TSTP Solution File: GRP648+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP648+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 : n017.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 16:23:21 EDT 2022
% Result : Theorem 15.92s 2.35s
% Output : Refutation 15.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 52
% Syntax : Number of formulae : 414 ( 28 unt; 0 def)
% Number of atoms : 2418 ( 266 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 3317 (1313 ~;1440 |; 431 &)
% ( 48 <=>; 83 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 21 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 5 con; 0-6 aty)
% Number of variables : 547 ( 478 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11494,plain,
$false,
inference(avatar_sat_refutation,[],[f502,f503,f1110,f1116,f1131,f1143,f1194,f1200,f2604,f4167,f4308,f4372,f5655,f5662,f6612,f10469,f10498,f10714,f10776,f10827,f10889,f11493]) ).
fof(f11493,plain,
spl27_76,
inference(avatar_contradiction_clause,[],[f11492]) ).
fof(f11492,plain,
( $false
| spl27_76 ),
inference(subsumption_resolution,[],[f11491,f439]) ).
fof(f439,plain,
v3_group_1(sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ v3_struct_0(sK21)
& m1_group_2(sK22,sK21)
& ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),sK24,sK25) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),sK24,sK25) )
& m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
& sK23 = sK25
& sK22 = sK24
& m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
& m1_group_2(sK23,sK21)
& v3_group_1(sK21)
& v4_group_1(sK21)
& l1_group_1(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f316,f321,f320,f319,f318,f317]) ).
fof(f317,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) ) )
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(sK21)
& ? [X1] :
( m1_group_2(X1,sK21)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,sK21,X2)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(X1,sK21,X2)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
& m1_group_2(X2,sK21) ) )
& v3_group_1(sK21)
& v4_group_1(sK21)
& l1_group_1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ? [X1] :
( m1_group_2(X1,sK21)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,sK21,X2)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(X1,sK21,X2)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
& m1_group_2(X2,sK21) ) )
=> ( m1_group_2(sK22,sK21)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,X2)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(sK22,sK21,X2)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& X2 = X4
& sK22 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
& m1_group_2(X2,sK21) ) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,X2)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(sK22,sK21,X2)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& X2 = X4
& sK22 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
& m1_group_2(X2,sK21) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& sK23 = X4
& sK22 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
& m1_group_2(sK23,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),X3,X4) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& sK23 = X4
& sK22 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(sK21))) )
=> ( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),sK24,X4) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),sK24,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& sK23 = X4
& sK22 = sK24 )
& m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21))) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
( ? [X4] :
( ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),sK24,X4) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),sK24,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(sK21)))
& sK23 = X4
& sK22 = sK24 )
=> ( ( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),sK24,sK25) )
& ( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),sK24,sK25) )
& m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
& sK23 = sK25
& sK22 = sK24 ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) ) )
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f315]) ).
fof(f315,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) ) )
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
& X2 = X4
& X1 = X3 )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) ) )
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X1 = X3
& X2 = X4
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_latsubgr) ).
fof(f11491,plain,
( ~ v3_group_1(sK21)
| spl27_76 ),
inference(subsumption_resolution,[],[f11490,f437]) ).
fof(f437,plain,
l1_group_1(sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f11490,plain,
( ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| spl27_76 ),
inference(subsumption_resolution,[],[f11489,f448]) ).
fof(f448,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f11489,plain,
( v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_76 ),
inference(subsumption_resolution,[],[f11488,f438]) ).
fof(f438,plain,
v4_group_1(sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f11488,plain,
( ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| spl27_76 ),
inference(resolution,[],[f1900,f890]) ).
fof(f890,plain,
! [X0] :
( m1_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f417,f381]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,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(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
<=> m2_relset_1(X0,X1,X2) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f417,plain,
! [X0] :
( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) ) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> ( m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k10_group_4(X0))
& v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_group_4) ).
fof(f1900,plain,
( ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| spl27_76 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1898,plain,
( spl27_76
<=> m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
fof(f10889,plain,
( spl27_43
| spl27_7
| ~ spl27_10
| ~ spl27_32
| ~ spl27_422 ),
inference(avatar_split_clause,[],[f10888,f10738,f1083,f668,f554,f1183]) ).
fof(f1183,plain,
( spl27_43
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21)))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
fof(f554,plain,
( spl27_7
<=> v3_struct_0(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f668,plain,
( spl27_10
<=> l1_lattices(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f1083,plain,
( spl27_32
<=> v6_lattices(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
fof(f10738,plain,
( spl27_422
<=> m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_422])]) ).
fof(f10888,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21)))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0) )
| spl27_7
| ~ spl27_10
| ~ spl27_32
| ~ spl27_422 ),
inference(subsumption_resolution,[],[f10887,f555]) ).
fof(f555,plain,
( ~ v3_struct_0(k11_group_4(sK21))
| spl27_7 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f10887,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21)))
| v3_struct_0(k11_group_4(sK21))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0) )
| ~ spl27_10
| ~ spl27_32
| ~ spl27_422 ),
inference(subsumption_resolution,[],[f10886,f1084]) ).
fof(f1084,plain,
( v6_lattices(k11_group_4(sK21))
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f10886,plain,
( ! [X0] :
( ~ v6_lattices(k11_group_4(sK21))
| v3_struct_0(k11_group_4(sK21))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21))) )
| ~ spl27_10
| ~ spl27_422 ),
inference(subsumption_resolution,[],[f10862,f669]) ).
fof(f669,plain,
( l1_lattices(k11_group_4(sK21))
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f10862,plain,
( ! [X0] :
( ~ l1_lattices(k11_group_4(sK21))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21)))
| ~ v6_lattices(k11_group_4(sK21))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0)
| v3_struct_0(k11_group_4(sK21)) )
| ~ spl27_422 ),
inference(resolution,[],[f10739,f331]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2)
| k4_lattices(X2,X1,X0) = k2_lattices(X2,X1,X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( ~ v6_lattices(X2)
| k4_lattices(X2,X1,X0) = k2_lattices(X2,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_lattices(X2) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X0,X2,X1] :
( ~ v6_lattices(X1)
| k4_lattices(X1,X2,X0) = k2_lattices(X1,X2,X0)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X1,X2,X0] :
( k4_lattices(X1,X2,X0) = k2_lattices(X1,X2,X0)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
! [X1,X2,X0] :
( ( l1_lattices(X1)
& v6_lattices(X1)
& ~ v3_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X0,u1_struct_0(X1)) )
=> k4_lattices(X1,X2,X0) = k2_lattices(X1,X2,X0) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X2,X0,X1] :
( ( v6_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& ~ v3_struct_0(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f10739,plain,
( m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ spl27_422 ),
inference(avatar_component_clause,[],[f10738]) ).
fof(f10827,plain,
spl27_422,
inference(avatar_split_clause,[],[f441,f10738]) ).
fof(f441,plain,
m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21))),
inference(cnf_transformation,[],[f322]) ).
fof(f10776,plain,
( spl27_81
| ~ spl27_76
| ~ spl27_75
| ~ spl27_77
| ~ spl27_78
| ~ spl27_79
| ~ spl27_80 ),
inference(avatar_split_clause,[],[f10775,f1914,f1910,f1906,f1902,f1894,f1898,f1918]) ).
fof(f1918,plain,
( spl27_81
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| k1_group_3(sK21) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).
fof(f1894,plain,
( spl27_75
<=> m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
fof(f1902,plain,
( spl27_77
<=> v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).
fof(f1906,plain,
( spl27_78
<=> v1_funct_1(k9_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).
fof(f1910,plain,
( spl27_79
<=> v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).
fof(f1914,plain,
( spl27_80
<=> v1_funct_1(k10_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).
fof(f10775,plain,
( ! [X14,X12,X13] :
( ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k1_group_3(sK21) = X12
| g3_lattices(X12,X13,X14) != k11_group_4(sK21) )
| ~ spl27_75
| ~ spl27_77
| ~ spl27_78
| ~ spl27_79
| ~ spl27_80 ),
inference(subsumption_resolution,[],[f10774,f1903]) ).
fof(f1903,plain,
( v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ spl27_77 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f10774,plain,
( ! [X14,X12,X13] :
( ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k1_group_3(sK21) = X12
| g3_lattices(X12,X13,X14) != k11_group_4(sK21) )
| ~ spl27_75
| ~ spl27_78
| ~ spl27_79
| ~ spl27_80 ),
inference(subsumption_resolution,[],[f10773,f1911]) ).
fof(f1911,plain,
( v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ spl27_79 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f10773,plain,
( ! [X14,X12,X13] :
( g3_lattices(X12,X13,X14) != k11_group_4(sK21)
| ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k1_group_3(sK21) = X12
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) )
| ~ spl27_75
| ~ spl27_78
| ~ spl27_80 ),
inference(subsumption_resolution,[],[f10772,f1915]) ).
fof(f1915,plain,
( v1_funct_1(k10_group_4(sK21))
| ~ spl27_80 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f10772,plain,
( ! [X14,X12,X13] :
( ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_1(k10_group_4(sK21))
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| g3_lattices(X12,X13,X14) != k11_group_4(sK21)
| ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k1_group_3(sK21) = X12 )
| ~ spl27_75
| ~ spl27_78 ),
inference(subsumption_resolution,[],[f10771,f1907]) ).
fof(f1907,plain,
( v1_funct_1(k9_group_4(sK21))
| ~ spl27_78 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f10771,plain,
( ! [X14,X12,X13] :
( ~ v1_funct_1(k9_group_4(sK21))
| ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_1(k10_group_4(sK21))
| g3_lattices(X12,X13,X14) != k11_group_4(sK21)
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k1_group_3(sK21) = X12
| ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) )
| ~ spl27_75 ),
inference(subsumption_resolution,[],[f4365,f1895]) ).
fof(f1895,plain,
( m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ spl27_75 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f4365,plain,
! [X14,X12,X13] :
( k1_group_3(sK21) = X12
| ~ m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_1(k9_group_4(sK21))
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_1(k10_group_4(sK21))
| ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| g3_lattices(X12,X13,X14) != k11_group_4(sK21) ),
inference(superposition,[],[f333,f865]) ).
fof(f865,plain,
g3_lattices(k1_group_3(sK21),k9_group_4(sK21),k10_group_4(sK21)) = k11_group_4(sK21),
inference(subsumption_resolution,[],[f864,f439]) ).
fof(f864,plain,
( ~ v3_group_1(sK21)
| g3_lattices(k1_group_3(sK21),k9_group_4(sK21),k10_group_4(sK21)) = k11_group_4(sK21) ),
inference(subsumption_resolution,[],[f863,f438]) ).
fof(f863,plain,
( ~ v4_group_1(sK21)
| g3_lattices(k1_group_3(sK21),k9_group_4(sK21),k10_group_4(sK21)) = k11_group_4(sK21)
| ~ v3_group_1(sK21) ),
inference(subsumption_resolution,[],[f838,f448]) ).
fof(f838,plain,
( g3_lattices(k1_group_3(sK21),k9_group_4(sK21),k10_group_4(sK21)) = k11_group_4(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21) ),
inference(resolution,[],[f393,f437]) ).
