%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP639+2 : 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 : n002.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 14.53s 3.09s
% Output : Refutation 14.99s
% 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(f1257,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(f1316,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(f1318,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(f1890,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(f5038,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(f5116,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(f5650,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(f5651,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)],[f5650]) ).
fof(f5705,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,[],[f5651]) ).
fof(f5706,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,[],[f5705]) ).
fof(f5845,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,[],[f5116]) ).
fof(f5846,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,[],[f5845]) ).
fof(f5857,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,[],[f5038]) ).
fof(f5858,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,[],[f5857]) ).
fof(f5919,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,[],[f1890]) ).
fof(f5920,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,[],[f5919]) ).
fof(f6051,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,[],[f1316]) ).
fof(f6052,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1257]) ).
fof(f6416,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(f6417,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,[],[f6416]) ).
fof(f8522,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,sK14),k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(k5_group_4(sK11,sK14))))
& m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK11)))
& v1_funct_1(sK13)
& v1_funct_2(sK13,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12))
& ~ v3_struct_0(sK12)
& v3_group_1(sK12)
& v4_group_1(sK12)
& l1_group_1(sK12)
& ~ v3_struct_0(sK11)
& v3_group_1(sK11)
& v4_group_1(sK11)
& l1_group_1(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14)],[f5706]) ).
fof(f8556,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,[],[f1318]) ).
fof(f8575,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,[],[f5858]) ).
fof(f8576,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,[],[f8575]) ).
fof(f8577,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,[],[f8576]) ).
fof(f8578,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ( ~ m1_group_2(X2,sK45(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK45(X0,X1,X2)))
& v1_group_1(sK45(X0,X1,X2))
& m1_group_2(sK45(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,[sK45]),skolemize(X3,sK45(X0,X1,X2))],[f8577]) ).
fof(f9372,plain,
l1_group_1(sK11),
inference(cnf_transformation,[],[f8522]) ).
fof(f9373,plain,
v4_group_1(sK11),
inference(cnf_transformation,[],[f8522]) ).
fof(f9374,plain,
v3_group_1(sK11),
inference(cnf_transformation,[],[f8522]) ).
fof(f9375,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f8522]) ).
fof(f9380,plain,
m2_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f8522]) ).
fof(f9381,plain,
v1_funct_2(sK13,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f8522]) ).
fof(f9382,plain,
v1_funct_1(sK13),
inference(cnf_transformation,[],[f8522]) ).
fof(f9383,plain,
m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK11))),
inference(cnf_transformation,[],[f8522]) ).
fof(f9384,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,sK14),k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(k5_group_4(sK11,sK14)))),
inference(cnf_transformation,[],[f8522]) ).
fof(f9470,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8556]) ).
fof(f9586,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,[],[f5846]) ).
fof(f9587,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,[],[f5846]) ).
fof(f9594,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,[],[f8578]) ).
fof(f9674,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,[],[f5920]) ).
fof(f9832,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,[],[f6051]) ).
fof(f9833,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6052]) ).
fof(f10305,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,[],[f6417]) ).
fof(f13798,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,[],[f9594]) ).
fof(f14509,plain,
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK14)) ),
inference(resolution,[],[f9587,f9383]) ).
fof(f14510,plain,
( ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK14)) ),
inference(forward_subsumption_resolution,[],[f14509,f9375]) ).
fof(f14511,plain,
( ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK14)) ),
inference(forward_subsumption_resolution,[],[f14510,f9374]) ).
fof(f14512,plain,
( ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK14)) ),
inference(forward_subsumption_resolution,[],[f14511,f9373]) ).
fof(f14513,plain,
v1_group_1(k5_group_4(sK11,sK14)),
inference(forward_subsumption_resolution,[],[f14512,f9372]) ).
fof(f14519,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| ~ m1_group_2(k5_group_4(sK11,sK14),sK11)
| ~ m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11) ),
inference(resolution,[],[f14513,f13798]) ).
