%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP041+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 : n016.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 8.12s 2.62s
% Output : Refutation 13.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 217 ( 40 unt; 9 def)
% Number of atoms : 1022 ( 101 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1364 ( 559 ~; 609 |; 140 &)
% ( 21 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 10 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-4 aty)
% Number of variables : 264 ( 0 sgn 243 !; 21 ?)
% 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)))
=> ( v3_pre_topc(X2,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_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)))
=> ( v3_pre_topc(X2,X0)
=> v3_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)
=> ( m1_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)))
=> ( v3_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_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(f69,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_tsp_1) ).
fof(f71,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(f109,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)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f110,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(f111,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(f112,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_tsp_1) ).
fof(f113,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(f114,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(f117,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(f122,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)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f129,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_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(f130,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_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,[],[f129]) ).
fof(f210,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(f211,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,[],[f210]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ( m1_tsp_1(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X2] :
( ( v3_pre_topc(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v3_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(f213,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(f214,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,[],[f213]) ).
fof(f217,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(f218,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,[],[f217]) ).
fof(f219,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(f220,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,[],[f219]) ).
fof(f223,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m1_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f263,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(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)) ),
inference(ennf_transformation,[],[f109]) ).
fof(f264,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(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)) ),
inference(flattening,[],[f263]) ).
fof(f265,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,[],[f110]) ).
fof(f266,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,[],[f265]) ).
fof(f267,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,[],[f111]) ).
fof(f268,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,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( m1_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f272,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,[],[f117]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_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,[],[f122]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_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,[],[f277]) ).
fof(f283,plain,
( ~ v3_pre_topc(k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2),sK1)
& v3_pre_topc(sK2,sK0)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK1)
& v2_tsp_2(sK1,sK0)
& m2_tsp_1(sK1,sK0)
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f130]) ).
fof(f284,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,[],[f211]) ).
fof(f285,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,[],[f284]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK3(X0,X1,X2),k3_tex_4(X0,sK4(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK4(X0,X1,X2))
& m1_subset_1(sK4(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK3(X0,X1,X2)
& m1_subset_1(sK3(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,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[f285]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( ( m1_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v3_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v3_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] :
( ( ( v3_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_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)))
& v3_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v3_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f212]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ( ( m1_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v3_pre_topc(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| v3_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] :
( ( ( v3_pre_topc(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_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)))
& v3_pre_topc(X3,X0)
& X2 = k3_xboole_0(X3,u1_struct_0(X1)) )
| ~ v3_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f287]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ( ( m1_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != X2 )
| ~ v3_pre_topc(X2,X1) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(X4,X0)
& k3_xboole_0(X4,u1_struct_0(X1)) = X2 )
| v3_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] :
( ( ( v3_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_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)))
& v3_pre_topc(X7,X0)
& k3_xboole_0(X7,u1_struct_0(X1)) = X5 )
| ~ v3_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f288]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ( ( m1_tsp_1(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ( ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X3,X0)
| k3_xboole_0(X3,u1_struct_0(X1)) != sK5(X0,X1) )
| ~ v3_pre_topc(sK5(X0,X1),X1) )
& ( ( m1_subset_1(sK6(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(sK6(X0,X1),X0)
& sK5(X0,X1) = k3_xboole_0(sK6(X0,X1),u1_struct_0(X1)) )
| v3_pre_topc(sK5(X0,X1),X1) )
& m1_subset_1(sK5(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& ! [X5] :
( ( ( v3_pre_topc(X5,X1)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5 ) )
& ( ( m1_subset_1(sK7(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0)))
& v3_pre_topc(sK7(X0,X1,X5),X0)
& k3_xboole_0(sK7(X0,X1,X5),u1_struct_0(X1)) = X5 )
| ~ v3_pre_topc(X5,X1) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X1,X5))],[f289]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ( m1_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f269]) ).
fof(f312,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,[],[f113]) ).
fof(f313,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,[],[f270]) ).
fof(f315,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f316,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f317,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f318,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f319,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f320,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f283]) ).
fof(f321,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f283]) ).
fof(f322,plain,
v3_pre_topc(sK2,sK0),
inference(cnf_transformation,[],[f283]) ).
fof(f323,plain,
~ v3_pre_topc(k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2),sK1),
inference(cnf_transformation,[],[f283]) ).
fof(f456,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f458,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,[],[f286]) ).
