TSTP Solution File: ITP013+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP013+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 22:30:54 EDT 2024
% Result : Theorem 0.98s 0.83s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 152 ( 47 unt; 0 def)
% Number of atoms : 389 ( 68 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 400 ( 163 ~; 157 |; 14 &)
% ( 8 <=>; 56 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 21 con; 0-2 aty)
% Number of variables : 148 ( 142 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1025,plain,
$false,
inference(avatar_sat_refutation,[],[f234,f242,f710,f945,f950,f995,f1024]) ).
fof(f1024,plain,
~ spl16_19,
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl16_19 ),
inference(subsumption_resolution,[],[f1018,f156]) ).
fof(f156,plain,
~ sP4(ap(sF6,sF14)),
inference(backward_demodulation,[],[f149,f148]) ).
fof(f148,plain,
ap(sF6,sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f149,plain,
~ sP4(sF15),
inference(definition_folding,[],[f128,f148,f147,f146,f137]) ).
fof(f137,plain,
c_2Ewords_2En2w(sK0) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f146,plain,
ap(c_2Earithmetic_2E_2D,sK1) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f147,plain,
ap(sF13,sK2) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f128,plain,
~ sP4(ap(c_2Ewords_2En2w(sK0),ap(ap(c_2Earithmetic_2E_2D,sK1),sK2))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1018,plain,
( sP4(ap(sF6,sF14))
| ~ spl16_19 ),
inference(backward_demodulation,[],[f154,f1016]) ).
fof(f1016,plain,
( ap(sF8,sF9) = ap(sF6,sF14)
| ~ spl16_19 ),
inference(subsumption_resolution,[],[f1013,f345]) ).
fof(f345,plain,
mem(sF9,ty_2Efcp_2Ecart(bool,sK0)),
inference(subsumption_resolution,[],[f344,f92]) ).
fof(f92,plain,
mem(sK2,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) != ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
& p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
& mem(X2,ty_2Enum_2Enum) )
& mem(X1,ty_2Enum_2Enum) )
& ne(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) != ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
& p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
& mem(X2,ty_2Enum_2Enum) )
& mem(X1,ty_2Enum_2Enum) )
& ne(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Enum_2Enum)
=> ! [X2] :
( mem(X2,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
=> ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2)) ) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X10] :
( ne(X10)
=> ! [X35] :
( mem(X35,ty_2Enum_2Enum)
=> ! [X36] :
( mem(X36,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X36),X35))
=> ap(c_2Ewords_2En2w(X10),ap(ap(c_2Earithmetic_2E_2D,X35),X36)) = ap(ap(c_2Ewords_2Eword__sub(X10),ap(c_2Ewords_2En2w(X10),X35)),ap(c_2Ewords_2En2w(X10),X36)) ) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X10] :
( ne(X10)
=> ! [X35] :
( mem(X35,ty_2Enum_2Enum)
=> ! [X36] :
( mem(X36,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X36),X35))
=> ap(c_2Ewords_2En2w(X10),ap(ap(c_2Earithmetic_2E_2D,X35),X36)) = ap(ap(c_2Ewords_2Eword__sub(X10),ap(c_2Ewords_2En2w(X10),X35)),ap(c_2Ewords_2En2w(X10),X36)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ewords_2En2w__sub) ).
fof(f344,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| mem(sF9,ty_2Efcp_2Ecart(bool,sK0)) ),
inference(resolution,[],[f172,f158]) ).
fof(f158,plain,
mem(sF6,arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,sK0))),
inference(subsumption_resolution,[],[f157,f96]) ).
fof(f96,plain,
ne(sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f157,plain,
( mem(sF6,arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,sK0)))
| ~ ne(sK0) ),
inference(superposition,[],[f112,f137]) ).
fof(f112,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ne(X0)
=> mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Ewords_2En2w(X10),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ewords_2En2w) ).
fof(f172,plain,
! [X0,X1] :
( ~ mem(sF6,arr(X1,X0))
| ~ mem(sK2,X1)
| mem(sF9,X0) ),
inference(superposition,[],[f104,f140]) ).
fof(f140,plain,
ap(sF6,sK2) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f1013,plain,
( ap(sF8,sF9) = ap(sF6,sF14)
| ~ mem(sF9,ty_2Efcp_2Ecart(bool,sK0))
| ~ spl16_19 ),
inference(superposition,[],[f944,f219]) ).
