TSTP Solution File: GRP620+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP620+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_sat --cores 0 -t %d %s
% Computer : n027.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 16:23:03 EDT 2022
% Result : Theorem 1.62s 0.62s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 42
% Syntax : Number of formulae : 181 ( 15 unt; 0 def)
% Number of atoms : 961 ( 22 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1277 ( 497 ~; 539 |; 162 &)
% ( 41 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 24 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 206 ( 194 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1132,plain,
$false,
inference(avatar_sat_refutation,[],[f501,f522,f605,f607,f612,f617,f619,f621,f626,f631,f636,f641,f659,f666,f683,f701,f812,f826,f831,f838,f903,f983,f1129,f1131]) ).
fof(f1131,plain,
( ~ spl28_11
| ~ spl28_45
| ~ spl28_39
| spl28_17
| ~ spl28_16
| ~ spl28_28
| ~ spl28_20
| ~ spl28_41
| ~ spl28_18
| spl28_56
| ~ spl28_15
| ~ spl28_19
| ~ spl28_14
| ~ spl28_42 ),
inference(avatar_split_clause,[],[f1046,f828,f590,f623,f594,f980,f614,f823,f628,f698,f598,f602,f795,f900,f511]) ).
fof(f511,plain,
( spl28_11
<=> v1_funct_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f900,plain,
( spl28_45
<=> v4_group_6(sK24,sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_45])]) ).
fof(f795,plain,
( spl28_39
<=> v1_group_6(sK24,sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
fof(f602,plain,
( spl28_17
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f598,plain,
( spl28_16
<=> v3_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f698,plain,
( spl28_28
<=> v1_group_6(k2_funct_1(sK24),sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_28])]) ).
fof(f628,plain,
( spl28_20
<=> m2_relset_1(sK24,u1_struct_0(sK23),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f823,plain,
( spl28_41
<=> v1_funct_2(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_41])]) ).
fof(f614,plain,
( spl28_18
<=> v1_funct_1(k2_funct_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
fof(f980,plain,
( spl28_56
<=> v4_group_6(k2_funct_1(sK24),sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_56])]) ).
fof(f594,plain,
( spl28_15
<=> v4_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f623,plain,
( spl28_19
<=> v1_funct_2(sK24,u1_struct_0(sK23),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f590,plain,
( spl28_14
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f828,plain,
( spl28_42
<=> m2_relset_1(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_42])]) ).
fof(f1046,plain,
( ~ l1_group_1(sK23)
| ~ v1_funct_2(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v4_group_1(sK23)
| v4_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ v1_funct_1(k2_funct_1(sK24))
| ~ v1_funct_2(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ m2_relset_1(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v1_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23)
| ~ v1_group_6(sK24,sK23,sK23)
| ~ v4_group_6(sK24,sK23,sK23)
| ~ v1_funct_1(sK24)
| ~ spl28_42 ),
inference(duplicate_literal_removal,[],[f1044]) ).
fof(f1044,plain,
( v3_struct_0(sK23)
| ~ v4_group_6(sK24,sK23,sK23)
| ~ v1_group_6(sK24,sK23,sK23)
| ~ l1_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ v1_funct_2(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v1_funct_2(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v4_group_1(sK23)
| ~ v1_funct_1(k2_funct_1(sK24))
| ~ v3_group_1(sK23)
| ~ l1_group_1(sK23)
| v4_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23)
| ~ v1_funct_1(sK24)
| ~ v1_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ m2_relset_1(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ spl28_42 ),
inference(resolution,[],[f386,f830]) ).
fof(f830,plain,
( m2_relset_1(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ spl28_42 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k2_funct_1(X2))
| ~ v3_group_1(X0)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v1_group_6(X2,X1,X0)
| v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_group_6(X2,X1,X0)
| ~ v1_group_6(k2_funct_1(X2),X0,X1) ),
inference(equality_resolution,[],[f333]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X1)
| v4_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ! [X3] :
( ~ v1_group_6(X3,X0,X1)
| v4_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3) )
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v4_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0) )
=> ! [X3] :
( ( v1_group_6(X3,X0,X1)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v4_group_6(X2,X1,X0)
& k2_funct_1(X2) = X3 )
=> v4_group_6(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_group_6) ).
