%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI172_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 : n012.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 09:34:07 AM UTC 2026
% Result : Theorem 0.09s 0.17s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI172_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:43:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.17 % (3724518)Will run a generic schedule for satisfiability detection.
% 0.09/0.17 % (3724528)% WARNING: option uhcvi not known.
% 0.09/0.17 % (3724531)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3721094004:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.17 % (3724527)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=630725348_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.17 % (3724532)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2177136738:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.17 % (3724529)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3289734604:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.17 % (3724528)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1079810591:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.17 % (3724530)dis+10_1_sil=32000:sp=arity:random_seed=453014478:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.17 % (3724527)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.17 % (3724527)Terminated due to inappropriate strategy.
% 0.09/0.17 % (3724527)------------------------------
% 0.09/0.17 % (3724527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17 % (3724527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17 % (3724527)CaDiCaL version: 2.1.3
% 0.09/0.17 % (3724527)Termination reason: Inappropriate
% 0.09/0.17 % (3724527)Time elapsed: 0.0000 s
% 0.09/0.17 % (3724527)Peak memory usage: 10 MB
% 0.09/0.17 % (3724533)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3469380975:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.17 % (3724527)------------------------------
% 0.09/0.17 % (3724527)------------------------------
% 0.09/0.17 % (3724543)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3461639116:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.09/0.17 % (3724543)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.17 % (3724543)Terminated due to inappropriate strategy.
% 0.09/0.17 % (3724543)------------------------------
% 0.09/0.17 % (3724543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17 % (3724543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17 % (3724543)CaDiCaL version: 2.1.3
% 0.09/0.17 % (3724543)Termination reason: Inappropriate
% 0.09/0.17 % (3724543)Time elapsed: 0.0000 s
% 0.09/0.17 % (3724543)Peak memory usage: 10 MB
% 0.09/0.17 % (3724543)------------------------------
% 0.09/0.17 % (3724543)------------------------------
% 0.09/0.17 % (3724528) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3724518-3724528"...
% 0.09/0.17 % (3724528)...printing done.
% 0.09/0.17 % (3724549)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1221851146:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.17 % (3724532) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3724518-3724532"...
% 0.09/0.17 % (3724528)Refutation found. Thanks to Tanya!
% 0.09/0.17 % SZS status Theorem for theBenchmark
% 0.09/0.17 % SZS output start Proof for theBenchmark
% 0.09/0.17 tff(f1,conjecture,(
% 0.09/0.17 ? [X0 : $int] : $less($sum(X0,X0),-10)),
% 0.09/0.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.09/0.17 tff(f2,negated_conjecture,(
% 0.09/0.17 ~ ? [X0 : $int] : $less($sum(X0,X0),-10)),
% 0.09/0.17 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.17 tff(f3,definition,(
% 0.09/0.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.09/0.17 introduced(theory,[tha_commutativity])).
% 0.09/0.17 tff(f4,definition,(
% 0.09/0.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.09/0.17 introduced(theory,[tha_associativity])).
% 0.09/0.17 tff(f7,definition,(
% 0.09/0.17 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.09/0.17 introduced(theory,[tha_inverse_op_unit])).
% 0.09/0.17 tff(f10,definition,(
% 0.09/0.17 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.09/0.17 introduced(theory,[tha_order_totality])).
% 0.09/0.17 tff(f11,definition,(
% 0.09/0.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.09/0.17 introduced(theory,[tha_order_monotonicity])).
% 0.09/0.17 tff(f15,plain,(
% 0.09/0.17 ! [X0 : $int] : ~$less($sum(X0,X0),-10)),
% 0.09/0.17 inference(ennf_transformation,[],[f2])).
% 0.09/0.17 tff(f16,plain,(
% 0.09/0.17 ( ! [X0 : $int] : (~$less($sum(X0,X0),-10)) )),
% 0.09/0.17 inference(cnf_transformation,[],[f15])).
% 0.09/0.17 tff(f41,plain,(
% 0.09/0.17 ( ! [X0 : $int] : ($less(-10,$sum(X0,X0)) | $sum(X0,X0) = -10) )),
% 0.09/0.17 inference(resolution,[],[f10,f16])).
% 0.09/0.17 tff(f69,plain,(
% 0.09/0.17 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(0,$sum(X1,$uminus(X0)))) )),
% 0.09/0.17 inference(superposition,[],[f11,f7])).
% 0.09/0.17 tff(f83,plain,(
% 0.09/0.17 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.09/0.17 inference(superposition,[],[f4,f7])).
% 0.09/0.17 tff(f103,plain,(
% 0.09/0.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.09/0.17 inference(evaluation,[],[f83])).
% 0.09/0.17 tff(f220,plain,(
% 0.09/0.17 ( ! [X0 : $int] : ($less(0,$sum($sum(X0,X0),$uminus(-10))) | $sum(X0,X0) = -10) )),
% 0.09/0.17 inference(resolution,[],[f69,f41])).
% 0.09/0.17 tff(f221,plain,(
% 0.09/0.17 ( ! [X0 : $int] : ($less(0,$sum($sum(X0,X0),10)) | $sum(X0,X0) = -10) )),
% 0.09/0.17 inference(evaluation,[],[f220])).
% 0.09/0.17 tff(f222,plain,(
% 0.09/0.17 ( ! [X0 : $int] : ($less(0,$sum(10,$sum(X0,X0))) | $sum(X0,X0) = -10) )),
% 0.09/0.17 inference(forward_demodulation,[],[f221,f3])).
% 0.09/0.17 tff(f1567,plain,(
% 0.09/0.17 $less(0,$uminus(10)) | -10 = $sum($uminus(10),$uminus(10))),
% 0.09/0.17 inference(superposition,[],[f222,f103])).
% 0.09/0.17 tff(f1570,plain,(
% 0.09/0.17 $false),
% 0.09/0.17 inference(evaluation,[],[f1567])).
% 0.09/0.17 % SZS output end Proof for theBenchmark
% 0.09/0.17 % (3724528)------------------------------
% 0.09/0.17 % (3724528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17 % (3724528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17 % (3724528)CaDiCaL version: 2.1.3
% 0.09/0.17 % (3724528)Termination reason: Refutation
% 0.09/0.17 % (3724528)Time elapsed: 0.021 s
% 0.09/0.17 % (3724528)Peak memory usage: 12 MB
% 0.09/0.17 % (3724528)Instructions burned: 55 (million)
% 0.09/0.17 % (3724518)Success in time 0.043 s
% 0.09/0.17 % Vampire exiting
%------------------------------------------------------------------------------