fof(f219,plain,
! [X0] :
( ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),X0)) = ap(sF8,X0)
| ~ mem(X0,ty_2Efcp_2Ecart(bool,sK0)) ),
inference(forward_demodulation,[],[f218,f139]) ).
fof(f139,plain,
ap(sF5,sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f218,plain,
! [X0] :
( ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),X0)) = ap(ap(sF5,sF7),X0)
| ~ mem(X0,ty_2Efcp_2Ecart(bool,sK0)) ),
inference(forward_demodulation,[],[f217,f136]) ).
fof(f136,plain,
c_2Ewords_2Eword__sub(sK0) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f217,plain,
! [X0] :
( ~ mem(X0,ty_2Efcp_2Ecart(bool,sK0))
| ap(ap(c_2Ewords_2Eword__sub(sK0),sF7),X0) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),X0)) ),
inference(subsumption_resolution,[],[f216,f96]) ).
fof(f216,plain,
! [X0] :
( ~ ne(sK0)
| ~ mem(X0,ty_2Efcp_2Ecart(bool,sK0))
| ap(ap(c_2Ewords_2Eword__sub(sK0),sF7),X0) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),X0)) ),
inference(resolution,[],[f209,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ mem(X1,ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X0))
| ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2))
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X0)) )
| ~ mem(X1,ty_2Efcp_2Ecart(bool,X0)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Efcp_2Ecart(bool,X0))
=> ! [X2] :
( mem(X2,ty_2Efcp_2Ecart(bool,X0))
=> ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2)) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X10] :
( ne(X10)
=> ! [X28] :
( mem(X28,ty_2Efcp_2Ecart(bool,X10))
=> ! [X29] :
( mem(X29,ty_2Efcp_2Ecart(bool,X10))
=> ap(ap(c_2Ewords_2Eword__sub(X10),X28),X29) = ap(ap(c_2Ewords_2Eword__add(X10),X28),ap(c_2Ewords_2Eword__2comp(X10),X29)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ewords_2Eword__sub__def) ).
fof(f209,plain,
mem(sF7,ty_2Efcp_2Ecart(bool,sK0)),
inference(subsumption_resolution,[],[f208,f95]) ).
fof(f95,plain,
mem(sK1,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f66]) ).
fof(f208,plain,
( ~ mem(sK1,ty_2Enum_2Enum)
| mem(sF7,ty_2Efcp_2Ecart(bool,sK0)) ),
inference(resolution,[],[f171,f158]) ).
fof(f171,plain,
! [X0,X1] :
( ~ mem(sF6,arr(X1,X0))
| ~ mem(sK1,X1)
| mem(sF7,X0) ),
inference(superposition,[],[f104,f138]) ).
fof(f138,plain,
ap(sF6,sK1) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f944,plain,
( ap(sF6,sF14) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9))
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl16_19
<=> ap(sF6,sF14) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f154,plain,
sP4(ap(sF8,sF9)),
inference(backward_demodulation,[],[f142,f141]) ).
fof(f141,plain,
ap(sF8,sF9) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f142,plain,
sP4(sF10),
inference(definition_folding,[],[f129,f141,f140,f137,f139,f138,f137,f136]) ).
fof(f129,plain,
sP4(ap(ap(c_2Ewords_2Eword__sub(sK0),ap(c_2Ewords_2En2w(sK0),sK1)),ap(c_2Ewords_2En2w(sK0),sK2))),
inference(inequality_splitting,[],[f94,f128]) ).
fof(f94,plain,
ap(c_2Ewords_2En2w(sK0),ap(ap(c_2Earithmetic_2E_2D,sK1),sK2)) != ap(ap(c_2Ewords_2Eword__sub(sK0),ap(c_2Ewords_2En2w(sK0),sK1)),ap(c_2Ewords_2En2w(sK0),sK2)),
inference(cnf_transformation,[],[f66]) ).
fof(f995,plain,
spl16_18,
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| spl16_18 ),
inference(subsumption_resolution,[],[f993,f95]) ).
fof(f993,plain,
( ~ mem(sK1,ty_2Enum_2Enum)
| spl16_18 ),
inference(subsumption_resolution,[],[f992,f92]) ).
fof(f992,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| ~ mem(sK1,ty_2Enum_2Enum)
| spl16_18 ),
inference(resolution,[],[f991,f110]) ).
