33,u1_struct_0(X0),k3_tex_4(sK4,sK6))
| ~ m2_tsp_1(X0,sK4) ),
inference(resolution,[],[f880,f603]) ).
fof(f882,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK4)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4)
| k4_pre_topc(sK4,X0,k4_tsp_2(sK4,X0),sK6) = k5_subset_1(sF33,u1_struct_0(X0),sK6) ),
inference(forward_demodulation,[],[f881,f687]) ).
fof(f883,plain,
( v3_struct_0(sK5)
| ~ v2_tsp_2(sK5,sK4)
| k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(sF33,u1_struct_0(sK5),sK6) ),
inference(resolution,[],[f882,f334]) ).
fof(f884,plain,
( ~ v2_tsp_2(sK5,sK4)
| k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(sF33,u1_struct_0(sK5),sK6) ),
inference(forward_subsumption_resolution,[],[f883,f336]) ).
fof(f885,plain,
k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(sF33,u1_struct_0(sK5),sK6),
inference(forward_subsumption_resolution,[],[f884,f335]) ).
fof(f886,plain,
k4_pre_topc(sK4,sK5,sF31,sK6) = k5_subset_1(sF33,u1_struct_0(sK5),sK6),
inference(forward_demodulation,[],[f885,f595]) ).
fof(f887,plain,
sF32 = k5_subset_1(sF33,u1_struct_0(sK5),sK6),
inference(forward_demodulation,[],[f886,f597]) ).
fof(f935,plain,
( ~ m1_pre_topc(sK5,sK4)
| spl35_4 ),
inference(resolution,[],[f869,f642]) ).
fof(f945,plain,
( $false
| spl35_4 ),
inference(forward_subsumption_resolution,[],[f935,f689]) ).
fof(f946,plain,
spl35_4,
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f966,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| k3_xboole_0(u1_struct_0(sK5),X0) = k5_subset_1(sF33,u1_struct_0(sK5),X0) )
| ~ spl35_4 ),
inference(resolution,[],[f641,f809]) ).
fof(f970,plain,
( k5_subset_1(sF33,u1_struct_0(sK5),sK6) = k3_xboole_0(u1_struct_0(sK5),sK6)
| ~ spl35_4 ),
inference(resolution,[],[f966,f603]) ).
fof(f971,plain,
( sF32 = k3_xboole_0(u1_struct_0(sK5),sK6)
| ~ spl35_4 ),
inference(forward_demodulation,[],[f970,f887]) ).
fof(f976,plain,
( sF32 = k3_xboole_0(sK6,u1_struct_0(sK5))
| ~ spl35_4 ),
inference(superposition,[],[f440,f971]) ).
fof(f1016,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) )
| ~ spl35_4 ),
inference(superposition,[],[f593,f976]) ).
fof(f1017,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) )
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f1016,f673]) ).
fof(f1018,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(sK6,X0)
| ~ sP1(X0,sK5) )
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f1017,f598]) ).
fof(f1019,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF33))
| ~ v4_pre_topc(sK6,sK4)
| ~ sP1(sK4,sK5)
| ~ spl35_4
| ~ spl35_10 ),
inference(superposition,[],[f1018,f600]) ).
fof(f1020,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF33))
| ~ sP1(sK4,sK5)
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f1019,f338]) ).
fof(f1021,plain,
( ~ m1_subset_1(sK6,sF34)
| ~ sP1(sK4,sK5)
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_demodulation,[],[f1020,f602]) ).
fof(f1022,plain,
( ~ sP1(sK4,sK5)
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f1021,f603]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| sP1(X1,X0) ),
inference(resolution,[],[f459,f447]) ).
fof(f1261,plain,
! [X0,X1] :
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| sP1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f1260,f474]) ).
fof(f1262,plain,
( ~ l1_pre_topc(sK4)
| sP1(sK4,sK5) ),
inference(resolution,[],[f1261,f334]) ).
fof(f1263,plain,
sP1(sK4,sK5),
inference(forward_subsumption_resolution,[],[f1262,f331]) ).
fof(f1264,plain,
( $false
| ~ spl35_4
| ~ spl35_10 ),
inference(forward_subsumption_resolution,[],[f1263,f1022]) ).
fof(f1265,plain,
( ~ spl35_4
| ~ spl35_10 ),
inference(avatar_contradiction_clause,[],[f1264]) ).
cnf(s3,plain,
( ~ spl35_2
| ~ spl35_5
| ~ spl35_7
| ~ spl35_9
| spl35_10
| ~ spl35_11 ),
inference(sat_conversion,[],[f678]) ).
cnf(s4,plain,
spl35_5,
inference(sat_conversion,[],[f704]) ).
cnf(s5,plain,
spl35_3,
inference(sat_conversion,[],[f725]) ).
cnf(s7,plain,
spl35_9,
inference(sat_conversion,[],[f785]) ).
