TSTP Solution File: GRP639+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 : Wed Aug 31 16:17:26 EDT 2022
% Result : Theorem 1.47s 0.57s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 27
% Syntax : Number of formulae : 140 ( 45 unt; 0 def)
% Number of atoms : 554 ( 18 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 641 ( 227 ~; 214 |; 155 &)
% ( 18 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 15 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 167 ( 139 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f771,plain,
$false,
inference(avatar_sat_refutation,[],[f475,f481,f510,f518,f551,f556,f594,f645,f654,f657,f672,f674,f708,f768,f770]) ).
fof(f770,plain,
( ~ spl19_23
| spl19_13
| ~ spl19_12
| ~ spl19_11
| ~ spl19_14
| ~ spl19_15
| ~ spl19_10
| spl19_28 ),
inference(avatar_split_clause,[],[f769,f705,f450,f529,f466,f454,f458,f462,f627]) ).
fof(f627,plain,
( spl19_23
<=> m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).
fof(f462,plain,
( spl19_13
<=> v3_struct_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
fof(f458,plain,
( spl19_12
<=> v3_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
fof(f454,plain,
( spl19_11
<=> v4_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
fof(f466,plain,
( spl19_14
<=> v1_group_1(k5_group_4(sK4,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
fof(f529,plain,
( spl19_15
<=> m1_group_2(k5_group_4(sK4,sK7),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
fof(f450,plain,
( spl19_10
<=> l1_group_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f705,plain,
( spl19_28
<=> r1_tarski(sK7,u1_struct_0(k5_group_4(sK4,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_28])]) ).
fof(f769,plain,
( ~ l1_group_1(sK4)
| ~ m1_group_2(k5_group_4(sK4,sK7),sK4)
| ~ v1_group_1(k5_group_4(sK4,sK7))
| ~ v4_group_1(sK4)
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
| spl19_28 ),
inference(resolution,[],[f707,f263]) ).
fof(f263,plain,
! [X0,X1] :
( r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_group_1(X2)
| r1_tarski(X1,u1_struct_0(X2))
| k5_group_4(X0,X1) != X2
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ v1_group_1(X2)
| ( ( ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3)) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 )
& ( k5_group_4(X0,X1) = X2
| ( m1_group_2(sK9(X0,X1,X2),X0)
& v1_group_1(sK9(X0,X1,X2))
& ~ m1_group_2(X2,sK9(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK9(X0,X1,X2))) )
| ~ r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f143,f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ? [X4] :
( m1_group_2(X4,X0)
& v1_group_1(X4)
& ~ m1_group_2(X2,X4)
& r1_tarski(X1,u1_struct_0(X4)) )
=> ( m1_group_2(sK9(X0,X1,X2),X0)
& v1_group_1(sK9(X0,X1,X2))
& ~ m1_group_2(X2,sK9(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK9(X0,X1,X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ v1_group_1(X2)
| ( ( ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3)) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 )
& ( k5_group_4(X0,X1) = X2
| ? [X4] :
( m1_group_2(X4,X0)
& v1_group_1(X4)
& ~ m1_group_2(X2,X4)
& r1_tarski(X1,u1_struct_0(X4)) )
| ~ r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ v1_group_1(X2)
| ( ( ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3)) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 )
& ( k5_group_4(X0,X1) = X2
| ? [X3] :
( m1_group_2(X3,X0)
& v1_group_1(X3)
& ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3)) )
| ~ r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ v1_group_1(X2)
| ( ( ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3)) )
& r1_tarski(X1,u1_struct_0(X2)) )
| k5_group_4(X0,X1) != X2 )
& ( k5_group_4(X0,X1) = X2
| ? [X3] :
( m1_group_2(X3,X0)
& v1_group_1(X3)
& ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3)) )
| ~ r1_tarski(X1,u1_struct_0(X2)) ) )
| ~ m1_group_2(X2,X0) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ v1_group_1(X2)
| ( ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3)) )
& r1_tarski(X1,u1_struct_0(X2)) )
<=> k5_group_4(X0,X1) = X2 )
| ~ m1_group_2(X2,X0) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,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)) ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( 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(f707,plain,
( ~ r1_tarski(sK7,u1_struct_0(k5_group_4(sK4,sK7)))
| spl19_28 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f768,plain,
spl19_27,
inference(avatar_split_clause,[],[f740,f701]) ).
fof(f701,plain,
( spl19_27
<=> v1_relat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).
fof(f740,plain,
v1_relat_1(sK6),
inference(resolution,[],[f326,f330]) ).
