%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP631+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:15:07 AM UTC 2026
% Result : Theorem 7.78s 2.11s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 113 ( 27 unt; 2 def)
% Number of atoms : 472 ( 134 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 591 ( 232 ~; 250 |; 87 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-5 aty)
% Number of variables : 101 ( 0 sgn 85 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2655,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_group_1) ).
fof(f2673,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_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X1,X2) = X1
| k1_group_1(X0,X2,X1) = X1 )
=> X2 = k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_group_1) ).
fof(f2770,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f3822,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_autgroup) ).
fof(f3835,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f3838,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_autgroup) ).
fof(f3839,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f3844,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f3845,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f3844]) ).
fof(f3905,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_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,[],[f3822]) ).
fof(f3906,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_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,[],[f3905]) ).
fof(f3929,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_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(ennf_transformation,[],[f3835]) ).
fof(f3930,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_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(flattening,[],[f3929]) ).
fof(f3935,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3838]) ).
fof(f3936,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3935]) ).
fof(f3937,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3839]) ).
fof(f3938,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3937]) ).
fof(f3947,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3845]) ).
fof(f3948,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3947]) ).
fof(f4296,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2655]) ).
fof(f4297,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4296]) ).
fof(f4302,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2770]) ).
fof(f4303,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4302]) ).
fof(f4304,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(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,[],[f2673]) ).
fof(f4305,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(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,[],[f4304]) ).
fof(f5723,plain,
( ( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,sK23))
| k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k2_group_1(sK22))) )
& m1_subset_1(sK23,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& v1_group_1(sK22)
& v3_group_1(sK22)
& v4_group_1(sK22)
& l1_group_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f3948]) ).
fof(f5815,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f4297]) ).
fof(f5816,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,X4) = X5
& k1_group_1(X0,X4,X5) = X5
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k1_group_1(X0,X5,X6) = X4
& k1_group_1(X0,X6,X5) = X4 ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f5815]) ).
fof(f5817,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( sK90(X0,X1) != k1_group_1(X0,sK90(X0,X1),X1)
| sK90(X0,X1) != k1_group_1(X0,X1,sK90(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,sK90(X0,X1),X3) != X1
| k1_group_1(X0,X3,sK90(X0,X1)) != X1 ) )
& m1_subset_1(sK90(X0,X1),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK91(X0),u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,sK91(X0)) = X5
& k1_group_1(X0,sK91(X0),X5) = X5
& m1_subset_1(sK92(X0,X5),u1_struct_0(X0))
& sK91(X0) = k1_group_1(X0,X5,sK92(X0,X5))
& sK91(X0) = k1_group_1(X0,sK92(X0,X5),X5) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91,sK92]),skolemize(X2,sK90(X0,X1)),skolemize(X4,sK91(X0)),skolemize(X6,sK92(X0,X5))],[f5816]) ).
fof(f6340,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3906]) ).
fof(f6361,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3930]) ).
fof(f6366,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3936]) ).
fof(f6367,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k6_autgroup(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3938]) ).
fof(f6372,plain,
l1_group_1(sK22),
inference(cnf_transformation,[],[f5723]) ).
fof(f6373,plain,
v4_group_1(sK22),
inference(cnf_transformation,[],[f5723]) ).
fof(f6374,plain,
v3_group_1(sK22),
inference(cnf_transformation,[],[f5723]) ).
fof(f6375,plain,
v1_group_1(sK22),
inference(cnf_transformation,[],[f5723]) ).
fof(f6376,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f5723]) ).
fof(f6377,plain,
m1_subset_1(sK23,u1_struct_0(sK22)),
inference(cnf_transformation,[],[f5723]) ).
fof(f6378,plain,
( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,sK23))
| k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k2_group_1(sK22))) ),
inference(cnf_transformation,[],[f5723]) ).
fof(f6811,plain,
! [X0,X5] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,sK91(X0),X5) = X5
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5817]) ).
fof(f6812,plain,
! [X0,X5] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,X5,sK91(X0)) = X5
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5817]) ).
fof(f6813,plain,
! [X0] :
( m1_subset_1(sK91(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5817]) ).
fof(f6818,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4303]) ).
fof(f6819,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X2,X1) != X1
| k2_group_1(X0) = X2
| ~ m1_subset_1(X2,u1_struct_0(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,[],[f4305]) ).
fof(f9662,definition,
( spl346_9
<=> k6_autgroup(sK22,sK23) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k2_group_1(sK22))) ),
introduced(definition,[new_symbols(definition,[spl346_9])],[avatar_definition]) ).
