%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP637+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 10:18:20 AM UTC 2026
% Result : Theorem 0.53s 0.54s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 149 ( 45 unt; 3 def)
% Number of atoms : 555 ( 25 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 656 ( 250 ~; 266 |; 92 &)
% ( 10 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 205 ( 0 sgn 191 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X0,X4) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X0,X4) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f21,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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f44,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f45,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(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f53,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_group_2) ).
fof(f58,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X0,X4) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X0,X4)
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X0,X4)
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f59]) ).
fof(f64,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f69]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f74]) ).
fof(f78,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,[],[f21]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f96,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f95]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f109,plain,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f60]) ).
fof(f110,plain,
u1_struct_0(sK6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f60]) ).
fof(f111,plain,
u1_struct_0(sK5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f60]) ).
fof(f112,plain,
~ m1_group_6(sK5,sK1,sK6),
inference(cnf_transformation,[],[f60]) ).
fof(f113,plain,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f114,plain,
m1_group_2(sK4,sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f116,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f60]) ).
fof(f117,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f60]) ).
fof(f118,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f60]) ).
fof(f119,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f120,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f121,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f122,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f123,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f124,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f125,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f126,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f134,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f138,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f139,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| v3_group_1(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f140,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X1)
| m1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f178,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| m1_group_2(X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f191,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f192,plain,
~ v4_group_1(sK0),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f193,plain,
~ l1_group_1(sK0),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f194,plain,
v3_struct_0(sK1),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f195,plain,
~ v4_group_1(sK1),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f196,plain,
~ l1_group_1(sK1),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f197,plain,
~ v1_funct_1(sK2),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f198,plain,
~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f199,plain,
~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f200,plain,
m1_group_6(sK5,sK1,sK6),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f201,plain,
~ m1_group_6(sK3,sK0,sK4),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f203,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f208,plain,
! [X0,X1] :
( l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f212,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| l1_group_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X1) ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f213,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| l1_group_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| v3_group_1(X1) ),
inference(consistent_polarity_flipping,[],[f139]) ).
fof(f214,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| l1_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| l1_group_1(X0)
| v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X0)
| m1_group_2(X2,X1)
| m1_group_6(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X0,X1)
| l1_group_1(X0)
| v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f244,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| v4_group_1(X0)
| l1_group_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| m1_group_2(X1,X2) ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f282,plain,
m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f244,f199]) ).
fof(f288,plain,
! [X2,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f216,f203]) ).
fof(f289,plain,
v1_relat_1(sK2),
inference(resolution,[],[f288,f199]) ).
fof(f294,plain,
! [X0] :
( l1_group_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(X0) ),
inference(resolution,[],[f212,f125]) ).
fof(f295,plain,
! [X0] :
( ~ v3_struct_0(sK0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f294,f193]) ).
fof(f297,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f295,f191]) ).
fof(f300,plain,
! [X0] :
( l1_group_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_group_2(X0,sK0)
| v3_group_1(X0) ),
inference(resolution,[],[f213,f125]) ).
fof(f301,plain,
! [X0] :
( ~ v3_struct_0(sK0)
| ~ m1_group_2(X0,sK0)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f300,f193]) ).
fof(f303,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f301,f191]) ).
fof(f307,plain,
v3_struct_0(sK4),
inference(resolution,[],[f297,f114]) ).
fof(f367,plain,
! [X0,X1] :
( l1_group_1(sK0)
| v4_group_1(sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(sK0)
| m1_group_2(X1,X0)
| m1_group_6(X1,sK0,X0) ),
inference(resolution,[],[f242,f125]) ).
fof(f368,plain,
! [X0,X1] :
( v4_group_1(sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(sK0)
| m1_group_2(X1,X0)
| m1_group_6(X1,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f367,f193]) ).
fof(f370,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(sK0)
| m1_group_2(X1,X0)
| m1_group_6(X1,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f368,f192]) ).
fof(f372,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| m1_group_2(X1,X0)
| m1_group_6(X1,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f370,f191]) ).
fof(f383,plain,
( l1_group_1(sK1)
| v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(resolution,[],[f243,f200]) ).
fof(f384,plain,
( v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f383,f196]) ).
fof(f385,plain,
( ~ v3_group_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f384,f195]) ).
fof(f386,plain,
( ~ v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f385,f121]) ).
fof(f387,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f386,f194]) ).
fof(f388,plain,
~ m1_group_2(sK5,sK6),
inference(forward_subsumption_resolution,[],[f387,f108]) ).
fof(f389,plain,
! [X0] :
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_1(sK2)
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
inference(resolution,[],[f241,f198]) ).
fof(f394,plain,
! [X0] :
( v1_funct_1(sK2)
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f389,f282]) ).
fof(f396,plain,
! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0),
inference(forward_subsumption_resolution,[],[f394,f197]) ).
fof(f397,plain,
! [X0,X1] :
( l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f208,f214]) ).
fof(f398,plain,
! [X0,X1] :
( l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| ~ v3_struct_0(X1)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f397,f213]) ).
fof(f399,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ v3_struct_0(X0)
| l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f398,f212]) ).
