%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI611_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 : n007.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 09:34:58 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI611_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % 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 20:51:41 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (2809132)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2809142)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2661760592:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.25 % (2809139)% WARNING: option uhcvi not known.
% 0.08/0.25 % (2809138)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3241120811_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.25 % (2809139)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3655825832:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.25 % (2809140)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3448083766:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.25 % (2809141)dis+10_1_sil=32000:sp=arity:random_seed=3589773709:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.25 % (2809138)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.25 % (2809138)Terminated due to inappropriate strategy.
% 0.08/0.25 % (2809138)------------------------------
% 0.08/0.25 % (2809138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2809138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2809138)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2809138)Termination reason: Inappropriate
% 0.08/0.25 % (2809138)Time elapsed: 0.0000 s
% 0.08/0.25 % (2809138)Peak memory usage: 10 MB
% 0.08/0.25 % (2809143)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3545980907:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.25 % (2809138)------------------------------
% 0.08/0.25 % (2809138)------------------------------
% 0.08/0.25 % (2809144)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2726749399:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.25 % (2809143) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2809132-2809143"...
% 0.08/0.25 % (2809141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2809132-2809141"...
% 0.08/0.25 % (2809143)...printing done.
% 0.08/0.25 % (2809143)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% 0.08/0.25 tff(pred_def_1, type, p: $int > $o).
% 0.08/0.25 tff(pred_def_2, type, q: $int > $o).
% 0.08/0.25 tff(f1,conjecture,(
% 0.08/0.25 (! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X0 : $int] : (($less(8,X0) & $less(X0,18)) <=> q(X0))) => ? [X0 : $int] : (p(X0) & q(X0))),
% 0.08/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_5_15_and_8_18_intersect)).
% 0.08/0.25 tff(f2,negated_conjecture,(
% 0.08/0.25 ~((! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X0 : $int] : (($less(8,X0) & $less(X0,18)) <=> q(X0))) => ? [X0 : $int] : (p(X0) & q(X0)))),
% 0.08/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.25 tff(f8,definition,(
% 0.08/0.25 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.08/0.25 introduced(theory,[tha_non-reflexivity])).
% 0.08/0.25 tff(f12,definition,(
% 0.08/0.25 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.08/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.08/0.25 tff(f15,plain,(
% 0.08/0.25 ~((! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,18)) <=> q(X1))) => ? [X2 : $int] : (p(X2) & q(X2)))),
% 0.08/0.25 inference(rectify,[],[f2])).
% 0.08/0.25 tff(f16,plain,(
% 0.08/0.25 ! [X2 : $int] : (~p(X2) | ~q(X2)) & (! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,18)) <=> q(X1)))),
% 0.08/0.25 inference(ennf_transformation,[],[f15])).
% 0.08/0.25 tff(f17,plain,(
% 0.08/0.25 ! [X2 : $int] : (~p(X2) | ~q(X2)) & ! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,18)) <=> q(X1))),
% 0.08/0.25 inference(flattening,[],[f16])).
% 0.08/0.25 tff(f18,plain,(
% 0.08/0.25 ! [X2 : $int] : (~p(X2) | ~q(X2)) & ! [X0 : $int] : ((($less(5,X0) & $less(X0,15)) | ~p(X0)) & (p(X0) | (~$less(5,X0) | ~$less(X0,15)))) & ! [X1 : $int] : ((($less(8,X1) & $less(X1,18)) | ~q(X1)) & (q(X1) | (~$less(8,X1) | ~$less(X1,18))))),
% 0.08/0.25 inference(nnf_transformation,[],[f17])).
% 0.08/0.25 tff(f19,plain,(
% 0.08/0.25 ! [X2 : $int] : (~p(X2) | ~q(X2)) & ! [X0 : $int] : ((($less(5,X0) & $less(X0,15)) | ~p(X0)) & (p(X0) | ~$less(5,X0) | ~$less(X0,15))) & ! [X1 : $int] : ((($less(8,X1) & $less(X1,18)) | ~q(X1)) & (q(X1) | ~$less(8,X1) | ~$less(X1,18)))),
% 0.08/0.25 inference(flattening,[],[f18])).