fof(f330,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f325,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) )
& ( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
& ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
<=> m2_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f325,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f283,f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f283,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f281,f229]) ).
fof(f281,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f230,f189]) ).
fof(f189,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( v4_group_1(sK4)
& v4_group_1(sK5)
& v3_group_1(sK5)
& ~ v3_struct_0(sK5)
& v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
& v1_funct_1(sK6)
& m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
& ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,u1_struct_0(k5_group_4(sK4,sK7))))
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
& l1_group_1(sK5)
& v3_group_1(sK4)
& l1_group_1(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f77,f131,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( v4_group_1(X0)
& ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& ? [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))) ) )
& l1_group_1(X1) )
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v4_group_1(sK4)
& ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( v1_funct_2(X2,u1_struct_0(sK4),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(X1))
& ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
& l1_group_1(X1) )
& v3_group_1(sK4)
& l1_group_1(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( v1_funct_2(X2,u1_struct_0(sK4),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(X1))
& ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(X1),X2,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(X1),X2,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
& l1_group_1(X1) )
=> ( v4_group_1(sK5)
& v3_group_1(sK5)
& ~ v3_struct_0(sK5)
& ? [X2] :
( v1_funct_2(X2,u1_struct_0(sK4),u1_struct_0(sK5))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(sK5))
& ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),X2,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),X2,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
& l1_group_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( v1_funct_2(X2,u1_struct_0(sK4),u1_struct_0(sK5))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(sK4),u1_struct_0(sK5))
& ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),X2,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),X2,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
=> ( v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
& v1_funct_1(sK6)
& m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
& ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,X3),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,u1_struct_0(k5_group_4(sK4,X3))))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) )
=> ( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,u1_struct_0(k5_group_4(sK4,sK7))))
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( v4_group_1(X0)
& ? [X1] :
( v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& ? [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))) ) )
& l1_group_1(X1) )
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,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_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v4_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [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] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v4_group_1(X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [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(f326,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f243,f175]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
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(f243,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m2_relset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m2_relset_1(X0,X2,X1) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0,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(f708,plain,
( ~ spl19_27
| ~ spl19_28
| spl19_26 ),
inference(avatar_split_clause,[],[f699,f666,f705,f701]) ).
fof(f666,plain,
( spl19_26
<=> r1_tarski(k9_relat_1(sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_26])]) ).
fof(f699,plain,
( ~ r1_tarski(sK7,u1_struct_0(k5_group_4(sK4,sK7)))
| ~ v1_relat_1(sK6)
| spl19_26 ),
inference(resolution,[],[f668,f261]) ).
fof(f261,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X0)
| r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X2,X1] :
( 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,X2,X1] :
( 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(f668,plain,
( ~ r1_tarski(k9_relat_1(sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7))))
| spl19_26 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f674,plain,
( ~ spl19_17
| ~ spl19_7
| ~ spl19_26
| ~ spl19_6
| spl19_18 ),
inference(avatar_split_clause,[],[f673,f548,f387,f666,f391,f543]) ).
fof(f543,plain,
( spl19_17
<=> m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).
fof(f391,plain,
( spl19_7
<=> v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f387,plain,
( spl19_6
<=> v1_funct_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f548,plain,
( spl19_18
<=> r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).
fof(f673,plain,
( ~ v1_funct_1(sK6)
| ~ r1_tarski(k9_relat_1(sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7))))
| ~ v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
| spl19_18 ),
inference(superposition,[],[f550,f252]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X1,X3) = k2_funct_2(X2,X0,X1,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X1,X2,X0)
| k9_relat_1(X1,X3) = k2_funct_2(X2,X0,X1,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X3,X2,X1] :
( ~ m1_relset_1(X3,X2,X0)
| k2_funct_2(X2,X0,X3,X1) = k9_relat_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X3,X2,X0] :
( k2_funct_2(X2,X0,X3,X1) = k9_relat_1(X3,X1)
| ~ v1_funct_2(X3,X2,X0)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X2,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X3,X2,X0] :
( ( v1_funct_2(X3,X2,X0)
& v1_funct_1(X3)
& m1_relset_1(X3,X2,X0) )
=> k2_funct_2(X2,X0,X3,X1) = k9_relat_1(X3,X1) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1,X3,X0,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f550,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7))))
| spl19_18 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f672,plain,
spl19_17,
inference(avatar_split_clause,[],[f366,f543]) ).
fof(f366,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f365,f230]) ).
fof(f365,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f364,f229]) ).
fof(f364,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f363,f230]) ).
fof(f363,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f362,f229]) ).
fof(f362,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f361,f230]) ).