fof(f1129,plain,
( spl28_22
| ~ spl28_55 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| spl28_22
| ~ spl28_55 ),
inference(resolution,[],[f978,f894]) ).
fof(f894,plain,
( ~ r2_hidden(k2_funct_1(sK24),k1_autgroup(sK23))
| spl28_22 ),
inference(resolution,[],[f640,f320]) ).
fof(f320,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X1,X0] :
( r2_hidden(X1,X0)
=> m1_subset_1(X1,X0) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X1,X0] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f640,plain,
( ~ m1_subset_1(k2_funct_1(sK24),k1_autgroup(sK23))
| spl28_22 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl28_22
<=> m1_subset_1(k2_funct_1(sK24),k1_autgroup(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f978,plain,
( r2_hidden(k2_funct_1(sK24),k1_autgroup(sK23))
| ~ spl28_55 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl28_55
<=> r2_hidden(k2_funct_1(sK24),k1_autgroup(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_55])]) ).
fof(f983,plain,
( ~ spl28_18
| ~ spl28_15
| ~ spl28_16
| spl28_55
| ~ spl28_4
| spl28_17
| ~ spl28_28
| ~ spl28_56
| ~ spl28_14
| ~ spl28_41
| ~ spl28_42 ),
inference(avatar_split_clause,[],[f966,f828,f823,f590,f980,f698,f602,f469,f976,f598,f594,f614]) ).
fof(f469,plain,
( spl28_4
<=> v1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f966,plain,
( ~ v1_funct_2(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ l1_group_1(sK23)
| ~ v4_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ v1_group_6(k2_funct_1(sK24),sK23,sK23)
| v3_struct_0(sK23)
| ~ v1_group_1(sK23)
| r2_hidden(k2_funct_1(sK24),k1_autgroup(sK23))
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ v1_funct_1(k2_funct_1(sK24))
| ~ spl28_42 ),
inference(resolution,[],[f830,f335]) ).
fof(f335,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ l1_group_1(X0)
| ~ v4_group_6(X1,X0,X0)
| r2_hidden(X1,k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,X0)
| ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,X0)
| ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0) )
=> ! [X1] :
( ( v1_group_6(X1,X0,X0)
& v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f903,plain,
( ~ spl28_15
| ~ spl28_19
| ~ spl28_16
| ~ spl28_39
| spl28_17
| ~ spl28_25
| ~ spl28_14
| spl28_45
| ~ spl28_4
| ~ spl28_11
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f898,f628,f511,f469,f900,f590,f680,f602,f795,f598,f623,f594]) ).
fof(f680,plain,
( spl28_25
<=> r2_hidden(sK24,k1_autgroup(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).
fof(f898,plain,
( ~ v1_funct_1(sK24)
| ~ v1_group_1(sK23)
| v4_group_6(sK24,sK23,sK23)
| ~ l1_group_1(sK23)
| ~ r2_hidden(sK24,k1_autgroup(sK23))
| v3_struct_0(sK23)
| ~ v1_group_6(sK24,sK23,sK23)
| ~ v3_group_1(sK23)
| ~ v1_funct_2(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v4_group_1(sK23)
| ~ spl28_20 ),
inference(resolution,[],[f334,f630]) ).
fof(f630,plain,
( m2_relset_1(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f334,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f838,plain,
( ~ spl28_16
| spl28_17
| ~ spl28_15
| ~ spl28_14
| ~ spl28_4
| ~ spl28_12
| spl28_39 ),
inference(avatar_split_clause,[],[f835,f795,f515,f469,f590,f594,f602,f598]) ).
fof(f515,plain,
( spl28_12
<=> m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f835,plain,
( v1_group_6(sK24,sK23,sK23)
| ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v1_group_1(sK23)
| ~ l1_group_1(sK23)
| ~ v4_group_1(sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23) ),
inference(resolution,[],[f384,f374]) ).