fof(f393,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> k11_group_4(X0) = g3_lattices(k1_group_3(X0),k9_group_4(X0),k10_group_4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_group_4) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X4,X5,X3) != g3_lattices(X1,X2,X0)
| X1 = X4
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ! [X3,X4,X5] :
( g3_lattices(X4,X5,X3) != g3_lattices(X1,X2,X0)
| ( X0 = X3
& X2 = X5
& X1 = X4 ) ) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0,X2,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ! [X4,X5,X3] :
( g3_lattices(X2,X1,X0) != g3_lattices(X5,X3,X4)
| ( X0 = X4
& X1 = X3
& X2 = X5 ) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X1,X0,X2] :
( ! [X4,X5,X3] :
( g3_lattices(X2,X1,X0) != g3_lattices(X5,X3,X4)
| ( X0 = X4
& X1 = X3
& X2 = X5 ) )
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X1,X0,X2] :
( ( v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X1)
& m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
& m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X0)
& v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2) )
=> ! [X4,X3,X5] :
( g3_lattices(X2,X1,X0) = g3_lattices(X5,X3,X4)
=> ( X0 = X4
& X1 = X3
& X2 = X5 ) ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X2,X1,X0] :
( ( v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4,X5,X3] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f10714,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(avatar_contradiction_clause,[],[f10713]) ).
fof(f10713,plain,
( $false
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10712,f439]) ).
fof(f10712,plain,
( ~ v3_group_1(sK21)
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10711,f438]) ).
fof(f10711,plain,
( ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10710,f437]) ).
fof(f10710,plain,
( ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10709,f448]) ).
fof(f10709,plain,
( v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10707,f479]) ).
fof(f479,plain,
m1_group_2(sK24,sK21),
inference(definition_unfolding,[],[f447,f442]) ).
fof(f442,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f322]) ).
fof(f447,plain,
m1_group_2(sK22,sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f10707,plain,
( ~ m1_group_2(sK24,sK21)
| ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(resolution,[],[f10521,f482]) ).
fof(f482,plain,
m1_group_2(sK25,sK21),
inference(definition_unfolding,[],[f440,f443]) ).
fof(f443,plain,
sK23 = sK25,
inference(cnf_transformation,[],[f322]) ).
fof(f440,plain,
m1_group_2(sK23,sK21),
inference(cnf_transformation,[],[f322]) ).
fof(f10521,plain,
( ! [X1] :
( ~ m1_group_2(sK25,X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(sK24,X1) )
| spl27_1
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10518,f10504]) ).
fof(f10504,plain,
( ~ m1_group_2(sK24,sK25)
| spl27_1 ),
inference(subsumption_resolution,[],[f10503,f439]) ).
fof(f10503,plain,
( ~ v3_group_1(sK21)
| ~ m1_group_2(sK24,sK25)
| spl27_1 ),
inference(subsumption_resolution,[],[f10502,f438]) ).
fof(f10502,plain,
( ~ v4_group_1(sK21)
| ~ m1_group_2(sK24,sK25)
| ~ v3_group_1(sK21)
| spl27_1 ),
inference(subsumption_resolution,[],[f10501,f482]) ).
fof(f10501,plain,
( ~ m1_group_2(sK25,sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ m1_group_2(sK24,sK25)
| spl27_1 ),
inference(subsumption_resolution,[],[f10500,f448]) ).
fof(f10500,plain,
( v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| ~ m1_group_2(sK25,sK21)
| ~ v4_group_1(sK21)
| ~ m1_group_2(sK24,sK25)
| spl27_1 ),
inference(subsumption_resolution,[],[f10499,f437]) ).
fof(f10499,plain,
( ~ m1_group_2(sK24,sK25)
| ~ l1_group_1(sK21)
| ~ m1_group_2(sK25,sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| spl27_1 ),
inference(resolution,[],[f497,f360]) ).
fof(f360,plain,
! [X2,X0,X1] :
( m1_group_6(X2,X1,X0)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X0)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X1,X0)
| ~ m1_group_2(X2,X0) )
& ( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X1,X0) ) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X1,X0)
<=> m1_group_2(X2,X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X1,X0] :
( ! [X2] :
( m1_group_6(X2,X1,X0)
<=> m1_group_2(X2,X0) )
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ( l1_group_1(X1)
& m1_group_2(X0,X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( m1_group_6(X2,X1,X0)
<=> m1_group_2(X2,X0) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X1,X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f497,plain,
( ~ m1_group_6(sK24,sK21,sK25)
| spl27_1 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl27_1
<=> m1_group_6(sK24,sK21,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f10518,plain,
( ! [X1] :
( ~ v3_group_1(X1)
| ~ m1_group_2(sK25,X1)
| m1_group_2(sK24,sK25)
| ~ m1_group_2(sK24,X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1) )
| ~ spl27_2
| ~ spl27_81 ),
inference(resolution,[],[f10516,f354]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| m1_group_2(X1,X2)
| ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_group_2) ).
fof(f10516,plain,
( r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10515,f7436]) ).
fof(f7436,plain,
( m1_subset_1(sK25,k1_group_3(sK21))
| ~ spl27_81 ),
inference(backward_demodulation,[],[f444,f7398]) ).
fof(f7398,plain,
( u1_struct_0(k11_group_4(sK21)) = k1_group_3(sK21)
| ~ spl27_81 ),
inference(trivial_inequality_removal,[],[f7395]) ).
fof(f7395,plain,
( k11_group_4(sK21) != k11_group_4(sK21)
| u1_struct_0(k11_group_4(sK21)) = k1_group_3(sK21)
| ~ spl27_81 ),
inference(superposition,[],[f1919,f3127]) ).
fof(f3127,plain,
g3_lattices(u1_struct_0(k11_group_4(sK21)),u2_lattices(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21))) = k11_group_4(sK21),
inference(subsumption_resolution,[],[f3126,f439]) ).
fof(f3126,plain,
( g3_lattices(u1_struct_0(k11_group_4(sK21)),u2_lattices(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21))) = k11_group_4(sK21)
| ~ v3_group_1(sK21) ),
inference(subsumption_resolution,[],[f3125,f438]) ).
fof(f3125,plain,
( ~ v4_group_1(sK21)
| g3_lattices(u1_struct_0(k11_group_4(sK21)),u2_lattices(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21))) = k11_group_4(sK21)
| ~ v3_group_1(sK21) ),
inference(subsumption_resolution,[],[f3118,f448]) ).
fof(f3118,plain,
( g3_lattices(u1_struct_0(k11_group_4(sK21)),u2_lattices(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21))) = k11_group_4(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21) ),
inference(resolution,[],[f727,f437]) ).
fof(f727,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| k11_group_4(X0) = g3_lattices(u1_struct_0(k11_group_4(X0)),u2_lattices(k11_group_4(X0)),u1_lattices(k11_group_4(X0)))
| ~ v3_group_1(X0) ),
inference(subsumption_resolution,[],[f726,f456]) ).
fof(f456,plain,
! [X0] :
( l3_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& l3_lattices(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f726,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| k11_group_4(X0) = g3_lattices(u1_struct_0(k11_group_4(X0)),u2_lattices(k11_group_4(X0)),u1_lattices(k11_group_4(X0)))
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l3_lattices(k11_group_4(X0)) ),
inference(resolution,[],[f368,f348]) ).
fof(f348,plain,
! [X0] :
( v3_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ( v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v9_lattices(k11_group_4(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v9_lattices(k11_group_4(X0)) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v9_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v15_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_4) ).
fof(f368,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| k1_group_3(sK21) = X0 )
| ~ spl27_81 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f444,plain,
m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21))),
inference(cnf_transformation,[],[f322]) ).
fof(f10515,plain,
( r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_subset_1(sK25,k1_group_3(sK21))
| ~ spl27_2
| ~ spl27_81 ),
inference(forward_demodulation,[],[f10514,f7398]) ).
fof(f10514,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ spl27_2
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f10513,f7435]) ).
fof(f7435,plain,
( m1_subset_1(sK24,k1_group_3(sK21))
| ~ spl27_81 ),
inference(backward_demodulation,[],[f441,f7398]) ).
fof(f10513,plain,
( ~ m1_subset_1(sK24,k1_group_3(sK21))
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ spl27_2
| ~ spl27_81 ),
inference(forward_demodulation,[],[f10512,f7398]) ).
fof(f10512,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10511,f479]) ).
fof(f10511,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_group_2(sK24,sK21)
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10510,f437]) ).
fof(f10510,plain,
( ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ l1_group_1(sK21)
| ~ m1_group_2(sK24,sK21)
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10509,f439]) ).
fof(f10509,plain,
( r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ m1_group_2(sK24,sK21)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10508,f482]) ).
fof(f10508,plain,
( ~ m1_group_2(sK25,sK21)
| ~ m1_group_2(sK24,sK21)
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10507,f438]) ).
fof(f10507,plain,
( ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ m1_group_2(sK25,sK21)
| ~ m1_group_2(sK24,sK21)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ l1_group_1(sK21)
| ~ spl27_2 ),
inference(subsumption_resolution,[],[f10505,f448]) ).
fof(f10505,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| v3_struct_0(sK21)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ m1_group_2(sK24,sK21)
| ~ m1_group_2(sK25,sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| r1_tarski(u1_struct_0(sK24),u1_struct_0(sK25))
| ~ v3_group_1(sK21)
| ~ spl27_2 ),
inference(resolution,[],[f500,f486]) ).
fof(f486,plain,
! [X3,X0,X4] :
( ~ r3_lattices(k11_group_4(X0),X3,X4)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X3,X0)
| r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_group_2(X4,X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) ),
inference(equality_resolution,[],[f485]) ).
fof(f485,plain,
! [X2,X3,X0,X4] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| r1_tarski(u1_struct_0(X3),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f374]) ).
fof(f374,plain,
! [X2,X3,X0,X1,X4] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ m1_group_2(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ! [X4] :
( ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) ) ) ) )
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ m1_group_2(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ! [X4] :
( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> r3_lattices(k11_group_4(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) ) ) ) )
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> r3_lattices(k11_group_4(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> r3_lattices(k11_group_4(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_latsubgr) ).
fof(f500,plain,
( r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl27_2
<=> r3_lattices(k11_group_4(sK21),sK24,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f10498,plain,
( spl27_2
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_81
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f10497,f6605,f1918,f1101,f1097,f1090,f1083,f554,f499]) ).
fof(f1090,plain,
( spl27_34
<=> v9_lattices(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f1097,plain,
( spl27_36
<=> l3_lattices(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f1101,plain,
( spl27_37
<=> v8_lattices(k11_group_4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
fof(f6605,plain,
( spl27_248
<=> r1_lattices(k11_group_4(sK21),sK24,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_248])]) ).
fof(f10497,plain,
( r3_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_81
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10496,f7435]) ).
fof(f10496,plain,
( ~ m1_subset_1(sK24,k1_group_3(sK21))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_81
| ~ spl27_248 ),
inference(forward_demodulation,[],[f10495,f7398]) ).
fof(f10495,plain,
( ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_81
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10494,f7436]) ).
fof(f10494,plain,
( r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK25,k1_group_3(sK21))
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_81
| ~ spl27_248 ),
inference(forward_demodulation,[],[f10493,f7398]) ).
fof(f10493,plain,
( r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| spl27_7
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10485,f555]) ).
fof(f10485,plain,
( r3_lattices(k11_group_4(sK21),sK24,sK25)
| v3_struct_0(k11_group_4(sK21))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ spl27_32
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10484,f1084]) ).
fof(f10484,plain,
( ~ v6_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| v3_struct_0(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10483,f1098]) ).