fof(f361,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f359,f229]) ).
fof(f359,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f358,f230]) ).
fof(f358,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f357,f229]) ).
fof(f357,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f356,f230]) ).
fof(f356,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f353,f229]) ).
fof(f353,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f352,f230]) ).
fof(f352,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f351,f229]) ).
fof(f351,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f350,f230]) ).
fof(f350,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f347,f229]) ).
fof(f347,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f336,f230]) ).
fof(f336,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f335,f229]) ).
fof(f335,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f334,f230]) ).
fof(f334,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f333,f229]) ).
fof(f333,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f332,f230]) ).
fof(f332,plain,
m2_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f331,f229]) ).
fof(f331,plain,
m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(resolution,[],[f330,f230]) ).
fof(f657,plain,
( ~ spl19_10
| ~ spl19_11
| spl19_13
| ~ spl19_12
| spl19_14
| ~ spl19_23 ),
inference(avatar_split_clause,[],[f648,f627,f466,f458,f462,f454,f450]) ).
fof(f648,plain,
( v1_group_1(k5_group_4(sK4,sK7))
| ~ v3_group_1(sK4)
| v3_struct_0(sK4)
| ~ v4_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ spl19_23 ),
inference(resolution,[],[f628,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v1_group_1(k5_group_4(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ( m1_group_2(k5_group_4(X1,X0),X1)
& v1_group_1(k5_group_4(X1,X0)) )
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X1,X0),X1)
& v1_group_1(k5_group_4(X1,X0)) )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( m1_group_2(k5_group_4(X1,X0),X1)
& v1_group_1(k5_group_4(X1,X0)) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f628,plain,
( m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ spl19_23 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f654,plain,
( ~ spl19_11
| spl19_13
| spl19_15
| ~ spl19_10
| ~ spl19_12
| ~ spl19_23 ),
inference(avatar_split_clause,[],[f647,f627,f458,f450,f529,f462,f454]) ).
fof(f647,plain,
( ~ v3_group_1(sK4)
| ~ l1_group_1(sK4)
| m1_group_2(k5_group_4(sK4,sK7),sK4)
| v3_struct_0(sK4)
| ~ v4_group_1(sK4)
| ~ spl19_23 ),
inference(resolution,[],[f628,f257]) ).
fof(f257,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f645,plain,
spl19_23,
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| spl19_23 ),
inference(resolution,[],[f629,f187]) ).
fof(f187,plain,
m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f132]) ).
fof(f629,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
| spl19_23 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f594,plain,
spl19_7,
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| spl19_7 ),
inference(resolution,[],[f393,f191]) ).
fof(f191,plain,
v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5)),
inference(cnf_transformation,[],[f132]) ).
fof(f393,plain,
( ~ v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
| spl19_7 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f556,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| spl19_6 ),
inference(resolution,[],[f389,f190]) ).
fof(f190,plain,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f132]) ).
fof(f389,plain,
( ~ v1_funct_1(sK6)
| spl19_6 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f551,plain,
( ~ spl19_6
| ~ spl19_17
| ~ spl19_7
| ~ spl19_18 ),
inference(avatar_split_clause,[],[f535,f548,f391,f543,f387]) ).
fof(f535,plain,
( ~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k9_relat_1(sK6,u1_struct_0(k5_group_4(sK4,sK7))))
| ~ v1_funct_2(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_relset_1(sK6,u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_1(sK6) ),
inference(superposition,[],[f188,f252]) ).
fof(f188,plain,
~ r1_tarski(k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,sK7),k2_funct_2(u1_struct_0(sK4),u1_struct_0(sK5),sK6,u1_struct_0(k5_group_4(sK4,sK7)))),
inference(cnf_transformation,[],[f132]) ).
fof(f518,plain,
~ spl19_13,
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| ~ spl19_13 ),
inference(resolution,[],[f464,f183]) ).
fof(f183,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f464,plain,
( v3_struct_0(sK4)
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f510,plain,
spl19_12,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| spl19_12 ),
inference(resolution,[],[f460,f185]) ).
fof(f185,plain,
v3_group_1(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f460,plain,
( ~ v3_group_1(sK4)
| spl19_12 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f481,plain,
spl19_11,
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| spl19_11 ),
inference(resolution,[],[f456,f195]) ).
fof(f195,plain,
v4_group_1(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f456,plain,
( ~ v4_group_1(sK4)
| spl19_11 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f475,plain,
spl19_10,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| spl19_10 ),
inference(resolution,[],[f452,f184]) ).
fof(f184,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f452,plain,
( ~ l1_group_1(sK4)
| spl19_10 ),
inference(avatar_component_clause,[],[f450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 23:00:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (16604)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (16612)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (16604)Instruction limit reached!
