%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP639+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 10:15:12 AM UTC 2026
% Result : Theorem 17.76s 4.33s
% Output : Refutation 20.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 25 unt; 0 def)
% Number of atoms : 368 ( 26 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 463 ( 177 ~; 171 |; 90 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 135 ( 124 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f865,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/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f1333,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1392,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f2005,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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f6788,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f9504,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
=> ( r1_tarski(X1,u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_4) ).
fof(f9582,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f13975,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))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(f13976,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))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13975]) ).
fof(f14038,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& 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,[],[f13976]) ).
fof(f14039,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& 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,[],[f14038]) ).
fof(f14193,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f9582]) ).
fof(f14194,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f14193]) ).
fof(f14201,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9504]) ).
fof(f14202,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14201]) ).
fof(f14276,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,[],[f2005]) ).
fof(f14277,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,[],[f14276]) ).
fof(f14425,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1392]) ).
fof(f14426,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f15021,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,[],[f865]) ).
fof(f15022,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,[],[f15021]) ).
fof(f15401,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f16357,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f18116,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK21,sK22),k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK21,u1_struct_0(k5_group_4(sK19,sK22))))
& m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK19)))
& v1_funct_1(sK21)
& v1_funct_2(sK21,u1_struct_0(sK19),u1_struct_0(sK20))
& m2_relset_1(sK21,u1_struct_0(sK19),u1_struct_0(sK20))
& ~ v3_struct_0(sK20)
& v3_group_1(sK20)
& v4_group_1(sK20)
& l1_group_1(sK20)
& ~ v3_struct_0(sK19)
& v3_group_1(sK19)
& v4_group_1(sK19)
& l1_group_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X2,sK21),skolemize(X3,sK22)],[f14039]) ).
fof(f18141,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f18171,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f14202]) ).
fof(f18172,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f18171]) ).
fof(f18173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f18172]) ).
fof(f18174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ( ~ m1_group_2(X2,sK55(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK55(X0,X1,X2)))
& v1_group_1(sK55(X0,X1,X2))
& m1_group_2(sK55(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X3,sK55(X0,X1,X2))],[f18173]) ).
fof(f19397,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f18116]) ).
fof(f19398,plain,
v4_group_1(sK19),
inference(cnf_transformation,[],[f18116]) ).
fof(f19399,plain,
v3_group_1(sK19),
inference(cnf_transformation,[],[f18116]) ).
fof(f19400,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f18116]) ).
fof(f19401,plain,
l1_group_1(sK20),
inference(cnf_transformation,[],[f18116]) ).
fof(f19405,plain,
m2_relset_1(sK21,u1_struct_0(sK19),u1_struct_0(sK20)),
inference(cnf_transformation,[],[f18116]) ).
fof(f19406,plain,
v1_funct_2(sK21,u1_struct_0(sK19),u1_struct_0(sK20)),
inference(cnf_transformation,[],[f18116]) ).
fof(f19407,plain,
v1_funct_1(sK21),
inference(cnf_transformation,[],[f18116]) ).
fof(f19408,plain,
m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK19))),
inference(cnf_transformation,[],[f18116]) ).
fof(f19409,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK21,sK22),k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK21,u1_struct_0(k5_group_4(sK19,sK22)))),
inference(cnf_transformation,[],[f18116]) ).
fof(f19471,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f18141]) ).
fof(f19611,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0) ),
inference(cnf_transformation,[],[f14194]) ).
fof(f19612,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_group_1(k5_group_4(X0,X1)) ),
inference(cnf_transformation,[],[f14194]) ).
fof(f19617,plain,
! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(X2))
| k5_group_4(X0,X1) != X2
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f18174]) ).
fof(f19720,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| k9_relat_1(X2,X3) = k2_funct_2(X0,X1,X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f14277]) ).
fof(f19890,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,[],[f14425]) ).
fof(f19891,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f14426]) ).
fof(f20707,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(cnf_transformation,[],[f15022]) ).