fof(f14520,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14519,f9586]) ).
fof(f14521,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14520,f9383]) ).
fof(f14522,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14521,f9375]) ).
fof(f14523,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14522,f9374]) ).
fof(f14524,plain,
( r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14)))
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14523,f9373]) ).
fof(f14525,plain,
r1_tarski(sK14,u1_struct_0(k5_group_4(sK11,sK14))),
inference(forward_subsumption_resolution,[],[f14524,f9372]) ).
fof(f14526,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK13,X1,X2)
| k9_relat_1(sK13,X0) = k2_funct_2(X1,X2,sK13,X0)
| ~ m1_relset_1(sK13,X1,X2) ),
inference(resolution,[],[f9674,f9382]) ).
fof(f14532,definition,
( spl496_15
<=> m1_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12)) ),
introduced(definition,[new_symbols(definition,[spl496_15])],[avatar_definition]) ).
fof(f14533,plain,
( ~ m1_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12))
| spl496_15 ),
inference(avatar_component_clause,[],[f14532]) ).
fof(f14539,plain,
( ~ m2_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12))
| spl496_15 ),
inference(resolution,[],[f14533,f9470]) ).
fof(f14541,plain,
( $false
| spl496_15 ),
inference(forward_subsumption_resolution,[],[f14539,f9380]) ).
fof(f14542,plain,
spl496_15,
inference(avatar_contradiction_clause,[],[f14541]) ).
fof(f14554,plain,
! [X0] :
( k9_relat_1(sK13,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,X0)
| ~ m1_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12)) ),
inference(resolution,[],[f14526,f9381]) ).
fof(f14556,definition,
( spl496_17
<=> ! [X0] : k9_relat_1(sK13,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,X0) ),
introduced(definition,[new_symbols(definition,[spl496_17])],[avatar_definition]) ).
fof(f14557,plain,
( ! [X0] : k9_relat_1(sK13,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,X0)
| ~ spl496_17 ),
inference(avatar_component_clause,[],[f14556]) ).
fof(f14558,plain,
( ~ spl496_15
| spl496_17 ),
inference(avatar_split_clause,[],[f14554,f14556,f14532]) ).
fof(f14560,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,sK14),k9_relat_1(sK13,u1_struct_0(k5_group_4(sK11,sK14))))
| ~ spl496_17 ),
inference(superposition,[],[f9384,f14557]) ).
fof(f14563,plain,
( ~ r1_tarski(k9_relat_1(sK13,sK14),k9_relat_1(sK13,u1_struct_0(k5_group_4(sK11,sK14))))
| ~ spl496_17 ),
inference(forward_demodulation,[],[f14560,f14557]) ).
fof(f14584,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f9833,f9832]) ).
fof(f14585,plain,
v1_relat_1(sK13),
inference(resolution,[],[f14584,f9380]) ).
fof(f14622,plain,
( $false
| ~ spl496_17 ),
inference(unit_resulting_resolution,[],[f10305,f14585,f14525,f14563]) ).
fof(f14624,plain,
~ spl496_17,
inference(avatar_contradiction_clause,[],[f14622]) ).
cnf(s14,plain,
spl496_15,
inference(sat_conversion,[],[f14542]) ).
cnf(s15,plain,
( ~ spl496_15
| spl496_17 ),
inference(sat_conversion,[],[f14558]) ).
cnf(s16,plain,
~ spl496_17,
inference(sat_conversion,[],[f14624]) ).
cnf(s17,plain,
~ spl496_15,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s14,s17]) ).
fof(f14625,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP639+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.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 10:23:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 12.27/2.84 % (3333978)Detected formulas, will run a generic FOF schedule.