% 0.20/0.50 % (16604)------------------------------
% 0.20/0.50 % (16604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (16604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (16604)Termination reason: Unknown
% 0.20/0.50 % (16604)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (16604)Memory used [KB]: 1535
% 0.20/0.50 % (16604)Time elapsed: 0.005 s
% 0.20/0.50 % (16604)Instructions burned: 3 (million)
% 0.20/0.50 % (16604)------------------------------
% 0.20/0.50 % (16604)------------------------------
% 0.20/0.50 % (16599)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (16587)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.32/0.51 % (16590)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.52 % (16589)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.52 % (16589)Instruction limit reached!
% 1.32/0.52 % (16589)------------------------------
% 1.32/0.52 % (16589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (16589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (16589)Termination reason: Unknown
% 1.32/0.52 % (16589)Termination phase: Saturation
% 1.32/0.52
% 1.32/0.52 % (16589)Memory used [KB]: 1535
% 1.32/0.52 % (16589)Time elapsed: 0.003 s
% 1.32/0.52 % (16589)Instructions burned: 4 (million)
% 1.32/0.52 % (16589)------------------------------
% 1.32/0.52 % (16589)------------------------------
% 1.32/0.52 % (16591)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.32/0.52 % (16600)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.52 % (16610)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.32/0.52 % (16598)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.52 % (16609)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.32/0.53 % (16613)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53 % (16596)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.32/0.53 % (16595)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.32/0.53 % (16601)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.53 % (16601)Instruction limit reached!
% 1.32/0.53 % (16601)------------------------------
% 1.32/0.53 % (16601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (16601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (16601)Termination reason: Unknown
% 1.32/0.53 % (16601)Termination phase: Preprocessing 3
% 1.32/0.53
% 1.32/0.53 % (16601)Memory used [KB]: 1535
% 1.32/0.53 % (16601)Time elapsed: 0.004 s
% 1.32/0.53 % (16601)Instructions burned: 3 (million)
% 1.32/0.53 % (16601)------------------------------
% 1.32/0.53 % (16601)------------------------------
% 1.32/0.53 % (16614)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.32/0.53 % (16611)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.53 % (16602)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.53 % (16588)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.47/0.53 % (16605)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.53 % (16605)Instruction limit reached!
% 1.47/0.53 % (16605)------------------------------
% 1.47/0.53 % (16605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53 % (16605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53 % (16605)Termination reason: Unknown
% 1.47/0.53 % (16605)Termination phase: Property scanning
% 1.47/0.53
% 1.47/0.53 % (16605)Memory used [KB]: 1407
% 1.47/0.53 % (16605)Time elapsed: 0.002 s
% 1.47/0.53 % (16605)Instructions burned: 3 (million)
% 1.47/0.53 % (16605)------------------------------
% 1.47/0.53 % (16605)------------------------------
% 1.47/0.53 % (16602)Instruction limit reached!
% 1.47/0.53 % (16602)------------------------------
% 1.47/0.53 % (16602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53 % (16602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53 % (16602)Termination reason: Unknown
% 1.47/0.53 % (16602)Termination phase: Saturation
% 1.47/0.53
% 1.47/0.53 % (16602)Memory used [KB]: 6140
% 1.47/0.53 % (16602)Time elapsed: 0.117 s
% 1.47/0.53 % (16602)Instructions burned: 7 (million)
% 1.47/0.53 % (16602)------------------------------
% 1.47/0.53 % (16602)------------------------------
% 1.47/0.53 % (16606)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.47/0.53 % (16615)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.47/0.53 % (16593)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.54 % (16606)Refutation not found, incomplete strategy% (16606)------------------------------
% 1.47/0.54 % (16606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (16606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (16606)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.54
% 1.47/0.54 % (16606)Memory used [KB]: 6140
% 1.47/0.54 % (16606)Time elapsed: 0.145 s
% 1.47/0.54 % (16606)Instructions burned: 4 (million)
% 1.47/0.54 % (16606)------------------------------
% 1.47/0.54 % (16606)------------------------------
% 1.47/0.54 % (16588)Instruction limit reached!
