%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP628+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 : n010.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 10:15:05 AM UTC 2026
% Result : Theorem 14.80s 3.12s
% Output : Refutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 118 ( 22 unt; 2 def)
% Number of atoms : 635 ( 74 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 891 ( 374 ~; 408 |; 78 &)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 128 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3118,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
fof(f3124,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X3 = X1
=> k3_group_1(X2,X3) = k3_group_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
fof(f3803,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f3805,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f3823,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_autgroup) ).
fof(f3826,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f3832,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& v1_group_3(X1,k3_autgroup(X0))
& m1_group_2(X1,k3_autgroup(X0)) )
=> ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_autgroup) ).
fof(f3836,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_autgroup) ).
fof(f3837,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3836]) ).
fof(f3861,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3803]) ).
fof(f3862,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3861]) ).
fof(f3865,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3805]) ).
fof(f3866,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3865]) ).
fof(f3899,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3823]) ).
fof(f3900,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3899]) ).
fof(f3905,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3826]) ).
fof(f3906,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3905]) ).
fof(f3917,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3832]) ).
fof(f3918,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3917]) ).
fof(f3923,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3837]) ).
fof(f3924,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3923]) ).
fof(f3963,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3118]) ).
fof(f3964,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3963]) ).
fof(f4286,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X2,X3) = k3_group_1(X0,X1)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3124]) ).
fof(f4287,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X2,X3) = k3_group_1(X0,X1)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4286]) ).
fof(f5741,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_autgroup(X0)
| u1_struct_0(X1) != k4_autgroup(X0) )
& ( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f3918]) ).
fof(f5742,plain,
( k2_funct_1(sK22) != k3_group_1(k5_autgroup(sK21),sK23)
& sK22 = sK23
& m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
& m2_fraenkel(sK22,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
& ~ v3_struct_0(sK21)
& v1_group_1(sK21)
& v3_group_1(sK21)
& v4_group_1(sK21)
& l1_group_1(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X0,sK21),skolemize(X1,sK22),skolemize(X2,sK23)],[f3924]) ).
fof(f6307,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3862]) ).
fof(f6308,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3862]) ).
fof(f6309,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3862]) ).
fof(f6311,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3862]) ).
fof(f6313,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f6314,plain,
! [X0] :
( v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f6315,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3866]) ).
fof(f6370,plain,
! [X2,X0,X1] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3900]) ).
fof(f6381,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3906]) ).
fof(f6387,plain,
! [X0,X1] :
( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5741]) ).
fof(f6391,plain,
l1_group_1(sK21),
inference(cnf_transformation,[],[f5742]) ).
fof(f6392,plain,
v4_group_1(sK21),
inference(cnf_transformation,[],[f5742]) ).
fof(f6393,plain,
v3_group_1(sK21),
inference(cnf_transformation,[],[f5742]) ).
fof(f6394,plain,
v1_group_1(sK21),
inference(cnf_transformation,[],[f5742]) ).
fof(f6395,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f5742]) ).
fof(f6396,plain,
m2_fraenkel(sK22,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21)),
inference(cnf_transformation,[],[f5742]) ).
fof(f6397,plain,
m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21))),
inference(cnf_transformation,[],[f5742]) ).
fof(f6398,plain,
sK22 = sK23,
inference(cnf_transformation,[],[f5742]) ).
fof(f6399,plain,
k2_funct_1(sK22) != k3_group_1(k5_autgroup(sK21),sK23),
inference(cnf_transformation,[],[f5742]) ).
fof(f6447,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3964]) ).
fof(f6864,plain,
! [X2,X3,X0,X1] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4287]) ).
fof(f8687,plain,
k3_group_1(k5_autgroup(sK21),sK23) != k2_funct_1(sK23),
inference(definition_unfolding,[],[f6399,f6398]) ).
fof(f8688,plain,
m2_fraenkel(sK23,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21)),
inference(definition_unfolding,[],[f6396,f6398]) ).
