%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP638+2 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:11 AM UTC 2026
% Result : Theorem 13.35s 3.60s
% Output : Refutation 18.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 131 ( 34 unt; 5 def)
% Number of atoms : 527 ( 28 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 633 ( 237 ~; 246 |; 108 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 173 ( 0 sgn 159 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f888,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1892,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_funct_2) ).
fof(f4388,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(f4410,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_group_2) ).
fof(f4540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f5350,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f5649,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_latsubgr) ).
fof(f5650,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ! [X6] :
( m1_group_2(X6,X0)
=> ( ( u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4) )
=> m1_group_6(X5,X0,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5649]) ).
fof(f5702,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4)
& m1_group_2(X6,X0) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ 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,[],[f5650]) ).
fof(f5703,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X0,X6)
& u1_struct_0(X5) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& u1_struct_0(X6) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& m1_group_6(X3,X1,X4)
& m1_group_2(X6,X0) )
& m1_group_2(X5,X0) )
& m1_group_2(X4,X1) )
& m1_group_2(X3,X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ 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,[],[f5702]) ).
fof(f5740,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4540]) ).
fof(f5741,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5740]) ).
fof(f5742,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4410]) ).
fof(f5743,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5742]) ).
fof(f5934,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1892]) ).
fof(f5935,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f5934]) ).
fof(f5954,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f5350]) ).
fof(f5955,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f5954]) ).
fof(f6048,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(f6049,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(f6498,plain,
! [X0,X1,X2] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f888]) ).
fof(f6499,plain,
! [X0,X1,X2] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f6498]) ).
fof(f6779,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4388]) ).
fof(f6780,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f6779]) ).
fof(f8519,plain,
( ~ m1_group_6(sK16,sK11,sK17)
& u1_struct_0(sK16) = k3_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(sK14))
& u1_struct_0(sK17) = k3_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(sK15))
& m1_group_6(sK14,sK12,sK15)
& m1_group_2(sK17,sK11)
& m1_group_2(sK16,sK11)
& m1_group_2(sK15,sK12)
& m1_group_2(sK14,sK12)
& v1_funct_1(sK13)
& v1_funct_2(sK13,u1_struct_0(sK11),u1_struct_0(sK12))
& v1_group_6(sK13,sK11,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,sK15,sK16,sK17]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15),skolemize(X5,sK16),skolemize(X6,sK17)],[f5703]) ).
fof(f8553,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(f8590,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(nnf_transformation,[],[f5955]) ).
fof(f8836,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f6780]) ).
fof(f8837,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f8836]) ).
fof(f9368,plain,
l1_group_1(sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9369,plain,
v4_group_1(sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9370,plain,
v3_group_1(sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9371,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9372,plain,
l1_group_1(sK12),
inference(cnf_transformation,[],[f8519]) ).
fof(f9373,plain,
v4_group_1(sK12),
inference(cnf_transformation,[],[f8519]) ).
fof(f9374,plain,
v3_group_1(sK12),
inference(cnf_transformation,[],[f8519]) ).
fof(f9375,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f8519]) ).
fof(f9376,plain,
m2_relset_1(sK13,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f8519]) ).
fof(f9379,plain,
v1_funct_1(sK13),
inference(cnf_transformation,[],[f8519]) ).
fof(f9381,plain,
m1_group_2(sK15,sK12),
inference(cnf_transformation,[],[f8519]) ).
fof(f9382,plain,
m1_group_2(sK16,sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9383,plain,
m1_group_2(sK17,sK11),
inference(cnf_transformation,[],[f8519]) ).
fof(f9384,plain,
m1_group_6(sK14,sK12,sK15),
inference(cnf_transformation,[],[f8519]) ).
fof(f9385,plain,
u1_struct_0(sK17) = k3_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(sK15)),
inference(cnf_transformation,[],[f8519]) ).
fof(f9386,plain,
u1_struct_0(sK16) = k3_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,u1_struct_0(sK14)),
inference(cnf_transformation,[],[f8519]) ).
fof(f9387,plain,
~ m1_group_6(sK16,sK11,sK17),
inference(cnf_transformation,[],[f8519]) ).
fof(f9458,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5741]) ).