% 12.27/2.84 % (3333987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=472888455:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 12.27/2.84 % (3333988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2064290710:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 12.27/2.84 % (3333983)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=1155234492:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 12.27/2.84 % (3333986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3348809816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 12.27/2.84 % (3333984)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=2279341292:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 12.27/2.84 % (3333985)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=3278454395:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 12.27/2.84 % (3333987)Instruction limit reached!
% 12.27/2.84 % (3333987)------------------------------
% 12.27/2.84 % (3333987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.84 % (3333987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.84 % (3333987)CaDiCaL version: 2.1.3
% 12.27/2.84 % (3333987)Termination reason: Instruction limit
% 12.27/2.84 % (3333987)Termination phase: Saturation
% 12.27/2.84 % (3333987)Time elapsed: 0.046 s
% 12.27/2.84 % (3333987)Peak memory usage: 96 MB
% 12.27/2.84 % (3333987)Instructions burned: 121 (million)
% 12.27/2.84 % (3333989)dis-21_1_sil=8000:lcm=predicate:random_seed=77653015:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 12.27/2.84 % (3333986)Instruction limit reached!
% 12.27/2.84 % (3333986)------------------------------
% 12.27/2.84 % (3333986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.84 % (3333986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.84 % (3333986)CaDiCaL version: 2.1.3
% 12.27/2.84 % (3333986)Termination reason: Instruction limit
% 12.27/2.84 % (3333986)Termination phase: Saturation
% 12.27/2.84 % (3333986)Time elapsed: 0.074 s
% 12.27/2.84 % (3333986)Peak memory usage: 96 MB
% 12.27/2.84 % (3333986)Instructions burned: 109 (million)
% 12.27/2.84 % (3333988)Instruction limit reached!
% 12.27/2.84 % (3333988)------------------------------
% 12.27/2.84 % (3333988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.84 % (3333988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.84 % (3333988)CaDiCaL version: 2.1.3
% 12.27/2.84 % (3333988)Termination reason: Instruction limit
% 12.27/2.84 % (3333988)Termination phase: Unused predicate definition removal
% 12.27/2.84 % (3333988)Time elapsed: 0.085 s
% 12.27/2.84 % (3333988)Peak memory usage: 92 MB
% 12.27/2.84 % (3333988)Instructions burned: 139 (million)
% 12.27/2.84 % (3333997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2451160878:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.27/2.84 % (3333989)Instruction limit reached!
% 12.27/2.84 % (3333989)------------------------------
% 12.27/2.84 % (3333989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.84 % (3333989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.84 % (3333989)CaDiCaL version: 2.1.3
% 12.27/2.84 % (3333989)Termination reason: Instruction limit
% 12.27/2.84 % (3333989)Termination phase: Preprocessing 3
% 12.27/2.84 % (3333989)Time elapsed: 0.100 s
% 12.27/2.84 % (3333989)Peak memory usage: 97 MB
% 12.27/2.84 % (3333989)Instructions burned: 129 (million)
% 12.27/2.84 % (3333997)Instruction limit reached!
% 12.27/2.84 % (3333997)------------------------------
% 12.27/2.84 % (3333997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.84 % (3333997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.84 % (3333997)CaDiCaL version: 2.1.3
% 12.27/2.84 % (3333997)Termination reason: Instruction limit
% 12.27/2.84 % (3333997)Termination phase: Saturation
% 12.27/2.84 % (3333997)Time elapsed: 0.107 s
% 12.27/2.84 % (3333997)Peak memory usage: 100 MB
% 12.27/2.84 % (3333997)Instructions burned: 286 (million)
% 14.53/3.09 % (3333998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2101145320:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.53/3.09 % (3333999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2242407428:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.53/3.09 % (3334001)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=3667264220:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.53/3.09 % (3334003)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3560890433:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 14.53/3.09 % (3333998)Instruction limit reached!
