TSTP Solution File: GRP645+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP645+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 : n007.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 05:49:54 EDT 2024
% Result : Theorem 0.62s 0.78s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 14 unt; 0 def)
% Number of atoms : 467 ( 56 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 626 ( 244 ~; 256 |; 103 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 102 ( 84 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f523,plain,
$false,
inference(avatar_sat_refutation,[],[f316,f324,f522]) ).
fof(f522,plain,
( ~ spl17_5
| ~ spl17_6 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| ~ spl17_5
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f520,f294]) ).
fof(f294,plain,
( m1_group_2(k9_group_2(sK0,sK1,sK2),sK0)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl17_5
<=> m1_group_2(k9_group_2(sK0,sK1,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f520,plain,
( ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0)
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f519,f298]) ).
fof(f298,plain,
( v1_group_1(k9_group_2(sK0,sK1,sK2))
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl17_6
<=> v1_group_1(k9_group_2(sK0,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f519,plain,
( ~ v1_group_1(k9_group_2(sK0,sK1,sK2))
| ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0) ),
inference(trivial_inequality_removal,[],[f518]) ).
fof(f518,plain,
( u1_struct_0(k9_group_2(sK0,sK1,sK2)) != u1_struct_0(k9_group_2(sK0,sK1,sK2))
| ~ v1_group_1(k9_group_2(sK0,sK1,sK2))
| ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0) ),
inference(superposition,[],[f498,f251]) ).
fof(f251,plain,
! [X0] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f250,f148]) ).
fof(f148,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
& m1_group_2(sK2,sK0)
& v1_group_1(sK2)
& 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])],[f74,f114,f113,f112]) ).
fof(f112,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& 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] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& 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(f113,plain,
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
=> ( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
& m1_group_2(sK2,sK0)
& v1_group_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& 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,[],[f73]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& 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_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
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_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HmHpU5PcPV/Vampire---4.8_21400',t24_latsubgr) ).
fof(f250,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,[],[f249,f149]) ).
fof(f149,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f249,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,[],[f248,f151]) ).
fof(f151,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f248,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,[],[f215,f150]) ).
fof(f150,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f215,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,[],[f214,f159]) ).
fof(f159,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,[],[f79]) ).
fof(f79,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,[],[f78]) ).
fof(f78,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,[],[f15]) ).
fof(f15,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.HmHpU5PcPV/Vampire---4.8_21400',dt_k1_latsubgr) ).
fof(f214,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,[],[f213,f160]) ).
fof(f160,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,[],[f79]) ).
fof(f213,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,[],[f212,f161]) ).
fof(f161,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,[],[f79]) ).
fof(f212,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,[],[f162]) ).
fof(f162,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,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(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,[sK3])],[f117,f118]) ).
fof(f118,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,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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,[],[f81]) ).
fof(f81,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,[],[f80]) ).
fof(f80,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,[],[f11]) ).
fof(f11,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.HmHpU5PcPV/Vampire---4.8_21400',d1_latsubgr) ).
fof(f498,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != u1_struct_0(k9_group_2(sK0,sK1,sK2)),
inference(backward_demodulation,[],[f156,f497]) ).
fof(f497,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)),
inference(subsumption_resolution,[],[f490,f152]) ).
fof(f152,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f490,plain,
( ~ v1_group_1(sK1)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)) ),
inference(resolution,[],[f349,f153]) ).
fof(f153,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f349,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,X0,sK2)) ),
inference(subsumption_resolution,[],[f343,f154]) ).
fof(f154,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f115]) ).
fof(f343,plain,
! [X0] :
( ~ v1_group_1(sK2)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,X0,sK2)) ),
inference(resolution,[],[f308,f155]) ).
fof(f155,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f308,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X0)) = u1_struct_0(k9_group_2(sK0,X1,X0)) ),
inference(subsumption_resolution,[],[f307,f148]) ).
fof(f307,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f306,f149]) ).
fof(f306,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f305,f151]) ).
fof(f305,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X1)
| ~ l1_group_1(sK0)
| k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f158,f150]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ 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,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ 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,[],[f55]) ).