fof(f9459,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5741]) ).
fof(f9460,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5741]) ).
fof(f9461,plain,
! [X2,X0,X1] :
( ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| m1_group_2(X1,X2)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5743]) ).
fof(f9473,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8553]) ).
fof(f9697,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| k10_relat_1(X2,X3) = k3_funct_2(X0,X1,X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5935]) ).
fof(f9716,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(X2,X1)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f8590]) ).
fof(f9717,plain,
! [X2,X0,X1] :
( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f8590]) ).
fof(f9835,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,[],[f6048]) ).
fof(f9836,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6049]) ).
fof(f10390,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f6499]) ).
fof(f10807,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8837]) ).
fof(f14511,plain,
( ~ m1_group_2(sK16,sK17)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK17,sK11) ),
inference(resolution,[],[f9717,f9387]) ).
fof(f14512,plain,
( ~ m1_group_2(sK16,sK17)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK17,sK11) ),
inference(forward_subsumption_resolution,[],[f14511,f9371]) ).
fof(f14513,plain,
( ~ m1_group_2(sK16,sK17)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK17,sK11) ),
inference(forward_subsumption_resolution,[],[f14512,f9370]) ).
fof(f14514,plain,
( ~ m1_group_2(sK16,sK17)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK17,sK11) ),
inference(forward_subsumption_resolution,[],[f14513,f9369]) ).
fof(f14515,plain,
( ~ m1_group_2(sK16,sK17)
| ~ m1_group_2(sK17,sK11) ),
inference(forward_subsumption_resolution,[],[f14514,f9368]) ).
fof(f14516,plain,
~ m1_group_2(sK16,sK17),
inference(forward_subsumption_resolution,[],[f14515,f9383]) ).
fof(f14530,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK12,X1)
| v3_struct_0(sK12)
| ~ v3_group_1(sK12)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK12)
| ~ m1_group_2(X1,sK12) ),
inference(resolution,[],[f9716,f9373]) ).
fof(f14531,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK12,X1)
| ~ v3_group_1(sK12)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK12)
| ~ m1_group_2(X1,sK12) ),
inference(forward_subsumption_resolution,[],[f14530,f9375]) ).
fof(f14533,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK12,X1)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK12)
| ~ m1_group_2(X1,sK12) ),
inference(forward_subsumption_resolution,[],[f14531,f9374]) ).
fof(f14535,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK12)
| m1_group_2(X0,X1)
| ~ m1_group_6(X0,sK12,X1) ),
inference(forward_subsumption_resolution,[],[f14533,f9372]) ).
fof(f14537,plain,
! [X0] :
( ~ m1_group_6(X0,sK12,sK15)
| m1_group_2(X0,sK15) ),
inference(resolution,[],[f14535,f9381]) ).
fof(f14542,plain,
m1_group_2(sK14,sK15),
inference(resolution,[],[f14537,f9384]) ).
fof(f14545,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK13,X1,X2)
| k10_relat_1(sK13,X0) = k3_funct_2(X1,X2,sK13,X0) ),
inference(resolution,[],[f9697,f9379]) ).
fof(f14546,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(sK13,X1,X2)
| k10_relat_1(sK13,X0) = k3_funct_2(X1,X2,sK13,X0) ),
inference(resolution,[],[f14545,f9473]) ).
fof(f14609,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| v3_struct_0(sK12)
| l1_group_1(X0)
| ~ l1_group_1(sK12) ),
inference(resolution,[],[f9458,f9374]) ).
fof(f14610,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| l1_group_1(X0)
| ~ l1_group_1(sK12) ),
inference(forward_subsumption_resolution,[],[f14609,f9375]) ).
fof(f14612,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f14610,f9372]) ).
fof(f14614,plain,
l1_group_1(sK15),
inference(resolution,[],[f14612,f9381]) ).
fof(f14621,plain,
! [X0] : k10_relat_1(sK13,X0) = k3_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK13,X0),
inference(resolution,[],[f14546,f9376]) ).
fof(f14624,plain,
u1_struct_0(sK16) = k10_relat_1(sK13,u1_struct_0(sK14)),
inference(superposition,[],[f9386,f14621]) ).
