%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV023-2 : 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 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 20 unt; 0 def)
% Number of atoms : 54 ( 23 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f10,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_8) ).
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(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
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(f91,axiom,
! [X0] : f_ADD_(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
fof(f152,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f158,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f160,plain,
! [X2,X0] :
( def_89(X0,f_ADD_(X2,X0))
| f_SUB_(f_ADD_(X2,X0),X0) = X2 ),
inference(equality_resolution,[],[f75]) ).
fof(f161,plain,
! [X1] : ~ def_89(X1,X1),
inference(equality_resolution,[],[f76]) ).
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(f196,plain,
! [X0] : p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f199,plain,
! [X2,X0] :
( ~ def_89(X0,f_ADD_(X2,X0))
| f_SUB_(f_ADD_(X2,X0),X0) = X2 ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f200,plain,
! [X1] : def_89(X1,X1),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f224,plain,
p_LES_EQU_(n1,n0),
inference(superposition,[],[f196,f91]) ).
fof(f227,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f10,f157]) ).
fof(f393,plain,
! [X0] :
( ~ def_89(X0,X0)
| n0 = f_SUB_(X0,X0) ),
inference(superposition,[],[f199,f91]) ).
fof(f395,plain,
! [X0] : n0 = f_SUB_(X0,X0),
inference(forward_subsumption_resolution,[],[f393,f200]) ).
fof(f898,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,f154]) ).
fof(f908,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,[],[f898,f156]) ).
fof(f909,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,[],[f908,f155]) ).
fof(f910,plain,
( ~ p_LES_EQU_(n1,n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[],[f909,f158]) ).
fof(f911,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(forward_subsumption_resolution,[],[f910,f224]) ).
fof(f912,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1),
inference(forward_demodulation,[],[f911,f158]) ).
fof(f913,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(forward_demodulation,[],[f912,f395]) ).
fof(f914,plain,
$false,
inference(forward_subsumption_resolution,[],[f913,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV023-2 : 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 11:00:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.16/0.49 % (3362803)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (3362808)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1006732953_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % (3362809)% WARNING: option uhcvi not known.
% 0.16/0.49 % (3362809)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2497704135:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (3362810)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2246366725:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (3362811)dis+10_1_sil=32000:sp=arity:random_seed=1079143588:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (3362813)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2767306143:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (3362812)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4041031046:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (3362814)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4214785769:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % TRYING [4]
% 0.16/0.49 % (3362809) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3362803-3362809"...
% 0.16/0.49 % (3362809)...printing done.
% 0.16/0.49 % (3362809)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (3362809)------------------------------
% 0.16/0.49 % (3362809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (3362809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (3362809)CaDiCaL version: 2.1.3
% 0.16/0.49 % (3362809)Termination reason: Refutation
% 0.16/0.49 % (3362809)Time elapsed: 0.024 s
% 0.16/0.49 % (3362809)Peak memory usage: 12 MB
% 0.16/0.49 % (3362809)Instructions burned: 33 (million)
% 0.16/0.49 % (3362803)Success in time 0.061 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------