%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP640+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 10:15:13 AM UTC 2026
% Result : Theorem 14.75s 3.55s
% Output : Refutation 15.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 360 ( 36 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 504 ( 194 ~; 198 |; 87 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 90 ( 78 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8902,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f9585,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0)
& m1_group_2(X2,X0) )
=> ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f13967,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsubgr) ).
fof(f13976,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] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f13977,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] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13976]) ).
fof(f14027,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f13967]) ).
fof(f14028,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14027]) ).
fof(f14041,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& ~ 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,[],[f13977]) ).
fof(f14042,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& ~ 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,[],[f14041]) ).
fof(f14176,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f8902]) ).
fof(f14177,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f14176]) ).
fof(f14196,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(f14197,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,[],[f14196]) ).
fof(f14239,plain,
! [X0,X1,X2] :
( ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f9585]) ).
fof(f14240,plain,
! [X0,X1,X2] :
( ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f14239]) ).
fof(f18119,plain,
( k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k8_group_4(sK19,sK21,sK22))) != k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k5_group_4(sK19,sK24)))
& sK24 = k2_xboole_0(u1_struct_0(sK21),u1_struct_0(sK22))
& m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK19)))
& v1_funct_1(sK23)
& v1_funct_2(sK23,u1_struct_0(sK19),u1_struct_0(sK20))
& m2_relset_1(sK23,u1_struct_0(sK19),u1_struct_0(sK20))
& m1_group_2(sK22,sK19)
& m1_group_2(sK21,sK19)
& ~ 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,sK23,sK24]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X2,sK21),skolemize(X3,sK22),skolemize(X4,sK23),skolemize(X5,sK24)],[f14042]) ).
fof(f18159,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(nnf_transformation,[],[f14177]) ).
fof(f19389,plain,
! [X2,X3,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14028]) ).
fof(f19401,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19402,plain,
v4_group_1(sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19403,plain,
v3_group_1(sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19404,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19409,plain,
m1_group_2(sK21,sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19410,plain,
m1_group_2(sK22,sK19),
inference(cnf_transformation,[],[f18119]) ).
fof(f19414,plain,
m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK19))),
inference(cnf_transformation,[],[f18119]) ).
fof(f19415,plain,
sK24 = k2_xboole_0(u1_struct_0(sK21),u1_struct_0(sK22)),
inference(cnf_transformation,[],[f18119]) ).
fof(f19416,plain,
k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k8_group_4(sK19,sK21,sK22))) != k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k5_group_4(sK19,sK24))),
inference(cnf_transformation,[],[f18119]) ).
fof(f19594,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X1,X2)
| X1 = X2
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f18159]) ).
fof(f19618,plain,
! [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(cnf_transformation,[],[f14197]) ).
fof(f19619,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,[],[f14197]) ).
fof(f19698,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_4(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f14240]) ).
fof(f19699,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(X0,X1,X2))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f14240]) ).
fof(f26128,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19389]) ).
fof(f27611,plain,
! [X0] :
( r1_group_2(X0,k8_group_4(X0,sK21,sK22),k5_group_4(X0,sK24))
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(superposition,[],[f26128,f19415]) ).
fof(f27646,plain,
! [X0] :
( k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k8_group_4(X0,sK21,sK22))
| ~ m1_group_2(k8_group_4(X0,sK21,sK22),X0)
| ~ v1_group_1(k5_group_4(X0,sK24))
| ~ m1_group_2(k5_group_4(X0,sK24),X0)
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19594,f27611]) ).
fof(f27647,plain,
! [X0] :
( k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k8_group_4(X0,sK21,sK22))
| ~ m1_group_2(k8_group_4(X0,sK21,sK22),X0)
| ~ v1_group_1(k5_group_4(X0,sK24))
| ~ m1_group_2(k5_group_4(X0,sK24),X0)
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0) ),
inference(duplicate_literal_removal,[],[f27646]) ).
fof(f27648,plain,
! [X0] :
( k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(k8_group_4(X0,sK21,sK22),X0)
| ~ v1_group_1(k5_group_4(X0,sK24))
| ~ m1_group_2(k5_group_4(X0,sK24),X0)
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0) ),
inference(forward_subsumption_resolution,[],[f27647,f19699]) ).
fof(f27649,plain,
! [X0] :
( k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k5_group_4(X0,sK24))
| ~ m1_group_2(k5_group_4(X0,sK24),X0)
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0) ),
inference(forward_subsumption_resolution,[],[f27648,f19698]) ).
fof(f27650,plain,
! [X0] :
( k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(k5_group_4(X0,sK24),X0)
| ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0) ),
inference(forward_subsumption_resolution,[],[f27649,f19619]) ).
