TSTP Solution File: GRP643+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:49:53 EDT 2024
% Result : Theorem 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 14 unt; 0 def)
% Number of atoms : 393 ( 0 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 518 ( 197 ~; 195 |; 98 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 114 ( 90 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,plain,
$false,
inference(avatar_sat_refutation,[],[f192,f196,f201]) ).
fof(f201,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f199,f106]) ).
fof(f106,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f58,f81,f80,f79,f78]) ).
fof(f78,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rmwwQQvWJS/Vampire---4.8_28864',t21_latsubgr) ).
fof(f199,plain,
( ~ r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| spl11_2 ),
inference(subsumption_resolution,[],[f198,f104]) ).
fof(f104,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f82]) ).
fof(f198,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| spl11_2 ),
inference(resolution,[],[f191,f166]) ).
fof(f166,plain,
! [X0] :
( r1_rlvect_1(sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(subsumption_resolution,[],[f165,f98]) ).
fof(f98,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f165,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,X0)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f164,f99]) ).
fof(f99,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f164,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,X0)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f163,f101]) ).
fof(f101,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f163,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,X0)
| ~ l1_group_1(sK0)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f162,f103]) ).
fof(f103,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f162,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| r1_rlvect_1(sK1,X0)
| ~ l1_group_1(sK0)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f138,f100]) ).
fof(f100,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f138,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(sK1,X1)
| r1_rlvect_1(sK1,X0)
| ~ l1_group_1(X1)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(X1),sK1))
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f102,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X1)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| r1_rlvect_1(X1,X2)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rmwwQQvWJS/Vampire---4.8_28864',t18_latsubgr) ).
fof(f102,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f191,plain,
( ~ r1_rlvect_1(sK1,sK2)
| spl11_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl11_2
<=> r1_rlvect_1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f196,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f195,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f194,f107]) ).
fof(f107,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f82]) ).
fof(f194,plain,
( ~ r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
| spl11_1 ),
inference(subsumption_resolution,[],[f193,f105]) ).
fof(f105,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f82]) ).
fof(f193,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
| spl11_1 ),
inference(resolution,[],[f187,f166]) ).
fof(f187,plain,
( ~ r1_rlvect_1(sK1,sK3)
| spl11_1 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl11_1
<=> r1_rlvect_1(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f192,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f183,f189,f185]) ).
fof(f183,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ r1_rlvect_1(sK1,sK3) ),
inference(subsumption_resolution,[],[f182,f104]) ).
fof(f182,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,sK3) ),
inference(subsumption_resolution,[],[f177,f105]) ).
fof(f177,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,sK3) ),
inference(resolution,[],[f176,f108]) ).
fof(f108,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f82]) ).
fof(f176,plain,
! [X0,X1] :
( r2_hidden(k1_group_1(sK0,X0,X1),k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ r1_rlvect_1(sK1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X1) ),
inference(subsumption_resolution,[],[f175,f133]) ).
fof(f133,plain,
! [X0,X1] :
( m1_subset_1(k1_group_1(sK0,X1,X0),u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f132,f101]) ).
fof(f132,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| m1_subset_1(k1_group_1(sK0,X1,X0),u1_struct_0(sK0)) ),
inference(resolution,[],[f98,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.rmwwQQvWJS/Vampire---4.8_28864',dt_k1_group_1) ).
fof(f175,plain,
! [X0,X1] :
( r2_hidden(k1_group_1(sK0,X0,X1),k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(k1_group_1(sK0,X0,X1),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X1) ),
inference(subsumption_resolution,[],[f173,f103]) ).
fof(f173,plain,
! [X0,X1] :
( r2_hidden(k1_group_1(sK0,X0,X1),k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(k1_group_1(sK0,X0,X1),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,X1) ),
inference(resolution,[],[f171,f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,k1_group_1(sK0,X2,X1))
| ~ r1_rlvect_1(X0,X2)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ r1_rlvect_1(X0,X1) ),
inference(subsumption_resolution,[],[f136,f98]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ r1_rlvect_1(X0,X2)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| r1_rlvect_1(X0,k1_group_1(sK0,X2,X1))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f135,f99]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ r1_rlvect_1(X0,X2)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| r1_rlvect_1(X0,k1_group_1(sK0,X2,X1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f134,f101]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ r1_rlvect_1(X0,X2)
| ~ m1_group_2(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| r1_rlvect_1(X0,k1_group_1(sK0,X2,X1))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f100,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X0)
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X2)
& r1_rlvect_1(X3,X1) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rmwwQQvWJS/Vampire---4.8_28864',t59_group_2) ).
fof(f171,plain,
! [X0] :
( ~ r1_rlvect_1(sK1,X0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f170,f98]) ).
fof(f170,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ r1_rlvect_1(sK1,X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f169,f99]) ).
fof(f169,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ r1_rlvect_1(sK1,X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f168,f101]) ).
fof(f168,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ l1_group_1(sK0)
| ~ r1_rlvect_1(sK1,X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f167,f103]) ).
fof(f167,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ l1_group_1(sK0)
| ~ r1_rlvect_1(sK1,X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f139,f100]) ).
fof(f139,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(sK1,X1)
| r2_hidden(X0,k1_funct_1(k1_latsubgr(X1),sK1))
| ~ l1_group_1(X1)
| ~ r1_rlvect_1(sK1,X0)
| ~ v3_group_1(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f102,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X1)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:44:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.rmwwQQvWJS/Vampire---4.8_28864
% 0.59/0.75 % (29141)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75 % (29134)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (29136)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (29137)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75 % (29135)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75 % (29138)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (29139)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75 % (29141)First to succeed.
% 0.59/0.75 % (29139)Also succeeded, but the first one will report.
% 0.59/0.75 % (29141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29130"
% 0.59/0.75 % (29141)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Theorem for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (29141)------------------------------
% 0.59/0.75 % (29141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (29141)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (29141)Memory used [KB]: 1080
% 0.59/0.75 % (29141)Time elapsed: 0.005 s
% 0.59/0.75 % (29141)Instructions burned: 8 (million)
% 0.59/0.75 % (29130)Success in time 0.376 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------