fof(f374,plain,
m2_fraenkel(sK24,u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23)),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( l1_group_1(sK23)
& v3_group_1(sK23)
& ~ m2_fraenkel(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23))
& m2_fraenkel(sK24,u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23))
& v1_group_1(sK23)
& v4_group_1(sK23)
& ~ v3_struct_0(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f127,f233,f232]) ).
fof(f232,plain,
( ? [X0] :
( l1_group_1(X0)
& v3_group_1(X0)
& ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l1_group_1(sK23)
& v3_group_1(sK23)
& ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23))
& m2_fraenkel(X1,u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23)) )
& v1_group_1(sK23)
& v4_group_1(sK23)
& ~ v3_struct_0(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23))
& m2_fraenkel(X1,u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23)) )
=> ( ~ m2_fraenkel(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23))
& m2_fraenkel(sK24,u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0] :
( l1_group_1(X0)
& v3_group_1(X0)
& ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f384,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_6(X2,X0,X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0) ),
inference(equality_resolution,[],[f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| v1_group_6(X2,X0,X0)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( ( sP0(X1,X0)
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 )
& ( k1_autgroup(X0) = X1
| ~ sP0(X1,X0)
| ( ( ~ m2_relset_1(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK2(X0,X1))
| ~ v1_group_6(sK2(X0,X1),X0,X0)
| ~ v1_funct_2(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f167,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
=> ( ( ~ m2_relset_1(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK2(X0,X1))
| ~ v1_group_6(sK2(X0,X1),X0,X0)
| ~ v1_funct_2(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK2(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( ( sP0(X1,X0)
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 )
& ( k1_autgroup(X0) = X1
| ~ sP0(X1,X0)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( ( sP0(X1,X0)
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 )
& ( k1_autgroup(X0) = X1
| ~ sP0(X1,X0)
| ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( ( sP0(X1,X0)
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 )
& ( k1_autgroup(X0) = X1
| ~ sP0(X1,X0)
| ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( sP0(X1,X0)
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
<=> k1_autgroup(X0) = X1 )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(definition_folding,[],[f133,f158]) ).
fof(f158,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X3] :
( ( ( v3_group_6(X3,X0,X0)
& v2_funct_1(X3) )
<=> r2_hidden(X3,X1) )
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f133,plain,
! [X0] :
( ~ v1_group_1(X0)
| ! [X1] :
( ( ( ! [X3] :
( ( ( v3_group_6(X3,X0,X0)
& v2_funct_1(X3) )
<=> r2_hidden(X3,X1) )
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
& ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
<=> k1_autgroup(X0) = X1 )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( ( v3_group_6(X3,X0,X0)
& v2_funct_1(X3) )
<=> r2_hidden(X3,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( v4_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( ( v3_group_6(X3,X0,X0)
& v2_funct_1(X3) )
<=> r2_hidden(X3,X1) ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( v4_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2)
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_1(X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) )
<=> r2_hidden(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f831,plain,
( ~ spl28_4
| spl28_42
| ~ spl28_14
| spl28_17
| ~ spl28_15
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f815,f598,f594,f602,f590,f828,f469]) ).
fof(f815,plain,
( ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| v3_struct_0(sK23)
| ~ l1_group_1(sK23)
| m2_relset_1(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ v1_group_1(sK23) ),
inference(resolution,[],[f374,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f826,plain,
( ~ spl28_16
| ~ spl28_15
| ~ spl28_14
| spl28_17
| spl28_41
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f814,f469,f823,f602,f590,f594,f598]) ).
fof(f814,plain,
( ~ v1_group_1(sK23)
| v1_funct_2(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23))
| v3_struct_0(sK23)
| ~ l1_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ v3_group_1(sK23) ),
inference(resolution,[],[f374,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f812,plain,
( ~ spl28_12
| ~ spl28_24 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl28_12
| ~ spl28_24 ),
inference(resolution,[],[f777,f317]) ).
