%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV014-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:20:13 AM UTC 2026
% Result : Unsatisfiable 2.80s 1.36s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
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/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f152,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f157,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
inference(definition_unfolding,[],[f152,f5]) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(definition_unfolding,[],[f156,f5,f5]) ).
fof(f342,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ 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,[],[f158,f52]) ).
fof(f345,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ 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(trivial_inequality_removal,[],[f342]) ).
fof(f347,plain,
( ~ 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(forward_subsumption_resolution,[],[f345,f157]) ).
fof(f349,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f347,f155]) ).
fof(f350,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(forward_subsumption_resolution,[],[f349,f153]) ).
fof(f351,plain,
$false,
inference(forward_subsumption_resolution,[],[f350,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV014-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:58:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.36 % (2452443)Input is clausal, will run a generic CNF schedule.
% 2.80/1.36 % (2452470)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2531503676:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/1.36 % (2452470)First to succeed.
% 2.80/1.36 % (2452470)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2452443"
% 2.80/1.36 % (2452469)lrs+10_1_sil=8000:sp=occurrence:random_seed=908520039:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/1.36 % (2452467)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4170103574:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/1.36 % (2452468)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2390468054:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/1.36 % (2452466)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=3295851705:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/1.36 % (2452472)dis-21_1_sil=8000:lcm=predicate:random_seed=3938200703: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)
% 2.80/1.36 % (2452469)Also succeeded, but the first one will report.
% 2.80/1.36 % (2452471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1042667758:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/1.36 % (2452471)Also succeeded, but the first one will report.
% 2.80/1.36 % (2452472)Instruction limit reached!
% 2.80/1.36 % (2452472)------------------------------
% 2.80/1.36 % (2452472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.36 % (2452472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.36 % (2452472)CaDiCaL version: 2.1.3
% 2.80/1.36 % (2452472)Termination reason: Instruction limit
% 2.80/1.36 % (2452472)Termination phase: Saturation
% 2.80/1.36 % (2452472)Time elapsed: 0.059 s
% 2.80/1.36 % (2452472)Peak memory usage: 88 MB
% 2.80/1.36 % (2452472)Instructions burned: 119 (million)
% 2.80/1.36 % (2452470)Refutation found. Thanks to Tanya!
% 2.80/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.80/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/1.36 % (2452470)------------------------------
% 2.80/1.36 % (2452470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.36 % (2452470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.36 % (2452470)CaDiCaL version: 2.1.3
% 2.80/1.36 % (2452470)Termination reason: Refutation
% 2.80/1.36 % (2452470)Time elapsed: 0.005 s
% 2.80/1.36 % (2452470)Peak memory usage: 88 MB
% 2.80/1.36 % (2452470)Instructions burned: 8 (million)
% 2.80/1.36 % (2452470)------------------------------
% 2.80/1.36 % (2452470)------------------------------
% 2.80/1.36 % (2452443)Success in time 0.316 s
% 2.80/1.36 % Vampire exiting
%------------------------------------------------------------------------------