fof(f9204,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X0),X2)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6370]) ).
fof(f9209,plain,
! [X0] :
( ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6387]) ).
fof(f9264,plain,
! [X2,X3,X0] :
( ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f6864]) ).
fof(f9836,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(resolution,[],[f6313,f9264]) ).
fof(f9837,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f6314,f9209]) ).
fof(f9838,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ),
inference(duplicate_literal_removal,[],[f9837]) ).
fof(f9934,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
| v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21))
| ~ l1_group_1(sK21) ),
inference(resolution,[],[f6381,f6392]) ).
fof(f9940,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21))
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f9934,f6395]) ).
fof(f9941,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
| ~ v3_group_1(sK21)
| m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21))
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f9940,f6394]) ).
fof(f9942,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
| m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21))
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f9941,f6393]) ).
fof(f9943,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k4_autgroup(sK21))
| m2_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21)) ),
inference(forward_subsumption_resolution,[],[f9942,f6391]) ).
fof(f9944,plain,
m2_fraenkel(sK23,u1_struct_0(sK21),u1_struct_0(sK21),k1_autgroup(sK21)),
inference(resolution,[],[f9943,f8688]) ).
fof(f9949,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(resolution,[],[f9944,f9204]) ).
fof(f9967,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(X2))
| v3_struct_0(k3_autgroup(X2))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X2)))
| ~ l1_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(resolution,[],[f6447,f6309]) ).
fof(f10113,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,k3_autgroup(X2))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X2)))
| ~ l1_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(forward_subsumption_resolution,[],[f9967,f6311]) ).
fof(f10124,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f9836,f6311]) ).
fof(f10125,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f9838,f6315]) ).
fof(f10131,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f9949,f6395]) ).
fof(f10150,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X2)
| ~ m1_group_2(X1,k3_autgroup(X2))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X2)))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(forward_subsumption_resolution,[],[f10113,f6307]) ).
fof(f10161,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f10124,f6309]) ).
fof(f10162,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f10125,f6313]) ).
fof(f10168,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f10131,f6394]) ).
fof(f10193,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f10161,f6308]) ).
fof(f10199,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f10168,f6393]) ).
fof(f10223,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f10193,f6307]) ).
fof(f10228,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f10199,f6392]) ).
fof(f10256,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23) ),
inference(forward_subsumption_resolution,[],[f10228,f6391]) ).
fof(f10269,definition,
( spl352_32
<=> k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23) ),
introduced(definition,[new_symbols(definition,[spl352_32])],[avatar_definition]) ).
fof(f10270,plain,
( k2_funct_1(sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| ~ spl352_32 ),
inference(avatar_component_clause,[],[f10269]) ).
fof(f10272,definition,
( spl352_33
<=> m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21))) ),
introduced(definition,[new_symbols(definition,[spl352_33])],[avatar_definition]) ).
fof(f10273,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21)))
| spl352_33 ),
inference(avatar_component_clause,[],[f10272]) ).
fof(f10274,plain,
( spl352_32
| ~ spl352_33 ),
inference(avatar_split_clause,[],[f10256,f10272,f10269]) ).
fof(f10280,plain,
( ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| u1_struct_0(k5_autgroup(sK21)) = k4_autgroup(sK21) ),
inference(resolution,[],[f10162,f6392]) ).
fof(f10286,plain,
( ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| u1_struct_0(k5_autgroup(sK21)) = k4_autgroup(sK21) ),
inference(forward_subsumption_resolution,[],[f10280,f6394]) ).
fof(f10287,plain,
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| u1_struct_0(k5_autgroup(sK21)) = k4_autgroup(sK21) ),
inference(forward_subsumption_resolution,[],[f10286,f6393]) ).
fof(f10288,plain,
( ~ l1_group_1(sK21)
| u1_struct_0(k5_autgroup(sK21)) = k4_autgroup(sK21) ),
inference(forward_subsumption_resolution,[],[f10287,f6395]) ).
