TSTP Solution File: GRP641+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP641+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 : n024.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 05:49:51 EDT 2024
% Result : Theorem 0.64s 0.82s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 108 ( 12 unt; 0 def)
% Number of atoms : 460 ( 41 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 580 ( 228 ~; 241 |; 83 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 7 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 99 ( 88 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(avatar_sat_refutation,[],[f225,f298,f325,f341,f366,f380,f398]) ).
fof(f398,plain,
( spl17_5
| ~ spl17_6
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| spl17_5
| ~ spl17_6
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f396,f292]) ).
fof(f292,plain,
( l1_group_1(sK1)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl17_6
<=> l1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f396,plain,
( ~ l1_group_1(sK1)
| spl17_5
| ~ spl17_13 ),
inference(resolution,[],[f387,f197]) ).
fof(f197,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',dt_l1_group_1) ).
fof(f387,plain,
( ~ l1_struct_0(sK1)
| spl17_5
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f383,f288]) ).
fof(f288,plain,
( ~ v3_struct_0(sK1)
| spl17_5 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl17_5
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f383,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl17_13 ),
inference(resolution,[],[f358,f175]) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',fc1_struct_0) ).
fof(f358,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl17_13
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f380,plain,
( spl17_13
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f379,f222,f356]) ).
fof(f222,plain,
( spl17_2
<=> v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f379,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f224,f362]) ).
fof(f362,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(subsumption_resolution,[],[f360,f142]) ).
fof(f142,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
& 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])],[f61,f103,f102]) ).
fof(f102,plain,
( ? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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] :
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
& 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(f103,plain,
( ? [X1] :
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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) )
=> r2_hidden(k2_group_1(X0),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) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',t19_latsubgr) ).
fof(f360,plain,
( ~ v1_group_1(sK1)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(resolution,[],[f320,f143]) ).
fof(f143,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f320,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(subsumption_resolution,[],[f319,f138]) ).
fof(f138,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f319,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f318,f139]) ).
fof(f139,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f318,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f317,f141]) ).
fof(f141,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f317,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f206,f140]) ).
fof(f140,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f206,plain,
! [X3,X0] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ l1_group_1(X0)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f205,f147]) ).
fof(f147,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',dt_k1_latsubgr) ).
fof(f205,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f204,f148]) ).
fof(f148,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f204,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f203,f149]) ).
fof(f149,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f203,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',d1_latsubgr) ).
fof(f224,plain,
( v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f366,plain,
( spl17_1
| ~ spl17_7 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| spl17_1
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f363,f297]) ).
fof(f297,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl17_7
<=> m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f363,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| spl17_1 ),
inference(backward_demodulation,[],[f220,f362]) ).
fof(f220,plain,
( ~ m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
| spl17_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl17_1
<=> m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f341,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f339,f138]) ).
fof(f339,plain,
( v3_struct_0(sK0)
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f338,f139]) ).
fof(f338,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f337,f141]) ).
fof(f337,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_5 ),
inference(resolution,[],[f331,f143]) ).
fof(f331,plain,
( ! [X0] :
( ~ m1_group_2(sK1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_5 ),
inference(resolution,[],[f289,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',dt_m1_group_2) ).
fof(f289,plain,
( v3_struct_0(sK1)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f325,plain,
spl17_6,
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f324,plain,
( $false
| spl17_6 ),
inference(subsumption_resolution,[],[f323,f138]) ).
fof(f323,plain,
( v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f322,f139]) ).
fof(f322,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f321,f141]) ).
fof(f321,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(resolution,[],[f299,f143]) ).
fof(f299,plain,
( ! [X0] :
( ~ m1_group_2(sK1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| spl17_6 ),
inference(resolution,[],[f293,f158]) ).
fof(f158,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f293,plain,
( ~ l1_group_1(sK1)
| spl17_6 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f298,plain,
( spl17_5
| ~ spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f285,f295,f291,f287]) ).
fof(f285,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[],[f146,f280]) ).
fof(f280,plain,
k2_group_1(sK0) = k2_group_1(sK1),
inference(resolution,[],[f279,f143]) ).
fof(f279,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| k2_group_1(X0) = k2_group_1(sK0) ),
inference(subsumption_resolution,[],[f278,f138]) ).
fof(f278,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| k2_group_1(X0) = k2_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f277,f139]) ).
fof(f277,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| k2_group_1(X0) = k2_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f276,f141]) ).
fof(f276,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| k2_group_1(X0) = k2_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f145,f140]) ).
fof(f145,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| k2_group_1(X0) = k2_group_1(X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,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_group_2(X1,X0)
=> k2_group_1(X0) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',t53_group_2) ).
fof(f146,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',dt_k2_group_1) ).
fof(f225,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f214,f222,f218]) ).
fof(f214,plain,
( v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(resolution,[],[f166,f144]) ).
fof(f144,plain,
~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f166,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.9UeqeyYD54/Vampire---4.8_12198',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % 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 : n024.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 20:42:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 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.9UeqeyYD54/Vampire---4.8_12198
% 0.64/0.81 % (12635)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 (2995ds/56Mi)
% 0.64/0.81 % (12628)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 (2995ds/34Mi)
% 0.64/0.81 % (12631)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.81 % (12630)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81 % (12629)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 (2995ds/51Mi)
% 0.64/0.81 % (12632)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 (2995ds/34Mi)
% 0.64/0.81 % (12633)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.81 % (12634)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.64/0.81 % (12635)Refutation not found, incomplete strategy% (12635)------------------------------
% 0.64/0.81 % (12635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (12635)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (12635)Memory used [KB]: 1060
% 0.64/0.81 % (12635)Time elapsed: 0.002 s
% 0.64/0.81 % (12635)Instructions burned: 4 (million)
% 0.64/0.81 % (12635)------------------------------
% 0.64/0.81 % (12635)------------------------------
% 0.64/0.81 % (12638)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.64/0.81 % (12632)Refutation not found, incomplete strategy% (12632)------------------------------
% 0.64/0.81 % (12632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (12632)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (12632)Memory used [KB]: 1139
% 0.64/0.81 % (12632)Time elapsed: 0.005 s
% 0.64/0.81 % (12632)Instructions burned: 7 (million)
% 0.64/0.81 % (12628)Refutation not found, incomplete strategy% (12628)------------------------------
% 0.64/0.81 % (12628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (12628)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (12628)Memory used [KB]: 1067
% 0.64/0.81 % (12628)Time elapsed: 0.005 s
% 0.64/0.81 % (12628)Instructions burned: 7 (million)
% 0.64/0.81 % (12632)------------------------------
% 0.64/0.81 % (12632)------------------------------
% 0.64/0.81 % (12628)------------------------------
% 0.64/0.81 % (12628)------------------------------
% 0.64/0.82 % (12641)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.64/0.82 % (12642)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.82 % (12630)First to succeed.
% 0.64/0.82 % (12630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12454"
% 0.64/0.82 % (12630)Refutation found. Thanks to Tanya!
% 0.64/0.82 % SZS status Theorem for Vampire---4
% 0.64/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82 % (12630)------------------------------
% 0.64/0.82 % (12630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (12630)Termination reason: Refutation
% 0.64/0.82
% 0.64/0.82 % (12630)Memory used [KB]: 1185
% 0.64/0.82 % (12630)Time elapsed: 0.012 s
% 0.64/0.82 % (12630)Instructions burned: 16 (million)
% 0.64/0.82 % (12454)Success in time 0.443 s
% 0.64/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------