%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP038+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 02:34:01 PM UTC 2026
% Result : Theorem 67.71s 22.24s
% Output : Refutation 148.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 46
% Syntax : Number of formulae : 238 ( 64 unt; 33 def)
% Number of atoms : 800 ( 77 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1006 ( 444 ~; 457 |; 58 &)
% ( 27 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 25 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-4 aty)
% Number of variables : 149 ( 0 sgn 141 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f568,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_subset_1) ).
fof(f570,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f862,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_relat_1) ).
fof(f1333,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1392,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f6850,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f6856,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f6857,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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f13459,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f13461,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f13469,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f13530,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_subset_1(u1_struct_0(X0),X2,X3)) = k4_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_tsp_2) ).
fof(f13531,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_subset_1(u1_struct_0(X0),X2,X3)) = k4_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13530]) ).
fof(f13600,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_subset_1(u1_struct_0(X0),X2,X3)) != k4_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13531]) ).
fof(f13601,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_subset_1(u1_struct_0(X0),X2,X3)) != k4_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f13600]) ).
fof(f13638,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f570]) ).
fof(f13639,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f13638]) ).
fof(f13642,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f568]) ).
fof(f13643,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f13642]) ).
fof(f13665,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13461]) ).
fof(f13667,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13459]) ).
fof(f13713,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,[],[f6857]) ).
fof(f13714,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,[],[f13713]) ).
fof(f13715,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,[],[f6856]) ).
fof(f13716,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,[],[f13715]) ).
fof(f13725,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,[],[f13469]) ).
fof(f13726,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,[],[f13725]) ).
fof(f13927,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6850]) ).
fof(f14788,plain,
! [X0,X1,X2] :
( k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f862]) ).
fof(f15155,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1392]) ).
fof(f15156,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f16403,plain,
( k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),k4_subset_1(u1_struct_0(sK80),sK82,sK83)) != k4_subset_1(u1_struct_0(sK81),k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),sK82),k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),sK83))
& m1_subset_1(sK83,k1_zfmisc_1(u1_struct_0(sK80)))
& m1_subset_1(sK82,k1_zfmisc_1(u1_struct_0(sK80)))
& ~ v3_struct_0(sK81)
& v2_tsp_2(sK81,sK80)
& m2_tsp_1(sK81,sK80)
& ~ v3_struct_0(sK80)
& v2_pre_topc(sK80)
& l1_pre_topc(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81,sK82,sK83]),skolemize(X0,sK80),skolemize(X1,sK81),skolemize(X2,sK82),skolemize(X3,sK83)],[f13601]) ).
fof(f16444,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,[],[f13665]) ).
fof(f16857,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,[],[f1394]) ).
fof(f17484,plain,
l1_pre_topc(sK80),
inference(cnf_transformation,[],[f16403]) ).
fof(f17485,plain,
v2_pre_topc(sK80),
inference(cnf_transformation,[],[f16403]) ).
fof(f17486,plain,
~ v3_struct_0(sK80),
inference(cnf_transformation,[],[f16403]) ).
fof(f17487,plain,
m2_tsp_1(sK81,sK80),
inference(cnf_transformation,[],[f16403]) ).
fof(f17488,plain,
v2_tsp_2(sK81,sK80),
inference(cnf_transformation,[],[f16403]) ).
fof(f17489,plain,
~ v3_struct_0(sK81),
inference(cnf_transformation,[],[f16403]) ).
fof(f17490,plain,
m1_subset_1(sK82,k1_zfmisc_1(u1_struct_0(sK80))),
inference(cnf_transformation,[],[f16403]) ).
fof(f17491,plain,
m1_subset_1(sK83,k1_zfmisc_1(u1_struct_0(sK80))),
inference(cnf_transformation,[],[f16403]) ).
fof(f17492,plain,
k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),k4_subset_1(u1_struct_0(sK80),sK82,sK83)) != k4_subset_1(u1_struct_0(sK81),k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),sK82),k4_pre_topc(sK80,sK81,k4_tsp_2(sK80,sK81),sK83)),
inference(cnf_transformation,[],[f16403]) ).
fof(f17540,plain,
! [X2,X0,X1] :
( k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f13639]) ).
fof(f17542,plain,
! [X2,X0,X1] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f13643]) ).
fof(f17580,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16444]) ).
fof(f17583,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13667]) ).
fof(f17683,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X2,X3) = k4_pre_topc(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)) ),
inference(cnf_transformation,[],[f13714]) ).
fof(f17684,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,[],[f13716]) ).
fof(f17693,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,[],[f13726]) ).
fof(f17695,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,[],[f13726]) ).
fof(f17696,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,[],[f13726]) ).
fof(f17962,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13927]) ).
fof(f19273,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f14788]) ).
fof(f19306,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f16857]) ).
fof(f19935,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f15155]) ).
fof(f19936,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f15156]) ).
fof(f22495,definition,
sF674 = k4_tsp_2(sK80,sK81),
introduced(definition,[new_symbols(definition,[sF674])],[function_definition]) ).
fof(f22496,plain,
k4_tsp_2(sK80,sK81) = sF674,
inference(reorient_equations,[],[f22495]) ).
fof(f22497,definition,
sF675 = u1_struct_0(sK80),
introduced(definition,[new_symbols(definition,[sF675])],[function_definition]) ).
fof(f22498,plain,
u1_struct_0(sK80) = sF675,
inference(reorient_equations,[],[f22497]) ).
fof(f22499,definition,
sF676 = k4_subset_1(sF675,sK82,sK83),
introduced(definition,[new_symbols(definition,[sF676])],[function_definition]) ).
fof(f22500,plain,
k4_subset_1(sF675,sK82,sK83) = sF676,
inference(reorient_equations,[],[f22499]) ).
fof(f22501,definition,
sF677 = k4_pre_topc(sK80,sK81,sF674,sF676),
introduced(definition,[new_symbols(definition,[sF677])],[function_definition]) ).
fof(f22502,plain,
k4_pre_topc(sK80,sK81,sF674,sF676) = sF677,
inference(reorient_equations,[],[f22501]) ).
fof(f22503,definition,
sF678 = u1_struct_0(sK81),
introduced(definition,[new_symbols(definition,[sF678])],[function_definition]) ).
fof(f22504,plain,
u1_struct_0(sK81) = sF678,
inference(reorient_equations,[],[f22503]) ).
fof(f22505,definition,
sF679 = k4_pre_topc(sK80,sK81,sF674,sK82),
introduced(definition,[new_symbols(definition,[sF679])],[function_definition]) ).
fof(f22506,plain,
k4_pre_topc(sK80,sK81,sF674,sK82) = sF679,
inference(reorient_equations,[],[f22505]) ).
fof(f22507,definition,
sF680 = k4_pre_topc(sK80,sK81,sF674,sK83),
introduced(definition,[new_symbols(definition,[sF680])],[function_definition]) ).
fof(f22508,plain,
k4_pre_topc(sK80,sK81,sF674,sK83) = sF680,
inference(reorient_equations,[],[f22507]) ).
fof(f22509,definition,
sF681 = k4_subset_1(sF678,sF679,sF680),
introduced(definition,[new_symbols(definition,[sF681])],[function_definition]) ).
fof(f22510,plain,
k4_subset_1(sF678,sF679,sF680) = sF681,
inference(reorient_equations,[],[f22509]) ).
fof(f22511,plain,
sF677 != sF681,
inference(definition_folding,[],[f17492,f22510,f22508,f22496,f22506,f22496,f22504,f22502,f22500,f22498,f22496]) ).
