%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI647_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:35:01 AM UTC 2026
% Result : Theorem 0.38s 0.39s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI647_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 % Computer : n008.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 20:55:39 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 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
% 0.38/0.39 % (2637781)Will run a generic schedule for satisfiability detection.
% 0.38/0.39 % (2637786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1790944885_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.39 % (2637786)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.38/0.39 % (2637786)Terminated due to inappropriate strategy.
% 0.38/0.39 % (2637786)------------------------------
% 0.38/0.39 % (2637786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.39 % (2637786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.39 % (2637786)CaDiCaL version: 2.1.3
% 0.38/0.39 % (2637786)Termination reason: Inappropriate
% 0.38/0.39 % (2637786)Time elapsed: 0.0000 s
% 0.38/0.39 % (2637786)Peak memory usage: 10 MB
% 0.38/0.39 % (2637786)------------------------------
% 0.38/0.39 % (2637786)------------------------------
% 0.38/0.39 % (2637787)% WARNING: option uhcvi not known.
% 0.38/0.39 % (2637787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=889631780:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.39 % (2637790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=375676415:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.39 % (2637789)dis+10_1_sil=32000:sp=arity:random_seed=1802748959:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.39 % (2637788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2892069304:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.39 % (2637792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3855733960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.39 % (2637791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2576820849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.39 % (2637787) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2637781-2637787"...
% 0.38/0.39 % (2637794)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1438529767:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.38/0.39 % (2637789) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2637781-2637789"...
% 0.38/0.39 % (2637794)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.38/0.39 % (2637794)Terminated due to inappropriate strategy.
% 0.38/0.39 % (2637794)------------------------------
% 0.38/0.39 % (2637794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.39 % (2637794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.39 % (2637794)CaDiCaL version: 2.1.3
% 0.38/0.39 % (2637794)Termination reason: Inappropriate
% 0.38/0.39 % (2637794)Time elapsed: 0.0000 s
% 0.38/0.39 % (2637794)Peak memory usage: 10 MB
% 0.38/0.39 % (2637787)...printing done.
% 0.38/0.39 % (2637794)------------------------------
% 0.38/0.39 % (2637794)------------------------------
% 0.38/0.39 % (2637790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2637781-2637790"...
% 0.38/0.39 % (2637789)...printing done.
% 0.38/0.39 % (2637787)Refutation found. Thanks to Tanya!
% 0.38/0.39 % SZS status Theorem for theBenchmark
% 0.38/0.39 % SZS output start Proof for theBenchmark
% 0.38/0.39 tff(func_def_0, type, a: $int).
% 0.38/0.39 tff(f1,conjecture,(
% 0.38/0.39 ~$lesseq(-1,$product(-1,$product(2,a))) | $product(3,a) != 3),
% 0.38/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.38/0.39 tff(f2,negated_conjecture,(
% 0.38/0.39 ~(~$lesseq(-1,$product(-1,$product(2,a))) | $product(3,a) != 3)),
% 0.38/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.38/0.39 tff(f3,plain,(
% 0.38/0.39 ~($less($product(-1,$product(2,a)),-1) | $product(3,a) != 3)),
% 0.38/0.39 inference(theory_normalization,[],[f2])).
% 0.38/0.39 tff(f17,definition,(
% 0.38/0.39 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.38/0.39 introduced(theory,[tha_right_identity])).
% 0.38/0.39 tff(f20,definition,(
% 0.38/0.39 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 0.38/0.39 introduced(theory,[tha_divisibility])).
% 0.38/0.39 tff(f22,plain,(
% 0.38/0.39 ~$less($product(-1,$product(2,a)),-1) & 3 = $product(3,a)),
% 0.38/0.39 inference(ennf_transformation,[],[f3])).
% 0.38/0.39 tff(f23,plain,(
% 0.38/0.39 3 = $product(3,a)),
% 0.38/0.39 inference(cnf_transformation,[],[f22])).
% 0.38/0.39 tff(f24,plain,(
% 0.38/0.39 ~$less($product(-1,$product(2,a)),-1)),
% 0.38/0.39 inference(cnf_transformation,[],[f22])).
% 0.38/0.39 tff(f25,plain,(
% 0.38/0.39 ( ! [X2 : $int,X3 : $int,X0 : $int] : ($product(X0,X2) != $product(X0,X3) | 0 = X0 | X2 = X3) )),
% 0.38/0.39 inference(equality_resolution,[],[f20])).
% 0.38/0.39 tff(f26,plain,(
% 0.38/0.39 ~$less($uminus($product(2,a)),-1)),
% 0.38/0.39 inference(evaluation,[],[f24])).
% 0.38/0.39 tff(f163,plain,(
% 0.38/0.39 ( ! [X0 : $int] : (3 != $product(3,X0) | 3 = 0 | a = X0) )),
% 0.38/0.39 inference(superposition,[],[f25,f23])).
% 0.38/0.39 tff(f170,plain,(
% 0.38/0.39 ( ! [X0 : $int] : (3 != $product(3,X0) | a = X0) )),
% 0.38/0.39 inference(evaluation,[],[f163])).
% 0.38/0.39 tff(f172,plain,(
% 0.38/0.39 3 != 3 | a = 1),
% 0.38/0.39 inference(superposition,[],[f170,f17])).
% 0.38/0.39 tff(f176,plain,(
% 0.38/0.39 a = 1),
% 0.38/0.39 inference(trivial_inequality_removal,[],[f172])).
% 0.38/0.39 tff(f264,plain,(
% 0.38/0.39 ~$less($uminus($product(2,1)),-1)),
% 0.38/0.39 inference(superposition,[],[f26,f176])).
% 0.38/0.39 tff(f266,plain,(
% 0.38/0.39 $false),
% 0.38/0.39 inference(evaluation,[],[f264])).
% 0.38/0.39 % SZS output end Proof for theBenchmark
% 0.38/0.39 % (2637787)------------------------------
% 0.38/0.39 % (2637787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.39 % (2637787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.39 % (2637787)CaDiCaL version: 2.1.3
% 0.38/0.39 % (2637787)Termination reason: Refutation
% 0.38/0.39 % (2637787)Time elapsed: 0.013 s
% 0.38/0.39 % (2637787)Peak memory usage: 12 MB
% 0.38/0.39 % (2637787)Instructions burned: 11 (million)
% 0.38/0.39 % (2637781)Success in time 0.05 s
% 0.38/0.39 % Vampire exiting
%------------------------------------------------------------------------------