fof(f14625,plain,
u1_struct_0(sK17) = k10_relat_1(sK13,u1_struct_0(sK15)),
inference(superposition,[],[f9385,f14621]) ).
fof(f14673,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| v3_struct_0(sK12)
| v3_group_1(X0)
| ~ l1_group_1(sK12) ),
inference(resolution,[],[f9459,f9374]) ).
fof(f14674,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| v3_group_1(X0)
| ~ l1_group_1(sK12) ),
inference(forward_subsumption_resolution,[],[f14673,f9375]) ).
fof(f14676,plain,
! [X0] :
( ~ m1_group_2(X0,sK12)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f14674,f9372]) ).
fof(f14678,plain,
v3_group_1(sK15),
inference(resolution,[],[f14676,f9381]) ).
fof(f14680,plain,
! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_struct_0(sK15)
| v3_group_1(X0)
| ~ l1_group_1(sK15) ),
inference(resolution,[],[f14678,f9459]) ).
fof(f14681,plain,
! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_struct_0(sK15)
| l1_group_1(X0)
| ~ l1_group_1(sK15) ),
inference(resolution,[],[f14678,f9458]) ).
fof(f14682,plain,
! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_struct_0(sK15)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f14681,f14614]) ).
fof(f14683,plain,
! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_struct_0(sK15)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f14680,f14614]) ).
fof(f14685,definition,
( spl499_15
<=> v3_struct_0(sK15) ),
introduced(definition,[new_symbols(definition,[spl499_15])],[avatar_definition]) ).
fof(f14686,plain,
( v3_struct_0(sK15)
| ~ spl499_15 ),
inference(avatar_component_clause,[],[f14685]) ).
fof(f14688,definition,
( spl499_16
<=> ! [X0] :
( ~ m1_group_2(X0,sK15)
| l1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl499_16])],[avatar_definition]) ).
fof(f14689,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK15)
| l1_group_1(X0) )
| ~ spl499_16 ),
inference(avatar_component_clause,[],[f14688]) ).
fof(f14690,plain,
( spl499_15
| spl499_16 ),
inference(avatar_split_clause,[],[f14682,f14688,f14685]) ).
fof(f14692,definition,
( spl499_17
<=> ! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl499_17])],[avatar_definition]) ).
fof(f14693,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK15)
| v3_group_1(X0) )
| ~ spl499_17 ),
inference(avatar_component_clause,[],[f14692]) ).
fof(f14694,plain,
( spl499_15
| spl499_17 ),
inference(avatar_split_clause,[],[f14683,f14692,f14685]) ).
fof(f14745,plain,
( $false
| ~ spl499_15 ),
inference(unit_resulting_resolution,[],[f9460,f9372,f9374,f9375,f9381,f14686]) ).
fof(f14747,plain,
~ spl499_15,
inference(avatar_contradiction_clause,[],[f14745]) ).
fof(f15951,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f9836,f9835]) ).
fof(f15952,plain,
v1_relat_1(sK13),
inference(resolution,[],[f15951,f9376]) ).
fof(f18103,plain,
! [X0,X1] :
( r1_tarski(k10_relat_1(sK13,X0),k10_relat_1(sK13,X1))
| ~ r1_tarski(X0,X1) ),
inference(resolution,[],[f10390,f15952]) ).
fof(f18107,plain,
! [X0] :
( r1_tarski(k10_relat_1(sK13,X0),u1_struct_0(sK17))
| ~ r1_tarski(X0,u1_struct_0(sK15)) ),
inference(superposition,[],[f18103,f14625]) ).
fof(f18108,plain,
( r1_tarski(u1_struct_0(sK16),u1_struct_0(sK17))
| ~ r1_tarski(u1_struct_0(sK14),u1_struct_0(sK15)) ),
inference(superposition,[],[f18107,f14624]) ).
fof(f18111,definition,
( spl499_377
<=> r1_tarski(u1_struct_0(sK14),u1_struct_0(sK15)) ),
introduced(definition,[new_symbols(definition,[spl499_377])],[avatar_definition]) ).
