TSTP Solution File: GRP623+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP623+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 : n006.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 05:49:25 EDT 2024
% Result : Theorem 0.63s 0.77s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 129 ( 18 unt; 0 def)
% Number of atoms : 445 ( 4 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 525 ( 209 ~; 227 |; 60 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 8 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 142 ( 136 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f820,plain,
$false,
inference(avatar_sat_refutation,[],[f425,f458,f590,f642,f694,f756,f761,f819]) ).
fof(f819,plain,
~ spl21_25,
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f818,plain,
( $false
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f812,f172]) ).
fof(f172,plain,
~ r1_tarski(k4_autgroup(sK0),k1_autgroup(sK0)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ~ r1_tarski(k4_autgroup(sK0),k1_autgroup(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f76,f120]) ).
fof(f120,plain,
( ? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ~ r1_tarski(k4_autgroup(sK0),k1_autgroup(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t14_autgroup) ).
fof(f812,plain,
( r1_tarski(k4_autgroup(sK0),k1_autgroup(sK0))
| ~ spl21_25 ),
inference(resolution,[],[f760,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ r2_hidden(sK5(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK5(X0,X1),X1)
& r2_hidden(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f132,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK5(X0,X1),X1)
& r2_hidden(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',d3_tarski) ).
fof(f760,plain,
( r2_hidden(sK5(k4_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl21_25
<=> r2_hidden(sK5(k4_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f761,plain,
( spl21_25
| ~ spl21_23
| ~ spl21_22 ),
inference(avatar_split_clause,[],[f727,f640,f717,f758]) ).
fof(f717,plain,
( spl21_23
<=> m1_subset_1(k4_autgroup(sK0),k1_zfmisc_1(k4_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f640,plain,
( spl21_22
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| r2_hidden(X0,k1_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f727,plain,
( ~ m1_subset_1(k4_autgroup(sK0),k1_zfmisc_1(k4_autgroup(sK0)))
| r2_hidden(sK5(k4_autgroup(sK0),k1_autgroup(sK0)),k1_autgroup(sK0))
| ~ spl21_22 ),
inference(resolution,[],[f277,f641]) ).
fof(f641,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| r2_hidden(X0,k1_autgroup(sK0)) )
| ~ spl21_22 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f277,plain,
! [X0] :
( m1_subset_1(sK5(k4_autgroup(sK0),k1_autgroup(sK0)),X0)
| ~ m1_subset_1(k4_autgroup(sK0),k1_zfmisc_1(X0)) ),
inference(resolution,[],[f211,f260]) ).
fof(f260,plain,
r2_hidden(sK5(k4_autgroup(sK0),k1_autgroup(sK0)),k4_autgroup(sK0)),
inference(resolution,[],[f192,f172]) ).
fof(f192,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t4_subset) ).
fof(f756,plain,
spl21_23,
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| spl21_23 ),
inference(subsumption_resolution,[],[f753,f190]) ).
fof(f190,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',reflexivity_r1_tarski) ).
fof(f753,plain,
( ~ r1_tarski(k4_autgroup(sK0),k4_autgroup(sK0))
| spl21_23 ),
inference(resolution,[],[f719,f189]) ).
fof(f189,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t3_subset) ).
fof(f719,plain,
( ~ m1_subset_1(k4_autgroup(sK0),k1_zfmisc_1(k4_autgroup(sK0)))
| spl21_23 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f694,plain,
( ~ spl21_14
| ~ spl21_21 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl21_14
| ~ spl21_21 ),
inference(subsumption_resolution,[],[f684,f255]) ).
fof(f255,plain,
! [X0,X1] : ~ m1_fraenkel(k1_xboole_0,X0,X1),
inference(resolution,[],[f208,f248]) ).
fof(f248,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',fc1_xboole_0) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',dt_m1_fraenkel) ).
fof(f684,plain,
( m1_fraenkel(k1_xboole_0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl21_14
| ~ spl21_21 ),
inference(backward_demodulation,[],[f512,f646]) ).
fof(f646,plain,
( k1_xboole_0 = k1_autgroup(sK0)
| ~ spl21_21 ),
inference(resolution,[],[f638,f238]) ).