fof(f22512,definition,
sF682 = k1_zfmisc_1(sF675),
introduced(definition,[new_symbols(definition,[sF682])],[function_definition]) ).
fof(f22513,plain,
k1_zfmisc_1(sF675) = sF682,
inference(reorient_equations,[],[f22512]) ).
fof(f22514,plain,
m1_subset_1(sK83,sF682),
inference(definition_folding,[],[f17491,f22513,f22498]) ).
fof(f22515,plain,
m1_subset_1(sK82,sF682),
inference(definition_folding,[],[f17490,f22513,f22498]) ).
fof(f22550,definition,
( spl683_7
<=> v3_struct_0(sK80) ),
introduced(definition,[new_symbols(definition,[spl683_7])],[avatar_definition]) ).
fof(f22558,definition,
( spl683_9
<=> v3_struct_0(sK81) ),
introduced(definition,[new_symbols(definition,[spl683_9])],[avatar_definition]) ).
fof(f22566,definition,
( spl683_11
<=> l1_pre_topc(sK80) ),
introduced(definition,[new_symbols(definition,[spl683_11])],[avatar_definition]) ).
fof(f22570,definition,
( spl683_12
<=> v2_pre_topc(sK80) ),
introduced(definition,[new_symbols(definition,[spl683_12])],[avatar_definition]) ).
fof(f22578,definition,
( spl683_14
<=> l1_pre_topc(sK81) ),
introduced(definition,[new_symbols(definition,[spl683_14])],[avatar_definition]) ).
fof(f22591,plain,
~ spl683_9,
inference(avatar_split_clause,[],[f17489,f22558]) ).
fof(f22594,plain,
~ spl683_7,
inference(avatar_split_clause,[],[f17486,f22550]) ).
fof(f22626,definition,
( spl683_23
<=> v2_tsp_2(sK81,sK80) ),
introduced(definition,[new_symbols(definition,[spl683_23])],[avatar_definition]) ).
fof(f22630,definition,
( spl683_24
<=> m2_tsp_1(sK81,sK80) ),
introduced(definition,[new_symbols(definition,[spl683_24])],[avatar_definition]) ).
fof(f22653,plain,
spl683_11,
inference(avatar_split_clause,[],[f17484,f22566]) ).
fof(f22654,plain,
( m2_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(superposition,[],[f17693,f22496]) ).
fof(f22671,plain,
( m2_relset_1(sF674,u1_struct_0(sK80),sF678)
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(forward_demodulation,[],[f22654,f22504]) ).
fof(f22672,plain,
( m2_relset_1(sF674,sF675,sF678)
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(forward_demodulation,[],[f22671,f22498]) ).
fof(f22674,definition,
( spl683_32
<=> m1_pre_topc(sK81,sK80) ),
introduced(definition,[new_symbols(definition,[spl683_32])],[avatar_definition]) ).
fof(f22676,plain,
( ~ m1_pre_topc(sK81,sK80)
| spl683_32 ),
inference(avatar_component_clause,[],[f22674]) ).
fof(f22678,definition,
( spl683_33
<=> m2_relset_1(sF674,sF675,sF678) ),
introduced(definition,[new_symbols(definition,[spl683_33])],[avatar_definition]) ).
fof(f22680,plain,
( m2_relset_1(sF674,sF675,sF678)
| ~ spl683_33 ),
inference(avatar_component_clause,[],[f22678]) ).
fof(f22681,plain,
( ~ spl683_32
| ~ spl683_23
| spl683_9
| ~ spl683_11
| ~ spl683_12
| spl683_7
| spl683_33 ),
inference(avatar_split_clause,[],[f22672,f22678,f22550,f22570,f22566,f22558,f22626,f22674]) ).
fof(f22689,plain,
! [X2,X0,X1] :
( k2_xboole_0(X0,X1) = k4_subset_1(X2,X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(superposition,[],[f17542,f17540]) ).
fof(f22690,plain,
! [X2,X0,X1] :
( k2_xboole_0(X0,X1) = k4_subset_1(X2,X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f22689]) ).
fof(f22696,definition,
( spl683_34
<=> m1_subset_1(sF680,k1_zfmisc_1(sF678)) ),
introduced(definition,[new_symbols(definition,[spl683_34])],[avatar_definition]) ).
fof(f22700,definition,
( spl683_35
<=> m1_subset_1(sF679,k1_zfmisc_1(sF678)) ),
introduced(definition,[new_symbols(definition,[spl683_35])],[avatar_definition]) ).
fof(f22717,definition,
( spl683_38
<=> m1_subset_1(sK82,sF682) ),
introduced(definition,[new_symbols(definition,[spl683_38])],[avatar_definition]) ).
fof(f22721,definition,
( spl683_39
<=> m1_subset_1(sK83,sF682) ),
introduced(definition,[new_symbols(definition,[spl683_39])],[avatar_definition]) ).
fof(f22728,plain,
spl683_39,
inference(avatar_split_clause,[],[f22514,f22721]) ).
fof(f22731,plain,
spl683_38,
inference(avatar_split_clause,[],[f22515,f22717]) ).
fof(f22762,plain,
( m1_subset_1(sF679,k1_zfmisc_1(u1_struct_0(sK81)))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(superposition,[],[f17684,f22506]) ).
fof(f22763,plain,
( m1_subset_1(sF680,k1_zfmisc_1(u1_struct_0(sK81)))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(superposition,[],[f17684,f22508]) ).
fof(f22769,definition,
( spl683_43
<=> l1_struct_0(sK81) ),
introduced(definition,[new_symbols(definition,[spl683_43])],[avatar_definition]) ).
fof(f22771,plain,
( ~ l1_struct_0(sK81)
| spl683_43 ),
inference(avatar_component_clause,[],[f22769]) ).
fof(f22776,plain,
( m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22763,f22504]) ).
fof(f22777,plain,
( m1_subset_1(sF679,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22762,f22504]) ).
fof(f22780,definition,
( spl683_45
<=> l1_struct_0(sK80) ),
introduced(definition,[new_symbols(definition,[spl683_45])],[avatar_definition]) ).
fof(f22782,plain,
( ~ l1_struct_0(sK80)
| spl683_45 ),
inference(avatar_component_clause,[],[f22780]) ).
fof(f22787,plain,
( ~ v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22776,f22504]) ).
fof(f22788,plain,
( ~ v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| m1_subset_1(sF679,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22777,f22504]) ).
fof(f22790,plain,
( ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22787,f22498]) ).
fof(f22791,plain,
( ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF679,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22788,f22498]) ).
fof(f22793,plain,
( ~ m1_relset_1(sF674,u1_struct_0(sK80),sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22790,f22504]) ).
fof(f22794,plain,
( ~ m1_relset_1(sF674,u1_struct_0(sK80),sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF679,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22791,f22504]) ).
fof(f22796,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22793,f22498]) ).
fof(f22797,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| m1_subset_1(sF679,k1_zfmisc_1(sF678))
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22794,f22498]) ).
fof(f22800,definition,
( spl683_47
<=> v1_funct_1(sF674) ),
introduced(definition,[new_symbols(definition,[spl683_47])],[avatar_definition]) ).
fof(f22804,definition,
( spl683_48
<=> v1_funct_2(sF674,sF675,sF678) ),
introduced(definition,[new_symbols(definition,[spl683_48])],[avatar_definition]) ).
fof(f22808,definition,
( spl683_49
<=> m1_relset_1(sF674,sF675,sF678) ),
introduced(definition,[new_symbols(definition,[spl683_49])],[avatar_definition]) ).