fof(f1098,plain,
( l3_lattices(k11_group_4(sK21))
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f10483,plain,
( ~ l3_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| v3_struct_0(k11_group_4(sK21))
| ~ v6_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_34
| ~ spl27_37
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10482,f1102]) ).
fof(f1102,plain,
( v8_lattices(k11_group_4(sK21))
| ~ spl27_37 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f10482,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| ~ v8_lattices(k11_group_4(sK21))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ l3_lattices(k11_group_4(sK21))
| v3_struct_0(k11_group_4(sK21))
| ~ v6_lattices(k11_group_4(sK21))
| ~ spl27_34
| ~ spl27_248 ),
inference(subsumption_resolution,[],[f10471,f1091]) ).
fof(f1091,plain,
( v9_lattices(k11_group_4(sK21))
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f10471,plain,
( ~ v9_lattices(k11_group_4(sK21))
| ~ l3_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| r3_lattices(k11_group_4(sK21),sK24,sK25)
| v3_struct_0(k11_group_4(sK21))
| ~ v6_lattices(k11_group_4(sK21))
| ~ v8_lattices(k11_group_4(sK21))
| ~ spl27_248 ),
inference(resolution,[],[f6607,f337]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X1,X0,X2)
| ~ l3_lattices(X1)
| r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v8_lattices(X1)
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ~ v6_lattices(X1)
| ~ v9_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( ( r3_lattices(X1,X0,X2)
| ~ r1_lattices(X1,X0,X2) )
& ( r1_lattices(X1,X0,X2)
| ~ r3_lattices(X1,X0,X2) ) )
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v8_lattices(X1) ),
inference(rectify,[],[f247]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( r3_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X2,X1) )
& ( r1_lattices(X0,X2,X1)
| ~ r3_lattices(X0,X2,X1) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v8_lattices(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( r3_lattices(X0,X2,X1)
<=> r1_lattices(X0,X2,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v8_lattices(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X1,X2,X0] :
( ( r3_lattices(X0,X2,X1)
<=> r1_lattices(X0,X2,X1) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v9_lattices(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X1,X2,X0] :
( ( l3_lattices(X0)
& v8_lattices(X0)
& ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& v6_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& v9_lattices(X0) )
=> ( r3_lattices(X0,X2,X1)
<=> r1_lattices(X0,X2,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X0,X2,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v9_lattices(X0)
& v6_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& v8_lattices(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f6607,plain,
( r1_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_248 ),
inference(avatar_component_clause,[],[f6605]) ).
fof(f10469,plain,
( spl27_249
| ~ spl27_1
| spl27_7
| ~ spl27_10
| ~ spl27_43
| ~ spl27_81
| ~ spl27_83 ),
inference(avatar_split_clause,[],[f10466,f1932,f1918,f1183,f668,f554,f495,f6609]) ).
fof(f6609,plain,
( spl27_249
<=> k4_lattices(k11_group_4(sK21),sK24,sK25) = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_249])]) ).
fof(f1932,plain,
( spl27_83
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| k10_group_4(sK21) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).
fof(f10466,plain,
( k4_lattices(k11_group_4(sK21),sK24,sK25) = sK24
| ~ spl27_1
| spl27_7
| ~ spl27_10
| ~ spl27_43
| ~ spl27_81
| ~ spl27_83 ),
inference(forward_demodulation,[],[f8071,f8328]) ).
fof(f8328,plain,
( k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),sK24,sK25) = sK24
| ~ spl27_1
| ~ spl27_81 ),
inference(forward_demodulation,[],[f8327,f6787]) ).
fof(f6787,plain,
( k9_group_2(sK21,sK24,sK25) = sK24
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f6777,f1172]) ).
fof(f1172,plain,
v1_group_1(sK24),
inference(subsumption_resolution,[],[f1171,f479]) ).
fof(f1171,plain,
( ~ m1_group_2(sK24,sK21)
| v1_group_1(sK24) ),
inference(subsumption_resolution,[],[f1170,f437]) ).
fof(f1170,plain,
( ~ l1_group_1(sK21)
| ~ m1_group_2(sK24,sK21)
| v1_group_1(sK24) ),
inference(subsumption_resolution,[],[f1169,f448]) ).
fof(f1169,plain,
( v1_group_1(sK24)
| v3_struct_0(sK21)
| ~ m1_group_2(sK24,sK21)
| ~ l1_group_1(sK21) ),
inference(subsumption_resolution,[],[f1168,f439]) ).
fof(f1168,plain,
( v1_group_1(sK24)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ m1_group_2(sK24,sK21)
| ~ l1_group_1(sK21) ),
inference(subsumption_resolution,[],[f1164,f438]) ).
fof(f1164,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| v1_group_1(sK24)
| ~ m1_group_2(sK24,sK21)
| ~ l1_group_1(sK21) ),
inference(resolution,[],[f441,f484]) ).
fof(f484,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v1_group_1(X2) ),
inference(equality_resolution,[],[f355]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k11_group_4(X0)))
| X1 != X2
| ~ m1_group_2(X2,X0)
| v1_group_1(X2)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(k11_group_4(X0)))
| ! [X2] :
( X1 != X2
| ~ m1_group_2(X2,X0)
| ( m1_group_2(X2,X0)
& v1_group_1(X2) ) ) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| X1 != X2
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(X0))) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k11_group_4(X0)))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( X1 = X2
=> ( m1_group_2(X2,X0)
& v1_group_1(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_latsubgr) ).
fof(f6777,plain,
( ~ v1_group_1(sK24)
| k9_group_2(sK21,sK24,sK25) = sK24
| ~ spl27_1 ),
inference(resolution,[],[f3786,f1730]) ).
fof(f1730,plain,
( m1_group_2(sK24,sK25)
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f1729,f437]) ).
fof(f1729,plain,
( m1_group_2(sK24,sK25)
| ~ l1_group_1(sK21)
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f1728,f448]) ).
fof(f1728,plain,
( v3_struct_0(sK21)
| m1_group_2(sK24,sK25)
| ~ l1_group_1(sK21)
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f1727,f438]) ).
fof(f1727,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| m1_group_2(sK24,sK25)
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f1726,f482]) ).
fof(f1726,plain,
( ~ m1_group_2(sK25,sK21)
| ~ v4_group_1(sK21)
| m1_group_2(sK24,sK25)
| ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| ~ spl27_1 ),
inference(subsumption_resolution,[],[f1725,f439]) ).
fof(f1725,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ m1_group_2(sK25,sK21)
| v3_struct_0(sK21)
| m1_group_2(sK24,sK25)
| ~ l1_group_1(sK21)
| ~ spl27_1 ),
inference(resolution,[],[f496,f359]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X1,X0)
| ~ l1_group_1(X1)
| m1_group_2(X2,X0)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f496,plain,
( m1_group_6(sK24,sK21,sK25)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f3786,plain,
! [X36] :
( ~ m1_group_2(X36,sK25)
| k9_group_2(sK21,X36,sK25) = X36
| ~ v1_group_1(X36) ),
inference(subsumption_resolution,[],[f3785,f437]) ).
fof(f3785,plain,
! [X36] :
( ~ v1_group_1(X36)
| ~ l1_group_1(sK21)
| k9_group_2(sK21,X36,sK25) = X36
| ~ m1_group_2(X36,sK25) ),
inference(subsumption_resolution,[],[f3784,f448]) ).
fof(f3784,plain,
! [X36] :
( ~ m1_group_2(X36,sK25)
| ~ v1_group_1(X36)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| k9_group_2(sK21,X36,sK25) = X36 ),
inference(subsumption_resolution,[],[f3783,f438]) ).
fof(f3783,plain,
! [X36] :
( ~ v1_group_1(X36)
| ~ m1_group_2(X36,sK25)
| k9_group_2(sK21,X36,sK25) = X36
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21) ),
inference(subsumption_resolution,[],[f3765,f439]) ).
fof(f3765,plain,
! [X36] :
( k9_group_2(sK21,X36,sK25) = X36
| ~ v3_group_1(sK21)
| ~ v1_group_1(X36)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| ~ m1_group_2(X36,sK25) ),
inference(resolution,[],[f3740,f482]) ).
fof(f3740,plain,
! [X8,X6,X7] :
( ~ m1_group_2(X7,X8)
| k9_group_2(X8,X6,X7) = X6
| ~ m1_group_2(X6,X7)
| ~ v1_group_1(X6)
| ~ v4_group_1(X8)
| ~ l1_group_1(X8)
| v3_struct_0(X8)
| ~ v3_group_1(X8) ),
inference(subsumption_resolution,[],[f1530,f937]) ).
fof(f937,plain,
! [X2,X3,X4] :
( ~ m1_group_2(X4,X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| m1_group_2(X3,X2)
| ~ m1_group_2(X3,X4) ),
inference(duplicate_literal_removal,[],[f935]) ).
fof(f935,plain,
! [X2,X3,X4] :
( ~ m1_group_2(X4,X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| m1_group_2(X3,X2)
| ~ m1_group_2(X4,X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X3,X4)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(resolution,[],[f475,f360]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ m1_group_6(X2,X0,X1)
| ~ v4_group_1(X0)
| m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X1,X0] :
( ! [X2] :
( m1_group_2(X2,X0)
| ~ m1_group_6(X2,X0,X1) )
| ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( ( v4_group_1(X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
=> m1_group_2(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_6) ).
fof(f1530,plain,
! [X8,X6,X7] :
( k9_group_2(X8,X6,X7) = X6
| ~ v3_group_1(X8)
| ~ v4_group_1(X8)
| ~ m1_group_2(X7,X8)
| ~ m1_group_2(X6,X8)
| ~ l1_group_1(X8)
| ~ m1_group_2(X6,X7)
| ~ v1_group_1(X6)
| v3_struct_0(X8) ),
inference(subsumption_resolution,[],[f1529,f427]) ).
fof(f427,plain,
! [X2,X0,X1] :
( v1_group_1(k9_group_2(X0,X2,X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ( v1_group_1(k9_group_2(X0,X2,X1))
& m1_group_2(k9_group_2(X0,X2,X1),X0) )
| ~ v4_group_1(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X0,X2)
| ( v1_group_1(k9_group_2(X2,X1,X0))
& m1_group_2(k9_group_2(X2,X1,X0),X2) )
| ~ v4_group_1(X2) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X2,X1] :
( ( v1_group_1(k9_group_2(X2,X1,X0))
& m1_group_2(k9_group_2(X2,X1,X0),X2) )
| ~ v4_group_1(X2)
| ~ m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X2,X1] :
( ( v4_group_1(X2)
& m1_group_2(X0,X2)
& m1_group_2(X1,X2)
& ~ v3_struct_0(X2)
& l1_group_1(X2)
& v3_group_1(X2) )
=> ( v1_group_1(k9_group_2(X2,X1,X0))
& m1_group_2(k9_group_2(X2,X1,X0),X2) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X2,X1,X0] :
( ( v4_group_1(X0)
& m1_group_2(X1,X0)
& v3_group_1(X0)
& m1_group_2(X2,X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k9_group_2(X0,X1,X2))
& m1_group_2(k9_group_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_group_2) ).