fof(f110,plain,
mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Earithmetic_2E_2D) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ mem(c_2Earithmetic_2E_2D,arr(X1,arr(X0,ty_2Enum_2Enum)))
| ~ mem(sK2,X1)
| ~ mem(sK1,X0) )
| spl16_18 ),
inference(resolution,[],[f990,f104]) ).
fof(f990,plain,
( ! [X0] :
( ~ mem(ap(c_2Earithmetic_2E_2D,sK2),arr(X0,ty_2Enum_2Enum))
| ~ mem(sK1,X0) )
| spl16_18 ),
inference(resolution,[],[f982,f104]) ).
fof(f982,plain,
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK2),sK1),ty_2Enum_2Enum)
| spl16_18 ),
inference(resolution,[],[f974,f158]) ).
fof(f974,plain,
( ! [X0] :
( ~ mem(sF6,arr(X0,ty_2Efcp_2Ecart(bool,sK0)))
| ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK2),sK1),X0) )
| spl16_18 ),
inference(resolution,[],[f964,f104]) ).
fof(f964,plain,
( ~ mem(ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1)),ty_2Efcp_2Ecart(bool,sK0))
| spl16_18 ),
inference(subsumption_resolution,[],[f963,f96]) ).
fof(f963,plain,
( ~ mem(ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1)),ty_2Efcp_2Ecart(bool,sK0))
| ~ ne(sK0)
| spl16_18 ),
inference(resolution,[],[f956,f114]) ).
fof(f114,plain,
! [X0] :
( mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ne(X0)
=> mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0))) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Ewords_2Eword__2comp(X10),arr(ty_2Efcp_2Ecart(bool,X10),ty_2Efcp_2Ecart(bool,X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ewords_2Eword__2comp) ).
fof(f956,plain,
( ! [X0] :
( ~ mem(c_2Ewords_2Eword__2comp(sK0),arr(X0,ty_2Efcp_2Ecart(bool,sK0)))
| ~ mem(ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1)),X0) )
| spl16_18 ),
inference(resolution,[],[f940,f104]) ).
fof(f940,plain,
( ~ mem(ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))),ty_2Efcp_2Ecart(bool,sK0))
| spl16_18 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl16_18
<=> mem(ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))),ty_2Efcp_2Ecart(bool,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f950,plain,
spl16_17,
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| spl16_17 ),
inference(subsumption_resolution,[],[f948,f103]) ).
fof(f103,plain,
ne(bool),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne) ).
fof(f948,plain,
( ~ ne(bool)
| spl16_17 ),
inference(subsumption_resolution,[],[f947,f96]) ).
fof(f947,plain,
( ~ ne(sK0)
| ~ ne(bool)
| spl16_17 ),
inference(resolution,[],[f936,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ne(ty_2Efcp_2Ecart(X0,X1))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ne(ty_2Efcp_2Ecart(X0,X1))
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ne(ty_2Efcp_2Ecart(X0,X1)) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X8] :
( ne(X8)
=> ! [X9] :
( ne(X9)
=> ne(ty_2Efcp_2Ecart(X8,X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Efcp_2Ecart) ).
fof(f936,plain,
( ~ ne(ty_2Efcp_2Ecart(bool,sK0))
| spl16_17 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl16_17
<=> ne(ty_2Efcp_2Ecart(bool,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f945,plain,
( ~ spl16_17
| ~ spl16_18
| spl16_19
| ~ spl16_3
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f882,f692,f232,f942,f938,f934]) ).
fof(f232,plain,
( spl16_3
<=> ! [X2,X1,X3] :
( ~ ne(X1)
| ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2))))
| ~ mem(X3,ty_2Enum_2Enum)
| ~ mem(X2,ty_2Enum_2Enum) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f692,plain,
( spl16_15
<=> mem(ap(sF6,sF14),ty_2Efcp_2Ecart(bool,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f882,plain,
( ap(sF6,sF14) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))),ty_2Efcp_2Ecart(bool,sK0))
| ~ ne(ty_2Efcp_2Ecart(bool,sK0))
| ~ spl16_3
| ~ spl16_15 ),
inference(subsumption_resolution,[],[f879,f693]) ).
fof(f693,plain,
( mem(ap(sF6,sF14),ty_2Efcp_2Ecart(bool,sK0))
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f879,plain,
( ap(sF6,sF14) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9))
| ~ mem(ap(sF6,sF14),ty_2Efcp_2Ecart(bool,sK0))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))),ty_2Efcp_2Ecart(bool,sK0))
| ~ ne(ty_2Efcp_2Ecart(bool,sK0))
| ~ spl16_3 ),
inference(superposition,[],[f588,f117]) ).
