%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI741_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 : n013.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 0.47s 0.39s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI741_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 % Computer : n013.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 21:01:21 UTC 2026
% 0.26/0.28 % CPUTime :
% 0.26/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 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
% 0.47/0.39 % (1573406)Will run a generic schedule for satisfiability detection.
% 0.47/0.39 % (1573411)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1496558665_2999 on theBenchmark for (2999ds/0Mi)
% 0.47/0.39 % (1573411)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.47/0.39 % (1573411)Terminated due to inappropriate strategy.
% 0.47/0.39 % (1573411)------------------------------
% 0.47/0.39 % (1573411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.39 % (1573411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.39 % (1573411)CaDiCaL version: 2.1.3
% 0.47/0.39 % (1573411)Termination reason: Inappropriate
% 0.47/0.39 % (1573411)Time elapsed: 0.001 s
% 0.47/0.39 % (1573411)Peak memory usage: 10 MB
% 0.47/0.39 % (1573411)Instructions burned: 1 (million)
% 0.47/0.39 % (1573411)------------------------------
% 0.47/0.39 % (1573411)------------------------------
% 0.47/0.39 % (1573412)% WARNING: option uhcvi not known.
% 0.47/0.39 % (1573412)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1455100329:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.47/0.39 % (1573415)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4004036673:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.47/0.39 % (1573414)dis+10_1_sil=32000:sp=arity:random_seed=4075393911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.47/0.39 % (1573416)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2383587803:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.47/0.39 % (1573417)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1783468928:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.47/0.39 % (1573413)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3086715706:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.47/0.39 % (1573419)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3747433007:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.47/0.39 % (1573419)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.47/0.39 % (1573419)Terminated due to inappropriate strategy.
% 0.47/0.39 % (1573419)------------------------------
% 0.47/0.39 % (1573419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.39 % (1573419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.39 % (1573419)CaDiCaL version: 2.1.3
% 0.47/0.39 % (1573419)Termination reason: Inappropriate
% 0.47/0.39 % (1573419)Time elapsed: 0.001 s
% 0.47/0.39 % (1573419)Peak memory usage: 11 MB
% 0.47/0.39 % (1573419)Instructions burned: 1 (million)
% 0.47/0.39 % (1573419)------------------------------
% 0.47/0.39 % (1573419)------------------------------
% 0.47/0.39 % (1573414) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1573406-1573414"...
% 0.47/0.39 % (1573414)...printing done.
% 0.47/0.39 % (1573414)Refutation found. Thanks to Tanya!
% 0.47/0.39 % SZS status Theorem for theBenchmark
% 0.47/0.39 % SZS output start Proof for theBenchmark
% 0.47/0.39 tff(func_def_0, type, exp: $real > $real).
% 0.47/0.39 tff(func_def_5, type, log: $real > $real).
% 0.47/0.39 tff(func_def_6, type, log2: $real > $real).
% 0.47/0.39 tff(func_def_9, type, log10: $real > $real).
% 0.47/0.39 tff(func_def_11, type, pow: ($real * $real) > $real).
% 0.47/0.39 tff(func_def_12, type, sqr: $real > $real).
% 0.47/0.39 tff(func_def_13, type, sqrt: $real > $real).
% 0.47/0.39 tff(f16,axiom,(
% 0.47/0.39 ! [X0 : $real] : sqr(X0) = $product(X0,X0)),
% 0.47/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqr_def)).
% 0.47/0.39 tff(f22,axiom,(
% 0.47/0.39 ! [X0 : $real] : ($less(0/1,X0) => pow(X0,2/1) = sqr(X0))),
% 0.47/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_x_two)).
% 0.47/0.39 tff(f24,conjecture,(
% 0.47/0.39 pow(2/1,2/1) = 4/1),
% 0.47/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_2_21)).
% 0.47/0.39 tff(f25,negated_conjecture,(
% 0.47/0.39 ~ pow(2/1,2/1) = 4/1),
% 0.47/0.39 inference(negated_conjecture,[status(cth)],[f24])).
% 0.47/0.39 tff(f31,definition,(
% 0.47/0.39 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.47/0.39 introduced(theory,[tha_commutativity])).
% 0.47/0.39 tff(f36,definition,(
% 0.47/0.39 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.47/0.39 introduced(theory,[tha_non-reflexivity])).
% 0.47/0.39 tff(f37,definition,(
% 0.47/0.39 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.47/0.39 introduced(theory,[tha_transitivity])).
