%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP639+4 : 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 : n018.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 19.65s 8.11s
% Output : Refutation 42.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 19 unt; 2 def)
% Number of atoms : 367 ( 20 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 467 ( 179 ~; 173 |; 90 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 126 ( 0 sgn 115 !; 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(f1422,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(f1481,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(f1483,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(f2094,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(f22923,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(f23001,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(f36501,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(f36502,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)],[f36501]) ).
fof(f36607,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,[],[f36502]) ).
fof(f36608,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,[],[f36607]) ).
fof(f36784,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,[],[f23001]) ).
fof(f36785,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,[],[f36784]) ).
fof(f36796,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,[],[f22923]) ).
fof(f36797,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,[],[f36796]) ).
fof(f36918,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,[],[f2094]) ).
fof(f36919,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,[],[f36918]) ).
fof(f37091,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,[],[f1481]) ).
fof(f37092,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f38055,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(f38056,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,[],[f38055]) ).
fof(f42074,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,sK35),k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,u1_struct_0(k5_group_4(sK32,sK35))))
& m1_subset_1(sK35,k1_zfmisc_1(u1_struct_0(sK32)))
& v1_funct_1(sK34)
& v1_funct_2(sK34,u1_struct_0(sK32),u1_struct_0(sK33))
& m2_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33))
& ~ v3_struct_0(sK33)
& v3_group_1(sK33)
& v4_group_1(sK33)
& l1_group_1(sK33)
& ~ v3_struct_0(sK32)
& v3_group_1(sK32)
& v4_group_1(sK32)
& l1_group_1(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35]),skolemize(X0,sK32),skolemize(X1,sK33),skolemize(X2,sK34),skolemize(X3,sK35)],[f36608]) ).
fof(f42105,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,[],[f1483]) ).
fof(f42136,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,[],[f36797]) ).
fof(f42137,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,[],[f42136]) ).
fof(f42138,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,[],[f42137]) ).
fof(f42139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ( ~ m1_group_2(X2,sK72(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK72(X0,X1,X2)))
& v1_group_1(sK72(X0,X1,X2))
& m1_group_2(sK72(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,[sK72]),skolemize(X3,sK72(X0,X1,X2))],[f42138]) ).
fof(f43650,plain,
l1_group_1(sK32),
inference(cnf_transformation,[],[f42074]) ).
fof(f43651,plain,
v4_group_1(sK32),
inference(cnf_transformation,[],[f42074]) ).
fof(f43652,plain,
v3_group_1(sK32),
inference(cnf_transformation,[],[f42074]) ).
fof(f43653,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f42074]) ).
fof(f43658,plain,
m2_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33)),
inference(cnf_transformation,[],[f42074]) ).
fof(f43659,plain,
v1_funct_2(sK34,u1_struct_0(sK32),u1_struct_0(sK33)),
inference(cnf_transformation,[],[f42074]) ).
fof(f43660,plain,
v1_funct_1(sK34),
inference(cnf_transformation,[],[f42074]) ).
fof(f43661,plain,
m1_subset_1(sK35,k1_zfmisc_1(u1_struct_0(sK32))),
inference(cnf_transformation,[],[f42074]) ).
fof(f43662,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,sK35),k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,u1_struct_0(k5_group_4(sK32,sK35)))),
inference(cnf_transformation,[],[f42074]) ).
fof(f43735,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f42105]) ).
fof(f43891,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,[],[f36785]) ).
fof(f43892,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,[],[f36785]) ).
fof(f43899,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,[],[f42139]) ).
fof(f44043,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,[],[f36919]) ).
fof(f44275,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,[],[f37091]) ).
fof(f44276,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f37092]) ).
fof(f45658,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,[],[f38056]) ).
fof(f52078,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,[],[f43899]) ).
fof(f53289,plain,
( v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| v1_group_1(k5_group_4(sK32,sK35)) ),
inference(resolution,[],[f43892,f43661]) ).
fof(f53290,plain,
( ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| v1_group_1(k5_group_4(sK32,sK35)) ),
inference(forward_subsumption_resolution,[],[f53289,f43653]) ).
fof(f53291,plain,
( ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| v1_group_1(k5_group_4(sK32,sK35)) ),
inference(forward_subsumption_resolution,[],[f53290,f43652]) ).