fof(f10289,plain,
u1_struct_0(k5_autgroup(sK21)) = k4_autgroup(sK21),
inference(forward_subsumption_resolution,[],[f10288,f6391]) ).
fof(f10290,plain,
m1_subset_1(sK23,k4_autgroup(sK21)),
inference(superposition,[],[f6397,f10289]) ).
fof(f11744,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(sK21))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(sK21)))
| v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(resolution,[],[f10150,f6393]) ).
fof(f11747,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(sK21))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(sK21)))
| ~ v1_group_1(sK21)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11744,f6395]) ).
fof(f11749,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(sK21))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11747,f6394]) ).
fof(f11751,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(sK21))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11749,f6392]) ).
fof(f11753,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(sK21))
| m1_subset_1(X1,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f11751,f6391]) ).
fof(f11754,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21)))
| v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(resolution,[],[f11753,f6313]) ).
fof(f11756,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21)))
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11754,f6395]) ).
fof(f11757,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21)))
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11756,f6394]) ).
fof(f11758,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21)))
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11757,f6393]) ).
fof(f11759,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21)))
| ~ l1_group_1(sK21) ),
inference(forward_subsumption_resolution,[],[f11758,f6392]) ).
fof(f11760,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK21))) ),
inference(forward_subsumption_resolution,[],[f11759,f6391]) ).
fof(f11761,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK21))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK21))) ),
inference(forward_demodulation,[],[f11760,f10289]) ).
fof(f11764,plain,
m1_subset_1(sK23,u1_struct_0(k3_autgroup(sK21))),
inference(resolution,[],[f11761,f10290]) ).
fof(f11772,plain,
( $false
| spl352_33 ),
inference(forward_subsumption_resolution,[],[f11764,f10273]) ).
fof(f11773,plain,
spl352_33,
inference(avatar_contradiction_clause,[],[f11772]) ).
fof(f11844,plain,
( ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
| k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(resolution,[],[f11764,f10223]) ).
fof(f11850,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
| k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(forward_subsumption_resolution,[],[f11844,f6394]) ).
fof(f11860,plain,
( ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
| k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(forward_subsumption_resolution,[],[f11850,f6393]) ).
fof(f11865,plain,
( ~ l1_group_1(sK21)
| ~ m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
| k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(forward_subsumption_resolution,[],[f11860,f6392]) ).
fof(f11867,plain,
( ~ m1_subset_1(sK23,u1_struct_0(k5_autgroup(sK21)))
| k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(forward_subsumption_resolution,[],[f11865,f6391]) ).
fof(f11869,plain,
( k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23)
| v3_struct_0(sK21) ),
inference(forward_subsumption_resolution,[],[f11867,f6397]) ).
fof(f11871,plain,
k3_group_1(k5_autgroup(sK21),sK23) = k3_group_1(k3_autgroup(sK21),sK23),
inference(forward_subsumption_resolution,[],[f11869,f6395]) ).
fof(f11873,plain,
( k3_group_1(k5_autgroup(sK21),sK23) = k2_funct_1(sK23)
| ~ spl352_32 ),
inference(forward_demodulation,[],[f11871,f10270]) ).
fof(f11874,plain,
( $false
| ~ spl352_32 ),
inference(forward_subsumption_resolution,[],[f11873,f8687]) ).
fof(f11875,plain,
~ spl352_32,
inference(avatar_contradiction_clause,[],[f11874]) ).
cnf(s34,plain,
( spl352_32
| ~ spl352_33 ),
inference(sat_conversion,[],[f10274]) ).
cnf(s165,plain,
spl352_33,
inference(sat_conversion,[],[f11773]) ).
cnf(s175,plain,
~ spl352_32,
inference(sat_conversion,[],[f11875]) ).
cnf(s212,plain,
$false,
inference(rat,[],[s34,s165,s175]) ).
fof(f11876,plain,
$false,
inference(avatar_sat_refutation,[],[s212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP628+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:11:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.76/2.81 % (737370)Detected formulas, will run a generic FOF schedule.
