%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP638+1 : 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 : n001.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 10:15:11 AM UTC 2026
% Result : Theorem 3.93s 1.42s
% Output : Refutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 164 ( 36 unt; 9 def)
% Number of atoms : 658 ( 29 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 823 ( 329 ~; 325 |; 115 &)
% ( 16 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 10 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 177 ( 0 sgn 163 !; 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,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_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,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4) )
=> m1_group_6(X5,X0,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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t178_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/sandbox2/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,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4)
& m1_group_2(X6,X0) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& 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,X0,X6)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4)
& m1_group_2(X6,X0) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& 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] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ 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(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f96,plain,
! [X0,X1,X2] :
( r1_tarski(k10_relat_1(X2,X0),k10_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_6(sK5,sK0,sK6)
& u1_struct_0(sK5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& u1_struct_0(sK6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& m1_group_6(sK3,sK1,sK4)
& m1_group_2(sK6,sK0)
& m1_group_2(sK5,sK0)
& m1_group_2(sK4,sK1)
& m1_group_2(sK3,sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1)
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f60]) ).
fof(f109,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)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| 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(nnf_transformation,[],[f70]) ).
fof(f110,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)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| 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,[],[f109]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f127,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,[],[f45]) ).
fof(f129,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f130,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f131,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f132,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f133,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f134,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f135,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f136,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f137,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f108]) ).
fof(f139,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f141,plain,
m1_group_2(sK4,sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f142,plain,
m1_group_2(sK5,sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f143,plain,
m1_group_2(sK6,sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f144,plain,
m1_group_6(sK3,sK1,sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f145,plain,
u1_struct_0(sK6) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f108]) ).
fof(f146,plain,
u1_struct_0(sK5) = k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f108]) ).
fof(f147,plain,
~ m1_group_6(sK5,sK0,sK6),
inference(cnf_transformation,[],[f108]) ).
fof(f151,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| 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(cnf_transformation,[],[f110]) ).
fof(f164,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f165,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f166,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f168,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,[],[f78]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f201,plain,
! [X2,X0,X1] :
( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f202,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f126]) ).
fof(f203,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f213,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f104]) ).
fof(f244,definition,
( spl22_1
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f245,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f257,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_1 ),
inference(resolution,[],[f246,f203]) ).
fof(f258,plain,
( $false
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f257,f137]) ).
fof(f259,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK2,X0,X1)
| k3_funct_2(X0,X1,sK2,X2) = k10_relat_1(sK2,X2) ),
inference(resolution,[],[f200,f139]) ).
fof(f286,plain,
( ! [X0] : k3_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k10_relat_1(sK2,X0)
| ~ spl22_1 ),
inference(resolution,[],[f261,f245]) ).
fof(f287,plain,
( u1_struct_0(sK6) = k10_relat_1(sK2,u1_struct_0(sK4))
| ~ spl22_1 ),
inference(superposition,[],[f286,f145]) ).
fof(f288,plain,
( u1_struct_0(sK5) = k10_relat_1(sK2,u1_struct_0(sK3))
| ~ spl22_1 ),
inference(superposition,[],[f286,f146]) ).
fof(f294,plain,
( ~ m1_group_2(sK5,sK6)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK6,sK0) ),
inference(resolution,[],[f202,f147]) ).
fof(f295,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK6,sK0) ),
inference(forward_subsumption_resolution,[],[f294,f132]) ).
fof(f296,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK6,sK0) ),
inference(forward_subsumption_resolution,[],[f295,f131]) ).
fof(f297,plain,
( ~ m1_group_2(sK5,sK6)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK6,sK0) ),
inference(forward_subsumption_resolution,[],[f296,f130]) ).
fof(f298,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK0) ),
inference(forward_subsumption_resolution,[],[f297,f129]) ).
fof(f299,plain,
~ m1_group_2(sK5,sK6),
inference(forward_subsumption_resolution,[],[f298,f143]) ).
fof(f322,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f160,f166]) ).
fof(f323,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f322,f165]) ).
fof(f324,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f323,f164]) ).