fof(f27651,plain,
! [X0] :
( ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k8_group_4(X0,sK21,sK22) = k5_group_4(X0,sK24)
| ~ m1_group_2(sK22,X0)
| ~ m1_group_2(sK21,X0) ),
inference(forward_subsumption_resolution,[],[f27650,f19618]) ).
fof(f27652,plain,
( v3_struct_0(sK19)
| ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK22,sK19)
| ~ m1_group_2(sK21,sK19) ),
inference(resolution,[],[f27651,f19414]) ).
fof(f27653,plain,
( ~ v3_group_1(sK19)
| ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK22,sK19)
| ~ m1_group_2(sK21,sK19) ),
inference(forward_subsumption_resolution,[],[f27652,f19404]) ).
fof(f27654,plain,
( ~ v4_group_1(sK19)
| ~ l1_group_1(sK19)
| k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK22,sK19)
| ~ m1_group_2(sK21,sK19) ),
inference(forward_subsumption_resolution,[],[f27653,f19403]) ).
fof(f27655,plain,
( ~ l1_group_1(sK19)
| k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK22,sK19)
| ~ m1_group_2(sK21,sK19) ),
inference(forward_subsumption_resolution,[],[f27654,f19402]) ).
fof(f27656,plain,
( k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK22,sK19)
| ~ m1_group_2(sK21,sK19) ),
inference(forward_subsumption_resolution,[],[f27655,f19401]) ).
fof(f27657,plain,
( k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24)
| ~ m1_group_2(sK21,sK19) ),
inference(forward_subsumption_resolution,[],[f27656,f19410]) ).
fof(f27658,plain,
k8_group_4(sK19,sK21,sK22) = k5_group_4(sK19,sK24),
inference(forward_subsumption_resolution,[],[f27657,f19409]) ).
fof(f27659,plain,
k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k5_group_4(sK19,sK24))) != k2_funct_2(u1_struct_0(sK19),u1_struct_0(sK20),sK23,u1_struct_0(k5_group_4(sK19,sK24))),
inference(superposition,[],[f19416,f27658]) ).
fof(f27663,plain,
$false,
inference(trivial_inequality_removal,[],[f27659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP640+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.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 10:21:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.15/3.44 % (3785696)Detected formulas, will run a generic FOF schedule.
% 14.15/3.44 % (3785707)dis-21_1_sil=8000:lcm=predicate:random_seed=1514166679: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)
% 14.15/3.44 % (3785706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3322138005:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 14.15/3.44 % (3785705)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3154769382:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 14.15/3.44 % (3785703)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=2452427020:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 14.15/3.44 % (3785704)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3369474275:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 14.15/3.44 % (3785701)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=1195470602:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 14.15/3.44 % (3785702)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=1600114522:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 14.15/3.44 % (3785707)Instruction limit reached!
% 14.15/3.44 % (3785707)------------------------------
% 14.15/3.44 % (3785707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/3.44 % (3785707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/3.44 % (3785707)CaDiCaL version: 2.1.3
% 14.15/3.44 % (3785707)Termination reason: Instruction limit
% 14.15/3.44 % (3785707)Termination phase: Preprocessing 1
% 14.15/3.44 % (3785707)Time elapsed: 0.057 s
% 14.15/3.44 % (3785707)Peak memory usage: 104 MB
% 14.15/3.44 % (3785707)Instructions burned: 130 (million)
% 14.15/3.44 % (3785706)Instruction limit reached!
% 14.15/3.44 % (3785706)------------------------------
% 14.15/3.44 % (3785706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/3.44 % (3785706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/3.44 % (3785706)CaDiCaL version: 2.1.3
% 14.15/3.44 % (3785706)Termination reason: Instruction limit
% 14.15/3.44 % (3785706)Termination phase: Property scanning
% 14.15/3.44 % (3785706)Time elapsed: 0.061 s
% 14.15/3.44 % (3785706)Peak memory usage: 103 MB
% 14.15/3.44 % (3785706)Instructions burned: 140 (million)
% 14.15/3.44 % (3785704)Instruction limit reached!
% 14.15/3.44 % (3785704)------------------------------
% 14.15/3.44 % (3785704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/3.44 % (3785704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/3.44 % (3785704)CaDiCaL version: 2.1.3
% 14.15/3.44 % (3785704)Termination reason: Instruction limit
% 14.15/3.44 % (3785704)Termination phase: Saturation
% 14.15/3.44 % (3785704)Time elapsed: 0.086 s
% 14.15/3.44 % (3785704)Peak memory usage: 108 MB
% 14.15/3.44 % (3785704)Instructions burned: 110 (million)
% 14.15/3.44 % (3785705)Instruction limit reached!
