%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV022-2 : 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 : n002.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 10:58:59 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 26 unt; 3 def)
% Number of atoms : 126 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 115 ( 56 ~; 56 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 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(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/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
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(f75,axiom,
! [X2,X0,X1] :
( def_89(X0,X1)
| f_ADD_(X2,X0) != X1
| f_SUB_(X1,X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_63) ).
fof(f76,axiom,
! [X0,X1] :
( X0 != X1
| ~ def_89(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_64) ).
fof(f77,axiom,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| ~ def_89(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_65) ).
fof(f78,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1))
| p_LES_EQU_(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_66) ).
fof(f80,axiom,
! [X0,X1] :
( X0 = X1
| ~ p_LES_EQU_(X1,X0)
| p_LES_EQU_(f_ADD_(X1,n1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_68) ).
fof(f91,axiom,
! [X0] : f_ADD_(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
fof(f152,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
inference(reorient_equations,[],[f157]) ).
fof(f159,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f160,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(definition_unfolding,[],[f158,f5]) ).
fof(f162,plain,
! [X2,X0] :
( def_89(X0,f_ADD_(X2,X0))
| f_SUB_(f_ADD_(X2,X0),X0) = X2 ),
inference(equality_resolution,[],[f75]) ).
fof(f163,plain,
! [X1] : ~ def_89(X1,X1),
inference(equality_resolution,[],[f76]) ).
fof(f178,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(f219,plain,
! [X0] : p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f220,plain,
! [X0] :
( p_LES_EQU_(X0,f_SUB_(X0,n1))
| ~ p_LES_EQU_(X0,n0) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f221,plain,
! [X0,X1] :
( ~ def_89(X1,X0)
| ~ p_LES_EQU_(X0,X1) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f222,plain,
! [X0,X1] :
( ~ p_LES_EQU_(X0,X1)
| p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f224,plain,
! [X0,X1] :
( ~ p_LES_EQU_(f_ADD_(X1,n1),X0)
| p_LES_EQU_(X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f272,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f273,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f274,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f277,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(superposition,[],[f219,f159]) ).
fof(f458,definition,
( spl0_16
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f459,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f460,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != n1
| spl0_16 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f475,definition,
( spl0_20
<=> f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f477,plain,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f522,plain,
p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),f_ADD_(n0,n1)),
inference(resolution,[],[f222,f277]) ).
fof(f529,plain,
p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1),
inference(forward_demodulation,[],[f522,f91]) ).
fof(f555,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| ~ spl0_20 ),
inference(superposition,[],[f220,f477]) ).
fof(f556,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f555,f277]) ).
fof(f560,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1 ),
inference(resolution,[],[f224,f529]) ).
fof(f582,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f560,f460]) ).
fof(f607,plain,
( def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(superposition,[],[f162,f159]) ).
fof(f1077,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = 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)) ),
inference(resolution,[],[f178,f274]) ).
fof(f1078,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = 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_20 ),
inference(forward_subsumption_resolution,[],[f1077,f556]) ).
fof(f1079,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1078,f272]) ).
fof(f1080,plain,
( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1079,f273]) ).
fof(f1081,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1080,f159]) ).
fof(f1082,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1081,f160]) ).
fof(f1083,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1085,definition,
( spl0_56
<=> def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f1087,plain,
( def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1088,plain,
( spl0_20
| spl0_56 ),
inference(avatar_split_clause,[],[f607,f1085,f475]) ).
fof(f1146,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| ~ spl0_56 ),
inference(resolution,[],[f1087,f221]) ).
fof(f1147,plain,
( $false
| spl0_16
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1146,f582]) ).
fof(f1148,plain,
( spl0_16
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1176,plain,
( def_89(n1,n1)
| ~ spl0_16
| ~ spl0_56 ),
inference(superposition,[],[f1087,f459]) ).
fof(f1177,plain,
( $false
| ~ spl0_16
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1176,f163]) ).
fof(f1178,plain,
( ~ spl0_16
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
cnf(s74,plain,
~ spl0_20,
inference(sat_conversion,[],[f1083]) ).
cnf(s75,plain,
( spl0_20
| spl0_56 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s87,plain,
( spl0_16
| ~ spl0_56 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s90,plain,
( ~ spl0_16
| ~ spl0_56 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s95,plain,
spl0_56,
inference(rat,[],[s75,s74]) ).
cnf(s96,plain,
~ spl0_16,
inference(rat,[],[s90,s95]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s87,s95,s96]) ).
fof(f1180,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV022-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 11:00:21 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.16/0.50 % (3363222)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (3363231)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2830741027:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (3363228)% WARNING: option uhcvi not known.
% 0.16/0.50 % (3363227)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2898734771_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (3363228)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=536870010:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (3363229)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2811595605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (3363230)dis+10_1_sil=32000:sp=arity:random_seed=402166342:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (3363232)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1710295980:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (3363233)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=549404543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % (3363228) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3363222-3363228"...
% 0.16/0.50 % (3363228)...printing done.
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % (3363228)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (3363228)------------------------------
% 0.16/0.50 % (3363228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3363228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3363228)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3363228)Termination reason: Refutation
% 0.16/0.50 % (3363228)Time elapsed: 0.028 s
% 0.16/0.50 % (3363228)Peak memory usage: 13 MB
% 0.16/0.50 % (3363228)Instructions burned: 39 (million)
% 0.16/0.50 % (3363222)Success in time 0.07 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------