% 0.08/0.25 tff(f20,plain,(
% 0.08/0.25 ! [X0 : $int] : (~p(X0) | ~q(X0)) & ! [X1 : $int] : ((($less(5,X1) & $less(X1,15)) | ~p(X1)) & (p(X1) | ~$less(5,X1) | ~$less(X1,15))) & ! [X2 : $int] : ((($less(8,X2) & $less(X2,18)) | ~q(X2)) & (q(X2) | ~$less(8,X2) | ~$less(X2,18)))),
% 0.08/0.25 inference(rectify,[],[f19])).
% 0.08/0.25 tff(f21,plain,(
% 0.08/0.25 ( ! [X2 : $int] : (~$less(8,X2) | q(X2) | ~$less(X2,18)) )),
% 0.08/0.25 inference(cnf_transformation,[],[f20])).
% 0.08/0.25 tff(f24,plain,(
% 0.08/0.25 ( ! [X1 : $int] : (~$less(5,X1) | p(X1) | ~$less(X1,15)) )),
% 0.08/0.25 inference(cnf_transformation,[],[f20])).
% 0.08/0.25 tff(f27,plain,(
% 0.08/0.25 ( ! [X0 : $int] : (~q(X0) | ~p(X0)) )),
% 0.08/0.25 inference(cnf_transformation,[],[f20])).
% 0.08/0.25 tff(f35,plain,(
% 0.08/0.25 ( ! [X0 : $int] : ($less(X0,$sum(5,1)) | p(X0) | ~$less(X0,15)) )),
% 0.08/0.25 inference(resolution,[],[f12,f24])).
% 0.08/0.25 tff(f38,plain,(
% 0.08/0.25 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.08/0.25 inference(resolution,[],[f12,f8])).
% 0.08/0.25 tff(f41,plain,(
% 0.08/0.25 ( ! [X0 : $int] : (~$less(X0,15) | p(X0) | $less(X0,6)) )),
% 0.08/0.25 inference(evaluation,[],[f35])).
% 0.08/0.25 tff(f45,plain,(
% 0.08/0.25 ( ! [X0 : $int] : (p(X0) | $less(X0,6) | $less(15,$sum(X0,1))) )),
% 0.08/0.25 inference(resolution,[],[f41,f12])).
% 0.08/0.25 tff(f141,plain,(
% 0.08/0.25 q($sum(8,1)) | ~$less($sum(8,1),18)),
% 0.08/0.25 inference(resolution,[],[f38,f21])).
% 0.08/0.25 tff(f150,plain,(
% 0.08/0.25 q(9)),
% 0.08/0.25 inference(evaluation,[],[f141])).
% 0.08/0.25 tff(f182,plain,(
% 0.08/0.25 ~p(9)),
% 0.08/0.25 inference(resolution,[],[f150,f27])).
% 0.08/0.25 tff(f211,plain,(
% 0.08/0.25 $less(9,6) | $less(15,$sum(9,1))),
% 0.08/0.25 inference(resolution,[],[f182,f45])).
% 0.08/0.25 tff(f212,plain,(
% 0.08/0.25 $false),
% 0.08/0.25 inference(evaluation,[],[f211])).
% 0.08/0.25 % SZS output end Proof for theBenchmark
% 0.08/0.25 % (2809143)------------------------------
% 0.08/0.25 % (2809143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2809143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2809143)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2809143)Termination reason: Refutation
% 0.08/0.25 % (2809143)Time elapsed: 0.007 s
% 0.08/0.25 % (2809143)Peak memory usage: 12 MB
% 0.08/0.25 % (2809143)Instructions burned: 9 (million)
% 0.08/0.25 % (2809132)Success in time 0.03 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------