% 12.76/2.81 % (737521)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=1944485085:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.76/2.81 % (737523)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3209666741:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.76/2.81 % (737524)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1349077869:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.76/2.81 % (737525)dis-21_1_sil=8000:lcm=predicate:random_seed=2121445211:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.76/2.81 % (737522)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=271038853:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.76/2.81 % (737519)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=256136848:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.76/2.81 % (737520)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=9409322:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.76/2.81 % (737522)Instruction limit reached!
% 12.76/2.81 % (737522)------------------------------
% 12.76/2.81 % (737522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.81 % (737522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.81 % (737522)CaDiCaL version: 2.1.3
% 12.76/2.81 % (737522)Termination reason: Instruction limit
% 12.76/2.81 % (737522)Termination phase: Saturation
% 12.76/2.81 % (737522)Time elapsed: 0.058 s
% 12.76/2.81 % (737522)Peak memory usage: 93 MB
% 12.76/2.81 % (737522)Instructions burned: 111 (million)
% 12.76/2.81 % (737523)Instruction limit reached!
% 12.76/2.81 % (737523)------------------------------
% 12.76/2.81 % (737523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.81 % (737523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.81 % (737523)CaDiCaL version: 2.1.3
% 12.76/2.81 % (737523)Termination reason: Instruction limit
% 12.76/2.81 % (737523)Termination phase: Saturation
% 12.76/2.81 % (737523)Time elapsed: 0.071 s
% 12.76/2.81 % (737523)Peak memory usage: 94 MB
% 12.76/2.81 % (737523)Instructions burned: 119 (million)
% 12.76/2.81 % (737524)Instruction limit reached!
% 12.76/2.81 % (737524)------------------------------
% 12.76/2.81 % (737524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.81 % (737524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.81 % (737524)CaDiCaL version: 2.1.3
% 12.76/2.81 % (737524)Termination reason: Instruction limit
% 12.76/2.81 % (737524)Termination phase: Preprocessing 3
% 12.76/2.81 % (737524)Time elapsed: 0.087 s
% 12.76/2.81 % (737524)Peak memory usage: 94 MB
% 12.76/2.81 % (737524)Instructions burned: 140 (million)
% 12.76/2.81 % (737525)Instruction limit reached!
% 12.76/2.81 % (737525)------------------------------
% 12.76/2.81 % (737525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.81 % (737525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.81 % (737525)CaDiCaL version: 2.1.3
% 12.76/2.81 % (737525)Termination reason: Instruction limit
% 12.76/2.81 % (737525)Termination phase: Preprocessing 3
% 12.76/2.81 % (737525)Time elapsed: 0.088 s
% 12.76/2.81 % (737525)Peak memory usage: 94 MB
% 12.76/2.81 % (737525)Instructions burned: 130 (million)
% 12.76/2.81 % (737534)lrs+10_1_sil=32000:urr=on:br=off:random_seed=452635484:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.76/2.81 % (737533)lrs+10_1_sil=8000:sp=occurrence:random_seed=3576267056:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.76/2.81 % (737535)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3768326698:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.76/2.81 % (737536)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=2540995987:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.76/2.81 % (737534)Instruction limit reached!
% 12.76/2.81 % (737534)------------------------------
% 14.80/3.12 % (737534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737534)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737534)Termination reason: Instruction limit
% 14.80/3.12 % (737534)Termination phase: Saturation
% 14.80/3.12 % (737534)Time elapsed: 0.083 s
% 14.80/3.12 % (737534)Peak memory usage: 94 MB
% 14.80/3.12 % (737534)Instructions burned: 158 (million)
% 14.80/3.12 % (737536)Instruction limit reached!
% 14.80/3.12 % (737536)------------------------------
% 14.80/3.12 % (737536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737536)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737536)Termination reason: Instruction limit
% 14.80/3.12 % (737536)Termination phase: Property scanning
% 14.80/3.12 % (737536)Time elapsed: 0.139 s
% 14.80/3.12 % (737536)Peak memory usage: 97 MB
% 14.80/3.12 % (737536)Instructions burned: 248 (million)
% 14.80/3.12 % (737533)Instruction limit reached!
