%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV017-2 : 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 : n011.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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 18 unt; 4 def)
% Number of atoms : 143 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 126 ( 48 ~; 74 |; 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 : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 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(f8,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_7) ).
fof(f9,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f52,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| 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_43) ).
fof(f56,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_47) ).
fof(f57,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| ~ 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)) ),
inference(reorient_equations,[],[f56]) ).
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_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(reorient_equations,[],[f61]) ).
fof(f73,axiom,
! [X0] :
( ~ p_LES_EQU_(X0,f_SUB_(X0,n1))
| p_LES_EQU_(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_61) ).
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(f89,axiom,
! [X0] : p_LES_EQU_(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
fof(f152,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f157,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_6) ).
fof(f158,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(definition_unfolding,[],[f152,f5]) ).
fof(f186,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f190,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| 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)) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f197,plain,
! [X0] :
( p_LES_EQU_(X0,f_SUB_(X0,n1))
| ~ p_LES_EQU_(X0,n0) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f206,plain,
! [X0] :
( p_LES_EQU_(X0,n0)
| n0 = X0 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f207,plain,
! [X0] : ~ p_LES_EQU_(X0,X0),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f219,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f220,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f225,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f9,f156]) ).
fof(f316,definition,
( spl0_1
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f318,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f661,definition,
( spl0_27
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f663,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| spl0_27 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f669,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| spl0_27 ),
inference(resolution,[],[f663,f206]) ).
fof(f673,definition,
( spl0_29
<=> n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f675,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f682,plain,
( spl0_29
| spl0_27 ),
inference(avatar_split_clause,[],[f669,f661,f673]) ).
fof(f854,plain,
! [X0] :
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[],[f190,f62]) ).
fof(f876,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f186,f155]) ).
fof(f885,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f876,f153]) ).
fof(f886,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_subsumption_resolution,[],[f885,f154]) ).
fof(f905,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(forward_demodulation,[],[f886,f225]) ).
fof(f907,definition,
( spl0_40
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f909,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl0_27
| spl0_40 ),
inference(avatar_split_clause,[],[f905,f907,f661]) ).
fof(f941,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = 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_27 ),
inference(resolution,[],[f663,f854]) ).
fof(f947,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_27 ),
inference(forward_subsumption_resolution,[],[f941,f153]) ).
fof(f949,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f947,f154]) ).
fof(f950,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| spl0_27 ),
inference(forward_demodulation,[],[f949,f225]) ).
fof(f954,plain,
( spl0_1
| spl0_27 ),
inference(avatar_split_clause,[],[f950,f661,f316]) ).
fof(f1088,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0
| ~ spl0_1
| ~ spl0_29 ),
inference(superposition,[],[f675,f318]) ).
fof(f1139,plain,
( p_LES_EQU_(n0,n0)
| ~ spl0_1
| ~ spl0_29 ),
inference(superposition,[],[f220,f1088]) ).
fof(f1153,plain,
( $false
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1139,f207]) ).
fof(f1154,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1190,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_40 ),
inference(superposition,[],[f197,f909]) ).
fof(f1191,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1190,f219]) ).
fof(f1192,plain,
( ~ spl0_27
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1191,f907,f661]) ).
cnf(s17,plain,
( spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f682]) ).
cnf(s37,plain,
( ~ spl0_27
| spl0_40 ),
inference(sat_conversion,[],[f910]) ).
cnf(s47,plain,
( spl0_1
| spl0_27 ),
inference(sat_conversion,[],[f954]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s62,plain,
( ~ spl0_27
| ~ spl0_40 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s63,plain,
~ spl0_27,
inference(rat,[],[s37,s62]) ).
cnf(s64,plain,
spl0_1,
inference(rat,[],[s47,s63]) ).
cnf(s66,plain,
spl0_29,
inference(rat,[],[s17,s63]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s56,s66,s64]) ).
fof(f1193,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV017-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:53:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (2221757)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2221763)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2221765)dis+10_1_sil=32000:sp=arity:random_seed=2533847270:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2221762)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3208961108_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2221766)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=196201671:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2221763)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3667556706:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (2221768)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3550033990:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (2221764)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2885994869:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2221767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2546606376:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % (2221763) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2221757-2221763"...
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (2221763)...printing done.
% 0.10/0.45 % (2221763)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2221763)------------------------------
% 0.10/0.45 % (2221763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2221763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2221763)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2221763)Termination reason: Refutation
% 0.10/0.45 % (2221763)Time elapsed: 0.022 s
% 0.10/0.45 % (2221763)Peak memory usage: 13 MB
% 0.10/0.45 % (2221763)Instructions burned: 52 (million)
% 0.10/0.45 % (2221757)Success in time 0.047 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------