%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP628+4 : 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 : n003.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 10:15:06 AM UTC 2026
% Result : Theorem 17.99s 6.20s
% Output : Refutation 25.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 222 ( 39 unt; 18 def)
% Number of atoms : 991 ( 73 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1326 ( 557 ~; 644 |; 78 &)
% ( 21 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 19 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 103 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21862,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(f21868,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(f33387,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(f33389,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(f33407,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(f33410,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(f33416,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(f33420,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(f33421,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)],[f33420]) ).
fof(f33456,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,[],[f33387]) ).
fof(f33457,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,[],[f33456]) ).
fof(f33460,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,[],[f33389]) ).
fof(f33461,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,[],[f33460]) ).
fof(f33494,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,[],[f33407]) ).
fof(f33495,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,[],[f33494]) ).
fof(f33500,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,[],[f33410]) ).
fof(f33501,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,[],[f33500]) ).
fof(f33512,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,[],[f33416]) ).
fof(f33513,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,[],[f33512]) ).
fof(f33518,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,[],[f33421]) ).
fof(f33519,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,[],[f33518]) ).
fof(f33557,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,[],[f21862]) ).
fof(f33558,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,[],[f33557]) ).
fof(f33976,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,[],[f21868]) ).
fof(f33977,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,[],[f33976]) ).
fof(f34047,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,[],[f33513]) ).
fof(f34048,plain,
( k2_funct_1(sK18) != k3_group_1(k5_autgroup(sK17),sK19)
& sK18 = sK19
& m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
& m2_fraenkel(sK18,u1_struct_0(sK17),u1_struct_0(sK17),k4_autgroup(sK17))
& ~ v3_struct_0(sK17)
& v1_group_1(sK17)
& v3_group_1(sK17)
& v4_group_1(sK17)
& l1_group_1(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19)],[f33519]) ).
fof(f34224,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,[],[f33457]) ).
fof(f34225,plain,
! [X0] :
( v4_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,[],[f33457]) ).
fof(f34226,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,[],[f33457]) ).
fof(f34228,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,[],[f33457]) ).
fof(f34230,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,[],[f33461]) ).
fof(f34231,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,[],[f33461]) ).
fof(f34232,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,[],[f33461]) ).
fof(f34284,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,[],[f33495]) ).
fof(f34295,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(cnf_transformation,[],[f33501]) ).
fof(f34301,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,[],[f34047]) ).
fof(f34305,plain,
l1_group_1(sK17),
inference(cnf_transformation,[],[f34048]) ).
fof(f34306,plain,
v4_group_1(sK17),
inference(cnf_transformation,[],[f34048]) ).
fof(f34307,plain,
v3_group_1(sK17),
inference(cnf_transformation,[],[f34048]) ).
fof(f34308,plain,
v1_group_1(sK17),
inference(cnf_transformation,[],[f34048]) ).
fof(f34309,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f34048]) ).
fof(f34310,plain,
m2_fraenkel(sK18,u1_struct_0(sK17),u1_struct_0(sK17),k4_autgroup(sK17)),
inference(cnf_transformation,[],[f34048]) ).
fof(f34311,plain,
m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17))),
inference(cnf_transformation,[],[f34048]) ).
fof(f34312,plain,
sK18 = sK19,
inference(cnf_transformation,[],[f34048]) ).
fof(f34313,plain,
k2_funct_1(sK18) != k3_group_1(k5_autgroup(sK17),sK19),
inference(cnf_transformation,[],[f34048]) ).
fof(f34359,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f33558]) ).
fof(f35070,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,[],[f33977]) ).
fof(f35128,plain,
k3_group_1(k5_autgroup(sK17),sK19) != k2_funct_1(sK19),
inference(definition_unfolding,[],[f34313,f34312]) ).
fof(f35129,plain,
m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k4_autgroup(sK17)),
inference(definition_unfolding,[],[f34310,f34312]) ).
fof(f35140,plain,
! [X2,X0] :
( k2_funct_1(X2) = k3_group_1(k3_autgroup(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X2,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(equality_resolution,[],[f34284]) ).
fof(f35145,plain,
! [X0] :
( k4_autgroup(X0) = u1_struct_0(k5_autgroup(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(equality_resolution,[],[f34301]) ).
fof(f35224,plain,
! [X2,X3,X0] :
( k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ 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,[],[f35070]) ).
fof(f35319,definition,
( spl198_1
<=> v3_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_1])],[avatar_definition]) ).
fof(f35321,plain,
( ~ v3_struct_0(sK17)
| spl198_1 ),
inference(avatar_component_clause,[],[f35319]) ).
fof(f35322,plain,
~ spl198_1,
inference(avatar_split_clause,[],[f34309,f35319]) ).
fof(f35324,definition,
( spl198_2
<=> k3_group_1(k5_autgroup(sK17),sK19) = k2_funct_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl198_2])],[avatar_definition]) ).
fof(f35326,plain,
( k3_group_1(k5_autgroup(sK17),sK19) != k2_funct_1(sK19)
| spl198_2 ),
inference(avatar_component_clause,[],[f35324]) ).