% 14.80/3.12 % (737533)------------------------------
% 14.80/3.12 % (737533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737533)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737533)Termination reason: Instruction limit
% 14.80/3.12 % (737533)Termination phase: Saturation
% 14.80/3.12 % (737533)Time elapsed: 0.183 s
% 14.80/3.12 % (737533)Peak memory usage: 97 MB
% 14.80/3.12 % (737533)Instructions burned: 285 (million)
% 14.80/3.12 % (737541)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=733018408:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.80/3.12 % (737535)Instruction limit reached!
% 14.80/3.12 % (737535)------------------------------
% 14.80/3.12 % (737535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737535)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737535)Termination reason: Instruction limit
% 14.80/3.12 % (737535)Termination phase: Saturation
% 14.80/3.12 % (737535)Time elapsed: 0.211 s
% 14.80/3.12 % (737535)Peak memory usage: 96 MB
% 14.80/3.12 % (737535)Instructions burned: 326 (million)
% 14.80/3.12 % (737541)Instruction limit reached!
% 14.80/3.12 % (737541)------------------------------
% 14.80/3.12 % (737541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737541)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737541)Termination reason: Instruction limit
% 14.80/3.12 % (737541)Termination phase: Saturation
% 14.80/3.12 % (737541)Time elapsed: 0.097 s
% 14.80/3.12 % (737541)Peak memory usage: 97 MB
% 14.80/3.12 % (737541)Instructions burned: 297 (million)
% 14.80/3.12 % (737542)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=681687594:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.80/3.12 % (737543)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3944478132:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.80/3.12 % (737545)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=781311497:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.80/3.12 % (737543)Instruction limit reached!
% 14.80/3.12 % (737543)------------------------------
% 14.80/3.12 % (737543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737543)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737543)Termination reason: Instruction limit
% 14.80/3.12 % (737543)Termination phase: Property scanning
% 14.80/3.12 % (737543)Time elapsed: 0.071 s
% 14.80/3.12 % (737543)Peak memory usage: 93 MB
% 14.80/3.12 % (737543)Instructions burned: 114 (million)
% 14.80/3.12 % (737546)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3803152314:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 14.80/3.12 % (737546)Instruction limit reached!
% 14.80/3.12 % (737546)------------------------------
% 14.80/3.12 % (737546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737546)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737546)Termination reason: Instruction limit
% 14.80/3.12 % (737546)Termination phase: Unused predicate definition removal
% 14.80/3.12 % (737546)Time elapsed: 0.031 s
% 14.80/3.12 % (737546)Peak memory usage: 90 MB
% 14.80/3.12 % (737546)Instructions burned: 116 (million)
% 14.80/3.12 % (737545)Instruction limit reached!
% 14.80/3.12 % (737545)------------------------------
% 14.80/3.12 % (737545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737545)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737545)Termination reason: Instruction limit
% 14.80/3.12 % (737545)Termination phase: Preprocessing 3
% 14.80/3.12 % (737545)Time elapsed: 0.083 s
% 14.80/3.12 % (737545)Peak memory usage: 96 MB
% 14.80/3.12 % (737545)Instructions burned: 128 (million)
% 14.80/3.12 % (737552)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2537956506:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.80/3.12 % (737550)lrs+10_1_sil=8000:sp=occurrence:random_seed=3386690036:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 14.80/3.12 % (737553)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2411156695:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.80/3.12 % (737552)Instruction limit reached!
% 14.80/3.12 % (737552)------------------------------
% 14.80/3.12 % (737552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737552)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737552)Termination reason: Instruction limit
% 14.80/3.12 % (737552)Termination phase: Saturation
% 14.80/3.12 % (737552)Time elapsed: 0.103 s
% 14.80/3.12 % (737552)Peak memory usage: 94 MB
% 14.80/3.12 % (737552)Instructions burned: 442 (million)
% 14.80/3.12 % (737557)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3327911940:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 14.80/3.12 % (737557)Instruction limit reached!