fof(f22810,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| spl683_49 ),
inference(avatar_component_clause,[],[f22808]) ).
fof(f22811,plain,
( ~ spl683_47
| ~ spl683_43
| ~ spl683_45
| spl683_34
| ~ spl683_48
| ~ spl683_49 ),
inference(avatar_split_clause,[],[f22796,f22808,f22804,f22696,f22780,f22769,f22800]) ).
fof(f22812,plain,
( ~ spl683_47
| ~ spl683_43
| ~ spl683_45
| spl683_35
| ~ spl683_48
| ~ spl683_49 ),
inference(avatar_split_clause,[],[f22797,f22808,f22804,f22700,f22780,f22769,f22800]) ).
fof(f22820,plain,
spl683_12,
inference(avatar_split_clause,[],[f17485,f22570]) ).
fof(f22830,plain,
( v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(superposition,[],[f17695,f22496]) ).
fof(f22847,plain,
( v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(forward_demodulation,[],[f22830,f22504]) ).
fof(f22848,plain,
( v1_funct_2(sF674,sF675,sF678)
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(forward_demodulation,[],[f22847,f22498]) ).
fof(f22849,plain,
( ~ spl683_32
| ~ spl683_23
| spl683_9
| ~ spl683_11
| ~ spl683_12
| spl683_7
| spl683_48 ),
inference(avatar_split_clause,[],[f22848,f22804,f22550,f22570,f22566,f22558,f22626,f22674]) ).
fof(f22850,plain,
( sF677 = k9_relat_1(sF674,sF676)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(superposition,[],[f17683,f22502]) ).
fof(f22851,plain,
( sF679 = k9_relat_1(sF674,sK82)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(superposition,[],[f17683,f22506]) ).
fof(f22852,plain,
( sF680 = k9_relat_1(sF674,sK83)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ v1_funct_2(sF674,u1_struct_0(sK80),u1_struct_0(sK81))
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(superposition,[],[f17683,f22508]) ).
fof(f22863,plain,
( ~ v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| sF680 = k9_relat_1(sF674,sK83)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22852,f22504]) ).
fof(f22864,plain,
( ~ v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| sF679 = k9_relat_1(sF674,sK82)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22851,f22504]) ).
fof(f22865,plain,
( ~ v1_funct_2(sF674,u1_struct_0(sK80),sF678)
| sF677 = k9_relat_1(sF674,sF676)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22850,f22504]) ).
fof(f22869,plain,
( ~ v1_funct_2(sF674,sF675,sF678)
| sF680 = k9_relat_1(sF674,sK83)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22863,f22498]) ).
fof(f22870,plain,
( ~ v1_funct_2(sF674,sF675,sF678)
| sF679 = k9_relat_1(sF674,sK82)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22864,f22498]) ).
fof(f22871,plain,
( ~ v1_funct_2(sF674,sF675,sF678)
| sF677 = k9_relat_1(sF674,sF676)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674)
| ~ m1_relset_1(sF674,u1_struct_0(sK80),u1_struct_0(sK81)) ),
inference(forward_demodulation,[],[f22865,f22498]) ).
fof(f22875,plain,
( ~ m1_relset_1(sF674,u1_struct_0(sK80),sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF680 = k9_relat_1(sF674,sK83)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22869,f22504]) ).
fof(f22876,plain,
( ~ m1_relset_1(sF674,u1_struct_0(sK80),sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF679 = k9_relat_1(sF674,sK82)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22870,f22504]) ).
fof(f22877,plain,
( ~ m1_relset_1(sF674,u1_struct_0(sK80),sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF677 = k9_relat_1(sF674,sF676)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22871,f22504]) ).
fof(f22881,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF680 = k9_relat_1(sF674,sK83)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22875,f22498]) ).
fof(f22882,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF679 = k9_relat_1(sF674,sK82)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22876,f22498]) ).
fof(f22883,plain,
( ~ m1_relset_1(sF674,sF675,sF678)
| ~ v1_funct_2(sF674,sF675,sF678)
| sF677 = k9_relat_1(sF674,sF676)
| ~ l1_struct_0(sK80)
| ~ l1_struct_0(sK81)
| ~ v1_funct_1(sF674) ),
inference(forward_demodulation,[],[f22877,f22498]) ).
fof(f22885,definition,
( spl683_55
<=> sF680 = k9_relat_1(sF674,sK83) ),
introduced(definition,[new_symbols(definition,[spl683_55])],[avatar_definition]) ).
fof(f22887,plain,
( sF680 = k9_relat_1(sF674,sK83)
| ~ spl683_55 ),
inference(avatar_component_clause,[],[f22885]) ).
fof(f22890,definition,
( spl683_56
<=> sF679 = k9_relat_1(sF674,sK82) ),
introduced(definition,[new_symbols(definition,[spl683_56])],[avatar_definition]) ).
fof(f22892,plain,
( sF679 = k9_relat_1(sF674,sK82)
| ~ spl683_56 ),
inference(avatar_component_clause,[],[f22890]) ).
fof(f22895,definition,
( spl683_57
<=> sF677 = k9_relat_1(sF674,sF676) ),
introduced(definition,[new_symbols(definition,[spl683_57])],[avatar_definition]) ).
fof(f22897,plain,
( sF677 = k9_relat_1(sF674,sF676)
| ~ spl683_57 ),
inference(avatar_component_clause,[],[f22895]) ).
fof(f22899,plain,
( ~ spl683_47
| ~ spl683_43
| ~ spl683_45
| spl683_55
| ~ spl683_48
| ~ spl683_49 ),
inference(avatar_split_clause,[],[f22881,f22808,f22804,f22885,f22780,f22769,f22800]) ).
fof(f22900,plain,
( ~ spl683_47
| ~ spl683_43
| ~ spl683_45
| spl683_56
| ~ spl683_48
| ~ spl683_49 ),
inference(avatar_split_clause,[],[f22882,f22808,f22804,f22890,f22780,f22769,f22800]) ).
fof(f22901,plain,
( ~ spl683_47
| ~ spl683_43
| ~ spl683_45
| spl683_57
| ~ spl683_48
| ~ spl683_49 ),
inference(avatar_split_clause,[],[f22883,f22808,f22804,f22895,f22780,f22769,f22800]) ).
fof(f22936,plain,
( l1_pre_topc(sK81)
| ~ l1_pre_topc(sK80) ),
inference(resolution,[],[f17583,f17487]) ).
fof(f22937,plain,
( ~ spl683_11
| spl683_14 ),
inference(avatar_split_clause,[],[f22936,f22578,f22566]) ).
fof(f22964,plain,
( sF681 = k2_xboole_0(sF680,sF679)
| ~ m1_subset_1(sF680,k1_zfmisc_1(sF678))
| ~ m1_subset_1(sF679,k1_zfmisc_1(sF678)) ),
inference(superposition,[],[f22690,f22510]) ).
fof(f22965,plain,
( sF676 = k2_xboole_0(sK83,sK82)
| ~ m1_subset_1(sK83,k1_zfmisc_1(sF675))
| ~ m1_subset_1(sK82,k1_zfmisc_1(sF675)) ),
inference(superposition,[],[f22690,f22500]) ).
fof(f22983,plain,
( ~ m1_subset_1(sK83,sF682)
| sF676 = k2_xboole_0(sK83,sK82)
| ~ m1_subset_1(sK82,k1_zfmisc_1(sF675)) ),
inference(forward_demodulation,[],[f22965,f22513]) ).
