%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI577_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:34:54 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI577_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/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 20:53:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.20/0.30 % (2631911)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (2631918)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=184486677:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (2631917)% WARNING: option uhcvi not known.
% 0.20/0.30 % (2631917)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3910666354:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (2631916)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4249190593_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (2631919)dis+10_1_sil=32000:sp=arity:random_seed=1796186256:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (2631916)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (2631916)Terminated due to inappropriate strategy.
% 0.20/0.30 % (2631916)------------------------------
% 0.20/0.30 % (2631916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2631916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2631916)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2631916)Termination reason: Inappropriate
% 0.20/0.30 % (2631916)Time elapsed: 0.0000 s
% 0.20/0.30 % (2631920)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=298154589:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (2631916)Peak memory usage: 10 MB
% 0.20/0.30 % (2631916)------------------------------
% 0.20/0.30 % (2631916)------------------------------
% 0.20/0.30 % (2631921)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2015733731:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (2631922)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2012963876:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % (2631928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1654150011:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.30 % (2631928)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (2631928)Terminated due to inappropriate strategy.
% 0.20/0.30 % (2631928)------------------------------
% 0.20/0.30 % (2631928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2631928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2631928)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2631928)Termination reason: Inappropriate
% 0.20/0.30 % (2631928)Time elapsed: 0.0000 s
% 0.20/0.30 % (2631928)Peak memory usage: 10 MB
% 0.20/0.30 % (2631928)------------------------------
% 0.20/0.30 % (2631928)------------------------------
% 0.20/0.30 % (2631921) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2631911-2631921"...
% 0.20/0.30 % (2631921)...printing done.
% 0.20/0.30 % (2631921)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% 0.20/0.30 tff(f1,conjecture,(
% 0.20/0.30 ? [X0 : $int,X1 : $int] : ($lesseq(4,X1) & $lesseq($sum(X1,1),X0) & $lesseq($sum(X0,X1),10))),
% 0.20/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_2)).
% 0.20/0.30 tff(f2,negated_conjecture,(
% 0.20/0.30 ~ ? [X0 : $int,X1 : $int] : ($lesseq(4,X1) & $lesseq($sum(X1,1),X0) & $lesseq($sum(X0,X1),10))),
% 0.20/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.30 tff(f3,plain,(
% 0.20/0.30 ~ ? [X0 : $int,X1 : $int] : (~$less(X1,4) & ~$less(X0,$sum(X1,1)) & ~$less(10,$sum(X0,X1)))),
% 0.20/0.30 inference(theory_normalization,[],[f2])).
% 0.20/0.30 tff(f12,definition,(
% 0.20/0.30 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.20/0.30 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.30 tff(f16,plain,(
% 0.20/0.30 ! [X0 : $int,X1 : $int] : ($less(X1,4) | $less(X0,$sum(X1,1)) | $less(10,$sum(X0,X1)))),
% 0.20/0.30 inference(ennf_transformation,[],[f3])).
% 0.20/0.30 tff(f17,plain,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : ($less(X1,4) | $less(X0,$sum(X1,1)) | $less(10,$sum(X0,X1))) )),
% 0.20/0.30 inference(cnf_transformation,[],[f16])).
% 0.20/0.30 tff(f96,plain,(
% 0.20/0.30 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(4,X1)) | $less(X2,$sum(X0,1)) | $less(10,$sum(X2,X0))) )),
% 0.20/0.30 inference(resolution,[],[f12,f17])).
% 0.20/0.30 tff(f388,plain,(
% 0.20/0.30 $less($sum(4,1),$sum(4,1)) | $less(10,$sum($sum(4,1),4))),
% 0.20/0.30 inference(factoring,[],[f96])).
% 0.20/0.30 tff(f404,plain,(
% 0.20/0.30 $false),
% 0.20/0.30 inference(evaluation,[],[f388])).
% 0.20/0.30 % SZS output end Proof for theBenchmark
% 0.20/0.30 % (2631921)------------------------------
% 0.20/0.30 % (2631921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2631921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2631921)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2631921)Termination reason: Refutation
% 0.20/0.30 % (2631921)Time elapsed: 0.016 s
% 0.20/0.30 % (2631921)Peak memory usage: 12 MB
% 0.20/0.30 % (2631921)Instructions burned: 23 (million)
% 0.20/0.30 % (2631911)Success in time 0.072 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------