fof(f466,plain,
! [X0,X1,X6,X5] :
( v3_pre_topc(X5,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X6,X0)
| k3_xboole_0(X6,u1_struct_0(X1)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_tsp_1(X1,X0)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f474,plain,
! [X0,X1] :
( v5_pre_topc(k1_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,[],[f214]) ).
fof(f475,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,[],[f214]) ).
fof(f476,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,[],[f214]) ).
fof(f478,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),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_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f218]) ).
fof(f479,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)
| m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f484,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f486,plain,
! [X0,X1] :
( ~ m1_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f488,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f585,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),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))
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f264]) ).
fof(f586,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,[],[f266]) ).
fof(f587,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,[],[f268]) ).
fof(f589,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| m1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f592,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f596,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f602,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| k3_tex_4(X0,X1) = X1 ),
inference(cnf_transformation,[],[f278]) ).
fof(f607,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,[],[f458]) ).
fof(f608,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,[],[f607]) ).
fof(f609,plain,
! [X0,X1,X6] :
( v3_pre_topc(k3_xboole_0(X6,u1_struct_0(X1)),X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X6,X0)
| ~ m1_subset_1(k3_xboole_0(X6,u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_tsp_1(X1,X0)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f466]) ).
fof(f613,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)))
| ~ v3_pre_topc(X6,X0)
| v3_pre_topc(k3_xboole_0(X6,u1_struct_0(X1)),X1)
| ~ m1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f609,f486]) ).
fof(f616,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k3_tex_4(sK0,X0) = X0 ),
inference(resolution,[],[f315,f602]) ).
fof(f617,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v2_pre_topc(sK0)
| k3_tex_4(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f616,f317]) ).
fof(f618,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_tex_4(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f617,f316]) ).
fof(f619,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = k3_tex_4(sK0,sK2) ),
inference(resolution,[],[f618,f322]) ).
fof(f620,plain,
sK2 = k3_tex_4(sK0,sK2),
inference(forward_subsumption_resolution,[],[f619,f321]) ).
fof(f621,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| l1_pre_topc(X0) ),
inference(resolution,[],[f488,f315]) ).
fof(f622,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| m1_pre_topc(X0,sK0) ),
inference(resolution,[],[f592,f315]) ).
fof(f626,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k5_subset_1(u1_struct_0(sK0),X0,sK2) = k3_xboole_0(X0,sK2) ),
inference(resolution,[],[f587,f321]) ).
fof(f634,plain,
l1_pre_topc(sK1),
inference(resolution,[],[f621,f318]) ).
fof(f665,plain,
m1_pre_topc(sK1,sK0),
inference(resolution,[],[f622,f318]) ).
fof(f667,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(resolution,[],[f665,f479]) ).
fof(f668,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(resolution,[],[f665,f586]) ).
fof(f669,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f668,f317]) ).
fof(f670,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f667,f317]) ).
fof(f672,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f669,f316]) ).
fof(f673,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f670,f316]) ).
fof(f675,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f672,f315]) ).
fof(f676,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f673,f315]) ).
fof(f678,plain,
( ~ v2_tsp_2(sK1,sK0)
| k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f675,f320]) ).
fof(f679,plain,
( ~ v2_tsp_2(sK1,sK0)
| m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f676,f320]) ).
fof(f681,plain,
k4_tsp_2(sK0,sK1) = k1_tsp_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f678,f319]) ).
fof(f682,plain,
m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f679,f319]) ).
fof(f683,plain,
m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(forward_demodulation,[],[f682,f681]) ).
fof(f684,plain,
~ v3_pre_topc(k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),sK2),sK1),
inference(superposition,[],[f323,f681]) ).
fof(f688,plain,
! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(superposition,[],[f608,f681]) ).
fof(f689,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f688,f683]) ).
fof(f690,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f689,f320]) ).
fof(f691,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f690,f319]) ).
fof(f692,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f691,f318]) ).
fof(f693,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f692,f317]) ).
fof(f694,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f693,f316]) ).
fof(f695,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f694,f315]) ).
fof(f697,definition,
( spl28_4
<=> v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f698,plain,
( ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| spl28_4 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f700,definition,
( spl28_5
<=> v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f701,plain,
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl28_5 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f703,definition,
( spl28_6
<=> v1_funct_1(k1_tsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f704,plain,
( ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| spl28_6 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f706,definition,
( spl28_7
<=> m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f707,plain,
( ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl28_7 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f709,definition,
( spl28_8
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f710,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) )
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f711,plain,
( ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| spl28_8 ),
inference(avatar_split_clause,[],[f695,f709,f706,f703,f700,f697]) ).
fof(f713,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(resolution,[],[f698,f474]) ).
