%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI540_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:34:49 AM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% 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 : 2 ( 1 avg)
% Number arithmetic : 25 ( 5 atm; 5 fun; 15 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 : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$lesseq($product(5,7),36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_4) ).
tff(f2,negated_conjecture,
~ $lesseq($product(5,7),36),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ~ $less(36,$product(5,7)),
inference(theory_normalization,[],[f2]) ).
tff(f22,plain,
$less(36,$product(5,7)),
inference(flattening,[],[f3]) ).
tff(f23,plain,
$less(36,$product(5,7)),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
$false,
inference(evaluation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI540_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n004.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:51:22 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.23 % (757392)Will run a generic schedule for satisfiability detection.
% 0.07/0.23 % (757402)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3222671140_3000 on theBenchmark for (3000ds/0Mi)
% 0.07/0.23 % (757402)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.23 % (757402)Terminated due to inappropriate strategy.
% 0.07/0.23 % (757402)------------------------------
% 0.07/0.23 % (757402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.23 % (757402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.23 % (757402)CaDiCaL version: 2.1.3
% 0.07/0.23 % (757402)Termination reason: Inappropriate
% 0.07/0.23 % (757402)Time elapsed: 0.0000 s
% 0.07/0.23 % (757402)Peak memory usage: 10 MB
% 0.07/0.23 % (757402)------------------------------
% 0.07/0.23 % (757402)------------------------------
% 0.07/0.23 % (757403)% WARNING: option uhcvi not known.
% 0.07/0.23 % (757405)dis+10_1_sil=32000:sp=arity:random_seed=958376998:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.07/0.23 % (757406)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3037166454:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.07/0.23 % (757403)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3199102293:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.07/0.23 % (757408)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2753005443:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.07/0.23 % (757407)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3342599301:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.07/0.23 % (757405) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757405"...
% 0.07/0.23 % (757404)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=735466079:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.07/0.23 % (757406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757406"...
% 0.07/0.23 % (757403) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757403"...
% 0.07/0.23 % (757408) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757408"...
% 0.07/0.24 % (757407) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757407"...
% 0.07/0.24 % (757406)...printing done.
% 0.07/0.24 % (757405)...printing done.
% 0.07/0.24 % (757404) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757392-757404"...
% 0.07/0.24 % (757408)...printing done.
% 0.07/0.24 % (757407)...printing done.
% 0.07/0.24 % (757410)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1514141340:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.07/0.24 % (757403)...printing done.
% 0.07/0.24 % (757405)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (757405)------------------------------
% 0.07/0.24 % (757405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (757405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (757405)CaDiCaL version: 2.1.3
% 0.07/0.24 % (757405)Termination reason: Refutation
% 0.07/0.24 % (757405)Time elapsed: 0.001 s
% 0.07/0.24 % (757405)Peak memory usage: 11 MB
% 0.07/0.24 % (757392)Success in time 0.025 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------