fof(f326,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ m1_group_2(sK6,X0)
| ~ m1_group_2(sK5,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f213,f299]) ).
fof(f328,definition,
( spl22_11
<=> ! [X0] :
( ~ m1_group_2(sK6,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f329,plain,
( ! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(sK6,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(sK5,X0) )
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,definition,
( spl22_12
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f333,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| spl22_12 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,plain,
( spl22_11
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f326,f331,f328]) ).
fof(f362,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4))) ),
inference(resolution,[],[f206,f151]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( r1_tarski(k10_relat_1(sK2,X0),u1_struct_0(sK6))
| ~ r1_tarski(X0,u1_struct_0(sK4))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl22_1 ),
inference(superposition,[],[f362,f287]) ).
fof(f408,definition,
( spl22_13
<=> ! [X2,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f409,plain,
( ! [X2,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f415,definition,
( spl22_15
<=> ! [X0] :
( r1_tarski(k10_relat_1(sK2,X0),u1_struct_0(sK6))
| ~ r1_tarski(X0,u1_struct_0(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f416,plain,
( ! [X0] :
( r1_tarski(k10_relat_1(sK2,X0),u1_struct_0(sK6))
| ~ r1_tarski(X0,u1_struct_0(sK4)) )
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( spl22_13
| spl22_15
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f405,f244,f415,f408]) ).
fof(f426,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| ~ spl22_13 ),
inference(resolution,[],[f409,f168]) ).
fof(f433,plain,
( $false
| ~ spl22_13 ),
inference(resolution,[],[f426,f137]) ).
fof(f435,plain,
~ spl22_13,
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f492,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_1
| ~ spl22_15 ),
inference(superposition,[],[f416,f288]) ).
fof(f493,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_1
| spl22_12
| ~ spl22_15 ),
inference(forward_subsumption_resolution,[],[f492,f333]) ).
fof(f494,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_1
| spl22_12
| ~ spl22_15 ),
inference(resolution,[],[f493,f324]) ).
fof(f497,definition,
( spl22_26
<=> l1_group_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f498,plain,
( l1_group_1(sK4)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ~ l1_group_1(sK4)
| spl22_26 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl22_27
<=> v3_group_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f502,plain,
( v3_group_1(sK4)
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ v3_group_1(sK4)
| spl22_27 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl22_28
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_28])],[avatar_definition]) ).
fof(f507,plain,
( v3_struct_0(sK4)
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl22_29
<=> m1_group_2(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f510,plain,
( m1_group_2(sK3,sK4)
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( ~ m1_group_2(sK3,sK4)
| spl22_29 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f515,plain,
( ! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0) )
| spl22_26 ),
inference(resolution,[],[f499,f164]) ).
fof(f564,plain,
( v3_struct_0(sK1)
| ~ m1_group_2(sK4,sK1)
| ~ l1_group_1(sK1)
| spl22_26 ),
inference(resolution,[],[f515,f135]) ).
fof(f567,plain,
( ~ m1_group_2(sK4,sK1)
| ~ l1_group_1(sK1)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f564,f136]) ).
fof(f570,plain,
( ~ l1_group_1(sK1)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f567,f141]) ).
fof(f572,plain,
( $false
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f570,f133]) ).
fof(f573,plain,
spl22_26,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f592,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| spl22_27 ),
inference(resolution,[],[f503,f165]) ).
fof(f632,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| spl22_27 ),
inference(resolution,[],[f592,f141]) ).
fof(f634,plain,
( ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f632,f136]) ).
fof(f636,plain,
( ~ l1_group_1(sK1)
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f634,f135]) ).
fof(f638,plain,
( $false
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f636,f133]) ).
fof(f639,plain,
spl22_27,
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f664,plain,
( ! [X0] :
( ~ m1_group_6(sK3,X0,sK4)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(sK4,X0) )
| spl22_29 ),
inference(resolution,[],[f511,f201]) ).
fof(f2691,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK4,sK1)
| spl22_29 ),
inference(resolution,[],[f664,f144]) ).
fof(f2694,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK4,sK1)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f2691,f136]) ).