fof(f117,plain,
! [X3,X0,X4] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X3),X4) = X3
| ~ mem(X3,X0)
| ~ mem(X4,X0)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2
| ~ mem(X2,X0) )
| ~ mem(X1,X0) )
& ! [X3] :
( ! [X4] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X3),X4) = X3
| ~ mem(X4,X0) )
| ~ mem(X3,X0) ) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ne(X0)
=> ( ! [X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 ) )
& ! [X3] :
( mem(X3,X0)
=> ! [X4] :
( mem(X4,X0)
=> ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X3),X4) = X3 ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X10] :
( ne(X10)
=> ( ! [X26] :
( mem(X26,X10)
=> ! [X27] :
( mem(X27,X10)
=> ap(ap(ap(c_2Ebool_2ECOND(X10),c_2Ebool_2EF),X26),X27) = X27 ) )
& ! [X14] :
( mem(X14,X10)
=> ! [X15] :
( mem(X15,X10)
=> ap(ap(ap(c_2Ebool_2ECOND(X10),c_2Ebool_2ET),X14),X15) = X14 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2Ebool__case__thm) ).
fof(f588,plain,
( ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),c_2Ebool_2ET),ap(sF6,sF14)),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))))
| ~ spl16_3 ),
inference(forward_demodulation,[],[f587,f411]) ).
fof(f411,plain,
c_2Ebool_2ET = ap(sF11,sK1),
inference(subsumption_resolution,[],[f407,f155]) ).
fof(f155,plain,
p(ap(sF11,sK1)),
inference(backward_demodulation,[],[f145,f144]) ).
fof(f144,plain,
ap(sF11,sK1) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f145,plain,
p(sF12),
inference(definition_folding,[],[f93,f144,f143]) ).
fof(f143,plain,
ap(c_2Earithmetic_2E_3C_3D,sK2) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f93,plain,
p(ap(ap(c_2Earithmetic_2E_3C_3D,sK2),sK1)),
inference(cnf_transformation,[],[f66]) ).
fof(f407,plain,
( ~ p(ap(sF11,sK1))
| c_2Ebool_2ET = ap(sF11,sK1) ),
inference(resolution,[],[f391,f95]) ).
fof(f391,plain,
! [X0] :
( ~ mem(X0,ty_2Enum_2Enum)
| ~ p(ap(sF11,X0))
| c_2Ebool_2ET = ap(sF11,X0) ),
inference(subsumption_resolution,[],[f388,f126]) ).
fof(f126,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
fof(f388,plain,
! [X0] :
( ~ mem(X0,ty_2Enum_2Enum)
| ~ p(c_2Ebool_2ET)
| ~ p(ap(sF11,X0))
| c_2Ebool_2ET = ap(sF11,X0) ),
inference(resolution,[],[f351,f127]) ).
fof(f127,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
fof(f351,plain,
! [X0,X1] :
( ~ mem(X1,bool)
| ~ mem(X0,ty_2Enum_2Enum)
| ~ p(X1)
| ~ p(ap(sF11,X0))
| ap(sF11,X0) = X1 ),
inference(resolution,[],[f167,f194]) ).
fof(f194,plain,
mem(sF11,arr(ty_2Enum_2Enum,bool)),
inference(subsumption_resolution,[],[f193,f92]) ).
fof(f193,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| mem(sF11,arr(ty_2Enum_2Enum,bool)) ),
inference(resolution,[],[f169,f111]) ).
fof(f111,plain,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Earithmetic_2E_3C_3D) ).
fof(f169,plain,
! [X0,X1] :
( ~ mem(c_2Earithmetic_2E_3C_3D,arr(X1,X0))
| ~ mem(sK2,X1)
| mem(sF11,X0) ),
inference(superposition,[],[f104,f143]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ mem(X2,arr(X1,bool))
| ~ mem(X0,X1)
| ~ mem(X3,bool)
| ~ p(X3)
| ~ p(ap(X2,X0))
| ap(X2,X0) = X3 ),
inference(resolution,[],[f104,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ mem(X0,bool)
| ~ mem(X1,bool)
| ~ p(X1)
| ~ p(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X0)
<=> p(X1) )
=> X0 = X1 ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( ( p(X4)
<=> p(X5) )
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
fof(f587,plain,
( ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,sK1)),ap(sF6,sF14)),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))))
| ~ spl16_3 ),
inference(forward_demodulation,[],[f586,f147]) ).