fof(f22985,plain,
( ~ m1_subset_1(sK82,sF682)
| ~ m1_subset_1(sK83,sF682)
| sF676 = k2_xboole_0(sK83,sK82) ),
inference(forward_demodulation,[],[f22983,f22513]) ).
fof(f22987,definition,
( spl683_69
<=> sF676 = k2_xboole_0(sK83,sK82) ),
introduced(definition,[new_symbols(definition,[spl683_69])],[avatar_definition]) ).
fof(f22989,plain,
( sF676 = k2_xboole_0(sK83,sK82)
| ~ spl683_69 ),
inference(avatar_component_clause,[],[f22987]) ).
fof(f22991,plain,
( spl683_69
| ~ spl683_39
| ~ spl683_38 ),
inference(avatar_split_clause,[],[f22985,f22717,f22721,f22987]) ).
fof(f22998,plain,
spl683_23,
inference(avatar_split_clause,[],[f17488,f22626]) ).
fof(f23001,plain,
spl683_24,
inference(avatar_split_clause,[],[f17487,f22630]) ).
fof(f23013,plain,
( ~ l1_pre_topc(sK80)
| spl683_45 ),
inference(resolution,[],[f17962,f22782]) ).
fof(f23014,plain,
( ~ l1_pre_topc(sK81)
| spl683_43 ),
inference(resolution,[],[f17962,f22771]) ).
fof(f23015,plain,
( ~ spl683_14
| spl683_43 ),
inference(avatar_split_clause,[],[f23014,f22769,f22578]) ).
fof(f23016,plain,
( ~ spl683_11
| spl683_45 ),
inference(avatar_split_clause,[],[f23013,f22780,f22566]) ).
fof(f23080,plain,
( ~ m2_tsp_1(sK81,sK80)
| ~ l1_pre_topc(sK80)
| spl683_32 ),
inference(resolution,[],[f17580,f22676]) ).
fof(f23081,plain,
( ~ spl683_11
| ~ spl683_24
| spl683_32 ),
inference(avatar_split_clause,[],[f23080,f22674,f22630,f22566]) ).
fof(f23163,plain,
( v1_funct_1(sF674)
| v3_struct_0(sK80)
| ~ v2_pre_topc(sK80)
| ~ l1_pre_topc(sK80)
| v3_struct_0(sK81)
| ~ v2_tsp_2(sK81,sK80)
| ~ m1_pre_topc(sK81,sK80) ),
inference(superposition,[],[f17696,f22496]) ).
fof(f23164,plain,
( ~ spl683_32
| ~ spl683_23
| spl683_9
| ~ spl683_11
| ~ spl683_12
| spl683_7
| spl683_47 ),
inference(avatar_split_clause,[],[f23163,f22800,f22550,f22570,f22566,f22558,f22626,f22674]) ).
fof(f23172,plain,
( ~ m2_relset_1(sF674,sF675,sF678)
| spl683_49 ),
inference(resolution,[],[f22810,f19306]) ).
fof(f23173,plain,
( ~ spl683_33
| spl683_49 ),
inference(avatar_split_clause,[],[f23172,f22808,f22678]) ).
fof(f23175,definition,
( spl683_83
<=> sF681 = k2_xboole_0(sF680,sF679) ),
introduced(definition,[new_symbols(definition,[spl683_83])],[avatar_definition]) ).
fof(f23177,plain,
( sF681 = k2_xboole_0(sF680,sF679)
| ~ spl683_83 ),
inference(avatar_component_clause,[],[f23175]) ).
fof(f23179,plain,
( ~ spl683_35
| ~ spl683_34
| spl683_83 ),
inference(avatar_split_clause,[],[f22964,f23175,f22696,f22700]) ).
fof(f23241,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f19936,f19935]) ).
fof(f23248,plain,
( v1_relat_1(sF674)
| ~ spl683_33 ),
inference(resolution,[],[f23241,f22680]) ).
fof(f23631,definition,
( spl683_115
<=> v1_relat_1(sF674) ),
introduced(definition,[new_symbols(definition,[spl683_115])],[avatar_definition]) ).
fof(f23632,plain,
( v1_relat_1(sF674)
| ~ spl683_115 ),
inference(avatar_component_clause,[],[f23631]) ).
fof(f23692,plain,
( spl683_115
| ~ spl683_33 ),
inference(avatar_split_clause,[],[f23248,f22678,f23631]) ).
fof(f26444,plain,
( ! [X0,X1] : k9_relat_1(sF674,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(sF674,X0),k9_relat_1(sF674,X1))
| ~ spl683_115 ),
inference(resolution,[],[f19273,f23632]) ).
fof(f26456,plain,
( ! [X0] : k2_xboole_0(sF680,k9_relat_1(sF674,X0)) = k9_relat_1(sF674,k2_xboole_0(sK83,X0))
| ~ spl683_55
| ~ spl683_115 ),
inference(superposition,[],[f26444,f22887]) ).
fof(f26669,plain,
( k9_relat_1(sF674,sF676) = k2_xboole_0(sF680,k9_relat_1(sF674,sK82))
| ~ spl683_55
| ~ spl683_69
| ~ spl683_115 ),
inference(superposition,[],[f26456,f22989]) ).
fof(f26699,plain,
( k9_relat_1(sF674,sF676) = k2_xboole_0(sF680,sF679)
| ~ spl683_55
| ~ spl683_56
| ~ spl683_69
| ~ spl683_115 ),
inference(forward_demodulation,[],[f26669,f22892]) ).
fof(f26700,plain,
( sF681 = k9_relat_1(sF674,sF676)
| ~ spl683_55
| ~ spl683_56
| ~ spl683_69
| ~ spl683_83
| ~ spl683_115 ),
inference(forward_demodulation,[],[f26699,f23177]) ).
fof(f26701,plain,
( sF677 = sF681
| ~ spl683_55
| ~ spl683_56
| ~ spl683_57
| ~ spl683_69
| ~ spl683_83
| ~ spl683_115 ),
inference(forward_demodulation,[],[f26700,f22897]) ).
fof(f26702,plain,
( $false
| ~ spl683_55
| ~ spl683_56
| ~ spl683_57
| ~ spl683_69
| ~ spl683_83
| ~ spl683_115 ),
inference(backward_subsumption_resolution,[],[f22511,f26701]) ).
fof(f26705,plain,
( ~ spl683_55
| ~ spl683_56
| ~ spl683_57
| ~ spl683_69
| ~ spl683_83
| ~ spl683_115 ),
inference(avatar_contradiction_clause,[],[f26702]) ).
cnf(s9,plain,
~ spl683_9,
inference(sat_conversion,[],[f22591]) ).
cnf(s11,plain,
~ spl683_7,
inference(sat_conversion,[],[f22594]) ).
cnf(s17,plain,
spl683_11,
inference(sat_conversion,[],[f22653]) ).
cnf(s21,plain,
( spl683_7
| spl683_9
| ~ spl683_11
| ~ spl683_12
| ~ spl683_23
| ~ spl683_32
| spl683_33 ),
inference(sat_conversion,[],[f22681]) ).
cnf(s27,plain,
spl683_39,
inference(sat_conversion,[],[f22728]) ).
cnf(s29,plain,
spl683_38,
inference(sat_conversion,[],[f22731]) ).
cnf(s35,plain,
( spl683_34
| ~ spl683_43
| ~ spl683_45
| ~ spl683_47
| ~ spl683_48
| ~ spl683_49 ),
inference(sat_conversion,[],[f22811]) ).
