%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV021-2 : 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 : n005.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 10:58:58 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 13 unt; 1 def)
% Number of atoms : 71 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 37 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).
fof(f19,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_14) ).
fof(f42,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_34) ).
fof(f55,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_46) ).
fof(f85,axiom,
! [X0] :
( ~ p_LES_EQU_(X0,n0)
| X0 = n0 ),
file('/export/starexec/sandbox/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__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f163,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f169,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f189,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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,[],[f42]) ).
fof(f201,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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,[],[f55]) ).
fof(f256,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f258,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f259,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f667,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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)) ),
inference(forward_subsumption_resolution,[],[f189,f169]) ).
fof(f699,definition,
( spl0_24
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f701,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f725,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(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_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[],[f201,f667]) ).
fof(f726,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
inference(forward_subsumption_resolution,[],[f725,f169]) ).
fof(f727,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolution,[],[f726,f256]) ).
fof(f737,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
inference(forward_subsumption_resolution,[],[f727,f258]) ).
fof(f743,plain,
spl0_24,
inference(avatar_split_clause,[],[f737,f699]) ).
fof(f751,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_24 ),
inference(resolution,[],[f701,f86]) ).
fof(f763,plain,
( n0 != n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| ~ spl0_24 ),
inference(superposition,[],[f163,f751]) ).
fof(f764,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f763]) ).
fof(f765,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f764,f259]) ).
fof(f766,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f765]) ).
cnf(s25,plain,
spl0_24,
inference(sat_conversion,[],[f743]) ).
cnf(s26,plain,
~ spl0_24,
inference(sat_conversion,[],[f766]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s25,s26]) ).
fof(f767,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:57:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.48 % (3819912)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3819917)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1656270525_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (3819918)% WARNING: option uhcvi not known.
% 0.16/0.48 % (3819918)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=846472434:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (3819919)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2191534299:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (3819920)dis+10_1_sil=32000:sp=arity:random_seed=3636330290:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (3819921)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3082445401:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (3819922)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2931931871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (3819923)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3561605315:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (3819918) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3819912-3819918"...
% 0.16/0.48 % (3819918)...printing done.
% 0.16/0.48 % (3819918)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3819918)------------------------------
% 0.16/0.48 % (3819918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3819918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3819918)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3819918)Termination reason: Refutation
% 0.16/0.48 % (3819918)Time elapsed: 0.019 s
% 0.16/0.48 % (3819918)Peak memory usage: 13 MB
% 0.16/0.48 % (3819918)Instructions burned: 25 (million)
% 0.16/0.48 % (3819912)Success in time 0.058 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------