% 0.47/0.39 tff(f40,definition,(
% 0.47/0.39 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.47/0.39 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.47/0.39 tff(f50,plain,(
% 0.47/0.39 pow(2/1,2/1) != 4/1),
% 0.47/0.39 inference(flattening,[],[f25])).
% 0.47/0.39 tff(f67,plain,(
% 0.47/0.39 ! [X0 : $real] : (pow(X0,2/1) = sqr(X0) | ~$less(0/1,X0))),
% 0.47/0.39 inference(ennf_transformation,[],[f22])).
% 0.47/0.39 tff(f84,plain,(
% 0.47/0.39 ( ! [X0 : $real] : (sqr(X0) = $product(X0,X0)) )),
% 0.47/0.39 inference(cnf_transformation,[],[f16])).
% 0.47/0.39 tff(f90,plain,(
% 0.47/0.39 ( ! [X0 : $real] : (sqr(X0) = pow(X0,2/1) | ~$less(0/1,X0)) )),
% 0.47/0.39 inference(cnf_transformation,[],[f67])).
% 0.47/0.39 tff(f92,plain,(
% 0.47/0.39 pow(2/1,2/1) != 4/1),
% 0.47/0.39 inference(cnf_transformation,[],[f50])).
% 0.47/0.39 tff(f94,plain,(
% 0.47/0.39 ( ! [X0 : $real] : (~$less(0/1,X0) | $product(X0,X0) = pow(X0,2/1)) )),
% 0.47/0.39 inference(definition_unfolding,[],[f90,f84])).
% 0.47/0.39 tff(f111,plain,(
% 0.47/0.39 ( ! [X0 : $real] : ($less(X0,$sum(X0,1/1))) )),
% 0.47/0.39 inference(resolution,[],[f40,f36])).
% 0.47/0.39 tff(f112,plain,(
% 0.47/0.39 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(1/1,X0)) | $less(X0,X1)) )),
% 0.47/0.39 inference(superposition,[],[f40,f31])).
% 0.47/0.39 tff(f151,plain,(
% 0.47/0.39 ( ! [X0 : $real,X1 : $real] : ($less(X0,$sum(X1,1/1)) | ~$less(X0,X1)) )),
% 0.47/0.39 inference(resolution,[],[f37,f111])).
% 0.47/0.39 tff(f283,plain,(
% 0.47/0.39 ( ! [X0 : $real] : (~$less($sum(X0,1/1),X0)) )),
% 0.47/0.39 inference(resolution,[],[f151,f36])).
% 0.47/0.39 tff(f318,plain,(
% 0.47/0.39 ( ! [X0 : $real] : ($less(X0,$sum($sum(1/1,X0),1/1))) )),
% 0.47/0.39 inference(resolution,[],[f283,f112])).
% 0.47/0.39 tff(f323,plain,(
% 0.47/0.39 ( ! [X0 : $real] : ($less(X0,$sum(1/1,$sum(1/1,X0)))) )),
% 0.47/0.39 inference(forward_demodulation,[],[f318,f31])).
% 0.47/0.39 tff(f424,plain,(
% 0.47/0.39 $product($sum(1/1,$sum(1/1,0/1)),$sum(1/1,$sum(1/1,0/1))) = pow($sum(1/1,$sum(1/1,0/1)),2/1)),
% 0.47/0.39 inference(resolution,[],[f323,f94])).
% 0.47/0.39 tff(f437,plain,(
% 0.47/0.39 pow(2/1,2/1) = 4/1),
% 0.47/0.39 inference(evaluation,[],[f424])).
% 0.47/0.39 tff(f439,plain,(
% 0.47/0.39 $false),
% 0.47/0.39 inference(forward_subsumption_resolution,[],[f437,f92])).
% 0.47/0.39 % SZS output end Proof for theBenchmark
% 0.47/0.39 % (1573414)------------------------------
% 0.47/0.39 % (1573414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.39 % (1573414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.39 % (1573414)CaDiCaL version: 2.1.3
% 0.47/0.39 % (1573414)Termination reason: Refutation
% 0.47/0.39 % (1573414)Time elapsed: 0.019 s
% 0.47/0.39 % (1573414)Peak memory usage: 12 MB
% 0.47/0.39 % (1573414)Instructions burned: 16 (million)
% 0.47/0.39 % (1573406)Success in time 0.058 s
% 0.47/0.39 % Vampire exiting
%------------------------------------------------------------------------------