%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI721_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:35:08 AM UTC 2026
% Result : Theorem 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI721_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n004.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:01:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.18/0.28 % (770161)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (770171)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1203950746:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (770167)% WARNING: option uhcvi not known.
% 0.18/0.28 % (770166)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=998213517_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (770167)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1999035443:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (770168)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4080667657:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (770169)dis+10_1_sil=32000:sp=arity:random_seed=1508442046:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (770170)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4242614266:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (770166)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.28 % (770166)Terminated due to inappropriate strategy.
% 0.18/0.28 % (770166)------------------------------
% 0.18/0.28 % (770166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (770166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (770166)CaDiCaL version: 2.1.3
% 0.18/0.28 % (770166)Termination reason: Inappropriate
% 0.18/0.28 % (770166)Time elapsed: 0.0000 s
% 0.18/0.28 % (770166)Peak memory usage: 10 MB
% 0.18/0.28 % (770172)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3801984987:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (770166)------------------------------
% 0.18/0.28 % (770166)------------------------------
% 0.18/0.28 % (770172) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-770161-770172"...
% 0.18/0.28 % (770180)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4133396709:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.28 % (770180)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.28 % (770180)Terminated due to inappropriate strategy.
% 0.18/0.28 % (770180)------------------------------
% 0.18/0.28 % (770180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (770180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (770180)CaDiCaL version: 2.1.3
% 0.18/0.28 % (770180)Termination reason: Inappropriate
% 0.18/0.28 % (770180)Time elapsed: 0.0000 s
% 0.18/0.28 % (770180)Peak memory usage: 10 MB
% 0.18/0.28 % (770172)...printing done.
% 0.18/0.28 % (770180)------------------------------
% 0.18/0.28 % (770180)------------------------------
% 0.18/0.28 % (770172)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Theorem for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% 0.18/0.28 tff(func_def_6, type, sK0: $real).
% 0.18/0.28 tff(f1,conjecture,(
% 0.18/0.28 ! [X0 : $real] : $greater($floor($sum(X0,3/2)),X0)),
% 0.18/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
% 0.18/0.28 tff(f2,negated_conjecture,(
% 0.18/0.28 ~ ! [X0 : $real] : $greater($floor($sum(X0,3/2)),X0)),
% 0.18/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.28 tff(f3,plain,(
% 0.18/0.28 ~ ! [X0 : $real] : $less(X0,$floor($sum(X0,3/2)))),
% 0.18/0.28 inference(theory_normalization,[],[f2])).
% 0.18/0.28 tff(f4,definition,(
% 0.18/0.28 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.18/0.28 introduced(theory,[tha_commutativity])).
% 0.18/0.28 tff(f5,definition,(
% 0.18/0.28 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.18/0.28 introduced(theory,[tha_associativity])).
% 0.18/0.28 tff(f9,definition,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.18/0.28 introduced(theory,[tha_non-reflexivity])).
% 0.18/0.28 tff(f10,definition,(
% 0.18/0.28 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
% 0.18/0.28 introduced(theory,[tha_transitivity])).
% 0.18/0.28 tff(f11,definition,(
% 0.18/0.28 ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.18/0.28 introduced(theory,[tha_order_totality])).
% 0.18/0.28 tff(f12,definition,(
% 0.18/0.28 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.18/0.28 introduced(theory,[tha_order_monotonicity])).
% 0.18/0.28 tff(f13,definition,(
% 0.18/0.28 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.18/0.28 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.18/0.28 tff(f16,definition,(
% 0.18/0.28 ( ! [X0 : $real] : ($less($sum(X0,$uminus(1/1)),$floor(X0))) )),
% 0.18/0.28 introduced(theory,[tha_floor_big])).
% 0.18/0.28 tff(f17,plain,(
% 0.18/0.28 ? [X0 : $real] : ~$less(X0,$floor($sum(X0,3/2)))),
% 0.18/0.28 inference(ennf_transformation,[],[f3])).
% 0.18/0.28 tff(f18,plain,(
% 0.18/0.28 ~$less(sK0,$floor($sum(sK0,3/2)))),
% 0.18/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17])).
