%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI604_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 : n026.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 09:34:57 AM UTC 2026
% Result : Theorem 0.19s 0.33s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI604_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n026.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:56:12 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.33 % (59786)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (59792)% WARNING: option uhcvi not known.
% 0.19/0.33 % (59792)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3328281690:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (59791)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2242111628_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (59795)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=566313008:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (59793)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2232136651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (59794)dis+10_1_sil=32000:sp=arity:random_seed=3251815272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (59791)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.33 % (59791)Terminated due to inappropriate strategy.
% 0.19/0.33 % (59791)------------------------------
% 0.19/0.33 % (59791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (59791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (59791)CaDiCaL version: 2.1.3
% 0.19/0.33 % (59791)Termination reason: Inappropriate
% 0.19/0.33 % (59791)Time elapsed: 0.0000 s
% 0.19/0.33 % (59791)Peak memory usage: 10 MB
% 0.19/0.33 % (59797)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2396969712:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % (59791)------------------------------
% 0.19/0.33 % (59791)------------------------------
% 0.19/0.33 % (59796)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4106063905:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % (59804)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1249263512:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.33 % (59804)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.33 % (59804)Terminated due to inappropriate strategy.
% 0.19/0.33 % (59804)------------------------------
% 0.19/0.33 % (59804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (59804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (59804)CaDiCaL version: 2.1.3
% 0.19/0.33 % (59804)Termination reason: Inappropriate
% 0.19/0.33 % (59804)Time elapsed: 0.0000 s
% 0.19/0.33 % (59804)Peak memory usage: 10 MB
% 0.19/0.33 % (59804)------------------------------
% 0.19/0.33 % (59804)------------------------------
% 0.19/0.33 % (59807)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4015554634:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % (59792) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-59786-59792"...
% 0.19/0.33 % (59792)...printing done.
% 0.19/0.33 % (59792)Refutation found. Thanks to Tanya!
% 0.19/0.33 % SZS status Theorem for theBenchmark
% 0.19/0.33 % SZS output start Proof for theBenchmark
% 0.19/0.33 tff(func_def_0, type, f: $int > $int).
% 0.19/0.33 tff(func_def_5, type, sK0: $int).
% 0.19/0.33 tff(f1,conjecture,(
% 0.19/0.33 ! [X0 : $int] : $greater(f(X0),X0) => ! [X0 : $int] : $less($uminus(f($uminus(X0))),f(X0))),
% 0.19/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fX_gt_X_implies_negfnegX_lt_fX)).
% 0.19/0.33 tff(f2,negated_conjecture,(
% 0.19/0.33 ~(! [X0 : $int] : $greater(f(X0),X0) => ! [X0 : $int] : $less($uminus(f($uminus(X0))),f(X0)))),
% 0.19/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.33 tff(f3,plain,(
% 0.19/0.33 ~(! [X0 : $int] : $less(X0,f(X0)) => ! [X0 : $int] : $less($uminus(f($uminus(X0))),f(X0)))),
% 0.19/0.33 inference(theory_normalization,[],[f2])).
% 0.19/0.33 tff(f4,definition,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.33 introduced(theory,[tha_commutativity])).
% 0.19/0.33 tff(f5,definition,(
% 0.19/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.19/0.33 introduced(theory,[tha_associativity])).
% 0.19/0.33 tff(f8,definition,(
% 0.19/0.33 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.19/0.33 introduced(theory,[tha_inverse_op_unit])).
% 0.19/0.33 tff(f10,definition,(
% 0.19/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.19/0.33 introduced(theory,[tha_transitivity])).
% 0.19/0.33 tff(f12,definition,(
% 0.19/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.19/0.33 introduced(theory,[tha_order_monotonicity])).
% 0.19/0.33 tff(f16,plain,(
% 0.19/0.33 ~(! [X0 : $int] : $less(X0,f(X0)) => ! [X1 : $int] : $less($uminus(f($uminus(X1))),f(X1)))),
% 0.19/0.33 inference(rectify,[],[f3])).
% 0.19/0.33 tff(f17,plain,(
% 0.19/0.33 ? [X1 : $int] : ~$less($uminus(f($uminus(X1))),f(X1)) & ! [X0 : $int] : $less(X0,f(X0))),
% 0.19/0.33 inference(ennf_transformation,[],[f16])).
% 0.19/0.33 tff(f18,plain,(
% 0.19/0.33 ( ! [X0 : $int] : ($less(X0,f(X0))) )),
% 0.19/0.33 inference(cnf_transformation,[],[f17])).
% 0.19/0.33 tff(f19,plain,(
% 0.19/0.33 ~$less($uminus(f($uminus(sK0))),f(sK0))),
% 0.19/0.33 inference(cnf_transformation,[],[f17])).
% 0.19/0.33 tff(f31,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($less(X0,f(X1)) | ~$less(X0,X1)) )),
% 0.19/0.33 inference(resolution,[],[f10,f18])).
% 0.19/0.33 tff(f33,plain,(
% 0.19/0.33 ~$less($uminus(f($uminus(sK0))),sK0)),
% 0.19/0.33 inference(resolution,[],[f31,f19])).
% 0.19/0.33 tff(f65,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(f(X0),X1))) )),
% 0.19/0.33 inference(resolution,[],[f12,f18])).
% 0.19/0.33 tff(f79,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.19/0.33 inference(superposition,[],[f5,f8])).
% 0.19/0.33 tff(f86,plain,(
% 0.19/0.33 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X1,$sum(X2,X0))) )),
% 0.19/0.33 inference(superposition,[],[f5,f4])).
% 0.19/0.33 tff(f94,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.19/0.33 inference(evaluation,[],[f79])).
% 0.19/0.33 tff(f188,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,$sum($uminus(f(X1)),X0)),X0)) )),
% 0.19/0.33 inference(superposition,[],[f65,f94])).
% 0.19/0.33 tff(f444,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($sum(X1,0) = $sum($uminus(X0),$sum(X1,X0))) )),
% 0.19/0.33 inference(superposition,[],[f86,f8])).
% 0.19/0.33 tff(f494,plain,(
% 0.19/0.33 ( ! [X0 : $int,X1 : $int] : ($sum($uminus(X0),$sum(X1,X0)) = X1) )),
% 0.19/0.33 inference(evaluation,[],[f444])).
% 0.19/0.33 tff(f4047,plain,(
% 0.19/0.33 ( ! [X0 : $int] : ($less($uminus(f($uminus(X0))),X0)) )),
% 0.19/0.33 inference(superposition,[],[f188,f494])).
% 0.19/0.33 tff(f5809,plain,(
% 0.19/0.33 $false),
% 0.19/0.33 inference(backward_subsumption_resolution,[],[f33,f4047])).
% 0.19/0.33 % SZS output end Proof for theBenchmark
% 0.19/0.33 % (59792)------------------------------
% 0.19/0.33 % (59792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (59792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (59792)CaDiCaL version: 2.1.3
% 0.19/0.33 % (59792)Termination reason: Refutation
% 0.19/0.33 % (59792)Time elapsed: 0.069 s
% 0.19/0.33 % (59792)Peak memory usage: 14 MB
% 0.19/0.33 % (59792)Instructions burned: 213 (million)
% 0.19/0.33 % (59786)Success in time 0.099 s
% 0.19/0.33 % Vampire exiting
%------------------------------------------------------------------------------