TSTP Solution File: HWV033-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.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 : Thu Aug 31 02:33:15 EDT 2023
% Result : Unsatisfiable 1.55s 0.60s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 184 ( 25 unt; 0 def)
% Number of atoms : 506 ( 110 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 536 ( 214 ~; 305 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 18 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7645,plain,
$false,
inference(avatar_sat_refutation,[],[f1184,f1187,f1204,f3030,f3078,f4672,f4898,f5411,f5885,f6418,f6445,f6570,f6732,f6865,f7052,f7316,f7636,f7638]) ).
fof(f7638,plain,
( spl4_89
| spl4_91 ),
inference(avatar_contradiction_clause,[],[f7637]) ).
fof(f7637,plain,
( $false
| spl4_89
| spl4_91 ),
inference(subsumption_resolution,[],[f99,f7624]) ).
fof(f7624,plain,
( gt(sF0,sF1)
| spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f102,f7600]) ).
fof(f7600,plain,
( sF0 = sF3
| spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f101,f7588]) ).
fof(f7588,plain,
( sF0 = rd_level(sF2)
| spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f7541,f97]) ).
fof(f97,plain,
rd_level(t_139) = sF0,
introduced(function_definition,[]) ).
fof(f7541,plain,
( rd_level(t_139) = rd_level(sF2)
| spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f7540,f100]) ).
fof(f100,plain,
plus(t_139,n1) = sF2,
introduced(function_definition,[]) ).
fof(f7540,plain,
( rd_level(t_139) = rd_level(plus(t_139,n1))
| spl4_89
| spl4_91 ),
inference(subsumption_resolution,[],[f7512,f2424]) ).
fof(f2424,plain,
( ~ p_Reset(t_139)
| spl4_91 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f2423,plain,
( spl4_91
<=> p_Reset(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f7512,plain,
( p_Reset(t_139)
| rd_level(t_139) = rd_level(plus(t_139,n1))
| spl4_89 ),
inference(resolution,[],[f2409,f125]) ).
fof(f125,plain,
! [X34] :
( gt(int_level(X34),n0)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
inference(subsumption_resolution,[],[f124,f110]) ).
fof(f110,plain,
! [X34] :
( gt(int_level(X34),n0)
| p_Reset(X34)
| ~ p_Wr(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
inference(subsumption_resolution,[],[f60,f33]) ).
fof(f33,axiom,
! [X34] :
( p_Rd(X34)
| ~ p_Wr(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_33) ).
fof(f60,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_60) ).
fof(f124,plain,
! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
inference(subsumption_resolution,[],[f77,f105]) ).
fof(f105,plain,
! [X34] :
( p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
inference(subsumption_resolution,[],[f81,f33]) ).
fof(f81,axiom,
! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_81) ).
fof(f77,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_77) ).
fof(f2409,plain,
( ~ gt(int_level(t_139),n0)
| spl4_89 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f2407,plain,
( spl4_89
<=> gt(int_level(t_139),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f101,plain,
rd_level(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f102,plain,
gt(sF3,sF1),
inference(definition_folding,[],[f92,f98,f101,f100]) ).
fof(f98,plain,
minus(fifo_length,n1) = sF1,
introduced(function_definition,[]) ).
fof(f92,axiom,
gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',quest_2) ).
fof(f99,plain,
~ gt(sF0,sF1),
inference(definition_folding,[],[f91,f98,f97]) ).
fof(f91,axiom,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',quest_1) ).
fof(f7636,plain,
( spl4_31
| spl4_41 ),
inference(avatar_split_clause,[],[f7635,f1177,f639]) ).
fof(f639,plain,
( spl4_31
<=> fifo_length = plus(sF1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f1177,plain,
( spl4_41
<=> def_10(n1,fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f7635,plain,
( fifo_length = plus(sF1,n1)
| spl4_41 ),
inference(backward_demodulation,[],[f7420,f98]) ).
fof(f7420,plain,
( fifo_length = plus(minus(fifo_length,n1),n1)
| spl4_41 ),
inference(resolution,[],[f1178,f95]) ).
fof(f95,plain,
! [X3,X4] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ),
inference(equality_resolution,[],[f4]) ).
