%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT015_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 : n009.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 09:47:57 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT015_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:05:31 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.29 % (3617827)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3617836)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3589374250:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3617833)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3617833)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=231410047:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3617832)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4001794460_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3617834)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3289483063:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3617835)dis+10_1_sil=32000:sp=arity:random_seed=3893047642:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3617832)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.29 % (3617832)Terminated due to inappropriate strategy.
% 0.19/0.29 % (3617832)------------------------------
% 0.19/0.29 % (3617832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3617832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3617832)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3617832)Termination reason: Inappropriate
% 0.19/0.29 % (3617832)Time elapsed: 0.0000 s
% 0.19/0.29 % (3617832)Peak memory usage: 10 MB
% 0.19/0.29 % (3617837)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1494440551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (3617838)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2599553598:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3617832)------------------------------
% 0.19/0.29 % (3617832)------------------------------
% 0.19/0.29 % (3617834) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3617827-3617834"...
% 0.19/0.29 % (3617834)...printing done.
% 0.19/0.29 % (3617834)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% 0.19/0.29 tff(type_def_5, type, array: $tType).
% 0.19/0.29 tff(func_def_0, type, read: (array * $int) > $int).
% 0.19/0.29 tff(func_def_1, type, write: (array * $int * $int) > array).
% 0.19/0.29 tff(func_def_10, type, sK0: array).
% 0.19/0.29 tff(f3,conjecture,(
% 0.19/0.29 ! [X0 : array] : (! [X1 : $int] : (($lesseq(20,X1) & $lesseq(X1,30)) => read(X0,X1) = $sum(X1,25)) => ? [X2 : $int] : read(X0,X2) = 50)),
% 0.19/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 0.19/0.29 tff(f4,negated_conjecture,(
% 0.19/0.29 ~ ! [X0 : array] : (! [X1 : $int] : (($lesseq(20,X1) & $lesseq(X1,30)) => read(X0,X1) = $sum(X1,25)) => ? [X2 : $int] : read(X0,X2) = 50)),
% 0.19/0.29 inference(negated_conjecture,[status(cth)],[f3])).
% 0.19/0.29 tff(f5,plain,(
% 0.19/0.29 ~ ! [X0 : array] : (! [X1 : $int] : ((~$less(X1,20) & ~$less(30,X1)) => read(X0,X1) = $sum(X1,25)) => ? [X2 : $int] : read(X0,X2) = 50)),
% 0.19/0.29 inference(theory_normalization,[],[f4])).
% 0.19/0.29 tff(f6,definition,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.29 introduced(theory,[tha_commutativity])).
% 0.19/0.29 tff(f11,definition,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.19/0.29 introduced(theory,[tha_non-reflexivity])).
% 0.19/0.29 tff(f12,definition,(
% 0.19/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.19/0.29 introduced(theory,[tha_transitivity])).
% 0.19/0.29 tff(f15,definition,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.19/0.29 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.19/0.29 tff(f18,plain,(
% 0.19/0.29 ? [X0 : array] : (! [X2 : $int] : read(X0,X2) != 50 & ! [X1 : $int] : (read(X0,X1) = $sum(X1,25) | ($less(X1,20) | $less(30,X1))))),
% 0.19/0.29 inference(ennf_transformation,[],[f5])).
% 0.19/0.29 tff(f19,plain,(
% 0.19/0.29 ? [X0 : array] : (! [X2 : $int] : read(X0,X2) != 50 & ! [X1 : $int] : (read(X0,X1) = $sum(X1,25) | $less(X1,20) | $less(30,X1)))),
% 0.19/0.29 inference(flattening,[],[f18])).
% 0.19/0.29 tff(f20,plain,(
% 0.19/0.29 ? [X0 : array] : (! [X1 : $int] : read(X0,X1) != 50 & ! [X2 : $int] : (read(X0,X2) = $sum(X2,25) | $less(X2,20) | $less(30,X2)))),
% 0.19/0.29 inference(rectify,[],[f19])).
% 0.19/0.29 tff(f21,plain,(
% 0.19/0.29 ! [X1 : $int] : 50 != read(sK0,X1) & ! [X2 : $int] : ($sum(X2,25) = read(sK0,X2) | $less(X2,20) | $less(30,X2))),
% 0.19/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20])).