fof(f35327,plain,
~ spl198_2,
inference(avatar_split_clause,[],[f35128,f35324]) ).
fof(f35357,plain,
( l1_group_1(k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34224]) ).
fof(f35358,plain,
( v4_group_1(k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34225]) ).
fof(f35359,plain,
( v3_group_1(k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34226]) ).
fof(f35361,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34228]) ).
fof(f35363,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34230]) ).
fof(f35364,plain,
( v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34231]) ).
fof(f35365,plain,
( v1_group_1(k5_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f34232]) ).
fof(f35680,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_1(k5_autgroup(sK17))
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(resolution,[],[f35321,f35145]) ).
fof(f35719,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_1(k5_autgroup(sK17))
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35680,f34308]) ).
fof(f35995,plain,
( v1_group_1(k5_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35365,f34308]) ).
fof(f35996,plain,
( v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35364,f34308]) ).
fof(f35997,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35363,f34308]) ).
fof(f35999,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35361,f34308]) ).
fof(f36001,plain,
( v3_group_1(k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35359,f34308]) ).
fof(f36002,plain,
( v4_group_1(k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35358,f34308]) ).
fof(f36003,plain,
( l1_group_1(k3_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35357,f34308]) ).
fof(f36022,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_1(k5_autgroup(sK17))
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35719,f34307]) ).
fof(f36275,plain,
( v1_group_1(k5_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35995,f34307]) ).
fof(f36276,plain,
( v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35996,f34307]) ).
fof(f36277,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35997,f34307]) ).
fof(f36279,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f35999,f34307]) ).
fof(f36281,plain,
( v3_group_1(k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36001,f34307]) ).
fof(f36282,plain,
( v4_group_1(k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36002,f34307]) ).
fof(f36283,plain,
( l1_group_1(k3_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36003,f34307]) ).
fof(f36301,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_1(k5_autgroup(sK17))
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36022,f34306]) ).
fof(f36538,plain,
( v1_group_1(k5_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36275,f34306]) ).
fof(f36539,plain,
( v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36276,f34306]) ).
fof(f36540,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36277,f34306]) ).
fof(f36542,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36279,f34306]) ).
fof(f36544,plain,
( v3_group_1(k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36281,f34306]) ).
fof(f36545,plain,
( v4_group_1(k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36282,f34306]) ).
fof(f36546,plain,
( l1_group_1(k3_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36283,f34306]) ).
fof(f36555,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_1(k5_autgroup(sK17))
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36301,f34305]) ).
fof(f36640,plain,
( v1_group_1(k5_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36538,f34305]) ).
fof(f36641,plain,
( v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36539,f34305]) ).
fof(f36642,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36540,f34305]) ).
fof(f36644,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36542,f34305]) ).
fof(f36646,plain,
( v3_group_1(k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36544,f34305]) ).
fof(f36647,plain,
( v4_group_1(k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36545,f34305]) ).
fof(f36648,plain,
( l1_group_1(k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36546,f34305]) ).
fof(f36662,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ v1_group_3(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| spl198_1 ),
inference(backward_subsumption_resolution,[],[f36555,f36640]) ).
fof(f36680,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36662,f36641]) ).
fof(f36687,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| spl198_1 ),
inference(forward_subsumption_resolution,[],[f36680,f36642]) ).
fof(f36692,definition,
( spl198_3
<=> m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17))) ),
introduced(definition,[new_symbols(definition,[spl198_3])],[avatar_definition]) ).
fof(f36694,plain,
( m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| ~ spl198_3 ),
inference(avatar_component_clause,[],[f36692]) ).
fof(f36695,plain,
spl198_3,
inference(avatar_split_clause,[],[f34311,f36692]) ).
fof(f36696,plain,
( m1_subset_1(sK19,k4_autgroup(sK17))
| spl198_1
| ~ spl198_3 ),
inference(forward_demodulation,[],[f36694,f36687]) ).
fof(f36698,definition,
( spl198_4
<=> m1_subset_1(sK19,k4_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_4])],[avatar_definition]) ).
fof(f36700,plain,
( m1_subset_1(sK19,k4_autgroup(sK17))
| ~ spl198_4 ),
inference(avatar_component_clause,[],[f36698]) ).
fof(f36701,plain,
( spl198_4
| spl198_1
| ~ spl198_3 ),
inference(avatar_split_clause,[],[f36696,f36692,f35319,f36698]) ).
fof(f36903,definition,
( spl198_5
<=> l1_group_1(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_5])],[avatar_definition]) ).
fof(f36905,plain,
( l1_group_1(sK17)
| ~ spl198_5 ),
inference(avatar_component_clause,[],[f36903]) ).
fof(f36906,plain,
spl198_5,
inference(avatar_split_clause,[],[f34305,f36903]) ).
fof(f36908,definition,
( spl198_6
<=> v1_group_1(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_6])],[avatar_definition]) ).
fof(f36910,plain,
( v1_group_1(sK17)
| ~ spl198_6 ),
inference(avatar_component_clause,[],[f36908]) ).
