%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV028-2 : 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 : n018.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 10:59:01 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 19 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 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(f16,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_12) ).
fof(f17,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f16]) ).
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(f89,axiom,
! [X0] : p_LES_EQU_(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
fof(f152,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f266,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f17,f152]) ).
fof(f267,plain,
~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(superposition,[],[f155,f266]) ).
fof(f281,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| p_LES_EQU_(X1,X0) ),
inference(resolution,[],[f83,f89]) ).
fof(f373,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(resolution,[],[f281,f267]) ).
fof(f375,plain,
$false,
inference(forward_subsumption_resolution,[],[f373,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV028-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 11:00:54 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.17/0.49 % (2163945)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (2163955)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3439097723:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (2163951)% WARNING: option uhcvi not known.
% 0.17/0.49 % (2163950)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=712324649_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (2163951)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2770297287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (2163952)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2536857568:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (2163953)dis+10_1_sil=32000:sp=arity:random_seed=4155690504:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (2163954)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1450778964:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (2163956)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2567306834:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (2163953) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2163945-2163953"...
% 0.17/0.49 % (2163953)...printing done.
% 0.17/0.49 % (2163956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2163945-2163956"...
% 0.17/0.49 % (2163953)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (2163953)------------------------------
% 0.17/0.49 % (2163953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (2163953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (2163953)CaDiCaL version: 2.1.3
% 0.17/0.49 % (2163953)Termination reason: Refutation
% 0.17/0.49 % (2163953)Time elapsed: 0.009 s
% 0.17/0.49 % (2163953)Peak memory usage: 12 MB
% 0.17/0.49 % (2163953)Instructions burned: 12 (million)
% 0.17/0.49 % (2163945)Success in time 0.052 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------