fof(f1529,plain,
! [X8,X6,X7] :
( ~ v3_group_1(X8)
| ~ m1_group_2(X6,X7)
| ~ v1_group_1(X6)
| ~ v1_group_1(k9_group_2(X8,X6,X7))
| ~ l1_group_1(X8)
| ~ m1_group_2(X7,X8)
| k9_group_2(X8,X6,X7) = X6
| ~ m1_group_2(X6,X8)
| ~ v4_group_1(X8)
| v3_struct_0(X8) ),
inference(subsumption_resolution,[],[f1524,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( m1_group_2(k9_group_2(X0,X2,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1524,plain,
! [X8,X6,X7] :
( ~ v3_group_1(X8)
| k9_group_2(X8,X6,X7) = X6
| ~ m1_group_2(X6,X7)
| ~ m1_group_2(X7,X8)
| ~ v4_group_1(X8)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X8)
| ~ m1_group_2(k9_group_2(X8,X6,X7),X8)
| ~ l1_group_1(X8)
| ~ v1_group_1(k9_group_2(X8,X6,X7))
| v3_struct_0(X8) ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
! [X8,X6,X7] :
( ~ v1_group_1(k9_group_2(X8,X6,X7))
| ~ m1_group_2(k9_group_2(X8,X6,X7),X8)
| ~ l1_group_1(X8)
| ~ v3_group_1(X8)
| ~ m1_group_2(X6,X7)
| ~ v3_group_1(X8)
| ~ v4_group_1(X8)
| ~ v4_group_1(X8)
| k9_group_2(X8,X6,X7) = X6
| ~ m1_group_2(X6,X8)
| v3_struct_0(X8)
| ~ l1_group_1(X8)
| ~ m1_group_2(X7,X8)
| ~ v1_group_1(X6)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X8)
| v3_struct_0(X8) ),
inference(resolution,[],[f450,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X2,X1)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| X1 = X2
| ~ v1_group_1(X2)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ~ v1_group_1(X2)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ( ( r1_group_2(X0,X2,X1)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X2,X1) ) )
| ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X1) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X2,X1,X0] :
( ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ( ( r1_group_2(X2,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ r1_group_2(X2,X0,X1) ) )
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ m1_group_2(X0,X2)
| v3_struct_0(X2)
| ~ v1_group_1(X1) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X2,X1,X0] :
( ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ( r1_group_2(X2,X0,X1)
<=> X0 = X1 )
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ m1_group_2(X0,X2)
| v3_struct_0(X2)
| ~ v1_group_1(X1) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X2,X1,X0] :
( ( r1_group_2(X2,X0,X1)
<=> X0 = X1 )
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X2,X1,X0] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v1_group_1(X0)
& m1_group_2(X0,X2)
& m1_group_2(X1,X2)
& v4_group_1(X2)
& l1_group_1(X2)
& v1_group_1(X1) )
=> ( r1_group_2(X2,X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X1,X2,X0] :
( ( m1_group_2(X1,X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& m1_group_2(X2,X0)
& v4_group_1(X0)
& v1_group_1(X2)
& v1_group_1(X1)
& v3_group_1(X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f450,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ! [X2] :
( ~ m1_group_2(X2,X0)
| ( ( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ r1_group_2(X0,k9_group_2(X0,X2,X1),X2) ) )
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ! [X2] :
( ~ m1_group_2(X2,X0)
| ( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
<=> m1_group_2(X2,X1) )
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
<=> m1_group_2(X2,X1) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( r1_group_2(X0,k9_group_2(X0,X2,X1),X2)
<=> m1_group_2(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_group_2) ).
fof(f8327,plain,
( k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),sK24,sK25) = k9_group_2(sK21,sK24,sK25)
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f8306,f479]) ).
fof(f8306,plain,
( k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),sK24,sK25) = k9_group_2(sK21,sK24,sK25)
| ~ m1_group_2(sK24,sK21)
| ~ spl27_81 ),
inference(resolution,[],[f7737,f7435]) ).
fof(f7737,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k1_group_3(sK21))
| ~ m1_group_2(X2,sK21)
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25) )
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f7736,f437]) ).
fof(f7736,plain,
( ! [X2] :
( ~ m1_group_2(X2,sK21)
| ~ m1_subset_1(X2,k1_group_3(sK21))
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25)
| ~ l1_group_1(sK21) )
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f7735,f448]) ).
fof(f7735,plain,
( ! [X2] :
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25)
| ~ m1_group_2(X2,sK21)
| ~ m1_subset_1(X2,k1_group_3(sK21)) )
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f7734,f482]) ).
fof(f7734,plain,
( ! [X2] :
( ~ m1_group_2(X2,sK21)
| ~ m1_subset_1(X2,k1_group_3(sK21))
| ~ m1_group_2(sK25,sK21)
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25)
| ~ l1_group_1(sK21)
| v3_struct_0(sK21) )
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f7733,f439]) ).
fof(f7733,plain,
( ! [X2] :
( ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ m1_group_2(X2,sK21)
| ~ m1_group_2(sK25,sK21)
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25)
| ~ m1_subset_1(X2,k1_group_3(sK21))
| ~ l1_group_1(sK21) )
| ~ spl27_81 ),
inference(subsumption_resolution,[],[f7725,f438]) ).
fof(f7725,plain,
( ! [X2] :
( ~ v4_group_1(sK21)
| ~ m1_subset_1(X2,k1_group_3(sK21))
| ~ m1_group_2(X2,sK21)
| k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X2,sK25) = k9_group_2(sK21,X2,sK25)
| ~ l1_group_1(sK21)
| ~ m1_group_2(sK25,sK21)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21) )
| ~ spl27_81 ),
inference(resolution,[],[f7436,f1947]) ).
fof(f1947,plain,
! [X0,X4,X5] :
( ~ m1_subset_1(X5,k1_group_3(X0))
| ~ m1_group_2(X5,X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X4,k1_group_3(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),k10_group_4(X0),X4,X5)
| ~ m1_group_2(X4,X0) ),
inference(subsumption_resolution,[],[f1946,f415]) ).
fof(f415,plain,
! [X0] :
( v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1946,plain,
! [X0,X4,X5] :
( ~ v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m1_group_2(X4,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X4,k1_group_3(X0))
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),k10_group_4(X0),X4,X5)
| ~ m1_group_2(X5,X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X5,k1_group_3(X0)) ),
inference(subsumption_resolution,[],[f1945,f416]) ).
fof(f416,plain,
! [X0] :
( v1_funct_1(k10_group_4(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1945,plain,
! [X0,X4,X5] :
( ~ m1_subset_1(X5,k1_group_3(X0))
| ~ m1_subset_1(X4,k1_group_3(X0))
| ~ v1_funct_1(k10_group_4(X0))
| ~ v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m1_group_2(X5,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),k10_group_4(X0),X4,X5)
| ~ m1_group_2(X4,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f492,f417]) ).
fof(f492,plain,
! [X0,X4,X5] :
( ~ m1_subset_1(X5,k1_group_3(X0))
| ~ v4_group_1(X0)
| ~ m2_relset_1(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m1_subset_1(X4,k1_group_3(X0))
| ~ m1_group_2(X5,X0)
| ~ m1_group_2(X4,X0)
| ~ v1_funct_1(k10_group_4(X0))
| ~ v1_funct_2(k10_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),k10_group_4(X0),X4,X5)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f491]) ).
fof(f491,plain,
! [X0,X1,X4,X5] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X4,k1_group_3(X0))
| ~ m1_subset_1(X5,k1_group_3(X0))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X5,X0)
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X4,X5)
| k10_group_4(X0) != X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f490]) ).
fof(f490,plain,
! [X2,X0,X1,X4,X5] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,k1_group_3(X0))
| ~ m1_subset_1(X5,k1_group_3(X0))
| ~ m1_group_2(X4,X0)
| X2 != X4
| ~ m1_group_2(X5,X0)
| k9_group_2(X0,X4,X5) = k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X5)
| k10_group_4(X0) != X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,k1_group_3(X0))
| ~ m1_subset_1(X3,k1_group_3(X0))
| ~ m1_group_2(X4,X0)
| X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0)
| k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5)
| k10_group_4(X0) != X1
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ m1_subset_1(X2,k1_group_3(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_group_3(X0))
| ! [X4] :
( ~ m1_group_2(X4,X0)
| ! [X5] :
( X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0)
| k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) )
| k10_group_4(X0) != X1 )
& ( k10_group_4(X0) = X1
| ( m1_subset_1(sK9(X0,X1),k1_group_3(X0))
& m1_subset_1(sK10(X0,X1),k1_group_3(X0))
& m1_group_2(sK11(X0,X1),X0)
& sK10(X0,X1) = sK12(X0,X1)
& sK9(X0,X1) = sK11(X0,X1)
& m1_group_2(sK12(X0,X1),X0)
& k9_group_2(X0,sK11(X0,X1),sK12(X0,X1)) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) ) ) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f286,f290,f289,f288,f287]) ).
fof(f287,plain,
! [X0,X1] :
( ? [X6] :
( m1_subset_1(X6,k1_group_3(X0))
& ? [X7] :
( m1_subset_1(X7,k1_group_3(X0))
& ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( X7 = X9
& X6 = X8
& m1_group_2(X9,X0)
& k9_group_2(X0,X8,X9) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X7) ) ) ) )
=> ( m1_subset_1(sK9(X0,X1),k1_group_3(X0))
& ? [X7] :
( m1_subset_1(X7,k1_group_3(X0))
& ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( X7 = X9
& sK9(X0,X1) = X8
& m1_group_2(X9,X0)
& k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),X7) != k9_group_2(X0,X8,X9) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f288,plain,
! [X0,X1] :
( ? [X7] :
( m1_subset_1(X7,k1_group_3(X0))
& ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( X7 = X9
& sK9(X0,X1) = X8
& m1_group_2(X9,X0)
& k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),X7) != k9_group_2(X0,X8,X9) ) ) )
=> ( m1_subset_1(sK10(X0,X1),k1_group_3(X0))
& ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( sK10(X0,X1) = X9
& sK9(X0,X1) = X8
& m1_group_2(X9,X0)
& k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) != k9_group_2(X0,X8,X9) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0,X1] :
( ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( sK10(X0,X1) = X9
& sK9(X0,X1) = X8
& m1_group_2(X9,X0)
& k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) != k9_group_2(X0,X8,X9) ) )
=> ( m1_group_2(sK11(X0,X1),X0)
& ? [X9] :
( sK10(X0,X1) = X9
& sK9(X0,X1) = sK11(X0,X1)
& m1_group_2(X9,X0)
& k9_group_2(X0,sK11(X0,X1),X9) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0,X1] :
( ? [X9] :
( sK10(X0,X1) = X9
& sK9(X0,X1) = sK11(X0,X1)
& m1_group_2(X9,X0)
& k9_group_2(X0,sK11(X0,X1),X9) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) )
=> ( sK10(X0,X1) = sK12(X0,X1)
& sK9(X0,X1) = sK11(X0,X1)
& m1_group_2(sK12(X0,X1),X0)
& k9_group_2(X0,sK11(X0,X1),sK12(X0,X1)) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,sK9(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ m1_subset_1(X2,k1_group_3(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_group_3(X0))
| ! [X4] :
( ~ m1_group_2(X4,X0)
| ! [X5] :
( X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0)
| k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) )
| k10_group_4(X0) != X1 )
& ( k10_group_4(X0) = X1
| ? [X6] :
( m1_subset_1(X6,k1_group_3(X0))
& ? [X7] :
( m1_subset_1(X7,k1_group_3(X0))
& ? [X8] :
( m1_group_2(X8,X0)
& ? [X9] :
( X7 = X9
& X6 = X8
& m1_group_2(X9,X0)
& k9_group_2(X0,X8,X9) != k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X6,X7) ) ) ) ) ) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ m1_subset_1(X2,k1_group_3(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_group_3(X0))
| ! [X4] :
( ~ m1_group_2(X4,X0)
| ! [X5] :
( X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0)
| k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) )
| k10_group_4(X0) != X1 )
& ( k10_group_4(X0) = X1
| ? [X2] :
( m1_subset_1(X2,k1_group_3(X0))
& ? [X3] :
( m1_subset_1(X3,k1_group_3(X0))
& ? [X4] :
( m1_group_2(X4,X0)
& ? [X5] :
( X3 = X5
& X2 = X4
& m1_group_2(X5,X0)
& k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) != k9_group_2(X0,X4,X5) ) ) ) ) ) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ( ! [X2] :
( ~ m1_subset_1(X2,k1_group_3(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_group_3(X0))
| ! [X4] :
( ~ m1_group_2(X4,X0)
| ! [X5] :
( X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0)
| k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) )
<=> k10_group_4(X0) = X1 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( k10_group_4(X0) = X1
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5)
| X3 != X5
| X2 != X4
| ~ m1_group_2(X5,X0) )
| ~ m1_group_2(X4,X0) )
| ~ m1_subset_1(X3,k1_group_3(X0)) )
| ~ m1_subset_1(X2,k1_group_3(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& m2_relset_1(X1,k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0)) )
=> ( k10_group_4(X0) = X1
<=> ! [X2] :
( m1_subset_1(X2,k1_group_3(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_group_3(X0))
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X0)
=> ( ( X3 = X5
& X2 = X4 )
=> k2_binop_1(k1_group_3(X0),k1_group_3(X0),k1_group_3(X0),X1,X2,X3) = k9_group_2(X0,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_group_4) ).