cnf(s36,plain,
( spl683_35
| ~ spl683_43
| ~ spl683_45
| ~ spl683_47
| ~ spl683_48
| ~ spl683_49 ),
inference(sat_conversion,[],[f22812]) ).
cnf(s39,plain,
spl683_12,
inference(sat_conversion,[],[f22820]) ).
cnf(s44,plain,
( spl683_7
| spl683_9
| ~ spl683_11
| ~ spl683_12
| ~ spl683_23
| ~ spl683_32
| spl683_48 ),
inference(sat_conversion,[],[f22849]) ).
cnf(s48,plain,
( ~ spl683_43
| ~ spl683_45
| ~ spl683_47
| ~ spl683_48
| ~ spl683_49
| spl683_55 ),
inference(sat_conversion,[],[f22899]) ).
cnf(s49,plain,
( ~ spl683_43
| ~ spl683_45
| ~ spl683_47
| ~ spl683_48
| ~ spl683_49
| spl683_56 ),
inference(sat_conversion,[],[f22900]) ).
cnf(s50,plain,
( ~ spl683_43
| ~ spl683_45
| ~ spl683_47
| ~ spl683_48
| ~ spl683_49
| spl683_57 ),
inference(sat_conversion,[],[f22901]) ).
cnf(s58,plain,
( ~ spl683_11
| spl683_14 ),
inference(sat_conversion,[],[f22937]) ).
cnf(s66,plain,
( ~ spl683_38
| ~ spl683_39
| spl683_69 ),
inference(sat_conversion,[],[f22991]) ).
cnf(s70,plain,
spl683_23,
inference(sat_conversion,[],[f22998]) ).
cnf(s72,plain,
spl683_24,
inference(sat_conversion,[],[f23001]) ).
cnf(s74,plain,
( ~ spl683_14
| spl683_43 ),
inference(sat_conversion,[],[f23015]) ).
cnf(s75,plain,
( ~ spl683_11
| spl683_45 ),
inference(sat_conversion,[],[f23016]) ).
cnf(s84,plain,
( ~ spl683_11
| ~ spl683_24
| spl683_32 ),
inference(sat_conversion,[],[f23081]) ).
cnf(s92,plain,
( spl683_7
| spl683_9
| ~ spl683_11
| ~ spl683_12
| ~ spl683_23
| ~ spl683_32
| spl683_47 ),
inference(sat_conversion,[],[f23164]) ).
cnf(s94,plain,
( ~ spl683_33
| spl683_49 ),
inference(sat_conversion,[],[f23173]) ).
cnf(s96,plain,
( ~ spl683_34
| ~ spl683_35
| spl683_83 ),
inference(sat_conversion,[],[f23179]) ).
cnf(s166,plain,
( ~ spl683_33
| spl683_115 ),
inference(sat_conversion,[],[f23692]) ).
cnf(s607,plain,
( ~ spl683_55
| ~ spl683_56
| ~ spl683_57
| ~ spl683_69
| ~ spl683_83
| ~ spl683_115 ),
inference(sat_conversion,[],[f26705]) ).
cnf(s616,plain,
( spl683_7
| spl683_9
| ~ spl683_11
| ~ spl683_12
| ~ spl683_32
| spl683_48 ),
inference(rat,[],[s44,s70]) ).
cnf(s620,plain,
spl683_69,
inference(rat,[],[s66,s29,s27]) ).
cnf(s625,plain,
( spl683_7
| spl683_9
| ~ spl683_11
| ~ spl683_32
| spl683_33 ),
inference(rat,[],[s21,s70,s39]) ).
cnf(s631,plain,
spl683_32,
inference(rat,[],[s84,s72,s17]) ).
cnf(s632,plain,
spl683_45,
inference(rat,[],[s75,s17]) ).
cnf(s633,plain,
spl683_14,
inference(rat,[],[s58,s17]) ).
cnf(s665,plain,
spl683_43,
inference(rat,[],[s74,s633]) ).
cnf(s708,plain,
spl683_47,
inference(rat,[],[s92,s11,s631,s70,s39,s17,s9]) ).
cnf(s715,plain,
spl683_48,
inference(rat,[],[s616,s11,s631,s39,s17,s9]) ).
cnf(s718,plain,
spl683_33,
inference(rat,[],[s625,s11,s631,s17,s9]) ).
cnf(s723,plain,
spl683_115,
inference(rat,[],[s166,s718]) ).
cnf(s724,plain,
spl683_49,
inference(rat,[],[s94,s718]) ).
cnf(s729,plain,
spl683_57,
inference(rat,[],[s50,s715,s708,s665,s632,s724]) ).
cnf(s730,plain,
spl683_56,
inference(rat,[],[s49,s715,s708,s665,s632,s724]) ).
cnf(s731,plain,
spl683_55,
inference(rat,[],[s48,s715,s708,s665,s632,s724]) ).
cnf(s733,plain,
spl683_35,
inference(rat,[],[s36,s708,s715,s665,s632,s724]) ).
cnf(s734,plain,
spl683_34,
inference(rat,[],[s35,s708,s715,s665,s632,s724]) ).
cnf(s760,plain,
~ spl683_83,
inference(rat,[],[s607,s723,s730,s620,s729,s731]) ).
cnf(s773,plain,
$false,
inference(rat,[],[s96,s760,s733,s734]) ).
fof(f26706,plain,
$false,
inference(avatar_sat_refutation,[],[s773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP038+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:02:15 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.24/4.75 % (1877596)Detected formulas, will run a generic FOF schedule.
% 24.24/4.75 % (1877627)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=3915459827:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 24.24/4.75 % (1877632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=832259123:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 24.24/4.75 % (1877633)dis-21_1_sil=8000:lcm=predicate:random_seed=1044885611:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 24.24/4.75 % (1877629)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=2640619211:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 24.24/4.75 % (1877631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2056108586:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 24.24/4.75 % (1877630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2928001040:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 24.24/4.75 % (1877628)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=4186278150:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 24.24/4.75 % (1877632)Instruction limit reached!
% 24.24/4.75 % (1877632)------------------------------
% 24.24/4.75 % (1877632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.75 % (1877632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.75 % (1877632)CaDiCaL version: 2.1.3
% 24.24/4.75 % (1877632)Termination reason: Instruction limit
% 24.24/4.75 % (1877632)Termination phase: Property scanning
% 24.24/4.75 % (1877632)Time elapsed: 0.115 s
% 24.24/4.75 % (1877632)Peak memory usage: 102 MB
% 24.24/4.75 % (1877632)Instructions burned: 139 (million)
% 24.24/4.75 % (1877630)Instruction limit reached!
% 24.24/4.75 % (1877630)------------------------------
% 24.24/4.75 % (1877630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.75 % (1877630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.75 % (1877630)CaDiCaL version: 2.1.3
% 24.24/4.75 % (1877630)Termination reason: Instruction limit
% 24.24/4.75 % (1877630)Termination phase: Saturation
% 24.24/4.75 % (1877630)Time elapsed: 0.115 s
% 24.24/4.75 % (1877630)Peak memory usage: 107 MB
% 24.24/4.75 % (1877630)Instructions burned: 110 (million)
% 24.24/4.75 % (1877633)Instruction limit reached!
% 24.24/4.75 % (1877633)------------------------------
% 24.24/4.75 % (1877633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.75 % (1877633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.75 % (1877633)CaDiCaL version: 2.1.3
% 24.24/4.75 % (1877633)Termination reason: Instruction limit
% 24.24/4.75 % (1877633)Termination phase: Preprocessing 1
% 24.24/4.75 % (1877633)Time elapsed: 0.128 s
% 24.24/4.75 % (1877633)Peak memory usage: 103 MB
% 24.24/4.75 % (1877633)Instructions burned: 129 (million)
% 24.24/4.75 % (1877631)Instruction limit reached!