cnf(s8,plain,
spl35_7,
inference(sat_conversion,[],[f787]) ).
cnf(s9,plain,
( ~ spl35_3
| spl35_11 ),
inference(sat_conversion,[],[f807]) ).
cnf(s10,plain,
spl35_2,
inference(sat_conversion,[],[f821]) ).
cnf(s14,plain,
spl35_4,
inference(sat_conversion,[],[f946]) ).
cnf(s16,plain,
( ~ spl35_4
| ~ spl35_10 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s17,plain,
~ spl35_10,
inference(rat,[],[s16,s14]) ).
cnf(s18,plain,
spl35_11,
inference(rat,[],[s9,s5]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s3,s18,s17,s7,s8,s4,s10]) ).
fof(f1266,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:04:12 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 4.73/1.61 % (1883730)Detected formulas, will run a generic FOF schedule.
% 4.73/1.61 % (1883740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2226138097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.73/1.61 % (1883735)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=301820435:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.73/1.61 % (1883739)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4126510605:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.73/1.61 % (1883741)dis-21_1_sil=8000:lcm=predicate:random_seed=2503711092:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.73/1.61 % (1883738)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3406730373:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.73/1.61 % (1883737)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=2655751877:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.73/1.61 % (1883736)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=3919421806:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.73/1.61 % (1883738)Refutation not found, incomplete strategy
% 4.73/1.61 % (1883738)------------------------------
% 4.73/1.61 % (1883738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883738)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883738)Termination reason: Refutation not found, incomplete strategy
% 4.73/1.61 % (1883738)Time elapsed: 0.002 s
% 4.73/1.61 % (1883738)Peak memory usage: 88 MB
% 4.73/1.61 % (1883738)Instructions burned: 1 (million)
% 4.73/1.61 % (1883739)Refutation not found, incomplete strategy
% 4.73/1.61 % (1883739)------------------------------
% 4.73/1.61 % (1883739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883739)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883739)Termination reason: Refutation not found, incomplete strategy
% 4.73/1.61 % (1883739)Time elapsed: 0.002 s
% 4.73/1.61 % (1883739)Peak memory usage: 88 MB
% 4.73/1.61 % (1883739)Instructions burned: 2 (million)
% 4.73/1.61 % (1883740)Instruction limit reached!
% 4.73/1.61 % (1883740)------------------------------
% 4.73/1.61 % (1883740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883740)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883740)Termination reason: Instruction limit
% 4.73/1.61 % (1883740)Termination phase: Saturation
% 4.73/1.61 % (1883740)Time elapsed: 0.053 s
% 4.73/1.61 % (1883740)Peak memory usage: 90 MB
% 4.73/1.61 % (1883740)Instructions burned: 142 (million)
% 4.73/1.61 % (1883741)Instruction limit reached!
% 4.73/1.61 % (1883741)------------------------------
% 4.73/1.61 % (1883741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883741)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883741)Termination reason: Instruction limit
% 4.73/1.61 % (1883741)Termination phase: Saturation
% 4.73/1.61 % (1883741)Time elapsed: 0.074 s
% 4.73/1.61 % (1883741)Peak memory usage: 90 MB
% 4.73/1.61 % (1883741)Instructions burned: 131 (million)
% 4.73/1.61 % (1883749)lrs+10_1_sil=8000:sp=occurrence:random_seed=596971080:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.73/1.61 % (1883739)------------------------------
% 4.73/1.61 % (1883739)------------------------------
% 4.73/1.61 % (1883738)------------------------------
% 4.73/1.61 % (1883738)------------------------------
% 4.73/1.61 % (1883750)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2918994477:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.73/1.61 % (1883749)Instruction limit reached!
% 4.73/1.61 % (1883749)------------------------------
% 4.73/1.61 % (1883749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883749)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883749)Termination reason: Instruction limit
% 4.73/1.61 % (1883749)Termination phase: Saturation
% 4.73/1.61 % (1883749)Time elapsed: 0.096 s
% 4.73/1.61 % (1883749)Peak memory usage: 92 MB
% 4.73/1.61 % (1883749)Instructions burned: 287 (million)
% 4.73/1.61 % (1883750)Instruction limit reached!
% 4.73/1.61 % (1883750)------------------------------
% 4.73/1.61 % (1883750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883750)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883750)Termination reason: Instruction limit
% 4.73/1.61 % (1883750)Termination phase: Saturation
% 4.73/1.61 % (1883750)Time elapsed: 0.082 s
% 4.73/1.61 % (1883750)Peak memory usage: 90 MB
% 4.73/1.61 % (1883750)Instructions burned: 157 (million)
% 4.73/1.61 % (1883755)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3017832406:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.73/1.61 % (1883753)lrs+1011_1_sil=32000:sp=occurrence:random_seed=829882935:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.73/1.61 % (1883754)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=620330149:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.73/1.61 % (1883753)Refutation not found, incomplete strategy
% 4.73/1.61 % (1883753)------------------------------
% 4.73/1.61 % (1883753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883753)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883753)Termination reason: Refutation not found, incomplete strategy
% 4.73/1.61 % (1883753)Time elapsed: 0.013 s
% 4.73/1.61 % (1883753)Peak memory usage: 89 MB
% 4.73/1.61 % (1883753)Instructions burned: 17 (million)
% 4.73/1.61 % (1883755)Instruction limit reached!