fof(f4,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| minus(X3,X4) != X5
| plus(X5,X4) = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_4) ).
fof(f1178,plain,
( ~ def_10(n1,fifo_length)
| spl4_41 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f7316,plain,
( ~ spl4_89
| ~ spl4_2
| ~ spl4_88
| spl4_175 ),
inference(avatar_split_clause,[],[f7315,f4436,f2403,f187,f2407]) ).
fof(f187,plain,
( spl4_2
<=> sF0 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f2403,plain,
( spl4_88
<=> p_Rd(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f4436,plain,
( spl4_175
<=> n0 = rd_level(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_175])]) ).
fof(f7315,plain,
( ~ gt(int_level(t_139),n0)
| ~ spl4_2
| ~ spl4_88
| spl4_175 ),
inference(subsumption_resolution,[],[f7314,f4437]) ).
fof(f4437,plain,
( n0 != rd_level(sF2)
| spl4_175 ),
inference(avatar_component_clause,[],[f4436]) ).
fof(f7314,plain,
( n0 = rd_level(sF2)
| ~ gt(int_level(t_139),n0)
| ~ spl4_2
| ~ spl4_88 ),
inference(forward_demodulation,[],[f7313,f100]) ).
fof(f7313,plain,
( ~ gt(int_level(t_139),n0)
| n0 = rd_level(plus(t_139,n1))
| ~ spl4_2
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f7312,f17]) ).
fof(f17,axiom,
! [X21] : ~ gt(X21,X21),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_17) ).
fof(f7312,plain,
( gt(sF0,sF0)
| ~ gt(int_level(t_139),n0)
| n0 = rd_level(plus(t_139,n1))
| ~ spl4_2
| ~ spl4_88 ),
inference(forward_demodulation,[],[f7048,f189]) ).
fof(f189,plain,
( sF0 = sF1
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f7048,plain,
( gt(sF1,sF0)
| ~ gt(int_level(t_139),n0)
| n0 = rd_level(plus(t_139,n1))
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f6129,f2404]) ).
fof(f2404,plain,
( p_Rd(t_139)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f6129,plain,
( gt(sF1,sF0)
| ~ p_Rd(t_139)
| ~ gt(int_level(t_139),n0)
| n0 = rd_level(plus(t_139,n1)) ),
inference(superposition,[],[f164,f97]) ).
fof(f164,plain,
! [X34] :
( gt(sF1,rd_level(X34))
| ~ p_Rd(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1)) ),
inference(subsumption_resolution,[],[f163,f137]) ).
fof(f137,plain,
! [X34] :
( gt(sF1,rd_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1)) ),
inference(forward_demodulation,[],[f136,f98]) ).
fof(f136,plain,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
inference(subsumption_resolution,[],[f57,f28]) ).
fof(f28,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = rd_level(plus(X30,n1)) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_28) ).
fof(f57,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_57) ).
fof(f163,plain,
! [X34] :
( gt(sF1,rd_level(X34))
| ~ p_Rd(X34)
| p_Wr(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1)) ),
inference(forward_demodulation,[],[f162,f98]) ).
fof(f162,plain,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
inference(subsumption_resolution,[],[f75,f28]) ).
fof(f75,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_75) ).
fof(f7052,plain,
( spl4_1
| ~ spl4_88
| ~ spl4_89
| spl4_175 ),
inference(avatar_split_clause,[],[f7051,f4436,f2407,f2403,f183]) ).
fof(f183,plain,
( spl4_1
<=> gt(sF1,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f7051,plain,
( gt(sF1,sF0)
| ~ spl4_88
| ~ spl4_89
| spl4_175 ),
inference(subsumption_resolution,[],[f7050,f4437]) ).
fof(f7050,plain,
( n0 = rd_level(sF2)
| gt(sF1,sF0)
| ~ spl4_88
| ~ spl4_89 ),
inference(forward_demodulation,[],[f7049,f100]) ).
fof(f7049,plain,
( gt(sF1,sF0)
| n0 = rd_level(plus(t_139,n1))
| ~ spl4_88
| ~ spl4_89 ),
inference(subsumption_resolution,[],[f7048,f2408]) ).
