TSTP Solution File: ITP019+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP019+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:44:30 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 93 ( 39 unt; 0 def)
% Number of atoms : 236 ( 51 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 217 ( 74 ~; 46 |; 33 &)
% ( 39 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 22 usr; 20 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 27 ( 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f167,f172,f178,f183,f188,f193,f198,f203,f208,f213,f218,f223,f232,f236,f242,f246,f247]) ).
fof(f247,plain,
( ~ spl5_1
| spl5_10
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f237,f234,f205,f159]) ).
fof(f159,plain,
( spl5_1
<=> mem(sK1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f205,plain,
( spl5_10
<=> sK1 = ap(c_2Ecomplex_2Ecomplex__inv,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f234,plain,
( spl5_16
<=> ! [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| ap(c_2Ecomplex_2Ecomplex__inv,sK1) = X0
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f237,plain,
( sK1 = ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| ~ mem(sK1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ~ spl5_16 ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
( ! [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| ap(c_2Ecomplex_2Ecomplex__inv,sK1) = X0
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f246,plain,
spl5_18,
inference(avatar_split_clause,[],[f130,f244]) ).
fof(f244,plain,
( spl5_18
<=> ! [X0] :
( sP0(X0)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f130,plain,
! [X0] :
( sP0(X0)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ( ~ p(X0)
| p(X0) )
& ( ~ p(X0)
| p(X0) )
& ( p(X0)
| ~ p(X0) )
& sP0(X0) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( ~ p(X0)
| p(X0) )
& ( ~ p(X0)
| p(X0) )
& ( p(X0)
| ~ p(X0) )
& sP0(X0) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ( ~ p(X0)
<=> ~ p(X0) )
& ( p(X0)
| ~ p(X0) )
& sP0(X0) )
| ~ mem(X0,bool) ),
inference(definition_folding,[],[f62,f74]) ).
fof(f74,plain,
! [X0] :
( ( p(X0)
<=> p(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
! [X0] :
( ( ( ~ p(X0)
<=> ~ p(X0) )
& ( p(X0)
| ~ p(X0) )
& ( p(X0)
<=> p(X0) ) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( mem(X0,bool)
=> ( ( ~ p(X0)
<=> ~ p(X0) )
& ( p(X0)
=> p(X0) )
& ( p(X0)
<=> p(X0) ) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( mem(X0,bool)
=> ( ( ~ p(X0)
<=> ~ p(X0) )
& ( p(X0)
=> p(X0) )
& ( p(X0)
<=> p(X0) ) ) ),
inference(true_and_false_elimination,[],[f42]) ).
fof(f42,plain,
! [X0] :
( mem(X0,bool)
=> ( ( ( p(X0)
=> $false )
<=> ~ p(X0) )
& ( ( p(X0)
=> p(X0) )
<=> $true )
& ( ( $false
=> p(X0) )
<=> $true )
& ( ( p(X0)
=> $true )
<=> $true )
& ( ( $true
=> p(X0) )
<=> p(X0) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X11] :
( mem(X11,bool)
=> ( ( ( p(X11)
=> $false )
<=> ~ p(X11) )
& ( ( p(X11)
=> p(X11) )
<=> $true )
& ( ( $false
=> p(X11) )
<=> $true )
& ( ( p(X11)
=> $true )
<=> $true )
& ( ( $true
=> p(X11) )
<=> p(X11) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2EIMP__CLAUSES) ).
fof(f242,plain,
spl5_17,
inference(avatar_split_clause,[],[f111,f239]) ).
fof(f239,plain,
( spl5_17
<=> mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f111,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
fof(f236,plain,
spl5_16,
inference(avatar_split_clause,[],[f157,f234]) ).
fof(f157,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| ap(c_2Ecomplex_2Ecomplex__inv,sK1) = X0
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(forward_demodulation,[],[f156,f101]) ).
fof(f101,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK1)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK1
& mem(sK1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f54,f76]) ).
fof(f76,plain,
( ? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK1)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK1
& mem(sK1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(f156,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,sK1) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(forward_demodulation,[],[f144,f101]) ).
fof(f144,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X13) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(f232,plain,
( spl5_14
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f155,f229,f225]) ).