fof(f8071,plain,
( k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),sK24,sK25) = k4_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_10
| ~ spl27_43
| ~ spl27_81
| ~ spl27_83 ),
inference(forward_demodulation,[],[f8058,f2222]) ).
fof(f2222,plain,
( k2_lattices(k11_group_4(sK21),sK24,sK25) = k4_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_43 ),
inference(resolution,[],[f1184,f444]) ).
fof(f1184,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK21)))
| k4_lattices(k11_group_4(sK21),sK24,X0) = k2_lattices(k11_group_4(sK21),sK24,X0) )
| ~ spl27_43 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f8058,plain,
( k2_lattices(k11_group_4(sK21),sK24,sK25) = k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_10
| ~ spl27_81
| ~ spl27_83 ),
inference(resolution,[],[f7919,f7435]) ).
fof(f7919,plain,
( ! [X19] :
( ~ m1_subset_1(X19,k1_group_3(sK21))
| k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),k10_group_4(sK21),X19,sK25) )
| spl27_7
| ~ spl27_10
| ~ spl27_81
| ~ spl27_83 ),
inference(backward_demodulation,[],[f7572,f7399]) ).
fof(f7399,plain,
( k10_group_4(sK21) = u1_lattices(k11_group_4(sK21))
| ~ spl27_83 ),
inference(trivial_inequality_removal,[],[f7397]) ).
fof(f7397,plain,
( k11_group_4(sK21) != k11_group_4(sK21)
| k10_group_4(sK21) = u1_lattices(k11_group_4(sK21))
| ~ spl27_83 ),
inference(superposition,[],[f1933,f3127]) ).
fof(f1933,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| k10_group_4(sK21) = X2 )
| ~ spl27_83 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f7572,plain,
( ! [X19] :
( ~ m1_subset_1(X19,k1_group_3(sK21))
| k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(k1_group_3(sK21),k1_group_3(sK21),k1_group_3(sK21),u1_lattices(k11_group_4(sK21)),X19,sK25) )
| spl27_7
| ~ spl27_10
| ~ spl27_81 ),
inference(forward_demodulation,[],[f7450,f7398]) ).
fof(f7450,plain,
( ! [X19] :
( k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21)),X19,sK25)
| ~ m1_subset_1(X19,k1_group_3(sK21)) )
| spl27_7
| ~ spl27_10
| ~ spl27_81 ),
inference(backward_demodulation,[],[f1545,f7398]) ).
fof(f1545,plain,
( ! [X19] :
( ~ m1_subset_1(X19,u1_struct_0(k11_group_4(sK21)))
| k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21)),X19,sK25) )
| spl27_7
| ~ spl27_10 ),
inference(subsumption_resolution,[],[f1544,f669]) ).
fof(f1544,plain,
( ! [X19] :
( k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21)),X19,sK25)
| ~ m1_subset_1(X19,u1_struct_0(k11_group_4(sK21)))
| ~ l1_lattices(k11_group_4(sK21)) )
| spl27_7 ),
inference(subsumption_resolution,[],[f1539,f555]) ).
fof(f1539,plain,
! [X19] :
( k2_lattices(k11_group_4(sK21),X19,sK25) = k2_binop_1(u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_struct_0(k11_group_4(sK21)),u1_lattices(k11_group_4(sK21)),X19,sK25)
| ~ m1_subset_1(X19,u1_struct_0(k11_group_4(sK21)))
| v3_struct_0(k11_group_4(sK21))
| ~ l1_lattices(k11_group_4(sK21)) ),
inference(resolution,[],[f474,f444]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
fof(f6612,plain,
( spl27_248
| ~ spl27_249
| spl27_7
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_43 ),
inference(avatar_split_clause,[],[f6603,f1183,f1101,f1097,f1090,f554,f6609,f6605]) ).
fof(f6603,plain,
( k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6602,f444]) ).
fof(f6602,plain,
( ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| spl27_7
| ~ spl27_34
| ~ spl27_36
| ~ spl27_37
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6601,f1091]) ).
fof(f6601,plain,
( k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| ~ v9_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| spl27_7
| ~ spl27_36
| ~ spl27_37
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6600,f555]) ).
fof(f6600,plain,
( k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| v3_struct_0(k11_group_4(sK21))
| ~ v9_lattices(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| ~ spl27_36
| ~ spl27_37
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6599,f1102]) ).
fof(f6599,plain,
( ~ v8_lattices(k11_group_4(sK21))
| ~ v9_lattices(k11_group_4(sK21))
| v3_struct_0(k11_group_4(sK21))
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| ~ spl27_36
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6598,f1098]) ).
fof(f6598,plain,
( ~ l3_lattices(k11_group_4(sK21))
| v3_struct_0(k11_group_4(sK21))
| k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ v9_lattices(k11_group_4(sK21))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| ~ v8_lattices(k11_group_4(sK21))
| ~ spl27_43 ),
inference(subsumption_resolution,[],[f6596,f441]) ).
fof(f6596,plain,
( ~ m1_subset_1(sK24,u1_struct_0(k11_group_4(sK21)))
| k4_lattices(k11_group_4(sK21),sK24,sK25) != sK24
| v3_struct_0(k11_group_4(sK21))
| ~ v9_lattices(k11_group_4(sK21))
| r1_lattices(k11_group_4(sK21),sK24,sK25)
| ~ m1_subset_1(sK25,u1_struct_0(k11_group_4(sK21)))
| ~ l3_lattices(k11_group_4(sK21))
| ~ v8_lattices(k11_group_4(sK21))
| ~ spl27_43 ),
inference(superposition,[],[f351,f2222]) ).
fof(f351,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) != X1
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v8_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( ( k2_lattices(X0,X1,X2) = X1
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| k2_lattices(X0,X1,X2) != X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( k2_lattices(X0,X1,X2) = X1
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( k2_lattices(X0,X1,X2) = X1
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| v3_struct_0(X0)
| ~ v8_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( l3_lattices(X0)
& v9_lattices(X0)
& ~ v3_struct_0(X0)
& v8_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_lattices(X0,X1,X2) = X1
<=> r1_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_lattices) ).
fof(f5662,plain,
spl27_78,
inference(avatar_contradiction_clause,[],[f5661]) ).
fof(f5661,plain,
( $false
| spl27_78 ),
inference(subsumption_resolution,[],[f5660,f438]) ).
fof(f5660,plain,
( ~ v4_group_1(sK21)
| spl27_78 ),
inference(subsumption_resolution,[],[f5659,f448]) ).
fof(f5659,plain,
( v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| spl27_78 ),
inference(subsumption_resolution,[],[f5658,f439]) ).
fof(f5658,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_78 ),
inference(subsumption_resolution,[],[f5657,f437]) ).
fof(f5657,plain,
( ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_78 ),
inference(resolution,[],[f1908,f383]) ).
fof(f383,plain,
! [X0] :
( v1_funct_1(k9_group_4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( v3_struct_0(X0)
| ( v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ( v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ( v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
& v1_funct_1(k9_group_4(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_group_4) ).
fof(f1908,plain,
( ~ v1_funct_1(k9_group_4(sK21))
| spl27_78 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f5655,plain,
spl27_77,
inference(avatar_contradiction_clause,[],[f5654]) ).
fof(f5654,plain,
( $false
| spl27_77 ),
inference(subsumption_resolution,[],[f5653,f448]) ).
fof(f5653,plain,
( v3_struct_0(sK21)
| spl27_77 ),
inference(subsumption_resolution,[],[f5652,f439]) ).
fof(f5652,plain,
( ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| spl27_77 ),
inference(subsumption_resolution,[],[f5651,f438]) ).
fof(f5651,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| spl27_77 ),
inference(subsumption_resolution,[],[f5650,f437]) ).
fof(f5650,plain,
( ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| spl27_77 ),
inference(resolution,[],[f1904,f385]) ).
fof(f385,plain,
! [X0] :
( v1_funct_2(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1904,plain,
( ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| spl27_77 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f4372,plain,
( ~ spl27_77
| ~ spl27_78
| ~ spl27_75
| spl27_83
| ~ spl27_80
| ~ spl27_79
| ~ spl27_76 ),
inference(avatar_split_clause,[],[f4371,f1898,f1910,f1914,f1932,f1894,f1906,f1902]) ).
fof(f4371,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_1(k10_group_4(sK21))
| g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| ~ m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| k10_group_4(sK21) = X2
| ~ v1_funct_1(k9_group_4(sK21))
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) )
| ~ spl27_76 ),
inference(subsumption_resolution,[],[f4361,f1899]) ).
fof(f1899,plain,
( m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ spl27_76 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f4361,plain,
! [X2,X0,X1] :
( k10_group_4(sK21) = X2
| ~ v1_funct_1(k10_group_4(sK21))
| g3_lattices(X0,X1,X2) != k11_group_4(sK21)
| ~ v1_funct_1(k9_group_4(sK21))
| ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ m1_relset_1(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| ~ v1_funct_2(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21)) ),
inference(superposition,[],[f335,f865]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X4,X5,X3) != g3_lattices(X1,X2,X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| X0 = X3
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f4308,plain,
spl27_80,
inference(avatar_contradiction_clause,[],[f4307]) ).
fof(f4307,plain,
( $false
| spl27_80 ),
inference(subsumption_resolution,[],[f4306,f437]) ).
fof(f4306,plain,
( ~ l1_group_1(sK21)
| spl27_80 ),
inference(subsumption_resolution,[],[f4305,f439]) ).
fof(f4305,plain,
( ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_80 ),
inference(subsumption_resolution,[],[f4304,f438]) ).
