%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP648+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:17 AM UTC 2026
% Result : Theorem 6.75s 2.05s
% Output : Refutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 131 ( 19 unt; 2 def)
% Number of atoms : 706 ( 37 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 977 ( 402 ~; 440 |; 93 &)
% ( 13 <=>; 27 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 110 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f5670,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,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_latsubgr) ).
fof(f5671,conjecture,
! [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,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_latsubgr) ).
fof(f5672,negated_conjecture,
~ ! [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,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5671]) ).
fof(f5809,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f5672]) ).
fof(f5810,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f5809]) ).
fof(f5832,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f5670]) ).
fof(f5833,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f5832]) ).
fof(f5890,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(f5891,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,[],[f5890]) ).
fof(f5892,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(f5893,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,[],[f5892]) ).
fof(f5924,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(f5925,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,[],[f5924]) ).
fof(f6934,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(f6935,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,[],[f6934]) ).
fof(f7197,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(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(nnf_transformation,[],[f5810]) ).
fof(f7198,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f7197]) ).
fof(f7199,plain,
( ( ~ m1_group_6(sK24,sK23,sK25)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) )
& ( m1_group_6(sK24,sK23,sK25)
| r3_lattices(k11_group_4(sK23),sK26,sK27) )
& sK24 = sK26
& sK25 = sK27
& m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23)))
& m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
& m1_group_2(sK25,sK23)
& m1_group_2(sK24,sK23)
& ~ v3_struct_0(sK23)
& v3_group_1(sK23)
& v4_group_1(sK23)
& l1_group_1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25),skolemize(X3,sK26),skolemize(X4,sK27)],[f7198]) ).
fof(f7217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
& ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4) ) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(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(nnf_transformation,[],[f5833]) ).
fof(f7238,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,[],[f5925]) ).
fof(f7626,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,[],[f6935]) ).
fof(f7627,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,[],[f7626]) ).
fof(f7687,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7688,plain,
v4_group_1(sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7689,plain,
v3_group_1(sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7690,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7691,plain,
m1_group_2(sK24,sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7692,plain,
m1_group_2(sK25,sK23),
inference(cnf_transformation,[],[f7199]) ).
fof(f7693,plain,
m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23))),
inference(cnf_transformation,[],[f7199]) ).
fof(f7694,plain,
m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23))),
inference(cnf_transformation,[],[f7199]) ).
fof(f7695,plain,
sK25 = sK27,
inference(cnf_transformation,[],[f7199]) ).
fof(f7696,plain,
sK24 = sK26,
inference(cnf_transformation,[],[f7199]) ).
fof(f7697,plain,
( m1_group_6(sK24,sK23,sK25)
| r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(cnf_transformation,[],[f7199]) ).
fof(f7698,plain,
( ~ m1_group_6(sK24,sK23,sK25)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(cnf_transformation,[],[f7199]) ).
fof(f7732,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f7217]) ).
fof(f7733,plain,
! [X2,X3,X0,X1,X4] :
( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(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,[],[f7217]) ).
fof(f7798,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5891]) ).
fof(f7799,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5891]) ).
fof(f7800,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5891]) ).
fof(f7801,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,[],[f5893]) ).
fof(f7823,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,[],[f7238]) ).
fof(f7824,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,[],[f7238]) ).
fof(f9351,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,[],[f7627]) ).
fof(f9614,plain,
( ~ m1_group_6(sK26,sK23,sK27)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(definition_unfolding,[],[f7698,f7696,f7695]) ).
fof(f9615,plain,
( m1_group_6(sK26,sK23,sK27)
| r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(definition_unfolding,[],[f7697,f7696,f7695]) ).
fof(f9616,plain,
m1_group_2(sK27,sK23),
inference(definition_unfolding,[],[f7692,f7695]) ).
fof(f9617,plain,
m1_group_2(sK26,sK23),
inference(definition_unfolding,[],[f7691,f7696]) ).
fof(f9618,plain,
! [X2,X3,X0,X4] :
( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X3),u1_struct_0(X2))
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f7733]) ).
fof(f9619,plain,
! [X3,X0,X4] :
( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9618]) ).
fof(f9620,plain,
! [X2,X3,X0,X4] :
( r1_tarski(u1_struct_0(X3),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f7732]) ).