fof(f9663,plain,
( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k2_group_1(sK22)))
| spl346_9 ),
inference(avatar_component_clause,[],[f9662]) ).
fof(f9665,definition,
( spl346_10
<=> k6_autgroup(sK22,sK23) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,sK23)) ),
introduced(definition,[new_symbols(definition,[spl346_10])],[avatar_definition]) ).
fof(f9666,plain,
( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,sK23))
| spl346_10 ),
inference(avatar_component_clause,[],[f9665]) ).
fof(f9667,plain,
( ~ spl346_9
| ~ spl346_10 ),
inference(avatar_split_clause,[],[f6378,f9665,f9662]) ).
fof(f9780,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ m1_subset_1(X1,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k1_group_1(sK22,X1,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X1),k6_autgroup(sK22,X0))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6373,f6366]) ).
fof(f9781,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ m1_subset_1(X1,u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k1_group_1(sK22,X1,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X1),k6_autgroup(sK22,X0))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9780,f6376]) ).
fof(f9782,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ m1_subset_1(X1,u1_struct_0(sK22))
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k1_group_1(sK22,X1,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X1),k6_autgroup(sK22,X0))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9781,f6375]) ).
fof(f9783,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| ~ m1_subset_1(X1,u1_struct_0(sK22))
| k6_autgroup(sK22,k1_group_1(sK22,X1,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X1),k6_autgroup(sK22,X0))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9782,f6374]) ).
fof(f9784,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK22))
| ~ m1_subset_1(X0,u1_struct_0(sK22))
| k6_autgroup(sK22,k1_group_1(sK22,X1,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,X1),k6_autgroup(sK22,X0)) ),
inference(forward_subsumption_resolution,[],[f9783,f6372]) ).
fof(f9785,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k6_autgroup(sK22,k1_group_1(sK22,sK23,X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,X0)) ),
inference(resolution,[],[f9784,f6377]) ).
fof(f9799,plain,
( v3_struct_0(sK22)
| m1_subset_1(k2_group_1(sK22),u1_struct_0(sK22)) ),
inference(resolution,[],[f6818,f6372]) ).
fof(f9800,plain,
m1_subset_1(k2_group_1(sK22),u1_struct_0(sK22)),
inference(forward_subsumption_resolution,[],[f9799,f6376]) ).
fof(f9803,plain,
k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,sK23),k6_autgroup(sK22,k2_group_1(sK22))) = k6_autgroup(sK22,k1_group_1(sK22,sK23,k2_group_1(sK22))),
inference(resolution,[],[f9800,f9785]) ).
fof(f9804,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),X0)) = k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,X0)) ),
inference(resolution,[],[f9800,f9784]) ).
fof(f9805,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6367,f6373]) ).
fof(f9806,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9805,f6376]) ).
fof(f9807,plain,
( ~ v3_group_1(sK22)
| k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9806,f6375]) ).
fof(f9808,plain,
( k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9807,f6374]) ).
fof(f9809,plain,
k6_autgroup(sK22,k2_group_1(sK22)) = k6_partfun1(u1_struct_0(sK22)),
inference(forward_subsumption_resolution,[],[f9808,f6372]) ).
fof(f9810,plain,
( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_partfun1(u1_struct_0(sK22)),k6_autgroup(sK22,sK23))
| spl346_10 ),
inference(superposition,[],[f9666,f9809]) ).
fof(f9812,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6361,f6373]) ).
fof(f9813,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9812,f6376]) ).
fof(f9814,plain,
( ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9813,f6375]) ).
fof(f9815,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9814,f6374]) ).
fof(f9816,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k5_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9815,f6372]) ).
fof(f9839,plain,
( v3_struct_0(sK22)
| ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6340,f6373]) ).
fof(f9840,plain,
( ~ v1_group_1(sK22)
| ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9839,f6376]) ).
fof(f9841,plain,
( ~ v3_group_1(sK22)
| k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9840,f6375]) ).
fof(f9842,plain,
( k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22))
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f9841,f6374]) ).
fof(f9843,plain,
k6_partfun1(u1_struct_0(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(forward_subsumption_resolution,[],[f9842,f6372]) ).
fof(f9845,plain,
k2_group_1(k5_autgroup(sK22)) = k2_group_1(k3_autgroup(sK22)),
inference(superposition,[],[f9816,f9843]) ).
fof(f9846,plain,
( k6_autgroup(sK22,sK23) != k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),k6_autgroup(sK22,sK23))
| spl346_10 ),
inference(superposition,[],[f9810,f9843]) ).