fof(f21137,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f15401]) ).
fof(f22516,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f16357]) ).
fof(f26132,plain,
! [X0,X1] :
( ~ v1_group_1(k5_group_4(X0,X1))
| r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19617]) ).
fof(f27588,plain,
( v3_struct_0(sK19)
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| v1_group_1(k5_group_4(sK19,sK22)) ),
inference(resolution,[],[f19612,f19408]) ).
fof(f27589,plain,
( ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| v1_group_1(k5_group_4(sK19,sK22)) ),
inference(forward_subsumption_resolution,[],[f27588,f19400]) ).
fof(f27590,plain,
( ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| v1_group_1(k5_group_4(sK19,sK22)) ),
inference(forward_subsumption_resolution,[],[f27589,f19399]) ).
fof(f27591,plain,
( ~ l1_group_1(sK19)
| v1_group_1(k5_group_4(sK19,sK22)) ),
inference(forward_subsumption_resolution,[],[f27590,f19398]) ).
fof(f27592,plain,
v1_group_1(k5_group_4(sK19,sK22)),
inference(forward_subsumption_resolution,[],[f27591,f19397]) ).
fof(f27598,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| ~ m1_group_2(k5_group_4(sK19,sK22),sK19)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK19)))
| v3_struct_0(sK19)
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19) ),
inference(resolution,[],[f27592,f26132]) ).
fof(f27599,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK19)))
| v3_struct_0(sK19)
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19) ),
inference(forward_subsumption_resolution,[],[f27598,f19611]) ).
fof(f27600,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| v3_struct_0(sK19)
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19) ),
inference(forward_subsumption_resolution,[],[f27599,f19408]) ).
fof(f27601,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19) ),
inference(forward_subsumption_resolution,[],[f27600,f19400]) ).
fof(f27602,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19) ),
inference(forward_subsumption_resolution,[],[f27601,f19399]) ).
fof(f27603,plain,
( r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22)))
| ~ l1_group_1(sK19) ),
inference(forward_subsumption_resolution,[],[f27602,f19398]) ).
fof(f27604,plain,
r1_tarski(sK22,u1_struct_0(k5_group_4(sK19,sK22))),
inference(forward_subsumption_resolution,[],[f27603,f19397]) ).
fof(f27610,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK21,X1,X2)
| ~ v1_funct_2(sK21,X1,X2)
| k9_relat_1(sK21,X0) = k2_funct_2(X1,X2,sK21,X0) ),
inference(resolution,[],[f19720,f19407]) ).
fof(f27612,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f19891,f19890]) ).
fof(f27613,plain,
v1_relat_1(sK21),
inference(resolution,[],[f27612,f19405]) ).
fof(f27650,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f22516,f21137]) ).
fof(f27651,plain,
u1_struct_0(sK19) = k2_pre_topc(sK19),
inference(resolution,[],[f27650,f19397]) ).
fof(f27652,plain,
u1_struct_0(sK20) = k2_pre_topc(sK20),
inference(resolution,[],[f27650,f19401]) ).
fof(f27653,plain,
m2_relset_1(sK21,u1_struct_0(sK19),k2_pre_topc(sK20)),
inference(superposition,[],[f19405,f27652]) ).
fof(f27654,plain,
v1_funct_2(sK21,u1_struct_0(sK19),k2_pre_topc(sK20)),
inference(superposition,[],[f19406,f27652]) ).
fof(f27655,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK19),k2_pre_topc(sK20),sK21,sK22),k2_funct_2(u1_struct_0(sK19),k2_pre_topc(sK20),sK21,u1_struct_0(k5_group_4(sK19,sK22)))),
inference(superposition,[],[f19409,f27652]) ).
fof(f27668,plain,
~ r1_tarski(k2_funct_2(k2_pre_topc(sK19),k2_pre_topc(sK20),sK21,sK22),k2_funct_2(k2_pre_topc(sK19),k2_pre_topc(sK20),sK21,u1_struct_0(k5_group_4(sK19,sK22)))),
inference(forward_demodulation,[],[f27655,f27651]) ).
