TSTP Solution File: HWV010-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV010-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 06:32:52 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 81
% Syntax : Number of formulae : 136 ( 56 unt; 0 def)
% Number of atoms : 248 ( 38 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 203 ( 91 ~; 71 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 42 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f151,f156,f161,f165,f170,f174,f179,f183,f187,f191,f195,f199,f203,f210,f214,f218,f222,f226,f230,f235,f239,f243,f247,f251,f255,f261,f265,f269,f273,f277,f281,f285,f289,f293,f297,f301,f305,f309,f313,f317,f322]) ).
fof(f322,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f318,f275,f143,f148]) ).
fof(f148,plain,
( spl0_2
<=> n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f143,plain,
( spl0_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f275,plain,
( spl0_31
<=> ! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f318,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_1
| ~ spl0_31 ),
inference(resolution,[],[f276,f145]) ).
fof(f145,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f276,plain,
( ! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f317,plain,
spl0_41,
inference(avatar_split_clause,[],[f139,f315]) ).
fof(f315,plain,
( spl0_41
<=> ! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f139,plain,
! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62,
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X62,X63,X61] :
( n0 != X61
| f__index_(f__cons_(X62,X63),X61) = X62 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(f313,plain,
spl0_40,
inference(avatar_split_clause,[],[f133,f311]) ).
fof(f311,plain,
( spl0_40
<=> ! [X121,X120] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f133,axiom,
! [X120,X121] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_134) ).
fof(f309,plain,
spl0_39,
inference(avatar_split_clause,[],[f132,f307]) ).
fof(f307,plain,
( spl0_39
<=> ! [X121,X120] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f132,axiom,
! [X120,X121] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
fof(f305,plain,
spl0_38,
inference(avatar_split_clause,[],[f131,f303]) ).
fof(f303,plain,
( spl0_38
<=> ! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f131,axiom,
! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f301,plain,
spl0_37,
inference(avatar_split_clause,[],[f130,f299]) ).
fof(f299,plain,
( spl0_37
<=> ! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f130,axiom,
! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
fof(f297,plain,
spl0_36,
inference(avatar_split_clause,[],[f129,f295]) ).
fof(f295,plain,
( spl0_36
<=> ! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f129,axiom,
! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
fof(f293,plain,
spl0_35,
inference(avatar_split_clause,[],[f128,f291]) ).
fof(f291,plain,
( spl0_35
<=> ! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f128,axiom,
! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
fof(f289,plain,
spl0_34,
inference(avatar_split_clause,[],[f127,f287]) ).
fof(f287,plain,
( spl0_34
<=> ! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f127,axiom,
! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
fof(f285,plain,
spl0_33,
inference(avatar_split_clause,[],[f126,f283]) ).
fof(f283,plain,
( spl0_33
<=> ! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f126,axiom,
! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(f281,plain,
spl0_32,
inference(avatar_split_clause,[],[f102,f279]) ).
fof(f279,plain,
( spl0_32
<=> ! [X100,X99] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f102,axiom,
! [X99,X100] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(f277,plain,
spl0_31,
inference(avatar_split_clause,[],[f8,f275]) ).
fof(f8,axiom,
! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f273,plain,
spl0_30,
inference(avatar_split_clause,[],[f7,f271]) ).
fof(f271,plain,
( spl0_30
<=> ! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f7,axiom,
! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f269,plain,
spl0_29,
inference(avatar_split_clause,[],[f6,f267]) ).
fof(f267,plain,
( spl0_29
<=> ! [X3] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f6,axiom,
! [X3] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f265,plain,
spl0_28,
inference(avatar_split_clause,[],[f5,f263]) ).
fof(f263,plain,
( spl0_28
<=> ! [X2] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f5,axiom,
! [X2] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f261,plain,
( ~ spl0_27
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f205,f193,f185,f258]) ).
fof(f258,plain,
( spl0_27
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f185,plain,
( spl0_10
<=> ! [X27] : n0 != f_ADD_(X27,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f193,plain,
( spl0_12
<=> ! [X51] : f_ADD_(n0,X51) = X51 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f205,plain,
( n1 != n0
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f186,f194]) ).
fof(f194,plain,
( ! [X51] : f_ADD_(n0,X51) = X51
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f186,plain,
( ! [X27] : n0 != f_ADD_(X27,n1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f255,plain,
spl0_26,
inference(avatar_split_clause,[],[f118,f253]) ).
fof(f253,plain,
( spl0_26
<=> ! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f118,axiom,
! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
fof(f251,plain,
spl0_25,
inference(avatar_split_clause,[],[f117,f249]) ).
fof(f249,plain,
( spl0_25
<=> ! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f117,axiom,
! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
fof(f247,plain,
spl0_24,
inference(avatar_split_clause,[],[f116,f245]) ).
fof(f245,plain,
( spl0_24
<=> ! [X107,X108] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f116,axiom,
! [X108,X107] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
fof(f243,plain,
spl0_23,
inference(avatar_split_clause,[],[f115,f241]) ).
fof(f241,plain,
( spl0_23
<=> ! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f115,axiom,
! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
fof(f239,plain,
spl0_22,
inference(avatar_split_clause,[],[f109,f237]) ).
fof(f237,plain,
( spl0_22
<=> ! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f109,axiom,
! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(f235,plain,
( ~ spl0_21
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f204,f193,f189,f232]) ).
fof(f232,plain,
( spl0_21
<=> p_LES_EQU_(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f189,plain,
( spl0_11
<=> ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f204,plain,
( ~ p_LES_EQU_(n1,n0)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f190,f194]) ).
fof(f190,plain,
( ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f230,plain,
spl0_20,
inference(avatar_split_clause,[],[f108,f228]) ).