fof(f36911,plain,
spl198_6,
inference(avatar_split_clause,[],[f34308,f36908]) ).
fof(f36913,definition,
( spl198_7
<=> m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k4_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_7])],[avatar_definition]) ).
fof(f36915,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k4_autgroup(sK17))
| ~ spl198_7 ),
inference(avatar_component_clause,[],[f36913]) ).
fof(f36916,plain,
spl198_7,
inference(avatar_split_clause,[],[f35129,f36913]) ).
fof(f36917,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| v3_struct_0(sK17)
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| ~ spl198_7 ),
inference(resolution,[],[f36915,f34295]) ).
fof(f36947,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_7 ),
inference(forward_subsumption_resolution,[],[f36917,f35321]) ).
fof(f36960,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_7 ),
inference(forward_subsumption_resolution,[],[f36947,f36910]) ).
fof(f36973,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_7 ),
inference(forward_subsumption_resolution,[],[f36960,f34307]) ).
fof(f36986,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_7 ),
inference(forward_subsumption_resolution,[],[f36973,f34306]) ).
fof(f36999,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_7 ),
inference(forward_subsumption_resolution,[],[f36986,f36905]) ).
fof(f37007,definition,
( spl198_8
<=> v3_group_1(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_8])],[avatar_definition]) ).
fof(f37009,plain,
( v3_group_1(sK17)
| ~ spl198_8 ),
inference(avatar_component_clause,[],[f37007]) ).
fof(f37010,plain,
spl198_8,
inference(avatar_split_clause,[],[f34307,f37007]) ).
fof(f37772,definition,
( spl198_9
<=> v4_group_1(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_9])],[avatar_definition]) ).
fof(f37774,plain,
( v4_group_1(sK17)
| ~ spl198_9 ),
inference(avatar_component_clause,[],[f37772]) ).
fof(f37775,plain,
spl198_9,
inference(avatar_split_clause,[],[f34306,f37772]) ).
fof(f38335,definition,
( spl198_13
<=> u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17) ),
introduced(definition,[new_symbols(definition,[spl198_13])],[avatar_definition]) ).
fof(f38337,plain,
( u1_struct_0(k5_autgroup(sK17)) = k4_autgroup(sK17)
| ~ spl198_13 ),
inference(avatar_component_clause,[],[f38335]) ).
fof(f38338,plain,
( spl198_13
| spl198_1 ),
inference(avatar_split_clause,[],[f36687,f35319,f38335]) ).
fof(f39487,definition,
( spl198_17
<=> m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_17])],[avatar_definition]) ).
fof(f39489,plain,
( m2_fraenkel(sK19,u1_struct_0(sK17),u1_struct_0(sK17),k1_autgroup(sK17))
| ~ spl198_17 ),
inference(avatar_component_clause,[],[f39487]) ).
fof(f39490,plain,
( spl198_17
| spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_7 ),
inference(avatar_split_clause,[],[f36999,f36913,f36908,f36903,f35319,f39487]) ).
fof(f39508,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| v3_struct_0(sK17)
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| ~ spl198_17 ),
inference(resolution,[],[f39489,f35140]) ).
fof(f39544,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_17 ),
inference(forward_subsumption_resolution,[],[f39508,f35321]) ).
fof(f39575,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_17 ),
inference(forward_subsumption_resolution,[],[f39544,f36910]) ).
fof(f39606,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_8
| ~ spl198_17 ),
inference(forward_subsumption_resolution,[],[f39575,f37009]) ).
fof(f39637,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_17 ),
inference(forward_subsumption_resolution,[],[f39606,f37774]) ).
fof(f39668,plain,
( k2_funct_1(sK19) = k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_17 ),
inference(forward_subsumption_resolution,[],[f39637,f36905]) ).
fof(f40095,definition,
( spl198_20
<=> m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_20])],[avatar_definition]) ).
fof(f40097,plain,
( m1_group_2(k5_autgroup(sK17),k3_autgroup(sK17))
| ~ spl198_20 ),
inference(avatar_component_clause,[],[f40095]) ).
fof(f40098,plain,
( spl198_20
| spl198_1 ),
inference(avatar_split_clause,[],[f36642,f35319,f40095]) ).
fof(f40119,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| v3_struct_0(k3_autgroup(sK17))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| ~ spl198_20 ),
inference(resolution,[],[f40097,f34359]) ).
fof(f40155,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| v3_struct_0(k3_autgroup(sK17))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ v4_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| ~ spl198_20 ),
inference(resolution,[],[f40097,f35224]) ).
fof(f40160,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ v4_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40155,f36644]) ).
fof(f40193,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40119,f36644]) ).
fof(f40205,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ v4_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40160,f36646]) ).
fof(f40238,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40193,f36646]) ).
fof(f40250,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40205,f36647]) ).
fof(f40283,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17))) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40238,f36648]) ).
fof(f40295,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK17)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17))) )
| spl198_1
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40250,f36648]) ).
fof(f40327,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK17))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17))) )
| spl198_1
| ~ spl198_13
| ~ spl198_20 ),
inference(forward_demodulation,[],[f40283,f38337]) ).