fof(f317,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f777,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl28_12
| ~ spl28_24 ),
inference(resolution,[],[f707,f287]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X1,X2,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& v1_fraenkel(X1) )
| ~ m1_fraenkel(X1,X2,X0) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X1,X2,X0] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X2,X1,X0] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f707,plain,
( m1_fraenkel(k1_xboole_0,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ spl28_12
| ~ spl28_24 ),
inference(backward_demodulation,[],[f516,f703]) ).
fof(f703,plain,
( k1_xboole_0 = k1_autgroup(sK23)
| ~ spl28_24 ),
inference(resolution,[],[f678,f270]) ).
fof(f270,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f678,plain,
( v1_xboole_0(k1_autgroup(sK23))
| ~ spl28_24 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl28_24
<=> v1_xboole_0(k1_autgroup(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).
fof(f516,plain,
( m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f701,plain,
( spl28_17
| ~ spl28_16
| ~ spl28_15
| spl28_28
| ~ spl28_14
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f696,f469,f590,f698,f594,f598,f602]) ).
fof(f696,plain,
( ~ v1_group_1(sK23)
| ~ l1_group_1(sK23)
| v1_group_6(k2_funct_1(sK24),sK23,sK23)
| ~ v4_group_1(sK23)
| ~ v3_group_1(sK23)
| v3_struct_0(sK23) ),
inference(resolution,[],[f294,f374]) ).
fof(f294,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| v1_group_6(k2_funct_1(X1),X0,X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f683,plain,
( spl28_24
| spl28_25
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f672,f633,f680,f676]) ).
fof(f633,plain,
( spl28_21
<=> m1_subset_1(sK24,k1_autgroup(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f672,plain,
( r2_hidden(sK24,k1_autgroup(sK23))
| v1_xboole_0(k1_autgroup(sK23))
| ~ spl28_21 ),
inference(resolution,[],[f635,f368]) ).
fof(f368,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f635,plain,
( m1_subset_1(sK24,k1_autgroup(sK23))
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f666,plain,
( ~ spl28_14
| spl28_23 ),
inference(avatar_split_clause,[],[f665,f656,f590]) ).
fof(f656,plain,
( spl28_23
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
fof(f665,plain,
( ~ l1_group_1(sK23)
| spl28_23 ),
inference(resolution,[],[f658,f273]) ).
fof(f273,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f658,plain,
( ~ l1_struct_0(sK23)
| spl28_23 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f659,plain,
( ~ spl28_23
| spl28_17
| ~ spl28_13 ),
inference(avatar_split_clause,[],[f644,f519,f602,f656]) ).
fof(f519,plain,
( spl28_13
<=> v1_xboole_0(u1_struct_0(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f644,plain,
( v3_struct_0(sK23)
| ~ l1_struct_0(sK23)
| ~ spl28_13 ),
inference(resolution,[],[f521,f316]) ).
fof(f316,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f521,plain,
( v1_xboole_0(u1_struct_0(sK23))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f641,plain,
( spl28_13
| ~ spl28_22
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f530,f515,f638,f519]) ).
fof(f530,plain,
( ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| ~ m1_subset_1(k2_funct_1(sK24),k1_autgroup(sK23))
| v1_xboole_0(u1_struct_0(sK23)) ),
inference(resolution,[],[f307,f375]) ).
fof(f375,plain,
~ m2_fraenkel(k2_funct_1(sK24),u1_struct_0(sK23),u1_struct_0(sK23),k1_autgroup(sK23)),
inference(cnf_transformation,[],[f234]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X1,X2)
| ! [X3] :
( ( m1_subset_1(X3,X0)
| ~ m2_fraenkel(X3,X1,X2,X0) )
& ( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0) ) )
| v1_xboole_0(X2) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X1,X2)
| ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) )
| v1_xboole_0(X2) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X0,X1,X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X2,X0,X1] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f636,plain,
( ~ spl28_12
| spl28_13
| spl28_21 ),
inference(avatar_split_clause,[],[f535,f633,f519,f515]) ).
