%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV027-2 : 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 : n020.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 10:20:17 AM UTC 2026
% Result : Unsatisfiable 2.52s 1.30s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 25 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 6 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 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(f61,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = 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/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f62,plain,
! [X0] :
( 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,[],[f61]) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
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,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f156,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(definition_unfolding,[],[f155,f5,f5]) ).
fof(f228,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| 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,[],[f156,f62]) ).
fof(f230,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(trivial_inequality_removal,[],[f228]) ).
fof(f231,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f230,f154]) ).
fof(f233,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(forward_subsumption_resolution,[],[f231,f152]) ).
fof(f244,plain,
$false,
inference(forward_subsumption_resolution,[],[f233,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV027-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:59:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 2.52/1.30 % (3204351)Input is clausal, will run a generic CNF schedule.
% 2.52/1.30 % (3204360)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=597753470:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/1.30 % (3204360)First to succeed.
% 2.52/1.30 % (3204360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3204351"
% 2.52/1.30 % (3204356)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=1853729209:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/1.30 % (3204359)lrs+10_1_sil=8000:sp=occurrence:random_seed=2861556753:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/1.30 % (3204358)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=758988960:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/1.30 % (3204357)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2950272675:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/1.30 % (3204359)Also succeeded, but the first one will report.
% 2.52/1.30 % (3204361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1255465022:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/1.30 % (3204362)dis-21_1_sil=8000:lcm=predicate:random_seed=2397810574: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)
% 2.52/1.30 % (3204361)Also succeeded, but the first one will report.
% 2.52/1.30 % (3204362)Instruction limit reached!
% 2.52/1.30 % (3204362)------------------------------
% 2.52/1.30 % (3204362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.30 % (3204362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.30 % (3204362)CaDiCaL version: 2.1.3
% 2.52/1.30 % (3204362)Termination reason: Instruction limit
% 2.52/1.30 % (3204362)Termination phase: Saturation
% 2.52/1.30 % (3204362)Time elapsed: 0.055 s
% 2.52/1.30 % (3204362)Peak memory usage: 89 MB
% 2.52/1.30 % (3204362)Instructions burned: 119 (million)
% 2.52/1.30 % (3204360)Refutation found. Thanks to Tanya!
% 2.52/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.52/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/1.30 % (3204360)------------------------------
% 2.52/1.30 % (3204360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.30 % (3204360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.30 % (3204360)CaDiCaL version: 2.1.3
% 2.52/1.30 % (3204360)Termination reason: Refutation
% 2.52/1.30 % (3204360)Time elapsed: 0.003 s
% 2.52/1.30 % (3204360)Peak memory usage: 88 MB
% 2.52/1.30 % (3204360)Instructions burned: 5 (million)
% 2.52/1.30 % (3204360)------------------------------
% 2.52/1.30 % (3204360)------------------------------
% 2.52/1.30 % (3204351)Success in time 0.286 s
% 2.52/1.30 % Vampire exiting
%------------------------------------------------------------------------------