%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n009.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 2.93s 1.31s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 166 ( 37 unt; 9 def)
% Number of atoms : 666 ( 30 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 834 ( 334 ~; 330 |; 116 &)
% ( 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 : 176 ( 0 sgn 162 !; 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_6(sK5,sK1,sK6)
& u1_struct_0(sK5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& u1_struct_0(sK6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& m1_group_6(sK3,sK0,sK4)
& m1_group_2(sK6,sK1)
& m1_group_2(sK5,sK1)
& m1_group_2(sK4,sK0)
& m1_group_2(sK3,sK0)
& 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(f138,plain,
v1_funct_2(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,sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f142,plain,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f143,plain,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f144,plain,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f108]) ).
fof(f145,plain,
u1_struct_0(sK6) = k2_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) = k2_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,sK1,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_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_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(k9_relat_1(X2,X0),k9_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(f272,definition,
( spl22_3
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f273,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f285,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_3 ),
inference(resolution,[],[f274,f203]) ).
fof(f286,plain,
( $false
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f285,f137]) ).
fof(f287,plain,
spl22_3,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f288,plain,
( ~ m1_group_2(sK5,sK6)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK6,sK1) ),
inference(resolution,[],[f202,f147]) ).
fof(f289,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f288,f136]) ).
fof(f290,plain,
( ~ m1_group_2(sK5,sK6)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f289,f135]) ).
fof(f291,plain,
( ~ m1_group_2(sK5,sK6)
| ~ l1_group_1(sK1)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f290,f134]) ).
fof(f292,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f291,f133]) ).
fof(f293,plain,
~ m1_group_2(sK5,sK6),
inference(forward_subsumption_resolution,[],[f292,f143]) ).
fof(f316,plain,
! [X0] :
( ~ v1_funct_1(sK2)
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(resolution,[],[f200,f138]) ).
fof(f321,plain,
! [X0] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f316,f139]) ).
fof(f323,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f321,f273]) ).
fof(f325,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(f326,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,[],[f325,f165]) ).
fof(f327,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,[],[f326,f164]) ).
fof(f339,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,f293]) ).
fof(f341,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(f342,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,[],[f341]) ).
fof(f344,definition,
( spl22_12
<=> r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f346,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| spl22_12 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f347,plain,
( spl22_11
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f339,f344,f341]) ).
fof(f357,plain,
( u1_struct_0(sK6) = k9_relat_1(sK2,u1_struct_0(sK4))
| ~ spl22_3 ),
inference(superposition,[],[f323,f145]) ).
fof(f358,plain,
( u1_struct_0(sK5) = k9_relat_1(sK2,u1_struct_0(sK3))
| ~ spl22_3 ),
inference(superposition,[],[f323,f146]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k9_relat_1(X2,X0),k9_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(f424,plain,
( ! [X2,X0,X1] :
( r1_tarski(k9_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_3 ),
inference(superposition,[],[f370,f357]) ).
fof(f427,definition,
( spl22_15
<=> ! [X2,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f428,plain,
( ! [X2,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f434,definition,
( spl22_17
<=> ! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK6))
| ~ r1_tarski(X0,u1_struct_0(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl22_17])],[avatar_definition]) ).
fof(f435,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK6))
| ~ r1_tarski(X0,u1_struct_0(sK4)) )
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( spl22_15
| spl22_17
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f424,f272,f434,f427]) ).
fof(f445,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| ~ spl22_15 ),
inference(resolution,[],[f428,f168]) ).
fof(f452,plain,
( $false
| ~ spl22_15 ),
inference(resolution,[],[f445,f137]) ).
fof(f454,plain,
~ spl22_15,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f486,plain,
( r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_3
| ~ spl22_17 ),
inference(superposition,[],[f435,f358]) ).
fof(f487,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| ~ spl22_3
| spl22_12
| ~ spl22_17 ),
inference(forward_subsumption_resolution,[],[f486,f346]) ).
fof(f492,plain,
( ~ m1_group_2(sK3,sK4)
| v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_17 ),
inference(resolution,[],[f487,f327]) ).
fof(f495,definition,
( spl22_26
<=> l1_group_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f496,plain,
( l1_group_1(sK4)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f497,plain,
( ~ l1_group_1(sK4)
| spl22_26 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f499,definition,
( spl22_27
<=> v3_group_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f500,plain,
( v3_group_1(sK4)
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ v3_group_1(sK4)
| spl22_27 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f503,definition,
( spl22_28
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl22_28])],[avatar_definition]) ).
fof(f505,plain,
( v3_struct_0(sK4)
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f507,definition,
( spl22_29
<=> m1_group_2(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f508,plain,
( m1_group_2(sK3,sK4)
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( ~ m1_group_2(sK3,sK4)
| spl22_29 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f513,plain,
( ! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(sK4,X0)
| ~ l1_group_1(X0) )
| spl22_26 ),
inference(resolution,[],[f497,f164]) ).