fof(f228,plain,
( spl0_20
<=> ! [X103,X104] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f108,axiom,
! [X104,X103] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
fof(f226,plain,
spl0_19,
inference(avatar_split_clause,[],[f105,f224]) ).
fof(f224,plain,
( spl0_19
<=> ! [X102,X101] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f105,axiom,
! [X101,X102] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
fof(f222,plain,
spl0_18,
inference(avatar_split_clause,[],[f104,f220]) ).
fof(f220,plain,
( spl0_18
<=> ! [X102,X101] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f104,axiom,
! [X101,X102] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
fof(f218,plain,
spl0_17,
inference(avatar_split_clause,[],[f82,f216]) ).
fof(f216,plain,
( spl0_17
<=> ! [X60,X59] : f__index_(f__others_(X59),X60) = X59 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f82,axiom,
! [X59,X60] : f__index_(f__others_(X59),X60) = X59,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
fof(f214,plain,
spl0_16,
inference(avatar_split_clause,[],[f72,f212]) ).
fof(f212,plain,
( spl0_16
<=> ! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f72,axiom,
! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(f210,plain,
spl0_15,
inference(avatar_split_clause,[],[f64,f208]) ).
fof(f208,plain,
( spl0_15
<=> ! [X30,X31] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f64,axiom,
! [X31,X30] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f203,plain,
spl0_14,
inference(avatar_split_clause,[],[f125,f201]) ).
fof(f201,plain,
( spl0_14
<=> ! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f125,axiom,
! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
fof(f199,plain,
spl0_13,
inference(avatar_split_clause,[],[f124,f197]) ).
fof(f197,plain,
( spl0_13
<=> ! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f124,axiom,
! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).
fof(f195,plain,
spl0_12,
inference(avatar_split_clause,[],[f76,f193]) ).
fof(f76,axiom,
! [X51] : f_ADD_(n0,X51) = X51,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f191,plain,
spl0_11,
inference(avatar_split_clause,[],[f59,f189]) ).
fof(f59,axiom,
! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f187,plain,
spl0_10,
inference(avatar_split_clause,[],[f58,f185]) ).
fof(f58,axiom,
! [X27] : n0 != f_ADD_(X27,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f183,plain,
spl0_9,
inference(avatar_split_clause,[],[f138,f181]) ).
fof(f181,plain,
( spl0_9
<=> ! [X100] : p__pred_(f__equal_(X100,X100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f138,plain,
! [X100] : p__pred_(f__equal_(X100,X100)),
inference(equality_resolution,[],[f103]) ).
fof(f103,axiom,
! [X99,X100] :
( X99 != X100
| p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
fof(f179,plain,
spl0_8,
inference(avatar_split_clause,[],[f79,f176]) ).
fof(f176,plain,
( spl0_8
<=> n0 = f__length_(f__empty_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f79,axiom,
n0 = f__length_(f__empty_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f174,plain,
spl0_7,
inference(avatar_split_clause,[],[f137,f172]) ).
fof(f172,plain,
( spl0_7
<=> ! [X31] : ~ def_89(X31,X31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f137,plain,
! [X31] : ~ def_89(X31,X31),
inference(equality_resolution,[],[f63]) ).
fof(f63,axiom,
! [X31,X30] :
( X30 != X31
| ~ def_89(X30,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f170,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f97,f167]) ).
fof(f167,plain,
( spl0_6
<=> f__true_ = f__false_ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f97,axiom,
f__true_ != f__false_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
fof(f165,plain,
spl0_5,
inference(avatar_split_clause,[],[f74,f163]) ).
fof(f163,plain,
( spl0_5
<=> ! [X48] : p_LES_EQU_(X48,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f74,axiom,
! [X48] : p_LES_EQU_(X48,X48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(f161,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f96,f158]) ).
fof(f158,plain,
( spl0_4
<=> p__pred_(f__false_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f96,axiom,
~ p__pred_(f__false_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).
fof(f156,plain,
spl0_3,
inference(avatar_split_clause,[],[f95,f153]) ).
fof(f153,plain,
( spl0_3
<=> p__pred_(f__true_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f95,axiom,
p__pred_(f__true_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).
fof(f151,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f136,f148]) ).
fof(f136,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f134,f4]) ).
fof(f4,axiom,
! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f134,axiom,
n0 != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f146,plain,
spl0_1,
inference(avatar_split_clause,[],[f135,f143]) ).
fof(f135,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.22 % Problem : HWV010-2 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.24 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.46 % Computer : n008.cluster.edu
% 0.14/0.46 % Model : x86_64 x86_64
% 0.14/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.46 % Memory : 8042.1875MB
% 0.14/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.46 % CPULimit : 300
% 0.14/0.46 % WCLimit : 300
% 0.14/0.46 % DateTime : Fri May 3 21:35:23 EDT 2024
% 0.14/0.46 % CPUTime :
% 0.14/0.46 % (6851)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (6856)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)
% 0.21/0.48 % (6857)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)
% 0.21/0.49 % (6858)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)
% 0.21/0.49 % (6854)WARNING: value z3 for option sas not known
% 0.21/0.49 % (6855)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.49 % (6853)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.49 % (6854)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)
% 0.21/0.49 % (6852)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.49 % (6856)First to succeed.
% 0.21/0.49 % (6857)Also succeeded, but the first one will report.
% 0.21/0.49 % (6856)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6851"
% 0.21/0.49 % (6856)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (6856)------------------------------
% 0.21/0.49 % (6856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (6856)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (6856)Memory used [KB]: 1013
% 0.21/0.49 % (6856)Time elapsed: 0.009 s
% 0.21/0.49 % (6856)Instructions burned: 16 (million)
% 0.21/0.49 % (6851)Success in time 0.028 s
%------------------------------------------------------------------------------