fof(f715,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f713,f317]) ).
fof(f716,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f715,f316]) ).
fof(f717,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f716,f315]) ).
fof(f718,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f717,f320]) ).
fof(f719,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f718,f319]) ).
fof(f720,plain,
( $false
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f719,f665]) ).
fof(f721,plain,
spl28_4,
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f723,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(resolution,[],[f701,f475]) ).
fof(f725,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f723,f317]) ).
fof(f726,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f725,f316]) ).
fof(f727,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f726,f315]) ).
fof(f728,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f727,f320]) ).
fof(f729,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f728,f319]) ).
fof(f730,plain,
( $false
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f729,f665]) ).
fof(f731,plain,
spl28_5,
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f733,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(resolution,[],[f704,f476]) ).
fof(f735,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f733,f317]) ).
fof(f736,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f735,f316]) ).
fof(f737,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f736,f315]) ).
fof(f738,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f737,f320]) ).
fof(f739,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f738,f319]) ).
fof(f740,plain,
( $false
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f739,f665]) ).
fof(f741,plain,
spl28_6,
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f743,plain,
m1_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f683,f590]) ).
fof(f744,plain,
! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) = k9_relat_1(k1_tsp_2(sK0,sK1),X0) ),
inference(resolution,[],[f743,f585]) ).
fof(f745,plain,
! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| m1_subset_1(k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f743,f478]) ).
fof(f747,definition,
( spl28_9
<=> ! [X0] : m1_subset_1(k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f748,plain,
( ! [X0] : m1_subset_1(k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,definition,
( spl28_10
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f751,plain,
( ~ l1_struct_0(sK1)
| spl28_10 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f753,definition,
( spl28_11
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl28_11])],[avatar_definition]) ).
fof(f754,plain,
( ~ l1_struct_0(sK0)
| spl28_11 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f755,plain,
( spl28_9
| ~ spl28_5
| ~ spl28_6
| ~ spl28_10
| ~ spl28_11 ),
inference(avatar_split_clause,[],[f745,f753,f750,f703,f700,f747]) ).
fof(f757,definition,
( spl28_12
<=> ! [X0] : k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) = k9_relat_1(k1_tsp_2(sK0,sK1),X0) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f758,plain,
( ! [X0] : k4_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),X0) = k9_relat_1(k1_tsp_2(sK0,sK1),X0)
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
( spl28_12
| ~ spl28_5
| ~ spl28_6
| ~ spl28_10
| ~ spl28_11 ),
inference(avatar_split_clause,[],[f744,f753,f750,f703,f700,f757]) ).
fof(f761,plain,
( ~ l1_pre_topc(sK1)
| spl28_10 ),
inference(resolution,[],[f751,f484]) ).
fof(f763,plain,
( $false
| spl28_10 ),
inference(forward_subsumption_resolution,[],[f761,f634]) ).
fof(f764,plain,
spl28_10,
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f766,plain,
( ~ l1_pre_topc(sK0)
| spl28_11 ),
inference(resolution,[],[f754,f484]) ).
fof(f768,plain,
( $false
| spl28_11 ),
inference(forward_subsumption_resolution,[],[f766,f315]) ).
fof(f769,plain,
spl28_11,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f770,plain,
( ~ v3_pre_topc(k9_relat_1(k1_tsp_2(sK0,sK1),sK2),sK1)
| ~ spl28_12 ),
inference(superposition,[],[f684,f758]) ).
fof(f773,plain,
( ! [X0] : m1_subset_1(k9_relat_1(k1_tsp_2(sK0,sK1),X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl28_9
| ~ spl28_12 ),
inference(superposition,[],[f748,f758]) ).
fof(f777,plain,
! [X2,X0,X1] :
( ~ m1_tsp_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_pre_topc(X1,X2)
| v3_pre_topc(k3_xboole_0(u1_struct_0(X0),X1),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X2) ),
inference(superposition,[],[f613,f456]) ).
fof(f794,plain,
( m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f596,f665]) ).
fof(f796,plain,
( ~ l1_pre_topc(sK0)
| spl28_7 ),
inference(forward_subsumption_resolution,[],[f794,f707]) ).
fof(f797,plain,
( $false
| spl28_7 ),
inference(forward_subsumption_resolution,[],[f796,f315]) ).
fof(f798,plain,
spl28_7,
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f799,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,X0)) = k9_relat_1(k1_tsp_2(sK0,sK1),X0) )
| ~ spl28_8
| ~ spl28_12 ),
inference(forward_demodulation,[],[f710,f758]) ).