fof(f586,plain,
( ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,sK1)),ap(sF6,ap(sF13,sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1))))
| ~ spl16_3 ),
inference(forward_demodulation,[],[f585,f146]) ).
fof(f585,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,sK1)),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK1),sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1)))) = ap(ap(c_2Ewords_2Eword__add(sK0),sF7),ap(c_2Ewords_2Eword__2comp(sK0),sF9))
| ~ spl16_3 ),
inference(forward_demodulation,[],[f579,f138]) ).
fof(f579,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,sK1)),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK1),sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),sK1)))) = ap(ap(c_2Ewords_2Eword__add(sK0),ap(sF6,sK1)),ap(c_2Ewords_2Eword__2comp(sK0),sF9))
| ~ spl16_3 ),
inference(resolution,[],[f336,f95]) ).
fof(f336,plain,
( ! [X0] :
( ~ mem(X0,ty_2Enum_2Enum)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,X0)),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,X0),sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),X0)))) = ap(ap(c_2Ewords_2Eword__add(sK0),ap(sF6,X0)),ap(c_2Ewords_2Eword__2comp(sK0),sF9)) )
| ~ spl16_3 ),
inference(forward_demodulation,[],[f335,f140]) ).
fof(f335,plain,
( ! [X0] :
( ap(ap(c_2Ewords_2Eword__add(sK0),ap(sF6,X0)),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,sK2))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,X0)),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,X0),sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),X0))))
| ~ mem(X0,ty_2Enum_2Enum) )
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f331,f96]) ).
fof(f331,plain,
( ! [X0] :
( ap(ap(c_2Ewords_2Eword__add(sK0),ap(sF6,X0)),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,sK2))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,sK0)),ap(sF11,X0)),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,X0),sK2))),ap(c_2Ewords_2Eword__2comp(sK0),ap(sF6,ap(ap(c_2Earithmetic_2E_2D,sK2),X0))))
| ~ ne(sK0)
| ~ mem(X0,ty_2Enum_2Enum) )
| ~ spl16_3 ),
inference(superposition,[],[f328,f137]) ).
fof(f328,plain,
( ! [X0,X1] :
( ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),sK2))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(sF11,X1)),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),sK2))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,sK2),X1))))
| ~ ne(X0)
| ~ mem(X1,ty_2Enum_2Enum) )
| ~ spl16_3 ),
inference(forward_demodulation,[],[f324,f143]) ).
fof(f324,plain,
( ! [X0,X1] :
( ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),sK2))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X0)),ap(ap(c_2Earithmetic_2E_3C_3D,sK2),X1)),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),sK2))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,sK2),X1))))
| ~ ne(X0)
| ~ mem(X1,ty_2Enum_2Enum) )
| ~ spl16_3 ),
inference(resolution,[],[f233,f92]) ).
fof(f233,plain,
( ! [X2,X3,X1] :
( ~ mem(X3,ty_2Enum_2Enum)
| ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2))))
| ~ ne(X1)
| ~ mem(X2,ty_2Enum_2Enum) )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f710,plain,
spl16_15,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| spl16_15 ),
inference(subsumption_resolution,[],[f708,f347]) ).
fof(f347,plain,
mem(sF14,ty_2Enum_2Enum),
inference(subsumption_resolution,[],[f346,f92]) ).
fof(f346,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| mem(sF14,ty_2Enum_2Enum) ),
inference(resolution,[],[f173,f178]) ).
fof(f178,plain,
mem(sF13,arr(ty_2Enum_2Enum,ty_2Enum_2Enum)),
inference(subsumption_resolution,[],[f177,f95]) ).
fof(f177,plain,
( ~ mem(sK1,ty_2Enum_2Enum)
| mem(sF13,arr(ty_2Enum_2Enum,ty_2Enum_2Enum)) ),
inference(resolution,[],[f168,f110]) ).
fof(f168,plain,
! [X0,X1] :
( ~ mem(c_2Earithmetic_2E_2D,arr(X1,X0))
| ~ mem(sK1,X1)
| mem(sF13,X0) ),
inference(superposition,[],[f104,f146]) ).
fof(f173,plain,
! [X0,X1] :
( ~ mem(sF13,arr(X1,X0))
| ~ mem(sK2,X1)
| mem(sF14,X0) ),
inference(superposition,[],[f104,f147]) ).