fof(f53292,plain,
( ~ l1_group_1(sK32)
| v1_group_1(k5_group_4(sK32,sK35)) ),
inference(forward_subsumption_resolution,[],[f53291,f43651]) ).
fof(f53293,plain,
v1_group_1(k5_group_4(sK32,sK35)),
inference(forward_subsumption_resolution,[],[f53292,f43650]) ).
fof(f53299,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| ~ m1_group_2(k5_group_4(sK32,sK35),sK32)
| ~ m1_subset_1(sK35,k1_zfmisc_1(u1_struct_0(sK32)))
| v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f53293,f52078]) ).
fof(f53300,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| ~ m1_subset_1(sK35,k1_zfmisc_1(u1_struct_0(sK32)))
| v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f53299,f43891]) ).
fof(f53301,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f53300,f43661]) ).
fof(f53302,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f53301,f43653]) ).
fof(f53303,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f53302,f43652]) ).
fof(f53304,plain,
( r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f53303,f43651]) ).
fof(f53305,plain,
r1_tarski(sK35,u1_struct_0(k5_group_4(sK32,sK35))),
inference(forward_subsumption_resolution,[],[f53304,f43650]) ).
fof(f53312,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f44276,f44275]) ).
fof(f53313,plain,
v1_relat_1(sK34),
inference(resolution,[],[f53312,f43658]) ).
fof(f53314,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK34,X1,X2)
| k9_relat_1(sK34,X0) = k2_funct_2(X1,X2,sK34,X0)
| ~ m1_relset_1(sK34,X1,X2) ),
inference(resolution,[],[f44043,f43660]) ).
fof(f53323,definition,
( spl1098_50
<=> m1_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33)) ),
introduced(definition,[new_symbols(definition,[spl1098_50])],[avatar_definition]) ).
fof(f53324,plain,
( ~ m1_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33))
| spl1098_50 ),
inference(avatar_component_clause,[],[f53323]) ).
fof(f53330,plain,
( ~ m2_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33))
| spl1098_50 ),
inference(resolution,[],[f53324,f43735]) ).
fof(f53332,plain,
( $false
| spl1098_50 ),
inference(forward_subsumption_resolution,[],[f53330,f43658]) ).
fof(f53333,plain,
spl1098_50,
inference(avatar_contradiction_clause,[],[f53332]) ).
fof(f53354,plain,
! [X0] :
( k9_relat_1(sK34,X0) = k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,X0)
| ~ m1_relset_1(sK34,u1_struct_0(sK32),u1_struct_0(sK33)) ),
inference(resolution,[],[f53314,f43659]) ).
fof(f53356,definition,
( spl1098_52
<=> ! [X0] : k9_relat_1(sK34,X0) = k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,X0) ),
introduced(definition,[new_symbols(definition,[spl1098_52])],[avatar_definition]) ).
fof(f53357,plain,
( ! [X0] : k9_relat_1(sK34,X0) = k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,X0)
| ~ spl1098_52 ),
inference(avatar_component_clause,[],[f53356]) ).
fof(f53358,plain,
( ~ spl1098_50
| spl1098_52 ),
inference(avatar_split_clause,[],[f53354,f53356,f53323]) ).
fof(f53360,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK32),u1_struct_0(sK33),sK34,sK35),k9_relat_1(sK34,u1_struct_0(k5_group_4(sK32,sK35))))
| ~ spl1098_52 ),
inference(superposition,[],[f43662,f53357]) ).
fof(f53363,plain,
( ~ r1_tarski(k9_relat_1(sK34,sK35),k9_relat_1(sK34,u1_struct_0(k5_group_4(sK32,sK35))))
| ~ spl1098_52 ),
inference(forward_demodulation,[],[f53360,f53357]) ).
fof(f53365,plain,
( $false
| ~ spl1098_52 ),
inference(unit_resulting_resolution,[],[f45658,f53313,f53305,f53363]) ).
fof(f53367,plain,
~ spl1098_52,
inference(avatar_contradiction_clause,[],[f53365]) ).
cnf(s47,plain,
spl1098_50,
inference(sat_conversion,[],[f53333]) ).
cnf(s48,plain,
( ~ spl1098_50
| spl1098_52 ),
inference(sat_conversion,[],[f53358]) ).
cnf(s49,plain,
~ spl1098_52,
inference(sat_conversion,[],[f53367]) ).
cnf(s50,plain,
~ spl1098_50,
inference(rat,[],[s48,s49]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s47,s50]) ).
fof(f53368,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 10:23:28 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 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
% 21.97/5.22 % (2116606)Detected formulas, will run a generic FOF schedule.