fof(f4304,plain,
( ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_80 ),
inference(subsumption_resolution,[],[f4303,f448]) ).
fof(f4303,plain,
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| spl27_80 ),
inference(resolution,[],[f1916,f416]) ).
fof(f1916,plain,
( ~ v1_funct_1(k10_group_4(sK21))
| spl27_80 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f4167,plain,
spl27_79,
inference(avatar_contradiction_clause,[],[f4166]) ).
fof(f4166,plain,
( $false
| spl27_79 ),
inference(subsumption_resolution,[],[f4165,f437]) ).
fof(f4165,plain,
( ~ l1_group_1(sK21)
| spl27_79 ),
inference(subsumption_resolution,[],[f4164,f438]) ).
fof(f4164,plain,
( ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_79 ),
inference(subsumption_resolution,[],[f4163,f448]) ).
fof(f4163,plain,
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| spl27_79 ),
inference(subsumption_resolution,[],[f4162,f439]) ).
fof(f4162,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| spl27_79 ),
inference(resolution,[],[f1912,f415]) ).
fof(f1912,plain,
( ~ v1_funct_2(k10_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| spl27_79 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f2604,plain,
spl27_75,
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2603,plain,
( $false
| spl27_75 ),
inference(subsumption_resolution,[],[f2602,f448]) ).
fof(f2602,plain,
( v3_struct_0(sK21)
| spl27_75 ),
inference(subsumption_resolution,[],[f2601,f438]) ).
fof(f2601,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_75 ),
inference(subsumption_resolution,[],[f2600,f437]) ).
fof(f2600,plain,
( ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_75 ),
inference(subsumption_resolution,[],[f2598,f439]) ).
fof(f2598,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| spl27_75 ),
inference(resolution,[],[f816,f1896]) ).
fof(f1896,plain,
( ~ m1_relset_1(k9_group_4(sK21),k2_zfmisc_1(k1_group_3(sK21),k1_group_3(sK21)),k1_group_3(sK21))
| spl27_75 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f816,plain,
! [X0] :
( m1_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f384,f381]) ).
fof(f384,plain,
! [X0] :
( m2_relset_1(k9_group_4(X0),k2_zfmisc_1(k1_group_3(X0),k1_group_3(X0)),k1_group_3(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1200,plain,
~ spl27_7,
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| ~ spl27_7 ),
inference(subsumption_resolution,[],[f1198,f438]) ).
fof(f1198,plain,
( ~ v4_group_1(sK21)
| ~ spl27_7 ),
inference(subsumption_resolution,[],[f1197,f437]) ).
fof(f1197,plain,
( ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ spl27_7 ),
inference(subsumption_resolution,[],[f1196,f439]) ).
fof(f1196,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl27_7 ),
inference(subsumption_resolution,[],[f1195,f448]) ).
fof(f1195,plain,
( v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ spl27_7 ),
inference(resolution,[],[f556,f346]) ).
fof(f346,plain,
! [X0] :
( ~ v3_struct_0(k11_group_4(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f556,plain,
( v3_struct_0(k11_group_4(sK21))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f1194,plain,
spl27_37,
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| spl27_37 ),
inference(subsumption_resolution,[],[f1192,f448]) ).
fof(f1192,plain,
( v3_struct_0(sK21)
| spl27_37 ),
inference(subsumption_resolution,[],[f1191,f437]) ).
fof(f1191,plain,
( ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| spl27_37 ),
inference(subsumption_resolution,[],[f1190,f438]) ).
fof(f1190,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| spl27_37 ),
inference(subsumption_resolution,[],[f1189,f439]) ).
fof(f1189,plain,
( ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_37 ),
inference(resolution,[],[f1103,f349]) ).
fof(f349,plain,
! [X0] :
( v8_lattices(k11_group_4(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1103,plain,
( ~ v8_lattices(k11_group_4(sK21))
| spl27_37 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1143,plain,
( spl27_10
| ~ spl27_36 ),
inference(avatar_split_clause,[],[f1133,f1097,f668]) ).
fof(f1133,plain,
( l1_lattices(k11_group_4(sK21))
| ~ spl27_36 ),
inference(resolution,[],[f1098,f476]) ).
fof(f476,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f1131,plain,
spl27_36,
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| spl27_36 ),
inference(subsumption_resolution,[],[f1129,f448]) ).
fof(f1129,plain,
( v3_struct_0(sK21)
| spl27_36 ),
inference(subsumption_resolution,[],[f1128,f438]) ).
fof(f1128,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_36 ),
inference(subsumption_resolution,[],[f1127,f437]) ).
fof(f1127,plain,
( ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| spl27_36 ),
inference(subsumption_resolution,[],[f1126,f439]) ).
fof(f1126,plain,
( ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| spl27_36 ),
inference(resolution,[],[f1099,f456]) ).
fof(f1099,plain,
( ~ l3_lattices(k11_group_4(sK21))
| spl27_36 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1116,plain,
spl27_34,
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| spl27_34 ),
inference(subsumption_resolution,[],[f1114,f437]) ).
fof(f1114,plain,
( ~ l1_group_1(sK21)
| spl27_34 ),
inference(subsumption_resolution,[],[f1113,f448]) ).
fof(f1113,plain,
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| spl27_34 ),
inference(subsumption_resolution,[],[f1112,f439]) ).
fof(f1112,plain,
( ~ v3_group_1(sK21)
| v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| spl27_34 ),
inference(subsumption_resolution,[],[f1111,f438]) ).
fof(f1111,plain,
( ~ v4_group_1(sK21)
| v3_struct_0(sK21)
| ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_34 ),
inference(resolution,[],[f1092,f345]) ).
fof(f345,plain,
! [X0] :
( v9_lattices(k11_group_4(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1092,plain,
( ~ v9_lattices(k11_group_4(sK21))
| spl27_34 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1110,plain,
spl27_32,
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| spl27_32 ),
inference(subsumption_resolution,[],[f1108,f437]) ).
fof(f1108,plain,
( ~ l1_group_1(sK21)
| spl27_32 ),
inference(subsumption_resolution,[],[f1107,f438]) ).
fof(f1107,plain,
( ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| spl27_32 ),
inference(subsumption_resolution,[],[f1106,f448]) ).
fof(f1106,plain,
( v3_struct_0(sK21)
| ~ l1_group_1(sK21)
| ~ v4_group_1(sK21)
| spl27_32 ),
inference(subsumption_resolution,[],[f1105,f439]) ).
fof(f1105,plain,
( ~ v3_group_1(sK21)
| ~ l1_group_1(sK21)
| v3_struct_0(sK21)
| ~ v4_group_1(sK21)
| spl27_32 ),
inference(resolution,[],[f1085,f347]) ).
fof(f347,plain,
! [X0] :
( v6_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1085,plain,
( ~ v6_lattices(k11_group_4(sK21))
| spl27_32 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f503,plain,
( spl27_2
| spl27_1 ),
inference(avatar_split_clause,[],[f481,f495,f499]) ).
fof(f481,plain,
( m1_group_6(sK24,sK21,sK25)
| r3_lattices(k11_group_4(sK21),sK24,sK25) ),
inference(definition_unfolding,[],[f445,f442,f443]) ).
fof(f445,plain,
( m1_group_6(sK22,sK21,sK23)
| r3_lattices(k11_group_4(sK21),sK24,sK25) ),
inference(cnf_transformation,[],[f322]) ).
fof(f502,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f480,f499,f495]) ).
fof(f480,plain,
( ~ r3_lattices(k11_group_4(sK21),sK24,sK25)
| ~ m1_group_6(sK24,sK21,sK25) ),
inference(definition_unfolding,[],[f446,f442,f443]) ).
fof(f446,plain,
( ~ m1_group_6(sK22,sK21,sK23)
| ~ r3_lattices(k11_group_4(sK21),sK24,sK25) ),
inference(cnf_transformation,[],[f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP648+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 22:04:34 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.14/0.46 % (795)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (812)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.46 % (794)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)
% 0.14/0.47 % (804)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)
% 0.14/0.47 % (796)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.47 % (796)Instruction limit reached!
% 0.14/0.47 % (796)------------------------------
% 0.14/0.47 % (796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (796)Termination reason: Unknown
% 0.14/0.47 % (796)Termination phase: shuffling
% 0.14/0.47
% 0.14/0.47 % (796)Memory used [KB]: 1023
% 0.14/0.47 % (796)Time elapsed: 0.004 s
% 0.14/0.47 % (796)Instructions burned: 2 (million)
% 0.14/0.47 % (796)------------------------------
% 0.14/0.47 % (796)------------------------------
% 0.14/0.48 % (811)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)
% 0.14/0.48 % (795)Instruction limit reached!
% 0.14/0.48 % (795)------------------------------
% 0.14/0.48 % (795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (795)Termination reason: Unknown
% 0.14/0.48 % (795)Termination phase: Function definition elimination
% 0.14/0.48
% 0.14/0.48 % (795)Memory used [KB]: 1151
% 0.14/0.48 % (795)Time elapsed: 0.007 s
% 0.14/0.48 % (795)Instructions burned: 7 (million)
% 0.14/0.48 % (795)------------------------------
% 0.14/0.48 % (795)------------------------------
% 0.14/0.48 % (803)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)
% 0.14/0.48 % (810)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)
% 0.14/0.49 % (802)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)
% 0.14/0.51 TRYING [1]
% 0.14/0.51 % (809)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.52 TRYING [2]
% 0.14/0.52 % (807)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)
% 0.14/0.52 % (792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52 % (806)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.52 % (793)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)
% 0.14/0.52 % (791)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)
% 0.14/0.52 % (790)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)
% 0.14/0.53 % (816)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.53 % (799)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)
% 0.14/0.53 % (817)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)
% 0.14/0.53 % (814)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)
% 0.14/0.53 % (801)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.53 % (800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.53 % (815)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)
% 0.14/0.54 % (798)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.54 % (808)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)
% 0.14/0.54 % (794)Instruction limit reached!
% 0.14/0.54 % (794)------------------------------
% 0.14/0.54 % (794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (794)Termination reason: Unknown
% 0.14/0.56 % (794)Termination phase: Finite model building SAT solving
% 0.14/0.56
% 0.14/0.56 % (794)Memory used [KB]: 7547
% 0.14/0.56 % (794)Time elapsed: 0.164 s
% 0.14/0.56 % (794)Instructions burned: 51 (million)
% 0.14/0.56 % (794)------------------------------
% 0.14/0.56 % (794)------------------------------
% 0.14/0.58 % (797)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)
% 0.14/0.58 % (805)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.59 % (813)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.61 % (790)Instruction limit reached!
% 0.14/0.61 % (790)------------------------------
% 0.14/0.61 % (790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.61 % (790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.61 % (790)Termination reason: Unknown
% 0.14/0.61 % (790)Termination phase: Saturation
% 0.14/0.61
% 0.14/0.61 % (790)Memory used [KB]: 1535
% 0.14/0.61 % (790)Time elapsed: 0.240 s
% 0.14/0.61 % (790)Instructions burned: 37 (million)
% 0.14/0.61 % (790)------------------------------
% 0.14/0.61 % (790)------------------------------
% 0.14/0.62 % (789)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)
% 0.14/0.62 % (802)Instruction limit reached!