% 4.73/1.61 % (1883755)------------------------------
% 4.73/1.61 % (1883755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883755)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883755)Termination reason: Instruction limit
% 4.73/1.61 % (1883755)Termination phase: Saturation
% 4.73/1.61 % (1883755)Time elapsed: 0.084 s
% 4.73/1.61 % (1883755)Peak memory usage: 90 MB
% 4.73/1.61 % (1883755)Instructions burned: 295 (million)
% 4.73/1.61 % (1883756)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3629674680:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.73/1.61 % (1883754)Instruction limit reached!
% 4.73/1.61 % (1883754)------------------------------
% 4.73/1.61 % (1883754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883754)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883754)Termination reason: Instruction limit
% 4.73/1.61 % (1883754)Termination phase: Saturation
% 4.73/1.61 % (1883754)Time elapsed: 0.135 s
% 4.73/1.61 % (1883754)Peak memory usage: 92 MB
% 4.73/1.61 % (1883754)Instructions burned: 249 (million)
% 4.73/1.61 % (1883760)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2642065801:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.73/1.61 % (1883760)Instruction limit reached!
% 4.73/1.61 % (1883760)------------------------------
% 4.73/1.61 % (1883760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883760)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883760)Termination reason: Instruction limit
% 4.73/1.61 % (1883760)Termination phase: Saturation
% 4.73/1.61 % (1883760)Time elapsed: 0.039 s
% 4.73/1.61 % (1883760)Peak memory usage: 91 MB
% 4.73/1.61 % (1883760)Instructions burned: 114 (million)
% 4.73/1.61 % (1883753)------------------------------
% 4.73/1.61 % (1883753)------------------------------
% 4.73/1.61 % (1883762)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1975907216:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 4.73/1.61 % (1883764)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3959677543:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 4.73/1.61 % (1883735)First to succeed.
% 4.73/1.61 % (1883764)Instruction limit reached!
% 4.73/1.61 % (1883764)------------------------------
% 4.73/1.61 % (1883764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883764)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883764)Termination reason: Instruction limit
% 4.73/1.61 % (1883764)Termination phase: Saturation
% 4.73/1.61 % (1883735)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1883730"
% 4.73/1.61 % (1883764)Time elapsed: 0.032 s
% 4.73/1.61 % (1883764)Peak memory usage: 89 MB
% 4.73/1.61 % (1883764)Instructions burned: 115 (million)
% 4.73/1.61 % (1883762)Instruction limit reached!
% 4.73/1.61 % (1883762)------------------------------
% 4.73/1.61 % (1883762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.61 % (1883762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.61 % (1883762)CaDiCaL version: 2.1.3
% 4.73/1.61 % (1883762)Termination reason: Instruction limit
% 4.73/1.61 % (1883762)Termination phase: Saturation
% 4.73/1.61 % (1883762)Time elapsed: 0.067 s
% 4.73/1.61 % (1883762)Peak memory usage: 89 MB
% 4.73/1.61 % (1883762)Instructions burned: 128 (million)
% 4.73/1.61 % (1883765)lrs+10_1_sil=8000:sp=occurrence:random_seed=1807816553:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 4.73/1.61 % (1883768)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3871423911:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 4.73/1.61 % (1883737)Also succeeded, but the first one will report.
% 4.73/1.61 % (1883769)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4187600317:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 4.73/1.61 % (1883768)Also succeeded, but the first one will report.
% 4.73/1.61 % (1883735)Refutation found. Thanks to Tanya!
% 4.73/1.61 % SZS status Theorem for theBenchmark
% 4.73/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.81 % (1883735)------------------------------
% 0.20/1.81 % (1883735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.81 % (1883735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.81 % (1883735)CaDiCaL version: 2.1.3
% 0.20/1.81 % (1883735)Termination reason: Refutation
% 0.20/1.81 % (1883735)Time elapsed: 0.773 s
% 0.20/1.81 % (1883735)Peak memory usage: 131 MB
% 0.20/1.81 % (1883735)Instructions burned: 1154 (million)
% 0.20/1.81 % (1883735)------------------------------
% 0.20/1.81 % (1883735)------------------------------
% 0.20/1.81 % (1883730)Success in time 1.201 s
% 0.20/1.81 % Vampire exiting
%------------------------------------------------------------------------------