%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI547_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 09:34:50 AM UTC 2026
% Result : Theorem 0.26s 0.33s
% Output : Refutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI547_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n005.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 20:51:46 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.26/0.33 % (1156674)Will run a generic schedule for satisfiability detection.
% 0.26/0.33 % (1156680)% WARNING: option uhcvi not known.
% 0.26/0.33 % (1156680)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1730497315:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.33 % (1156679)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=16614178_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.33 % (1156679)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.26/0.33 % (1156679)Terminated due to inappropriate strategy.
% 0.26/0.33 % (1156679)------------------------------
% 0.26/0.33 % (1156679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (1156679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (1156679)CaDiCaL version: 2.1.3
% 0.26/0.33 % (1156679)Termination reason: Inappropriate
% 0.26/0.33 % (1156679)Time elapsed: 0.0000 s
% 0.26/0.33 % (1156679)Peak memory usage: 10 MB
% 0.26/0.33 % (1156679)------------------------------
% 0.26/0.33 % (1156679)------------------------------
% 0.26/0.33 % (1156681)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4124736747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.33 % (1156685)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=980295806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.33 % (1156684)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4085088218:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.33 % (1156683)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3310279309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.33 % (1156682)dis+10_1_sil=32000:sp=arity:random_seed=3596450807:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.33 % (1156683) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1156674-1156683"...
% 0.26/0.33 % (1156683)...printing done.
% 0.26/0.33 % (1156683)Refutation found. Thanks to Tanya!
% 0.26/0.33 % SZS status Theorem for theBenchmark
% 0.26/0.33 % SZS output start Proof for theBenchmark
% 0.26/0.33 tff(f1,conjecture,(
% 0.26/0.33 ? [X0 : $int] : ($product(X0,3) = 27 & $less(8,X0))),
% 0.26/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_11)).
% 0.26/0.33 tff(f2,negated_conjecture,(
% 0.26/0.33 ~ ? [X0 : $int] : ($product(X0,3) = 27 & $less(8,X0))),
% 0.26/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.26/0.33 tff(f8,definition,(
% 0.26/0.33 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.26/0.33 introduced(theory,[tha_non-reflexivity])).
% 0.26/0.33 tff(f12,definition,(
% 0.26/0.33 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.26/0.33 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.26/0.33 tff(f14,definition,(
% 0.26/0.33 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.26/0.33 introduced(theory,[tha_commutativity])).
% 0.26/0.33 tff(f21,plain,(
% 0.26/0.33 ! [X0 : $int] : ($product(X0,3) != 27 | ~$less(8,X0))),
% 0.26/0.33 inference(ennf_transformation,[],[f2])).
% 0.26/0.33 tff(f22,plain,(
% 0.26/0.33 ( ! [X0 : $int] : (~$less(8,X0) | $product(X0,3) != 27) )),
% 0.26/0.33 inference(cnf_transformation,[],[f21])).
% 0.26/0.33 tff(f38,plain,(
% 0.26/0.33 ( ! [X0 : $int] : ($less(X0,8) | 27 != $product($sum(X0,1),3)) )),
% 0.26/0.33 inference(resolution,[],[f12,f22])).
% 0.26/0.33 tff(f42,plain,(
% 0.26/0.33 ( ! [X0 : $int] : ($less(X0,8) | 27 != $product(3,$sum(X0,1))) )),
% 0.26/0.33 inference(forward_demodulation,[],[f38,f14])).
% 0.26/0.33 tff(f44,plain,(
% 0.26/0.33 27 != $product(3,$sum(8,1))),
% 0.26/0.33 inference(resolution,[],[f42,f8])).
% 0.26/0.33 tff(f45,plain,(
% 0.26/0.33 $false),
% 0.26/0.33 inference(evaluation,[],[f44])).
% 0.26/0.33 % SZS output end Proof for theBenchmark
% 0.26/0.33 % (1156683)------------------------------
% 0.26/0.33 % (1156683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (1156683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (1156683)CaDiCaL version: 2.1.3
% 0.26/0.33 % (1156683)Termination reason: Refutation
% 0.26/0.33 % (1156683)Time elapsed: 0.004 s
% 0.26/0.33 % (1156683)Peak memory usage: 12 MB
% 0.26/0.33 % (1156683)Instructions burned: 2 (million)
% 0.26/0.33 % (1156674)Success in time 0.041 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------