%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV022-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:20:15 AM UTC 2026
% Result : Unsatisfiable 2.89s 1.38s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 99 ( 25 unt; 6 def)
% Number of atoms : 218 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 217 ( 98 ~; 113 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f18,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f23,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f28,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f32,axiom,
! [X0] :
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f50,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f73,axiom,
! [X0] :
( ~ p_LES_EQU_(X0,f_SUB_(X0,n1))
| p_LES_EQU_(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f75,axiom,
! [X2,X0,X1] :
( def_89(X0,X1)
| f_ADD_(X2,X0) != X1
| f_SUB_(X1,X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f77,axiom,
! [X0,X1] :
( ~ def_89(X1,X0)
| p_LES_EQU_(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f79,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X0,X1)
| p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
fof(f82,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X0,X1)
| X0 = X1
| ~ p_LES_EQU_(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f83,axiom,
! [X2,X0,X1] :
( ~ p_LES_EQU_(X0,X1)
| p_LES_EQU_(X2,X1)
| p_LES_EQU_(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f90,axiom,
! [X0,X1] :
( f_ADD_(X0,n1) != f_ADD_(X1,n1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(f92,axiom,
n1 = f_ADD_(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(f152,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
inference(reorient_equations,[],[f157]) ).
fof(f160,plain,
! [X2,X0] :
( def_89(X0,f_ADD_(X2,X0))
| f_SUB_(f_ADD_(X2,X0),X0) = X2 ),
inference(equality_resolution,[],[f75]) ).
fof(f164,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(superposition,[],[f153,f5]) ).
fof(f165,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(superposition,[],[f158,f5]) ).
fof(f168,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(superposition,[],[f72,f153]) ).
fof(f207,plain,
! [X0] :
( n1 != f_ADD_(X0,n1)
| n0 = X0 ),
inference(superposition,[],[f90,f92]) ).
fof(f230,definition,
( spl0_1
<=> n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f232,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_2
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f236,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != n1
| spl0_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f252,definition,
( spl0_6
<=> f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f253,plain,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| spl0_6 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f300,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(forward_subsumption_resolution,[],[f50,f18]) ).
fof(f303,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ spl0_6 ),
inference(superposition,[],[f73,f254]) ).
fof(f304,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f303,f168]) ).
fof(f392,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[],[f28,f300]) ).
fof(f393,plain,
! [X0] :
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(forward_subsumption_resolution,[],[f392,f18]) ).
fof(f516,definition,
( spl0_29
<=> p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f518,plain,
( p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f598,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f23,f156]) ).
fof(f601,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f598,f304]) ).
fof(f602,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f601,f154]) ).
fof(f603,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f602,f155]) ).
fof(f604,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f603,f164]) ).
fof(f605,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f604,f165]) ).
fof(f606,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f618,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f598,f154]) ).
fof(f624,definition,
( spl0_37
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f625,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f642,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
inference(forward_subsumption_resolution,[],[f618,f155]) ).
fof(f643,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(forward_demodulation,[],[f642,f164]) ).
fof(f644,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(forward_subsumption_resolution,[],[f643,f165]) ).
fof(f645,plain,
spl0_37,
inference(avatar_split_clause,[],[f644,f624]) ).
fof(f646,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_37 ),
inference(resolution,[],[f625,f32]) ).
fof(f659,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f646,f156]) ).
fof(f661,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f659,f154]) ).
fof(f662,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f661,f155]) ).
fof(f859,definition,
( spl0_57
<=> p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f860,plain,
( p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f861,plain,
( ~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| spl0_57 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1491,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != n1
| n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
inference(superposition,[],[f207,f153]) ).
fof(f1581,plain,
( ! [X0] :
( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,X0) )
| ~ spl0_37 ),
inference(resolution,[],[f83,f625]) ).
fof(f1613,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ spl0_37
| spl0_57 ),
inference(resolution,[],[f1581,f861]) ).
fof(f1636,plain,
( $false
| ~ spl0_37
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f1613,f168]) ).
fof(f1637,plain,
( ~ spl0_37
| spl0_57 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1712,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ != n1 ),
inference(forward_demodulation,[],[f1491,f5]) ).
fof(f1715,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f1712,f230,f234]) ).
fof(f1845,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_1 ),
inference(superposition,[],[f393,f232]) ).
fof(f1851,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1845,f168]) ).
fof(f1862,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_1
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1851,f662]) ).
fof(f1865,plain,
( $false
| ~ spl0_1
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1862,f154]) ).
fof(f1866,plain,
( ~ spl0_1
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1878,plain,
( p_LES_EQU_(f_ADD_(n0,n1),f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1))
| ~ spl0_57 ),
inference(resolution,[],[f860,f79]) ).
fof(f1879,plain,
( p_LES_EQU_(f_ADD_(n0,n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_57 ),
inference(forward_demodulation,[],[f1878,f164]) ).
fof(f1881,plain,
( p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_57 ),
inference(forward_demodulation,[],[f1879,f92]) ).
fof(f1886,plain,
( spl0_29
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1881,f859,f516]) ).
fof(f1895,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| ~ spl0_29 ),
inference(resolution,[],[f518,f82]) ).
fof(f1899,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| spl0_2
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1895,f236]) ).
fof(f2336,plain,
( def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(superposition,[],[f160,f164]) ).
fof(f2343,plain,
( def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2336,f253]) ).
