%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 10:18:14 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 10 unt; 6 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 543 ( 231 ~; 246 |; 34 &)
% ( 8 <=>; 22 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f2,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_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f61,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f72]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X2,X3] :
( v1_group_3(sK1,sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK1))
| r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f129,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f130,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f131,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f132,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f133,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f134,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f135,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f136,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f137,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f138,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f73]) ).
fof(f226,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| m1_subset_1(sK26(X0,X1),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f227,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| m1_subset_1(sK26(X0,X1),u1_struct_0(X1))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f228,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK26(X0,X1),sK25(X0,X1)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| v1_group_3(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f229,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| m1_subset_1(sK25(X0,X1),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v1_group_3(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f232,definition,
( spl27_1
<=> ! [X2,X3] :
( ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f233,plain,
( ! [X2,X3] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X3,u1_struct_0(sK1)) )
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,definition,
( spl27_2
<=> v1_group_3(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f236,plain,
( ~ v1_group_3(sK1,sK0)
| spl27_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( v1_group_3(sK1,sK0)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f128,f235,f232]) ).
fof(f240,definition,
( spl27_3
<=> m1_subset_1(sK3,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f242,plain,
( m1_subset_1(sK3,u1_struct_0(sK0))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( spl27_3
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f129,f235,f240]) ).
fof(f245,definition,
( spl27_4
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f247,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( spl27_4
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f130,f235,f245]) ).
fof(f250,definition,
( spl27_5
<=> r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f252,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| spl27_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( ~ spl27_5
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f131,f235,f250]) ).
fof(f255,definition,
( spl27_6
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f257,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl27_6
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f132,f235,f255]) ).
fof(f559,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(resolution,[],[f230,f252]) ).
fof(f562,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f559,f135]) ).
fof(f563,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f562,f136]) ).
fof(f564,plain,
( v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f563,f137]) ).
fof(f565,plain,
( ~ m1_group_2(sK1,sK0)
| ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f564,f138]) ).
fof(f566,plain,
( ~ v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f565,f133]) ).
fof(f567,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ spl27_2
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f566,f237]) ).
fof(f568,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ spl27_2
| spl27_5
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f567,f257]) ).
fof(f569,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ spl27_2
| ~ spl27_3
| spl27_5
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f568,f242]) ).
fof(f570,plain,
( ~ l1_group_1(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| spl27_5
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f569,f247]) ).
fof(f571,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| spl27_5
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f570,f134]) ).
fof(f572,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| spl27_5
| ~ spl27_6 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f595,plain,
( ~ m1_subset_1(sK26(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK25(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK26(sK0,sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(resolution,[],[f233,f228]) ).
fof(f596,plain,
( ~ m1_subset_1(sK25(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK26(sK0,sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f595,f226]) ).
fof(f598,plain,
( ~ m1_subset_1(sK26(sK0,sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f596,f229]) ).
fof(f600,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f598,f227]) ).
fof(f603,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f600,f135]) ).
fof(f604,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f603,f136]) ).
fof(f605,plain,
( v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f604,f137]) ).
fof(f606,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f605,f138]) ).
fof(f607,plain,
( ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f606,f133]) ).
fof(f608,plain,
( v1_group_3(sK1,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f607,f134]) ).
fof(f609,plain,
( $false
| ~ spl27_1
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f608,f236]) ).
fof(f610,plain,
( ~ spl27_1
| spl27_2 ),
inference(avatar_contradiction_clause,[],[f609]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
( ~ spl27_2
| spl27_3 ),
inference(sat_conversion,[],[f243]) ).
cnf(s3,plain,
( ~ spl27_2
| spl27_4 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
( ~ spl27_2
| ~ spl27_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s5,plain,
( ~ spl27_2
| spl27_6 ),
inference(sat_conversion,[],[f258]) ).
cnf(s15,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| spl27_5
| ~ spl27_6 ),
inference(sat_conversion,[],[f572]) ).
cnf(s17,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f610]) ).
cnf(s18,plain,
~ spl27_2,
inference(rat,[],[s15,s2,s3,s4,s5]) ).
cnf(s19,plain,
~ spl27_1,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s18,s19]) ).
fof(f611,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:11:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45 % (278720)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (278733)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3632742070:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (278732)% WARNING: option uhcvi not known.
% 0.09/0.45 % (278731)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=187684555_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (278734)dis+10_1_sil=32000:sp=arity:random_seed=426530317:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (278736)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2226504820:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (278737)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1059523719:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (278735)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1881390140:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (278732)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2365693669:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % TRYING [3]
% 0.09/0.45 % (278735) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-278720-278735"...
% 0.09/0.45 % (278732) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-278720-278732"...
% 0.09/0.45 % (278734) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-278720-278734"...
% 0.09/0.45 % (278735)...printing done.
% 0.09/0.45 % (278732)...printing done.
% 0.09/0.45 % (278734)...printing done.
% 0.09/0.45 % (278735)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (278735)------------------------------
% 0.09/0.45 % (278735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (278735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (278735)CaDiCaL version: 2.1.3
% 0.09/0.45 % (278735)Termination reason: Refutation
% 0.09/0.45 % (278735)Time elapsed: 0.012 s
% 0.09/0.45 % (278735)Peak memory usage: 13 MB
% 0.09/0.45 % (278735)Instructions burned: 17 (million)
% 0.09/0.45 % (278720)Success in time 0.049 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------