fof(f9621,plain,
! [X3,X0,X4] :
( ~ r3_lattices(k11_group_4(X0),X3,X4)
| r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9620]) ).
fof(f9840,definition,
( spl319_1
<=> r3_lattices(k11_group_4(sK23),sK26,sK27) ),
introduced(definition,[new_symbols(definition,[spl319_1])],[avatar_definition]) ).
fof(f9841,plain,
( ~ r3_lattices(k11_group_4(sK23),sK26,sK27)
| spl319_1 ),
inference(avatar_component_clause,[],[f9840]) ).
fof(f9842,plain,
( r3_lattices(k11_group_4(sK23),sK26,sK27)
| ~ spl319_1 ),
inference(avatar_component_clause,[],[f9840]) ).
fof(f9844,definition,
( spl319_2
<=> m1_group_6(sK26,sK23,sK27) ),
introduced(definition,[new_symbols(definition,[spl319_2])],[avatar_definition]) ).
fof(f9845,plain,
( ~ m1_group_6(sK26,sK23,sK27)
| spl319_2 ),
inference(avatar_component_clause,[],[f9844]) ).
fof(f9846,plain,
( m1_group_6(sK26,sK23,sK27)
| ~ spl319_2 ),
inference(avatar_component_clause,[],[f9844]) ).
fof(f9847,plain,
( spl319_1
| spl319_2 ),
inference(avatar_split_clause,[],[f9615,f9844,f9840]) ).
fof(f9848,plain,
( ~ spl319_1
| ~ spl319_2 ),
inference(avatar_split_clause,[],[f9614,f9844,f9840]) ).
fof(f9849,plain,
( l1_group_1(sK27)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f9616,f7798]) ).
fof(f9850,plain,
( v3_group_1(sK27)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f9616,f7799]) ).
fof(f9851,plain,
( ~ v3_struct_0(sK27)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f9616,f7800]) ).
fof(f9862,plain,
( ~ v3_struct_0(sK27)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9851,f7690]) ).
fof(f9863,plain,
( v3_group_1(sK27)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9850,f7690]) ).
fof(f9864,plain,
( l1_group_1(sK27)
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9849,f7690]) ).
fof(f9870,plain,
( ~ v3_struct_0(sK27)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9862,f7689]) ).
fof(f9871,plain,
( v3_group_1(sK27)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9863,f7689]) ).
fof(f9872,plain,
( l1_group_1(sK27)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f9864,f7689]) ).
fof(f9878,plain,
~ v3_struct_0(sK27),
inference(forward_subsumption_resolution,[],[f9870,f7687]) ).
fof(f9879,plain,
v3_group_1(sK27),
inference(forward_subsumption_resolution,[],[f9871,f7687]) ).
fof(f9880,plain,
l1_group_1(sK27),
inference(forward_subsumption_resolution,[],[f9872,f7687]) ).
fof(f9927,plain,
( m1_group_2(sK26,sK27)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| ~ spl319_2 ),
inference(resolution,[],[f9846,f7823]) ).
fof(f9928,plain,
( m1_group_2(sK26,sK27)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f9927,f7690]) ).
fof(f9930,plain,
( m1_group_2(sK26,sK27)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f9928,f7689]) ).
fof(f9932,plain,
( m1_group_2(sK26,sK27)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f9930,f7688]) ).
fof(f9934,plain,
( m1_group_2(sK26,sK27)
| ~ m1_group_2(sK27,sK23)
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f9932,f7687]) ).
fof(f9936,plain,
( m1_group_2(sK26,sK27)
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f9934,f9616]) ).
fof(f9995,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(resolution,[],[f9841,f9619]) ).
fof(f9998,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f9995,f7694]) ).
fof(f10000,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f9998,f7693]) ).
fof(f10026,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10000,f9616]) ).
fof(f10027,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10026,f9617]) ).
fof(f10028,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10027,f7690]) ).
fof(f10029,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10028,f7689]) ).
fof(f10030,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ l1_group_1(sK23)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10029,f7688]) ).
fof(f10031,plain,
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10030,f7687]) ).
fof(f10202,plain,
( ~ m1_group_2(sK26,sK27)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ l1_group_1(sK26)
| v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1 ),
inference(resolution,[],[f10031,f9351]) ).
