%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 10:20:15 AM UTC 2026
% Result : Unsatisfiable 3.59s 1.39s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 43 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 16 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f11,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
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/theBenchmark.p',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(f56,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| ~ 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/theBenchmark.p',axiom_47) ).
fof(f57,plain,
! [X0] :
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(reorient_equations,[],[f56]) ).
fof(f89,axiom,
! [X0] : p_LES_EQU_(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(f152,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,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_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f160,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(resolution,[],[f11,f155]) ).
fof(f241,plain,
( ~ p_LES_EQU_(n0,n0)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(superposition,[],[f57,f160]) ).
fof(f243,plain,
( ~ p_LES_EQU_(n0,n0)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(forward_subsumption_resolution,[],[f241,f17]) ).
fof(f246,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(forward_subsumption_resolution,[],[f243,f89]) ).
fof(f247,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(forward_subsumption_resolution,[],[f246,f152]) ).
fof(f248,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(forward_subsumption_resolution,[],[f247,f153]) ).
fof(f251,plain,
( n0 != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))) ),
inference(superposition,[],[f10,f248]) ).
fof(f252,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f253,plain,
$false,
inference(forward_subsumption_resolution,[],[f252,f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:54:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.39 % (3816893)Input is clausal, will run a generic CNF schedule.
% 3.59/1.39 % (3816898)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4226606599:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.39 % (3816899)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1392824422:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.39 % (3816900)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2343207226:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.39 % (3816902)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=829621974:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.39 % (3816904)dis-21_1_sil=8000:lcm=predicate:random_seed=1045938481:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.59/1.39 % (3816901)lrs+10_1_sil=8000:sp=occurrence:random_seed=2701792190:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.39 % (3816903)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1165606387:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.39 % (3816901)First to succeed.
% 3.59/1.39 % (3816901)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3816893"
% 3.59/1.39 % (3816903)Also succeeded, but the first one will report.
% 3.59/1.39 % (3816902)Also succeeded, but the first one will report.
% 3.59/1.39 % (3816904)Instruction limit reached!
% 3.59/1.39 % (3816904)------------------------------
% 3.59/1.39 % (3816904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.39 % (3816904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.39 % (3816904)CaDiCaL version: 2.1.3
% 3.59/1.39 % (3816904)Termination reason: Instruction limit
% 3.59/1.39 % (3816904)Termination phase: Saturation
% 3.59/1.39 % (3816904)Time elapsed: 0.070 s
% 3.59/1.39 % (3816904)Peak memory usage: 89 MB
% 3.59/1.39 % (3816904)Instructions burned: 118 (million)
% 3.59/1.39 % (3816912)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2063930069:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.59/1.39 % (3816912)Refutation not found, incomplete strategy
% 3.59/1.39 % (3816912)------------------------------
% 3.59/1.39 % (3816912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.39 % (3816912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.39 % (3816912)CaDiCaL version: 2.1.3
% 3.59/1.39 % (3816912)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.39 % (3816912)Time elapsed: 0.002 s
% 3.59/1.39 % (3816912)Peak memory usage: 88 MB
% 3.59/1.39 % (3816912)Instructions burned: 1 (million)
% 3.59/1.39 % (3816901)Refutation found. Thanks to Tanya!
% 3.59/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.39 % (3816901)------------------------------
% 3.59/1.39 % (3816901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.39 % (3816901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.39 % (3816901)CaDiCaL version: 2.1.3
% 3.59/1.39 % (3816901)Termination reason: Refutation
% 3.59/1.39 % (3816901)Time elapsed: 0.005 s
% 3.59/1.39 % (3816901)Peak memory usage: 88 MB
% 3.59/1.39 % (3816901)Instructions burned: 5 (million)
% 3.59/1.39 % (3816901)------------------------------
% 3.59/1.39 % (3816901)------------------------------
% 3.59/1.39 % (3816893)Success in time 0.446 s
% 3.59/1.39 % Vampire exiting
%------------------------------------------------------------------------------