fof(f238,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t6_boole) ).
fof(f638,plain,
( v1_xboole_0(k1_autgroup(sK0))
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl21_21
<=> v1_xboole_0(k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f512,plain,
( m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl21_14
<=> m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f642,plain,
( spl21_21
| spl21_22
| spl21_6
| ~ spl21_7
| ~ spl21_14 ),
inference(avatar_split_clause,[],[f634,f511,f423,f419,f640,f636]) ).
fof(f419,plain,
( spl21_6
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f423,plain,
( spl21_7
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f634,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| v1_xboole_0(k1_autgroup(sK0))
| r2_hidden(X0,k1_autgroup(sK0)) )
| spl21_6
| ~ spl21_7
| ~ spl21_14 ),
inference(resolution,[],[f628,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t2_subset) ).
fof(f628,plain,
( ! [X0] :
( m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| spl21_6
| ~ spl21_7
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f627,f420]) ).
fof(f420,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl21_6 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f627,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl21_7
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f625,f512]) ).
fof(f625,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m1_subset_1(X0,k1_autgroup(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl21_7 ),
inference(resolution,[],[f482,f201]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',redefinition_m2_fraenkel) ).
fof(f482,plain,
( ! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl21_7 ),
inference(subsumption_resolution,[],[f481,f167]) ).
fof(f167,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f481,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v3_struct_0(sK0) )
| ~ spl21_7 ),
inference(subsumption_resolution,[],[f480,f168]) ).
fof(f168,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f480,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl21_7 ),
inference(subsumption_resolution,[],[f479,f169]) ).
fof(f169,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f479,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl21_7 ),
inference(subsumption_resolution,[],[f478,f170]) ).
fof(f170,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f478,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl21_7 ),
inference(subsumption_resolution,[],[f475,f171]) ).
fof(f171,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f475,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0) )
| ~ spl21_7 ),
inference(resolution,[],[f424,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',t13_autgroup) ).
fof(f424,plain,
( ! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) )
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f590,plain,
spl21_14,
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| spl21_14 ),
inference(subsumption_resolution,[],[f588,f167]) ).
fof(f588,plain,
( v3_struct_0(sK0)
| spl21_14 ),
inference(subsumption_resolution,[],[f587,f168]) ).
fof(f587,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl21_14 ),
inference(subsumption_resolution,[],[f586,f169]) ).
fof(f586,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl21_14 ),
inference(subsumption_resolution,[],[f585,f170]) ).
fof(f585,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl21_14 ),
inference(subsumption_resolution,[],[f584,f171]) ).
fof(f584,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl21_14 ),
inference(resolution,[],[f513,f175]) ).
fof(f175,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_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)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',dt_k1_autgroup) ).
fof(f513,plain,
( ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl21_14 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f458,plain,
~ spl21_6,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl21_6 ),
inference(subsumption_resolution,[],[f456,f171]) ).
fof(f456,plain,
( ~ l1_group_1(sK0)
| ~ spl21_6 ),
inference(resolution,[],[f443,f223]) ).
fof(f223,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',dt_l1_group_1) ).
fof(f443,plain,
( ~ l1_struct_0(sK0)
| ~ spl21_6 ),
inference(subsumption_resolution,[],[f438,f167]) ).
fof(f438,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl21_6 ),
inference(resolution,[],[f421,f196]) ).
fof(f196,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',fc1_struct_0) ).
fof(f421,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f425,plain,
( spl21_6
| spl21_7 ),
inference(avatar_split_clause,[],[f417,f423,f419]) ).
fof(f417,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f416,f167]) ).
fof(f416,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f415,f168]) ).
fof(f415,plain,
! [X0] :
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f414,f169]) ).
fof(f414,plain,
! [X0] :
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f412,f171]) ).
fof(f412,plain,
! [X0] :
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f309,f170]) ).
