TSTP Solution File: GRP639+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP639+1 : TPTP v8.2.0. 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 : n019.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 : Mon May 20 21:10:59 EDT 2024
% Result : Theorem 0.51s 0.69s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 13 unt; 0 def)
% Number of atoms : 435 ( 20 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 544 ( 191 ~; 175 |; 146 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 149 ( 121 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f239,f254,f262,f271]) ).
fof(f271,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| spl19_4 ),
inference(subsumption_resolution,[],[f269,f132]) ).
fof(f132,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(k5_group_4(sK0,sK3))))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(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,f95,f94,f93,f92]) ).
fof(f92,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
=> ( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(k5_group_4(sK0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0))) )
=> ( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(k5_group_4(sK0,sK3))))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(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] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(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] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
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] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(X0,X3)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(f269,plain,
( v3_struct_0(sK0)
| spl19_4 ),
inference(subsumption_resolution,[],[f268,f133]) ).
fof(f133,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f268,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl19_4 ),
inference(subsumption_resolution,[],[f267,f134]) ).
fof(f134,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f267,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl19_4 ),
inference(subsumption_resolution,[],[f266,f135]) ).
fof(f135,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f266,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl19_4 ),
inference(subsumption_resolution,[],[f264,f143]) ).
fof(f143,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f96]) ).
fof(f264,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl19_4 ),
inference(resolution,[],[f253,f209]) ).
fof(f209,plain,
! [X0,X1] :
( r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f208,f151]) ).
fof(f151,plain,
! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,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,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(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,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f208,plain,
! [X0,X1] :
( r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f205,f152]) ).
fof(f152,plain,
! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| ~ m1_subset_1(X1,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,[],[f65]) ).
fof(f205,plain,
! [X0,X1] :
( r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ m1_group_2(k5_group_4(X0,X1),X0)
| ~ v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(X2))
| k5_group_4(X0,X1) != X2
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,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,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k5_group_4(X0,X1) = X2
| ( ~ m1_group_2(X2,sK5(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK5(X0,X1,X2)))
& m1_group_2(sK5(X0,X1,X2),X0)
& v1_group_1(sK5(X0,X1,X2)) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X0)
| ~ v1_group_1(X4) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
=> ( ~ m1_group_2(X2,sK5(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK5(X0,X1,X2)))
& m1_group_2(sK5(X0,X1,X2),X0)
& v1_group_1(sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k5_group_4(X0,X1) = X2
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ m1_group_2(X4,X0)
| ~ v1_group_1(X4) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k5_group_4(X0,X1) = X2
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k5_group_4(X0,X1) = X2
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r1_tarski(X1,u1_struct_0(X2)) )
& ( ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k5_group_4(X0,X1) = X2
<=> ( ! [X3] :
( ( m1_group_2(X3,X0)
& v1_group_1(X3) )
=> ( r1_tarski(X1,u1_struct_0(X3))
=> m1_group_2(X2,X3) ) )
& r1_tarski(X1,u1_struct_0(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).
fof(f253,plain,
( ~ r1_tarski(sK3,u1_struct_0(k5_group_4(sK0,sK3)))
| spl19_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl19_4
<=> r1_tarski(sK3,u1_struct_0(k5_group_4(sK0,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f262,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| spl19_3 ),
inference(resolution,[],[f257,f142]) ).
fof(f142,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f96]) ).
fof(f257,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| spl19_3 ),
inference(resolution,[],[f255,f177]) ).
fof(f177,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f255,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl19_3 ),
inference(resolution,[],[f249,f192]) ).
fof(f192,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f249,plain,
( ~ v1_relat_1(sK2)
| spl19_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl19_3
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f254,plain,
( ~ spl19_3
| ~ spl19_4
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f244,f227,f251,f247]) ).
fof(f227,plain,
( spl19_1
<=> ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f244,plain,
( ~ r1_tarski(sK3,u1_struct_0(k5_group_4(sK0,sK3)))
| ~ v1_relat_1(sK2)
| ~ spl19_1 ),
inference(resolution,[],[f243,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f243,plain,
( ~ r1_tarski(k9_relat_1(sK2,sK3),k9_relat_1(sK2,u1_struct_0(k5_group_4(sK0,sK3))))
| ~ spl19_1 ),
inference(forward_demodulation,[],[f241,f228]) ).
fof(f228,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f241,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK3),k9_relat_1(sK2,u1_struct_0(k5_group_4(sK0,sK3))))
| ~ spl19_1 ),
inference(backward_demodulation,[],[f144,f228]) ).
fof(f144,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK3),k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(k5_group_4(sK0,sK3)))),
inference(cnf_transformation,[],[f96]) ).
fof(f239,plain,
spl19_2,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| spl19_2 ),
inference(subsumption_resolution,[],[f237,f142]) ).
fof(f237,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl19_2 ),
inference(resolution,[],[f232,f174]) ).
fof(f174,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f232,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl19_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl19_2
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
fof(f233,plain,
( spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f225,f230,f227]) ).
fof(f225,plain,
! [X0] :
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
inference(subsumption_resolution,[],[f222,f140]) ).
fof(f140,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f222,plain,
! [X0] :
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0)
| ~ v1_funct_1(sK2) ),
inference(resolution,[],[f171,f141]) ).
fof(f141,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f96]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GRP639+1 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.10 % 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
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun May 19 04:35:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.30 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/benchmark/theBenchmark.p
% 0.51/0.68 % (17674)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.51/0.68 % (17667)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.68 % (17670)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.68 % (17669)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.68 % (17671)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.68 % (17668)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 theBenchmark for (2996ds/51Mi)
% 0.51/0.68 % (17672)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.68 % (17673)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 theBenchmark for (2996ds/83Mi)
% 0.51/0.68 % (17674)Refutation not found, incomplete strategy% (17674)------------------------------
% 0.51/0.68 % (17674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68 % (17674)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68
% 0.51/0.68 % (17674)Memory used [KB]: 1078
% 0.51/0.68 % (17674)Time elapsed: 0.003 s
% 0.51/0.68 % (17674)Instructions burned: 5 (million)
% 0.51/0.68 % (17674)------------------------------
% 0.51/0.68 % (17674)------------------------------
% 0.51/0.68 % (17672)Refutation not found, incomplete strategy% (17672)------------------------------
% 0.51/0.68 % (17672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68 % (17672)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68
% 0.51/0.68 % (17672)Memory used [KB]: 1063
% 0.51/0.68 % (17672)Time elapsed: 0.004 s
% 0.51/0.68 % (17672)Instructions burned: 4 (million)
% 0.51/0.68 % (17672)------------------------------
% 0.51/0.68 % (17672)------------------------------
% 0.51/0.68 % (17675)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 theBenchmark for (2996ds/55Mi)
% 0.51/0.69 % (17669)First to succeed.
% 0.51/0.69 % (17676)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 theBenchmark for (2996ds/50Mi)
% 0.51/0.69 % (17669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17666"
% 0.51/0.69 % (17669)Refutation found. Thanks to Tanya!
% 0.51/0.69 % SZS status Theorem for theBenchmark
% 0.51/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.69 % (17669)------------------------------
% 0.51/0.69 % (17669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69 % (17669)Termination reason: Refutation
% 0.51/0.69
% 0.51/0.69 % (17669)Memory used [KB]: 1171
% 0.51/0.69 % (17669)Time elapsed: 0.010 s
% 0.51/0.69 % (17669)Instructions burned: 14 (million)
% 0.51/0.69 % (17666)Success in time 0.379 s
% 0.51/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------