fof(f590,plain,
( v3_struct_0(sK0)
| ~ m1_group_2(sK4,sK0)
| ~ l1_group_1(sK0)
| spl22_26 ),
inference(resolution,[],[f513,f131]) ).
fof(f595,plain,
( ~ m1_group_2(sK4,sK0)
| ~ l1_group_1(sK0)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f590,f132]) ).
fof(f598,plain,
( ~ l1_group_1(sK0)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f595,f141]) ).
fof(f599,plain,
( $false
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f598,f129]) ).
fof(f600,plain,
spl22_26,
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f606,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| spl22_27 ),
inference(resolution,[],[f501,f165]) ).
fof(f638,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl22_27 ),
inference(resolution,[],[f606,f141]) ).
fof(f640,plain,
( ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f638,f132]) ).
fof(f642,plain,
( ~ l1_group_1(sK0)
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f640,f131]) ).
fof(f644,plain,
( $false
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f642,f129]) ).
fof(f645,plain,
spl22_27,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f648,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,[],[f509,f201]) ).
fof(f1013,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK4,sK0)
| spl22_29 ),
inference(resolution,[],[f648,f144]) ).
fof(f1016,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK4,sK0)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1013,f132]) ).
fof(f1017,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK4,sK0)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1016,f131]) ).
fof(f1018,plain,
( ~ l1_group_1(sK0)
| ~ m1_group_2(sK4,sK0)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1017,f130]) ).
fof(f1019,plain,
( ~ m1_group_2(sK4,sK0)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1018,f129]) ).
fof(f1020,plain,
( $false
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1019,f141]) ).
fof(f1021,plain,
spl22_29,
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1030,plain,
( ~ l1_group_1(sK1)
| ~ m1_group_2(sK6,sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(resolution,[],[f342,f134]) ).
fof(f1031,plain,
( ~ m1_group_2(sK6,sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f1030,f133]) ).
fof(f1033,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f1031,f143]) ).
fof(f1035,plain,
( v3_struct_0(sK1)
| ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f1033,f135]) ).
fof(f1037,plain,
( ~ m1_group_2(sK5,sK1)
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f1035,f136]) ).
fof(f1047,plain,
( $false
| ~ spl22_11 ),
inference(forward_subsumption_resolution,[],[f1037,f142]) ).
fof(f1048,plain,
~ spl22_11,
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1050,plain,
( v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f492,f508]) ).
fof(f1052,plain,
( v3_struct_0(sK4)
| ~ l1_group_1(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_27
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f1050,f500]) ).
fof(f1053,plain,
( v3_struct_0(sK4)
| ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f1052,f496]) ).
fof(f1054,plain,
( spl22_28
| ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f1053,f507,f499,f495,f434,f344,f272,f503]) ).
fof(f1055,plain,
( ! [X0] :
( ~ m1_group_2(sK4,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl22_28 ),
inference(resolution,[],[f505,f166]) ).
fof(f1091,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl22_28 ),
inference(resolution,[],[f1055,f141]) ).
fof(f1093,plain,
( ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1091,f132]) ).
fof(f1095,plain,
( ~ l1_group_1(sK0)
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1093,f131]) ).
fof(f1097,plain,
( $false
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1095,f129]) ).
fof(f1098,plain,
~ spl22_28,
inference(avatar_contradiction_clause,[],[f1097]) ).
cnf(s6,plain,
spl22_3,
inference(sat_conversion,[],[f287]) ).
cnf(s9,plain,
( spl22_11
| ~ spl22_12 ),
inference(sat_conversion,[],[f347]) ).
cnf(s12,plain,
( ~ spl22_3
| spl22_15
| spl22_17 ),
inference(sat_conversion,[],[f436]) ).
cnf(s15,plain,
~ spl22_15,
inference(sat_conversion,[],[f454]) ).
cnf(s23,plain,
spl22_26,
inference(sat_conversion,[],[f600]) ).
cnf(s26,plain,
spl22_27,
inference(sat_conversion,[],[f645]) ).
cnf(s42,plain,
spl22_29,
inference(sat_conversion,[],[f1021]) ).
cnf(s46,plain,
~ spl22_11,
inference(sat_conversion,[],[f1048]) ).
cnf(s49,plain,
( ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_26
| ~ spl22_27
| spl22_28
| ~ spl22_29 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s50,plain,
~ spl22_28,
inference(sat_conversion,[],[f1098]) ).
cnf(s51,plain,
( ~ spl22_3
| spl22_12
| ~ spl22_17
| ~ spl22_26
| ~ spl22_27
| ~ spl22_29 ),
inference(rat,[],[s49,s50]) ).
cnf(s57,plain,
( ~ spl22_3
| spl22_17 ),
inference(rat,[],[s12,s15]) ).
cnf(s60,plain,
~ spl22_12,
inference(rat,[],[s9,s46]) ).
cnf(s62,plain,
~ spl22_17,
inference(rat,[],[s51,s42,s26,s23,s60,s6]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s57,s62,s6]) ).
fof(f1100,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP637+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:19:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.93/1.31 % (1816521)Detected formulas, will run a generic FOF schedule.