fof(f18112,plain,
( ~ r1_tarski(u1_struct_0(sK14),u1_struct_0(sK15))
| spl499_377 ),
inference(avatar_component_clause,[],[f18111]) ).
fof(f18114,definition,
( spl499_378
<=> r1_tarski(u1_struct_0(sK16),u1_struct_0(sK17)) ),
introduced(definition,[new_symbols(definition,[spl499_378])],[avatar_definition]) ).
fof(f18115,plain,
( r1_tarski(u1_struct_0(sK16),u1_struct_0(sK17))
| ~ spl499_378 ),
inference(avatar_component_clause,[],[f18114]) ).
fof(f18116,plain,
( ~ spl499_377
| spl499_378 ),
inference(avatar_split_clause,[],[f18108,f18114,f18111]) ).
fof(f18117,plain,
( ~ m1_group_2(sK14,sK15)
| v3_struct_0(sK14)
| ~ v3_group_1(sK14)
| ~ l1_group_1(sK14)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15)
| spl499_377 ),
inference(resolution,[],[f18112,f10807]) ).
fof(f18118,plain,
( ~ m1_group_2(sK14,sK15)
| v3_struct_0(sK14)
| ~ l1_group_1(sK14)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18117,f14693]) ).
fof(f18119,plain,
( ~ m1_group_2(sK14,sK15)
| v3_struct_0(sK14)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18118,f14689]) ).
fof(f18120,plain,
( ~ m1_group_2(sK14,sK15)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18119,f9460]) ).
fof(f18121,plain,
( v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15)
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18120,f14542]) ).
fof(f18122,plain,
( v3_struct_0(sK15)
| ~ l1_group_1(sK15)
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18121,f14678]) ).
fof(f18123,plain,
( v3_struct_0(sK15)
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(forward_subsumption_resolution,[],[f18122,f14614]) ).
fof(f18124,plain,
( spl499_15
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(avatar_split_clause,[],[f18123,f18111,f14692,f14688,f14685]) ).
fof(f18125,plain,
( $false
| ~ spl499_378 ),
inference(unit_resulting_resolution,[],[f9461,f9368,f9369,f9370,f9371,f9382,f9383,f14516,f18115]) ).
fof(f18127,plain,
~ spl499_378,
inference(avatar_contradiction_clause,[],[f18125]) ).
cnf(s12,plain,
( spl499_15
| spl499_16 ),
inference(sat_conversion,[],[f14690]) ).
cnf(s13,plain,
( spl499_15
| spl499_17 ),
inference(sat_conversion,[],[f14694]) ).
cnf(s21,plain,
~ spl499_15,
inference(sat_conversion,[],[f14747]) ).
cnf(s293,plain,
( ~ spl499_377
| spl499_378 ),
inference(sat_conversion,[],[f18116]) ).
cnf(s294,plain,
( spl499_15
| ~ spl499_16
| ~ spl499_17
| spl499_377 ),
inference(sat_conversion,[],[f18124]) ).
cnf(s295,plain,
~ spl499_378,
inference(sat_conversion,[],[f18127]) ).
cnf(s296,plain,
~ spl499_377,
inference(rat,[],[s293,s295]) ).
cnf(s469,plain,
spl499_17,
inference(rat,[],[s13,s21]) ).
cnf(s470,plain,
~ spl499_16,
inference(rat,[],[s294,s296,s21,s469]) ).
cnf(s471,plain,
$false,
inference(rat,[],[s12,s470,s21]) ).
fof(f18129,plain,
$false,
inference(avatar_sat_refutation,[],[s471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP638+2 : 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 : n004.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 10:20:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 15.46/3.22 % (3296889)Detected formulas, will run a generic FOF schedule.
% 15.46/3.22 % (3296896)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=2693471427:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 15.46/3.22 % (3296898)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=484464582:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 15.46/3.22 % (3296899)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1752241023:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 15.46/3.22 % (3296894)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=1451815243:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 15.46/3.22 % (3296895)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=1598768942:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 15.46/3.22 % (3296897)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1446599517:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 15.46/3.22 % (3296900)dis-21_1_sil=8000:lcm=predicate:random_seed=2407928100: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)
% 15.46/3.22 % (3296897)Instruction limit reached!