fof(f800,plain,
m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f794,f315]) ).
fof(f802,plain,
k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),sK2) = k3_xboole_0(u1_struct_0(sK1),sK2),
inference(resolution,[],[f800,f626]) ).
fof(f805,plain,
k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),sK2) = k3_xboole_0(sK2,u1_struct_0(sK1)),
inference(forward_demodulation,[],[f802,f456]) ).
fof(f806,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),sK2) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k3_tex_4(sK0,sK2))
| ~ spl28_8
| ~ spl28_12 ),
inference(resolution,[],[f799,f321]) ).
fof(f808,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),sK2) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),sK2)
| ~ spl28_8
| ~ spl28_12 ),
inference(forward_demodulation,[],[f806,f620]) ).
fof(f809,plain,
( k9_relat_1(k1_tsp_2(sK0,sK1),sK2) = k3_xboole_0(sK2,u1_struct_0(sK1))
| ~ spl28_8
| ~ spl28_12 ),
inference(forward_demodulation,[],[f808,f805]) ).
fof(f810,plain,
( ~ v3_pre_topc(k3_xboole_0(sK2,u1_struct_0(sK1)),sK1)
| ~ spl28_8
| ~ spl28_12 ),
inference(superposition,[],[f770,f809]) ).
fof(f843,plain,
( m1_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f589,f665]) ).
fof(f844,plain,
m1_tsp_1(sK1,sK0),
inference(forward_subsumption_resolution,[],[f843,f315]) ).
fof(f848,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v3_pre_topc(X0,sK0)
| v3_pre_topc(k3_xboole_0(u1_struct_0(sK1),X0),sK1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f844,f777]) ).
fof(f853,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_pre_topc(k3_xboole_0(u1_struct_0(sK1),X0),sK1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f848,f315]) ).
fof(f855,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_pre_topc(k3_xboole_0(u1_struct_0(sK1),sK2),sK1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f853,f322]) ).
fof(f856,plain,
( v3_pre_topc(k3_xboole_0(u1_struct_0(sK1),sK2),sK1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f855,f321]) ).
fof(f857,plain,
( v3_pre_topc(k3_xboole_0(sK2,u1_struct_0(sK1)),sK1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_demodulation,[],[f856,f456]) ).
fof(f858,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl28_8
| ~ spl28_12 ),
inference(forward_subsumption_resolution,[],[f857,f810]) ).
fof(f859,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl28_8
| ~ spl28_12 ),
inference(forward_demodulation,[],[f858,f456]) ).
fof(f864,plain,
( m1_subset_1(k3_xboole_0(sK2,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl28_8
| ~ spl28_9
| ~ spl28_12 ),
inference(superposition,[],[f773,f809]) ).
fof(f865,plain,
( $false
| ~ spl28_8
| ~ spl28_9
| ~ spl28_12 ),
inference(forward_subsumption_resolution,[],[f864,f859]) ).
fof(f866,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_12 ),
inference(avatar_contradiction_clause,[],[f865]) ).
cnf(s3,plain,
( ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| spl28_8 ),
inference(sat_conversion,[],[f711]) ).
cnf(s5,plain,
spl28_4,
inference(sat_conversion,[],[f721]) ).
cnf(s7,plain,
spl28_5,
inference(sat_conversion,[],[f731]) ).
cnf(s9,plain,
spl28_6,
inference(sat_conversion,[],[f741]) ).
cnf(s10,plain,
( ~ spl28_5
| ~ spl28_6
| spl28_9
| ~ spl28_10
| ~ spl28_11 ),
inference(sat_conversion,[],[f755]) ).
cnf(s11,plain,
( ~ spl28_5
| ~ spl28_6
| ~ spl28_10
| ~ spl28_11
| spl28_12 ),
inference(sat_conversion,[],[f759]) ).
cnf(s13,plain,
spl28_10,
inference(sat_conversion,[],[f764]) ).
cnf(s15,plain,
spl28_11,
inference(sat_conversion,[],[f769]) ).
cnf(s18,plain,
spl28_7,
inference(sat_conversion,[],[f798]) ).
cnf(s20,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_12 ),
inference(sat_conversion,[],[f866]) ).
cnf(s22,plain,
( ~ spl28_5
| ~ spl28_6
| spl28_12 ),
inference(rat,[],[s11,s15,s13]) ).
cnf(s23,plain,
( ~ spl28_5
| ~ spl28_6
| spl28_9 ),
inference(rat,[],[s10,s15,s13]) ).