% 21.97/5.22 % (2116621)dis-21_1_sil=8000:lcm=predicate:random_seed=282227260:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2984 on theBenchmark for (2984ds/129Mi)
% 21.97/5.22 % (2116618)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2301216536:i=109:sd=1:ins=1:gsp=on:ss=axioms_2984 on theBenchmark for (2984ds/109Mi)
% 21.97/5.22 % (2116615)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=3197277491:i=141193_2984 on theBenchmark for (2984ds/141193Mi)
% 21.97/5.22 % (2116621)Instruction limit reached!
% 21.97/5.22 % (2116621)------------------------------
% 21.97/5.22 % (2116621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/5.22 % (2116621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/5.22 % (2116621)CaDiCaL version: 2.1.3
% 21.97/5.22 % (2116621)Termination reason: Instruction limit
% 21.97/5.22 % (2116621)Termination phase: SInE selection
% 21.97/5.22 % (2116621)Time elapsed: 0.081 s
% 21.97/5.22 % (2116621)Peak memory usage: 139 MB
% 21.97/5.22 % (2116621)Instructions burned: 130 (million)
% 21.97/5.22 % (2116616)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=4279228124:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2984 on theBenchmark for (2984ds/134677Mi)
% 21.97/5.22 % (2116617)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=3936069090:i=141695:sd=1:nm=32:gsp=on:ss=included_2984 on theBenchmark for (2984ds/141695Mi)
% 21.97/5.22 % (2116619)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1685600773:i=119:av=off:ss=axioms_2984 on theBenchmark for (2984ds/119Mi)
% 21.97/5.22 % (2116620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4051231932:s2a=on:i=139:gtg=position_2984 on theBenchmark for (2984ds/139Mi)
% 21.97/5.22 % (2116618)Instruction limit reached!
% 21.97/5.22 % (2116618)------------------------------
% 21.97/5.22 % (2116618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/5.22 % (2116618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/5.22 % (2116618)CaDiCaL version: 2.1.3
% 21.97/5.22 % (2116618)Termination reason: Instruction limit
% 21.97/5.22 % (2116618)Termination phase: SInE selection
% 21.97/5.22 % (2116618)Time elapsed: 0.100 s
% 21.97/5.22 % (2116618)Peak memory usage: 139 MB
% 21.97/5.22 % (2116618)Instructions burned: 109 (million)
% 21.97/5.22 % (2116620)Instruction limit reached!
% 21.97/5.22 % (2116620)------------------------------
% 21.97/5.22 % (2116620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/5.22 % (2116620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/5.22 % (2116620)CaDiCaL version: 2.1.3
% 21.97/5.22 % (2116620)Termination reason: Instruction limit
% 21.97/5.22 % (2116620)Termination phase: Property scanning
% 21.97/5.22 % (2116620)Time elapsed: 0.124 s
% 21.97/5.22 % (2116620)Peak memory usage: 139 MB
% 21.97/5.22 % (2116620)Instructions burned: 139 (million)
% 21.97/5.22 % (2116619)Instruction limit reached!
% 21.97/5.22 % (2116619)------------------------------
% 21.97/5.22 % (2116619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/5.22 % (2116619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/5.22 % (2116619)CaDiCaL version: 2.1.3
% 21.97/5.22 % (2116619)Termination reason: Instruction limit
% 21.97/5.22 % (2116619)Termination phase: SInE selection
% 21.97/5.22 % (2116619)Time elapsed: 0.141 s
% 21.97/5.22 % (2116619)Peak memory usage: 139 MB
% 21.97/5.22 % (2116619)Instructions burned: 119 (million)
% 21.97/5.22 % (2116626)lrs+10_1_sil=8000:sp=occurrence:random_seed=1998640431:i=285:sd=3:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/285Mi)
% 21.97/5.22 % (2116630)lrs+10_1_sil=32000:urr=on:br=off:random_seed=162884676:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 21.97/5.22 % (2116626)Instruction limit reached!