% 15.46/3.22 % (3296897)------------------------------
% 15.46/3.22 % (3296897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.46/3.22 % (3296897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/3.22 % (3296897)CaDiCaL version: 2.1.3
% 15.46/3.22 % (3296897)Termination reason: Instruction limit
% 15.46/3.22 % (3296897)Termination phase: Saturation
% 15.46/3.22 % (3296897)Time elapsed: 0.069 s
% 15.46/3.22 % (3296897)Peak memory usage: 96 MB
% 15.46/3.22 % (3296897)Instructions burned: 110 (million)
% 15.46/3.22 % (3296898)Instruction limit reached!
% 15.46/3.22 % (3296898)------------------------------
% 15.46/3.22 % (3296898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.46/3.22 % (3296898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/3.22 % (3296898)CaDiCaL version: 2.1.3
% 15.46/3.22 % (3296898)Termination reason: Instruction limit
% 15.46/3.22 % (3296898)Termination phase: Property scanning
% 15.46/3.22 % (3296898)Time elapsed: 0.075 s
% 15.46/3.22 % (3296898)Peak memory usage: 95 MB
% 15.46/3.22 % (3296898)Instructions burned: 120 (million)
% 15.46/3.22 % (3296899)Instruction limit reached!
% 15.46/3.22 % (3296899)------------------------------
% 15.46/3.22 % (3296899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.46/3.22 % (3296899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/3.22 % (3296899)CaDiCaL version: 2.1.3
% 15.46/3.22 % (3296899)Termination reason: Instruction limit
% 15.46/3.22 % (3296899)Termination phase: Preprocessing 2
% 15.46/3.22 % (3296899)Time elapsed: 0.083 s
% 15.46/3.22 % (3296899)Peak memory usage: 93 MB
% 15.46/3.22 % (3296899)Instructions burned: 139 (million)
% 15.46/3.22 % (3296900)Instruction limit reached!
% 15.46/3.22 % (3296900)------------------------------
% 15.46/3.22 % (3296900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.46/3.22 % (3296900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.46/3.22 % (3296900)CaDiCaL version: 2.1.3
% 15.46/3.22 % (3296900)Termination reason: Instruction limit
% 15.46/3.22 % (3296900)Termination phase: Preprocessing 3
% 15.46/3.22 % (3296900)Time elapsed: 0.097 s
% 15.46/3.22 % (3296900)Peak memory usage: 97 MB
% 15.46/3.22 % (3296900)Instructions burned: 130 (million)
% 15.46/3.22 % (3296908)lrs+10_1_sil=8000:sp=occurrence:random_seed=3157875880:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 15.46/3.22 % (3296910)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2223208210:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.46/3.22 % (3296909)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3527580109:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 15.46/3.22 % (3296911)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=980992595:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 15.46/3.22 % (3296909)Instruction limit reached!
% 13.35/3.60 % (3296909)------------------------------
% 13.35/3.60 % (3296909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296909)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296909)Termination reason: Instruction limit
% 13.35/3.60 % (3296909)Termination phase: Saturation
% 13.35/3.60 % (3296909)Time elapsed: 0.084 s
% 13.35/3.60 % (3296909)Peak memory usage: 96 MB
% 13.35/3.60 % (3296909)Instructions burned: 157 (million)
% 13.35/3.60 % (3296908)Instruction limit reached!
% 13.35/3.60 % (3296908)------------------------------
% 13.35/3.60 % (3296908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296908)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296908)Termination reason: Instruction limit
% 13.35/3.60 % (3296908)Termination phase: Saturation
% 13.35/3.60 % (3296908)Time elapsed: 0.184 s
% 13.35/3.60 % (3296908)Peak memory usage: 100 MB
% 13.35/3.60 % (3296908)Instructions burned: 286 (million)
% 13.35/3.60 % (3296911)Instruction limit reached!
% 13.35/3.60 % (3296911)------------------------------
% 13.35/3.60 % (3296911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296911)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296911)Termination reason: Instruction limit
% 13.35/3.60 % (3296911)Termination phase: Preprocessing 3
% 13.35/3.60 % (3296911)Time elapsed: 0.148 s
% 13.35/3.60 % (3296911)Peak memory usage: 100 MB
% 13.35/3.60 % (3296911)Instructions burned: 249 (million)
% 13.35/3.60 % (3296910)Instruction limit reached!