fof(f40638,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK17))
| k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK17))) )
| spl198_1
| ~ spl198_13
| ~ spl198_20 ),
inference(forward_demodulation,[],[f40295,f38337]) ).
fof(f40920,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK17))
| k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0) )
| spl198_1
| ~ spl198_13
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f40638,f40327]) ).
fof(f52450,definition,
( spl198_50
<=> l1_group_1(k3_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_50])],[avatar_definition]) ).
fof(f52452,plain,
( l1_group_1(k3_autgroup(sK17))
| ~ spl198_50 ),
inference(avatar_component_clause,[],[f52450]) ).
fof(f52453,plain,
( spl198_50
| spl198_1 ),
inference(avatar_split_clause,[],[f36648,f35319,f52450]) ).
fof(f54362,definition,
( spl198_53
<=> v3_group_1(k3_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_53])],[avatar_definition]) ).
fof(f54364,plain,
( v3_group_1(k3_autgroup(sK17))
| ~ spl198_53 ),
inference(avatar_component_clause,[],[f54362]) ).
fof(f54365,plain,
( spl198_53
| spl198_1 ),
inference(avatar_split_clause,[],[f36646,f35319,f54362]) ).
fof(f57954,definition,
( spl198_63
<=> v3_struct_0(k3_autgroup(sK17)) ),
introduced(definition,[new_symbols(definition,[spl198_63])],[avatar_definition]) ).
fof(f57956,plain,
( ~ v3_struct_0(k3_autgroup(sK17))
| spl198_63 ),
inference(avatar_component_clause,[],[f57954]) ).
fof(f57957,plain,
( ~ spl198_63
| spl198_1 ),
inference(avatar_split_clause,[],[f36644,f35319,f57954]) ).
fof(f59915,definition,
( spl198_72
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK17))
| k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0) ) ),
introduced(definition,[new_symbols(definition,[spl198_72])],[avatar_definition]) ).
fof(f59916,plain,
( ! [X0] :
( k3_group_1(k3_autgroup(sK17),X0) = k3_group_1(k5_autgroup(sK17),X0)
| ~ m1_subset_1(X0,k4_autgroup(sK17)) )
| ~ spl198_72 ),
inference(avatar_component_clause,[],[f59915]) ).
fof(f59917,plain,
( spl198_72
| spl198_1
| ~ spl198_13
| ~ spl198_20 ),
inference(avatar_split_clause,[],[f40920,f40095,f38335,f35319,f59915]) ).
fof(f59994,plain,
( k2_funct_1(sK19) != k3_group_1(k3_autgroup(sK17),sK19)
| ~ m1_subset_1(sK19,k4_autgroup(sK17))
| spl198_2
| ~ spl198_72 ),
inference(superposition,[],[f35326,f59916]) ).
fof(f60001,plain,
( k2_funct_1(sK19) != k3_group_1(k3_autgroup(sK17),sK19)
| spl198_2
| ~ spl198_4
| ~ spl198_72 ),
inference(forward_subsumption_resolution,[],[f59994,f36700]) ).
fof(f60079,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| spl198_1
| spl198_2
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_17
| ~ spl198_72 ),
inference(backward_subsumption_resolution,[],[f39668,f60001]) ).
fof(f60545,definition,
( spl198_73
<=> m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17))) ),
introduced(definition,[new_symbols(definition,[spl198_73])],[avatar_definition]) ).
fof(f60547,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k3_autgroup(sK17)))
| spl198_73 ),
inference(avatar_component_clause,[],[f60545]) ).
fof(f60548,plain,
( ~ spl198_73
| spl198_1
| spl198_2
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_17
| ~ spl198_72 ),
inference(avatar_split_clause,[],[f60079,f59915,f39487,f37772,f37007,f36908,f36903,f36698,f35324,f35319,f60545]) ).
fof(f60554,plain,
( ! [X0] :
( ~ m1_subset_1(sK19,u1_struct_0(X0))
| ~ m1_group_2(X0,k3_autgroup(sK17))
| v3_struct_0(k3_autgroup(sK17))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_73 ),
inference(resolution,[],[f60547,f34359]) ).
fof(f60562,plain,
( ! [X0] :
( ~ m1_subset_1(sK19,u1_struct_0(X0))
| ~ m1_group_2(X0,k3_autgroup(sK17))
| ~ v3_group_1(k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| spl198_63
| spl198_73 ),
inference(forward_subsumption_resolution,[],[f60554,f57956]) ).
fof(f60564,plain,
( ! [X0] :
( ~ m1_subset_1(sK19,u1_struct_0(X0))
| ~ m1_group_2(X0,k3_autgroup(sK17))
| ~ l1_group_1(k3_autgroup(sK17)) )
| ~ spl198_53
| spl198_63
| spl198_73 ),
inference(forward_subsumption_resolution,[],[f60562,f54364]) ).
fof(f60566,plain,
( ! [X0] :
( ~ m1_subset_1(sK19,u1_struct_0(X0))
| ~ m1_group_2(X0,k3_autgroup(sK17)) )
| ~ spl198_50
| ~ spl198_53
| spl198_63
| spl198_73 ),
inference(forward_subsumption_resolution,[],[f60564,f52452]) ).