% 0.18/0.28 tff(f19,plain,(
% 0.18/0.28 ~$less(sK0,$floor($sum(sK0,3/2)))),
% 0.18/0.28 inference(cnf_transformation,[],[f18])).
% 0.18/0.28 tff(f36,plain,(
% 0.18/0.28 ( ! [X0 : $real] : ($less($sum($uminus(1/1),X0),$floor(X0))) )),
% 0.18/0.28 inference(superposition,[],[f16,f4])).
% 0.18/0.28 tff(f38,plain,(
% 0.18/0.28 ( ! [X0 : $real] : ($less($sum(-1/1,X0),$floor(X0))) )),
% 0.18/0.28 inference(evaluation,[],[f36])).
% 0.18/0.28 tff(f43,plain,(
% 0.18/0.28 ( ! [X0 : $real] : ($less($sum(X0,-1/1),$floor(X0))) )),
% 0.18/0.28 inference(superposition,[],[f38,f4])).
% 0.18/0.28 tff(f47,plain,(
% 0.18/0.28 ( ! [X0 : $real] : ($less(X0,$sum(X0,1/1))) )),
% 0.18/0.28 inference(resolution,[],[f13,f9])).
% 0.18/0.28 tff(f69,plain,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(X0,$floor($sum(sK0,3/2))) | ~$less(sK0,X0)) )),
% 0.18/0.28 inference(resolution,[],[f10,f19])).
% 0.18/0.28 tff(f75,plain,(
% 0.18/0.28 ~$less(sK0,$sum($sum(sK0,3/2),-1/1))),
% 0.18/0.28 inference(resolution,[],[f69,f43])).
% 0.18/0.28 tff(f86,plain,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(X0,$sum($sum(sK0,3/2),-1/1)) | ~$less(sK0,X0)) )),
% 0.18/0.28 inference(resolution,[],[f75,f10])).
% 0.18/0.28 tff(f182,plain,(
% 0.18/0.28 $less($sum($sum(sK0,3/2),-1/1),sK0) | sK0 = $sum($sum(sK0,3/2),-1/1)),
% 0.18/0.28 inference(resolution,[],[f11,f75])).
% 0.18/0.28 tff(f205,definition,(
% 0.18/0.28 spl1_7 <=> sK0 = $sum($sum(sK0,3/2),-1/1)),
% 0.18/0.28 introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 0.18/0.28 tff(f207,plain,(
% 0.18/0.28 sK0 = $sum($sum(sK0,3/2),-1/1) | ~spl1_7),
% 0.18/0.28 inference(avatar_component_clause,[],[f205])).
% 0.18/0.28 tff(f209,definition,(
% 0.18/0.28 spl1_8 <=> $less($sum($sum(sK0,3/2),-1/1),sK0)),
% 0.18/0.28 introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition])).
% 0.18/0.28 tff(f211,plain,(
% 0.18/0.28 $less($sum($sum(sK0,3/2),-1/1),sK0) | ~spl1_8),
% 0.18/0.28 inference(avatar_component_clause,[],[f209])).
% 0.18/0.28 tff(f212,plain,(
% 0.18/0.28 spl1_7 | spl1_8),
% 0.18/0.28 inference(avatar_split_clause,[],[f182,f209,f205])).
% 0.18/0.28 tff(f223,definition,(
% 0.18/0.28 spl1_11 <=> sK0 = $sum(-1/1,$sum(sK0,3/2))),
% 0.18/0.28 introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition])).
% 0.18/0.28 tff(f225,plain,(
% 0.18/0.28 sK0 = $sum(-1/1,$sum(sK0,3/2)) | ~spl1_11),
% 0.18/0.28 inference(avatar_component_clause,[],[f223])).
% 0.18/0.28 tff(f434,plain,(
% 0.18/0.28 $less(sK0,$floor($sum(sK0,3/2))) | ~spl1_11),
% 0.18/0.28 inference(superposition,[],[f38,f225])).
% 0.18/0.28 tff(f437,plain,(
% 0.18/0.28 $false | ~spl1_11),
% 0.18/0.28 inference(resolution,[],[f434,f19])).
% 0.18/0.28 tff(f441,plain,(
% 0.18/0.28 ~spl1_11),
% 0.18/0.28 inference(avatar_contradiction_clause,[],[f437])).