fof(f708,plain,
( ~ mem(sF14,ty_2Enum_2Enum)
| spl16_15 ),
inference(resolution,[],[f707,f158]) ).
fof(f707,plain,
( ! [X0] :
( ~ mem(sF6,arr(X0,ty_2Efcp_2Ecart(bool,sK0)))
| ~ mem(sF14,X0) )
| spl16_15 ),
inference(resolution,[],[f694,f104]) ).
fof(f694,plain,
( ~ mem(ap(sF6,sF14),ty_2Efcp_2Ecart(bool,sK0))
| spl16_15 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f242,plain,
~ spl16_1,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl16_1 ),
inference(subsumption_resolution,[],[f96,f223]) ).
fof(f223,plain,
( ! [X1] : ~ ne(X1)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl16_1
<=> ! [X1] : ~ ne(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f234,plain,
( spl16_3
| spl16_1 ),
inference(avatar_split_clause,[],[f108,f222,f232]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( ~ ne(X0)
| ~ ne(X1)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X3,ty_2Enum_2Enum)
| ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2)))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2))))
| ~ mem(X3,ty_2Enum_2Enum) )
| ~ mem(X2,ty_2Enum_2Enum) )
& ! [X4] :
( ! [X5] :
( ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X4))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X5))) = ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2B,X4),X5)))
| ~ mem(X5,ty_2Enum_2Enum) )
| ~ mem(X4,ty_2Enum_2Enum) ) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ( ! [X2] :
( mem(X2,ty_2Enum_2Enum)
=> ! [X3] :
( mem(X3,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2)))) ) )
& ! [X4] :
( mem(X4,ty_2Enum_2Enum)
=> ! [X5] :
( mem(X5,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X4))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X5))) = ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2B,X4),X5))) ) ) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X10] :
( ne(X10)
=> ! [X30] :
( ne(X30)
=> ( ! [X33] :
( mem(X33,ty_2Enum_2Enum)
=> ! [X34] :
( mem(X34,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X30),ap(c_2Ewords_2En2w(X30),X33)),ap(c_2Ewords_2Eword__2comp(X30),ap(c_2Ewords_2En2w(X30),X34))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X30)),ap(ap(c_2Earithmetic_2E_3C_3D,X34),X33)),ap(c_2Ewords_2En2w(X30),ap(ap(c_2Earithmetic_2E_2D,X33),X34))),ap(c_2Ewords_2Eword__2comp(X30),ap(c_2Ewords_2En2w(X30),ap(ap(c_2Earithmetic_2E_2D,X34),X33)))) ) )
& ! [X31] :
( mem(X31,ty_2Enum_2Enum)
=> ! [X32] :
( mem(X32,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X10),ap(c_2Ewords_2Eword__2comp(X10),ap(c_2Ewords_2En2w(X10),X31))),ap(c_2Ewords_2Eword__2comp(X10),ap(c_2Ewords_2En2w(X10),X32))) = ap(c_2Ewords_2Eword__2comp(X10),ap(c_2Ewords_2En2w(X10),ap(ap(c_2Earithmetic_2E_2B,X31),X32))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ewords_2EWORD__LITERAL__ADD) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP013+2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n006.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 15:41:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.73 % (13971)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.51/0.74 % (13964)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.51/0.74 % (13966)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.74 % (13965)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.51/0.74 % (13968)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.51/0.74 % (13969)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.74 % (13967)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.74 % (13970)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.51/0.74 % (13971)Refutation not found, incomplete strategy% (13971)------------------------------
% 0.51/0.74 % (13971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.74 % (13971)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.74
% 0.51/0.74 % (13971)Memory used [KB]: 1150
% 0.51/0.74 % (13971)Time elapsed: 0.003 s
% 0.51/0.74 % (13971)Instructions burned: 5 (million)
% 0.51/0.74 % (13971)------------------------------
% 0.51/0.74 % (13971)------------------------------
% 0.57/0.74 % (13969)Refutation not found, incomplete strategy% (13969)------------------------------
% 0.57/0.74 % (13969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (13969)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (13969)Memory used [KB]: 1128
% 0.57/0.74 % (13969)Time elapsed: 0.004 s
% 0.57/0.74 % (13969)Instructions burned: 4 (million)
% 0.57/0.74 % (13969)------------------------------
% 0.57/0.74 % (13969)------------------------------
% 0.57/0.74 % (13972)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (13973)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.57/0.75 % (13967)Instruction limit reached!