fof(f70115,definition,
( spl198_141
<=> ! [X0] :
( ~ m1_subset_1(sK19,u1_struct_0(X0))
| ~ m1_group_2(X0,k3_autgroup(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl198_141])],[avatar_definition]) ).
fof(f70116,plain,
( ! [X0] :
( ~ m1_group_2(X0,k3_autgroup(sK17))
| ~ m1_subset_1(sK19,u1_struct_0(X0)) )
| ~ spl198_141 ),
inference(avatar_component_clause,[],[f70115]) ).
fof(f70117,plain,
( spl198_141
| ~ spl198_50
| ~ spl198_53
| spl198_63
| spl198_73 ),
inference(avatar_split_clause,[],[f60566,f60545,f57954,f54362,f52450,f70115]) ).
fof(f70125,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| v3_struct_0(sK17)
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| ~ spl198_141 ),
inference(resolution,[],[f70116,f34230]) ).
fof(f70138,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| ~ v1_group_1(sK17)
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70125,f35321]) ).
fof(f70147,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| ~ v3_group_1(sK17)
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70138,f36910]) ).
fof(f70154,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| ~ v4_group_1(sK17)
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_8
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70147,f37009]) ).
fof(f70160,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| ~ l1_group_1(sK17)
| spl198_1
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70154,f37774]) ).
fof(f70162,plain,
( ~ m1_subset_1(sK19,u1_struct_0(k5_autgroup(sK17)))
| spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70160,f36905]) ).
fof(f70164,plain,
( ~ m1_subset_1(sK19,k4_autgroup(sK17))
| spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_13
| ~ spl198_141 ),
inference(forward_demodulation,[],[f70162,f38337]) ).
fof(f70166,plain,
( $false
| spl198_1
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_13
| ~ spl198_141 ),
inference(forward_subsumption_resolution,[],[f70164,f36700]) ).
fof(f70167,plain,
( spl198_1
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_13
| ~ spl198_141 ),
inference(avatar_contradiction_clause,[],[f70166]) ).
cnf(s1,plain,
~ spl198_1,
inference(sat_conversion,[],[f35322]) ).
cnf(s2,plain,
~ spl198_2,
inference(sat_conversion,[],[f35327]) ).
cnf(s3,plain,
spl198_3,
inference(sat_conversion,[],[f36695]) ).
cnf(s4,plain,
( spl198_1
| ~ spl198_3
| spl198_4 ),
inference(sat_conversion,[],[f36701]) ).
cnf(s5,plain,
spl198_5,
inference(sat_conversion,[],[f36906]) ).
cnf(s6,plain,
spl198_6,
inference(sat_conversion,[],[f36911]) ).
cnf(s7,plain,
spl198_7,
inference(sat_conversion,[],[f36916]) ).
cnf(s8,plain,
spl198_8,
inference(sat_conversion,[],[f37010]) ).
cnf(s9,plain,
spl198_9,
inference(sat_conversion,[],[f37775]) ).
cnf(s13,plain,
( spl198_1
| spl198_13 ),
inference(sat_conversion,[],[f38338]) ).
cnf(s17,plain,
( spl198_1
| ~ spl198_5
| ~ spl198_6
| ~ spl198_7
| spl198_17 ),
inference(sat_conversion,[],[f39490]) ).
cnf(s20,plain,
( spl198_1
| spl198_20 ),
inference(sat_conversion,[],[f40098]) ).
cnf(s49,plain,
( spl198_1
| spl198_50 ),
inference(sat_conversion,[],[f52453]) ).
cnf(s55,plain,
( spl198_1
| spl198_53 ),
inference(sat_conversion,[],[f54365]) ).
cnf(s65,plain,
( spl198_1
| ~ spl198_63 ),
inference(sat_conversion,[],[f57957]) ).
cnf(s74,plain,
( spl198_1
| ~ spl198_13
| ~ spl198_20
| spl198_72 ),
inference(sat_conversion,[],[f59917]) ).
cnf(s75,plain,
( spl198_1
| spl198_2
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_17
| ~ spl198_72
| ~ spl198_73 ),
inference(sat_conversion,[],[f60548]) ).
cnf(s145,plain,
( ~ spl198_50
| ~ spl198_53
| spl198_63
| spl198_73
| spl198_141 ),
inference(sat_conversion,[],[f70117]) ).
cnf(s147,plain,
( spl198_1
| ~ spl198_4
| ~ spl198_5
| ~ spl198_6
| ~ spl198_8
| ~ spl198_9
| ~ spl198_13
| ~ spl198_141 ),
inference(sat_conversion,[],[f70167]) ).
cnf(s180,plain,
~ spl198_63,
inference(rat,[],[s65,s1]) ).
cnf(s184,plain,
spl198_53,
inference(rat,[],[s55,s1]) ).
cnf(s186,plain,
spl198_50,
inference(rat,[],[s49,s1]) ).
cnf(s199,plain,
spl198_20,
inference(rat,[],[s20,s1]) ).
