%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI720_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 : n020.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 0.40s 0.27s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI720_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n020.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 21:02:19 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.40/0.27 % (551781)Will run a generic schedule for satisfiability detection.
% 0.40/0.27 % (551791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2760104627:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.27 % (551787)% WARNING: option uhcvi not known.
% 0.40/0.27 % (551788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4093400227:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.27 % (551786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=745440606_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.27 % (551789)dis+10_1_sil=32000:sp=arity:random_seed=1655619117:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.27 % (551790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2891725776:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.27 % (551786)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.40/0.27 % (551786)Terminated due to inappropriate strategy.
% 0.40/0.27 % (551786)------------------------------
% 0.40/0.27 % (551786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.27 % (551786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.27 % (551786)CaDiCaL version: 2.1.3
% 0.40/0.27 % (551786)Termination reason: Inappropriate
% 0.40/0.27 % (551786)Time elapsed: 0.0000 s
% 0.40/0.27 % (551792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3388210859:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.27 % (551786)Peak memory usage: 10 MB
% 0.40/0.27 % (551787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3474266549:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.27 % (551786)------------------------------
% 0.40/0.27 % (551786)------------------------------
% 0.40/0.27 % (551800)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1214832518:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.40/0.27 % (551800)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.40/0.27 % (551800)Terminated due to inappropriate strategy.
% 0.40/0.27 % (551800)------------------------------
% 0.40/0.27 % (551800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.27 % (551800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.27 % (551800)CaDiCaL version: 2.1.3
% 0.40/0.27 % (551800)Termination reason: Inappropriate
% 0.40/0.27 % (551800)Time elapsed: 0.0000 s
% 0.40/0.27 % (551800)Peak memory usage: 10 MB
% 0.40/0.27 % (551800)------------------------------
% 0.40/0.27 % (551800)------------------------------
% 0.40/0.27 % (551792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-551781-551792"...
% 0.40/0.27 % (551792)...printing done.
% 0.40/0.27 % (551792)Refutation found. Thanks to Tanya!
% 0.40/0.27 % SZS status Theorem for theBenchmark
% 0.40/0.27 % SZS output start Proof for theBenchmark
% 0.40/0.27 tff(func_def_7, type, sK0: $real).
% 0.40/0.27 tff(f1,conjecture,(
% 0.40/0.27 ! [X0 : $real] : $greater($floor($sum(X0,1/2)),$floor($sum(X0,-1/2)))),
% 0.40/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
% 0.40/0.27 tff(f2,negated_conjecture,(
% 0.40/0.27 ~ ! [X0 : $real] : $greater($floor($sum(X0,1/2)),$floor($sum(X0,-1/2)))),
% 0.40/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.40/0.27 tff(f3,plain,(
% 0.40/0.27 ~ ! [X0 : $real] : $less($floor($sum(X0,-1/2)),$floor($sum(X0,1/2)))),
% 0.40/0.27 inference(theory_normalization,[],[f2])).
% 0.40/0.27 tff(f4,definition,(
% 0.40/0.27 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.40/0.27 introduced(theory,[tha_commutativity])).
% 0.40/0.27 tff(f5,definition,(
% 0.40/0.27 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.40/0.27 introduced(theory,[tha_associativity])).
% 0.40/0.27 tff(f10,definition,(
% 0.40/0.27 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
% 0.40/0.27 introduced(theory,[tha_transitivity])).
% 0.40/0.27 tff(f11,definition,(
% 0.40/0.27 ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.40/0.27 introduced(theory,[tha_order_totality])).
% 0.40/0.27 tff(f15,definition,(
% 0.40/0.27 ( ! [X0 : $real] : (~$less(X0,$floor(X0))) )),
% 0.40/0.27 introduced(theory,[tha_floor_small])).
% 0.40/0.27 tff(f16,definition,(
% 0.40/0.27 ( ! [X0 : $real] : ($less($sum(X0,$uminus(1/1)),$floor(X0))) )),
% 0.40/0.27 introduced(theory,[tha_floor_big])).
% 0.40/0.27 tff(f17,plain,(
% 0.40/0.27 ? [X0 : $real] : ~$less($floor($sum(X0,-1/2)),$floor($sum(X0,1/2)))),
% 0.40/0.27 inference(ennf_transformation,[],[f3])).