fof(f535,plain,
( m1_subset_1(sK24,k1_autgroup(sK23))
| v1_xboole_0(u1_struct_0(sK23))
| ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23)) ),
inference(resolution,[],[f308,f374]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2)
| m1_subset_1(X3,X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f631,plain,
( spl28_13
| ~ spl28_12
| spl28_20 ),
inference(avatar_split_clause,[],[f542,f628,f515,f519]) ).
fof(f542,plain,
( m2_relset_1(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| v1_xboole_0(u1_struct_0(sK23)) ),
inference(resolution,[],[f361,f374]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X0,X2)
| ~ m1_fraenkel(X2,X1,X0)
| m2_relset_1(X3,X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1,X2] :
( v1_xboole_0(X0)
| ! [X3] :
( ( v1_funct_2(X3,X1,X0)
& v1_funct_1(X3)
& m2_relset_1(X3,X1,X0) )
| ~ m2_fraenkel(X3,X1,X0,X2) )
| ~ m1_fraenkel(X2,X1,X0) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0,X2,X1] :
( v1_xboole_0(X0)
| ! [X3] :
( ( v1_funct_2(X3,X2,X0)
& v1_funct_1(X3)
& m2_relset_1(X3,X2,X0) )
| ~ m2_fraenkel(X3,X2,X0,X1) )
| ~ m1_fraenkel(X1,X2,X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X1,X0,X2] :
( ! [X3] :
( ( v1_funct_2(X3,X2,X0)
& v1_funct_1(X3)
& m2_relset_1(X3,X2,X0) )
| ~ m2_fraenkel(X3,X2,X0,X1) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ( m1_fraenkel(X1,X2,X0)
& ~ v1_xboole_0(X0) )
=> ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
=> ( v1_funct_2(X3,X2,X0)
& v1_funct_1(X3)
& m2_relset_1(X3,X2,X0) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X2,X0] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f626,plain,
( ~ spl28_12
| spl28_19
| spl28_13 ),
inference(avatar_split_clause,[],[f547,f519,f623,f515]) ).
fof(f547,plain,
( v1_xboole_0(u1_struct_0(sK23))
| v1_funct_2(sK24,u1_struct_0(sK23),u1_struct_0(sK23))
| ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23)) ),
inference(resolution,[],[f363,f374]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X0,X2)
| v1_funct_2(X3,X1,X0)
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f621,plain,
~ spl28_17,
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl28_17 ),
inference(resolution,[],[f604,f371]) ).
fof(f371,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f234]) ).
fof(f604,plain,
( v3_struct_0(sK23)
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f619,plain,
spl28_16,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| spl28_16 ),
inference(resolution,[],[f600,f376]) ).
fof(f376,plain,
v3_group_1(sK23),
inference(cnf_transformation,[],[f234]) ).
fof(f600,plain,
( ~ v3_group_1(sK23)
| spl28_16 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f617,plain,
( ~ spl28_16
| ~ spl28_14
| spl28_17
| spl28_18
| ~ spl28_4
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f608,f594,f469,f614,f602,f590,f598]) ).
fof(f608,plain,
( ~ v4_group_1(sK23)
| ~ v1_group_1(sK23)
| v1_funct_1(k2_funct_1(sK24))
| v3_struct_0(sK23)
| ~ l1_group_1(sK23)
| ~ v3_group_1(sK23) ),
inference(resolution,[],[f295,f374]) ).
fof(f295,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v1_funct_1(k2_funct_1(X1))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f612,plain,
spl28_15,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| spl28_15 ),
inference(resolution,[],[f596,f372]) ).
fof(f372,plain,
v4_group_1(sK23),
inference(cnf_transformation,[],[f234]) ).
fof(f596,plain,
( ~ v4_group_1(sK23)
| spl28_15 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f607,plain,
spl28_14,
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| spl28_14 ),
inference(resolution,[],[f592,f377]) ).
fof(f377,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f234]) ).