cnf(s202,plain,
spl198_17,
inference(rat,[],[s17,s5,s7,s6,s1]) ).
cnf(s204,plain,
spl198_13,
inference(rat,[],[s13,s1]) ).
cnf(s207,plain,
spl198_4,
inference(rat,[],[s4,s3,s1]) ).
cnf(s236,plain,
spl198_72,
inference(rat,[],[s74,s199,s1,s204]) ).
cnf(s242,plain,
~ spl198_141,
inference(rat,[],[s147,s204,s1,s9,s8,s6,s5,s207]) ).
cnf(s255,plain,
~ spl198_73,
inference(rat,[],[s75,s207,s202,s1,s9,s8,s6,s5,s2,s236]) ).
cnf(s256,plain,
$false,
inference(rat,[],[s145,s186,s184,s180,s242,s255]) ).
fof(f70171,plain,
$false,
inference(avatar_sat_refutation,[],[s256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP628+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n003.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 10:16:36 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 17.87/5.14 % (285744)Detected formulas, will run a generic FOF schedule.
% 17.87/5.14 % (285754)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1684344015:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 17.87/5.14 % (285750)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=2417554084:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 17.87/5.14 % (285749)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=2582261247:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 17.87/5.14 % (285754)Instruction limit reached!
% 17.87/5.14 % (285754)------------------------------
% 17.87/5.14 % (285754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/5.14 % (285754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/5.14 % (285754)CaDiCaL version: 2.1.3
% 17.87/5.14 % (285754)Termination reason: Instruction limit
% 17.87/5.14 % (285754)Termination phase: Property scanning
% 17.87/5.14 % (285754)Time elapsed: 0.035 s
% 17.87/5.14 % (285754)Peak memory usage: 133 MB
% 17.87/5.14 % (285754)Instructions burned: 143 (million)
% 17.87/5.14 % (285751)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=3240462838:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 17.87/5.14 % (285752)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=636514610:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 17.87/5.14 % (285753)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3646665361:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 17.87/5.14 % (285755)dis-21_1_sil=8000:lcm=predicate:random_seed=2830727801:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 17.87/5.14 % (285752)Instruction limit reached!
% 17.87/5.14 % (285752)------------------------------
% 17.87/5.14 % (285752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/5.14 % (285752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/5.14 % (285752)CaDiCaL version: 2.1.3
% 17.87/5.14 % (285752)Termination reason: Instruction limit
% 17.87/5.14 % (285752)Termination phase: SInE selection
% 17.87/5.14 % (285752)Time elapsed: 0.082 s
% 17.87/5.14 % (285752)Peak memory usage: 133 MB
% 17.87/5.14 % (285752)Instructions burned: 110 (million)
% 17.87/5.14 % (285753)Instruction limit reached!
% 17.87/5.14 % (285753)------------------------------
% 17.87/5.14 % (285753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/5.14 % (285753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/5.14 % (285753)CaDiCaL version: 2.1.3
% 17.87/5.14 % (285753)Termination reason: Instruction limit
% 17.87/5.14 % (285753)Termination phase: SInE selection
% 17.87/5.14 % (285753)Time elapsed: 0.089 s
% 17.87/5.14 % (285753)Peak memory usage: 133 MB
% 17.87/5.14 % (285753)Instructions burned: 120 (million)
% 17.87/5.14 % (285755)Instruction limit reached!
% 17.87/5.14 % (285755)------------------------------
% 17.87/5.14 % (285755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/5.14 % (285755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/5.14 % (285755)CaDiCaL version: 2.1.3
% 17.87/5.14 % (285755)Termination reason: Instruction limit
% 17.87/5.14 % (285755)Termination phase: SInE selection
% 17.87/5.14 % (285755)Time elapsed: 0.094 s
% 17.87/5.14 % (285755)Peak memory usage: 133 MB
% 17.87/5.14 % (285755)Instructions burned: 129 (million)
% 17.87/5.14 % (285759)lrs+10_1_sil=8000:sp=occurrence:random_seed=2633841701:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 17.87/5.14 % (285765)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2453113869:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 17.87/5.14 % (285764)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1475607983:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 17.87/5.14 % (285766)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=731844729:s2a=on:i=248:s2at=1.23:gtg=position_2976 on theBenchmark for (2976ds/248Mi)
% 17.87/5.14 % (285759)Instruction limit reached!
% 17.87/5.14 % (285759)------------------------------
% 17.99/6.20 % (285759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285759)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285759)Termination reason: Instruction limit
% 17.99/6.20 % (285759)Termination phase: Preprocessing 3
% 17.99/6.20 % (285759)Time elapsed: 0.137 s
% 17.99/6.20 % (285759)Peak memory usage: 138 MB
% 17.99/6.20 % (285759)Instructions burned: 288 (million)
% 17.99/6.20 % (285764)Instruction limit reached!
