%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV032-2 : 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 : n017.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 10:20:18 AM UTC 2026
% Result : Unsatisfiable 3.66s 1.48s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X0,n1)) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f13,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f12]) ).
fof(f152,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f161,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f13,f152]) ).
fof(f162,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(superposition,[],[f153,f161]) ).
fof(f163,plain,
$false,
inference(forward_subsumption_resolution,[],[f162,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV032-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:54:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.66/1.48 % (2369276)Input is clausal, will run a generic CNF schedule.
% 3.66/1.48 % (2369282)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3683026373:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.48 % (2369285)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3898083189:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.48 % (2369284)lrs+10_1_sil=8000:sp=occurrence:random_seed=3867723304:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.48 % (2369287)dis-21_1_sil=8000:lcm=predicate:random_seed=742558331: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)
% 3.66/1.48 % (2369281)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=1687381366:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.48 % (2369283)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=7926489:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.48 % (2369286)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1899991629:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.48 % (2369284)First to succeed.
% 3.66/1.48 % (2369285)Also succeeded, but the first one will report.
% 3.66/1.48 % (2369284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2369276"
% 3.66/1.48 % (2369286)Also succeeded, but the first one will report.
% 3.66/1.48 % (2369287)Instruction limit reached!
% 3.66/1.48 % (2369287)------------------------------
% 3.66/1.48 % (2369287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (2369287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (2369287)CaDiCaL version: 2.1.3
% 3.66/1.48 % (2369287)Termination reason: Instruction limit
% 3.66/1.48 % (2369287)Termination phase: Saturation
% 3.66/1.48 % (2369287)Time elapsed: 0.072 s
% 3.66/1.48 % (2369287)Peak memory usage: 89 MB
% 3.66/1.48 % (2369287)Instructions burned: 118 (million)
% 3.66/1.48 % (2369295)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=3276740423:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.66/1.48 % (2369295)Also succeeded, but the first one will report.
% 3.66/1.48 % (2369284)Refutation found. Thanks to Tanya!
% 3.66/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.48 % (2369284)------------------------------
% 3.66/1.48 % (2369284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (2369284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (2369284)CaDiCaL version: 2.1.3
% 3.66/1.48 % (2369284)Termination reason: Refutation
% 3.66/1.48 % (2369284)Time elapsed: 0.003 s
% 3.66/1.48 % (2369284)Peak memory usage: 88 MB
% 3.66/1.48 % (2369284)Instructions burned: 2 (million)
% 3.66/1.48 % (2369284)------------------------------
% 3.66/1.48 % (2369284)------------------------------
% 3.66/1.48 % (2369276)Success in time 0.445 s
% 3.66/1.48 % Vampire exiting
%------------------------------------------------------------------------------