fof(f2408,plain,
( gt(int_level(t_139),n0)
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f6865,plain,
( ~ spl4_1
| ~ spl4_176 ),
inference(avatar_contradiction_clause,[],[f6864]) ).
fof(f6864,plain,
( $false
| ~ spl4_1
| ~ spl4_176 ),
inference(subsumption_resolution,[],[f6784,f1448]) ).
fof(f1448,plain,
! [X7] : ~ gt(n0,X7),
inference(subsumption_resolution,[],[f1436,f1]) ).
fof(f1,axiom,
! [X0] : plus(X0,n1) != n0,
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_1) ).
fof(f1436,plain,
! [X7] :
( n0 = plus(X7,n1)
| ~ gt(n0,X7) ),
inference(resolution,[],[f14,f212]) ).
fof(f212,plain,
! [X7] : ~ gt(n0,plus(X7,n1)),
inference(resolution,[],[f204,f2]) ).
fof(f2,axiom,
! [X1] : gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_2) ).
fof(f204,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(resolution,[],[f13,f17]) ).
fof(f13,axiom,
! [X16,X14,X15] :
( gt(X14,X16)
| ~ gt(X14,X15)
| ~ gt(X15,X16) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_13) ).
fof(f14,axiom,
! [X18,X17] :
( gt(X17,plus(X18,n1))
| plus(X18,n1) = X17
| ~ gt(X17,X18) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_14) ).
fof(f6784,plain,
( gt(n0,sF0)
| ~ spl4_1
| ~ spl4_176 ),
inference(backward_demodulation,[],[f185,f4448]) ).
fof(f4448,plain,
( n0 = sF1
| ~ spl4_176 ),
inference(avatar_component_clause,[],[f4446]) ).
fof(f4446,plain,
( spl4_176
<=> n0 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_176])]) ).
fof(f185,plain,
( gt(sF1,sF0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f6732,plain,
( spl4_30
| spl4_29 ),
inference(avatar_split_clause,[],[f5918,f630,f634]) ).
fof(f634,plain,
( spl4_30
<=> gt(fifo_length,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f630,plain,
( spl4_29
<=> n1 = fifo_length ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f5918,plain,
( n1 = fifo_length
| gt(fifo_length,n1) ),
inference(resolution,[],[f93,f613]) ).
fof(f613,plain,
! [X3] :
( ~ gt(X3,n0)
| n1 = X3
| gt(X3,n1) ),
inference(resolution,[],[f10,f229]) ).
fof(f229,plain,
! [X0] :
( gt(plus(X0,n1),n1)
| ~ gt(X0,n0) ),
inference(superposition,[],[f8,f20]) ).
fof(f20,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_20) ).
fof(f8,axiom,
! [X6,X7] :
( gt(plus(X6,n1),plus(X7,n1))
| ~ gt(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_8) ).
fof(f10,axiom,
! [X8,X9] :
( ~ gt(plus(X8,n1),X9)
| gt(X8,X9)
| X8 = X9 ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_10) ).
fof(f93,axiom,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',quest_3) ).
fof(f6570,plain,
( spl4_88
| spl4_91 ),
inference(avatar_contradiction_clause,[],[f6569]) ).
fof(f6569,plain,
( $false
| spl4_88
| spl4_91 ),
inference(subsumption_resolution,[],[f6554,f99]) ).
fof(f6554,plain,
( gt(sF0,sF1)
| spl4_88
| spl4_91 ),
inference(backward_demodulation,[],[f102,f6553]) ).
fof(f6553,plain,
( sF0 = sF3
| spl4_88
| spl4_91 ),
inference(forward_demodulation,[],[f101,f6552]) ).
fof(f6552,plain,
( sF0 = rd_level(sF2)
| spl4_88
| spl4_91 ),
inference(forward_demodulation,[],[f6522,f97]) ).
fof(f6522,plain,
( rd_level(t_139) = rd_level(sF2)
| spl4_88
| spl4_91 ),
inference(forward_demodulation,[],[f6521,f100]) ).
fof(f6521,plain,
( rd_level(t_139) = rd_level(plus(t_139,n1))
| spl4_88
| spl4_91 ),
inference(subsumption_resolution,[],[f6490,f2424]) ).
