%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI541_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 : n008.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 0.08s 0.25s
% 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 : 3 ( 2 avg)
% Number arithmetic : 30 ( 5 atm; 10 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 : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$greatereq($uminus($product(-18,-4)),-75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_5) ).
tff(f2,negated_conjecture,
~ $greatereq($uminus($product(-18,-4)),-75),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ~ $less($uminus($product(-18,-4)),-75),
inference(theory_normalization,[],[f2]) ).
tff(f22,plain,
$less($uminus($product(-18,-4)),-75),
inference(flattening,[],[f3]) ).
tff(f23,plain,
$less($uminus($product(-18,-4)),-75),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
$false,
inference(evaluation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI541_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 20:52:25 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (2629129)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2629134)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2733794918_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.25 % (2629134)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.25 % (2629134)Terminated due to inappropriate strategy.
% 0.08/0.25 % (2629134)------------------------------
% 0.08/0.25 % (2629134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2629134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2629134)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2629134)Termination reason: Inappropriate
% 0.08/0.25 % (2629134)Time elapsed: 0.0000 s
% 0.08/0.25 % (2629134)Peak memory usage: 10 MB
% 0.08/0.25 % (2629134)------------------------------
% 0.08/0.25 % (2629134)------------------------------
% 0.08/0.25 % (2629135)% WARNING: option uhcvi not known.
% 0.08/0.25 % (2629136)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2068785856:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.25 % (2629137)dis+10_1_sil=32000:sp=arity:random_seed=4155768167:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.25 % (2629138)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1994976370:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.25 % (2629139)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1837216096:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.25 % (2629140)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3962070563:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.25 % (2629136) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629136"...
% 0.08/0.25 % (2629137) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629137"...
% 0.08/0.25 % (2629139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629139"...
% 0.08/0.25 % (2629138) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629138"...
% 0.08/0.25 % (2629135)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1562555443:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.25 % (2629140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629140"...
% 0.08/0.25 % (2629136)...printing done.
% 0.08/0.25 % (2629137)...printing done.
% 0.08/0.25 % (2629139)...printing done.
% 0.08/0.25 % (2629138)...printing done.
% 0.08/0.25 % (2629135) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2629129-2629135"...
% 0.08/0.25 % (2629142)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2971041419:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.25 % (2629140)...printing done.
% 0.08/0.25 % (2629142)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.25 % (2629142)Terminated due to inappropriate strategy.
% 0.08/0.25 % (2629142)------------------------------
% 0.08/0.25 % (2629142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2629142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2629142)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2629142)Termination reason: Inappropriate
% 0.08/0.25 % (2629142)Time elapsed: 0.0000 s
% 0.08/0.25 % (2629142)Peak memory usage: 10 MB
% 0.08/0.25 % (2629142)------------------------------
% 0.08/0.25 % (2629142)------------------------------
% 0.08/0.25 % (2629136)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (2629136)------------------------------
% 0.08/0.25 % (2629136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2629136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2629136)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2629136)Termination reason: Refutation
% 0.08/0.25 % (2629136)Time elapsed: 0.001 s
% 0.08/0.25 % (2629136)Peak memory usage: 11 MB
% 0.08/0.25 % (2629129)Success in time 0.024 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------