%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI109_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 : n005.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 09:34:03 AM UTC 2026
% Result : Theorem 0.26s 0.37s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 16 ( 0 atm; 4 fun; 12 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 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,
$product(5,-2) = -10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5_n2_n10) ).
tff(f2,negated_conjecture,
( ( ~ $product(5,-2) ) = -10 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
$product(5,-2) != -10,
inference(flattening,[],[f2]) ).
tff(f22,plain,
$product(5,-2) != -10,
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
$false,
inference(evaluation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI109_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n005.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 20:42:46 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 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
% 0.26/0.37 % (1134682)Will run a generic schedule for satisfiability detection.
% 0.26/0.37 % (1134687)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1661599916_3000 on theBenchmark for (3000ds/0Mi)
% 0.26/0.37 % (1134687)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.26/0.37 % (1134687)Terminated due to inappropriate strategy.
% 0.26/0.37 % (1134687)------------------------------
% 0.26/0.37 % (1134687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.37 % (1134687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.37 % (1134687)CaDiCaL version: 2.1.3
% 0.26/0.37 % (1134687)Termination reason: Inappropriate
% 0.26/0.37 % (1134687)Time elapsed: 0.0000 s
% 0.26/0.37 % (1134687)Peak memory usage: 10 MB
% 0.26/0.37 % (1134687)------------------------------
% 0.26/0.37 % (1134687)------------------------------
% 0.26/0.37 % (1134688)% WARNING: option uhcvi not known.
% 0.26/0.37 % (1134689)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=960044510:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.26/0.37 % (1134688)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3729056409:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.26/0.37 % (1134690)dis+10_1_sil=32000:sp=arity:random_seed=1242686031:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.26/0.37 % (1134691)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3124775537:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.26/0.37 % (1134692)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1042184757:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.26/0.37 % (1134693)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2082208543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.26/0.37 % (1134688) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134688"...
% 0.26/0.37 % (1134690) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134690"...
% 0.26/0.37 % (1134689) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134689"...
% 0.26/0.37 % (1134692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134692"...
% 0.26/0.37 % (1134691) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134691"...
% 0.26/0.37 % (1134693) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1134682-1134693"...
% 0.26/0.37 % (1134689)...printing done.
% 0.26/0.37 % (1134688)...printing done.
% 0.26/0.37 % (1134690)...printing done.
% 0.26/0.37 % (1134691)...printing done.
% 0.26/0.37 % (1134692)...printing done.
% 0.26/0.37 % (1134693)...printing done.
% 0.26/0.37 % (1134689)Refutation found. Thanks to Tanya!
% 0.26/0.37 % SZS status Theorem for theBenchmark
% 0.26/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.37 % (1134689)------------------------------
% 0.26/0.37 % (1134689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.37 % (1134689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.37 % (1134689)CaDiCaL version: 2.1.3
% 0.26/0.37 % (1134689)Termination reason: Refutation
% 0.26/0.37 % (1134689)Time elapsed: 0.002 s
% 0.26/0.37 % (1134689)Peak memory usage: 11 MB
% 0.26/0.37 % (1134682)Success in time 0.038 s
% 0.26/0.37 % Vampire exiting
%------------------------------------------------------------------------------