%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI742_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 : n026.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 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI742_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:04:42 UTC 2026
% 0.08/0.19 % 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
% 0.19/0.27 % (69701)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (69708)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=100046949:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (69707)% WARNING: option uhcvi not known.
% 0.19/0.27 % (69706)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2016585611_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (69709)dis+10_1_sil=32000:sp=arity:random_seed=3321552828:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (69707)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1414626381:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (69710)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2351901011:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (69706)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.27 % (69711)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2395808341:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (69706)Terminated due to inappropriate strategy.
% 0.19/0.27 % (69706)------------------------------
% 0.19/0.27 % (69706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (69706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (69706)CaDiCaL version: 2.1.3
% 0.19/0.27 % (69706)Termination reason: Inappropriate
% 0.19/0.27 % (69706)Time elapsed: 0.001 s
% 0.19/0.27 % (69706)Peak memory usage: 10 MB
% 0.19/0.27 % (69712)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4246867598:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (69706)------------------------------
% 0.19/0.27 % (69706)------------------------------
% 0.19/0.27 % (69709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-69701-69709"...
% 0.19/0.27 % (69707) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-69701-69707"...
% 0.19/0.27 % (69710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-69701-69710"...
% 0.19/0.27 % (69711) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-69701-69711"...
% 0.19/0.27 % (69709)...printing done.
% 0.19/0.27 % (69707)...printing done.
% 0.19/0.27 % (69709)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 tff(func_def_0, type, sqr: $real > $real).
% 0.19/0.27 tff(func_def_2, type, sqrt: $real > $real).
% 0.19/0.27 tff(f4,axiom,(
% 0.19/0.27 ! [X0 : $real] : ($lesseq(0/1,X0) => sqrt($product(X0,X0)) = X0)),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_sqrt)).
% 0.19/0.27 tff(f7,conjecture,(
% 0.19/0.27 sqrt(0/1) = 0/1),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqrt_zero)).
% 0.19/0.27 tff(f8,negated_conjecture,(
% 0.19/0.27 ~ sqrt(0/1) = 0/1),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f7])).
% 0.19/0.27 tff(f11,plain,(
% 0.19/0.27 ! [X0 : $real] : (~$less(X0,0/1) => sqrt($product(X0,X0)) = X0)),
% 0.19/0.27 inference(theory_normalization,[],[f4])).
% 0.19/0.27 tff(f19,definition,(
% 0.19/0.27 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.19/0.27 introduced(theory,[tha_non-reflexivity])).
% 0.19/0.27 tff(f31,plain,(
% 0.19/0.27 0/1 != sqrt(0/1)),
% 0.19/0.27 inference(flattening,[],[f8])).
% 0.19/0.27 tff(f34,plain,(
% 0.19/0.27 ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0/1))),
% 0.19/0.27 inference(ennf_transformation,[],[f11])).
% 0.19/0.27 tff(f42,plain,(
% 0.19/0.27 ( ! [X0 : $real] : ($less(X0,0/1) | sqrt($product(X0,X0)) = X0) )),
% 0.19/0.27 inference(cnf_transformation,[],[f34])).
% 0.19/0.27 tff(f45,plain,(
% 0.19/0.27 0/1 != sqrt(0/1)),
% 0.19/0.27 inference(cnf_transformation,[],[f31])).
% 0.19/0.27 tff(f79,plain,(
% 0.19/0.27 0/1 = sqrt($product(0/1,0/1))),
% 0.19/0.27 inference(resolution,[],[f42,f19])).
% 0.19/0.27 tff(f82,plain,(
% 0.19/0.27 0/1 = sqrt(0/1)),
% 0.19/0.27 inference(evaluation,[],[f79])).
% 0.19/0.27 tff(f83,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f82,f45])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (69709)------------------------------
% 0.19/0.27 % (69709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (69709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (69709)CaDiCaL version: 2.1.3
% 0.19/0.27 % (69709)Termination reason: Refutation
% 0.19/0.27 % (69709)Time elapsed: 0.003 s
% 0.19/0.27 % (69709)Peak memory usage: 12 MB
% 0.19/0.27 % (69709)Instructions burned: 3 (million)
% 0.19/0.27 % (69701)Success in time 0.036 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------