TSTP Solution File: GRP628+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP628+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 : n013.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 16:17:11 EDT 2022
% Result : Theorem 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 113 ( 18 unt; 0 def)
% Number of atoms : 552 ( 50 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 722 ( 283 ~; 296 |; 100 &)
% ( 15 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 16 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 75 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f931,plain,
$false,
inference(avatar_sat_refutation,[],[f622,f628,f630,f632,f695,f697,f727,f747,f768,f796,f805,f808,f866,f908,f924,f930]) ).
fof(f930,plain,
( ~ spl27_14
| ~ spl27_16
| ~ spl27_13
| ~ spl27_17
| spl27_15
| spl27_44 ),
inference(avatar_split_clause,[],[f929,f905,f605,f613,f597,f609,f601]) ).
fof(f601,plain,
( spl27_14
<=> v4_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f609,plain,
( spl27_16
<=> v3_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f597,plain,
( spl27_13
<=> v1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f613,plain,
( spl27_17
<=> l1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f605,plain,
( spl27_15
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f905,plain,
( spl27_44
<=> m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).
fof(f929,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| spl27_44 ),
inference(resolution,[],[f907,f315]) ).
fof(f315,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f907,plain,
( ~ m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0))
| spl27_44 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f924,plain,
( ~ spl27_16
| ~ spl27_17
| spl27_15
| ~ spl27_13
| ~ spl27_14
| spl27_43 ),
inference(avatar_split_clause,[],[f923,f901,f601,f597,f605,f613,f609]) ).
fof(f901,plain,
( spl27_43
<=> v4_group_1(k3_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
fof(f923,plain,
( ~ v4_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| spl27_43 ),
inference(resolution,[],[f903,f328]) ).
fof(f328,plain,
! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ( v3_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( v3_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0)) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f903,plain,
( ~ v4_group_1(k3_autgroup(sK0))
| spl27_43 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f908,plain,
( ~ spl27_43
| ~ spl27_33
| ~ spl27_30
| ~ spl27_34
| ~ spl27_44
| spl27_35
| ~ spl27_24
| ~ spl27_29 ),
inference(avatar_split_clause,[],[f895,f761,f725,f793,f905,f789,f765,f785,f901]) ).
fof(f785,plain,
( spl27_33
<=> l1_group_1(k3_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f765,plain,
( spl27_30
<=> m1_subset_1(sK1,u1_struct_0(k3_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
fof(f789,plain,
( spl27_34
<=> v3_group_1(k3_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f793,plain,
( spl27_35
<=> v3_struct_0(k3_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
fof(f725,plain,
( spl27_24
<=> ! [X0] :
( ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK1,u1_struct_0(X0))
| ~ v4_group_1(X0)
| k2_funct_1(sK1) != k3_group_1(X0,sK1)
| ~ v3_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).
fof(f761,plain,
( spl27_29
<=> k3_group_1(k3_autgroup(sK0),sK1) = k2_funct_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).
fof(f895,plain,
( v3_struct_0(k3_autgroup(sK0))
| ~ m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0))
| ~ v3_group_1(k3_autgroup(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(k3_autgroup(sK0)))
| ~ l1_group_1(k3_autgroup(sK0))
| ~ v4_group_1(k3_autgroup(sK0))
| ~ spl27_24
| ~ spl27_29 ),
inference(trivial_inequality_removal,[],[f891]) ).
fof(f891,plain,
( v3_struct_0(k3_autgroup(sK0))
| ~ v4_group_1(k3_autgroup(sK0))
| ~ l1_group_1(k3_autgroup(sK0))
| ~ m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0))
| k2_funct_1(sK1) != k2_funct_1(sK1)
| ~ m1_subset_1(sK1,u1_struct_0(k3_autgroup(sK0)))
| ~ v3_group_1(k3_autgroup(sK0))
| ~ spl27_24
| ~ spl27_29 ),
inference(superposition,[],[f726,f763]) ).
fof(f763,plain,
( k3_group_1(k3_autgroup(sK0),sK1) = k2_funct_1(sK1)
| ~ spl27_29 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f726,plain,
( ! [X0] :
( k2_funct_1(sK1) != k3_group_1(X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ v3_group_1(X0) )
| ~ spl27_24 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f866,plain,
( ~ spl27_17
| ~ spl27_16
| ~ spl27_13
| spl27_15
| ~ spl27_14
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f865,f793,f601,f605,f597,f609,f613]) ).