fof(f2695,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK4,sK1)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f2694,f135]) ).
fof(f2696,plain,
( ~ l1_group_1(sK1)
| ~ m1_group_2(sK4,sK1)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f2695,f134]) ).
fof(f2697,plain,
( ~ m1_group_2(sK4,sK1)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f2696,f133]) ).
fof(f2698,plain,
( $false
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f2697,f141]) ).
fof(f2699,plain,
spl22_29,
inference(avatar_contradiction_clause,[],[f2698]) ).
fof(f2707,plain,
( ~ l1_group_1(sK0)
| ~ m1_group_2(sK6,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_11 ),
inference(resolution,[],[f329,f130]) ).
fof(f2710,plain,
( ~ m1_group_2(sK6,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2707,f129]) ).
fof(f2712,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2710,f143]) ).
fof(f2714,plain,
( v3_struct_0(sK0)
| ~ m1_group_2(sK5,sK0)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2712,f131]) ).
fof(f2724,plain,
( ~ m1_group_2(sK5,sK0)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2714,f132]) ).
fof(f2725,plain,
( $false
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f2724,f142]) ).
fof(f2726,plain,
~ spl22_11,
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2728,plain,
( v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f494,f510]) ).
fof(f2729,plain,
( v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_27
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f2728,f502]) ).
fof(f2730,plain,
( v3_struct_0(sK4)
| ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f2729,f498]) ).
fof(f2731,plain,
( spl22_28
| ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f2730,f509,f501,f497,f415,f331,f244,f505]) ).
fof(f2732,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl22_28 ),
inference(resolution,[],[f507,f166]) ).
fof(f2781,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl22_28 ),
inference(resolution,[],[f2732,f141]) ).
fof(f2783,plain,
( ~ v3_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f2781,f136]) ).
fof(f2785,plain,
( ~ l1_group_1(sK1)
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f2783,f135]) ).
fof(f2787,plain,
( $false
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f2785,f133]) ).
fof(f2788,plain,
~ spl22_28,
inference(avatar_contradiction_clause,[],[f2787]) ).
cnf(s3,plain,
spl22_1,
inference(sat_conversion,[],[f259]) ).
cnf(s8,plain,
( spl22_11
| ~ spl22_12 ),
inference(sat_conversion,[],[f334]) ).
cnf(s11,plain,
( ~ spl22_1
| spl22_13
| spl22_15 ),
inference(sat_conversion,[],[f417]) ).
cnf(s14,plain,
~ spl22_13,
inference(sat_conversion,[],[f435]) ).
cnf(s22,plain,
spl22_26,
inference(sat_conversion,[],[f573]) ).
cnf(s26,plain,
spl22_27,
inference(sat_conversion,[],[f639]) ).
cnf(s134,plain,
spl22_29,
inference(sat_conversion,[],[f2699]) ).
cnf(s138,plain,
~ spl22_11,
inference(sat_conversion,[],[f2726]) ).
cnf(s140,plain,
( ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_26
| ~ spl22_27
| spl22_28
| ~ spl22_29 ),
inference(sat_conversion,[],[f2731]) ).
cnf(s141,plain,
~ spl22_28,
inference(sat_conversion,[],[f2788]) ).
cnf(s142,plain,
( ~ spl22_1
| spl22_12
| ~ spl22_15
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(rat,[],[s140,s141]) ).
cnf(s161,plain,
( ~ spl22_1
| spl22_15 ),
inference(rat,[],[s11,s14]) ).
cnf(s176,plain,
~ spl22_12,
inference(rat,[],[s8,s138]) ).
cnf(s178,plain,
~ spl22_15,
inference(rat,[],[s142,s134,s26,s22,s176,s3]) ).
cnf(s186,plain,
$false,
inference(rat,[],[s161,s178,s3]) ).
fof(f2790,plain,
$false,
inference(avatar_sat_refutation,[],[s186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP638+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n001.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 10:26:15 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 3.93/1.42 % (3350089)Detected formulas, will run a generic FOF schedule.
