%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV013-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 10:58:56 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f45,axiom,
! [X0] :
( ~ p_Wr(X0)
| p_Reset(X0)
| p_Rd(X0)
| ~ gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = plus(int_level(X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_35) ).
fof(f113,negated_conjecture,
~ p_Reset(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
gt(fifo_length,level(x_139)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
~ p_Rd(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
p_Wr(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f117,negated_conjecture,
level(plus(x_139,n1)) != plus(level(x_139),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f118,plain,
gt(fifo_length,int_level(x_139)),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f119,plain,
int_level(plus(x_139,n1)) != plus(int_level(x_139),n1),
inference(definition_unfolding,[],[f117,f26,f26]) ).
fof(f881,plain,
( p_Reset(x_139)
| p_Rd(x_139)
| ~ gt(fifo_length,int_level(x_139))
| int_level(plus(x_139,n1)) = plus(int_level(x_139),n1) ),
inference(resolution,[],[f45,f116]) ).
fof(f885,plain,
( p_Rd(x_139)
| ~ gt(fifo_length,int_level(x_139))
| int_level(plus(x_139,n1)) = plus(int_level(x_139),n1) ),
inference(forward_subsumption_resolution,[],[f881,f113]) ).
fof(f886,plain,
( ~ gt(fifo_length,int_level(x_139))
| int_level(plus(x_139,n1)) = plus(int_level(x_139),n1) ),
inference(forward_subsumption_resolution,[],[f885,f115]) ).
fof(f887,plain,
int_level(plus(x_139,n1)) = plus(int_level(x_139),n1),
inference(forward_subsumption_resolution,[],[f886,f118]) ).
fof(f888,plain,
$false,
inference(forward_subsumption_resolution,[],[f887,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV013-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:56:09 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.47 % (2163119)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (2163130)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1254957108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % (2163124)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=234566540_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (2163126)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3774133675:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (2163127)dis+10_1_sil=32000:sp=arity:random_seed=3133178949:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (2163128)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1238859968:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (2163129)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3653474798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (2163125)% WARNING: option uhcvi not known.
% 0.14/0.47 % (2163125)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2076725851:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % TRYING [1]
% 0.14/0.47 % TRYING [2]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % (2163125) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2163119-2163125"...
% 0.14/0.47 % (2163125)...printing done.
% 0.14/0.47 % (2163125)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (2163125)------------------------------
% 0.14/0.47 % (2163125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (2163125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (2163125)CaDiCaL version: 2.1.3
% 0.14/0.47 % (2163125)Termination reason: Refutation
% 0.14/0.47 % (2163125)Time elapsed: 0.013 s
% 0.14/0.47 % (2163125)Peak memory usage: 12 MB
% 0.14/0.47 % (2163125)Instructions burned: 31 (million)
% 0.14/0.47 % (2163119)Success in time 0.052 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------