fof(f865,plain,
( ~ v4_group_1(sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl27_35 ),
inference(resolution,[],[f795,f330]) ).
fof(f330,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f795,plain,
( v3_struct_0(k3_autgroup(sK0))
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f808,plain,
( spl27_15
| ~ spl27_16
| ~ spl27_13
| ~ spl27_17
| ~ spl27_14
| spl27_34 ),
inference(avatar_split_clause,[],[f807,f789,f601,f613,f597,f609,f605]) ).
fof(f807,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl27_34 ),
inference(resolution,[],[f791,f332]) ).
fof(f332,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f791,plain,
( ~ v3_group_1(k3_autgroup(sK0))
| spl27_34 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f805,plain,
( ~ spl27_17
| spl27_15
| ~ spl27_13
| ~ spl27_14
| ~ spl27_16
| spl27_33 ),
inference(avatar_split_clause,[],[f804,f785,f609,f601,f597,f605,f613]) ).
fof(f804,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl27_33 ),
inference(resolution,[],[f787,f331]) ).
fof(f331,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f787,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| spl27_33 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f796,plain,
( ~ spl27_33
| ~ spl27_34
| spl27_30
| ~ spl27_13
| spl27_35
| spl27_15
| ~ spl27_17
| ~ spl27_14
| ~ spl27_16 ),
inference(avatar_split_clause,[],[f783,f609,f601,f613,f605,f793,f597,f765,f789,f785]) ).
fof(f783,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| v3_struct_0(k3_autgroup(sK0))
| ~ v1_group_1(sK0)
| m1_subset_1(sK1,u1_struct_0(k3_autgroup(sK0)))
| ~ v3_group_1(k3_autgroup(sK0))
| ~ l1_group_1(k3_autgroup(sK0)) ),
inference(resolution,[],[f617,f315]) ).
fof(f617,plain,
! [X0] :
( ~ m1_group_2(k5_autgroup(sK0),X0)
| m1_subset_1(sK1,u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f384,f392]) ).
fof(f392,plain,
m1_subset_1(sK1,u1_struct_0(k5_autgroup(sK0))),
inference(definition_unfolding,[],[f271,f269]) ).
fof(f269,plain,
sK2 = sK1,
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ~ v3_struct_0(sK0)
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0)))
& k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK1)
& sK2 = sK1
& v4_group_1(sK0)
& v3_group_1(sK0)
& l1_group_1(sK0)
& v1_group_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f137,f190,f189,f188]) ).
fof(f188,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
& k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2 ) )
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0) )
=> ( ~ v3_struct_0(sK0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0)))
& k2_funct_1(X1) != k3_group_1(k5_autgroup(sK0),X2)
& X1 = X2 ) )
& v4_group_1(sK0)
& v3_group_1(sK0)
& l1_group_1(sK0)
& v1_group_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0)))
& k2_funct_1(X1) != k3_group_1(k5_autgroup(sK0),X2)
& X1 = X2 ) )
=> ( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0)))
& k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),X2)
& sK1 = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK0)))
& k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),X2)
& sK1 = X2 )
=> ( m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0)))
& k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK1)
& sK2 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
& k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2 ) )
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_autgroup) ).
fof(f271,plain,
m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))),
inference(cnf_transformation,[],[f191]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f768,plain,
( ~ spl27_14
| spl27_29
| spl27_15
| ~ spl27_13
| ~ spl27_30
| ~ spl27_16
| ~ spl27_17
| ~ spl27_22 ),
inference(avatar_split_clause,[],[f755,f692,f613,f609,f765,f597,f605,f761,f601]) ).
fof(f692,plain,
( spl27_22
<=> m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f755,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(k3_autgroup(sK0)))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| k3_group_1(k3_autgroup(sK0),sK1) = k2_funct_1(sK1)
| ~ v4_group_1(sK0)
| ~ spl27_22 ),
inference(resolution,[],[f694,f394]) ).
fof(f394,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2) ),
inference(equality_resolution,[],[f290]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| X1 != X2
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ! [X2] :
( X1 != X2
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_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),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_autgroup) ).
fof(f694,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f747,plain,
spl27_23,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| spl27_23 ),
inference(resolution,[],[f723,f392]) ).