% 21.97/5.22 % (2116626)------------------------------
% 21.97/5.22 % (2116626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/5.22 % (2116626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/5.22 % (2116626)CaDiCaL version: 2.1.3
% 21.97/5.22 % (2116626)Termination reason: Instruction limit
% 30.20/6.41 % (2116626)Termination phase: Preprocessing 3
% 30.20/6.41 % (2116626)Time elapsed: 0.222 s
% 30.20/6.41 % (2116626)Peak memory usage: 142 MB
% 30.20/6.41 % (2116626)Instructions burned: 286 (million)
% 30.20/6.41 % (2116631)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1504186518:i=325:sd=1:ss=axioms:sgt=32_2980 on theBenchmark for (2980ds/325Mi)
% 30.20/6.41 % (2116630)Instruction limit reached!
% 30.20/6.41 % (2116630)------------------------------
% 30.20/6.41 % (2116630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116630)CaDiCaL version: 2.1.3
% 30.20/6.41 % (2116630)Termination reason: Instruction limit
% 30.20/6.41 % (2116630)Termination phase: Property scanning
% 30.20/6.41 % (2116630)Time elapsed: 0.137 s
% 30.20/6.41 % (2116630)Peak memory usage: 139 MB
% 30.20/6.41 % (2116630)Instructions burned: 157 (million)
% 30.20/6.41 % (2116632)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=2106998496:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 30.20/6.41 % (2116632)Instruction limit reached!
% 30.20/6.41 % (2116632)------------------------------
% 30.20/6.41 % (2116632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116632)CaDiCaL version: 2.1.3
% 30.20/6.41 % (2116632)Termination reason: Instruction limit
% 30.20/6.41 % (2116632)Termination phase: Property scanning
% 30.20/6.41 % (2116632)Time elapsed: 0.207 s
% 30.20/6.41 % (2116632)Peak memory usage: 139 MB
% 30.20/6.41 % (2116632)Instructions burned: 249 (million)
% 30.20/6.41 % (2116638)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2805770961:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 30.20/6.41 % (2116636)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1825658296:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 30.20/6.41 % (2116631)Instruction limit reached!
% 30.20/6.41 % (2116631)------------------------------
% 30.20/6.41 % (2116631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116631)CaDiCaL version: 2.1.3
% 30.20/6.41 % (2116631)Termination reason: Instruction limit
% 30.20/6.41 % (2116631)Termination phase: Saturation
% 30.20/6.41 % (2116631)Time elapsed: 0.363 s
% 30.20/6.41 % (2116631)Peak memory usage: 145 MB
% 30.20/6.41 % (2116631)Instructions burned: 326 (million)
% 30.20/6.41 % (2116639)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=893413882:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 30.20/6.41 % (2116636)Instruction limit reached!
% 30.20/6.41 % (2116636)------------------------------
% 30.20/6.41 % (2116636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116636)CaDiCaL version: 2.1.3
% 30.20/6.41 % (2116636)Termination reason: Instruction limit
% 30.20/6.41 % (2116636)Termination phase: SInE selection
% 30.20/6.41 % (2116636)Time elapsed: 0.301 s
% 30.20/6.41 % (2116636)Peak memory usage: 139 MB
% 30.20/6.41 % (2116636)Instructions burned: 294 (million)
% 30.20/6.41 % (2116642)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=569100912:i=127:av=off:fsr=off:sup=off_2974 on theBenchmark for (2974ds/127Mi)
% 30.20/6.41 % (2116639)Instruction limit reached!
% 30.20/6.41 % (2116639)------------------------------
% 30.20/6.41 % (2116639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116639)CaDiCaL version: 2.1.3
% 30.20/6.41 % (2116639)Termination reason: Instruction limit
% 30.20/6.41 % (2116639)Termination phase: SInE selection
% 30.20/6.41 % (2116639)Time elapsed: 0.136 s
% 30.20/6.41 % (2116639)Peak memory usage: 139 MB
% 30.20/6.41 % (2116639)Instructions burned: 113 (million)
% 30.20/6.41 % (2116642)Instruction limit reached!
