%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 10:58:57 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 86 ( 17 unt; 4 def)
% Number of atoms : 219 ( 39 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 208 ( 75 ~; 129 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
fof(f11,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_9) ).
fof(f23,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
fof(f29,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| ~ 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/Axioms/HWV004-0.ax',axiom_23) ).
fof(f30,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(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)) ),
inference(reorient_equations,[],[f29]) ).
fof(f38,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ 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/Axioms/HWV004-0.ax',axiom_31) ).
fof(f39,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(reorient_equations,[],[f38]) ).
fof(f44,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_36) ).
fof(f61,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = 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/Axioms/HWV004-0.ax',axiom_51) ).
fof(f62,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(reorient_equations,[],[f61]) ).
fof(f70,axiom,
! [X0] : f_ADD_(X0,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
fof(f71,plain,
! [X0] : n0 != f_ADD_(X0,n1),
inference(reorient_equations,[],[f70]) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
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/Axioms/HWV004-0.ax',axiom_71) ).
fof(f84,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X1,f_ADD_(X0,n1))
| f_ADD_(X0,n1) = X1
| p_LES_EQU_(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_72) ).
fof(f85,axiom,
! [X0] :
( ~ p_LES_EQU_(X0,n0)
| X0 = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_73) ).
fof(f86,plain,
! [X0] :
( ~ p_LES_EQU_(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f85]) ).
fof(f152,negated_conjecture,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f157,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f152,f5]) ).
fof(f171,plain,
! [X0] :
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[],[f30,f62]) ).
fof(f215,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f11,f155]) ).
fof(f837,plain,
! [X0] :
( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p_LES_EQU_(n0,X0) ),
inference(resolution,[],[f83,f157]) ).
fof(f1021,definition,
( spl0_14
<=> n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1022,plain,
( n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| spl0_14 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1023,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1285,plain,
! [X0] :
( n0 = f_ADD_(X0,n1)
| p_LES_EQU_(n0,X0)
| p_LES_EQU_(f_ADD_(X0,n1),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(resolution,[],[f84,f837]) ).
fof(f1297,plain,
! [X0] :
( p_LES_EQU_(n0,X0)
| p_LES_EQU_(f_ADD_(X0,n1),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(forward_subsumption_resolution,[],[f1285,f71]) ).
fof(f1298,plain,
( ! [X0] :
( p_LES_EQU_(f_ADD_(X0,n1),n0)
| p_LES_EQU_(n0,X0) )
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1297,f1023]) ).
fof(f1299,plain,
( ! [X0] : p_LES_EQU_(n0,X0)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1298,f72]) ).
fof(f1868,definition,
( spl0_41
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1869,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1870,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| spl0_41 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1874,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f39,f154]) ).
fof(f1968,definition,
( spl0_47
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f1969,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| spl0_47 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1970,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1973,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f23,f154]) ).
fof(f1982,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f1973,f1969]) ).
fof(f1983,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| spl0_41
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f1982,f1870]) ).
fof(f1984,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| spl0_41
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f1983,f153]) ).
fof(f1993,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f44,f154]) ).
fof(f2061,plain,
( n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| spl0_41
| spl0_47 ),
inference(forward_demodulation,[],[f1984,f215]) ).
fof(f2062,plain,
( $false
| spl0_41
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f2061,f71]) ).
fof(f2063,plain,
( spl0_41
| spl0_47 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2064,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1874,f1869]) ).
fof(f2066,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1993,f1869]) ).
fof(f2067,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2064,f153]) ).
fof(f2069,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2066,f153]) ).
fof(f2070,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f2067,f215]) ).
fof(f2076,definition,
( spl0_57
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f2078,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| spl0_57 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2080,plain,
( n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f2069,f215]) ).
fof(f2081,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2070,f86]) ).
fof(f2082,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2080,f71]) ).
fof(f2083,plain,
( $false
| spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2081,f1022]) ).
fof(f2084,plain,
( spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2085,plain,
( ~ spl0_57
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2082,f1868,f2076]) ).
fof(f2087,plain,
( ~ p_LES_EQU_(n0,n0)
| ~ spl0_14
| spl0_57 ),
inference(forward_demodulation,[],[f2078,f1023]) ).
fof(f2088,plain,
( $false
| ~ spl0_14
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f2087,f1299]) ).
fof(f2089,plain,
( ~ spl0_14
| spl0_57 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2126,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_47 ),
inference(resolution,[],[f1970,f171]) ).
fof(f2149,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2126,f1870]) ).
fof(f2151,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2149,f153]) ).
fof(f2152,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2151,f215]) ).
fof(f2153,plain,
( $false
| spl0_14
| spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2152,f1022]) ).
fof(f2154,plain,
( spl0_14
| spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2224,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ spl0_14
| ~ spl0_47 ),
inference(superposition,[],[f1970,f1023]) ).
fof(f2232,plain,
( $false
| ~ spl0_14
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2224,f156]) ).
fof(f2233,plain,
( ~ spl0_14
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
cnf(s45,plain,
( spl0_41
| spl0_47 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s47,plain,
( spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s48,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(sat_conversion,[],[f2085]) ).
cnf(s49,plain,
( ~ spl0_14
| spl0_57 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s53,plain,
( spl0_14
| spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s54,plain,
( ~ spl0_14
| ~ spl0_47 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s56,plain,
( spl0_14
| spl0_41 ),
inference(rat,[],[s45,s53]) ).
cnf(s57,plain,
spl0_14,
inference(rat,[],[s56,s47]) ).
cnf(s59,plain,
~ spl0_47,
inference(rat,[],[s54,s57]) ).
cnf(s60,plain,
spl0_57,
inference(rat,[],[s49,s57]) ).
cnf(s63,plain,
spl0_41,
inference(rat,[],[s45,s59]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s48,s60,s63]) ).
fof(f2238,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:53:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50 % (621150)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (621160)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2172043596:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (621156)% WARNING: option uhcvi not known.
% 0.17/0.50 % (621155)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3550435893_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (621156)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2648653839:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (621158)dis+10_1_sil=32000:sp=arity:random_seed=3367817095:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (621157)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3291552753:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (621159)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3100521802:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (621161)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3822324100:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % (621160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-621150-621160"...
% 0.17/0.50 % (621160)...printing done.
% 0.17/0.50 % (621156) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-621150-621156"...
% 0.17/0.50 % (621160)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (621160)------------------------------
% 0.17/0.50 % (621160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (621160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (621160)CaDiCaL version: 2.1.3
% 0.17/0.50 % (621160)Termination reason: Refutation
% 0.17/0.50 % (621160)Time elapsed: 0.032 s
% 0.17/0.50 % (621160)Peak memory usage: 13 MB
% 0.17/0.50 % (621160)Instructions burned: 87 (million)
% 0.17/0.50 % (621150)Success in time 0.07 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------