fof(f6490,plain,
( p_Reset(t_139)
| rd_level(t_139) = rd_level(plus(t_139,n1))
| spl4_88 ),
inference(resolution,[],[f2405,f105]) ).
fof(f2405,plain,
( ~ p_Rd(t_139)
| spl4_88 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f6445,plain,
( ~ spl4_65
| ~ spl4_1
| ~ spl4_31
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(avatar_split_clause,[],[f6444,f2423,f2407,f2403,f639,f183,f1832]) ).
fof(f1832,plain,
( spl4_65
<=> gt(sF3,fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f6444,plain,
( ~ gt(sF3,fifo_length)
| ~ spl4_1
| ~ spl4_31
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f5408,f6429]) ).
fof(f6429,plain,
( sF3 = plus(sF0,n1)
| ~ spl4_1
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(backward_demodulation,[],[f6420,f101]) ).
fof(f6420,plain,
( rd_level(sF2) = plus(sF0,n1)
| ~ spl4_1
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(subsumption_resolution,[],[f5879,f185]) ).
fof(f5879,plain,
( rd_level(sF2) = plus(sF0,n1)
| ~ gt(sF1,sF0)
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f5878,f100]) ).
fof(f5878,plain,
( rd_level(plus(t_139,n1)) = plus(sF0,n1)
| ~ gt(sF1,sF0)
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f5705,f97]) ).
fof(f5705,plain,
( ~ gt(sF1,sF0)
| rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f4210,f97]) ).
fof(f4210,plain,
( ~ gt(sF1,rd_level(t_139))
| rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(subsumption_resolution,[],[f4209,f2408]) ).
fof(f4209,plain,
( ~ gt(sF1,rd_level(t_139))
| ~ gt(int_level(t_139),n0)
| rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ spl4_88
| spl4_91 ),
inference(subsumption_resolution,[],[f4186,f2424]) ).
fof(f4186,plain,
( ~ gt(sF1,rd_level(t_139))
| p_Reset(t_139)
| ~ gt(int_level(t_139),n0)
| rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ spl4_88 ),
inference(resolution,[],[f2404,f161]) ).
fof(f161,plain,
! [X34] :
( ~ p_Rd(X34)
| ~ gt(sF1,rd_level(X34))
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
inference(subsumption_resolution,[],[f160,f135]) ).
fof(f135,plain,
! [X34] :
( ~ gt(sF1,rd_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
inference(forward_demodulation,[],[f56,f98]) ).
fof(f56,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_56) ).
fof(f160,plain,
! [X34] :
( ~ gt(sF1,rd_level(X34))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
inference(forward_demodulation,[],[f74,f98]) ).
fof(f74,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_74) ).
fof(f5408,plain,
( ~ gt(plus(sF0,n1),fifo_length)
| ~ spl4_31 ),
inference(backward_demodulation,[],[f342,f641]) ).
fof(f641,plain,
( fifo_length = plus(sF1,n1)
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f342,plain,
~ gt(plus(sF0,n1),plus(sF1,n1)),
inference(resolution,[],[f99,f9]) ).
fof(f9,axiom,
! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_9) ).
fof(f6418,plain,
( spl4_2
| spl4_41
| ~ spl4_181 ),
inference(avatar_split_clause,[],[f6417,f5882,f1177,f187]) ).
fof(f5882,plain,
( spl4_181
<=> fifo_length = plus(sF0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_181])]) ).
fof(f6417,plain,
( sF0 = sF1
| spl4_41
| ~ spl4_181 ),
inference(backward_demodulation,[],[f98,f6416]) ).
fof(f6416,plain,
( minus(fifo_length,n1) = sF0
| spl4_41
| ~ spl4_181 ),
inference(subsumption_resolution,[],[f6395,f1178]) ).
fof(f6395,plain,
( def_10(n1,fifo_length)
| minus(fifo_length,n1) = sF0
| ~ spl4_181 ),
inference(superposition,[],[f96,f5884]) ).
fof(f5884,plain,
( fifo_length = plus(sF0,n1)
| ~ spl4_181 ),
inference(avatar_component_clause,[],[f5882]) ).