% 14.15/3.44 % (3785705)------------------------------
% 14.15/3.44 % (3785705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/3.44 % (3785705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/3.44 % (3785705)CaDiCaL version: 2.1.3
% 14.15/3.44 % (3785705)Termination reason: Instruction limit
% 14.15/3.44 % (3785705)Termination phase: Property scanning
% 14.15/3.44 % (3785705)Time elapsed: 0.099 s
% 14.15/3.44 % (3785705)Peak memory usage: 106 MB
% 14.15/3.44 % (3785705)Instructions burned: 121 (million)
% 14.15/3.44 % (3785715)lrs+10_1_sil=8000:sp=occurrence:random_seed=671285805:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.15/3.44 % (3785716)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3246457489:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.15/3.44 % (3785717)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2323725090:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.15/3.44 % (3785718)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=2967240249:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 14.15/3.44 % (3785715)Instruction limit reached!
% 14.75/3.55 % (3785715)------------------------------
% 14.75/3.55 % (3785715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785715)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785715)Termination reason: Instruction limit
% 14.75/3.55 % (3785715)Termination phase: Saturation
% 14.75/3.55 % (3785715)Time elapsed: 0.112 s
% 14.75/3.55 % (3785715)Peak memory usage: 111 MB
% 14.75/3.55 % (3785715)Instructions burned: 285 (million)
% 14.75/3.55 % (3785716)Instruction limit reached!
% 14.75/3.55 % (3785716)------------------------------
% 14.75/3.55 % (3785716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785716)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785716)Termination reason: Instruction limit
% 14.75/3.55 % (3785716)Termination phase: Property scanning
% 14.75/3.55 % (3785716)Time elapsed: 0.068 s
% 14.75/3.55 % (3785716)Peak memory usage: 103 MB
% 14.75/3.55 % (3785716)Instructions burned: 158 (million)
% 14.75/3.55 % (3785723)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=175618617:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 14.75/3.55 % (3785718)Instruction limit reached!
% 14.75/3.55 % (3785718)------------------------------
% 14.75/3.55 % (3785718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785718)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785718)Termination reason: Instruction limit
% 14.75/3.55 % (3785718)Termination phase: SInE selection
% 14.75/3.55 % (3785718)Time elapsed: 0.126 s
% 14.75/3.55 % (3785718)Peak memory usage: 104 MB
% 14.75/3.55 % (3785718)Instructions burned: 249 (million)
% 14.75/3.55 % (3785724)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=937811104:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 14.75/3.55 % (3785717)Instruction limit reached!
% 14.75/3.55 % (3785717)------------------------------
% 14.75/3.55 % (3785717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785717)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785717)Termination reason: Instruction limit
% 14.75/3.55 % (3785717)Termination phase: Saturation
% 14.75/3.55 % (3785717)Time elapsed: 0.236 s
% 14.75/3.55 % (3785717)Peak memory usage: 111 MB
% 14.75/3.55 % (3785717)Instructions burned: 326 (million)
% 14.75/3.55 % (3785723)Instruction limit reached!
% 14.75/3.55 % (3785723)------------------------------
% 14.75/3.55 % (3785723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785723)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785723)Termination reason: Instruction limit
% 14.75/3.55 % (3785723)Termination phase: Function definition elimination
% 14.75/3.55 % (3785723)Time elapsed: 0.121 s
% 14.75/3.55 % (3785723)Peak memory usage: 110 MB
% 14.75/3.55 % (3785723)Instructions burned: 296 (million)
% 14.75/3.55 % (3785726)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4204252054:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 14.75/3.55 % (3785729)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=412479053:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 14.75/3.55 % (3785729)Instruction limit reached!
% 14.75/3.55 % (3785729)------------------------------
% 14.75/3.55 % (3785729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785729)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785729)Termination reason: Instruction limit
% 14.75/3.55 % (3785729)Termination phase: Property scanning
% 14.75/3.55 % (3785729)Time elapsed: 0.027 s
% 14.75/3.55 % (3785729)Peak memory usage: 103 MB
% 14.75/3.55 % (3785729)Instructions burned: 117 (million)
% 14.75/3.55 % (3785728)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1501746521:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 14.75/3.55 % (3785726)Instruction limit reached!
% 14.75/3.55 % (3785726)------------------------------
% 14.75/3.55 % (3785726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785726)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785726)Termination reason: Instruction limit
% 14.75/3.55 % (3785726)Termination phase: Preprocessing 2
% 14.75/3.55 % (3785726)Time elapsed: 0.103 s
% 14.75/3.55 % (3785726)Peak memory usage: 106 MB
% 14.75/3.55 % (3785726)Instructions burned: 113 (million)
% 14.75/3.55 % (3785732)lrs+10_1_sil=8000:sp=occurrence:random_seed=4232313697:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 14.75/3.55 % (3785728)Instruction limit reached!
