%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV030-2 : 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 : n014.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 3.47s 1.44s
% Output : Refutation 3.47s
% 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(f14,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X0,n1)) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f14]) ).
fof(f152,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f233,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f15,f152]) ).
fof(f234,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(superposition,[],[f153,f233]) ).
fof(f235,plain,
$false,
inference(forward_subsumption_resolution,[],[f234,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV030-2 : 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 : n014.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 10:59:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 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
% 3.47/1.44 % (624030)Input is clausal, will run a generic CNF schedule.
% 3.47/1.44 % (624035)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=3610089971:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.44 % (624037)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3464029974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.44 % (624040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=400930558:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.44 % (624036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2654706002:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.44 % (624040)First to succeed.
% 3.47/1.44 % (624040)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-624030"
% 3.47/1.44 % (624038)lrs+10_1_sil=8000:sp=occurrence:random_seed=1064567228:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.44 % (624039)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2901221256:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.44 % (624041)dis-21_1_sil=8000:lcm=predicate:random_seed=2483674148: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)
% 3.47/1.44 % (624038)Also succeeded, but the first one will report.
% 3.47/1.44 % (624039)Also succeeded, but the first one will report.
% 3.47/1.44 % (624041)Instruction limit reached!
% 3.47/1.44 % (624041)------------------------------
% 3.47/1.44 % (624041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (624041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (624041)CaDiCaL version: 2.1.3
% 3.47/1.44 % (624041)Termination reason: Instruction limit
% 3.47/1.44 % (624041)Termination phase: Saturation
% 3.47/1.44 % (624041)Time elapsed: 0.070 s
% 3.47/1.44 % (624041)Peak memory usage: 89 MB
% 3.47/1.44 % (624041)Instructions burned: 118 (million)
% 3.47/1.44 % (624049)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=2644460833:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.44 % (624049)Also succeeded, but the first one will report.
% 3.47/1.44 % (624040)Refutation found. Thanks to Tanya!
% 3.47/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.44 % (624040)------------------------------
% 3.47/1.44 % (624040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (624040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (624040)CaDiCaL version: 2.1.3
% 3.47/1.44 % (624040)Termination reason: Refutation
% 3.47/1.44 % (624040)Time elapsed: 0.007 s
% 3.47/1.44 % (624040)Peak memory usage: 89 MB
% 3.47/1.44 % (624040)Instructions burned: 10 (million)
% 3.47/1.44 % (624040)------------------------------
% 3.47/1.44 % (624040)------------------------------
% 3.47/1.44 % (624030)Success in time 0.407 s
% 3.47/1.44 % Vampire exiting
%------------------------------------------------------------------------------