fof(f27669,plain,
v1_funct_2(sK21,k2_pre_topc(sK19),k2_pre_topc(sK20)),
inference(forward_demodulation,[],[f27654,f27651]) ).
fof(f27670,plain,
m2_relset_1(sK21,k2_pre_topc(sK19),k2_pre_topc(sK20)),
inference(forward_demodulation,[],[f27653,f27651]) ).
fof(f27741,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK21,X0,X1)
| k2_funct_2(X0,X1,sK21,X2) = k9_relat_1(sK21,X2)
| ~ m2_relset_1(sK21,X0,X1) ),
inference(resolution,[],[f27610,f19471]) ).
fof(f27862,plain,
! [X0] :
( k9_relat_1(sK21,X0) = k2_funct_2(k2_pre_topc(sK19),k2_pre_topc(sK20),sK21,X0)
| ~ m2_relset_1(sK21,k2_pre_topc(sK19),k2_pre_topc(sK20)) ),
inference(resolution,[],[f27741,f27669]) ).
fof(f27863,plain,
! [X0] : k9_relat_1(sK21,X0) = k2_funct_2(k2_pre_topc(sK19),k2_pre_topc(sK20),sK21,X0),
inference(forward_subsumption_resolution,[],[f27862,f27670]) ).
fof(f27868,plain,
~ r1_tarski(k2_funct_2(k2_pre_topc(sK19),k2_pre_topc(sK20),sK21,sK22),k9_relat_1(sK21,u1_struct_0(k5_group_4(sK19,sK22)))),
inference(superposition,[],[f27668,f27863]) ).
fof(f27869,plain,
~ r1_tarski(k9_relat_1(sK21,sK22),k9_relat_1(sK21,u1_struct_0(k5_group_4(sK19,sK22)))),
inference(forward_demodulation,[],[f27868,f27863]) ).
fof(f27871,plain,
$false,
inference(unit_resulting_resolution,[],[f20707,f27613,f27604,f27869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:22:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 15.30/3.71 % (1012714)Detected formulas, will run a generic FOF schedule.
% 15.30/3.71 % (1012719)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=2759666873:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 15.30/3.71 % (1012722)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=194823746:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 15.30/3.71 % (1012723)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3502773098:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 15.30/3.71 % (1012721)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=3052740566:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 15.30/3.71 % (1012724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=852171428:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 15.30/3.71 % (1012720)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=212126989:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 15.30/3.71 % (1012725)dis-21_1_sil=8000:lcm=predicate:random_seed=894105191:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 15.30/3.71 % (1012724)Instruction limit reached!
% 15.30/3.71 % (1012724)------------------------------
% 15.30/3.71 % (1012724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.71 % (1012724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.71 % (1012724)CaDiCaL version: 2.1.3
% 15.30/3.71 % (1012724)Termination reason: Instruction limit
% 15.30/3.71 % (1012724)Termination phase: Property scanning
% 15.30/3.71 % (1012724)Time elapsed: 0.061 s
% 15.30/3.71 % (1012724)Peak memory usage: 103 MB
% 15.30/3.71 % (1012724)Instructions burned: 141 (million)
% 15.30/3.71 % (1012722)Instruction limit reached!
% 15.30/3.71 % (1012722)------------------------------
% 15.30/3.71 % (1012722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.71 % (1012722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.71 % (1012722)CaDiCaL version: 2.1.3
% 15.30/3.71 % (1012722)Termination reason: Instruction limit
% 15.30/3.71 % (1012722)Termination phase: Saturation
% 15.30/3.71 % (1012722)Time elapsed: 0.086 s
% 15.30/3.71 % (1012722)Peak memory usage: 107 MB
% 15.30/3.71 % (1012722)Instructions burned: 109 (million)
% 15.30/3.71 % (1012725)Instruction limit reached!