% 14.80/3.12 % (737557)------------------------------
% 14.80/3.12 % (737557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737557)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737557)Termination reason: Instruction limit
% 14.80/3.12 % (737557)Termination phase: Saturation
% 14.80/3.12 % (737557)Time elapsed: 0.046 s
% 14.80/3.12 % (737557)Peak memory usage: 96 MB
% 14.80/3.12 % (737557)Instructions burned: 136 (million)
% 14.80/3.12 % (737559)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2491760907:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.80/3.12 % (737559)Instruction limit reached!
% 14.80/3.12 % (737559)------------------------------
% 14.80/3.12 % (737559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737559)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737559)Termination reason: Instruction limit
% 14.80/3.12 % (737559)Termination phase: Saturation
% 14.80/3.12 % (737559)Time elapsed: 0.173 s
% 14.80/3.12 % (737559)Peak memory usage: 106 MB
% 14.80/3.12 % (737559)Instructions burned: 593 (million)
% 14.80/3.12 % (737550)Instruction limit reached!
% 14.80/3.12 % (737550)------------------------------
% 14.80/3.12 % (737550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737550)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737550)Termination reason: Instruction limit
% 14.80/3.12 % (737550)Termination phase: Saturation
% 14.80/3.12 % (737550)Time elapsed: 0.592 s
% 14.80/3.12 % (737550)Peak memory usage: 108 MB
% 14.80/3.12 % (737550)Instructions burned: 909 (million)
% 14.80/3.12 % (737561)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4226405825:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 14.80/3.12 % (737562)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=554187671:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 14.80/3.12 % (737520)First to succeed.
% 14.80/3.12 % (737520)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-737370"
% 14.80/3.12 % (737562)Instruction limit reached!
% 14.80/3.12 % (737562)------------------------------
% 14.80/3.12 % (737562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737562)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737562)Termination reason: Instruction limit
% 14.80/3.12 % (737562)Termination phase: Property scanning
% 14.80/3.12 % (737562)Time elapsed: 0.078 s
% 14.80/3.12 % (737562)Peak memory usage: 92 MB
% 14.80/3.12 % (737562)Instructions burned: 126 (million)
% 14.80/3.12 % (737565)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1455858678:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 14.80/3.12 % (737565)Instruction limit reached!
% 14.80/3.12 % (737565)------------------------------
% 14.80/3.12 % (737565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.12 % (737565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.12 % (737565)CaDiCaL version: 2.1.3
% 14.80/3.12 % (737565)Termination reason: Instruction limit
% 14.80/3.12 % (737565)Termination phase: Preprocessing 1
% 14.80/3.12 % (737565)Time elapsed: 0.069 s
% 14.80/3.12 % (737565)Peak memory usage: 90 MB
% 14.80/3.12 % (737565)Instructions burned: 134 (million)
% 14.80/3.12 % (737520)Refutation found. Thanks to Tanya!
% 14.80/3.12 % SZS status Theorem for theBenchmark
% 14.80/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 15.61/3.32 % (737520)------------------------------
% 15.61/3.32 % (737520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/3.32 % (737520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/3.32 % (737520)CaDiCaL version: 2.1.3
% 15.61/3.32 % (737520)Termination reason: Refutation
% 15.61/3.32 % (737520)Time elapsed: 1.632 s
% 15.61/3.32 % (737520)Peak memory usage: 166 MB
% 15.61/3.32 % (737520)Instructions burned: 2591 (million)
% 15.61/3.32 % (737520)------------------------------
% 15.61/3.32 % (737520)------------------------------
% 15.61/3.32 % (737370)Success in time 2.251 s
% 15.61/3.32 % Vampire exiting
%------------------------------------------------------------------------------