% 0.18/0.28 tff(f475,plain,(
% 0.18/0.28 sK0 = $sum(-1/1,$sum(sK0,3/2)) | ~spl1_7),
% 0.18/0.28 inference(superposition,[],[f4,f207])).
% 0.18/0.28 tff(f477,plain,(
% 0.18/0.28 spl1_11 | ~spl1_7),
% 0.18/0.28 inference(avatar_split_clause,[],[f475,f205,f223])).
% 0.18/0.28 tff(f568,plain,(
% 0.18/0.28 $less($sum(sK0,$sum(3/2,-1/1)),sK0) | ~spl1_8),
% 0.18/0.28 inference(superposition,[],[f211,f5])).
% 0.18/0.28 tff(f570,plain,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(X0,$sum(sK0,$sum(3/2,-1/1))) | ~$less(sK0,X0)) )),
% 0.18/0.28 inference(superposition,[],[f86,f5])).
% 0.18/0.28 tff(f596,plain,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(X0,$sum(sK0,1/2)) | ~$less(sK0,X0)) )),
% 0.18/0.28 inference(evaluation,[],[f570])).
% 0.18/0.28 tff(f598,plain,(
% 0.18/0.28 $less($sum(sK0,1/2),sK0) | ~spl1_8),
% 0.18/0.28 inference(evaluation,[],[f568])).
% 0.18/0.28 tff(f638,plain,(
% 0.18/0.28 ( ! [X0 : $real] : (~$less(sK0,$sum(X0,1/2)) | ~$less(X0,sK0)) )),
% 0.18/0.28 inference(resolution,[],[f596,f12])).
% 0.18/0.28 tff(f666,plain,(
% 0.18/0.28 ~$less(sK0,$sum($sum(sK0,1/2),1/2)) | ~spl1_8),
% 0.18/0.28 inference(resolution,[],[f638,f598])).
% 0.18/0.28 tff(f775,plain,(
% 0.18/0.28 ~$less(sK0,$sum(sK0,$sum(1/2,1/2))) | ~spl1_8),
% 0.18/0.28 inference(superposition,[],[f666,f5])).
% 0.18/0.28 tff(f778,plain,(
% 0.18/0.28 ~$less(sK0,$sum(sK0,1/1)) | ~spl1_8),
% 0.18/0.28 inference(evaluation,[],[f775])).
% 0.18/0.28 tff(f789,plain,(
% 0.18/0.28 $false | ~spl1_8),
% 0.18/0.28 inference(resolution,[],[f778,f47])).
% 0.18/0.28 tff(f794,plain,(
% 0.18/0.28 ~spl1_8),
% 0.18/0.28 inference(avatar_contradiction_clause,[],[f789])).
% 0.18/0.28 cnf(s4, plain, spl1_7 | spl1_8, inference(sat_conversion,[],[f212])).
% 0.18/0.28 cnf(s30, plain, ~spl1_11, inference(sat_conversion,[],[f441])).
% 0.18/0.28 cnf(s33, plain, ~spl1_7 | spl1_11, inference(sat_conversion,[],[f477])).
% 0.18/0.28 cnf(s51, plain, ~spl1_8, inference(sat_conversion,[],[f794])).
% 0.18/0.28 cnf(s53, plain, ~spl1_7, inference(rat,[],[s33,s30])).
% 0.18/0.28 cnf(s68, plain, $false, inference(rat,[],[s4,s51,s53])).
% 0.18/0.28 tff(f804,plain,(
% 0.18/0.28 $false),
% 0.18/0.28 inference(avatar_sat_refutation,[],[s68])).
% 0.18/0.28 % SZS output end Proof for theBenchmark
% 0.18/0.28 % (770172)------------------------------
% 0.18/0.28 % (770172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (770172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (770172)CaDiCaL version: 2.1.3
% 0.18/0.28 % (770172)Termination reason: Refutation
% 0.18/0.28 % (770172)Time elapsed: 0.023 s
% 0.18/0.28 % (770172)Peak memory usage: 13 MB
% 0.18/0.28 % (770172)Instructions burned: 31 (million)
% 0.18/0.28 % (770161)Success in time 0.061 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------