%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI163_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:34:06 AM UTC 2026
% Result : Theorem 0.28s 0.37s
% Output : Refutation 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI163_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.26 % Computer : n017.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 20:39:06 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.32 Running first-order model finding
% 0.28/0.32 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
% 0.28/0.37 % (3990271)Will run a generic schedule for satisfiability detection.
% 0.28/0.37 % (3990278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2842957855:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.28/0.37 % (3990277)% WARNING: option uhcvi not known.
% 0.28/0.37 % (3990276)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1097688025_3000 on theBenchmark for (3000ds/0Mi)
% 0.28/0.37 % (3990280)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1232335363:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.28/0.37 % (3990277)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2380573628:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.28/0.37 % (3990279)dis+10_1_sil=32000:sp=arity:random_seed=2101452970:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.28/0.37 % (3990281)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1001040292:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.28/0.37 % (3990276)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.28/0.37 % (3990276)Terminated due to inappropriate strategy.
% 0.28/0.37 % (3990276)------------------------------
% 0.28/0.37 % (3990276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.37 % (3990276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.37 % (3990276)CaDiCaL version: 2.1.3
% 0.28/0.37 % (3990276)Termination reason: Inappropriate
% 0.28/0.37 % (3990276)Time elapsed: 0.001 s
% 0.28/0.37 % (3990276)Peak memory usage: 10 MB
% 0.28/0.37 % (3990282)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3610519552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.28/0.37 % (3990276)------------------------------
% 0.28/0.37 % (3990276)------------------------------
% 0.28/0.37 % (3990281) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3990271-3990281"...
% 0.28/0.37 % (3990281)...printing done.
% 0.28/0.37 % (3990281)Refutation found. Thanks to Tanya!
% 0.28/0.37 % SZS status Theorem for theBenchmark
% 0.28/0.37 % SZS output start Proof for theBenchmark
% 0.28/0.37 tff(func_def_6, type, sK0: $int).
% 0.28/0.37 tff(f1,conjecture,(
% 0.28/0.37 ! [X0 : $int] : (($less(-1,X0) & $less(X0,1)) => $sum(21,X0) = 21)),
% 0.28/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_0_samething)).
% 0.28/0.37 tff(f2,negated_conjecture,(
% 0.28/0.37 ~ ! [X0 : $int] : (($less(-1,X0) & $less(X0,1)) => $sum(21,X0) = 21)),
% 0.28/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.28/0.37 tff(f10,definition,(
% 0.28/0.37 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.28/0.37 introduced(theory,[tha_order_totality])).
% 0.28/0.37 tff(f14,definition,(
% 0.28/0.37 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 0.28/0.37 introduced(theory,[tha_extra_integer_ordering])).
% 0.28/0.37 tff(f15,plain,(
% 0.28/0.37 ? [X0 : $int] : (21 != $sum(21,X0) & ($less(-1,X0) & $less(X0,1)))),
% 0.28/0.37 inference(ennf_transformation,[],[f2])).
% 0.28/0.37 tff(f16,plain,(
% 0.28/0.37 ? [X0 : $int] : (21 != $sum(21,X0) & $less(-1,X0) & $less(X0,1))),
% 0.28/0.37 inference(flattening,[],[f15])).
% 0.28/0.37 tff(f17,plain,(
% 0.28/0.37 21 != $sum(21,sK0) & $less(-1,sK0) & $less(sK0,1)),
% 0.28/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16])).
% 0.28/0.37 tff(f18,plain,(
% 0.28/0.37 $less(sK0,1)),
% 0.28/0.37 inference(cnf_transformation,[],[f17])).
% 0.28/0.37 tff(f19,plain,(
% 0.28/0.37 $less(-1,sK0)),
% 0.28/0.37 inference(cnf_transformation,[],[f17])).
% 0.28/0.37 tff(f20,plain,(
% 0.28/0.37 21 != $sum(21,sK0)),
% 0.28/0.37 inference(cnf_transformation,[],[f17])).