% 30.20/6.41 % (2116642)------------------------------
% 30.20/6.41 % (2116642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.20/6.41 % (2116642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.20/6.41 % (2116642)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116642)Termination reason: Instruction limit
% 19.65/8.11 % (2116642)Termination phase: Preprocessing 1
% 19.65/8.11 % (2116642)Time elapsed: 0.147 s
% 19.65/8.11 % (2116642)Peak memory usage: 140 MB
% 19.65/8.11 % (2116642)Instructions burned: 128 (million)
% 19.65/8.11 % (2116644)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1150032629:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 19.65/8.11 % (2116644)Instruction limit reached!
% 19.65/8.11 % (2116644)------------------------------
% 19.65/8.11 % (2116644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116644)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116644)Termination reason: Instruction limit
% 19.65/8.11 % (2116644)Termination phase: Property scanning
% 19.65/8.11 % (2116644)Time elapsed: 0.104 s
% 19.65/8.11 % (2116644)Peak memory usage: 139 MB
% 19.65/8.11 % (2116644)Instructions burned: 116 (million)
% 19.65/8.11 % (2116646)lrs+10_1_sil=8000:sp=occurrence:random_seed=3550569373:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 19.65/8.11 % (2116649)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4118622171:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 19.65/8.11 % (2116652)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1667069969:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 19.65/8.11 % (2116649)Instruction limit reached!
% 19.65/8.11 % (2116649)------------------------------
% 19.65/8.11 % (2116649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116649)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116649)Termination reason: Instruction limit
% 19.65/8.11 % (2116649)Termination phase: Saturation
% 19.65/8.11 % (2116649)Time elapsed: 0.493 s
% 19.65/8.11 % (2116649)Peak memory usage: 146 MB
% 19.65/8.11 % (2116649)Instructions burned: 437 (million)
% 19.65/8.11 % (2116638)Instruction limit reached!
% 19.65/8.11 % (2116638)------------------------------
% 19.65/8.11 % (2116638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116638)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116638)Termination reason: Instruction limit
% 19.65/8.11 % (2116638)Termination phase: Property scanning
% 19.65/8.11 % (2116638)Time elapsed: 1.346 s
% 19.65/8.11 % (2116638)Peak memory usage: 241 MB
% 19.65/8.11 % (2116638)Instructions burned: 2351 (million)
% 19.65/8.11 % (2116658)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=10168261:st=8:i=592:sd=3:ep=RST:ss=axioms_2961 on theBenchmark for (2961ds/592Mi)
% 19.65/8.11 % (2116657)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1665652560:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 19.65/8.11 % (2116646)Instruction limit reached!
% 19.65/8.11 % (2116646)------------------------------
% 19.65/8.11 % (2116646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116646)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116646)Termination reason: Instruction limit
% 19.65/8.11 % (2116646)Termination phase: Property scanning
% 19.65/8.11 % (2116646)Time elapsed: 0.939 s
% 19.65/8.11 % (2116646)Peak memory usage: 157 MB
% 19.65/8.11 % (2116646)Instructions burned: 908 (million)
% 19.65/8.11 % (2116657)Instruction limit reached!
% 19.65/8.11 % (2116657)------------------------------
% 19.65/8.11 % (2116657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116657)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116657)Termination reason: Instruction limit
% 19.65/8.11 % (2116657)Termination phase: SInE selection
% 19.65/8.11 % (2116657)Time elapsed: 0.153 s
% 19.65/8.11 % (2116657)Peak memory usage: 139 MB
% 19.65/8.11 % (2116657)Instructions burned: 134 (million)
% 19.65/8.11 % (2116658)Instruction limit reached!
% 19.65/8.11 % (2116658)------------------------------
% 19.65/8.11 % (2116658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116658)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116658)Termination reason: Instruction limit
% 19.65/8.11 % (2116658)Termination phase: Preprocessing 1
% 19.65/8.11 % (2116658)Time elapsed: 0.388 s
% 19.65/8.11 % (2116658)Peak memory usage: 142 MB
% 19.65/8.11 % (2116658)Instructions burned: 598 (million)
% 19.65/8.11 % (2116661)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2215124208:st=3:i=13193:sd=3:ss=axioms_2958 on theBenchmark for (2958ds/13193Mi)
% 19.65/8.11 % (2116662)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=768700766:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/125Mi)
% 19.65/8.11 % (2116662)Instruction limit reached!
