%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI570_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 : n002.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 09:34:53 AM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI570_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:55:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.18/0.27 % (746700)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (746706)% WARNING: option uhcvi not known.
% 0.18/0.27 % (746706)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=136882694:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (746705)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3641722529_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (746707)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3644493884:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (746708)dis+10_1_sil=32000:sp=arity:random_seed=3888897139:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (746705)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.27 % (746705)Terminated due to inappropriate strategy.
% 0.18/0.27 % (746705)------------------------------
% 0.18/0.27 % (746705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (746709)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1083481016:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (746705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (746705)CaDiCaL version: 2.1.3
% 0.18/0.27 % (746705)Termination reason: Inappropriate
% 0.18/0.27 % (746705)Time elapsed: 0.0000 s
% 0.18/0.27 % (746705)Peak memory usage: 10 MB
% 0.18/0.27 % (746711)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=539535946:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (746710)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3655140979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (746705)------------------------------
% 0.18/0.27 % (746705)------------------------------
% 0.18/0.27 % (746709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-746700-746709"...
% 0.18/0.27 % (746709)...printing done.
% 0.18/0.27 % (746709)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% 0.18/0.27 tff(func_def_5, type, sK0: $int).
% 0.18/0.27 tff(func_def_6, type, sK1: $int).
% 0.18/0.27 tff(f1,conjecture,(
% 0.18/0.27 ! [X0 : $int,X1 : $int] : ($less(X1,X0) => $less(X1,$sum(X0,3)))),
% 0.18/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',weakening_ineq)).
% 0.18/0.27 tff(f2,negated_conjecture,(
% 0.18/0.27 ~ ! [X0 : $int,X1 : $int] : ($less(X1,X0) => $less(X1,$sum(X0,3)))),
% 0.18/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.27 tff(f3,definition,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.18/0.27 introduced(theory,[tha_commutativity])).
% 0.18/0.27 tff(f8,definition,(
% 0.18/0.27 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.18/0.27 introduced(theory,[tha_non-reflexivity])).
% 0.18/0.27 tff(f9,definition,(
% 0.18/0.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.18/0.27 introduced(theory,[tha_transitivity])).
% 0.18/0.27 tff(f11,definition,(
% 0.18/0.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.18/0.27 introduced(theory,[tha_order_monotonicity])).
% 0.18/0.27 tff(f12,definition,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.18/0.27 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.18/0.27 tff(f15,plain,(
% 0.18/0.27 ? [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,3)) & $less(X1,X0))),
% 0.18/0.27 inference(ennf_transformation,[],[f2])).
% 0.18/0.27 tff(f16,plain,(
% 0.18/0.27 $less(sK1,sK0)),
% 0.18/0.27 inference(cnf_transformation,[],[f15])).
% 0.18/0.27 tff(f17,plain,(
% 0.18/0.27 ~$less(sK1,$sum(sK0,3))),
% 0.18/0.27 inference(cnf_transformation,[],[f15])).
% 0.18/0.27 tff(f24,plain,(
% 0.18/0.27 ~$less(sK1,$sum(3,sK0))),
% 0.18/0.27 inference(superposition,[],[f17,f3])).
% 0.18/0.27 tff(f28,plain,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
% 0.18/0.27 inference(superposition,[],[f12,f3])).
% 0.18/0.27 tff(f35,plain,(
% 0.18/0.27 ( ! [X0 : $int] : ($less(sK1,X0) | ~$less(sK0,X0)) )),
% 0.18/0.27 inference(resolution,[],[f9,f16])).
% 0.18/0.27 tff(f44,plain,(
% 0.18/0.27 ( ! [X0 : $int] : (~$less(X0,$sum(3,sK0)) | ~$less(sK1,X0)) )),
% 0.18/0.27 inference(resolution,[],[f9,f24])).
% 0.18/0.27 tff(f52,plain,(
% 0.18/0.27 ~$less(sK0,sK1)),
% 0.18/0.27 inference(resolution,[],[f35,f8])).
% 0.18/0.27 tff(f146,plain,(
% 0.18/0.27 ( ! [X0 : $int] : (~$less(sK1,$sum(X0,sK0)) | ~$less(X0,3)) )),
% 0.18/0.27 inference(resolution,[],[f44,f11])).
% 0.18/0.27 tff(f202,plain,(
% 0.18/0.27 ~$less(1,3) | $less(sK0,sK1)),
% 0.18/0.27 inference(resolution,[],[f146,f28])).
% 0.18/0.27 tff(f207,plain,(
% 0.18/0.27 $less(sK0,sK1)),
% 0.18/0.27 inference(evaluation,[],[f202])).
% 0.18/0.27 tff(f208,plain,(
% 0.18/0.27 $false),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f207,f52])).
% 0.18/0.27 % SZS output end Proof for theBenchmark
% 0.18/0.27 % (746709)------------------------------
% 0.18/0.27 % (746709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (746709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (746709)CaDiCaL version: 2.1.3
% 0.18/0.27 % (746709)Termination reason: Refutation
% 0.18/0.27 % (746709)Time elapsed: 0.007 s
% 0.18/0.27 % (746709)Peak memory usage: 12 MB
% 0.18/0.27 % (746709)Instructions burned: 9 (million)
% 0.18/0.27 % (746700)Success in time 0.043 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------