% 0.28/0.37 tff(f31,plain,(
% 0.28/0.37 ~$less(sK0,$sum(-1,1))),
% 0.28/0.37 inference(resolution,[],[f14,f19])).
% 0.28/0.37 tff(f34,plain,(
% 0.28/0.37 ~$less(sK0,0)),
% 0.28/0.37 inference(evaluation,[],[f31])).
% 0.28/0.37 tff(f44,plain,(
% 0.28/0.37 $less(0,sK0) | 0 = sK0),
% 0.28/0.37 inference(resolution,[],[f10,f34])).
% 0.28/0.37 tff(f50,definition,(
% 0.28/0.37 spl1_1 <=> 0 = sK0),
% 0.28/0.37 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.28/0.37 tff(f52,plain,(
% 0.28/0.37 0 = sK0 | ~spl1_1),
% 0.28/0.37 inference(avatar_component_clause,[],[f50])).
% 0.28/0.37 tff(f54,definition,(
% 0.28/0.37 spl1_2 <=> $less(0,sK0)),
% 0.28/0.37 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.28/0.37 tff(f56,plain,(
% 0.28/0.37 $less(0,sK0) | ~spl1_2),
% 0.28/0.37 inference(avatar_component_clause,[],[f54])).
% 0.28/0.37 tff(f58,plain,(
% 0.28/0.37 spl1_1 | spl1_2),
% 0.28/0.37 inference(avatar_split_clause,[],[f44,f54,f50])).
% 0.28/0.37 tff(f60,plain,(
% 0.28/0.37 ~$less(sK0,$sum(0,1)) | ~spl1_2),
% 0.28/0.37 inference(resolution,[],[f56,f14])).
% 0.28/0.37 tff(f61,plain,(
% 0.28/0.37 ~$less(sK0,1) | ~spl1_2),
% 0.28/0.37 inference(evaluation,[],[f60])).
% 0.28/0.37 tff(f62,plain,(
% 0.28/0.37 $false | ~spl1_2),
% 0.28/0.37 inference(forward_subsumption_resolution,[],[f61,f18])).
% 0.28/0.37 tff(f63,plain,(
% 0.28/0.37 ~spl1_2),
% 0.28/0.37 inference(avatar_contradiction_clause,[],[f62])).
% 0.28/0.37 tff(f76,plain,(
% 0.28/0.37 21 != $sum(21,0) | ~spl1_1),
% 0.28/0.37 inference(superposition,[],[f20,f52])).
% 0.28/0.37 tff(f79,plain,(
% 0.28/0.37 $false | ~spl1_1),
% 0.28/0.37 inference(evaluation,[],[f76])).
% 0.28/0.37 tff(f80,plain,(
% 0.28/0.37 ~spl1_1),
% 0.28/0.37 inference(avatar_contradiction_clause,[],[f79])).
% 0.28/0.37 cnf(s2, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f58])).
% 0.28/0.37 cnf(s3, plain, ~spl1_2, inference(sat_conversion,[],[f63])).
% 0.28/0.37 cnf(s4, plain, ~spl1_1, inference(sat_conversion,[],[f80])).
% 0.28/0.37 cnf(s5, plain, $false, inference(rat,[],[s2,s3,s4])).
% 0.28/0.37 tff(f81,plain,(
% 0.28/0.37 $false),
% 0.28/0.37 inference(avatar_sat_refutation,[],[s5])).
% 0.28/0.37 % SZS output end Proof for theBenchmark
% 0.28/0.37 % (3990281)------------------------------
% 0.28/0.37 % (3990281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.37 % (3990281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.37 % (3990281)CaDiCaL version: 2.1.3
% 0.28/0.37 % (3990281)Termination reason: Refutation
% 0.28/0.37 % (3990281)Time elapsed: 0.005 s
% 0.28/0.37 % (3990281)Peak memory usage: 12 MB
% 0.28/0.37 % (3990281)Instructions burned: 3 (million)
% 0.28/0.37 % (3990271)Success in time 0.042 s
% 0.28/0.37 % Vampire exiting
%------------------------------------------------------------------------------