fof(f2348,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| spl0_6 ),
inference(resolution,[],[f2343,f77]) ).
fof(f2349,plain,
( $false
| spl0_2
| spl0_6
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2348,f1899]) ).
fof(f2350,plain,
( spl0_2
| spl0_6
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
cnf(s25,plain,
~ spl0_6,
inference(sat_conversion,[],[f606]) ).
cnf(s30,plain,
spl0_37,
inference(sat_conversion,[],[f645]) ).
cnf(s123,plain,
( ~ spl0_37
| spl0_57 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s138,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s158,plain,
( ~ spl0_1
| ~ spl0_37 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s162,plain,
( spl0_29
| ~ spl0_57 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s194,plain,
( spl0_2
| spl0_6
| ~ spl0_29 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s195,plain,
~ spl0_1,
inference(rat,[],[s158,s30]) ).
cnf(s196,plain,
spl0_57,
inference(rat,[],[s123,s30]) ).
cnf(s198,plain,
~ spl0_2,
inference(rat,[],[s138,s195]) ).
cnf(s199,plain,
spl0_29,
inference(rat,[],[s162,s196]) ).
cnf(s201,plain,
spl0_6,
inference(rat,[],[s194,s199,s198]) ).
cnf(s215,plain,
$false,
inference(rat,[],[s25,s201]) ).
fof(f2351,plain,
$false,
inference(avatar_sat_refutation,[],[s215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV022-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n010.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 10:58:01 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.38 % (792661)Input is clausal, will run a generic CNF schedule.
% 2.89/1.38 % (792667)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1443142146:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/1.38 % (792671)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2749673142:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/1.38 % (792669)lrs+10_1_sil=8000:sp=occurrence:random_seed=2539605412:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/1.38 % (792672)dis-21_1_sil=8000:lcm=predicate:random_seed=2926101498:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.89/1.38 % (792668)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2267506286:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/1.38 % (792670)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2126106333:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/1.38 % (792666)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2171657633:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/1.38 % (792672)Instruction limit reached!
% 2.89/1.38 % (792672)------------------------------
% 2.89/1.38 % (792672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.38 % (792672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.38 % (792672)CaDiCaL version: 2.1.3
% 2.89/1.38 % (792672)Termination reason: Instruction limit
% 2.89/1.38 % (792672)Termination phase: Saturation
% 2.89/1.38 % (792672)Time elapsed: 0.055 s
% 2.89/1.38 % (792672)Peak memory usage: 89 MB
% 2.89/1.38 % (792672)Instructions burned: 119 (million)
% 2.89/1.38 % (792671)First to succeed.
% 2.89/1.38 % (792671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-792661"
% 2.89/1.38 % (792669)Instruction limit reached!
% 2.89/1.38 % (792669)------------------------------
% 2.89/1.38 % (792669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.38 % (792669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.38 % (792669)CaDiCaL version: 2.1.3
% 2.89/1.38 % (792669)Termination reason: Instruction limit
% 2.89/1.38 % (792669)Termination phase: Saturation
% 2.89/1.38 % (792669)Time elapsed: 0.069 s
% 2.89/1.38 % (792669)Peak memory usage: 88 MB
% 2.89/1.38 % (792669)Instructions burned: 107 (million)
% 2.89/1.38 % (792670)Instruction limit reached!
% 2.89/1.38 % (792670)------------------------------
% 2.89/1.38 % (792670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.38 % (792670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.38 % (792670)CaDiCaL version: 2.1.3
% 2.89/1.38 % (792670)Termination reason: Instruction limit
% 2.89/1.38 % (792670)Termination phase: Saturation
% 2.89/1.38 % (792670)Time elapsed: 0.075 s
% 2.89/1.38 % (792670)Peak memory usage: 89 MB
% 2.89/1.38 % (792670)Instructions burned: 114 (million)
% 2.89/1.38 % (792680)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3283770538:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.89/1.38 % (792681)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=275035397:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.89/1.38 % (792682)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1231455540:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.89/1.38 % (792680)Instruction limit reached!
% 2.89/1.38 % (792680)------------------------------
% 2.89/1.38 % (792680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.38 % (792680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.38 % (792680)CaDiCaL version: 2.1.3
% 2.89/1.38 % (792680)Termination reason: Instruction limit
% 2.89/1.38 % (792680)Termination phase: Saturation
% 2.89/1.38 % (792680)Time elapsed: 0.088 s
% 2.89/1.38 % (792680)Peak memory usage: 89 MB
% 2.89/1.38 % (792680)Instructions burned: 144 (million)
% 2.89/1.38 % (792671)Refutation found. Thanks to Tanya!
% 2.89/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.58 % (792671)------------------------------
% 4.09/1.58 % (792671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.58 % (792671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.58 % (792671)CaDiCaL version: 2.1.3
% 4.09/1.58 % (792671)Termination reason: Refutation
% 4.09/1.58 % (792671)Time elapsed: 0.063 s
% 4.09/1.58 % (792671)Peak memory usage: 90 MB
% 4.09/1.58 % (792671)Instructions burned: 93 (million)
% 4.09/1.58 % (792671)------------------------------
% 4.09/1.58 % (792671)------------------------------
% 4.09/1.58 % (792661)Success in time 0.498 s
% 4.09/1.58 % Vampire exiting
%------------------------------------------------------------------------------