% 0.14/0.62 % (802)------------------------------
% 0.14/0.62 % (802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.62 % (802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.62 % (802)Termination reason: Unknown
% 0.14/0.62 % (802)Termination phase: Saturation
% 0.14/0.62
% 0.14/0.62 % (802)Memory used [KB]: 6908
% 0.14/0.62 % (802)Time elapsed: 0.077 s
% 0.14/0.62 % (802)Instructions burned: 68 (million)
% 0.14/0.62 % (802)------------------------------
% 0.14/0.62 % (802)------------------------------
% 0.14/0.62 % (803)Instruction limit reached!
% 0.14/0.62 % (803)------------------------------
% 0.14/0.62 % (803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.63 % (788)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)
% 0.14/0.63 % (803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.63 % (803)Termination reason: Unknown
% 0.14/0.63 % (803)Termination phase: Saturation
% 0.14/0.63
% 0.14/0.63 % (803)Memory used [KB]: 2046
% 0.14/0.63 % (803)Time elapsed: 0.244 s
% 0.14/0.63 % (803)Instructions burned: 75 (million)
% 0.14/0.63 % (803)------------------------------
% 0.14/0.63 % (803)------------------------------
% 0.14/0.63 % (793)Instruction limit reached!
% 0.14/0.63 % (793)------------------------------
% 0.14/0.63 % (793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.63 % (793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.63 % (793)Termination reason: Unknown
% 0.14/0.63 % (793)Termination phase: Saturation
% 0.14/0.63
% 0.14/0.63 % (793)Memory used [KB]: 6268
% 0.14/0.63 % (793)Time elapsed: 0.263 s
% 0.14/0.63 % (793)Instructions burned: 49 (million)
% 0.14/0.63 % (793)------------------------------
% 0.14/0.63 % (793)------------------------------
% 2.23/0.65 % (819)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.23/0.66 % (804)Instruction limit reached!
% 2.23/0.66 % (804)------------------------------
% 2.23/0.66 % (804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (818)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.23/0.66 % (792)Instruction limit reached!
% 2.23/0.66 % (792)------------------------------
% 2.23/0.66 % (792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (792)Termination reason: Unknown
% 2.23/0.66 % (792)Termination phase: Saturation
% 2.23/0.66
% 2.23/0.66 % (792)Memory used [KB]: 6524
% 2.23/0.66 % (792)Time elapsed: 0.289 s
% 2.23/0.66 % (792)Instructions burned: 51 (million)
% 2.23/0.66 % (792)------------------------------
% 2.23/0.66 % (792)------------------------------
% 2.67/0.66 % (791)Instruction limit reached!
% 2.67/0.66 % (791)------------------------------
% 2.67/0.66 % (791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.66 % (791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.66 % (791)Termination reason: Unknown
% 2.67/0.66 % (791)Termination phase: Saturation
% 2.67/0.66
% 2.67/0.66 % (791)Memory used [KB]: 6524
% 2.67/0.66 % (791)Time elapsed: 0.287 s
% 2.67/0.66 % (791)Instructions burned: 51 (million)
% 2.67/0.66 % (791)------------------------------
% 2.67/0.66 % (791)------------------------------
% 2.68/0.67 % (804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.67 % (804)Termination reason: Unknown
% 2.68/0.67 % (804)Termination phase: Saturation
% 2.68/0.67
% 2.68/0.67 % (804)Memory used [KB]: 6652
% 2.68/0.67 % (804)Time elapsed: 0.289 s
% 2.68/0.67 % (804)Instructions burned: 99 (million)
% 2.68/0.67 % (804)------------------------------
% 2.68/0.67 % (804)------------------------------
% 2.68/0.67 % (798)Instruction limit reached!
% 2.68/0.67 % (798)------------------------------
% 2.68/0.67 % (798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.67 % (798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.67 % (798)Termination reason: Unknown
% 2.68/0.67 % (798)Termination phase: Saturation
% 2.68/0.67
% 2.68/0.67 % (798)Memory used [KB]: 6524
% 2.68/0.67 % (798)Time elapsed: 0.288 s
% 2.68/0.67 % (798)Instructions burned: 50 (million)
% 2.68/0.67 % (798)------------------------------
% 2.68/0.67 % (798)------------------------------
% 2.68/0.68 % (789)Refutation not found, incomplete strategy% (789)------------------------------
% 2.68/0.68 % (789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.68 % (789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.68 % (789)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.68
% 2.68/0.68 % (789)Memory used [KB]: 5884
% 2.68/0.68 % (789)Time elapsed: 0.289 s
% 2.68/0.68 % (789)Instructions burned: 18 (million)
% 2.68/0.68 % (789)------------------------------
% 2.68/0.68 % (789)------------------------------
% 2.68/0.70 TRYING [1]
% 2.94/0.72 % (814)Instruction limit reached!
% 2.94/0.72 % (814)------------------------------
% 2.94/0.72 % (814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.72 % (814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.72 % (814)Termination reason: Unknown
% 2.94/0.72 % (814)Termination phase: Saturation
% 2.94/0.72
% 2.94/0.72 % (814)Memory used [KB]: 6908
% 2.94/0.72 % (814)Time elapsed: 0.055 s
% 2.94/0.72 % (814)Instructions burned: 68 (million)
% 2.94/0.72 % (814)------------------------------
% 2.94/0.72 % (814)------------------------------
% 2.94/0.72 % (820)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.94/0.72 TRYING [1]
% 2.94/0.73 TRYING [2]
% 2.94/0.73 TRYING [2]
% 3.14/0.75 % (800)Instruction limit reached!
% 3.14/0.75 % (800)------------------------------
% 3.14/0.75 % (800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.76 % (800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.76 % (800)Termination reason: Unknown
% 3.14/0.76 % (800)Termination phase: Saturation
% 3.14/0.76
% 3.14/0.76 % (800)Memory used [KB]: 7164
% 3.14/0.76 % (800)Time elapsed: 0.385 s
% 3.14/0.76 % (800)Instructions burned: 101 (million)
% 3.14/0.76 % (800)------------------------------
% 3.14/0.76 % (800)------------------------------
% 3.14/0.77 % (805)Instruction limit reached!
% 3.14/0.77 % (805)------------------------------
% 3.14/0.77 % (805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.77 % (805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.77 % (805)Termination reason: Unknown
% 3.14/0.77 % (805)Termination phase: Finite model building SAT solving
% 3.14/0.77
% 3.14/0.77 % (805)Memory used [KB]: 7547
% 3.14/0.77 % (805)Time elapsed: 0.345 s
% 3.14/0.77 % (805)Instructions burned: 59 (million)
% 3.14/0.77 % (805)------------------------------
% 3.14/0.77 % (805)------------------------------
% 3.14/0.77 % (799)Instruction limit reached!
% 3.14/0.77 % (799)------------------------------
% 3.14/0.77 % (799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.77 % (799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.77 % (799)Termination reason: Unknown
% 3.14/0.77 % (799)Termination phase: Saturation
% 3.14/0.77
% 3.14/0.77 % (799)Memory used [KB]: 6780
% 3.14/0.77 % (799)Time elapsed: 0.385 s
% 3.14/0.77 % (799)Instructions burned: 100 (million)
% 3.14/0.77 % (799)------------------------------
% 3.14/0.77 % (799)------------------------------
% 3.14/0.78 % (797)Instruction limit reached!
% 3.14/0.78 % (797)------------------------------
% 3.14/0.78 % (797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.78 % (797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.78 % (797)Termination reason: Unknown
% 3.14/0.78 % (797)Termination phase: Saturation
% 3.14/0.78
% 3.14/0.78 % (797)Memory used [KB]: 2174
% 3.14/0.78 % (797)Time elapsed: 0.381 s
% 3.14/0.78 % (797)Instructions burned: 51 (million)
% 3.14/0.78 % (797)------------------------------
% 3.14/0.78 % (797)------------------------------
% 3.14/0.78 % (801)Instruction limit reached!
% 3.14/0.78 % (801)------------------------------
% 3.14/0.78 % (801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.78 % (801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.78 % (801)Termination reason: Unknown
% 3.14/0.78 % (801)Termination phase: Saturation
% 3.14/0.78
% 3.14/0.78 % (801)Memory used [KB]: 7164
% 3.14/0.78 % (801)Time elapsed: 0.413 s
% 3.14/0.78 % (801)Instructions burned: 99 (million)
% 3.14/0.78 % (801)------------------------------
% 3.14/0.78 % (801)------------------------------
% 3.14/0.78 % (807)Instruction limit reached!
% 3.14/0.78 % (807)------------------------------
% 3.14/0.78 % (807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.78 % (807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.78 % (807)Termination reason: Unknown
% 3.14/0.78 % (807)Termination phase: Saturation
% 3.14/0.78
% 3.14/0.78 % (807)Memory used [KB]: 2174
% 3.14/0.78 % (807)Time elapsed: 0.398 s
% 3.14/0.78 % (807)Instructions burned: 100 (million)
% 3.14/0.78 % (807)------------------------------
% 3.14/0.78 % (807)------------------------------
% 3.14/0.79 % (822)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.14/0.80 % (806)Instruction limit reached!
% 3.14/0.80 % (806)------------------------------
% 3.14/0.80 % (806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.80 % (806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.80 % (806)Termination reason: Unknown
% 3.14/0.80 % (806)Termination phase: Saturation
% 3.14/0.80
% 3.14/0.80 % (806)Memory used [KB]: 7164
% 3.14/0.80 % (806)Time elapsed: 0.430 s
% 3.14/0.80 % (806)Instructions burned: 100 (million)
% 3.14/0.80 % (806)------------------------------
% 3.14/0.80 % (806)------------------------------
% 3.14/0.81 % (809)Instruction limit reached!
% 3.14/0.81 % (809)------------------------------
% 3.14/0.81 % (809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.81 % (823)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.14/0.82 % (821)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.14/0.82 % (809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.82 % (809)Termination reason: Unknown
% 3.14/0.82 % (809)Termination phase: Saturation
% 3.14/0.82
% 3.14/0.82 % (809)Memory used [KB]: 7931
% 3.14/0.82 % (809)Time elapsed: 0.433 s
% 3.14/0.82 % (809)Instructions burned: 138 (million)
% 3.14/0.82 % (809)------------------------------
% 3.14/0.82 % (809)------------------------------
% 3.14/0.83 % (824)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.62/0.84 % (826)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.62/0.84 TRYING [3]
% 3.62/0.85 % (825)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 (2996ds/68Mi)
% 3.80/0.91 % (828)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.80/0.93 % (820)Instruction limit reached!
% 3.80/0.93 % (820)------------------------------
% 3.80/0.93 % (820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/0.93 % (820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/0.93 % (820)Termination reason: Unknown
% 3.80/0.93 % (820)Termination phase: Saturation
% 3.80/0.93
% 3.80/0.93 % (820)Memory used [KB]: 6908
% 3.80/0.93 % (820)Time elapsed: 0.297 s
% 3.80/0.93 % (820)Instructions burned: 91 (million)
% 3.80/0.93 % (820)------------------------------
% 3.80/0.93 % (820)------------------------------
% 3.80/0.93 % (815)Instruction limit reached!
