%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI580_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:34:54 AM UTC 2026
% Result : Theorem 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI580_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n009.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 20:52:45 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.24/0.33 % (3460481)Will run a generic schedule for satisfiability detection.
% 0.24/0.33 % (3460487)% WARNING: option uhcvi not known.
% 0.24/0.33 % (3460487)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1913774007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.33 % (3460486)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=462676097_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.33 % (3460486)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.33 % (3460486)Terminated due to inappropriate strategy.
% 0.24/0.33 % (3460486)------------------------------
% 0.24/0.33 % (3460486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (3460486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (3460486)CaDiCaL version: 2.1.3
% 0.24/0.33 % (3460486)Termination reason: Inappropriate
% 0.24/0.33 % (3460486)Time elapsed: 0.0000 s
% 0.24/0.33 % (3460486)Peak memory usage: 10 MB
% 0.24/0.33 % (3460486)------------------------------
% 0.24/0.33 % (3460486)------------------------------
% 0.24/0.33 % (3460490)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2118007684:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.33 % (3460491)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4016847055:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.33 % (3460488)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2942366548:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.33 % (3460489)dis+10_1_sil=32000:sp=arity:random_seed=2309062714:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.33 % (3460492)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1912286875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.33 % (3460489) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3460481-3460489"...
% 0.24/0.33 % (3460487) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3460481-3460487"...
% 0.24/0.33 % (3460489)...printing done.
% 0.24/0.33 % (3460487)...printing done.
% 0.24/0.33 % (3460487)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Theorem for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% 0.24/0.33 tff(func_def_5, type, sK0: $int).
% 0.24/0.33 tff(f1,conjecture,(
% 0.24/0.33 ! [X0 : $int] : ? [X1 : $int] : ($less(X0,X1) & $less(X1,$sum(X0,3)))),
% 0.24/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1)).
% 0.24/0.33 tff(f2,negated_conjecture,(
% 0.24/0.33 ~ ! [X0 : $int] : ? [X1 : $int] : ($less(X0,X1) & $less(X1,$sum(X0,3)))),
% 0.24/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.33 tff(f3,definition,(
% 0.24/0.33 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.24/0.33 introduced(theory,[tha_commutativity])).
% 0.24/0.33 tff(f8,definition,(
% 0.24/0.33 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.24/0.33 introduced(theory,[tha_non-reflexivity])).
% 0.24/0.33 tff(f10,definition,(
% 0.24/0.33 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.24/0.33 introduced(theory,[tha_order_totality])).
% 0.24/0.33 tff(f11,definition,(
% 0.24/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.24/0.33 introduced(theory,[tha_order_monotonicity])).
% 0.24/0.33 tff(f12,definition,(
% 0.24/0.33 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.24/0.33 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.24/0.33 tff(f15,plain,(
% 0.24/0.33 ? [X0 : $int] : ! [X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,3)))),
% 0.24/0.33 inference(ennf_transformation,[],[f2])).
% 0.24/0.33 tff(f16,plain,(
% 0.24/0.33 ( ! [X1 : $int] : (~$less(X1,$sum(sK0,3)) | ~$less(sK0,X1)) )),
% 0.24/0.33 inference(cnf_transformation,[],[f15])).
% 0.24/0.33 tff(f20,plain,(
% 0.24/0.33 ( ! [X0 : $int] : (~$less(X0,$sum(3,sK0)) | ~$less(sK0,X0)) )),
% 0.24/0.33 inference(superposition,[],[f16,f3])).
% 0.24/0.33 tff(f24,plain,(
% 0.24/0.33 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.24/0.33 inference(resolution,[],[f12,f8])).
% 0.24/0.33 tff(f27,plain,(
% 0.24/0.33 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 0.24/0.33 inference(superposition,[],[f24,f3])).
% 0.24/0.33 tff(f69,plain,(
% 0.24/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X1)) | $less(X2,X0) | X0 = X2) )),
% 0.24/0.33 inference(resolution,[],[f11,f10])).
% 0.24/0.33 tff(f762,plain,(
% 0.24/0.33 ( ! [X0 : $int] : (~$less(sK0,$sum(X0,sK0)) | 3 = X0 | $less(3,X0)) )),
% 0.24/0.33 inference(resolution,[],[f69,f20])).
% 0.24/0.33 tff(f950,plain,(
% 0.24/0.33 3 = 1 | $less(3,1)),
% 0.24/0.33 inference(resolution,[],[f762,f27])).
% 0.24/0.33 tff(f958,plain,(
% 0.24/0.33 $false),
% 0.24/0.33 inference(evaluation,[],[f950])).
% 0.24/0.33 % SZS output end Proof for theBenchmark
% 0.24/0.33 % (3460487)------------------------------
% 0.24/0.33 % (3460487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (3460487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (3460487)CaDiCaL version: 2.1.3
% 0.24/0.33 % (3460487)Termination reason: Refutation
% 0.24/0.33 % (3460487)Time elapsed: 0.021 s
% 0.24/0.33 % (3460487)Peak memory usage: 12 MB
% 0.24/0.33 % (3460487)Instructions burned: 37 (million)
% 0.24/0.33 % (3460481)Success in time 0.044 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------