fof(f400,plain,
! [X0,X1] :
( v4_group_1(sK1)
| l1_group_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_group_2(X0,X1) ),
inference(resolution,[],[f254,f121]) ).
fof(f403,plain,
! [X0,X1] :
( l1_group_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_group_2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f400,f195]) ).
fof(f405,plain,
! [X0,X1] :
( ~ v3_struct_0(sK1)
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_group_2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f403,f196]) ).
fof(f407,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK1)
| ~ m1_group_2(X0,sK1)
| m1_group_2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f405,f194]) ).
fof(f417,plain,
v3_group_1(sK4),
inference(resolution,[],[f303,f114]) ).
fof(f445,definition,
( spl22_5
<=> l1_group_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f447,plain,
( l1_group_1(sK4)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f623,plain,
! [X0] :
( m1_group_6(X0,sK0,sK4)
| m1_group_2(X0,sK4) ),
inference(resolution,[],[f372,f114]) ).
fof(f629,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| ~ v3_struct_0(X0)
| ~ v3_group_1(X0)
| l1_group_1(X0) )
| ~ spl22_5 ),
inference(resolution,[],[f447,f214]) ).
fof(f640,plain,
u1_struct_0(sK6) = k9_relat_1(sK2,u1_struct_0(sK4)),
inference(superposition,[],[f396,f110]) ).
fof(f641,plain,
u1_struct_0(sK5) = k9_relat_1(sK2,u1_struct_0(sK3)),
inference(superposition,[],[f396,f111]) ).
fof(f877,plain,
m1_group_2(sK3,sK4),
inference(resolution,[],[f623,f201]) ).
fof(f897,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| r1_tarski(u1_struct_0(sK3),X0)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f247,f641]) ).
fof(f898,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK5),k9_relat_1(sK2,X0))
| r1_tarski(u1_struct_0(sK3),X0) ),
inference(forward_subsumption_resolution,[],[f897,f289]) ).
fof(f1843,definition,
( spl22_171
<=> r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl22_171])],[avatar_definition]) ).
fof(f1845,plain,
( r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_171 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1847,definition,
( spl22_172
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(definition,[new_symbols(definition,[spl22_172])],[avatar_definition]) ).
fof(f1849,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| spl22_172 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f1851,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(superposition,[],[f898,f640]) ).
fof(f1853,plain,
( spl22_171
| ~ spl22_172 ),
inference(avatar_split_clause,[],[f1851,f1847,f1843]) ).
fof(f2296,plain,
( ~ m1_group_2(sK6,sK1)
| ~ m1_group_2(sK5,sK1)
| m1_group_2(sK5,sK6)
| spl22_172 ),
inference(resolution,[],[f1849,f407]) ).
fof(f2299,plain,
( ~ m1_group_2(sK5,sK1)
| m1_group_2(sK5,sK6)
| spl22_172 ),
inference(forward_subsumption_resolution,[],[f2296,f108]) ).
fof(f2301,plain,
( m1_group_2(sK5,sK6)
| spl22_172 ),
inference(forward_subsumption_resolution,[],[f2299,f113]) ).
fof(f2302,plain,
( $false
| spl22_172 ),
inference(forward_subsumption_resolution,[],[f2301,f388]) ).
fof(f2303,plain,
spl22_172,
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2314,plain,
( ~ v3_group_1(sK4)
| ~ v3_struct_0(sK4)
| l1_group_1(sK4)
| ~ m1_group_2(sK3,sK4)
| ~ spl22_171 ),
inference(resolution,[],[f1845,f399]) ).
fof(f7602,plain,
( ~ v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl22_5 ),
inference(resolution,[],[f629,f114]) ).
fof(f7604,plain,
( ~ v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f7602,f191]) ).
fof(f7605,plain,
( l1_group_1(sK0)
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f7604,f125]) ).
fof(f7606,plain,
( $false
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f7605,f193]) ).
fof(f7607,plain,
~ spl22_5,
inference(avatar_contradiction_clause,[],[f7606]) ).
fof(f7610,plain,
( ~ v3_struct_0(sK4)
| l1_group_1(sK4)
| ~ m1_group_2(sK3,sK4)
| ~ spl22_171 ),
inference(forward_subsumption_resolution,[],[f2314,f417]) ).
fof(f7630,plain,
( l1_group_1(sK4)
| ~ m1_group_2(sK3,sK4)
| ~ spl22_171 ),
inference(forward_subsumption_resolution,[],[f7610,f307]) ).
fof(f7636,plain,
( l1_group_1(sK4)
| ~ spl22_171 ),
inference(forward_subsumption_resolution,[],[f7630,f877]) ).
fof(f7637,plain,
( spl22_5
| ~ spl22_171 ),
inference(avatar_split_clause,[],[f7636,f1843,f445]) ).
cnf(s121,plain,
( spl22_171
| ~ spl22_172 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s165,plain,
spl22_172,
inference(sat_conversion,[],[f2303]) ).
cnf(s1002,plain,
~ spl22_5,
inference(sat_conversion,[],[f7607]) ).
cnf(s1007,plain,
( spl22_5
| ~ spl22_171 ),
inference(sat_conversion,[],[f7637]) ).
cnf(s1008,plain,
~ spl22_171,
inference(rat,[],[s1007,s1002]) ).
cnf(s1070,plain,
$false,
inference(rat,[],[s121,s165,s1008]) ).
fof(f7638,plain,
$false,
inference(avatar_sat_refutation,[],[s1070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP637+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:20:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.54 % (3173932)Will run a generic schedule for satisfiability detection.