% 0.57/0.75 % (13967)------------------------------
% 0.57/0.75 % (13967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (13967)Termination reason: Unknown
% 0.57/0.75 % (13967)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (13967)Memory used [KB]: 1429
% 0.57/0.75 % (13967)Time elapsed: 0.019 s
% 0.57/0.75 % (13967)Instructions burned: 33 (million)
% 0.57/0.75 % (13967)------------------------------
% 0.57/0.75 % (13967)------------------------------
% 0.57/0.75 % (13964)Instruction limit reached!
% 0.57/0.75 % (13964)------------------------------
% 0.57/0.75 % (13964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (13964)Termination reason: Unknown
% 0.57/0.75 % (13964)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (13964)Memory used [KB]: 1355
% 0.57/0.75 % (13964)Time elapsed: 0.020 s
% 0.57/0.75 % (13964)Instructions burned: 34 (million)
% 0.57/0.75 % (13964)------------------------------
% 0.57/0.75 % (13964)------------------------------
% 0.57/0.75 % (13968)Instruction limit reached!
% 0.57/0.75 % (13968)------------------------------
% 0.57/0.75 % (13968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (13968)Termination reason: Unknown
% 0.57/0.75 % (13968)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (13968)Memory used [KB]: 1416
% 0.57/0.75 % (13968)Time elapsed: 0.020 s
% 0.57/0.75 % (13968)Instructions burned: 34 (million)
% 0.57/0.75 % (13968)------------------------------
% 0.57/0.75 % (13968)------------------------------
% 0.57/0.75 % (13972)Instruction limit reached!
% 0.57/0.75 % (13972)------------------------------
% 0.57/0.75 % (13972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (13972)Termination reason: Unknown
% 0.57/0.75 % (13972)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (13972)Memory used [KB]: 2343
% 0.57/0.75 % (13972)Time elapsed: 0.017 s
% 0.57/0.75 % (13972)Instructions burned: 56 (million)
% 0.57/0.75 % (13972)------------------------------
% 0.57/0.75 % (13972)------------------------------
% 0.57/0.76 % (13974)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.76 % (13977)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.57/0.76 % (13975)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.76 % (13976)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.57/0.76 % (13977)Refutation not found, incomplete strategy% (13977)------------------------------
% 0.57/0.76 % (13977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (13977)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (13977)Memory used [KB]: 1180
% 0.57/0.76 % (13977)Time elapsed: 0.003 s
% 0.57/0.76 % (13977)Instructions burned: 9 (million)
% 0.57/0.76 % (13977)------------------------------
% 0.57/0.76 % (13977)------------------------------
% 0.66/0.76 % (13978)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.66/0.76 % (13976)Refutation not found, incomplete strategy% (13976)------------------------------
% 0.66/0.76 % (13976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76 % (13976)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.76
% 0.66/0.76 % (13976)Memory used [KB]: 1231
% 0.66/0.76 % (13976)Time elapsed: 0.007 s
% 0.66/0.76 % (13976)Instructions burned: 10 (million)
% 0.66/0.76 % (13976)------------------------------
% 0.66/0.76 % (13976)------------------------------
% 0.66/0.77 % (13965)Instruction limit reached!
% 0.66/0.77 % (13965)------------------------------
% 0.66/0.77 % (13965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (13965)Termination reason: Unknown
% 0.66/0.77 % (13965)Termination phase: Saturation
% 0.66/0.77
% 0.66/0.77 % (13965)Memory used [KB]: 1548
% 0.66/0.77 % (13965)Time elapsed: 0.032 s
% 0.66/0.77 % (13965)Instructions burned: 51 (million)
% 0.66/0.77 % (13965)------------------------------
% 0.66/0.77 % (13965)------------------------------
% 0.66/0.77 % (13979)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.66/0.77 % (13973)Instruction limit reached!
% 0.66/0.77 % (13973)------------------------------
% 0.66/0.77 % (13973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (13973)Termination reason: Unknown
% 0.66/0.77 % (13973)Termination phase: Saturation
% 0.66/0.77
% 0.66/0.77 % (13973)Memory used [KB]: 1651
% 0.66/0.77 % (13973)Time elapsed: 0.027 s
% 0.66/0.77 % (13973)Instructions burned: 51 (million)
% 0.66/0.77 % (13973)------------------------------
% 0.66/0.77 % (13973)------------------------------
% 0.66/0.77 % (13980)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.66/0.77 % (13981)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.66/0.78 % (13970)Instruction limit reached!