% 1.47/0.54 % (16588)------------------------------
% 1.47/0.54 % (16588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (16588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (16588)Termination reason: Unknown
% 1.47/0.54 % (16588)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (16588)Memory used [KB]: 6268
% 1.47/0.54 % (16588)Time elapsed: 0.149 s
% 1.47/0.54 % (16588)Instructions burned: 13 (million)
% 1.47/0.54 % (16588)------------------------------
% 1.47/0.54 % (16588)------------------------------
% 1.47/0.54 % (16597)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.47/0.54 % (16594)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.54 % (16607)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.47/0.54 % (16592)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.47/0.54 % (16603)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.54 % (16598)Instruction limit reached!
% 1.47/0.54 % (16598)------------------------------
% 1.47/0.54 % (16598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (16598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (16598)Termination reason: Unknown
% 1.47/0.55 % (16598)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (16598)Memory used [KB]: 6140
% 1.47/0.55 % (16598)Time elapsed: 0.157 s
% 1.47/0.55 % (16598)Instructions burned: 8 (million)
% 1.47/0.55 % (16598)------------------------------
% 1.47/0.55 % (16598)------------------------------
% 1.47/0.55 % (16609)First to succeed.
% 1.47/0.55 % (16591)Instruction limit reached!
% 1.47/0.55 % (16591)------------------------------
% 1.47/0.55 % (16591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (16591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (16591)Termination reason: Unknown
% 1.47/0.55 % (16591)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (16591)Memory used [KB]: 6140
% 1.47/0.55 % (16591)Time elapsed: 0.141 s
% 1.47/0.55 % (16591)Instructions burned: 13 (million)
% 1.47/0.55 % (16591)------------------------------
% 1.47/0.55 % (16591)------------------------------
% 1.47/0.55 % (16599)Instruction limit reached!
% 1.47/0.55 % (16599)------------------------------
% 1.47/0.55 % (16599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (16599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (16599)Termination reason: Unknown
% 1.47/0.55 % (16599)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (16599)Memory used [KB]: 1791
% 1.47/0.55 % (16599)Time elapsed: 0.142 s
% 1.47/0.55 % (16599)Instructions burned: 16 (million)
% 1.47/0.55 % (16599)------------------------------
% 1.47/0.55 % (16599)------------------------------
% 1.47/0.55 % (16615)Instruction limit reached!
% 1.47/0.55 % (16615)------------------------------
% 1.47/0.55 % (16615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (16615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (16615)Termination reason: Unknown
% 1.47/0.55 % (16615)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (16615)Memory used [KB]: 6140
% 1.47/0.55 % (16615)Time elapsed: 0.150 s
% 1.47/0.55 % (16615)Instructions burned: 9 (million)
% 1.47/0.55 % (16615)------------------------------
% 1.47/0.55 % (16615)------------------------------
% 1.47/0.56 % (16608)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.56 % (16616)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.47/0.56 % (16597)Instruction limit reached!
% 1.47/0.56 % (16597)------------------------------
% 1.47/0.56 % (16597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (16597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (16597)Termination reason: Unknown
% 1.47/0.56 % (16597)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (16597)Memory used [KB]: 6268
% 1.47/0.56 % (16597)Time elapsed: 0.181 s
% 1.47/0.56 % (16597)Instructions burned: 13 (million)
% 1.47/0.56 % (16597)------------------------------
% 1.47/0.56 % (16597)------------------------------
% 1.47/0.57 % (16592)Instruction limit reached!
% 1.47/0.57 % (16592)------------------------------
% 1.47/0.57 % (16592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (16592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (16592)Termination reason: Unknown
% 1.47/0.57 % (16592)Termination phase: Saturation
% 1.47/0.57
% 1.47/0.57 % (16592)Memory used [KB]: 1663
% 1.47/0.57 % (16592)Time elapsed: 0.159 s
% 1.47/0.57 % (16592)Instructions burned: 16 (million)
% 1.47/0.57 % (16592)------------------------------
% 1.47/0.57 % (16592)------------------------------
% 1.47/0.57 % (16614)Instruction limit reached!
% 1.47/0.57 % (16614)------------------------------
% 1.47/0.57 % (16614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (16609)Refutation found. Thanks to Tanya!
% 1.47/0.57 % SZS status Theorem for theBenchmark
% 1.47/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.57 % (16609)------------------------------
% 1.47/0.57 % (16609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (16609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (16609)Termination reason: Refutation
% 1.47/0.57
% 1.47/0.57 % (16609)Memory used [KB]: 6396
% 1.47/0.57 % (16609)Time elapsed: 0.130 s
% 1.47/0.57 % (16609)Instructions burned: 17 (million)
% 1.47/0.57 % (16609)------------------------------
% 1.47/0.57 % (16609)------------------------------
% 1.47/0.57 % (16586)Success in time 0.222 s
%------------------------------------------------------------------------------