fof(f10204,plain,
( ~ m1_group_2(sK26,sK27)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10202,f7798]) ).
fof(f10205,plain,
( ~ m1_group_2(sK26,sK27)
| v3_struct_0(sK26)
| v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10204,f7799]) ).
fof(f10206,plain,
( ~ m1_group_2(sK26,sK27)
| v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1 ),
inference(forward_subsumption_resolution,[],[f10205,f7800]) ).
fof(f10207,plain,
( v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f10206,f9936]) ).
fof(f10208,plain,
( ~ v3_group_1(sK27)
| ~ l1_group_1(sK27)
| spl319_1
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f10207,f9878]) ).
fof(f10209,plain,
( ~ l1_group_1(sK27)
| spl319_1
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f10208,f9879]) ).
fof(f10210,plain,
( $false
| spl319_1
| ~ spl319_2 ),
inference(forward_subsumption_resolution,[],[f10209,f9880]) ).
fof(f10211,plain,
( spl319_1
| ~ spl319_2 ),
inference(avatar_contradiction_clause,[],[f10210]) ).
fof(f10223,plain,
( ~ m1_group_2(sK26,sK27)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| spl319_2 ),
inference(resolution,[],[f9845,f7824]) ).
fof(f10224,plain,
( ~ m1_group_2(sK26,sK27)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10223,f7690]) ).
fof(f10225,plain,
( ~ m1_group_2(sK26,sK27)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10224,f7689]) ).
fof(f10226,plain,
( ~ m1_group_2(sK26,sK27)
| ~ l1_group_1(sK23)
| ~ m1_group_2(sK27,sK23)
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10225,f7688]) ).
fof(f10227,plain,
( ~ m1_group_2(sK26,sK27)
| ~ m1_group_2(sK27,sK23)
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10226,f7687]) ).
fof(f10228,plain,
( ~ m1_group_2(sK26,sK27)
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10227,f9616]) ).
fof(f10242,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(resolution,[],[f9842,f9621]) ).
fof(f10247,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10242,f7694]) ).
fof(f10250,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_group_2(sK27,sK23)
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10247,f7693]) ).
fof(f10252,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10250,f9616]) ).
fof(f10254,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10252,f9617]) ).
fof(f10256,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10254,f7690]) ).
fof(f10258,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10256,f7689]) ).
fof(f10260,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ l1_group_1(sK23)
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10258,f7688]) ).
fof(f10263,plain,
( r1_tarski(u1_struct_0(sK26),u1_struct_0(sK27))
| ~ spl319_1 ),
inference(forward_subsumption_resolution,[],[f10260,f7687]) ).
fof(f10296,plain,
( ! [X0] :
( m1_group_2(sK26,sK27)
| ~ m1_group_2(sK27,X0)
| ~ m1_group_2(sK26,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl319_1 ),
inference(resolution,[],[f10263,f7801]) ).
fof(f10319,plain,
( ! [X0] :
( ~ m1_group_2(sK27,X0)
| ~ m1_group_2(sK26,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10296,f10228]) ).
fof(f10729,plain,
( ~ m1_group_2(sK26,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1
| spl319_2 ),
inference(resolution,[],[f10319,f9616]) ).
fof(f10745,plain,
( v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10729,f9617]) ).
fof(f10749,plain,
( ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10745,f7690]) ).
fof(f10753,plain,
( ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10749,f7689]) ).
fof(f10756,plain,
( ~ l1_group_1(sK23)
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10753,f7688]) ).
fof(f10759,plain,
( $false
| ~ spl319_1
| spl319_2 ),
inference(forward_subsumption_resolution,[],[f10756,f7687]) ).
fof(f10760,plain,
( ~ spl319_1
| spl319_2 ),
inference(avatar_contradiction_clause,[],[f10759]) ).
cnf(s1,plain,
( spl319_1
| spl319_2 ),
inference(sat_conversion,[],[f9847]) ).
cnf(s2,plain,
( ~ spl319_1
| ~ spl319_2 ),
inference(sat_conversion,[],[f9848]) ).
cnf(s29,plain,
( spl319_1
| ~ spl319_2 ),
inference(sat_conversion,[],[f10211]) ).
cnf(s53,plain,
( ~ spl319_1
| spl319_2 ),
inference(sat_conversion,[],[f10760]) ).
cnf(s65,plain,
spl319_1,
inference(rat,[],[s1,s29]) ).
cnf(s66,plain,
spl319_2,
inference(rat,[],[s53,s65]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s2,s66,s65]) ).
fof(f10785,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP648+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:29:10 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.75/2.05 % (2130093)Detected formulas, will run a generic FOF schedule.