% 15.30/3.71 % (1012725)------------------------------
% 15.30/3.71 % (1012725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.71 % (1012725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.71 % (1012725)CaDiCaL version: 2.1.3
% 15.30/3.71 % (1012725)Termination reason: Instruction limit
% 15.30/3.71 % (1012725)Termination phase: Preprocessing 1
% 15.30/3.71 % (1012725)Time elapsed: 0.095 s
% 15.30/3.71 % (1012725)Peak memory usage: 104 MB
% 15.30/3.71 % (1012725)Instructions burned: 129 (million)
% 15.30/3.71 % (1012723)Instruction limit reached!
% 15.30/3.71 % (1012723)------------------------------
% 15.30/3.71 % (1012723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.30/3.71 % (1012723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/3.71 % (1012723)CaDiCaL version: 2.1.3
% 15.30/3.71 % (1012723)Termination reason: Instruction limit
% 15.30/3.71 % (1012723)Termination phase: Property scanning
% 15.30/3.71 % (1012723)Time elapsed: 0.096 s
% 15.30/3.71 % (1012723)Peak memory usage: 106 MB
% 15.30/3.71 % (1012723)Instructions burned: 120 (million)
% 15.30/3.71 % (1012733)lrs+10_1_sil=8000:sp=occurrence:random_seed=3687303453:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 15.30/3.71 % (1012736)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3382648191:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 15.30/3.71 % (1012735)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4117348895:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 15.30/3.71 % (1012734)lrs+10_1_sil=32000:urr=on:br=off:random_seed=925592500:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 15.30/3.71 % (1012734)Instruction limit reached!
% 17.76/4.33 % (1012734)------------------------------
% 17.76/4.33 % (1012734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012734)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012734)Termination reason: Instruction limit
% 17.76/4.33 % (1012734)Termination phase: Property scanning
% 17.76/4.33 % (1012734)Time elapsed: 0.068 s
% 17.76/4.33 % (1012734)Peak memory usage: 102 MB
% 17.76/4.33 % (1012734)Instructions burned: 157 (million)
% 17.76/4.33 % (1012736)Instruction limit reached!
% 17.76/4.33 % (1012736)------------------------------
% 17.76/4.33 % (1012736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012736)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012736)Termination reason: Instruction limit
% 17.76/4.33 % (1012736)Termination phase: SInE selection
% 17.76/4.33 % (1012736)Time elapsed: 0.126 s
% 17.76/4.33 % (1012736)Peak memory usage: 103 MB
% 17.76/4.33 % (1012736)Instructions burned: 249 (million)
% 17.76/4.33 % (1012733)Instruction limit reached!
% 17.76/4.33 % (1012733)------------------------------
% 17.76/4.33 % (1012733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012733)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012733)Termination reason: Instruction limit
% 17.76/4.33 % (1012733)Termination phase: Saturation
% 17.76/4.33 % (1012733)Time elapsed: 0.194 s
% 17.76/4.33 % (1012733)Peak memory usage: 111 MB
% 17.76/4.33 % (1012733)Instructions burned: 285 (million)
% 17.76/4.33 % (1012741)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3307976006:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 17.76/4.33 % (1012735)Instruction limit reached!
% 17.76/4.33 % (1012735)------------------------------
% 17.76/4.33 % (1012735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012735)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012735)Termination reason: Instruction limit
% 17.76/4.33 % (1012735)Termination phase: Saturation
% 17.76/4.33 % (1012735)Time elapsed: 0.234 s
% 17.76/4.33 % (1012735)Peak memory usage: 109 MB
% 17.76/4.33 % (1012735)Instructions burned: 326 (million)
% 17.76/4.33 % (1012742)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=988342991:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 17.76/4.33 % (1012743)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3643417615:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 17.76/4.33 % (1012743)Instruction limit reached!