cnf(s24,plain,
spl28_12,
inference(rat,[],[s22,s9,s7]) ).
cnf(s25,plain,
spl28_9,
inference(rat,[],[s23,s9,s7]) ).
cnf(s26,plain,
~ spl28_8,
inference(rat,[],[s20,s24,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s3,s26,s18,s9,s7,s5]) ).
fof(f867,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP041+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 % Computer : n016.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8046.5625MB
% 0.10/0.28 % OS : Linux 6.8.0-71-generic
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon Sep 28 19:06:48 UTC 2026
% 0.10/0.28 % CPUTime :
% 0.10/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.33 Running first-order theorem proving
% 0.27/0.33 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
% 8.12/2.62 % (3900691)Detected formulas, will run a generic FOF schedule.
% 8.12/2.62 % (3900701)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=329882511:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.12/2.62 % (3900701)Refutation not found, incomplete strategy
% 8.12/2.62 % (3900701)------------------------------
% 8.12/2.62 % (3900701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900701)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900701)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.62 % (3900701)Time elapsed: 0.002 s
% 8.12/2.62 % (3900701)Peak memory usage: 88 MB
% 8.12/2.62 % (3900701)Instructions burned: 1 (million)
% 8.12/2.62 % (3900700)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=4087395926:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.12/2.62 % (3900699)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=4032082683:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.12/2.62 % (3900698)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=1388669707:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.12/2.62 % (3900702)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1047672579:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.12/2.62 % (3900703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2020108316:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.12/2.62 % (3900702)Refutation not found, incomplete strategy
% 8.12/2.62 % (3900702)------------------------------
% 8.12/2.62 % (3900702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900702)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900702)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.62 % (3900702)Time elapsed: 0.004 s
% 8.12/2.62 % (3900702)Peak memory usage: 88 MB
% 8.12/2.62 % (3900702)Instructions burned: 2 (million)
% 8.12/2.62 % (3900704)dis-21_1_sil=8000:lcm=predicate:random_seed=1920486099: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)
% 8.12/2.62 % (3900701)------------------------------
% 8.12/2.62 % (3900701)------------------------------
% 8.12/2.62 % (3900704)Instruction limit reached!
% 8.12/2.62 % (3900704)------------------------------
% 8.12/2.62 % (3900704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900704)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900704)Termination reason: Instruction limit
% 8.12/2.62 % (3900704)Termination phase: Saturation
% 8.12/2.62 % (3900704)Time elapsed: 0.124 s
% 8.12/2.62 % (3900704)Peak memory usage: 90 MB
% 8.12/2.62 % (3900704)Instructions burned: 129 (million)
% 8.12/2.62 % (3900703)Instruction limit reached!
% 8.12/2.62 % (3900703)------------------------------
% 8.12/2.62 % (3900703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900703)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900703)Termination reason: Instruction limit
% 8.12/2.62 % (3900703)Termination phase: Saturation
% 8.12/2.62 % (3900703)Time elapsed: 0.163 s
% 8.12/2.62 % (3900703)Peak memory usage: 90 MB
% 8.12/2.62 % (3900703)Instructions burned: 139 (million)
% 8.12/2.62 % (3900712)lrs+10_1_sil=8000:sp=occurrence:random_seed=1966642749:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 8.12/2.62 % (3900713)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1931671905:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 8.12/2.62 % (3900702)------------------------------
% 8.12/2.62 % (3900702)------------------------------
% 8.12/2.62 % (3900713)Instruction limit reached!
% 8.12/2.62 % (3900713)------------------------------
% 8.12/2.62 % (3900713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900713)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900713)Termination reason: Instruction limit
% 8.12/2.62 % (3900713)Termination phase: Saturation
% 8.12/2.62 % (3900713)Time elapsed: 0.124 s
% 8.12/2.62 % (3900713)Peak memory usage: 89 MB
% 8.12/2.62 % (3900713)Instructions burned: 158 (million)
% 8.12/2.62 % (3900712)Instruction limit reached!