fof(f592,plain,
( ~ l1_group_1(sK23)
| spl28_14 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f605,plain,
( ~ spl28_14
| ~ spl28_15
| ~ spl28_4
| ~ spl28_16
| spl28_17
| spl28_12 ),
inference(avatar_split_clause,[],[f588,f515,f602,f598,f469,f594,f590]) ).
fof(f588,plain,
( v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v1_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23)
| spl28_12 ),
inference(resolution,[],[f517,f261]) ).
fof(f261,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ v1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f517,plain,
( ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| spl28_12 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f522,plain,
( spl28_11
| ~ spl28_12
| spl28_13 ),
inference(avatar_split_clause,[],[f509,f519,f515,f511]) ).
fof(f509,plain,
( v1_xboole_0(u1_struct_0(sK23))
| ~ m1_fraenkel(k1_autgroup(sK23),u1_struct_0(sK23),u1_struct_0(sK23))
| v1_funct_1(sK24) ),
inference(resolution,[],[f362,f374]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X0,X2)
| v1_funct_1(X3)
| v1_xboole_0(X0)
| ~ m1_fraenkel(X2,X1,X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f501,plain,
spl28_4,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| spl28_4 ),
inference(resolution,[],[f471,f373]) ).
fof(f373,plain,
v1_group_1(sK23),
inference(cnf_transformation,[],[f234]) ).
fof(f471,plain,
( ~ v1_group_1(sK23)
| spl28_4 ),
inference(avatar_component_clause,[],[f469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:50:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (4581)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (4589)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (4570)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (4569)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (4568)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (4587)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (4595)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (4593)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (4596)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (4590)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (4571)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (4573)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (4572)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (4597)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (4582)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (4584)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (4579)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (4585)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (4578)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (4580)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (4574)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (4569)Refutation not found, incomplete strategy% (4569)------------------------------
% 0.20/0.54 % (4569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4569)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (4569)Memory used [KB]: 5756
% 0.20/0.54 % (4569)Time elapsed: 0.135 s
% 0.20/0.54 % (4569)Instructions burned: 12 (million)
% 0.20/0.54 % (4569)------------------------------
% 0.20/0.54 % (4569)------------------------------
% 0.20/0.55 % (4586)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (4588)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (4577)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.48/0.55 % (4592)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.55 % (4575)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.48/0.55 % (4591)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.48/0.55 % (4576)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.55 % (4594)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.48/0.55 % (4575)Instruction limit reached!
% 1.48/0.55 % (4575)------------------------------
% 1.48/0.55 % (4575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (4575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (4575)Termination reason: Unknown
% 1.48/0.55 % (4575)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (4575)Memory used [KB]: 5628
% 1.48/0.55 % (4575)Time elapsed: 0.005 s
% 1.48/0.55 % (4575)Instructions burned: 7 (million)
% 1.48/0.55 % (4575)------------------------------
% 1.48/0.55 % (4575)------------------------------
% 1.48/0.56 % (4583)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.48/0.56 TRYING [1]
% 1.62/0.57 TRYING [1]
% 1.62/0.57 % (4576)Instruction limit reached!
% 1.62/0.57 % (4576)------------------------------
% 1.62/0.57 % (4576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (4576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (4576)Termination reason: Unknown
% 1.62/0.57 % (4576)Termination phase: Preprocessing 2
% 1.62/0.57
% 1.62/0.57 % (4576)Memory used [KB]: 1023
% 1.62/0.57 % (4576)Time elapsed: 0.004 s
% 1.62/0.57 % (4576)Instructions burned: 2 (million)
% 1.62/0.57 % (4576)------------------------------
% 1.62/0.57 % (4576)------------------------------
% 1.62/0.57 TRYING [1]
% 1.62/0.58 TRYING [2]
% 1.62/0.59 TRYING [2]
% 1.62/0.59 % (4570)Instruction limit reached!