% 3.93/1.42 % (3350100)dis-21_1_sil=8000:lcm=predicate:random_seed=2488328739:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.93/1.42 % (3350100)Instruction limit reached!
% 3.93/1.42 % (3350100)------------------------------
% 3.93/1.42 % (3350100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.42 % (3350100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.42 % (3350100)CaDiCaL version: 2.1.3
% 3.93/1.42 % (3350100)Termination reason: Instruction limit
% 3.93/1.42 % (3350100)Termination phase: Saturation
% 3.93/1.42 % (3350100)Time elapsed: 0.041 s
% 3.93/1.42 % (3350100)Peak memory usage: 91 MB
% 3.93/1.42 % (3350100)Instructions burned: 134 (million)
% 3.93/1.42 % (3350097)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2528593077:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.93/1.42 % (3350095)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=3538711436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.93/1.42 % (3350098)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=749587775:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.93/1.42 % (3350096)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=1970290571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.93/1.42 % (3350099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2294988165:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.93/1.42 % (3350094)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=1739716424:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.93/1.42 % (3350097)Refutation not found, incomplete strategy
% 3.93/1.42 % (3350097)------------------------------
% 3.93/1.42 % (3350097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.42 % (3350097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.42 % (3350097)CaDiCaL version: 2.1.3
% 3.93/1.42 % (3350097)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.42 % (3350097)Time elapsed: 0.003 s
% 3.93/1.42 % (3350097)Peak memory usage: 88 MB
% 3.93/1.42 % (3350097)Instructions burned: 2 (million)
% 3.93/1.42 % (3350098)Instruction limit reached!
% 3.93/1.42 % (3350098)------------------------------
% 3.93/1.42 % (3350098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.42 % (3350098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.42 % (3350098)CaDiCaL version: 2.1.3
% 3.93/1.42 % (3350098)Termination reason: Instruction limit
% 3.93/1.42 % (3350098)Termination phase: Saturation
% 3.93/1.42 % (3350098)Time elapsed: 0.058 s
% 3.93/1.42 % (3350098)Peak memory usage: 87 MB
% 3.93/1.42 % (3350098)Instructions burned: 119 (million)
% 3.93/1.42 % (3350099)First to succeed.
% 3.93/1.42 % (3350099)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3350089"
% 3.93/1.42 % (3350108)lrs+10_1_sil=8000:sp=occurrence:random_seed=3941503409:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.93/1.42 % (3350108)Also succeeded, but the first one will report.
% 3.93/1.42 % (3350109)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2704381479:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.93/1.42 % (3350097)------------------------------
% 3.93/1.42 % (3350097)------------------------------
% 3.93/1.42 % (3350109)Instruction limit reached!
% 3.93/1.42 % (3350109)------------------------------
% 3.93/1.42 % (3350109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.42 % (3350109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.42 % (3350109)CaDiCaL version: 2.1.3
% 3.93/1.42 % (3350109)Termination reason: Instruction limit
% 3.93/1.42 % (3350109)Termination phase: Saturation
% 3.93/1.42 % (3350109)Time elapsed: 0.094 s
% 3.93/1.42 % (3350109)Peak memory usage: 89 MB
% 3.93/1.42 % (3350109)Instructions burned: 158 (million)
% 3.93/1.42 % (3350099)Refutation found. Thanks to Tanya!
% 3.93/1.42 % SZS status Theorem for theBenchmark
% 3.93/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.46/1.62 % (3350099)------------------------------
% 4.46/1.62 % (3350099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.62 % (3350099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.62 % (3350099)CaDiCaL version: 2.1.3
% 4.46/1.62 % (3350099)Termination reason: Refutation
% 4.46/1.62 % (3350099)Time elapsed: 0.102 s
% 4.46/1.62 % (3350099)Peak memory usage: 91 MB
% 4.46/1.62 % (3350099)Instructions burned: 143 (million)
% 4.46/1.62 % (3350099)------------------------------
% 4.46/1.62 % (3350099)------------------------------
% 4.46/1.62 % (3350089)Success in time 0.538 s
% 4.46/1.62 % Vampire exiting
%------------------------------------------------------------------------------