fof(f9854,plain,
k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_autgroup(sK22,k2_group_1(sK22)),k6_autgroup(sK22,sK23)) = k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),sK23)),
inference(resolution,[],[f9804,f6377]) ).
fof(f9857,plain,
k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k6_partfun1(u1_struct_0(sK22)),k6_autgroup(sK22,sK23)) = k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),sK23)),
inference(forward_demodulation,[],[f9854,f9809]) ).
fof(f9859,plain,
k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k5_autgroup(sK22)),k6_autgroup(sK22,sK23)) = k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),sK23)),
inference(forward_demodulation,[],[f9857,f9816]) ).
fof(f9861,plain,
k7_funct_2(u1_struct_0(sK22),u1_struct_0(sK22),u1_struct_0(sK22),k2_group_1(k3_autgroup(sK22)),k6_autgroup(sK22,sK23)) = k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),sK23)),
inference(forward_demodulation,[],[f9859,f9845]) ).
fof(f9863,plain,
( k6_autgroup(sK22,sK23) != k6_autgroup(sK22,k1_group_1(sK22,k2_group_1(sK22),sK23))
| spl346_10 ),
inference(superposition,[],[f9846,f9861]) ).
fof(f10209,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,sK91(sK22),X0) = X0
| v3_struct_0(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6811,f6374]) ).
fof(f10215,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,sK91(sK22),X0) = X0
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10209,f6376]) ).
fof(f10216,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,sK91(sK22),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f10215,f6372]) ).
fof(f10217,plain,
sK23 = k1_group_1(sK22,sK91(sK22),sK23),
inference(resolution,[],[f10216,f6377]) ).
fof(f10221,plain,
( sK23 != sK23
| k2_group_1(sK22) = sK91(sK22)
| ~ m1_subset_1(sK91(sK22),u1_struct_0(sK22))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(superposition,[],[f6819,f10217]) ).
fof(f10222,plain,
( k2_group_1(sK22) = sK91(sK22)
| ~ m1_subset_1(sK91(sK22),u1_struct_0(sK22))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(trivial_inequality_removal,[],[f10221]) ).
fof(f10225,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,X0,sK91(sK22)) = X0
| v3_struct_0(sK22)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f6812,f6374]) ).
fof(f10231,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,X0,sK91(sK22)) = X0
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10225,f6376]) ).
fof(f10232,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK22))
| k1_group_1(sK22,X0,sK91(sK22)) = X0 ),
inference(forward_subsumption_resolution,[],[f10231,f6372]) ).
fof(f10233,plain,
sK23 = k1_group_1(sK22,sK23,sK91(sK22)),
inference(resolution,[],[f10232,f6377]) ).
fof(f10294,plain,
( k2_group_1(sK22) = sK91(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10222,f6813]) ).
fof(f10313,plain,
( k2_group_1(sK22) = sK91(sK22)
| v3_struct_0(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10294,f6377]) ).
fof(f10328,plain,
( k2_group_1(sK22) = sK91(sK22)
| ~ v3_group_1(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10313,f6376]) ).
fof(f10342,plain,
( k2_group_1(sK22) = sK91(sK22)
| ~ v4_group_1(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10328,f6374]) ).
fof(f10356,plain,
( k2_group_1(sK22) = sK91(sK22)
| ~ l1_group_1(sK22) ),
inference(forward_subsumption_resolution,[],[f10342,f6373]) ).
fof(f10370,plain,
k2_group_1(sK22) = sK91(sK22),
inference(forward_subsumption_resolution,[],[f10356,f6372]) ).
fof(f10419,plain,
sK23 = k1_group_1(sK22,sK23,k2_group_1(sK22)),
inference(superposition,[],[f10233,f10370]) ).
fof(f10421,plain,
sK23 = k1_group_1(sK22,k2_group_1(sK22),sK23),
inference(superposition,[],[f10217,f10370]) ).
fof(f10434,plain,
( k6_autgroup(sK22,sK23) != k6_autgroup(sK22,sK23)
| spl346_10 ),
inference(superposition,[],[f9863,f10421]) ).
fof(f10436,plain,
( $false
| spl346_10 ),
inference(trivial_inequality_removal,[],[f10434]) ).
fof(f10437,plain,
spl346_10,
inference(avatar_contradiction_clause,[],[f10436]) ).
fof(f10438,plain,
( k6_autgroup(sK22,sK23) != k6_autgroup(sK22,k1_group_1(sK22,sK23,k2_group_1(sK22)))
| spl346_9 ),
inference(forward_demodulation,[],[f9663,f9803]) ).