% 14.75/3.55 % (3785728)------------------------------
% 14.75/3.55 % (3785728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785728)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785728)Termination reason: Instruction limit
% 14.75/3.55 % (3785728)Termination phase: Preprocessing 2
% 14.75/3.55 % (3785728)Time elapsed: 0.102 s
% 14.75/3.55 % (3785728)Peak memory usage: 106 MB
% 14.75/3.55 % (3785728)Instructions burned: 128 (million)
% 14.75/3.55 % (3785734)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4131290357:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 14.75/3.55 % (3785736)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1279732642:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 14.75/3.55 % (3785732)Instruction limit reached!
% 14.75/3.55 % (3785732)------------------------------
% 14.75/3.55 % (3785732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785732)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785732)Termination reason: Instruction limit
% 14.75/3.55 % (3785732)Termination phase: Saturation
% 14.75/3.55 % (3785732)Time elapsed: 0.304 s
% 14.75/3.55 % (3785732)Peak memory usage: 122 MB
% 14.75/3.55 % (3785732)Instructions burned: 907 (million)
% 14.75/3.55 % (3785734)Instruction limit reached!
% 14.75/3.55 % (3785734)------------------------------
% 14.75/3.55 % (3785734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785734)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785734)Termination reason: Instruction limit
% 14.75/3.55 % (3785734)Termination phase: Saturation
% 14.75/3.55 % (3785734)Time elapsed: 0.294 s
% 14.75/3.55 % (3785734)Peak memory usage: 112 MB
% 14.75/3.55 % (3785734)Instructions burned: 438 (million)
% 14.75/3.55 % (3785739)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4026863536:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 14.75/3.55 % (3785740)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3209727474:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 14.75/3.55 % (3785739)Instruction limit reached!
% 14.75/3.55 % (3785739)------------------------------
% 14.75/3.55 % (3785739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785739)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785739)Termination reason: Instruction limit
% 14.75/3.55 % (3785739)Termination phase: Property scanning
% 14.75/3.55 % (3785739)Time elapsed: 0.106 s
% 14.75/3.55 % (3785739)Peak memory usage: 107 MB
% 14.75/3.55 % (3785739)Instructions burned: 134 (million)
% 14.75/3.55 % (3785743)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2405574182:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 14.75/3.55 % (3785740)Instruction limit reached!
% 14.75/3.55 % (3785740)------------------------------
% 14.75/3.55 % (3785740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785740)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785740)Termination reason: Instruction limit
% 14.75/3.55 % (3785740)Termination phase: Property scanning
% 14.75/3.55 % (3785740)Time elapsed: 0.428 s
% 14.75/3.55 % (3785740)Peak memory usage: 128 MB
% 14.75/3.55 % (3785740)Instructions burned: 594 (million)
% 14.75/3.55 % (3785702)First to succeed.
% 14.75/3.55 % (3785702)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3785696"
% 14.75/3.55 % (3785745)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=2945662707:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 14.75/3.55 % (3785745)Instruction limit reached!
% 14.75/3.55 % (3785745)------------------------------
% 14.75/3.55 % (3785745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785745)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785745)Termination reason: Instruction limit
% 14.75/3.55 % (3785745)Termination phase: Property scanning
% 14.75/3.55 % (3785745)Time elapsed: 0.054 s
% 14.75/3.55 % (3785745)Peak memory usage: 103 MB
% 14.75/3.55 % (3785745)Instructions burned: 125 (million)
% 14.75/3.55 % (3785724)Instruction limit reached!
% 14.75/3.55 % (3785724)------------------------------
% 14.75/3.55 % (3785724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/3.55 % (3785724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/3.55 % (3785724)CaDiCaL version: 2.1.3
% 14.75/3.55 % (3785724)Termination reason: Instruction limit
% 14.75/3.55 % (3785724)Termination phase: Saturation
% 14.75/3.55 % (3785724)Time elapsed: 1.414 s
% 14.75/3.55 % (3785724)Peak memory usage: 229 MB
% 14.75/3.55 % (3785724)Instructions burned: 2351 (million)
% 14.75/3.55 % (3785702)Refutation found. Thanks to Tanya!
% 14.75/3.55 % SZS status Theorem for theBenchmark
% 14.75/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 15.36/3.75 % (3785702)------------------------------
% 15.36/3.75 % (3785702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/3.75 % (3785702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/3.75 % (3785702)CaDiCaL version: 2.1.3
% 15.36/3.75 % (3785702)Termination reason: Refutation
% 15.36/3.75 % (3785702)Time elapsed: 1.665 s
% 15.36/3.75 % (3785702)Peak memory usage: 242 MB
% 15.36/3.75 % (3785702)Instructions burned: 3639 (million)
% 15.36/3.75 % (3785702)------------------------------
% 15.36/3.75 % (3785702)------------------------------
% 15.36/3.75 % (3785696)Success in time 2.696 s
% 15.36/3.75 % Vampire exiting
%------------------------------------------------------------------------------