%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP629+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 2.29s 1.30s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 12 unt; 1 def)
% Number of atoms : 243 ( 34 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 347 ( 152 ~; 137 |; 44 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 53 ( 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2668,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))
=> ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_group_1) ).
fof(f2771,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
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/sandbox2/benchmark/theBenchmark.p',t23_autgroup) ).
fof(f3841,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,k3_group_1(X0,X1)),k6_autgroup(X0,X1)) = k6_autgroup(X0,k2_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_autgroup) ).
fof(f3842,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,k3_group_1(X0,X1)),k6_autgroup(X0,X1)) = k6_autgroup(X0,k2_group_1(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f3841]) ).
fof(f3846,plain,
? [X0] :
( ? [X1] :
( k6_autgroup(X0,k2_group_1(X0)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k3_group_1(X0,X1)),k6_autgroup(X0,X1))
& 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,[],[f3842]) ).
fof(f3847,plain,
? [X0] :
( ? [X1] :
( k6_autgroup(X0,k2_group_1(X0)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k3_group_1(X0,X1)),k6_autgroup(X0,X1))
& 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,[],[f3846]) ).
fof(f3870,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2771]) ).
fof(f3871,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3870]) ).
fof(f3896,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) )
| ~ 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,[],[f2668]) ).
fof(f3897,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) )
| ~ 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,[],[f3896]) ).
fof(f3902,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(f3903,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,[],[f3902]) ).
fof(f3911,plain,
( k6_autgroup(sK2,k2_group_1(sK2)) != k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),k6_autgroup(sK2,k3_group_1(sK2,sK3)),k6_autgroup(sK2,sK3))
& m1_subset_1(sK3,u1_struct_0(sK2))
& ~ v3_struct_0(sK2)
& v1_group_1(sK2)
& v3_group_1(sK2)
& v4_group_1(sK2)
& l1_group_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f3847]) ).
fof(f3930,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_group_1(X0,X1)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_group_1(X0,X2,X1) != k2_group_1(X0) )
& ( ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| k3_group_1(X0,X1) != 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(nnf_transformation,[],[f3897]) ).
fof(f3931,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_group_1(X0,X1)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_group_1(X0,X2,X1) != k2_group_1(X0) )
& ( ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| k3_group_1(X0,X1) != 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(flattening,[],[f3930]) ).
fof(f3935,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f3911]) ).
fof(f3936,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f3911]) ).
fof(f3937,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f3911]) ).
fof(f3938,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f3911]) ).
fof(f3939,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f3911]) ).
fof(f3940,plain,
m1_subset_1(sK3,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f3911]) ).
fof(f3941,plain,
k6_autgroup(sK2,k2_group_1(sK2)) != k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),k6_autgroup(sK2,k3_group_1(sK2,sK3)),k6_autgroup(sK2,sK3)),
inference(cnf_transformation,[],[f3911]) ).
fof(f3982,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3871]) ).
fof(f4003,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X2,X1) = k2_group_1(X0)
| k3_group_1(X0,X1) != 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,[],[f3931]) ).
fof(f4008,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f3903]) ).
fof(f4013,definition,
~ sP14(k6_autgroup(sK2,k2_group_1(sK2))),
introduced(definition,[new_symbols(definition,[sP14])],[inequality_splitting_name_introduction]) ).
fof(f4014,plain,
sP14(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),k6_autgroup(sK2,k3_group_1(sK2,sK3)),k6_autgroup(sK2,sK3))),
inference(inequality_splitting,[],[f3941,f4013]) ).
fof(f4021,plain,
! [X0,X1] :
( k2_group_1(X0) = k1_group_1(X0,k3_group_1(X0,X1),X1)
| ~ m1_subset_1(k3_group_1(X0,X1),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(equality_resolution,[],[f4003]) ).
fof(f4023,plain,
! [X0] :
( ~ sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,X0),X0)))
| ~ m1_subset_1(k3_group_1(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f4013,f4021]) ).
fof(f4033,plain,
! [X0] :
( ~ sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,X0),X0)))
| ~ m1_subset_1(k3_group_1(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4023,f3939]) ).
fof(f4037,plain,
! [X0] :
( ~ sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,X0),X0)))
| ~ m1_subset_1(k3_group_1(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4033,f3937]) ).
fof(f4041,plain,
! [X0] :
( ~ sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,X0),X0)))
| ~ m1_subset_1(k3_group_1(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4037,f3936]) ).
fof(f4045,plain,
! [X0] :
( ~ sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,X0),X0)))
| ~ m1_subset_1(k3_group_1(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f4041,f3935]) ).
