%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI203_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:34:11 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 15 ( 5 atm; 0 fun; 10 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$lesseq(5/12,5/12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_lesseq_problem_1) ).
tff(f2,negated_conjecture,
~ $lesseq(5/12,5/12),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ~ $less(5/12,5/12),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
$less(5/12,5/12),
inference(flattening,[],[f3]) ).
tff(f16,plain,
$less(5/12,5/12),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
$false,
inference(evaluation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI203_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:44:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.24 % (3753206)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (3753212)% WARNING: option uhcvi not known.
% 0.08/0.24 % (3753211)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3405461746_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.24 % (3753213)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2110684534:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.24 % (3753214)dis+10_1_sil=32000:sp=arity:random_seed=1844809936:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.24 % (3753212)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=67252474:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.24 % (3753215)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1624202884:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.24 % (3753216)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2267682526:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.24 % (3753217)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=789790558:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.24 % (3753211)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.24 % (3753211)Terminated due to inappropriate strategy.
% 0.08/0.24 % (3753211)------------------------------
% 0.08/0.24 % (3753211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (3753211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (3753211)CaDiCaL version: 2.1.3
% 0.08/0.24 % (3753211)Termination reason: Inappropriate
% 0.08/0.24 % (3753211)Time elapsed: 0.0000 s
% 0.08/0.24 % (3753214) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753214"...
% 0.08/0.24 % (3753212) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753212"...
% 0.08/0.24 % (3753213) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753213"...
% 0.08/0.24 % (3753211)Peak memory usage: 10 MB
% 0.08/0.24 % (3753215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753215"...
% 0.08/0.24 % (3753216) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753216"...
% 0.08/0.24 % (3753217) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3753206-3753217"...
% 0.08/0.24 % (3753211)------------------------------
% 0.08/0.24 % (3753211)------------------------------
% 0.08/0.24 % (3753214)...printing done.
% 0.08/0.24 % (3753212)...printing done.
% 0.08/0.24 % (3753213)...printing done.
% 0.08/0.24 % (3753215)...printing done.
% 0.08/0.24 % (3753216)...printing done.
% 0.08/0.24 % (3753217)...printing done.
% 0.08/0.24 % (3753212)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (3753212)------------------------------
% 0.08/0.24 % (3753212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (3753212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (3753212)CaDiCaL version: 2.1.3
% 0.08/0.24 % (3753212)Termination reason: Refutation
% 0.08/0.24 % (3753212)Time elapsed: 0.001 s
% 0.08/0.24 % (3753212)Peak memory usage: 11 MB
% 0.08/0.24 % (3753206)Success in time 0.024 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------