% 19.65/8.11 % (2116662)------------------------------
% 19.65/8.11 % (2116662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116662)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116662)Termination reason: Instruction limit
% 19.65/8.11 % (2116662)Termination phase: Property scanning
% 19.65/8.11 % (2116662)Time elapsed: 0.063 s
% 19.65/8.11 % (2116662)Peak memory usage: 139 MB
% 19.65/8.11 % (2116662)Instructions burned: 127 (million)
% 19.65/8.11 % (2116663)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4206980405:i=134:gtgl=5:slsql=off:gtg=exists_sym_2956 on theBenchmark for (2956ds/134Mi)
% 19.65/8.11 % (2116663)Instruction limit reached!
% 19.65/8.11 % (2116663)------------------------------
% 19.65/8.11 % (2116663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116663)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116663)Termination reason: Instruction limit
% 19.65/8.11 % (2116663)Termination phase: Property scanning
% 19.65/8.11 % (2116663)Time elapsed: 0.065 s
% 19.65/8.11 % (2116663)Peak memory usage: 139 MB
% 19.65/8.11 % (2116663)Instructions burned: 137 (million)
% 19.65/8.11 % (2116666)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2059561224:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/141Mi)
% 19.65/8.11 % (2116666)Instruction limit reached!
% 19.65/8.11 % (2116666)------------------------------
% 19.65/8.11 % (2116666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116666)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116666)Termination reason: Instruction limit
% 19.65/8.11 % (2116666)Termination phase: SInE selection
% 19.65/8.11 % (2116666)Time elapsed: 0.162 s
% 19.65/8.11 % (2116666)Peak memory usage: 139 MB
% 19.65/8.11 % (2116666)Instructions burned: 141 (million)
% 19.65/8.11 % (2116668)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3427539832:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 19.65/8.11 % (2116670)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1576523085:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 19.65/8.11 % (2116668)Instruction limit reached!
% 19.65/8.11 % (2116668)------------------------------
% 19.65/8.11 % (2116668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116668)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116668)Termination reason: Instruction limit
% 19.65/8.11 % (2116668)Termination phase: Saturation
% 19.65/8.11 % (2116668)Time elapsed: 0.289 s
% 19.65/8.11 % (2116668)Peak memory usage: 146 MB
% 19.65/8.11 % (2116668)Instructions burned: 431 (million)
% 19.65/8.11 % (2116673)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4044420639:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2947 on theBenchmark for (2947ds/150Mi)
% 19.65/8.11 % (2116673)Instruction limit reached!
% 19.65/8.11 % (2116673)------------------------------
% 19.65/8.11 % (2116673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/8.11 % (2116673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/8.11 % (2116673)CaDiCaL version: 2.1.3
% 19.65/8.11 % (2116673)Termination reason: Instruction limit
% 19.65/8.11 % (2116673)Termination phase: SInE selection
% 19.65/8.11 % (2116673)Time elapsed: 0.108 s
% 19.65/8.11 % (2116673)Peak memory usage: 139 MB
% 19.65/8.11 % (2116673)Instructions burned: 151 (million)
% 19.65/8.11 % (2116675)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2792024457:i=14155:bd=all_2944 on theBenchmark for (2944ds/14155Mi)
% 19.65/8.11 % (2116616)First to succeed.
% 19.65/8.11 % (2116616)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2116606"
% 19.65/8.11 % (2116616)Refutation found. Thanks to Tanya!
% 19.65/8.11 % SZS status Theorem for theBenchmark
% 19.65/8.11 % SZS output start Proof for theBenchmark
% See solution above
% 42.82/8.38 % (2116616)------------------------------
% 42.82/8.38 % (2116616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.82/8.38 % (2116616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/8.38 % (2116616)CaDiCaL version: 2.1.3
% 42.82/8.38 % (2116616)Termination reason: Refutation
% 42.82/8.38 % (2116616)Time elapsed: 4.994 s
% 42.82/8.38 % (2116616)Peak memory usage: 282 MB
% 42.82/8.38 % (2116616)Instructions burned: 5044 (million)
% 42.82/8.38 % (2116616)------------------------------
% 42.82/8.38 % (2116616)------------------------------
% 42.82/8.38 % (2116606)Success in time 7.275 s
% 42.82/8.38 % Vampire exiting
%------------------------------------------------------------------------------