%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM894_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:26:00 PM UTC 2026
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM894_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 % Computer : n009.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 27 21:38:30 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50 % (2419852)Will run a generic schedule for satisfiability detection.
% 0.23/0.50 % (2419861)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=30061630:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.50 % (2419861) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2419852-2419861"...
% 0.23/0.50 % (2419861)...printing done.
% 0.23/0.50 % (2419857)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=641186313_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.50 % (2419861)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% 0.23/0.50 tff(func_def_4, type, sK0: $int).
% 0.23/0.50 tff(func_def_5, type, sK1: $int).
% 0.23/0.50 tff(f1,conjecture,(
% 0.23/0.50 ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => $lesseq(X1,X0))),
% 0.23/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_successor)).
% 0.23/0.50 tff(f2,negated_conjecture,(
% 0.23/0.50 ~ ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => $lesseq(X1,X0))),
% 0.23/0.50 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.50 tff(f3,plain,(
% 0.23/0.50 ~ ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => ~$less(X0,X1))),
% 0.23/0.50 inference(theory_normalization,[],[f2])).
% 0.23/0.50 tff(f15,definition,(
% 0.23/0.50 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 0.23/0.50 introduced(theory,[tha_extra_integer_ordering])).
% 0.23/0.50 tff(f16,plain,(
% 0.23/0.50 ? [X0 : $int,X1 : $int] : ($less(X0,X1) & $less(X1,$sum(X0,1)))),
% 0.23/0.50 inference(ennf_transformation,[],[f3])).
% 0.23/0.50 tff(f17,plain,(
% 0.23/0.50 $less(sK1,$sum(sK0,1))),
% 0.23/0.50 inference(cnf_transformation,[],[f16])).
% 0.23/0.50 tff(f18,plain,(
% 0.23/0.50 $less(sK0,sK1)),
% 0.23/0.50 inference(cnf_transformation,[],[f16])).
% 0.23/0.50 tff(f30,plain,(
% 0.23/0.50 ~$less(sK0,sK1)),
% 0.23/0.50 inference(resolution,[],[f15,f17])).
% 0.23/0.50 tff(f34,plain,(
% 0.23/0.50 $false),
% 0.23/0.50 inference(forward_subsumption_resolution,[],[f30,f18])).
% 0.23/0.50 % SZS output end Proof for theBenchmark
% 0.23/0.50 % (2419861)------------------------------
% 0.23/0.50 % (2419861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.50 % (2419861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.50 % (2419861)CaDiCaL version: 2.1.3
% 0.23/0.50 % (2419861)Termination reason: Refutation
% 0.23/0.50 % (2419861)Time elapsed: 0.002 s
% 0.23/0.50 % (2419861)Peak memory usage: 12 MB
% 0.23/0.50 % (2419861)Instructions burned: 1 (million)
% 0.23/0.50 % (2419852)Success in time 0.024 s
% 0.23/0.50 % Vampire exiting
%------------------------------------------------------------------------------