% 13.35/3.60 % (3296910)------------------------------
% 13.35/3.60 % (3296910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296910)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296910)Termination reason: Instruction limit
% 13.35/3.60 % (3296910)Termination phase: Saturation
% 13.35/3.60 % (3296910)Time elapsed: 0.199 s
% 13.35/3.60 % (3296910)Peak memory usage: 97 MB
% 13.35/3.60 % (3296910)Instructions burned: 325 (million)
% 13.35/3.60 % (3296916)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1362044134:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 13.35/3.60 % (3296917)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2962505923:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.35/3.60 % (3296918)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3173991342:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.35/3.60 % (3296919)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=663396570:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.35/3.60 % (3296916)Instruction limit reached!
% 13.35/3.60 % (3296916)------------------------------
% 13.35/3.60 % (3296916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296916)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296916)Termination reason: Instruction limit
% 13.35/3.60 % (3296916)Termination phase: Saturation
% 13.35/3.60 % (3296916)Time elapsed: 0.169 s
% 13.35/3.60 % (3296916)Peak memory usage: 99 MB
% 13.35/3.60 % (3296916)Instructions burned: 294 (million)
% 13.35/3.60 % (3296918)Instruction limit reached!
% 13.35/3.60 % (3296918)------------------------------
% 13.35/3.60 % (3296918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296918)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296918)Termination reason: Instruction limit
% 13.35/3.60 % (3296918)Termination phase: Property scanning
% 13.35/3.60 % (3296918)Time elapsed: 0.075 s
% 13.35/3.60 % (3296918)Peak memory usage: 95 MB
% 13.35/3.60 % (3296918)Instructions burned: 114 (million)
% 13.35/3.60 % (3296919)Instruction limit reached!
% 13.35/3.60 % (3296919)------------------------------
% 13.35/3.60 % (3296919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296919)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296919)Termination reason: Instruction limit
% 13.35/3.60 % (3296919)Termination phase: Preprocessing 3
% 13.35/3.60 % (3296919)Time elapsed: 0.087 s
% 13.35/3.60 % (3296919)Peak memory usage: 99 MB
% 13.35/3.60 % (3296919)Instructions burned: 128 (million)
% 13.35/3.60 % (3296925)lrs+10_1_sil=8000:sp=occurrence:random_seed=2117814881:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.35/3.60 % (3296924)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2343471356:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.35/3.60 % (3296926)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=723238516:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.35/3.60 % (3296924)Instruction limit reached!
% 13.35/3.60 % (3296924)------------------------------
% 13.35/3.60 % (3296924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296924)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296924)Termination reason: Instruction limit
% 13.35/3.60 % (3296924)Termination phase: Property scanning
% 13.35/3.60 % (3296924)Time elapsed: 0.047 s
% 13.35/3.60 % (3296924)Peak memory usage: 91 MB
% 13.35/3.60 % (3296924)Instructions burned: 114 (million)
% 13.35/3.60 % (3296930)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1505432116:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 13.35/3.60 % (3296926)Instruction limit reached!
% 13.35/3.60 % (3296926)------------------------------
% 13.35/3.60 % (3296926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296926)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296926)Termination reason: Instruction limit
% 13.35/3.60 % (3296926)Termination phase: Saturation
% 13.35/3.60 % (3296926)Time elapsed: 0.250 s
% 13.35/3.60 % (3296926)Peak memory usage: 98 MB
% 13.35/3.60 % (3296926)Instructions burned: 438 (million)
% 13.35/3.60 % (3296932)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=784441881:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 13.35/3.60 % (3296932)Instruction limit reached!
% 13.35/3.60 % (3296932)------------------------------
% 13.35/3.60 % (3296932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296932)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296932)Termination reason: Instruction limit
% 13.35/3.60 % (3296932)Termination phase: Saturation
% 13.35/3.60 % (3296932)Time elapsed: 0.090 s
% 13.35/3.60 % (3296932)Peak memory usage: 98 MB
% 13.35/3.60 % (3296932)Instructions burned: 135 (million)
% 13.35/3.60 % (3296925)Instruction limit reached!