fof(f309,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f174,f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f174,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.SGjucHg1zZ/Vampire---4.8_2826',dt_k4_autgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP623+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
% 0.16/0.36 % Computer : n006.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
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:47:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.SGjucHg1zZ/Vampire---4.8_2826
% 0.53/0.74 % (3084)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)
% 0.53/0.74 % (3078)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)
% 0.53/0.74 % (3081)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)
% 0.53/0.74 % (3079)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)
% 0.53/0.74 % (3080)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74 % (3082)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)
% 0.53/0.74 % (3083)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)
% 0.53/0.74 % (3083)Refutation not found, incomplete strategy% (3083)------------------------------
% 0.53/0.74 % (3083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (3083)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (3083)Memory used [KB]: 1043
% 0.53/0.74 % (3083)Time elapsed: 0.003 s
% 0.53/0.74 % (3083)Instructions burned: 3 (million)
% 0.53/0.74 % (3081)Refutation not found, incomplete strategy% (3081)------------------------------
% 0.53/0.74 % (3081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (3081)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (3081)Memory used [KB]: 1050
% 0.53/0.74 % (3081)Time elapsed: 0.003 s
% 0.53/0.74 % (3081)Instructions burned: 3 (million)
% 0.53/0.74 % (3083)------------------------------
% 0.53/0.74 % (3083)------------------------------
% 0.53/0.74 % (3081)------------------------------
% 0.53/0.74 % (3081)------------------------------
% 0.53/0.74 % (3082)Refutation not found, incomplete strategy% (3082)------------------------------
% 0.53/0.74 % (3082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (3082)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (3082)Memory used [KB]: 1170
% 0.53/0.74 % (3082)Time elapsed: 0.006 s
% 0.53/0.74 % (3082)Instructions burned: 8 (million)
% 0.53/0.74 % (3082)------------------------------
% 0.53/0.74 % (3082)------------------------------
% 0.53/0.74 % (3087)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)
% 0.53/0.74 % (3085)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)
% 0.53/0.74 % (3086)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)
% 0.60/0.75 % (3088)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 (2996ds/208Mi)
% 0.60/0.75 % (3078)Instruction limit reached!
% 0.60/0.75 % (3078)------------------------------
% 0.60/0.75 % (3078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (3078)Termination reason: Unknown
% 0.60/0.75 % (3078)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (3078)Memory used [KB]: 1158
% 0.60/0.75 % (3078)Time elapsed: 0.018 s
% 0.60/0.75 % (3078)Instructions burned: 34 (million)
% 0.60/0.75 % (3078)------------------------------
% 0.60/0.75 % (3078)------------------------------
% 0.60/0.76 % (3089)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.63/0.76 % (3079)Instruction limit reached!
% 0.63/0.76 % (3079)------------------------------
% 0.63/0.76 % (3079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (3079)Termination reason: Unknown
% 0.63/0.76 % (3079)Termination phase: Saturation
% 0.63/0.76
% 0.63/0.76 % (3079)Memory used [KB]: 1377
% 0.63/0.76 % (3079)Time elapsed: 0.026 s
% 0.63/0.76 % (3079)Instructions burned: 52 (million)
% 0.63/0.76 % (3079)------------------------------
% 0.63/0.76 % (3079)------------------------------
% 0.63/0.76 % (3080)First to succeed.
% 0.63/0.77 % (3084)Instruction limit reached!
% 0.63/0.77 % (3084)------------------------------
% 0.63/0.77 % (3084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77 % (3090)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.63/0.77 % (3084)Termination reason: Unknown
% 0.63/0.77 % (3084)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (3084)Memory used [KB]: 2087
% 0.63/0.77 % (3084)Time elapsed: 0.031 s
% 0.63/0.77 % (3084)Instructions burned: 84 (million)
% 0.63/0.77 % (3084)------------------------------
% 0.63/0.77 % (3084)------------------------------
% 0.63/0.77 % (3080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3074"
% 0.63/0.77 % (3080)Refutation found. Thanks to Tanya!
% 0.63/0.77 % SZS status Theorem for Vampire---4
% 0.63/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.77 % (3080)------------------------------
% 0.63/0.77 % (3080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77 % (3080)Termination reason: Refutation
% 0.63/0.77
% 0.63/0.77 % (3080)Memory used [KB]: 1368
% 0.63/0.77 % (3080)Time elapsed: 0.030 s
% 0.63/0.77 % (3080)Instructions burned: 47 (million)
% 0.63/0.77 % (3074)Success in time 0.397 s
% 0.63/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------