%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM921_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 : n019.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 12:26:03 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM921_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:39:33 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.48 % (3433141)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (3433148)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=569578692:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (3433147)% WARNING: option uhcvi not known.
% 0.18/0.48 % (3433147)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3845236771:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (3433149)dis+10_1_sil=32000:sp=arity:random_seed=2637833089:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (3433146)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2413404502_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (3433150)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1116366997:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (3433146)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.48 % (3433146)Terminated due to inappropriate strategy.
% 0.18/0.48 % (3433146)------------------------------
% 0.18/0.48 % (3433146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3433146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3433146)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3433146)Termination reason: Inappropriate
% 0.18/0.48 % (3433146)Time elapsed: 0.001 s
% 0.18/0.48 % (3433146)Peak memory usage: 10 MB
% 0.18/0.48 % (3433146)------------------------------
% 0.18/0.48 % (3433146)------------------------------
% 0.18/0.48 % (3433149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3433141-3433149"...
% 0.18/0.48 % (3433149)...printing done.
% 0.18/0.48 % (3433150) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3433141-3433150"...
% 0.18/0.48 % (3433151)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=636291859:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (3433149)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% 0.18/0.48 tff(func_def_0, type, f: $int > $int).
% 0.18/0.48 tff(func_def_6, type, sK0: $int).
% 0.18/0.48 tff(f1,conjecture,(
% 0.18/0.48 ! [X0 : $int] : $greater(f(X0),X0) => ! [X1 : $int] : $less($difference(X1,f(X1)),0)),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.18/0.48 tff(f2,negated_conjecture,(
% 0.18/0.48 ~(! [X0 : $int] : $greater(f(X0),X0) => ! [X1 : $int] : $less($difference(X1,f(X1)),0))),
% 0.18/0.48 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.48 tff(f3,plain,(
% 0.18/0.48 ~(! [X0 : $int] : $less(X0,f(X0)) => ! [X1 : $int] : $less($sum(X1,$uminus(f(X1))),0))),
% 0.18/0.48 inference(theory_normalization,[],[f2])).
% 0.18/0.48 tff(f8,definition,(
% 0.18/0.48 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.18/0.48 introduced(theory,[tha_inverse_op_unit])).
% 0.18/0.48 tff(f12,definition,(
% 0.18/0.48 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.18/0.48 introduced(theory,[tha_order_monotonicity])).
% 0.18/0.48 tff(f16,plain,(
% 0.18/0.48 ? [X1 : $int] : ~$less($sum(X1,$uminus(f(X1))),0) & ! [X0 : $int] : $less(X0,f(X0))),
% 0.18/0.48 inference(ennf_transformation,[],[f3])).
% 0.18/0.48 tff(f17,plain,(
% 0.18/0.48 ? [X0 : $int] : ~$less($sum(X0,$uminus(f(X0))),0) & ! [X1 : $int] : $less(X1,f(X1))),
% 0.18/0.48 inference(rectify,[],[f16])).
% 0.18/0.48 tff(f18,plain,(
% 0.18/0.48 ~$less($sum(sK0,$uminus(f(sK0))),0) & ! [X1 : $int] : $less(X1,f(X1))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17])).
% 0.18/0.48 tff(f19,plain,(
% 0.18/0.48 ( ! [X1 : $int] : ($less(X1,f(X1))) )),
% 0.18/0.48 inference(cnf_transformation,[],[f18])).
% 0.18/0.48 tff(f20,plain,(
% 0.18/0.48 ~$less($sum(sK0,$uminus(f(sK0))),0)),
% 0.18/0.48 inference(cnf_transformation,[],[f18])).
% 0.18/0.48 tff(f103,plain,(
% 0.18/0.48 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,$uminus(X1)),0) | ~$less(X0,X1)) )),
% 0.18/0.48 inference(superposition,[],[f12,f8])).
% 0.18/0.48 tff(f220,plain,(
% 0.18/0.48 ~$less(sK0,f(sK0))),
% 0.18/0.48 inference(resolution,[],[f103,f20])).
% 0.18/0.48 tff(f231,plain,(
% 0.18/0.48 $false),
% 0.18/0.48 inference(forward_subsumption_resolution,[],[f220,f19])).
% 0.18/0.48 % SZS output end Proof for theBenchmark
% 0.18/0.48 % (3433149)------------------------------
% 0.18/0.48 % (3433149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3433149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3433149)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3433149)Termination reason: Refutation
% 0.18/0.48 % (3433149)Time elapsed: 0.008 s
% 0.18/0.48 % (3433149)Peak memory usage: 11 MB
% 0.18/0.48 % (3433149)Instructions burned: 8 (million)
% 0.18/0.48 % (3433141)Success in time 0.039 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------