% 13.35/3.60 % (3296925)------------------------------
% 13.35/3.60 % (3296925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296925)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296925)Termination reason: Instruction limit
% 13.35/3.60 % (3296925)Termination phase: Saturation
% 13.35/3.60 % (3296925)Time elapsed: 0.587 s
% 13.35/3.60 % (3296925)Peak memory usage: 109 MB
% 13.35/3.60 % (3296925)Instructions burned: 907 (million)
% 13.35/3.60 % (3296934)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=836509091:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 13.35/3.60 % (3296935)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3591723023:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 13.35/3.60 % (3296934)Instruction limit reached!
% 13.35/3.60 % (3296934)------------------------------
% 13.35/3.60 % (3296934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296934)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296934)Termination reason: Instruction limit
% 13.35/3.60 % (3296934)Termination phase: Saturation
% 13.35/3.60 % (3296934)Time elapsed: 0.300 s
% 13.35/3.60 % (3296934)Peak memory usage: 104 MB
% 13.35/3.60 % (3296934)Instructions burned: 592 (million)
% 13.35/3.60 % (3296938)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=3958579920:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 13.35/3.60 % (3296938)Instruction limit reached!
% 13.35/3.60 % (3296938)------------------------------
% 13.35/3.60 % (3296938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296938)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296938)Termination reason: Instruction limit
% 13.35/3.60 % (3296938)Termination phase: Preprocessing 1
% 13.35/3.60 % (3296938)Time elapsed: 0.076 s
% 13.35/3.60 % (3296938)Peak memory usage: 92 MB
% 13.35/3.60 % (3296938)Instructions burned: 126 (million)
% 13.35/3.60 % (3296895)First to succeed.
% 13.35/3.60 % (3296895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3296889"
% 13.35/3.60 % (3296917)Instruction limit reached!
% 13.35/3.60 % (3296917)------------------------------
% 13.35/3.60 % (3296917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296917)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296917)Termination reason: Instruction limit
% 13.35/3.60 % (3296917)Termination phase: Saturation
% 13.35/3.60 % (3296917)Time elapsed: 1.549 s
% 13.35/3.60 % (3296917)Peak memory usage: 281 MB
% 13.35/3.60 % (3296917)Instructions burned: 2352 (million)
% 13.35/3.60 % (3296940)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=293687927:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 13.35/3.60 % (3296940)Instruction limit reached!
% 13.35/3.60 % (3296940)------------------------------
% 13.35/3.60 % (3296940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.60 % (3296940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.60 % (3296940)CaDiCaL version: 2.1.3
% 13.35/3.60 % (3296940)Termination reason: Instruction limit
% 13.35/3.60 % (3296940)Termination phase: Property scanning
% 13.35/3.60 % (3296940)Time elapsed: 0.058 s
% 13.35/3.60 % (3296940)Peak memory usage: 91 MB
% 13.35/3.60 % (3296940)Instructions burned: 135 (million)
% 13.35/3.60 % (3296941)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3588790609:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 13.35/3.60 % (3296895)Refutation found. Thanks to Tanya!
% 13.35/3.60 % SZS status Theorem for theBenchmark
% 13.35/3.60 % SZS output start Proof for theBenchmark
% See solution above
% 18.61/3.80 % (3296895)------------------------------
% 18.61/3.80 % (3296895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.61/3.80 % (3296895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.80 % (3296895)CaDiCaL version: 2.1.3
% 18.61/3.80 % (3296895)Termination reason: Refutation
% 18.61/3.80 % (3296895)Time elapsed: 2.053 s
% 18.61/3.80 % (3296895)Peak memory usage: 183 MB
% 18.61/3.80 % (3296895)Instructions burned: 3297 (million)
% 18.61/3.80 % (3296895)------------------------------
% 18.61/3.80 % (3296895)------------------------------
% 18.61/3.80 % (3296889)Success in time 2.747 s
% 18.61/3.80 % Vampire exiting
%------------------------------------------------------------------------------