fof(f10439,plain,
( k6_autgroup(sK22,sK23) != k6_autgroup(sK22,sK23)
| spl346_9 ),
inference(forward_demodulation,[],[f10438,f10419]) ).
fof(f10440,plain,
( $false
| spl346_9 ),
inference(trivial_inequality_removal,[],[f10439]) ).
fof(f10441,plain,
spl346_9,
inference(avatar_contradiction_clause,[],[f10440]) ).
cnf(s5,plain,
( ~ spl346_9
| ~ spl346_10 ),
inference(sat_conversion,[],[f9667]) ).
cnf(s52,plain,
spl346_10,
inference(sat_conversion,[],[f10437]) ).
cnf(s53,plain,
spl346_9,
inference(sat_conversion,[],[f10441]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s5,s52,s53]) ).
fof(f10442,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP631+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:17:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/2.11 % (287074)Detected formulas, will run a generic FOF schedule.
% 7.78/2.11 % (287080)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=2902422082:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 7.78/2.11 % (287081)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=3577193438:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 7.78/2.11 % (287082)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=628452193:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 7.78/2.11 % (287083)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2833090986:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 7.78/2.11 % (287084)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3774690342:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 7.78/2.11 % (287079)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=4230767498:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 7.78/2.11 % (287085)dis-21_1_sil=8000:lcm=predicate:random_seed=2266872519: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)
% 7.78/2.11 % (287082)Instruction limit reached!
% 7.78/2.11 % (287082)------------------------------
% 7.78/2.11 % (287082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287082)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287082)Termination reason: Instruction limit
% 7.78/2.11 % (287082)Termination phase: Saturation
% 7.78/2.11 % (287082)Time elapsed: 0.065 s
% 7.78/2.11 % (287082)Peak memory usage: 93 MB
% 7.78/2.11 % (287082)Instructions burned: 110 (million)
% 7.78/2.11 % (287083)Instruction limit reached!
% 7.78/2.11 % (287083)------------------------------
% 7.78/2.11 % (287083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287083)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287083)Termination reason: Instruction limit
% 7.78/2.11 % (287083)Termination phase: Saturation
% 7.78/2.11 % (287083)Time elapsed: 0.077 s
% 7.78/2.11 % (287083)Peak memory usage: 94 MB
% 7.78/2.11 % (287083)Instructions burned: 119 (million)
% 7.78/2.11 % (287084)Instruction limit reached!
% 7.78/2.11 % (287084)------------------------------
% 7.78/2.11 % (287084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287084)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287084)Termination reason: Instruction limit
% 7.78/2.11 % (287084)Termination phase: Preprocessing 3
% 7.78/2.11 % (287084)Time elapsed: 0.084 s
% 7.78/2.11 % (287084)Peak memory usage: 94 MB
% 7.78/2.11 % (287084)Instructions burned: 140 (million)
% 7.78/2.11 % (287085)Instruction limit reached!
% 7.78/2.11 % (287085)------------------------------
% 7.78/2.11 % (287085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287085)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287085)Termination reason: Instruction limit
% 7.78/2.11 % (287085)Termination phase: Preprocessing 3
% 7.78/2.11 % (287085)Time elapsed: 0.087 s
% 7.78/2.11 % (287085)Peak memory usage: 94 MB
% 7.78/2.11 % (287085)Instructions burned: 129 (million)
% 7.78/2.11 % (287093)lrs+10_1_sil=8000:sp=occurrence:random_seed=2927712281:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.78/2.11 % (287094)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2258947217:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 7.78/2.11 % (287095)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1405013455:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.78/2.11 % (287096)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=1797855334:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.78/2.11 % (287094)Refutation not found, incomplete strategy
% 7.78/2.11 % (287094)------------------------------
% 7.78/2.11 % (287094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287094)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287094)Termination reason: Refutation not found, incomplete strategy
% 7.78/2.11 % (287094)Time elapsed: 0.043 s
% 7.78/2.11 % (287094)Peak memory usage: 93 MB
% 7.78/2.11 % (287094)Instructions burned: 78 (million)
% 7.78/2.11 % (287096)Instruction limit reached!
% 7.78/2.11 % (287096)------------------------------
% 7.78/2.11 % (287096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287096)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287096)Termination reason: Instruction limit
% 7.78/2.11 % (287096)Termination phase: Property scanning
% 7.78/2.11 % (287096)Time elapsed: 0.137 s
% 7.78/2.11 % (287096)Peak memory usage: 97 MB
% 7.78/2.11 % (287096)Instructions burned: 249 (million)
% 7.78/2.11 % (287093)Instruction limit reached!