% 24.24/4.75 % (1877631)------------------------------
% 24.24/4.75 % (1877631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.75 % (1877631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.75 % (1877631)CaDiCaL version: 2.1.3
% 24.24/4.75 % (1877631)Termination reason: Instruction limit
% 24.24/4.75 % (1877631)Termination phase: Naming
% 24.24/4.75 % (1877631)Time elapsed: 0.143 s
% 24.24/4.75 % (1877631)Peak memory usage: 106 MB
% 24.24/4.75 % (1877631)Instructions burned: 119 (million)
% 24.24/4.75 % (1877646)lrs+10_1_sil=8000:sp=occurrence:random_seed=1889821960:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 24.24/4.75 % (1877647)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3158768529:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 24.24/4.75 % (1877648)lrs+1011_1_sil=32000:sp=occurrence:random_seed=788316857:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 24.24/4.75 % (1877649)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=292417174:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 24.24/4.75 % (1877647)Instruction limit reached!
% 30.13/5.67 % (1877647)------------------------------
% 30.13/5.67 % (1877647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877647)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877647)Termination reason: Instruction limit
% 30.13/5.67 % (1877647)Termination phase: Property scanning
% 30.13/5.67 % (1877647)Time elapsed: 0.123 s
% 30.13/5.67 % (1877647)Peak memory usage: 102 MB
% 30.13/5.67 % (1877647)Instructions burned: 157 (million)
% 30.13/5.67 % (1877649)Instruction limit reached!
% 30.13/5.67 % (1877649)------------------------------
% 30.13/5.67 % (1877649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877649)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877649)Termination reason: Instruction limit
% 30.13/5.67 % (1877649)Termination phase: SInE selection
% 30.13/5.67 % (1877649)Time elapsed: 0.140 s
% 30.13/5.67 % (1877649)Peak memory usage: 103 MB
% 30.13/5.67 % (1877649)Instructions burned: 248 (million)
% 30.13/5.67 % (1877646)Instruction limit reached!
% 30.13/5.67 % (1877646)------------------------------
% 30.13/5.67 % (1877646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877646)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877646)Termination reason: Instruction limit
% 30.13/5.67 % (1877646)Termination phase: Saturation
% 30.13/5.67 % (1877646)Time elapsed: 0.275 s
% 30.13/5.67 % (1877646)Peak memory usage: 110 MB
% 30.13/5.67 % (1877646)Instructions burned: 285 (million)
% 30.13/5.67 % (1877660)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1031666870:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 30.13/5.67 % (1877648)Instruction limit reached!
% 30.13/5.67 % (1877648)------------------------------
% 30.13/5.67 % (1877648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877648)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877648)Termination reason: Instruction limit
% 30.13/5.67 % (1877648)Termination phase: Saturation
% 30.13/5.67 % (1877648)Time elapsed: 0.347 s
% 30.13/5.67 % (1877648)Peak memory usage: 109 MB
% 30.13/5.67 % (1877648)Instructions burned: 325 (million)
% 30.13/5.67 % (1877661)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1133185652:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 30.13/5.67 % (1877662)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3028399338:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 30.13/5.67 % (1877662)Instruction limit reached!
% 30.13/5.67 % (1877662)------------------------------
% 30.13/5.67 % (1877662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877662)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877662)Termination reason: Instruction limit
% 30.13/5.67 % (1877662)Termination phase: Preprocessing 2
% 30.13/5.67 % (1877662)Time elapsed: 0.148 s
% 30.13/5.67 % (1877662)Peak memory usage: 105 MB
% 30.13/5.67 % (1877662)Instructions burned: 113 (million)
% 30.13/5.67 % (1877660)Instruction limit reached!
% 30.13/5.67 % (1877660)------------------------------
% 30.13/5.67 % (1877660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.13/5.67 % (1877660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.13/5.67 % (1877660)CaDiCaL version: 2.1.3
% 30.13/5.67 % (1877660)Termination reason: Instruction limit
% 30.13/5.67 % (1877660)Termination phase: Property scanning
% 30.13/5.67 % (1877660)Time elapsed: 0.264 s
% 30.13/5.67 % (1877660)Peak memory usage: 109 MB
% 30.13/5.67 % (1877660)Instructions burned: 294 (million)
% 30.13/5.67 % (1877667)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1437607552:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 30.13/5.67 % (1877670)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3355158969:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 30.13/5.67 % (1877667)Instruction limit reached!
% 30.13/5.67 % (1877667)------------------------------
% 30.13/5.67 % (1877667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877667)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877667)Termination reason: Instruction limit
% 72.56/11.54 % (1877667)Termination phase: Preprocessing 2
% 72.56/11.54 % (1877667)Time elapsed: 0.158 s
% 72.56/11.54 % (1877667)Peak memory usage: 106 MB
% 72.56/11.54 % (1877667)Instructions burned: 127 (million)
% 72.56/11.54 % (1877671)lrs+10_1_sil=8000:sp=occurrence:random_seed=2376276885:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 72.56/11.54 % (1877670)Instruction limit reached!
% 72.56/11.54 % (1877670)------------------------------
% 72.56/11.54 % (1877670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877670)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877670)Termination reason: Instruction limit
% 72.56/11.54 % (1877670)Termination phase: Property scanning
% 72.56/11.54 % (1877670)Time elapsed: 0.097 s
% 72.56/11.54 % (1877670)Peak memory usage: 102 MB
% 72.56/11.54 % (1877670)Instructions burned: 114 (million)
% 72.56/11.54 % (1877675)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2411698455:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 72.56/11.54 % (1877678)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2031989309:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 72.56/11.54 % (1877675)Instruction limit reached!
% 72.56/11.54 % (1877675)------------------------------
% 72.56/11.54 % (1877675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877675)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877675)Termination reason: Instruction limit
% 72.56/11.54 % (1877675)Termination phase: Saturation
% 72.56/11.54 % (1877675)Time elapsed: 0.435 s
% 72.56/11.54 % (1877675)Peak memory usage: 111 MB
% 72.56/11.54 % (1877675)Instructions burned: 437 (million)
% 72.56/11.54 % (1877687)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=334840330:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 72.56/11.54 % (1877671)Instruction limit reached!
% 72.56/11.54 % (1877671)------------------------------
% 72.56/11.54 % (1877671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877671)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877671)Termination reason: Instruction limit
% 72.56/11.54 % (1877671)Termination phase: Saturation
% 72.56/11.54 % (1877671)Time elapsed: 0.866 s
% 72.56/11.54 % (1877671)Peak memory usage: 124 MB
% 72.56/11.54 % (1877671)Instructions burned: 908 (million)
% 72.56/11.54 % (1877687)Instruction limit reached!
% 72.56/11.54 % (1877687)------------------------------
% 72.56/11.54 % (1877687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877687)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877687)Termination reason: Instruction limit
% 72.56/11.54 % (1877687)Termination phase: Property scanning
% 72.56/11.54 % (1877687)Time elapsed: 0.174 s
% 72.56/11.54 % (1877687)Peak memory usage: 107 MB
% 72.56/11.54 % (1877687)Instructions burned: 134 (million)
% 72.56/11.54 % (1877690)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2435649392:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 72.56/11.54 % (1877691)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2797668133:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 72.56/11.54 % (1877690)Instruction limit reached!