fof(f96,plain,
! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| plus(X5,X4) != X3
| minus(X3,X4) = X5 ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_5) ).
fof(f5885,plain,
( ~ spl4_1
| spl4_181
| ~ spl4_64
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(avatar_split_clause,[],[f5880,f2423,f2407,f2403,f1828,f5882,f183]) ).
fof(f1828,plain,
( spl4_64
<=> fifo_length = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f5880,plain,
( fifo_length = plus(sF0,n1)
| ~ gt(sF1,sF0)
| ~ spl4_64
| ~ spl4_88
| ~ spl4_89
| spl4_91 ),
inference(forward_demodulation,[],[f5879,f5766]) ).
fof(f5766,plain,
( fifo_length = rd_level(sF2)
| ~ spl4_64 ),
inference(forward_demodulation,[],[f101,f1830]) ).
fof(f1830,plain,
( fifo_length = sF3
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f5411,plain,
( spl4_65
| spl4_64
| spl4_20
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f3173,f639,f478,f1828,f1832]) ).
fof(f478,plain,
( spl4_20
<=> plus(sF3,n1) = plus(sF1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f3173,plain,
( fifo_length = sF3
| gt(sF3,fifo_length)
| spl4_20
| ~ spl4_31 ),
inference(resolution,[],[f1836,f12]) ).
fof(f12,axiom,
! [X12,X13] :
( gt(X12,X13)
| X12 = X13
| gt(X13,X12) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_12) ).
fof(f1836,plain,
( ~ gt(fifo_length,sF3)
| spl4_20
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f1546,f1263]) ).
fof(f1263,plain,
( fifo_length != plus(sF3,n1)
| spl4_20
| ~ spl4_31 ),
inference(forward_demodulation,[],[f479,f641]) ).
fof(f479,plain,
( plus(sF3,n1) != plus(sF1,n1)
| spl4_20 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f1546,plain,
( fifo_length = plus(sF3,n1)
| ~ gt(fifo_length,sF3)
| ~ spl4_31 ),
inference(resolution,[],[f1347,f14]) ).
fof(f1347,plain,
( ~ gt(fifo_length,plus(sF3,n1))
| ~ spl4_31 ),
inference(forward_demodulation,[],[f1059,f641]) ).
fof(f1059,plain,
~ gt(plus(sF1,n1),plus(sF3,n1)),
inference(resolution,[],[f345,f9]) ).
fof(f345,plain,
~ gt(sF1,sF3),
inference(resolution,[],[f102,f204]) ).
fof(f4898,plain,
( spl4_118
| ~ spl4_175 ),
inference(avatar_contradiction_clause,[],[f4897]) ).
fof(f4897,plain,
( $false
| spl4_118
| ~ spl4_175 ),
inference(subsumption_resolution,[],[f4896,f2991]) ).
fof(f2991,plain,
( n0 != sF3
| spl4_118 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f2990,plain,
( spl4_118
<=> n0 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).
fof(f4896,plain,
( n0 = sF3
| ~ spl4_175 ),
inference(backward_demodulation,[],[f101,f4438]) ).
fof(f4438,plain,
( n0 = rd_level(sF2)
| ~ spl4_175 ),
inference(avatar_component_clause,[],[f4436]) ).
fof(f4672,plain,
( spl4_176
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f4671,f630,f4446]) ).
fof(f4671,plain,
( n0 = sF1
| ~ spl4_29 ),
inference(forward_demodulation,[],[f4524,f575]) ).
fof(f575,plain,
n0 = minus(n1,n1),
inference(resolution,[],[f574,f15]) ).
fof(f15,axiom,
! [X19] :
( gt(X19,n0)
| n0 = X19 ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_15) ).
fof(f574,plain,
~ gt(minus(n1,n1),n0),
inference(subsumption_resolution,[],[f572,f17]) ).
fof(f572,plain,
( gt(n1,n1)
| ~ gt(minus(n1,n1),n0) ),
inference(superposition,[],[f229,f382]) ).
fof(f382,plain,
! [X0] : plus(minus(X0,X0),X0) = X0,
inference(resolution,[],[f95,f94]) ).