% 17.99/6.20 % (285764)------------------------------
% 17.99/6.20 % (285764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285764)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285764)Termination reason: Instruction limit
% 17.99/6.20 % (285764)Termination phase: Property scanning
% 17.99/6.20 % (285764)Time elapsed: 0.069 s
% 17.99/6.20 % (285764)Peak memory usage: 133 MB
% 17.99/6.20 % (285764)Instructions burned: 159 (million)
% 17.99/6.20 % (285766)Instruction limit reached!
% 17.99/6.20 % (285766)------------------------------
% 17.99/6.20 % (285766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285766)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285766)Termination reason: Instruction limit
% 17.99/6.20 % (285766)Termination phase: Property scanning
% 17.99/6.20 % (285766)Time elapsed: 0.110 s
% 17.99/6.20 % (285766)Peak memory usage: 133 MB
% 17.99/6.20 % (285766)Instructions burned: 250 (million)
% 17.99/6.20 % (285771)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=354629065:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 17.99/6.20 % (285772)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2862771832:i=2350_2974 on theBenchmark for (2974ds/2350Mi)
% 17.99/6.20 % (285765)Instruction limit reached!
% 17.99/6.20 % (285765)------------------------------
% 17.99/6.20 % (285765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285765)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285765)Termination reason: Instruction limit
% 17.99/6.20 % (285765)Termination phase: Saturation
% 17.99/6.20 % (285765)Time elapsed: 0.253 s
% 17.99/6.20 % (285765)Peak memory usage: 141 MB
% 17.99/6.20 % (285765)Instructions burned: 326 (million)
% 17.99/6.20 % (285771)Instruction limit reached!
% 17.99/6.20 % (285771)------------------------------
% 17.99/6.20 % (285771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285771)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285771)Termination reason: Instruction limit
% 17.99/6.20 % (285771)Termination phase: SInE selection
% 17.99/6.20 % (285771)Time elapsed: 0.104 s
% 17.99/6.20 % (285771)Peak memory usage: 134 MB
% 17.99/6.20 % (285771)Instructions burned: 296 (million)
% 17.99/6.20 % (285773)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=653641154:cts=off:i=113:fsr=off:ss=included:sgt=4_2973 on theBenchmark for (2973ds/113Mi)
% 17.99/6.20 % (285777)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3732845995:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 17.99/6.20 % (285776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2257357446:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 17.99/6.20 % (285773)Instruction limit reached!
% 17.99/6.20 % (285773)------------------------------
% 17.99/6.20 % (285773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285773)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285773)Termination reason: Instruction limit
% 17.99/6.20 % (285773)Termination phase: SInE selection
% 17.99/6.20 % (285773)Time elapsed: 0.087 s
% 17.99/6.20 % (285773)Peak memory usage: 133 MB
% 17.99/6.20 % (285773)Instructions burned: 114 (million)
% 17.99/6.20 % (285777)Instruction limit reached!
% 17.99/6.20 % (285777)------------------------------
% 17.99/6.20 % (285777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285777)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285777)Termination reason: Instruction limit
% 17.99/6.20 % (285777)Termination phase: Property scanning
% 17.99/6.20 % (285777)Time elapsed: 0.028 s
% 17.99/6.20 % (285777)Peak memory usage: 133 MB
% 17.99/6.20 % (285777)Instructions burned: 116 (million)
% 17.99/6.20 % (285776)Instruction limit reached!
% 17.99/6.20 % (285776)------------------------------
% 17.99/6.20 % (285776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285776)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285776)Termination reason: Instruction limit
% 17.99/6.20 % (285776)Termination phase: Preprocessing 1
% 17.99/6.20 % (285776)Time elapsed: 0.096 s
% 17.99/6.20 % (285776)Peak memory usage: 136 MB
% 17.99/6.20 % (285776)Instructions burned: 127 (million)
% 17.99/6.20 % (285782)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2757216143:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 17.99/6.20 % (285781)lrs+10_1_sil=8000:sp=occurrence:random_seed=815865823:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 17.99/6.20 % (285783)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1355256994:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 17.99/6.20 % (285782)Instruction limit reached!
% 17.99/6.20 % (285782)------------------------------
% 17.99/6.20 % (285782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285782)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285782)Termination reason: Instruction limit
% 17.99/6.20 % (285782)Termination phase: Saturation
% 17.99/6.20 % (285782)Time elapsed: 0.163 s
% 17.99/6.20 % (285782)Peak memory usage: 141 MB
% 17.99/6.20 % (285782)Instructions burned: 441 (million)
% 17.99/6.20 % (285787)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3344696995:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2967 on theBenchmark for (2967ds/134Mi)
% 17.99/6.20 % (285787)Instruction limit reached!
% 17.99/6.20 % (285787)------------------------------
% 17.99/6.20 % (285787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285787)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285787)Termination reason: Instruction limit
% 17.99/6.20 % (285787)Termination phase: SInE selection
% 17.99/6.20 % (285787)Time elapsed: 0.097 s
% 17.99/6.20 % (285787)Peak memory usage: 133 MB
% 17.99/6.20 % (285787)Instructions burned: 135 (million)
% 17.99/6.20 % (285781)Instruction limit reached!