% 72.56/11.54 % (1877690)------------------------------
% 72.56/11.54 % (1877690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.56/11.54 % (1877690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.56/11.54 % (1877690)CaDiCaL version: 2.1.3
% 72.56/11.54 % (1877690)Termination reason: Instruction limit
% 72.56/11.54 % (1877690)Termination phase: Property scanning
% 72.56/11.54 % (1877690)Time elapsed: 0.650 s
% 72.56/11.54 % (1877690)Peak memory usage: 124 MB
% 72.56/11.54 % (1877690)Instructions burned: 593 (million)
% 72.56/11.54 % (1877700)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2538419701:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 96.60/15.00 % (1877661)Instruction limit reached!
% 96.60/15.00 % (1877661)------------------------------
% 96.60/15.00 % (1877661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877661)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877661)Termination reason: Instruction limit
% 96.60/15.00 % (1877661)Termination phase: Saturation
% 96.60/15.00 % (1877661)Time elapsed: 2.445 s
% 96.60/15.00 % (1877661)Peak memory usage: 239 MB
% 96.60/15.00 % (1877661)Instructions burned: 2351 (million)
% 96.60/15.00 % (1877700)Instruction limit reached!
% 96.60/15.00 % (1877700)------------------------------
% 96.60/15.00 % (1877700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877700)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877700)Termination reason: Instruction limit
% 96.60/15.00 % (1877700)Termination phase: Property scanning
% 96.60/15.00 % (1877700)Time elapsed: 0.106 s
% 96.60/15.00 % (1877700)Peak memory usage: 102 MB
% 96.60/15.00 % (1877700)Instructions burned: 125 (million)
% 96.60/15.00 % (1877704)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1238897261:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 96.60/15.00 % (1877705)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2448628080:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 96.60/15.00 % (1877704)Instruction limit reached!
% 96.60/15.00 % (1877704)------------------------------
% 96.60/15.00 % (1877704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877704)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877704)Termination reason: Instruction limit
% 96.60/15.00 % (1877704)Termination phase: Property scanning
% 96.60/15.00 % (1877704)Time elapsed: 0.057 s
% 96.60/15.00 % (1877704)Peak memory usage: 102 MB
% 96.60/15.00 % (1877704)Instructions burned: 136 (million)
% 96.60/15.00 % (1877705)Instruction limit reached!
% 96.60/15.00 % (1877705)------------------------------
% 96.60/15.00 % (1877705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877705)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877705)Termination reason: Instruction limit
% 96.60/15.00 % (1877705)Termination phase: Saturation
% 96.60/15.00 % (1877705)Time elapsed: 0.103 s
% 96.60/15.00 % (1877705)Peak memory usage: 107 MB
% 96.60/15.00 % (1877705)Instructions burned: 143 (million)
% 96.60/15.00 % (1877708)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1082182318:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 96.60/15.00 % (1877709)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=559738470:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 96.60/15.00 % (1877708)Instruction limit reached!
% 96.60/15.00 % (1877708)------------------------------
% 96.60/15.00 % (1877708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877708)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877708)Termination reason: Instruction limit
% 96.60/15.00 % (1877708)Termination phase: Saturation
% 96.60/15.00 % (1877708)Time elapsed: 0.279 s
% 96.60/15.00 % (1877708)Peak memory usage: 111 MB
% 96.60/15.00 % (1877708)Instructions burned: 431 (million)
% 96.60/15.00 % (1877741)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1644876915:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 96.60/15.00 % (1877741)Instruction limit reached!
% 96.60/15.00 % (1877741)------------------------------
% 96.60/15.00 % (1877741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.60/15.00 % (1877741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.60/15.00 % (1877741)CaDiCaL version: 2.1.3
% 96.60/15.00 % (1877741)Termination reason: Instruction limit
% 67.71/22.24 % (1877741)Termination phase: Preprocessing 1
% 67.71/22.24 % (1877741)Time elapsed: 0.113 s
% 67.71/22.24 % (1877741)Peak memory usage: 103 MB
% 67.71/22.24 % (1877741)Instructions burned: 150 (million)
% 67.71/22.24 % (1877820)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3275021757:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 67.71/22.24 % (1877678)Instruction limit reached!
% 67.71/22.24 % (1877678)------------------------------
% 67.71/22.24 % (1877678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877678)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877678)Termination reason: Instruction limit
% 67.71/22.24 % (1877678)Termination phase: Saturation
% 67.71/22.24 % (1877678)Time elapsed: 4.477 s
% 67.71/22.24 % (1877678)Peak memory usage: 426 MB
% 67.71/22.24 % (1877678)Instructions burned: 5204 (million)
% 67.71/22.24 % (1877869)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=97321998:i=667:av=off:fsr=off_2931 on theBenchmark for (2931ds/667Mi)
% 67.71/22.24 % (1877869)Instruction limit reached!
% 67.71/22.24 % (1877869)------------------------------
% 67.71/22.24 % (1877869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877869)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877869)Termination reason: Instruction limit
% 67.71/22.24 % (1877869)Termination phase: NewCNF
% 67.71/22.24 % (1877869)Time elapsed: 0.496 s
% 67.71/22.24 % (1877869)Peak memory usage: 135 MB
% 67.71/22.24 % (1877869)Instructions burned: 668 (million)
% 67.71/22.24 % (1877871)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1195802053:s2a=on:i=185:s2at=1.8:fdi=4_2925 on theBenchmark for (2925ds/185Mi)
% 67.71/22.24 % (1877871)Instruction limit reached!
% 67.71/22.24 % (1877871)------------------------------
% 67.71/22.24 % (1877871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877871)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877871)Termination reason: Instruction limit
% 67.71/22.24 % (1877871)Termination phase: Preprocessing 1
% 67.71/22.24 % (1877871)Time elapsed: 0.140 s
% 67.71/22.24 % (1877871)Peak memory usage: 103 MB
% 67.71/22.24 % (1877871)Instructions burned: 186 (million)
% 67.71/22.24 % (1877873)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=636446566:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2922 on theBenchmark for (2922ds/193Mi)
% 67.71/22.24 % (1877873)Instruction limit reached!
% 67.71/22.24 % (1877873)------------------------------
% 67.71/22.24 % (1877873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877873)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877873)Termination reason: Instruction limit
% 67.71/22.24 % (1877873)Termination phase: Naming
% 67.71/22.24 % (1877873)Time elapsed: 0.160 s
% 67.71/22.24 % (1877873)Peak memory usage: 106 MB
% 67.71/22.24 % (1877873)Instructions burned: 193 (million)
% 67.71/22.24 % (1877875)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2534857669:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2919 on theBenchmark for (2919ds/4850Mi)
% 67.71/22.24 % (1877709)Instruction limit reached!
% 67.71/22.24 % (1877709)------------------------------
% 67.71/22.24 % (1877709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877709)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877709)Termination reason: Instruction limit
% 67.71/22.24 % (1877709)Termination phase: Saturation
% 67.71/22.24 % (1877709)Time elapsed: 4.641 s
% 67.71/22.24 % (1877709)Peak memory usage: 539 MB
% 67.71/22.24 % (1877709)Instructions burned: 6060 (million)
% 67.71/22.24 % (1877877)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3210811646:i=12111:sd=1:ss=included_2907 on theBenchmark for (2907ds/12111Mi)
% 67.71/22.24 % (1877875)Instruction limit reached!