% 8.12/2.62 % (3900712)------------------------------
% 8.12/2.62 % (3900712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900712)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900712)Termination reason: Instruction limit
% 8.12/2.62 % (3900712)Termination phase: Saturation
% 8.12/2.62 % (3900712)Time elapsed: 0.150 s
% 8.12/2.62 % (3900712)Peak memory usage: 93 MB
% 8.12/2.62 % (3900712)Instructions burned: 286 (million)
% 8.12/2.62 % (3900714)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3693878103:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.12/2.62 % (3900714)Refutation not found, incomplete strategy
% 8.12/2.62 % (3900714)------------------------------
% 8.12/2.62 % (3900714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900714)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900714)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.62 % (3900714)Time elapsed: 0.019 s
% 8.12/2.62 % (3900714)Peak memory usage: 89 MB
% 8.12/2.62 % (3900714)Instructions burned: 16 (million)
% 8.12/2.62 % (3900718)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2611814439:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 8.12/2.62 % (3900717)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=280165005:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 8.12/2.62 % (3900720)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2495521400:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.12/2.62 % (3900714)------------------------------
% 8.12/2.62 % (3900714)------------------------------
% 8.12/2.62 % (3900717)Instruction limit reached!
% 8.12/2.62 % (3900717)------------------------------
% 8.12/2.62 % (3900717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900717)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900717)Termination reason: Instruction limit
% 8.12/2.62 % (3900717)Termination phase: Saturation
% 8.12/2.62 % (3900717)Time elapsed: 0.224 s
% 8.12/2.62 % (3900717)Peak memory usage: 92 MB
% 8.12/2.62 % (3900717)Instructions burned: 248 (million)
% 8.12/2.62 % (3900718)Instruction limit reached!
% 8.12/2.62 % (3900718)------------------------------
% 8.12/2.62 % (3900718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900718)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900718)Termination reason: Instruction limit
% 8.12/2.62 % (3900718)Termination phase: Saturation
% 8.12/2.62 % (3900718)Time elapsed: 0.264 s
% 8.12/2.62 % (3900718)Peak memory usage: 89 MB
% 8.12/2.62 % (3900718)Instructions burned: 294 (million)
% 8.12/2.62 % (3900699)First to succeed.
% 8.12/2.62 % (3900699)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3900691"
% 8.12/2.62 % (3900724)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2637628903:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 8.12/2.62 % (3900725)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=29820516:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 8.12/2.62 % (3900726)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1635727438:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 8.12/2.62 % (3900724)Instruction limit reached!
% 8.12/2.62 % (3900724)------------------------------
% 8.12/2.62 % (3900724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900724)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900724)Termination reason: Instruction limit
% 8.12/2.62 % (3900724)Termination phase: Saturation
% 8.12/2.62 % (3900724)Time elapsed: 0.113 s
% 8.12/2.62 % (3900724)Peak memory usage: 91 MB
% 8.12/2.62 % (3900724)Instructions burned: 113 (million)
% 8.12/2.62 % (3900725)Instruction limit reached!
% 8.12/2.62 % (3900725)------------------------------
% 8.12/2.62 % (3900725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900725)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900725)Termination reason: Instruction limit
% 8.12/2.62 % (3900725)Termination phase: Saturation
% 8.12/2.62 % (3900725)Time elapsed: 0.117 s
% 8.12/2.62 % (3900725)Peak memory usage: 89 MB
% 8.12/2.62 % (3900725)Instructions burned: 127 (million)
% 8.12/2.62 % (3900726)Instruction limit reached!
% 8.12/2.62 % (3900726)------------------------------
% 8.12/2.62 % (3900726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.62 % (3900726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.62 % (3900726)CaDiCaL version: 2.1.3
% 8.12/2.62 % (3900726)Termination reason: Instruction limit
% 8.12/2.62 % (3900726)Termination phase: Saturation
% 8.12/2.62 % (3900726)Time elapsed: 0.102 s
% 8.12/2.62 % (3900726)Peak memory usage: 89 MB
% 8.12/2.62 % (3900726)Instructions burned: 115 (million)
% 8.12/2.62 % (3900699)Refutation found. Thanks to Tanya!
% 8.12/2.62 % SZS status Theorem for theBenchmark
% 8.12/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 13.28/2.86 % (3900699)------------------------------
% 13.28/2.86 % (3900699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (3900699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (3900699)CaDiCaL version: 2.1.3
% 13.28/2.86 % (3900699)Termination reason: Refutation
% 13.28/2.86 % (3900699)Time elapsed: 1.114 s
% 13.28/2.86 % (3900699)Peak memory usage: 131 MB
% 13.28/2.86 % (3900699)Instructions burned: 1035 (million)
% 13.28/2.86 % (3900699)------------------------------
% 13.28/2.86 % (3900699)------------------------------
% 13.28/2.86 % (3900691)Success in time 1.767 s
% 13.28/2.86 % Vampire exiting
%------------------------------------------------------------------------------