%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI744_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:35:10 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI744_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:05:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.28 % (3017370)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (3017382)dis+10_1_sil=32000:sp=arity:random_seed=3996167942:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (3017380)% WARNING: option uhcvi not known.
% 0.21/0.28 % (3017379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=955193409_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (3017382) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3017370-3017382"...
% 0.21/0.28 % (3017383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2988017456:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (3017379)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.28 % (3017379)Terminated due to inappropriate strategy.
% 0.21/0.28 % (3017379)------------------------------
% 0.21/0.28 % (3017379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3017379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3017379)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3017379)Termination reason: Inappropriate
% 0.21/0.28 % (3017379)Time elapsed: 0.0000 s
% 0.21/0.28 % (3017379)Peak memory usage: 10 MB
% 0.21/0.28 % (3017384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4044892096:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (3017382)...printing done.
% 0.21/0.28 % (3017385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4121016126:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (3017380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1292007865:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (3017381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2244594613:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (3017379)------------------------------
% 0.21/0.28 % (3017379)------------------------------
% 0.21/0.28 % (3017382)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% 0.21/0.28 tff(func_def_0, type, sqr: $real > $real).
% 0.21/0.28 tff(func_def_2, type, sqrt: $real > $real).
% 0.21/0.28 tff(f4,axiom,(
% 0.21/0.28 ! [X0 : $real] : ($lesseq(0/1,X0) => sqrt($product(X0,X0)) = X0)),
% 0.21/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_sqrt)).
% 0.21/0.28 tff(f9,conjecture,(
% 0.21/0.28 sqrt(4/1) = 2/1),
% 0.21/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqrt_four)).
% 0.21/0.28 tff(f10,negated_conjecture,(
% 0.21/0.28 ~ sqrt(4/1) = 2/1),
% 0.21/0.28 inference(negated_conjecture,[status(cth)],[f9])).
% 0.21/0.28 tff(f13,plain,(
% 0.21/0.28 ! [X0 : $real] : (~$less(X0,0/1) => sqrt($product(X0,X0)) = X0)),
% 0.21/0.28 inference(theory_normalization,[],[f4])).
% 0.21/0.28 tff(f16,definition,(
% 0.21/0.28 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.21/0.28 introduced(theory,[tha_commutativity])).
% 0.21/0.28 tff(f21,definition,(
% 0.21/0.28 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.21/0.28 introduced(theory,[tha_non-reflexivity])).
% 0.21/0.28 tff(f22,definition,(
% 0.21/0.28 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.21/0.28 introduced(theory,[tha_transitivity])).
% 0.21/0.28 tff(f25,definition,(
% 0.21/0.28 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.21/0.28 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.21/0.28 tff(f33,plain,(
% 0.21/0.28 sqrt(4/1) != 2/1),
% 0.21/0.28 inference(flattening,[],[f10])).
% 0.21/0.28 tff(f36,plain,(
% 0.21/0.28 ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0/1))),
% 0.21/0.28 inference(ennf_transformation,[],[f13])).
% 0.21/0.28 tff(f44,plain,(
% 0.21/0.28 ( ! [X0 : $real] : ($less(X0,0/1) | sqrt($product(X0,X0)) = X0) )),
% 0.21/0.28 inference(cnf_transformation,[],[f36])).
% 0.21/0.28 tff(f49,plain,(
% 0.21/0.28 sqrt(4/1) != 2/1),
% 0.21/0.28 inference(cnf_transformation,[],[f33])).
% 0.21/0.28 tff(f68,plain,(
% 0.21/0.28 ( ! [X0 : $real] : ($less(X0,$sum(X0,1/1))) )),
% 0.21/0.28 inference(resolution,[],[f25,f21])).
% 0.21/0.28 tff(f74,plain,(
% 0.21/0.28 ( ! [X0 : $real,X1 : $real] : ($less(X0,$sum(X1,1/1)) | ~$less(X0,X1)) )),
% 0.21/0.28 inference(resolution,[],[f22,f68])).
% 0.21/0.28 tff(f280,plain,(
% 0.21/0.28 ( ! [X0 : $real] : (~$less($sum(X0,1/1),X0)) )),
% 0.21/0.28 inference(resolution,[],[f74,f21])).
% 0.21/0.28 tff(f316,plain,(
% 0.21/0.28 ( ! [X0 : $real] : (~$less($sum($sum(X0,1/1),1/1),X0)) )),
% 0.21/0.28 inference(resolution,[],[f280,f74])).
% 0.21/0.28 tff(f328,plain,(
% 0.21/0.28 ( ! [X0 : $real] : (~$less($sum(1/1,$sum(X0,1/1)),X0)) )),
% 0.21/0.28 inference(forward_demodulation,[],[f316,f16])).
% 0.21/0.28 tff(f468,plain,(
% 0.21/0.28 $sum(1/1,$sum(0/1,1/1)) = sqrt($product($sum(1/1,$sum(0/1,1/1)),$sum(1/1,$sum(0/1,1/1))))),
% 0.21/0.28 inference(resolution,[],[f328,f44])).
% 0.21/0.28 tff(f477,plain,(
% 0.21/0.28 sqrt(4/1) = 2/1),
% 0.21/0.28 inference(evaluation,[],[f468])).
% 0.21/0.28 tff(f484,plain,(
% 0.21/0.28 $false),
% 0.21/0.28 inference(forward_subsumption_resolution,[],[f477,f49])).
% 0.21/0.28 % SZS output end Proof for theBenchmark
% 0.21/0.28 % (3017382)------------------------------
% 0.21/0.28 % (3017382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3017382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3017382)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3017382)Termination reason: Refutation
% 0.21/0.28 % (3017382)Time elapsed: 0.008 s
% 0.21/0.28 % (3017382)Peak memory usage: 12 MB
% 0.21/0.28 % (3017382)Instructions burned: 20 (million)
% 0.21/0.28 % (3017370)Success in time 0.035 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------