% 14.53/3.09 % (3333998)------------------------------
% 14.53/3.09 % (3333998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3333998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3333998)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3333998)Termination reason: Instruction limit
% 14.53/3.09 % (3333998)Termination phase: Saturation
% 14.53/3.09 % (3333998)Time elapsed: 0.089 s
% 14.53/3.09 % (3333998)Peak memory usage: 95 MB
% 14.53/3.09 % (3333998)Instructions burned: 157 (million)
% 14.53/3.09 % (3334001)Instruction limit reached!
% 14.53/3.09 % (3334001)------------------------------
% 14.53/3.09 % (3334001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334001)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334001)Termination reason: Instruction limit
% 14.53/3.09 % (3334001)Termination phase: Preprocessing 3
% 14.53/3.09 % (3334001)Time elapsed: 0.153 s
% 14.53/3.09 % (3334001)Peak memory usage: 100 MB
% 14.53/3.09 % (3334001)Instructions burned: 249 (million)
% 14.53/3.09 % (3334003)Instruction limit reached!
% 14.53/3.09 % (3334003)------------------------------
% 14.53/3.09 % (3334003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334003)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334003)Termination reason: Instruction limit
% 14.53/3.09 % (3334003)Termination phase: Saturation
% 14.53/3.09 % (3334003)Time elapsed: 0.097 s
% 14.53/3.09 % (3334003)Peak memory usage: 99 MB
% 14.53/3.09 % (3334003)Instructions burned: 296 (million)
% 14.53/3.09 % (3334007)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3909770572:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.53/3.09 % (3333999)Instruction limit reached!
% 14.53/3.09 % (3333999)------------------------------
% 14.53/3.09 % (3333999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3333999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3333999)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3333999)Termination reason: Instruction limit
% 14.53/3.09 % (3333999)Termination phase: Saturation
% 14.53/3.09 % (3333999)Time elapsed: 0.222 s
% 14.53/3.09 % (3333999)Peak memory usage: 97 MB
% 14.53/3.09 % (3333999)Instructions burned: 326 (million)
% 14.53/3.09 % (3334009)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4161242180:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.53/3.09 % (3334008)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2513609725:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.53/3.09 % (3334009)Instruction limit reached!
% 14.53/3.09 % (3334009)------------------------------
% 14.53/3.09 % (3334009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334009)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334009)Termination reason: Instruction limit
% 14.53/3.09 % (3334009)Termination phase: Preprocessing 3
% 14.53/3.09 % (3334009)Time elapsed: 0.053 s
% 14.53/3.09 % (3334009)Peak memory usage: 99 MB
% 14.53/3.09 % (3334009)Instructions burned: 128 (million)
% 14.53/3.09 % (3334011)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1268748375:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 14.53/3.09 % (3334008)Instruction limit reached!
% 14.53/3.09 % (3334008)------------------------------
% 14.53/3.09 % (3334008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334008)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334008)Termination reason: Instruction limit
% 14.53/3.09 % (3334008)Termination phase: Property scanning
% 14.53/3.09 % (3334008)Time elapsed: 0.080 s
% 14.53/3.09 % (3334008)Peak memory usage: 95 MB
% 14.53/3.09 % (3334008)Instructions burned: 115 (million)
% 14.53/3.09 % (3334014)lrs+10_1_sil=8000:sp=occurrence:random_seed=344521430:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 14.53/3.09 % (3334011)Instruction limit reached!
% 14.53/3.09 % (3334011)------------------------------
% 14.53/3.09 % (3334011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334011)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334011)Termination reason: Instruction limit
% 14.53/3.09 % (3334011)Termination phase: Property scanning
% 14.53/3.09 % (3334011)Time elapsed: 0.049 s
% 14.53/3.09 % (3334011)Peak memory usage: 91 MB
% 14.53/3.09 % (3334011)Instructions burned: 114 (million)
% 14.53/3.09 % (3334016)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1415506454:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.53/3.09 % (3334018)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1656701331:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.53/3.09 % (3334014)Instruction limit reached!