fof(f94,plain,
! [X4] : ~ def_10(X4,X4),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( X3 != X4
| ~ def_10(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_7) ).
fof(f4524,plain,
( sF1 = minus(n1,n1)
| ~ spl4_29 ),
inference(backward_demodulation,[],[f98,f632]) ).
fof(f632,plain,
( n1 = fifo_length
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f3078,plain,
~ spl4_118,
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| ~ spl4_118 ),
inference(subsumption_resolution,[],[f3035,f1448]) ).
fof(f3035,plain,
( gt(n0,sF1)
| ~ spl4_118 ),
inference(backward_demodulation,[],[f102,f2992]) ).
fof(f2992,plain,
( n0 = sF3
| ~ spl4_118 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f3030,plain,
( spl4_118
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f3029,f2423,f2990]) ).
fof(f3029,plain,
( n0 = sF3
| ~ spl4_91 ),
inference(backward_demodulation,[],[f101,f3028]) ).
fof(f3028,plain,
( n0 = rd_level(sF2)
| ~ spl4_91 ),
inference(forward_demodulation,[],[f3020,f100]) ).
fof(f3020,plain,
( n0 = rd_level(plus(t_139,n1))
| ~ spl4_91 ),
inference(resolution,[],[f2425,f28]) ).
fof(f2425,plain,
( p_Reset(t_139)
| ~ spl4_91 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f1204,plain,
~ spl4_42,
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| ~ spl4_42 ),
inference(subsumption_resolution,[],[f1188,f17]) ).
fof(f1188,plain,
( gt(sF1,sF1)
| ~ spl4_42 ),
inference(backward_demodulation,[],[f102,f1183]) ).
fof(f1183,plain,
( sF1 = sF3
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1181,plain,
( spl4_42
<=> sF1 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f1187,plain,
( ~ spl4_30
| ~ spl4_41 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl4_30
| ~ spl4_41 ),
inference(subsumption_resolution,[],[f1185,f636]) ).
fof(f636,plain,
( gt(fifo_length,n1)
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f1185,plain,
( ~ gt(fifo_length,n1)
| ~ spl4_41 ),
inference(resolution,[],[f1179,f6]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111',axiom_6) ).
fof(f1179,plain,
( def_10(n1,fifo_length)
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1184,plain,
( spl4_41
| spl4_42
| ~ spl4_20
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f1175,f639,f478,f1181,f1177]) ).
fof(f1175,plain,
( sF1 = sF3
| def_10(n1,fifo_length)
| ~ spl4_20
| ~ spl4_31 ),
inference(forward_demodulation,[],[f1172,f98]) ).
fof(f1172,plain,
( def_10(n1,fifo_length)
| minus(fifo_length,n1) = sF3
| ~ spl4_20
| ~ spl4_31 ),
inference(superposition,[],[f96,f949]) ).
fof(f949,plain,
( fifo_length = plus(sF3,n1)
| ~ spl4_20
| ~ spl4_31 ),
inference(forward_demodulation,[],[f480,f641]) ).
fof(f480,plain,
( plus(sF3,n1) = plus(sF1,n1)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 16:18:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.8WHBXgi0wO/Vampire---4.8_14111
% 0.13/0.35 % (14357)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (14368)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.20/0.41 % (14370)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.41 % (14367)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.41 % (14364)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.41 % (14365)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.20/0.41 % (14363)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.20/0.41 % (14366)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 1.55/0.60 % (14366)First to succeed.
% 1.55/0.60 % (14366)Refutation found. Thanks to Tanya!
% 1.55/0.60 % SZS status Unsatisfiable for Vampire---4
% 1.55/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 1.55/0.60 % (14366)------------------------------
% 1.55/0.60 % (14366)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.55/0.60 % (14366)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.55/0.60 % (14366)Termination reason: Refutation
% 1.55/0.60
% 1.55/0.60 % (14366)Memory used [KB]: 8187
% 1.55/0.60 % (14366)Time elapsed: 0.187 s
% 1.55/0.60 % (14366)------------------------------
% 1.55/0.60 % (14366)------------------------------
% 1.55/0.60 % (14357)Success in time 0.25 s
% 1.55/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------