% 0.40/0.27 tff(f18,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$floor($sum(sK0,1/2)))),
% 0.40/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17])).
% 0.40/0.27 tff(f19,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$floor($sum(sK0,1/2)))),
% 0.40/0.27 inference(cnf_transformation,[],[f18])).
% 0.40/0.27 tff(f42,plain,(
% 0.40/0.27 ( ! [X0 : $real] : ($less($sum($uminus(1/1),X0),$floor(X0))) )),
% 0.40/0.27 inference(superposition,[],[f16,f4])).
% 0.40/0.27 tff(f44,plain,(
% 0.40/0.27 ( ! [X0 : $real] : ($less($sum(-1/1,X0),$floor(X0))) )),
% 0.40/0.27 inference(evaluation,[],[f42])).
% 0.40/0.27 tff(f49,plain,(
% 0.40/0.27 ( ! [X0 : $real] : ($less($sum(X0,-1/1),$floor(X0))) )),
% 0.40/0.27 inference(superposition,[],[f44,f4])).
% 0.40/0.27 tff(f67,plain,(
% 0.40/0.27 ( ! [X0 : $real] : (~$less(X0,$floor($sum(sK0,1/2))) | ~$less($floor($sum(sK0,-1/2)),X0)) )),
% 0.40/0.27 inference(resolution,[],[f10,f19])).
% 0.40/0.27 tff(f73,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$sum($sum(sK0,1/2),$uminus(1/1)))),
% 0.40/0.27 inference(resolution,[],[f67,f16])).
% 0.40/0.27 tff(f81,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$sum($sum(sK0,1/2),-1/1))),
% 0.40/0.27 inference(evaluation,[],[f73])).
% 0.40/0.27 tff(f343,definition,(
% 0.40/0.27 spl1_27 <=> $less($sum(sK0,-1/2),$floor($sum(sK0,1/2)))),
% 0.40/0.27 introduced(definition,[new_symbols(definition,[spl1_27])],[avatar_definition])).
% 0.40/0.27 tff(f621,definition,(
% 0.40/0.27 spl1_33 <=> $sum(sK0,-1/2) = $sum($sum(sK0,1/2),-1/1)),
% 0.40/0.27 introduced(definition,[new_symbols(definition,[spl1_33])],[avatar_definition])).
% 0.40/0.27 tff(f622,plain,(
% 0.40/0.27 $sum(sK0,-1/2) != $sum($sum(sK0,1/2),-1/1) | spl1_33),
% 0.40/0.27 inference(avatar_component_clause,[],[f621])).
% 0.40/0.27 tff(f623,plain,(
% 0.40/0.27 $sum(sK0,-1/2) = $sum($sum(sK0,1/2),-1/1) | ~spl1_33),
% 0.40/0.27 inference(avatar_component_clause,[],[f621])).
% 0.40/0.27 tff(f660,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$sum(sK0,$sum(1/2,-1/1)))),
% 0.40/0.27 inference(superposition,[],[f81,f5])).
% 0.40/0.27 tff(f676,plain,(
% 0.40/0.27 ~$less($floor($sum(sK0,-1/2)),$sum(sK0,-1/2))),
% 0.40/0.27 inference(evaluation,[],[f660])).
% 0.40/0.27 tff(f683,plain,(
% 0.40/0.27 $less($sum(sK0,-1/2),$floor($sum(sK0,-1/2))) | $sum(sK0,-1/2) = $floor($sum(sK0,-1/2))),
% 0.40/0.27 inference(resolution,[],[f676,f11])).
% 0.40/0.27 tff(f688,definition,(
% 0.40/0.27 spl1_36 <=> $sum(sK0,-1/2) = $floor($sum(sK0,-1/2))),
% 0.40/0.27 introduced(definition,[new_symbols(definition,[spl1_36])],[avatar_definition])).
% 0.40/0.27 tff(f690,plain,(
% 0.40/0.27 $sum(sK0,-1/2) = $floor($sum(sK0,-1/2)) | ~spl1_36),
% 0.40/0.27 inference(avatar_component_clause,[],[f688])).
% 0.40/0.27 tff(f692,definition,(
% 0.40/0.27 spl1_37 <=> $less($sum(sK0,-1/2),$floor($sum(sK0,-1/2)))),
% 0.40/0.27 introduced(definition,[new_symbols(definition,[spl1_37])],[avatar_definition])).