% 14.53/3.09 % (3334014)------------------------------
% 14.53/3.09 % (3334014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334014)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334014)Termination reason: Instruction limit
% 14.53/3.09 % (3334014)Termination phase: Saturation
% 14.53/3.09 % (3334014)Time elapsed: 0.326 s
% 14.53/3.09 % (3334014)Peak memory usage: 110 MB
% 14.53/3.09 % (3334014)Instructions burned: 908 (million)
% 14.53/3.09 % (3334016)Instruction limit reached!
% 14.53/3.09 % (3334016)------------------------------
% 14.53/3.09 % (3334016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334016)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334016)Termination reason: Instruction limit
% 14.53/3.09 % (3334016)Termination phase: Saturation
% 14.53/3.09 % (3334016)Time elapsed: 0.284 s
% 14.53/3.09 % (3334016)Peak memory usage: 98 MB
% 14.53/3.09 % (3334016)Instructions burned: 438 (million)
% 14.53/3.09 % (3334021)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=770128846:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.53/3.09 % (3334021)Instruction limit reached!
% 14.53/3.09 % (3334021)------------------------------
% 14.53/3.09 % (3334021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334021)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334021)Termination reason: Instruction limit
% 14.53/3.09 % (3334021)Termination phase: Saturation
% 14.53/3.09 % (3334021)Time elapsed: 0.051 s
% 14.53/3.09 % (3334021)Peak memory usage: 98 MB
% 14.53/3.09 % (3334021)Instructions burned: 136 (million)
% 14.53/3.09 % (3334022)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2347748378:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.53/3.09 % (3334024)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=183639709:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 14.53/3.09 % (3334022)Instruction limit reached!
% 14.53/3.09 % (3334022)------------------------------
% 14.53/3.09 % (3334022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334022)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334022)Termination reason: Instruction limit
% 14.53/3.09 % (3334022)Termination phase: Property scanning
% 14.53/3.09 % (3334022)Time elapsed: 0.309 s
% 14.53/3.09 % (3334022)Peak memory usage: 103 MB
% 14.53/3.09 % (3334022)Instructions burned: 592 (million)
% 14.53/3.09 % (3333984)First to succeed.
% 14.53/3.09 % (3333984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3333978"
% 14.53/3.09 % (3334027)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=2609088480:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 14.53/3.09 % (3334027)Instruction limit reached!
% 14.53/3.09 % (3334027)------------------------------
% 14.53/3.09 % (3334027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.09 % (3334027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.09 % (3334027)CaDiCaL version: 2.1.3
% 14.53/3.09 % (3334027)Termination reason: Instruction limit
% 14.53/3.09 % (3334027)Termination phase: Naming
% 14.53/3.09 % (3334027)Time elapsed: 0.082 s
% 14.53/3.09 % (3334027)Peak memory usage: 93 MB
% 14.53/3.09 % (3334027)Instructions burned: 125 (million)
% 14.53/3.09 % (3334018)Also succeeded, but the first one will report.
% 14.53/3.09 % (3333984)Refutation found. Thanks to Tanya!
% 14.53/3.09 % SZS status Theorem for theBenchmark
% 14.53/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 14.99/3.29 % (3333984)------------------------------
% 14.99/3.29 % (3333984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.29 % (3333984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.29 % (3333984)CaDiCaL version: 2.1.3
% 14.99/3.29 % (3333984)Termination reason: Refutation
% 14.99/3.29 % (3333984)Time elapsed: 1.574 s
% 14.99/3.29 % (3333984)Peak memory usage: 176 MB
% 14.99/3.29 % (3333984)Instructions burned: 2637 (million)
% 14.99/3.29 % (3333984)------------------------------
% 14.99/3.29 % (3333984)------------------------------
% 14.99/3.29 % (3333978)Success in time 2.25 s
% 14.99/3.29 % Vampire exiting
%------------------------------------------------------------------------------