% 17.76/4.33 % (1012743)------------------------------
% 17.76/4.33 % (1012743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012743)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012743)Termination reason: Instruction limit
% 17.76/4.33 % (1012743)Termination phase: Preprocessing 2
% 17.76/4.33 % (1012743)Time elapsed: 0.099 s
% 17.76/4.33 % (1012743)Peak memory usage: 106 MB
% 17.76/4.33 % (1012743)Instructions burned: 113 (million)
% 17.76/4.33 % (1012745)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1529720901:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 17.76/4.33 % (1012741)Instruction limit reached!
% 17.76/4.33 % (1012741)------------------------------
% 17.76/4.33 % (1012741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012741)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012741)Termination reason: Instruction limit
% 17.76/4.33 % (1012741)Termination phase: Saturation
% 17.76/4.33 % (1012741)Time elapsed: 0.186 s
% 17.76/4.33 % (1012741)Peak memory usage: 111 MB
% 17.76/4.33 % (1012741)Instructions burned: 294 (million)
% 17.76/4.33 % (1012745)Instruction limit reached!
% 17.76/4.33 % (1012745)------------------------------
% 17.76/4.33 % (1012745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012745)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012745)Termination reason: Instruction limit
% 17.76/4.33 % (1012745)Termination phase: Preprocessing 2
% 17.76/4.33 % (1012745)Time elapsed: 0.106 s
% 17.76/4.33 % (1012745)Peak memory usage: 106 MB
% 17.76/4.33 % (1012745)Instructions burned: 128 (million)
% 17.76/4.33 % (1012750)lrs+10_1_sil=8000:sp=occurrence:random_seed=568828626:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 17.76/4.33 % (1012749)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=128021714:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 17.76/4.33 % (1012749)Instruction limit reached!
% 17.76/4.33 % (1012749)------------------------------
% 17.76/4.33 % (1012749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012749)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012749)Termination reason: Instruction limit
% 17.76/4.33 % (1012749)Termination phase: Property scanning
% 17.76/4.33 % (1012749)Time elapsed: 0.049 s
% 17.76/4.33 % (1012749)Peak memory usage: 103 MB
% 17.76/4.33 % (1012749)Instructions burned: 114 (million)
% 17.76/4.33 % (1012751)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3630735317:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 17.76/4.33 % (1012754)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3269720166:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 17.76/4.33 % (1012751)Instruction limit reached!
% 17.76/4.33 % (1012751)------------------------------
% 17.76/4.33 % (1012751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012751)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012751)Termination reason: Instruction limit
% 17.76/4.33 % (1012751)Termination phase: Saturation
% 17.76/4.33 % (1012751)Time elapsed: 0.303 s
% 17.76/4.33 % (1012751)Peak memory usage: 111 MB
% 17.76/4.33 % (1012751)Instructions burned: 438 (million)
% 17.76/4.33 % (1012750)Instruction limit reached!
% 17.76/4.33 % (1012750)------------------------------
% 17.76/4.33 % (1012750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012750)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012750)Termination reason: Instruction limit
% 17.76/4.33 % (1012750)Termination phase: Saturation
% 17.76/4.33 % (1012750)Time elapsed: 0.557 s
% 17.76/4.33 % (1012750)Peak memory usage: 122 MB
% 17.76/4.33 % (1012750)Instructions burned: 907 (million)
% 17.76/4.33 % (1012757)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2467348500:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 17.76/4.33 % (1012757)Instruction limit reached!
% 17.76/4.33 % (1012757)------------------------------
% 17.76/4.33 % (1012757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012757)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012757)Termination reason: Instruction limit
% 17.76/4.33 % (1012757)Termination phase: Property scanning
% 17.76/4.33 % (1012757)Time elapsed: 0.104 s
% 17.76/4.33 % (1012757)Peak memory usage: 107 MB
% 17.76/4.33 % (1012757)Instructions burned: 134 (million)
% 17.76/4.33 % (1012758)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=212208806:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 17.76/4.33 % (1012760)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1898310966:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 17.76/4.33 % (1012758)Instruction limit reached!
