%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP629+3 : 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 : n016.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 3.40s 2.84s
% Output : Refutation 6.14s
% 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(f7368,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(f7471,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(f12904,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(f12907,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(f12908,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)],[f12907]) ).
fof(f12917,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,[],[f12908]) ).
fof(f12918,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,[],[f12917]) ).
fof(f12945,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,[],[f7471]) ).
fof(f12946,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,[],[f12945]) ).
fof(f12971,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,[],[f7368]) ).
fof(f12972,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,[],[f12971]) ).
fof(f12977,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,[],[f12904]) ).
fof(f12978,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,[],[f12977]) ).
fof(f12986,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)],[f12918]) ).
fof(f13005,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,[],[f12972]) ).
fof(f13006,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,[],[f13005]) ).
fof(f13010,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f12986]) ).
fof(f13011,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f12986]) ).
fof(f13012,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f12986]) ).
fof(f13013,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f12986]) ).
fof(f13014,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f12986]) ).
fof(f13015,plain,
m1_subset_1(sK3,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f12986]) ).
fof(f13016,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,[],[f12986]) ).
fof(f13059,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,[],[f12946]) ).
fof(f13080,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,[],[f13006]) ).
fof(f13085,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,[],[f12978]) ).
fof(f13090,definition,
~ sP14(k6_autgroup(sK2,k2_group_1(sK2))),
introduced(definition,[new_symbols(definition,[sP14])],[inequality_splitting_name_introduction]) ).
fof(f13091,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,[],[f13016,f13090]) ).
fof(f13098,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,[],[f13080]) ).
fof(f13100,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,[],[f13090,f13098]) ).
fof(f13110,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,[],[f13100,f13014]) ).
fof(f13114,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,[],[f13110,f13012]) ).
fof(f13118,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,[],[f13114,f13011]) ).
fof(f13122,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,[],[f13118,f13010]) ).
fof(f13126,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,[],[f13091,f13085]) ).
fof(f13127,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,[],[f13126,f13122]) ).
fof(f13130,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,[],[f13127,f13015]) ).
fof(f13132,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,[],[f13130,f13014]) ).
fof(f13134,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,[],[f13132,f13013]) ).
fof(f13136,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,[],[f13134,f13012]) ).
fof(f13138,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f13136,f13011]) ).
fof(f13139,plain,
~ m1_subset_1(k3_group_1(sK2,sK3),u1_struct_0(sK2)),
inference(forward_subsumption_resolution,[],[f13138,f13010]) ).
fof(f13140,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,[],[f13139,f13059]) ).
fof(f13145,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,[],[f13140,f13014]) ).
fof(f13147,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f13145,f13012]) ).
fof(f13149,plain,
( ~ l1_group_1(sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f13147,f13011]) ).
fof(f13151,plain,
~ m1_subset_1(sK3,u1_struct_0(sK2)),
inference(forward_subsumption_resolution,[],[f13149,f13010]) ).
fof(f13153,plain,
$false,
inference(forward_subsumption_resolution,[],[f13151,f13015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP629+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:20:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/2.84 % (2415720)Detected formulas, will run a generic FOF schedule.
% 3.40/2.84 % (2415759)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1388651007:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 3.40/2.84 % (2415756)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=2634906156:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 3.40/2.84 % (2415757)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=1665967351:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 3.40/2.84 % (2415759)First to succeed.
% 3.40/2.84 % (2415759)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2415720"
% 3.40/2.84 % (2415758)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=860964805:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 3.40/2.84 % (2415761)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1195471293:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 3.40/2.84 % (2415760)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=281894331:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 3.40/2.84 % (2415762)dis-21_1_sil=8000:lcm=predicate:random_seed=3611701783:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 3.40/2.84 % (2415761)Instruction limit reached!
% 3.40/2.84 % (2415761)------------------------------
% 3.40/2.84 % (2415761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/2.84 % (2415761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/2.84 % (2415761)CaDiCaL version: 2.1.3
% 3.40/2.84 % (2415761)Termination reason: Instruction limit
% 3.40/2.84 % (2415761)Termination phase: Property scanning
% 3.40/2.84 % (2415761)Time elapsed: 0.114 s
% 3.40/2.84 % (2415761)Peak memory usage: 101 MB
% 3.40/2.84 % (2415761)Instructions burned: 140 (million)
% 3.40/2.84 % (2415760)Instruction limit reached!
% 3.40/2.84 % (2415760)------------------------------
% 3.40/2.84 % (2415760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/2.84 % (2415760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/2.84 % (2415760)CaDiCaL version: 2.1.3
% 3.40/2.84 % (2415760)Termination reason: Instruction limit
% 3.40/2.84 % (2415760)Termination phase: Preprocessing 3
% 3.40/2.84 % (2415760)Time elapsed: 0.157 s
% 3.40/2.84 % (2415760)Peak memory usage: 104 MB
% 3.40/2.84 % (2415760)Instructions burned: 119 (million)
% 3.40/2.84 % (2415762)Instruction limit reached!
% 3.40/2.84 % (2415762)------------------------------
% 3.40/2.84 % (2415762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/2.84 % (2415762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/2.84 % (2415762)CaDiCaL version: 2.1.3
% 3.40/2.84 % (2415762)Termination reason: Instruction limit
% 3.40/2.84 % (2415762)Termination phase: Preprocessing 1
% 3.40/2.84 % (2415762)Time elapsed: 0.155 s
% 3.40/2.84 % (2415762)Peak memory usage: 102 MB
% 3.40/2.84 % (2415762)Instructions burned: 129 (million)
% 3.40/2.84 % (2415759)Refutation found. Thanks to Tanya!
% 3.40/2.84 % SZS status Theorem for theBenchmark
% 3.40/2.84 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/3.23 % (2415759)------------------------------
% 6.14/3.23 % (2415759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/3.23 % (2415759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/3.23 % (2415759)CaDiCaL version: 2.1.3
% 6.14/3.23 % (2415759)Termination reason: Refutation
% 6.14/3.23 % (2415759)Time elapsed: 0.065 s
% 6.14/3.23 % (2415759)Peak memory usage: 106 MB
% 6.14/3.23 % (2415759)Instructions burned: 88 (million)
% 6.14/3.23 % (2415759)------------------------------
% 6.14/3.23 % (2415759)------------------------------
% 6.14/3.23 % (2415720)Success in time 1.781 s
% 6.14/3.23 % Vampire exiting
%------------------------------------------------------------------------------