%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV032-1 : 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 : 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 10:20:18 AM UTC 2026
% Result : Unsatisfiable 0.14s 2.07s
% Output : Refutation 0.14s
% 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 : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
! [X0] :
( ~ p_Reset(X0)
| rd_level(plus(X0,n1)) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f38,plain,
! [X0] :
( ~ p_Reset(X0)
| n0 = rd_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f37]) ).
fof(f113,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f124,plain,
n0 = rd_level(plus(t_139,n1)),
inference(resolution,[],[f38,f113]) ).
fof(f125,plain,
~ gt(fifo_length,n0),
inference(superposition,[],[f114,f124]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[],[f125,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV032-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 11:04:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.14/2.07 % (2454613)Input is clausal, will run a generic CNF schedule.
% 0.14/2.07 % (2454623)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3039945054:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.14/2.07 % (2454624)lrs+10_1_sil=8000:sp=occurrence:random_seed=1811927853:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.14/2.07 % (2454622)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2192578371:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.14/2.07 % (2454626)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2945792858:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.14/2.07 % (2454621)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=3299493309:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.14/2.07 % (2454627)dis-21_1_sil=8000:lcm=predicate:random_seed=4148279945: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)
% 0.14/2.07 % (2454625)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4039666014:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.14/2.07 % (2454624)First to succeed.
% 0.14/2.07 % (2454625)Also succeeded, but the first one will report.
% 0.14/2.07 % (2454626)Also succeeded, but the first one will report.
% 0.14/2.07 % (2454624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2454613"
% 0.14/2.07 % (2454627)Instruction limit reached!
% 0.14/2.07 % (2454627)------------------------------
% 0.14/2.07 % (2454627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.07 % (2454627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.07 % (2454627)CaDiCaL version: 2.1.3
% 0.14/2.07 % (2454627)Termination reason: Instruction limit
% 0.14/2.07 % (2454627)Termination phase: Saturation
% 0.14/2.07 % (2454627)Time elapsed: 0.116 s
% 0.14/2.07 % (2454627)Peak memory usage: 88 MB
% 0.14/2.07 % (2454627)Instructions burned: 118 (million)
% 0.14/2.07 % (2454636)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=2512511761:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 0.14/2.07 % (2454636)Also succeeded, but the first one will report.
% 0.14/2.07 % (2454624)Refutation found. Thanks to Tanya!
% 0.14/2.07 % SZS status Unsatisfiable for theBenchmark
% 0.14/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.07 % (2454624)------------------------------
% 0.14/2.07 % (2454624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.07 % (2454624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.07 % (2454624)CaDiCaL version: 2.1.3
% 0.14/2.07 % (2454624)Termination reason: Refutation
% 0.14/2.07 % (2454624)Time elapsed: 0.092 s
% 0.14/2.07 % (2454624)Peak memory usage: 88 MB
% 0.14/2.07 % (2454624)Instructions burned: 2 (million)
% 0.14/2.07 % (2454624)------------------------------
% 0.14/2.07 % (2454624)------------------------------
% 0.14/2.07 % (2454613)Success in time 0.775 s
% 0.14/2.07 % Vampire exiting
%------------------------------------------------------------------------------