% 0.19/0.29 tff(f24,plain,(
% 0.19/0.29 ( ! [X2 : $int] : ($less(30,X2) | $less(X2,20) | $sum(X2,25) = read(sK0,X2)) )),
% 0.19/0.29 inference(cnf_transformation,[],[f21])).
% 0.19/0.29 tff(f25,plain,(
% 0.19/0.29 ( ! [X1 : $int] : (50 != read(sK0,X1)) )),
% 0.19/0.29 inference(cnf_transformation,[],[f21])).
% 0.19/0.29 tff(f155,plain,(
% 0.19/0.29 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.19/0.29 inference(resolution,[],[f15,f11])).
% 0.19/0.29 tff(f366,plain,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,1)) | ~$less(X0,X1)) )),
% 0.19/0.29 inference(resolution,[],[f12,f155])).
% 0.19/0.29 tff(f378,plain,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less($sum(X0,1),X0)) )),
% 0.19/0.29 inference(resolution,[],[f366,f11])).
% 0.19/0.29 tff(f387,plain,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less($sum($sum(X0,1),1),X0)) )),
% 0.19/0.29 inference(resolution,[],[f378,f366])).
% 0.19/0.29 tff(f398,plain,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less($sum(1,$sum(X0,1)),X0)) )),
% 0.19/0.29 inference(forward_demodulation,[],[f387,f6])).
% 0.19/0.29 tff(f433,plain,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less($sum(1,$sum($sum(X0,1),1)),X0)) )),
% 0.19/0.29 inference(resolution,[],[f398,f366])).
% 0.19/0.29 tff(f444,plain,(
% 0.19/0.29 ( ! [X0 : $int] : (~$less($sum(1,$sum(1,$sum(X0,1))),X0)) )),
% 0.19/0.30 inference(forward_demodulation,[],[f433,f6])).
% 0.19/0.30 tff(f550,plain,(
% 0.19/0.30 ( ! [X0 : $int] : (~$less($sum(1,$sum(1,$sum($sum(X0,1),1))),X0)) )),
% 0.19/0.30 inference(resolution,[],[f444,f366])).
% 0.19/0.30 tff(f561,plain,(
% 0.19/0.30 ( ! [X0 : $int] : (~$less($sum(1,$sum(1,$sum(1,$sum(X0,1)))),X0)) )),
% 0.19/0.30 inference(forward_demodulation,[],[f550,f6])).
% 0.19/0.30 tff(f619,plain,(
% 0.19/0.30 ( ! [X0 : $int] : (~$less($sum(1,$sum(1,$sum(1,$sum($sum(X0,1),1)))),X0)) )),
% 0.19/0.30 inference(resolution,[],[f561,f366])).
% 0.19/0.30 tff(f630,plain,(
% 0.19/0.30 ( ! [X0 : $int] : (~$less($sum(1,$sum(1,$sum(1,$sum(1,$sum(X0,1))))),X0)) )),
% 0.19/0.30 inference(forward_demodulation,[],[f619,f6])).
% 0.19/0.30 tff(f758,plain,(
% 0.19/0.30 $less(30,$sum(1,$sum(1,$sum(1,$sum(1,$sum(20,1)))))) | $sum($sum(1,$sum(1,$sum(1,$sum(1,$sum(20,1))))),25) = read(sK0,$sum(1,$sum(1,$sum(1,$sum(1,$sum(20,1))))))),
% 0.19/0.30 inference(resolution,[],[f630,f24])).
% 0.19/0.30 tff(f767,plain,(
% 0.19/0.30 50 = read(sK0,25)),
% 0.19/0.30 inference(evaluation,[],[f758])).
% 0.19/0.30 tff(f771,plain,(
% 0.19/0.30 $false),
% 0.19/0.30 inference(forward_subsumption_resolution,[],[f767,f25])).
% 0.19/0.30 % SZS output end Proof for theBenchmark
% 0.19/0.30 % (3617834)------------------------------
% 0.19/0.30 % (3617834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3617834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3617834)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3617834)Termination reason: Refutation
% 0.19/0.30 % (3617834)Time elapsed: 0.017 s
% 0.19/0.30 % (3617834)Peak memory usage: 12 MB
% 0.19/0.30 % (3617834)Instructions burned: 24 (million)
% 0.19/0.30 % (3617827)Success in time 0.055 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------