% 3.80/0.93 % (815)------------------------------
% 3.80/0.93 % (815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/0.93 % (831)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.80/0.93 % (830)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.80/0.94 % (835)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 (2995ds/68Mi)
% 3.80/0.95 % (815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/0.95 % (815)Termination reason: Unknown
% 3.80/0.95 % (815)Termination phase: Saturation
% 3.80/0.95
% 3.80/0.95 % (815)Memory used [KB]: 3326
% 3.80/0.95 % (815)Time elapsed: 0.564 s
% 3.80/0.95 % (815)Instructions burned: 178 (million)
% 3.80/0.95 % (815)------------------------------
% 3.80/0.95 % (815)------------------------------
% 4.01/0.96 % (808)Instruction limit reached!
% 4.01/0.96 % (808)------------------------------
% 4.01/0.96 % (808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/0.96 % (808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/0.96 % (808)Termination reason: Unknown
% 4.04/0.96 % (808)Termination phase: Saturation
% 4.04/0.96
% 4.04/0.96 % (808)Memory used [KB]: 9083
% 4.04/0.96 % (808)Time elapsed: 0.575 s
% 4.04/0.96 % (808)Instructions burned: 176 (million)
% 4.04/0.96 % (808)------------------------------
% 4.04/0.96 % (808)------------------------------
% 4.04/0.98 % (838)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 4.04/0.98 % (832)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.04/0.99 % (825)Instruction limit reached!
% 4.04/0.99 % (825)------------------------------
% 4.04/0.99 % (825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.04/0.99 % (825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.04/0.99 % (825)Termination reason: Unknown
% 4.04/0.99 % (825)Termination phase: Saturation
% 4.04/0.99
% 4.04/0.99 % (825)Memory used [KB]: 7036
% 4.04/0.99 % (825)Time elapsed: 0.063 s
% 4.04/0.99 % (825)Instructions burned: 68 (million)
% 4.04/0.99 % (825)------------------------------
% 4.04/0.99 % (825)------------------------------
% 4.24/1.00 % (837)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 4.24/1.02 % (836)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 4.24/1.03 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.24/1.03 % (827)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 4.33/1.04 % (829)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 4.33/1.07 % (819)Instruction limit reached!
% 4.33/1.07 % (819)------------------------------
% 4.33/1.07 % (819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.33/1.07 % (819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.33/1.07 % (819)Termination reason: Unknown
% 4.33/1.07 % (819)Termination phase: Saturation
% 4.33/1.07
% 4.33/1.07 % (819)Memory used [KB]: 5756
% 4.33/1.07 % (819)Time elapsed: 0.509 s
% 4.33/1.07 % (819)Instructions burned: 211 (million)
% 4.33/1.07 % (819)------------------------------
% 4.33/1.07 % (819)------------------------------
% 4.33/1.09 % (835)Instruction limit reached!
% 4.33/1.09 % (835)------------------------------
% 4.33/1.09 % (835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.33/1.09 % (835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.33/1.09 % (835)Termination reason: Unknown
% 4.33/1.09 % (835)Termination phase: Saturation
% 4.33/1.09
% 4.33/1.09 % (835)Memory used [KB]: 7036
% 4.33/1.09 % (835)Time elapsed: 0.056 s
% 4.33/1.09 % (835)Instructions burned: 68 (million)
% 4.33/1.09 % (835)------------------------------
% 4.33/1.09 % (835)------------------------------
% 4.33/1.12 % (840)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 4.33/1.14 % (841)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 6.45/1.15 % (833)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 6.45/1.16 % (834)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 6.45/1.16 % (828)Instruction limit reached!
% 6.45/1.16 % (828)------------------------------
% 6.45/1.16 % (828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.45/1.16 % (828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.45/1.16 % (828)Termination reason: Unknown
% 6.45/1.16 % (828)Termination phase: Saturation
% 6.45/1.16
% 6.45/1.16 % (828)Memory used [KB]: 7291
% 6.45/1.16 % (828)Time elapsed: 0.423 s
% 6.45/1.16 % (828)Instructions burned: 90 (million)
% 6.45/1.16 % (828)------------------------------
% 6.45/1.16 % (828)------------------------------
% 6.45/1.17 % (839)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.45/1.18 % (842)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 6.92/1.25 % (843)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 6.92/1.26 % (817)Instruction limit reached!
% 6.92/1.26 % (817)------------------------------
% 6.92/1.26 % (817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.92/1.27 % (844)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.46/1.28 % (817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.46/1.28 % (817)Termination reason: Unknown
% 7.46/1.28 % (817)Termination phase: Saturation
% 7.46/1.28
% 7.46/1.28 % (817)Memory used [KB]: 10234
% 7.46/1.28 % (817)Time elapsed: 0.880 s
% 7.46/1.28 % (817)Instructions burned: 355 (million)
% 7.46/1.28 % (817)------------------------------
% 7.46/1.28 % (817)------------------------------
% 7.46/1.31 % (811)Instruction limit reached!
% 7.46/1.31 % (811)------------------------------
% 7.46/1.31 % (811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.46/1.32 % (811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.46/1.32 % (811)Termination reason: Unknown
% 7.46/1.32 % (811)Termination phase: Saturation
% 7.46/1.32
% 7.46/1.32 % (811)Memory used [KB]: 9722
% 7.46/1.32 % (811)Time elapsed: 0.940 s
% 7.46/1.32 % (811)Instructions burned: 467 (million)
% 7.46/1.32 % (811)------------------------------
% 7.46/1.32 % (811)------------------------------
% 7.46/1.33 % (840)Instruction limit reached!
% 7.46/1.33 % (840)------------------------------
% 7.46/1.33 % (840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.46/1.33 % (840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.46/1.33 % (840)Termination reason: Unknown
% 7.46/1.33 % (840)Termination phase: Saturation
% 7.46/1.33
% 7.46/1.33 % (840)Memory used [KB]: 7164
% 7.46/1.33 % (840)Time elapsed: 0.317 s
% 7.46/1.33 % (840)Instructions burned: 90 (million)
% 7.46/1.33 % (840)------------------------------
% 7.46/1.33 % (840)------------------------------
% 8.28/1.41 % (845)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 8.61/1.45 % (810)Instruction limit reached!
% 8.61/1.45 % (810)------------------------------
% 8.61/1.45 % (810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.61/1.45 % (810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.61/1.45 % (810)Termination reason: Unknown
% 8.61/1.45 % (810)Termination phase: Saturation
% 8.61/1.45
% 8.61/1.45 % (810)Memory used [KB]: 6780
% 8.61/1.45 % (810)Time elapsed: 1.055 s
% 8.61/1.45 % (810)Instructions burned: 498 (million)
% 8.61/1.45 % (810)------------------------------
% 8.61/1.45 % (810)------------------------------
% 8.61/1.46 % (846)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 8.61/1.47 % (816)Instruction limit reached!
% 8.61/1.47 % (816)------------------------------
% 8.61/1.47 % (816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.61/1.47 % (816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.61/1.47 % (816)Termination reason: Unknown
% 8.61/1.47 % (816)Termination phase: Saturation
% 8.61/1.47
% 8.61/1.47 % (816)Memory used [KB]: 14200
% 8.61/1.47 % (816)Time elapsed: 1.082 s
% 8.61/1.47 % (816)Instructions burned: 440 (million)
% 8.61/1.47 % (816)------------------------------
% 8.61/1.47 % (816)------------------------------
% 8.61/1.49 % (847)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.61/1.51 % (848)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 9.48/1.64 % (818)Instruction limit reached!
% 9.48/1.64 % (818)------------------------------
% 9.48/1.64 % (818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.48/1.64 % (818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.48/1.64 % (818)Termination reason: Unknown
% 9.48/1.64 % (818)Termination phase: Saturation
% 9.48/1.64
% 9.48/1.64 % (818)Memory used [KB]: 9083
% 9.48/1.64 % (818)Time elapsed: 1.120 s
% 9.48/1.64 % (818)Instructions burned: 388 (million)
% 9.48/1.64 % (818)------------------------------
% 9.48/1.64 % (818)------------------------------
% 9.48/1.65 % (812)Instruction limit reached!
% 9.48/1.65 % (812)------------------------------
% 9.48/1.65 % (812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.48/1.65 % (812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.48/1.65 % (812)Termination reason: Unknown
% 9.48/1.65 % (812)Termination phase: Saturation
% 9.48/1.65
% 9.48/1.65 % (812)Memory used [KB]: 11641
% 9.48/1.65 % (812)Time elapsed: 1.261 s
% 9.48/1.65 % (812)Instructions burned: 483 (million)
% 9.48/1.65 % (812)------------------------------
% 9.48/1.65 % (812)------------------------------
% 10.20/1.69 % (849)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 10.20/1.72 % (850)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 11.95/1.85 % (852)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/35256Mi)
% 12.21/1.89 % (851)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/4958Mi)
% 12.65/1.95 % (849)Instruction limit reached!
% 12.65/1.95 % (849)------------------------------
% 12.65/1.95 % (849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.65/1.95 % (849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.65/1.95 % (849)Termination reason: Unknown
% 12.65/1.95 % (849)Termination phase: Saturation
% 12.65/1.95
% 12.65/1.95 % (849)Memory used [KB]: 6908
% 12.65/1.95 % (849)Time elapsed: 0.444 s
% 12.65/1.95 % (849)Instructions burned: 91 (million)
% 12.65/1.95 % (849)------------------------------
% 12.65/1.95 % (849)------------------------------
% 12.83/1.96 TRYING [4]
% 14.55/2.18 % (823)Instruction limit reached!
% 14.55/2.18 % (823)------------------------------
% 14.55/2.18 % (823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.55/2.19 % (823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.55/2.19 % (823)Termination reason: Unknown
% 14.55/2.19 % (823)Termination phase: Saturation
% 14.55/2.19
% 14.55/2.19 % (823)Memory used [KB]: 14711
% 14.55/2.19 % (823)Time elapsed: 1.430 s
% 14.55/2.19 % (823)Instructions burned: 747 (million)
% 14.55/2.19 % (823)------------------------------
% 14.55/2.19 % (823)------------------------------
% 14.55/2.19 % (824)Instruction limit reached!
% 14.55/2.19 % (824)------------------------------
% 14.55/2.19 % (824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.55/2.19 % (854)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/32293Mi)
% 14.55/2.21 % (824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.55/2.21 % (824)Termination reason: Unknown
% 14.55/2.21 % (824)Termination phase: Saturation
% 14.55/2.21
% 14.55/2.21 % (824)Memory used [KB]: 4989
% 14.55/2.21 % (824)Time elapsed: 1.482 s
% 14.55/2.21 % (824)Instructions burned: 655 (million)
% 14.55/2.21 % (824)------------------------------
% 14.55/2.21 % (824)------------------------------
% 15.28/2.31 % (842)First to succeed.
% 15.92/2.34 % (830)Also succeeded, but the first one will report.
% 15.92/2.35 % (842)Refutation found. Thanks to Tanya!
% 15.92/2.35 % SZS status Theorem for theBenchmark
% 15.92/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 15.92/2.35 % (842)------------------------------
% 15.92/2.35 % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.92/2.35 % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.92/2.35 % (842)Termination reason: Refutation
% 15.92/2.35
% 15.92/2.35 % (842)Memory used [KB]: 11641
% 15.92/2.35 % (842)Time elapsed: 1.265 s
% 15.92/2.35 % (842)Instructions burned: 499 (million)
% 15.92/2.35 % (842)------------------------------
% 15.92/2.35 % (842)------------------------------
% 15.92/2.35 % (787)Success in time 2.033 s
%------------------------------------------------------------------------------