% 0.40/0.27 tff(f694,plain,(
% 0.40/0.27 $less($sum(sK0,-1/2),$floor($sum(sK0,-1/2))) | ~spl1_37),
% 0.40/0.27 inference(avatar_component_clause,[],[f692])).
% 0.40/0.27 tff(f695,plain,(
% 0.40/0.27 spl1_36 | spl1_37),
% 0.40/0.27 inference(avatar_split_clause,[],[f683,f692,f688])).
% 0.40/0.27 tff(f722,plain,(
% 0.40/0.27 ~$less($sum(sK0,-1/2),$floor($sum(sK0,1/2))) | ~spl1_36),
% 0.40/0.27 inference(superposition,[],[f19,f690])).
% 0.40/0.27 tff(f824,plain,(
% 0.40/0.27 $less($sum(sK0,-1/2),$floor($sum(sK0,1/2))) | ~spl1_33),
% 0.40/0.27 inference(superposition,[],[f49,f623])).
% 0.40/0.27 tff(f832,plain,(
% 0.40/0.27 spl1_27 | ~spl1_33),
% 0.40/0.27 inference(avatar_split_clause,[],[f824,f621,f343])).
% 0.40/0.27 tff(f833,plain,(
% 0.40/0.27 ~spl1_27 | ~spl1_36),
% 0.40/0.27 inference(avatar_split_clause,[],[f722,f688,f343])).
% 0.40/0.27 tff(f853,plain,(
% 0.40/0.27 $sum(sK0,-1/2) != $sum(sK0,$sum(1/2,-1/1)) | spl1_33),
% 0.40/0.27 inference(superposition,[],[f622,f5])).
% 0.40/0.27 tff(f856,plain,(
% 0.40/0.27 $false | spl1_33),
% 0.40/0.27 inference(evaluation,[],[f853])).
% 0.40/0.27 tff(f857,plain,(
% 0.40/0.27 spl1_33),
% 0.40/0.27 inference(avatar_contradiction_clause,[],[f856])).
% 0.40/0.27 tff(f935,plain,(
% 0.40/0.27 $false | ~spl1_37),
% 0.40/0.27 inference(resolution,[],[f694,f15])).
% 0.40/0.27 tff(f938,plain,(
% 0.40/0.27 ~spl1_37),
% 0.40/0.27 inference(avatar_contradiction_clause,[],[f935])).
% 0.40/0.27 cnf(s31, plain, spl1_36 | spl1_37, inference(sat_conversion,[],[f695])).
% 0.40/0.27 cnf(s35, plain, spl1_27 | ~spl1_33, inference(sat_conversion,[],[f832])).
% 0.40/0.27 cnf(s36, plain, ~spl1_27 | ~spl1_36, inference(sat_conversion,[],[f833])).
% 0.40/0.27 cnf(s38, plain, spl1_33, inference(sat_conversion,[],[f857])).
% 0.40/0.27 cnf(s49, plain, ~spl1_37, inference(sat_conversion,[],[f938])).
% 0.40/0.27 cnf(s50, plain, spl1_27, inference(rat,[],[s35,s38])).
% 0.40/0.27 cnf(s55, plain, ~spl1_36, inference(rat,[],[s36,s50])).
% 0.40/0.27 cnf(s59, plain, $false, inference(rat,[],[s31,s49,s55])).
% 0.40/0.27 tff(f939,plain,(
% 0.40/0.27 $false),
% 0.40/0.27 inference(avatar_sat_refutation,[],[s59])).
% 0.40/0.27 % SZS output end Proof for theBenchmark
% 0.40/0.27 % (551792)------------------------------
% 0.40/0.27 % (551792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.27 % (551792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.27 % (551792)CaDiCaL version: 2.1.3
% 0.40/0.27 % (551792)Termination reason: Refutation
% 0.40/0.27 % (551792)Time elapsed: 0.026 s
% 0.40/0.27 % (551792)Peak memory usage: 13 MB
% 0.40/0.27 % (551792)Instructions burned: 42 (million)
% 0.40/0.27 % (551781)Success in time 0.058 s
% 0.40/0.27 % Vampire exiting
%------------------------------------------------------------------------------