% 6.75/2.05 % (2130100)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=2686455822:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 6.75/2.05 % (2130098)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=4050458304:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 6.75/2.05 % (2130101)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=287839446:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 6.75/2.05 % (2130099)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=1191667232:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 6.75/2.05 % (2130102)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3882720906:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 6.75/2.05 % (2130103)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1372069360:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 6.75/2.05 % (2130104)dis-21_1_sil=8000:lcm=predicate:random_seed=1761053647: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)
% 6.75/2.05 % (2130101)Instruction limit reached!
% 6.75/2.05 % (2130101)------------------------------
% 6.75/2.05 % (2130101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130101)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130101)Termination reason: Instruction limit
% 6.75/2.05 % (2130101)Termination phase: Saturation
% 6.75/2.05 % (2130101)Time elapsed: 0.064 s
% 6.75/2.05 % (2130101)Peak memory usage: 96 MB
% 6.75/2.05 % (2130101)Instructions burned: 111 (million)
% 6.75/2.05 % (2130102)Instruction limit reached!
% 6.75/2.05 % (2130102)------------------------------
% 6.75/2.05 % (2130102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130102)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130102)Termination reason: Instruction limit
% 6.75/2.05 % (2130102)Termination phase: Saturation
% 6.75/2.05 % (2130102)Time elapsed: 0.072 s
% 6.75/2.05 % (2130102)Peak memory usage: 96 MB
% 6.75/2.05 % (2130102)Instructions burned: 120 (million)
% 6.75/2.05 % (2130103)Instruction limit reached!
% 6.75/2.05 % (2130103)------------------------------
% 6.75/2.05 % (2130103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130103)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130103)Termination reason: Instruction limit
% 6.75/2.05 % (2130103)Termination phase: Unused predicate definition removal
% 6.75/2.05 % (2130103)Time elapsed: 0.083 s
% 6.75/2.05 % (2130103)Peak memory usage: 93 MB
% 6.75/2.05 % (2130103)Instructions burned: 139 (million)
% 6.75/2.05 % (2130104)Instruction limit reached!
% 6.75/2.05 % (2130104)------------------------------
% 6.75/2.05 % (2130104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130104)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130104)Termination reason: Instruction limit
% 6.75/2.05 % (2130104)Termination phase: Preprocessing 3
% 6.75/2.05 % (2130104)Time elapsed: 0.095 s
% 6.75/2.05 % (2130104)Peak memory usage: 97 MB
% 6.75/2.05 % (2130104)Instructions burned: 129 (million)
% 6.75/2.05 % (2130112)lrs+10_1_sil=8000:sp=occurrence:random_seed=1319416688:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.75/2.05 % (2130114)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3236367288:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.75/2.05 % (2130113)lrs+10_1_sil=32000:urr=on:br=off:random_seed=694538513:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.75/2.05 % (2130115)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=1330085083:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.75/2.05 % (2130113)Instruction limit reached!
% 6.75/2.05 % (2130113)------------------------------
% 6.75/2.05 % (2130113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130113)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130113)Termination reason: Instruction limit
% 6.75/2.05 % (2130113)Termination phase: Saturation
% 6.75/2.05 % (2130113)Time elapsed: 0.083 s
% 6.75/2.05 % (2130113)Peak memory usage: 95 MB
% 6.75/2.05 % (2130113)Instructions burned: 157 (million)
% 6.75/2.05 % (2130115)Instruction limit reached!
% 6.75/2.05 % (2130115)------------------------------
% 6.75/2.05 % (2130115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130115)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130115)Termination reason: Instruction limit
% 6.75/2.05 % (2130115)Termination phase: Preprocessing 3
% 6.75/2.05 % (2130115)Time elapsed: 0.150 s
% 6.75/2.05 % (2130115)Peak memory usage: 100 MB
% 6.75/2.05 % (2130115)Instructions burned: 249 (million)
% 6.75/2.05 % (2130112)Instruction limit reached!
