%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI355_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 : n007.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 09:34:27 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI355_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:46:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.27 % (2795344)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (2795362)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2011703164:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (2795362) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2795344-2795362"...
% 0.20/0.27 % (2795362)...printing done.
% 0.20/0.27 % (2795359)% WARNING: option uhcvi not known.
% 0.20/0.27 % (2795362)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 tff(f1,conjecture,(
% 0.20/0.27 ? [X0 : $real] : $less(X0,0/1)),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_less_problem_11)).
% 0.20/0.27 tff(f2,negated_conjecture,(
% 0.20/0.27 ~ ? [X0 : $real] : $less(X0,0/1)),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27 tff(f7,definition,(
% 0.20/0.27 ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.20/0.27 introduced(theory,[tha_inverse_op_unit])).
% 0.20/0.27 tff(f8,definition,(
% 0.20/0.27 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.20/0.27 introduced(theory,[tha_non-reflexivity])).
% 0.20/0.27 tff(f11,definition,(
% 0.20/0.27 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.20/0.27 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.27 tff(f12,definition,(
% 0.20/0.27 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.20/0.27 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.20/0.27 tff(f14,plain,(
% 0.20/0.27 ! [X0 : $real] : ~$less(X0,0/1)),
% 0.20/0.27 inference(ennf_transformation,[],[f2])).
% 0.20/0.27 tff(f15,plain,(
% 0.20/0.27 ( ! [X0 : $real] : (~$less(X0,0/1)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f14])).
% 0.20/0.27 tff(f22,plain,(
% 0.20/0.27 ( ! [X0 : $real] : ($less(X0,$sum(X0,1/1))) )),
% 0.20/0.27 inference(resolution,[],[f12,f8])).
% 0.20/0.27 tff(f79,plain,(
% 0.20/0.27 ( ! [X0 : $real,X1 : $real] : ($less($sum(X0,$uminus(X1)),0/1) | ~$less(X0,X1)) )),
% 0.20/0.27 inference(superposition,[],[f11,f7])).
% 0.20/0.27 tff(f85,plain,(
% 0.20/0.27 ( ! [X0 : $real,X1 : $real] : (~$less(X0,X1)) )),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f79,f15])).
% 0.20/0.27 tff(f87,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(resolution,[],[f85,f22])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (2795362)------------------------------
% 0.20/0.27 % (2795362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2795362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2795362)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2795362)Termination reason: Refutation
% 0.20/0.27 % (2795362)Time elapsed: 0.002 s
% 0.20/0.27 % (2795362)Peak memory usage: 12 MB
% 0.20/0.27 % (2795362)Instructions burned: 4 (million)
% 0.20/0.27 % (2795344)Success in time 0.036 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------