%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:58:56 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
fof(f23,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f157,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f155,f5]) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(definition_unfolding,[],[f156,f5,f5]) ).
fof(f176,plain,
! [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)) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f273,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f274,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f275,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f276,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f989,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(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_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[],[f176,f274]) ).
fof(f990,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_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f989,f276]) ).
fof(f991,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f990,f158]) ).
fof(f992,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(forward_subsumption_resolution,[],[f991,f275]) ).
fof(f993,plain,
$false,
inference(forward_subsumption_resolution,[],[f992,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:53:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % (622392)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (622403)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2999049932:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (622398)% WARNING: option uhcvi not known.
% 0.18/0.50 % (622398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2867920495:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (622399)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1761759895:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (622400)dis+10_1_sil=32000:sp=arity:random_seed=2054491196:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (622402)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=599368564:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (622397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=540563064_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (622401)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2356173501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (622398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-622392-622398"...
% 0.18/0.50 % (622398)...printing done.
% 0.18/0.50 % (622398)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (622398)------------------------------
% 0.18/0.50 % (622398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (622398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (622398)CaDiCaL version: 2.1.3
% 0.18/0.50 % (622398)Termination reason: Refutation
% 0.18/0.50 % (622398)Time elapsed: 0.024 s
% 0.18/0.50 % (622398)Peak memory usage: 12 MB
% 0.18/0.50 % (622398)Instructions burned: 32 (million)
% 0.18/0.50 % (622392)Success in time 0.068 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------