% 1.62/0.59 % (4570)------------------------------
% 1.62/0.59 % (4570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (4570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (4570)Termination reason: Unknown
% 1.62/0.59 % (4570)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (4570)Memory used [KB]: 1535
% 1.62/0.59 % (4570)Time elapsed: 0.180 s
% 1.62/0.59 % (4570)Instructions burned: 37 (million)
% 1.62/0.59 % (4570)------------------------------
% 1.62/0.59 % (4570)------------------------------
% 1.62/0.59 TRYING [2]
% 1.62/0.60 % (4578)First to succeed.
% 1.62/0.60 TRYING [3]
% 1.62/0.62 % (4574)Instruction limit reached!
% 1.62/0.62 % (4574)------------------------------
% 1.62/0.62 % (4574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (4574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (4574)Termination reason: Unknown
% 1.62/0.62 % (4574)Termination phase: Finite model building constraint generation
% 1.62/0.62
% 1.62/0.62 % (4574)Memory used [KB]: 7036
% 1.62/0.62 % (4574)Time elapsed: 0.131 s
% 1.62/0.62 % (4574)Instructions burned: 51 (million)
% 1.62/0.62 % (4574)------------------------------
% 1.62/0.62 % (4574)------------------------------
% 1.62/0.62 % (4573)Instruction limit reached!
% 1.62/0.62 % (4573)------------------------------
% 1.62/0.62 % (4573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (4573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (4573)Termination reason: Unknown
% 1.62/0.62 % (4573)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (4573)Memory used [KB]: 6140
% 1.62/0.62 % (4573)Time elapsed: 0.210 s
% 1.62/0.62 % (4573)Instructions burned: 50 (million)
% 1.62/0.62 % (4573)------------------------------
% 1.62/0.62 % (4573)------------------------------
% 1.62/0.62 % (4571)Instruction limit reached!
% 1.62/0.62 % (4571)------------------------------
% 1.62/0.62 % (4571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (4571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (4571)Termination reason: Unknown
% 1.62/0.62 % (4571)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (4571)Memory used [KB]: 6524
% 1.62/0.62 % (4571)Time elapsed: 0.207 s
% 1.62/0.62 % (4571)Instructions burned: 51 (million)
% 1.62/0.62 % (4571)------------------------------
% 1.62/0.62 % (4571)------------------------------
% 1.62/0.62 % (4572)Instruction limit reached!
% 1.62/0.62 % (4572)------------------------------
% 1.62/0.62 % (4572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (4572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (4572)Termination reason: Unknown
% 1.62/0.62 % (4572)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (4572)Memory used [KB]: 6780
% 1.62/0.62 % (4572)Time elapsed: 0.210 s
% 1.62/0.62 % (4572)Instructions burned: 51 (million)
% 1.62/0.62 % (4572)------------------------------
% 1.62/0.62 % (4572)------------------------------
% 1.62/0.62 % (4585)Instruction limit reached!
% 1.62/0.62 % (4585)------------------------------
% 1.62/0.62 % (4585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (4585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (4585)Termination reason: Unknown
% 1.62/0.62 % (4585)Termination phase: Finite model building SAT solving
% 1.62/0.62
% 1.62/0.62 % (4585)Memory used [KB]: 7036
% 1.62/0.62 % (4585)Time elapsed: 0.178 s
% 1.62/0.62 % (4585)Instructions burned: 61 (million)
% 1.62/0.62 % (4585)------------------------------
% 1.62/0.62 % (4585)------------------------------
% 1.62/0.62 % (4578)Refutation found. Thanks to Tanya!
% 1.62/0.62 % SZS status Theorem for theBenchmark
% 1.62/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.63 % (4578)------------------------------
% 1.62/0.63 % (4578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.63 % (4578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.63 % (4578)Termination reason: Refutation
% 1.62/0.63
% 1.62/0.63 % (4578)Memory used [KB]: 6268
% 1.62/0.63 % (4578)Time elapsed: 0.180 s
% 1.62/0.63 % (4578)Instructions burned: 30 (million)
% 1.62/0.63 % (4578)------------------------------
% 1.62/0.63 % (4578)------------------------------
% 1.62/0.63 % (4567)Success in time 0.265 s
%------------------------------------------------------------------------------