% 17.76/4.33 % (1012758)------------------------------
% 17.76/4.33 % (1012758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012758)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012758)Termination reason: Instruction limit
% 17.76/4.33 % (1012758)Termination phase: Property scanning
% 17.76/4.33 % (1012758)Time elapsed: 0.416 s
% 17.76/4.33 % (1012758)Peak memory usage: 126 MB
% 17.76/4.33 % (1012758)Instructions burned: 593 (million)
% 17.76/4.33 % (1012742)Instruction limit reached!
% 17.76/4.33 % (1012742)------------------------------
% 17.76/4.33 % (1012742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012742)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012742)Termination reason: Instruction limit
% 17.76/4.33 % (1012742)Termination phase: Saturation
% 17.76/4.33 % (1012742)Time elapsed: 1.442 s
% 17.76/4.33 % (1012742)Peak memory usage: 226 MB
% 17.76/4.33 % (1012742)Instructions burned: 2350 (million)
% 17.76/4.33 % (1012763)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3922162781:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 17.76/4.33 % (1012764)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3269414198:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 17.76/4.33 % (1012763)Instruction limit reached!
% 17.76/4.33 % (1012763)------------------------------
% 17.76/4.33 % (1012763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012763)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012763)Termination reason: Instruction limit
% 17.76/4.33 % (1012763)Termination phase: Property scanning
% 17.76/4.33 % (1012763)Time elapsed: 0.055 s
% 17.76/4.33 % (1012763)Peak memory usage: 103 MB
% 17.76/4.33 % (1012763)Instructions burned: 125 (million)
% 17.76/4.33 % (1012764)Instruction limit reached!
% 17.76/4.33 % (1012764)------------------------------
% 17.76/4.33 % (1012764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012764)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012764)Termination reason: Instruction limit
% 17.76/4.33 % (1012764)Termination phase: Property scanning
% 17.76/4.33 % (1012764)Time elapsed: 0.058 s
% 17.76/4.33 % (1012764)Peak memory usage: 103 MB
% 17.76/4.33 % (1012764)Instructions burned: 134 (million)
% 17.76/4.33 % (1012720)First to succeed.
% 17.76/4.33 % (1012720)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1012714"
% 17.76/4.33 % (1012754)Also succeeded, but the first one will report.
% 17.76/4.33 % (1012767)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1013508686:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 17.76/4.33 % (1012768)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1457315900:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 17.76/4.33 % (1012767)Instruction limit reached!
% 17.76/4.33 % (1012767)------------------------------
% 17.76/4.33 % (1012767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/4.33 % (1012767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/4.33 % (1012767)CaDiCaL version: 2.1.3
% 17.76/4.33 % (1012767)Termination reason: Instruction limit
% 17.76/4.33 % (1012767)Termination phase: Saturation
% 17.76/4.33 % (1012767)Time elapsed: 0.109 s
% 17.76/4.33 % (1012767)Peak memory usage: 108 MB
% 17.76/4.33 % (1012767)Instructions burned: 141 (million)
% 17.76/4.33 % (1012720)Refutation found. Thanks to Tanya!
% 17.76/4.33 % SZS status Theorem for theBenchmark
% 17.76/4.33 % SZS output start Proof for theBenchmark
% See solution above
% 20.93/4.56 % (1012720)------------------------------
% 20.93/4.56 % (1012720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.93/4.56 % (1012720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/4.56 % (1012720)CaDiCaL version: 2.1.3
% 20.93/4.56 % (1012720)Termination reason: Refutation
% 20.93/4.56 % (1012720)Time elapsed: 2.302 s
% 20.93/4.56 % (1012720)Peak memory usage: 225 MB
% 20.93/4.56 % (1012720)Instructions burned: 3684 (million)
% 20.93/4.56 % (1012720)------------------------------
% 20.93/4.56 % (1012720)------------------------------
% 20.93/4.56 % (1012714)Success in time 3.477 s
% 20.93/4.56 % Vampire exiting
%------------------------------------------------------------------------------