% 2.93/1.31 % (1816532)dis-21_1_sil=8000:lcm=predicate:random_seed=2508230429: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)
% 2.93/1.31 % (1816530)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4285007499:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.93/1.31 % (1816529)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1487562393:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.93/1.31 % (1816528)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=1821741256:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.93/1.31 % (1816526)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=2459206957:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.93/1.31 % (1816527)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=1653079015:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.93/1.31 % (1816531)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2641718603:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.93/1.31 % (1816529)Refutation not found, incomplete strategy
% 2.93/1.31 % (1816529)------------------------------
% 2.93/1.31 % (1816529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.31 % (1816529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.31 % (1816529)CaDiCaL version: 2.1.3
% 2.93/1.31 % (1816529)Termination reason: Refutation not found, incomplete strategy
% 2.93/1.31 % (1816529)Time elapsed: 0.003 s
% 2.93/1.31 % (1816529)Peak memory usage: 88 MB
% 2.93/1.31 % (1816529)Instructions burned: 2 (million)
% 2.93/1.31 % (1816532)Instruction limit reached!
% 2.93/1.31 % (1816532)------------------------------
% 2.93/1.31 % (1816532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.31 % (1816532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.31 % (1816532)CaDiCaL version: 2.1.3
% 2.93/1.31 % (1816532)Termination reason: Instruction limit
% 2.93/1.31 % (1816532)Termination phase: Saturation
% 2.93/1.31 % (1816532)Time elapsed: 0.040 s
% 2.93/1.31 % (1816532)Peak memory usage: 91 MB
% 2.93/1.31 % (1816532)Instructions burned: 132 (million)
% 2.93/1.31 % (1816531)First to succeed.
% 2.93/1.31 % (1816531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1816521"
% 2.93/1.31 % (1816530)Instruction limit reached!
% 2.93/1.31 % (1816530)------------------------------
% 2.93/1.31 % (1816530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.31 % (1816530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.31 % (1816530)CaDiCaL version: 2.1.3
% 2.93/1.31 % (1816530)Termination reason: Instruction limit
% 2.93/1.31 % (1816530)Termination phase: Saturation
% 2.93/1.31 % (1816530)Time elapsed: 0.059 s
% 2.93/1.31 % (1816530)Peak memory usage: 88 MB
% 2.93/1.31 % (1816530)Instructions burned: 121 (million)
% 2.93/1.31 % (1816540)lrs+10_1_sil=8000:sp=occurrence:random_seed=663950990:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.93/1.31 % (1816540)Instruction limit reached!
% 2.93/1.31 % (1816540)------------------------------
% 2.93/1.31 % (1816540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.31 % (1816540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.31 % (1816540)CaDiCaL version: 2.1.3
% 2.93/1.31 % (1816540)Termination reason: Instruction limit
% 2.93/1.31 % (1816540)Termination phase: Saturation
% 2.93/1.31 % (1816540)Time elapsed: 0.093 s
% 2.93/1.31 % (1816540)Peak memory usage: 92 MB
% 2.93/1.31 % (1816540)Instructions burned: 288 (million)
% 2.93/1.31 % (1816541)lrs+10_1_sil=32000:urr=on:br=off:random_seed=286745820:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.93/1.31 % (1816529)------------------------------
% 2.93/1.31 % (1816529)------------------------------
% 2.93/1.31 % (1816531)Refutation found. Thanks to Tanya!
% 2.93/1.31 % SZS status Theorem for theBenchmark
% 2.93/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.41 % (1816531)------------------------------
% 3.87/1.41 % (1816531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.41 % (1816531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.41 % (1816531)CaDiCaL version: 2.1.3
% 3.87/1.41 % (1816531)Termination reason: Refutation
% 3.87/1.41 % (1816531)Time elapsed: 0.033 s
% 3.87/1.41 % (1816531)Peak memory usage: 90 MB
% 3.87/1.41 % (1816531)Instructions burned: 42 (million)
% 3.87/1.41 % (1816531)------------------------------
% 3.87/1.41 % (1816531)------------------------------
% 3.87/1.41 % (1816521)Success in time 0.469 s
% 3.87/1.41 % Vampire exiting
%------------------------------------------------------------------------------