% 6.75/2.05 % (2130112)------------------------------
% 6.75/2.05 % (2130112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130112)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130112)Termination reason: Instruction limit
% 6.75/2.05 % (2130112)Termination phase: Saturation
% 6.75/2.05 % (2130112)Time elapsed: 0.188 s
% 6.75/2.05 % (2130112)Peak memory usage: 99 MB
% 6.75/2.05 % (2130112)Instructions burned: 286 (million)
% 6.75/2.05 % (2130114)Instruction limit reached!
% 6.75/2.05 % (2130114)------------------------------
% 6.75/2.05 % (2130114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130114)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130114)Termination reason: Instruction limit
% 6.75/2.05 % (2130114)Termination phase: Saturation
% 6.75/2.05 % (2130114)Time elapsed: 0.190 s
% 6.75/2.05 % (2130114)Peak memory usage: 97 MB
% 6.75/2.05 % (2130114)Instructions burned: 327 (million)
% 6.75/2.05 % (2130120)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3195551902:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.75/2.05 % (2130121)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=288109315:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.75/2.05 % (2130122)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4106337700:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.75/2.05 % (2130123)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=279831168:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.75/2.05 % (2130120)First to succeed.
% 6.75/2.05 % (2130120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2130093"
% 6.75/2.05 % (2130122)Instruction limit reached!
% 6.75/2.05 % (2130122)------------------------------
% 6.75/2.05 % (2130122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130122)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130122)Termination reason: Instruction limit
% 6.75/2.05 % (2130122)Termination phase: Property scanning
% 6.75/2.05 % (2130122)Time elapsed: 0.076 s
% 6.75/2.05 % (2130122)Peak memory usage: 95 MB
% 6.75/2.05 % (2130122)Instructions burned: 114 (million)
% 6.75/2.05 % (2130123)Instruction limit reached!
% 6.75/2.05 % (2130123)------------------------------
% 6.75/2.05 % (2130123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130123)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130123)Termination reason: Instruction limit
% 6.75/2.05 % (2130123)Termination phase: Preprocessing 3
% 6.75/2.05 % (2130123)Time elapsed: 0.089 s
% 6.75/2.05 % (2130123)Peak memory usage: 99 MB
% 6.75/2.05 % (2130123)Instructions burned: 128 (million)
% 6.75/2.05 % (2130128)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3657414061:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 6.75/2.05 % (2130129)lrs+10_1_sil=8000:sp=occurrence:random_seed=2424473144:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.75/2.05 % (2130128)Instruction limit reached!
% 6.75/2.05 % (2130128)------------------------------
% 6.75/2.05 % (2130128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.05 % (2130128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.05 % (2130128)CaDiCaL version: 2.1.3
% 6.75/2.05 % (2130128)Termination reason: Instruction limit
% 6.75/2.05 % (2130128)Termination phase: Property scanning
% 6.75/2.05 % (2130128)Time elapsed: 0.052 s
% 6.75/2.05 % (2130128)Peak memory usage: 91 MB
% 6.75/2.05 % (2130128)Instructions burned: 115 (million)
% 6.75/2.05 % (2130120)Refutation found. Thanks to Tanya!
% 6.75/2.05 % SZS status Theorem for theBenchmark
% 6.75/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 7.50/2.24 % (2130120)------------------------------
% 7.50/2.24 % (2130120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/2.24 % (2130120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/2.24 % (2130120)CaDiCaL version: 2.1.3
% 7.50/2.24 % (2130120)Termination reason: Refutation
% 7.50/2.24 % (2130120)Time elapsed: 0.126 s
% 7.50/2.24 % (2130120)Peak memory usage: 99 MB
% 7.50/2.24 % (2130120)Instructions burned: 204 (million)
% 7.50/2.24 % (2130120)------------------------------
% 7.50/2.24 % (2130120)------------------------------
% 7.50/2.24 % (2130093)Success in time 1.181 s
% 7.50/2.24 % Vampire exiting
%------------------------------------------------------------------------------