fof(f4049,plain,
( sP14(k6_autgroup(sK2,k1_group_1(sK2,k3_group_1(sK2,sK3),sK3)))
| ~ m1_subset_1(sK3,u1_struct_0(sK2))
| ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f4014,f4008]) ).
fof(f4050,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK2))
| ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4049,f4045]) ).
fof(f4053,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4050,f3940]) ).
fof(f4055,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4053,f3939]) ).
fof(f4057,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4055,f3938]) ).
fof(f4059,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4057,f3937]) ).
fof(f4061,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f4059,f3936]) ).
fof(f4062,plain,
~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2)),
inference(forward_subsumption_resolution,[],[f4061,f3935]) ).
fof(f4063,plain,
( v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(resolution,[],[f4062,f3982]) ).
fof(f4068,plain,
( ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f4063,f3939]) ).
fof(f4070,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f4068,f3937]) ).
fof(f4072,plain,
( ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f4070,f3936]) ).
fof(f4074,plain,
~ m1_subset_1(sK3,u1_struct_0(sK2)),
inference(forward_subsumption_resolution,[],[f4072,f3935]) ).
fof(f4076,plain,
$false,
inference(forward_subsumption_resolution,[],[f4074,f3940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP629+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:16:57 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/1.30 % (286568)Detected formulas, will run a generic FOF schedule.
% 2.29/1.30 % (286576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2777133065:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.29/1.30 % (286576)First to succeed.
% 2.29/1.30 % (286576)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-286568"
% 2.29/1.30 % (286577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=24112920:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.29/1.30 % (286579)dis-21_1_sil=8000:lcm=predicate:random_seed=2446219749: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)
% 2.29/1.30 % (286578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1483668192:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.29/1.30 % (286575)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=1894343469:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.29/1.30 % (286573)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=128687509:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.29/1.30 % (286574)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=1787070216:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.29/1.30 % (286577)Instruction limit reached!
% 2.29/1.30 % (286577)------------------------------
% 2.29/1.30 % (286577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/1.30 % (286577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/1.30 % (286577)CaDiCaL version: 2.1.3
% 2.29/1.30 % (286577)Termination reason: Instruction limit
% 2.29/1.30 % (286577)Termination phase: Saturation
% 2.29/1.30 % (286577)Time elapsed: 0.078 s
% 2.29/1.30 % (286577)Peak memory usage: 94 MB
% 2.29/1.30 % (286577)Instructions burned: 119 (million)
% 2.29/1.30 % (286578)Instruction limit reached!
% 2.29/1.30 % (286578)------------------------------
% 2.29/1.30 % (286578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/1.30 % (286578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/1.30 % (286578)CaDiCaL version: 2.1.3
% 2.29/1.30 % (286578)Termination reason: Instruction limit
% 2.29/1.30 % (286578)Termination phase: Preprocessing 3
% 2.29/1.30 % (286578)Time elapsed: 0.089 s
% 2.29/1.30 % (286578)Peak memory usage: 94 MB
% 2.29/1.30 % (286578)Instructions burned: 140 (million)
% 2.29/1.30 % (286579)Instruction limit reached!
% 2.29/1.30 % (286579)------------------------------
% 2.29/1.30 % (286579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/1.30 % (286579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/1.30 % (286579)CaDiCaL version: 2.1.3
% 2.29/1.30 % (286579)Termination reason: Instruction limit
% 2.29/1.30 % (286579)Termination phase: Preprocessing 3
% 2.29/1.30 % (286579)Time elapsed: 0.089 s
% 2.29/1.30 % (286579)Peak memory usage: 94 MB
% 2.29/1.30 % (286579)Instructions burned: 130 (million)
% 2.29/1.30 % (286576)Refutation found. Thanks to Tanya!
% 2.29/1.30 % SZS status Theorem for theBenchmark
% 2.29/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/1.39 % (286576)------------------------------
% 2.29/1.39 % (286576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/1.39 % (286576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/1.39 % (286576)CaDiCaL version: 2.1.3
% 2.29/1.39 % (286576)Termination reason: Refutation
% 2.29/1.39 % (286576)Time elapsed: 0.014 s
% 2.29/1.39 % (286576)Peak memory usage: 93 MB
% 2.29/1.39 % (286576)Instructions burned: 33 (million)
% 2.29/1.39 % (286576)------------------------------
% 2.29/1.39 % (286576)------------------------------
% 2.29/1.39 % (286568)Success in time 0.432 s
% 2.29/1.39 % Vampire exiting
%------------------------------------------------------------------------------