fof(f225,plain,
( spl5_14
<=> ap(c_2Ecomplex_2Ecomplex__inv,sK1) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f229,plain,
( spl5_15
<=> mem(ap(c_2Ecomplex_2Ecomplex__inv,sK1),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f155,plain,
( ~ mem(ap(c_2Ecomplex_2Ecomplex__inv,sK1),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,sK1) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,sK1)) ),
inference(forward_demodulation,[],[f154,f101]) ).
fof(f154,plain,
( ap(c_2Ecomplex_2Ecomplex__inv,sK1) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,sK1))
| ~ mem(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(forward_demodulation,[],[f152,f101]) ).
fof(f152,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))
| ~ mem(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f223,plain,
spl5_13,
inference(avatar_split_clause,[],[f110,f220]) ).
fof(f220,plain,
( spl5_13
<=> mem(c_2Enum_2E0,ty_2Enum_2Enum) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f110,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Enum_2E0) ).
fof(f218,plain,
spl5_12,
inference(avatar_split_clause,[],[f109,f215]) ).
fof(f215,plain,
( spl5_12
<=> mem(c_2Ebool_2ET,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f109,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
fof(f213,plain,
spl5_11,
inference(avatar_split_clause,[],[f108,f210]) ).
fof(f210,plain,
( spl5_11
<=> mem(c_2Ebool_2EF,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f108,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
fof(f208,plain,
( ~ spl5_10
| spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f173,f169,f164,f205]) ).
fof(f164,plain,
( spl5_2
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f169,plain,
( spl5_3
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f173,plain,
( sK1 != ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| spl5_2
| ~ spl5_3 ),
inference(superposition,[],[f166,f171]) ).
fof(f171,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK1)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f166,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK1
| spl5_2 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f203,plain,
spl5_9,
inference(avatar_split_clause,[],[f107,f200]) ).
fof(f200,plain,
( spl5_9
<=> ne(bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f107,plain,
ne(bool),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne) ).
fof(f198,plain,
spl5_8,
inference(avatar_split_clause,[],[f106,f195]) ).
fof(f195,plain,
( spl5_8
<=> ne(ty_2Erealax_2Ereal) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f106,plain,
ne(ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
ne(ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Erealax_2Ereal) ).
fof(f193,plain,
spl5_7,
inference(avatar_split_clause,[],[f105,f190]) ).
fof(f190,plain,
( spl5_7
<=> ne(ty_2Enum_2Enum) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f105,plain,
ne(ty_2Enum_2Enum),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
ne(ty_2Enum_2Enum),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Enum_2Enum) ).
fof(f188,plain,
spl5_6,
inference(avatar_split_clause,[],[f104,f185]) ).
fof(f185,plain,
( spl5_6
<=> ne(ind) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f104,plain,
ne(ind),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
ne(ind),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ind_ne) ).
fof(f183,plain,
spl5_5,
inference(avatar_split_clause,[],[f103,f180]) ).
fof(f180,plain,
( spl5_5
<=> p(c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f103,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
fof(f178,plain,
~ spl5_4,
inference(avatar_split_clause,[],[f102,f175]) ).
fof(f175,plain,
( spl5_4
<=> p(c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f102,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
fof(f172,plain,
spl5_3,
inference(avatar_split_clause,[],[f101,f169]) ).
fof(f167,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f100,f164]) ).
fof(f100,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK1,
inference(cnf_transformation,[],[f77]) ).
fof(f162,plain,
spl5_1,
inference(avatar_split_clause,[],[f99,f159]) ).
fof(f99,plain,
mem(sK1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP019+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:32:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (13755)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13758)WARNING: value z3 for option sas not known
% 0.14/0.37 % (13757)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (13756)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (13759)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (13758)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (13760)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13761)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (13762)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (13760)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (13760)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13755"
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (13760)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (13760)------------------------------
% 0.14/0.38 % (13760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (13760)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (13760)Memory used [KB]: 899
% 0.14/0.38 % (13760)Time elapsed: 0.006 s
% 0.14/0.38 % (13760)Instructions burned: 8 (million)
% 0.14/0.38 % (13755)Success in time 0.013 s
%------------------------------------------------------------------------------