% 0.53/0.54 % (3173938)% WARNING: option uhcvi not known.
% 0.53/0.54 % (3173937)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1428946105_2999 on theBenchmark for (2999ds/0Mi)
% 0.53/0.54 % (3173943)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1422705265:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.53/0.54 % (3173939)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=468361494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.53/0.54 % (3173940)dis+10_1_sil=32000:sp=arity:random_seed=2033534768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.53/0.54 % (3173941)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1843003259:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.53/0.54 % (3173942)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1717465858:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.53/0.54 % (3173938)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1289367872:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.53/0.54 % TRYING [1]
% 0.53/0.54 % TRYING [2]
% 0.53/0.54 % TRYING [3]
% 0.53/0.54 % TRYING [4]
% 0.53/0.54 % TRYING [5]
% 0.53/0.54 % (3173940)Instruction limit reached!
% 0.53/0.54 % (3173940)------------------------------
% 0.53/0.54 % (3173940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.54 % (3173940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.54 % (3173940)CaDiCaL version: 2.1.3
% 0.53/0.54 % (3173940)Termination reason: Instruction limit
% 0.53/0.54 % (3173940)Termination phase: Saturation
% 0.53/0.54 % (3173940)Time elapsed: 0.069 s
% 0.53/0.54 % (3173940)Peak memory usage: 13 MB
% 0.53/0.54 % (3173940)Instructions burned: 104 (million)
% 0.53/0.54 % (3173941)Instruction limit reached!
% 0.53/0.54 % (3173941)------------------------------
% 0.53/0.54 % (3173941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.54 % (3173941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.54 % (3173941)CaDiCaL version: 2.1.3
% 0.53/0.54 % (3173941)Termination reason: Instruction limit
% 0.53/0.54 % (3173941)Termination phase: Saturation
% 0.53/0.54 % (3173941)Time elapsed: 0.071 s
% 0.53/0.54 % (3173941)Peak memory usage: 12 MB
% 0.53/0.54 % (3173941)Instructions burned: 118 (million)
% 0.53/0.54 % TRYING [6]
% 0.53/0.54 % (3173942)Instruction limit reached!
% 0.53/0.54 % (3173942)------------------------------
% 0.53/0.54 % (3173942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.54 % (3173942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.54 % (3173942)CaDiCaL version: 2.1.3
% 0.53/0.54 % (3173942)Termination reason: Instruction limit
% 0.53/0.54 % (3173942)Termination phase: Saturation
% 0.53/0.54 % (3173942)Time elapsed: 0.084 s
% 0.53/0.54 % (3173942)Peak memory usage: 14 MB
% 0.53/0.54 % (3173942)Instructions burned: 131 (million)
% 0.53/0.54 % (3173951)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4173802964:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.53/0.54 % (3173952)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3012082760:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.53/0.54 % TRYING [1]
% 0.53/0.54 % TRYING [2]
% 0.53/0.54 % TRYING [3]
% 0.53/0.54 % TRYING [4]
% 0.53/0.54 % (3173953)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=941766252:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.53/0.54 % (3173943)Instruction limit reached!
% 0.53/0.54 % (3173943)------------------------------
% 0.53/0.54 % (3173943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.54 % (3173943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.54 % (3173943)CaDiCaL version: 2.1.3
% 0.53/0.54 % (3173943)Termination reason: Instruction limit
% 0.53/0.54 % (3173943)Termination phase: Saturation
% 0.53/0.54 % (3173943)Time elapsed: 0.105 s
% 0.53/0.54 % (3173943)Peak memory usage: 14 MB
% 0.53/0.54 % (3173943)Instructions burned: 160 (million)
% 0.53/0.54 % (3173938) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3173932-3173938"...
% 0.53/0.54 % (3173938)...printing done.
% 0.53/0.54 % (3173938)Refutation found. Thanks to Tanya!
% 0.53/0.54 % SZS status Theorem for theBenchmark
% 0.53/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.54 % (3173938)------------------------------
% 0.53/0.54 % (3173938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.54 % (3173938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.54 % (3173938)CaDiCaL version: 2.1.3
% 0.53/0.54 % (3173938)Termination reason: Refutation
% 0.53/0.54 % (3173938)Time elapsed: 0.111 s
% 0.53/0.54 % (3173938)Peak memory usage: 16 MB
% 0.53/0.54 % (3173938)Instructions burned: 309 (million)
% 0.53/0.54 % (3173932)Success in time 0.145 s
% 0.53/0.54 % Vampire exiting
%------------------------------------------------------------------------------