% 67.71/22.24 % (1877875)------------------------------
% 67.71/22.24 % (1877875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877875)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877875)Termination reason: Instruction limit
% 67.71/22.24 % (1877875)Termination phase: Saturation
% 67.71/22.24 % (1877875)Time elapsed: 2.625 s
% 67.71/22.24 % (1877875)Peak memory usage: 174 MB
% 67.71/22.24 % (1877875)Instructions burned: 4851 (million)
% 67.71/22.24 % (1877965)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=550868671:i=319:kws=precedence:fsr=off_2891 on theBenchmark for (2891ds/319Mi)
% 67.71/22.24 % (1877965)Instruction limit reached!
% 67.71/22.24 % (1877965)------------------------------
% 67.71/22.24 % (1877965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877965)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877965)Termination reason: Instruction limit
% 67.71/22.24 % (1877965)Termination phase: Preprocessing 3
% 67.71/22.24 % (1877965)Time elapsed: 0.223 s
% 67.71/22.24 % (1877965)Peak memory usage: 122 MB
% 67.71/22.24 % (1877965)Instructions burned: 320 (million)
% 67.71/22.24 % (1878130)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1555449330:i=2064:ep=RST_2887 on theBenchmark for (2887ds/2064Mi)
% 67.71/22.24 % (1877691)Instruction limit reached!
% 67.71/22.24 % (1877691)------------------------------
% 67.71/22.24 % (1877691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877691)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877691)Termination reason: Instruction limit
% 67.71/22.24 % (1877691)Termination phase: Saturation
% 67.71/22.24 % (1877691)Time elapsed: 8.225 s
% 67.71/22.24 % (1877691)Peak memory usage: 272 MB
% 67.71/22.24 % (1877691)Instructions burned: 13195 (million)
% 67.71/22.24 % (1878221)dis-1011_128_sil=32000:random_seed=4067066767:i=3706:ep=RST:av=off_2884 on theBenchmark for (2884ds/3706Mi)
% 67.71/22.24 % (1878130)Instruction limit reached!
% 67.71/22.24 % (1878130)------------------------------
% 67.71/22.24 % (1878130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1878130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1878130)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1878130)Termination reason: Instruction limit
% 67.71/22.24 % (1878130)Termination phase: Saturation
% 67.71/22.24 % (1878130)Time elapsed: 0.984 s
% 67.71/22.24 % (1878130)Peak memory usage: 147 MB
% 67.71/22.24 % (1878130)Instructions burned: 2065 (million)
% 67.71/22.24 % (1878353)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=584467265:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2876 on theBenchmark for (2876ds/757Mi)
% 67.71/22.24 % (1878353)Instruction limit reached!
% 67.71/22.24 % (1878353)------------------------------
% 67.71/22.24 % (1878353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1878353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1878353)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1878353)Termination reason: Instruction limit
% 67.71/22.24 % (1878353)Termination phase: Saturation
% 67.71/22.24 % (1878353)Time elapsed: 0.670 s
% 67.71/22.24 % (1878353)Peak memory usage: 113 MB
% 67.71/22.24 % (1878353)Instructions burned: 757 (million)
% 67.71/22.24 % (1878365)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=522836627:i=13913:ss=axioms:sgt=8_2868 on theBenchmark for (2868ds/13913Mi)
% 67.71/22.24 % (1878221)Instruction limit reached!
% 67.71/22.24 % (1878221)------------------------------
% 67.71/22.24 % (1878221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1878221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1878221)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1878221)Termination reason: Instruction limit
% 67.71/22.24 % (1878221)Termination phase: Saturation
% 67.71/22.24 % (1878221)Time elapsed: 2.393 s
% 67.71/22.24 % (1878221)Peak memory usage: 161 MB
% 67.71/22.24 % (1878221)Instructions burned: 3706 (million)
% 67.71/22.24 % (1878385)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1846354723:i=9925:aac=none_2858 on theBenchmark for (2858ds/9925Mi)
% 67.71/22.24 % (1877820)Instruction limit reached!
% 67.71/22.24 % (1877820)------------------------------
% 67.71/22.24 % (1877820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877820)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877820)Termination reason: Instruction limit
% 67.71/22.24 % (1877820)Termination phase: Saturation
% 67.71/22.24 % (1877820)Time elapsed: 9.172 s
% 67.71/22.24 % (1877820)Peak memory usage: 360 MB
% 67.71/22.24 % (1877820)Instructions burned: 14155 (million)
% 67.71/22.24 % (1878392)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2357369857:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2856 on theBenchmark for (2856ds/2479Mi)
% 67.71/22.24 % (1878392)Instruction limit reached!
% 67.71/22.24 % (1878392)------------------------------
% 67.71/22.24 % (1878392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1878392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1878392)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1878392)Termination reason: Instruction limit
% 67.71/22.24 % (1878392)Termination phase: Saturation
% 67.71/22.24 % (1878392)Time elapsed: 2.313 s
% 67.71/22.24 % (1878392)Peak memory usage: 128 MB
% 67.71/22.24 % (1878392)Instructions burned: 2480 (million)
% 67.71/22.24 % (1878411)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1729360726:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2831 on theBenchmark for (2831ds/440Mi)
% 67.71/22.24 % (1878411)Instruction limit reached!
% 67.71/22.24 % (1878411)------------------------------
% 67.71/22.24 % (1878411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1878411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1878411)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1878411)Termination reason: Instruction limit
% 67.71/22.24 % (1878411)Termination phase: Preprocessing 1
% 67.71/22.24 % (1878411)Time elapsed: 0.372 s
% 67.71/22.24 % (1878411)Peak memory usage: 103 MB
% 67.71/22.24 % (1878411)Instructions burned: 440 (million)
% 67.71/22.24 % (1878417)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2665778534:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2824 on theBenchmark for (2824ds/11145Mi)
% 67.71/22.24 % (1877877)Instruction limit reached!
% 67.71/22.24 % (1877877)------------------------------
% 67.71/22.24 % (1877877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.71/22.24 % (1877877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.71/22.24 % (1877877)CaDiCaL version: 2.1.3
% 67.71/22.24 % (1877877)Termination reason: Instruction limit
% 67.71/22.24 % (1877877)Termination phase: Saturation
% 67.71/22.24 % (1877877)Time elapsed: 10.371 s
% 67.71/22.24 % (1877877)Peak memory usage: 263 MB
% 67.71/22.24 % (1877877)Instructions burned: 12111 (million)
% 67.71/22.24 % (1878424)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1349795843:cts=off:i=3034:av=off:er=known:fsd=on_2801 on theBenchmark for (2801ds/3034Mi)
% 67.71/22.24 % (1878417)First to succeed.
% 67.71/22.24 % (1878417)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1877596"
% 67.71/22.24 % (1878417)Refutation found. Thanks to Tanya!
% 67.71/22.24 % SZS status Theorem for theBenchmark
% 67.71/22.24 % SZS output start Proof for theBenchmark
% See solution above
% 148.71/22.48 % (1878417)------------------------------
% 148.71/22.48 % (1878417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.71/22.48 % (1878417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.71/22.48 % (1878417)CaDiCaL version: 2.1.3
% 148.71/22.48 % (1878417)Termination reason: Refutation
% 148.71/22.48 % (1878417)Time elapsed: 3.273 s
% 148.71/22.48 % (1878417)Peak memory usage: 218 MB
% 148.71/22.48 % (1878417)Instructions burned: 3103 (million)
% 148.71/22.48 % (1878417)------------------------------
% 148.71/22.48 % (1878417)------------------------------
% 148.71/22.48 % (1877596)Success in time 21.588 s
% 148.71/22.48 % Vampire exiting
%------------------------------------------------------------------------------