fof(f55,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_group_2(X2,X0)
& v1_group_1(X2) )
=> k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HmHpU5PcPV/Vampire---4.8_21400',t23_latsubgr) ).
fof(f156,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)),
inference(cnf_transformation,[],[f115]) ).
fof(f324,plain,
spl17_6,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl17_6 ),
inference(subsumption_resolution,[],[f322,f148]) ).
fof(f322,plain,
( v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f321,f149]) ).
fof(f321,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f320,f150]) ).
fof(f320,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f319,f151]) ).
fof(f319,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f318,f153]) ).
fof(f318,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(subsumption_resolution,[],[f317,f155]) ).
fof(f317,plain,
( ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_6 ),
inference(resolution,[],[f299,f167]) ).
fof(f167,plain,
! [X2,X0,X1] :
( v1_group_1(k9_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.HmHpU5PcPV/Vampire---4.8_21400',dt_k9_group_2) ).
fof(f299,plain,
( ~ v1_group_1(k9_group_2(sK0,sK1,sK2))
| spl17_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f316,plain,
spl17_5,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| spl17_5 ),
inference(subsumption_resolution,[],[f314,f148]) ).
fof(f314,plain,
( v3_struct_0(sK0)
| spl17_5 ),
inference(subsumption_resolution,[],[f313,f149]) ).
fof(f313,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_5 ),
inference(subsumption_resolution,[],[f312,f150]) ).
fof(f312,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_5 ),
inference(subsumption_resolution,[],[f311,f151]) ).
fof(f311,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_5 ),
inference(subsumption_resolution,[],[f310,f153]) ).
fof(f310,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_5 ),
inference(subsumption_resolution,[],[f309,f155]) ).
fof(f309,plain,
( ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_5 ),
inference(resolution,[],[f295,f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( m1_group_2(k9_group_2(X0,X1,X2),X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f295,plain,
( ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0)
| spl17_5 ),
inference(avatar_component_clause,[],[f293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP645+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
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Fri May 3 20:46:23 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 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.HmHpU5PcPV/Vampire---4.8_21400
% 0.62/0.76 % (21664)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)
% 0.62/0.76 % (21659)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.76 % (21660)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)
% 0.62/0.76 % (21661)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)
% 0.62/0.76 % (21657)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)
% 0.62/0.76 % (21658)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)
% 0.62/0.76 % (21662)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)
% 0.62/0.76 % (21662)Refutation not found, incomplete strategy% (21662)------------------------------
% 0.62/0.76 % (21662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (21662)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (21662)Memory used [KB]: 1113
% 0.62/0.76 % (21662)Time elapsed: 0.004 s
% 0.62/0.76 % (21662)Instructions burned: 4 (million)
% 0.62/0.76 % (21662)------------------------------
% 0.62/0.76 % (21662)------------------------------
% 0.62/0.76 % (21657)Refutation not found, incomplete strategy% (21657)------------------------------
% 0.62/0.76 % (21657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (21657)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (21657)Memory used [KB]: 1084
% 0.62/0.76 % (21657)Time elapsed: 0.006 s
% 0.62/0.76 % (21657)Instructions burned: 7 (million)
% 0.62/0.76 % (21657)------------------------------
% 0.62/0.76 % (21657)------------------------------
% 0.62/0.77 % (21663)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 (2996ds/83Mi)
% 0.62/0.77 % (21665)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 (2996ds/55Mi)
% 0.62/0.77 % (21666)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 (2996ds/50Mi)
% 0.62/0.77 % (21659)First to succeed.
% 0.62/0.78 % (21659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21653"
% 0.62/0.78 % (21659)Refutation found. Thanks to Tanya!
% 0.62/0.78 % SZS status Theorem for Vampire---4
% 0.62/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78 % (21659)------------------------------
% 0.62/0.78 % (21659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (21659)Termination reason: Refutation
% 0.62/0.78
% 0.62/0.78 % (21659)Memory used [KB]: 1227
% 0.62/0.78 % (21659)Time elapsed: 0.016 s
% 0.62/0.78 % (21659)Instructions burned: 25 (million)
% 0.62/0.78 % (21653)Success in time 0.4 s
% 0.62/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------