%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI545_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 : 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 09:34:50 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI545_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:51:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.20/0.30 % (758165)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (758182)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=184100684:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % (758177)% WARNING: option uhcvi not known.
% 0.20/0.30 % (758176)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=419791299_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (758179)dis+10_1_sil=32000:sp=arity:random_seed=1439462419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (758177)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3839638089:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (758176)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (758178)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=674773439:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (758180)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=627643819:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (758176)Terminated due to inappropriate strategy.
% 0.20/0.30 % (758176)------------------------------
% 0.20/0.30 % (758176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (758176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (758181)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1218852040:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (758176)CaDiCaL version: 2.1.3
% 0.20/0.30 % (758176)Termination reason: Inappropriate
% 0.20/0.30 % (758176)Time elapsed: 0.0000 s
% 0.20/0.30 % (758176)Peak memory usage: 10 MB
% 0.20/0.30 % (758176)------------------------------
% 0.20/0.30 % (758176)------------------------------
% 0.20/0.30 % (758196)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=528450597:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.30 % (758196)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (758196)Terminated due to inappropriate strategy.
% 0.20/0.30 % (758196)------------------------------
% 0.20/0.30 % (758196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (758196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (758196)CaDiCaL version: 2.1.3
% 0.20/0.30 % (758196)Termination reason: Inappropriate
% 0.20/0.30 % (758196)Time elapsed: 0.0000 s
% 0.20/0.30 % (758196)Peak memory usage: 10 MB
% 0.20/0.30 % (758196)------------------------------
% 0.20/0.30 % (758196)------------------------------
% 0.20/0.30 % (758177) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-758165-758177"...
% 0.20/0.30 % (758177)...printing done.
% 0.20/0.30 % (758177)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% 0.20/0.30 tff(f1,conjecture,(
% 0.20/0.30 ? [X0 : $int] : $less($sum(X0,X0),-13)),
% 0.20/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_9)).
% 0.20/0.30 tff(f2,negated_conjecture,(
% 0.20/0.30 ~ ? [X0 : $int] : $less($sum(X0,X0),-13)),
% 0.20/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.30 tff(f3,definition,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.30 introduced(theory,[tha_commutativity])).
% 0.20/0.30 tff(f4,definition,(
% 0.20/0.30 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.20/0.30 introduced(theory,[tha_associativity])).
% 0.20/0.30 tff(f7,definition,(
% 0.20/0.30 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.20/0.30 introduced(theory,[tha_inverse_op_unit])).
% 0.20/0.30 tff(f10,definition,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.20/0.30 introduced(theory,[tha_order_totality])).
% 0.20/0.30 tff(f11,definition,(
% 0.20/0.30 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.20/0.30 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.30 tff(f15,plain,(
% 0.20/0.30 ! [X0 : $int] : ~$less($sum(X0,X0),-13)),
% 0.20/0.30 inference(ennf_transformation,[],[f2])).
% 0.20/0.30 tff(f16,plain,(
% 0.20/0.30 ( ! [X0 : $int] : (~$less($sum(X0,X0),-13)) )),
% 0.20/0.30 inference(cnf_transformation,[],[f15])).
% 0.20/0.30 tff(f41,plain,(
% 0.20/0.30 ( ! [X0 : $int] : ($less(-13,$sum(X0,X0)) | $sum(X0,X0) = -13) )),
% 0.20/0.30 inference(resolution,[],[f10,f16])).
% 0.20/0.30 tff(f69,plain,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(0,$sum(X1,$uminus(X0)))) )),
% 0.20/0.30 inference(superposition,[],[f11,f7])).
% 0.20/0.30 tff(f83,plain,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.20/0.30 inference(superposition,[],[f4,f7])).
% 0.20/0.30 tff(f103,plain,(
% 0.20/0.30 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.20/0.30 inference(evaluation,[],[f83])).
% 0.20/0.30 tff(f308,plain,(
% 0.20/0.30 ( ! [X0 : $int] : ($less(0,$sum($sum(X0,X0),$uminus(-13))) | $sum(X0,X0) = -13) )),
% 0.20/0.30 inference(resolution,[],[f69,f41])).
% 0.20/0.30 tff(f309,plain,(
% 0.20/0.30 ( ! [X0 : $int] : ($less(0,$sum($sum(X0,X0),13)) | $sum(X0,X0) = -13) )),
% 0.20/0.30 inference(evaluation,[],[f308])).
% 0.20/0.30 tff(f310,plain,(
% 0.20/0.30 ( ! [X0 : $int] : ($less(0,$sum(13,$sum(X0,X0))) | $sum(X0,X0) = -13) )),
% 0.20/0.30 inference(forward_demodulation,[],[f309,f3])).
% 0.20/0.30 tff(f1741,plain,(
% 0.20/0.30 $less(0,$uminus(13)) | -13 = $sum($uminus(13),$uminus(13))),
% 0.20/0.30 inference(superposition,[],[f310,f103])).
% 0.20/0.30 tff(f1744,plain,(
% 0.20/0.30 $false),
% 0.20/0.30 inference(evaluation,[],[f1741])).
% 0.20/0.30 % SZS output end Proof for theBenchmark
% 0.20/0.30 % (758177)------------------------------
% 0.20/0.30 % (758177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (758177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (758177)CaDiCaL version: 2.1.3
% 0.20/0.30 % (758177)Termination reason: Refutation
% 0.20/0.30 % (758177)Time elapsed: 0.037 s
% 0.20/0.30 % (758177)Peak memory usage: 12 MB
% 0.20/0.30 % (758177)Instructions burned: 59 (million)
% 0.20/0.30 % (758165)Success in time 0.073 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------