% 0.66/0.78 % (13970)------------------------------
% 0.66/0.78 % (13970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78 % (13970)Termination reason: Unknown
% 0.66/0.78 % (13970)Termination phase: Saturation
% 0.66/0.78
% 0.66/0.78 % (13970)Memory used [KB]: 2553
% 0.66/0.78 % (13970)Time elapsed: 0.043 s
% 0.66/0.78 % (13970)Instructions burned: 85 (million)
% 0.66/0.78 % (13970)------------------------------
% 0.66/0.78 % (13970)------------------------------
% 0.66/0.78 % (13982)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.66/0.78 % (13966)Instruction limit reached!
% 0.66/0.78 % (13966)------------------------------
% 0.66/0.78 % (13966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78 % (13966)Termination reason: Unknown
% 0.66/0.78 % (13966)Termination phase: Saturation
% 0.66/0.78
% 0.66/0.78 % (13966)Memory used [KB]: 1936
% 0.66/0.78 % (13966)Time elapsed: 0.048 s
% 0.66/0.78 % (13966)Instructions burned: 78 (million)
% 0.66/0.78 % (13966)------------------------------
% 0.66/0.78 % (13966)------------------------------
% 0.66/0.79 % (13983)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.66/0.79 % (13975)Instruction limit reached!
% 0.66/0.79 % (13975)------------------------------
% 0.66/0.79 % (13975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79 % (13975)Termination reason: Unknown
% 0.66/0.79 % (13975)Termination phase: Saturation
% 0.66/0.79
% 0.66/0.79 % (13975)Memory used [KB]: 1762
% 0.66/0.79 % (13975)Time elapsed: 0.035 s
% 0.66/0.79 % (13975)Instructions burned: 52 (million)
% 0.66/0.79 % (13975)------------------------------
% 0.66/0.79 % (13975)------------------------------
% 0.66/0.79 % (13984)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.66/0.81 % (13983)Instruction limit reached!
% 0.66/0.81 % (13983)------------------------------
% 0.66/0.81 % (13983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (13983)Termination reason: Unknown
% 0.66/0.81 % (13983)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (13983)Memory used [KB]: 1399
% 0.66/0.81 % (13983)Time elapsed: 0.021 s
% 0.66/0.81 % (13983)Instructions burned: 32 (million)
% 0.66/0.81 % (13983)------------------------------
% 0.66/0.81 % (13983)------------------------------
% 0.66/0.81 % (13985)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.66/0.81 % (13982)Instruction limit reached!
% 0.66/0.81 % (13982)------------------------------
% 0.66/0.81 % (13982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (13982)Termination reason: Unknown
% 0.66/0.81 % (13982)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (13982)Memory used [KB]: 2007
% 0.66/0.81 % (13982)Time elapsed: 0.034 s
% 0.66/0.81 % (13982)Instructions burned: 63 (million)
% 0.66/0.81 % (13982)------------------------------
% 0.66/0.81 % (13982)------------------------------
% 0.66/0.82 % (13986)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.66/0.82 % (13979)Instruction limit reached!
% 0.66/0.82 % (13979)------------------------------
% 0.66/0.82 % (13979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (13979)Termination reason: Unknown
% 0.66/0.82 % (13979)Termination phase: Saturation
% 0.66/0.82
% 0.66/0.82 % (13979)Memory used [KB]: 1784
% 0.66/0.82 % (13979)Time elapsed: 0.053 s
% 0.66/0.82 % (13979)Instructions burned: 118 (million)
% 0.66/0.82 % (13979)------------------------------
% 0.66/0.82 % (13979)------------------------------
% 0.98/0.82 % (13987)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.98/0.82 % (13978)First to succeed.
% 0.98/0.83 % (13978)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13963"
% 0.98/0.83 % (13978)Refutation found. Thanks to Tanya!
% 0.98/0.83 % SZS status Theorem for theBenchmark
% 0.98/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.83 % (13978)------------------------------
% 0.98/0.83 % (13978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.83 % (13978)Termination reason: Refutation
% 0.98/0.83
% 0.98/0.83 % (13978)Memory used [KB]: 2206
% 0.98/0.83 % (13978)Time elapsed: 0.064 s
% 0.98/0.83 % (13978)Instructions burned: 186 (million)
% 0.98/0.83 % (13963)Success in time 0.456 s
% 0.98/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------