% 7.78/2.11 % (287093)------------------------------
% 7.78/2.11 % (287093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287093)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287093)Termination reason: Instruction limit
% 7.78/2.11 % (287093)Termination phase: Saturation
% 7.78/2.11 % (287093)Time elapsed: 0.182 s
% 7.78/2.11 % (287093)Peak memory usage: 97 MB
% 7.78/2.11 % (287093)Instructions burned: 286 (million)
% 7.78/2.11 % (287095)Instruction limit reached!
% 7.78/2.11 % (287095)------------------------------
% 7.78/2.11 % (287095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287095)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287095)Termination reason: Instruction limit
% 7.78/2.11 % (287095)Termination phase: Saturation
% 7.78/2.11 % (287095)Time elapsed: 0.189 s
% 7.78/2.11 % (287095)Peak memory usage: 96 MB
% 7.78/2.11 % (287095)Instructions burned: 325 (million)
% 7.78/2.11 % (287094)------------------------------
% 7.78/2.11 % (287094)------------------------------
% 7.78/2.11 % (287101)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=334629242:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.78/2.11 % (287102)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2497167221:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 7.78/2.11 % (287103)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4211499875:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.78/2.11 % (287103)Instruction limit reached!
% 7.78/2.11 % (287103)------------------------------
% 7.78/2.11 % (287103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287103)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287103)Termination reason: Instruction limit
% 7.78/2.11 % (287103)Termination phase: Property scanning
% 7.78/2.11 % (287103)Time elapsed: 0.068 s
% 7.78/2.11 % (287103)Peak memory usage: 93 MB
% 7.78/2.11 % (287103)Instructions burned: 114 (million)
% 7.78/2.11 % (287104)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3430117106:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.78/2.11 % (287101)Instruction limit reached!
% 7.78/2.11 % (287101)------------------------------
% 7.78/2.11 % (287101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287101)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287101)Termination reason: Instruction limit
% 7.78/2.11 % (287101)Termination phase: Saturation
% 7.78/2.11 % (287101)Time elapsed: 0.171 s
% 7.78/2.11 % (287101)Peak memory usage: 96 MB
% 7.78/2.11 % (287101)Instructions burned: 295 (million)
% 7.78/2.11 % (287080)First to succeed.
% 7.78/2.11 % (287080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-287074"
% 7.78/2.11 % (287104)Instruction limit reached!
% 7.78/2.11 % (287104)------------------------------
% 7.78/2.11 % (287104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287104)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287104)Termination reason: Instruction limit
% 7.78/2.11 % (287104)Termination phase: Preprocessing 3
% 7.78/2.11 % (287104)Time elapsed: 0.085 s
% 7.78/2.11 % (287104)Peak memory usage: 96 MB
% 7.78/2.11 % (287104)Instructions burned: 127 (million)
% 7.78/2.11 % (287108)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=77089434:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 7.78/2.11 % (287110)lrs+10_1_sil=8000:sp=occurrence:random_seed=3003535566:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 7.78/2.11 % (287108)Instruction limit reached!
% 7.78/2.11 % (287108)------------------------------
% 7.78/2.11 % (287108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.78/2.11 % (287108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/2.11 % (287108)CaDiCaL version: 2.1.3
% 7.78/2.11 % (287108)Termination reason: Instruction limit
% 7.78/2.11 % (287108)Termination phase: Unused predicate definition removal
% 7.78/2.11 % (287108)Time elapsed: 0.057 s
% 7.78/2.11 % (287108)Peak memory usage: 89 MB
% 7.78/2.11 % (287108)Instructions burned: 115 (million)
% 7.78/2.11 % (287080)Refutation found. Thanks to Tanya!
% 7.78/2.11 % SZS status Theorem for theBenchmark
% 7.78/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.31 % (287080)------------------------------
% 0.15/2.31 % (287080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.31 % (287080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.31 % (287080)CaDiCaL version: 2.1.3
% 0.15/2.31 % (287080)Termination reason: Refutation
% 0.15/2.31 % (287080)Time elapsed: 0.795 s
% 0.15/2.31 % (287080)Peak memory usage: 168 MB
% 0.15/2.31 % (287080)Instructions burned: 2280 (million)
% 0.15/2.31 % (287080)------------------------------
% 0.15/2.31 % (287080)------------------------------
% 0.15/2.31 % (287074)Success in time 1.254 s
% 0.15/2.31 % Vampire exiting
%------------------------------------------------------------------------------