%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI175_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:34:08 AM UTC 2026
% Result : Theorem 0.74s 0.39s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI175_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n013.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 20:43:06 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.28 Running first-order model finding
% 0.25/0.28 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
% 0.74/0.39 % (1540567)Will run a generic schedule for satisfiability detection.
% 0.74/0.39 % (1540578)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1985105262:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.74/0.39 % (1540575)dis+10_1_sil=32000:sp=arity:random_seed=3644320734:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.74/0.39 % (1540573)% WARNING: option uhcvi not known.
% 0.74/0.39 % (1540574)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=913312598:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.74/0.39 % (1540572)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3258339884_3000 on theBenchmark for (3000ds/0Mi)
% 0.74/0.39 % (1540573)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3457299748:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.74/0.39 % (1540572)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.39 % (1540572)Terminated due to inappropriate strategy.
% 0.74/0.39 % (1540572)------------------------------
% 0.74/0.39 % (1540572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.39 % (1540572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.39 % (1540572)CaDiCaL version: 2.1.3
% 0.74/0.39 % (1540572)Termination reason: Inappropriate
% 0.74/0.39 % (1540572)Time elapsed: 0.001 s
% 0.74/0.39 % (1540572)Peak memory usage: 10 MB
% 0.74/0.39 % (1540576)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=458890153:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.74/0.39 % (1540572)------------------------------
% 0.74/0.39 % (1540572)------------------------------
% 0.74/0.39 % (1540577)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2922935114:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.74/0.39 % (1540585)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3044855038:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.74/0.39 % (1540585)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.39 % (1540585)Terminated due to inappropriate strategy.
% 0.74/0.39 % (1540585)------------------------------
% 0.74/0.39 % (1540585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.39 % (1540585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.39 % (1540585)CaDiCaL version: 2.1.3
% 0.74/0.39 % (1540585)Termination reason: Inappropriate
% 0.74/0.39 % (1540585)Time elapsed: 0.001 s
% 0.74/0.39 % (1540585)Peak memory usage: 10 MB
% 0.74/0.39 % (1540585)------------------------------
% 0.74/0.39 % (1540585)------------------------------
% 0.74/0.39 % (1540577) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1540567-1540577"...
% 0.74/0.39 % (1540577)...printing done.
% 0.74/0.39 % (1540577)Refutation found. Thanks to Tanya!
% 0.74/0.39 % SZS status Theorem for theBenchmark
% 0.74/0.39 % SZS output start Proof for theBenchmark
% 0.74/0.39 tff(f1,conjecture,(
% 0.74/0.39 ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 23),
% 0.74/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.74/0.39 tff(f2,negated_conjecture,(
% 0.74/0.39 ~ ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 23),
% 0.74/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.74/0.39 tff(f3,definition,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.74/0.39 introduced(theory,[tha_commutativity])).
% 0.74/0.39 tff(f4,definition,(
% 0.74/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.74/0.39 introduced(theory,[tha_associativity])).
% 0.74/0.39 tff(f14,definition,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.74/0.39 introduced(theory,[tha_commutativity])).
% 0.74/0.39 tff(f16,definition,(
% 0.74/0.39 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.74/0.39 introduced(theory,[tha_right_identity])).
% 0.74/0.39 tff(f18,definition,(
% 0.74/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.74/0.39 introduced(theory,[tha_distributivity])).
% 0.74/0.39 tff(f21,plain,(
% 0.74/0.39 ! [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) != 23),
% 0.74/0.39 inference(ennf_transformation,[],[f2])).
% 0.74/0.39 tff(f22,plain,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($sum($product(3,X0),$product(5,X1)) != 23) )),
% 0.74/0.39 inference(cnf_transformation,[],[f21])).
% 0.74/0.39 tff(f24,plain,(
% 0.74/0.39 ( ! [X0 : $int] : (23 != $sum($product(3,X0),5)) )),
% 0.74/0.39 inference(superposition,[],[f22,f16])).
% 0.74/0.39 tff(f25,plain,(
% 0.74/0.39 ( ! [X0 : $int] : (23 != $sum(5,$product(3,X0))) )),
% 0.74/0.39 inference(forward_demodulation,[],[f24,f3])).
% 0.74/0.39 tff(f126,plain,(
% 0.74/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X1,$sum(X0,X2))) )),
% 0.74/0.39 inference(superposition,[],[f4,f3])).
% 0.74/0.39 tff(f184,plain,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
% 0.74/0.39 inference(superposition,[],[f18,f16])).
% 0.74/0.39 tff(f189,plain,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(X1,1)) = $sum($product(X0,X1),X0)) )),
% 0.74/0.39 inference(superposition,[],[f18,f16])).
% 0.74/0.39 tff(f203,plain,(
% 0.74/0.39 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$product(X0,X1)) = $product(X0,$sum(X1,1))) )),
% 0.74/0.39 inference(forward_demodulation,[],[f189,f3])).
% 0.74/0.39 tff(f512,plain,(
% 0.74/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X1,$sum(X0,X2))) )),
% 0.74/0.39 inference(superposition,[],[f4,f126])).
% 0.74/0.39 tff(f1063,plain,(
% 0.74/0.39 ( ! [X0 : $int] : (23 != $sum(5,$sum(3,$product(3,X0)))) )),
% 0.74/0.39 inference(superposition,[],[f25,f203])).
% 0.74/0.39 tff(f1117,plain,(
% 0.74/0.39 ( ! [X0 : $int] : (23 != $sum(3,$sum(5,$product(3,X0)))) )),
% 0.74/0.39 inference(forward_demodulation,[],[f1063,f512])).
% 0.74/0.39 tff(f1148,plain,(
% 0.74/0.39 ( ! [X0 : $int] : (23 != $sum(3,$sum(5,$product(X0,3)))) )),
% 0.74/0.39 inference(superposition,[],[f1117,f14])).
% 0.74/0.39 tff(f1167,plain,(
% 0.74/0.39 23 != $sum(3,$product(5,$sum(1,3)))),
% 0.74/0.39 inference(superposition,[],[f1148,f184])).
% 0.74/0.39 tff(f1168,plain,(
% 0.74/0.39 $false),
% 0.74/0.39 inference(evaluation,[],[f1167])).
% 0.74/0.39 % SZS output end Proof for theBenchmark
% 0.74/0.39 % (1540577)------------------------------
% 0.74/0.39 % (1540577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.39 % (1540577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.39 % (1540577)CaDiCaL version: 2.1.3
% 0.74/0.39 % (1540577)Termination reason: Refutation
% 0.74/0.39 % (1540577)Time elapsed: 0.049 s
% 0.74/0.39 % (1540577)Peak memory usage: 12 MB
% 0.74/0.39 % (1540577)Instructions burned: 48 (million)
% 0.74/0.39 % (1540567)Success in time 0.092 s
% 0.74/0.39 % Vampire exiting
%------------------------------------------------------------------------------