% 17.99/6.20 % (285781)------------------------------
% 17.99/6.20 % (285781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285781)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285781)Termination reason: Instruction limit
% 17.99/6.20 % (285781)Termination phase: Property scanning
% 17.99/6.20 % (285781)Time elapsed: 0.569 s
% 17.99/6.20 % (285781)Peak memory usage: 154 MB
% 17.99/6.20 % (285781)Instructions burned: 907 (million)
% 17.99/6.20 % (285789)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2737457104:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 17.99/6.20 % (285790)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3143980519:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 17.99/6.20 % (285789)Instruction limit reached!
% 17.99/6.20 % (285789)------------------------------
% 17.99/6.20 % (285789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285789)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285789)Termination reason: Instruction limit
% 17.99/6.20 % (285789)Termination phase: Preprocessing 2
% 17.99/6.20 % (285789)Time elapsed: 0.448 s
% 17.99/6.20 % (285789)Peak memory usage: 142 MB
% 17.99/6.20 % (285789)Instructions burned: 593 (million)
% 17.99/6.20 % (285772)Instruction limit reached!
% 17.99/6.20 % (285772)------------------------------
% 17.99/6.20 % (285772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285772)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285772)Termination reason: Instruction limit
% 17.99/6.20 % (285772)Termination phase: Property scanning
% 17.99/6.20 % (285772)Time elapsed: 1.516 s
% 17.99/6.20 % (285772)Peak memory usage: 227 MB
% 17.99/6.20 % (285772)Instructions burned: 2352 (million)
% 17.99/6.20 % (285793)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=2878949388:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/125Mi)
% 17.99/6.20 % (285793)Instruction limit reached!
% 17.99/6.20 % (285793)------------------------------
% 17.99/6.20 % (285793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285793)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285793)Termination reason: Instruction limit
% 17.99/6.20 % (285793)Termination phase: Property scanning
% 17.99/6.20 % (285793)Time elapsed: 0.057 s
% 17.99/6.20 % (285793)Peak memory usage: 133 MB
% 17.99/6.20 % (285793)Instructions burned: 127 (million)
% 17.99/6.20 % (285794)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=34413911:i=134:gtgl=5:slsql=off:gtg=exists_sym_2957 on theBenchmark for (2957ds/134Mi)
% 17.99/6.20 % (285794)Instruction limit reached!
% 17.99/6.20 % (285794)------------------------------
% 17.99/6.20 % (285794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285794)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285794)Termination reason: Instruction limit
% 17.99/6.20 % (285794)Termination phase: Property scanning
% 17.99/6.20 % (285794)Time elapsed: 0.059 s
% 17.99/6.20 % (285794)Peak memory usage: 133 MB
% 17.99/6.20 % (285794)Instructions burned: 134 (million)
% 17.99/6.20 % (285796)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2386991997:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 17.99/6.20 % (285796)Instruction limit reached!
% 17.99/6.20 % (285796)------------------------------
% 17.99/6.20 % (285796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285796)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285796)Termination reason: Instruction limit
% 17.99/6.20 % (285796)Termination phase: SInE selection
% 17.99/6.20 % (285796)Time elapsed: 0.103 s
% 17.99/6.20 % (285796)Peak memory usage: 133 MB
% 17.99/6.20 % (285796)Instructions burned: 141 (million)
% 17.99/6.20 % (285799)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3540588836:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 17.99/6.20 % (285800)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2712693017:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 17.99/6.20 % (285799)Refutation not found, incomplete strategy
% 17.99/6.20 % (285799)------------------------------
% 17.99/6.20 % (285799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.99/6.20 % (285799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/6.20 % (285799)CaDiCaL version: 2.1.3
% 17.99/6.20 % (285799)Termination reason: Refutation not found, incomplete strategy
% 17.99/6.20 % (285799)Time elapsed: 0.199 s
% 17.99/6.20 % (285799)Peak memory usage: 139 MB
% 17.99/6.20 % (285799)Instructions burned: 244 (million)
% 17.99/6.20 % (285751)First to succeed.
% 17.99/6.20 % (285751)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-285744"
% 17.99/6.20 % (285799)------------------------------
% 17.99/6.20 % (285799)------------------------------
% 17.99/6.20 % (285751)Refutation found. Thanks to Tanya!
% 17.99/6.20 % SZS status Theorem for theBenchmark
% 17.99/6.20 % SZS output start Proof for theBenchmark
% See solution above
% 25.59/6.44 % (285751)------------------------------
% 25.59/6.44 % (285751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.59/6.44 % (285751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.59/6.44 % (285751)CaDiCaL version: 2.1.3
% 25.59/6.44 % (285751)Termination reason: Refutation
% 25.59/6.44 % (285751)Time elapsed: 2.850 s
% 25.59/6.44 % (285751)Peak memory usage: 228 MB
% 25.59/6.44 % (285751)Instructions burned: 7541 (million)
% 25.59/6.44 % (285751)------------------------------
% 25.59/6.44 % (285751)------------------------------
% 25.59/6.44 % (285744)Success in time 5.31 s
% 25.59/6.44 % Vampire exiting
%------------------------------------------------------------------------------