fof(f723,plain,
( ~ m1_subset_1(sK1,u1_struct_0(k5_autgroup(sK0)))
| spl27_23 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl27_23
<=> m1_subset_1(sK1,u1_struct_0(k5_autgroup(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
fof(f727,plain,
( ~ spl27_23
| spl27_24 ),
inference(avatar_split_clause,[],[f710,f725,f721]) ).
fof(f710,plain,
! [X0] :
( ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ v3_group_1(X0)
| k2_funct_1(sK1) != k3_group_1(X0,sK1)
| ~ v4_group_1(X0)
| ~ m1_subset_1(sK1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(sK1,u1_struct_0(k5_autgroup(sK0))) ),
inference(superposition,[],[f393,f395]) ).
fof(f395,plain,
! [X2,X3,X0] :
( k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(equality_resolution,[],[f365]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| X1 != X3
| k3_group_1(X0,X1) = k3_group_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( X1 != X3
| k3_group_1(X0,X1) = k3_group_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) ) )
| ~ v4_group_1(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X1 = X3
=> k3_group_1(X0,X1) = k3_group_1(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_group_2) ).
fof(f393,plain,
k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK1),
inference(definition_unfolding,[],[f270,f269]) ).
fof(f270,plain,
k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK1),
inference(cnf_transformation,[],[f191]) ).
fof(f697,plain,
~ spl27_15,
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f696,plain,
( $false
| ~ spl27_15 ),
inference(resolution,[],[f607,f273]) ).
fof(f273,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f191]) ).
fof(f607,plain,
( v3_struct_0(sK0)
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f695,plain,
( ~ spl27_14
| ~ spl27_13
| spl27_22
| ~ spl27_16
| ~ spl27_17
| spl27_15 ),
inference(avatar_split_clause,[],[f688,f605,f613,f609,f692,f597,f601]) ).
fof(f688,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(resolution,[],[f299,f272]) ).
fof(f272,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f191]) ).
fof(f299,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(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)) )
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,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)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v1_group_1(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/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f632,plain,
spl27_17,
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| spl27_17 ),
inference(resolution,[],[f615,f266]) ).
fof(f266,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f191]) ).
fof(f615,plain,
( ~ l1_group_1(sK0)
| spl27_17 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f630,plain,
spl27_16,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| spl27_16 ),
inference(resolution,[],[f611,f267]) ).
fof(f267,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f191]) ).
fof(f611,plain,
( ~ v3_group_1(sK0)
| spl27_16 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f628,plain,
spl27_14,
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl27_14 ),
inference(resolution,[],[f603,f268]) ).
fof(f268,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f191]) ).
fof(f603,plain,
( ~ v4_group_1(sK0)
| spl27_14 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f622,plain,
spl27_13,
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| spl27_13 ),
inference(resolution,[],[f599,f265]) ).
fof(f265,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f191]) ).
fof(f599,plain,
( ~ v1_group_1(sK0)
| spl27_13 ),
inference(avatar_component_clause,[],[f597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 22:32:46 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.42 % (7812)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)
% 0.16/0.43 % (7812)Instruction limit reached!
% 0.16/0.43 % (7812)------------------------------
% 0.16/0.43 % (7812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.43 % (7812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.43 % (7812)Termination reason: Unknown
% 0.16/0.43 % (7812)Termination phase: Property scanning
% 0.16/0.43
% 0.16/0.43 % (7812)Memory used [KB]: 1535
% 0.16/0.43 % (7812)Time elapsed: 0.005 s
% 0.16/0.43 % (7812)Instructions burned: 4 (million)
% 0.16/0.43 % (7812)------------------------------
% 0.16/0.43 % (7812)------------------------------
% 0.16/0.43 % (7821)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)
% 0.16/0.45 % (7821)First to succeed.
% 0.16/0.45 % (7821)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (7821)------------------------------
% 0.16/0.45 % (7821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (7821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (7821)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (7821)Memory used [KB]: 6524
% 0.16/0.45 % (7821)Time elapsed: 0.077 s
% 0.16/0.45 % (7821)Instructions burned: 21 (million)
% 0.16/0.45 % (7821)------------------------------
% 0.16/0.45 % (7821)------------------------------
% 0.16/0.45 % (7797)Success in time 0.127 s
%------------------------------------------------------------------------------