%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI195_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 : n018.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 09:34:10 AM UTC 2026
% Result : Theorem 0.07s 0.23s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI195_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n018.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:46:25 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 Running first-order model finding
% 0.07/0.19 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
% 0.07/0.23 % (3747544)Will run a generic schedule for satisfiability detection.
% 0.07/0.23 % (3747550)% WARNING: option uhcvi not known.
% 0.07/0.23 % (3747550)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3077471543:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.23 % (3747550) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3747544-3747550"...
% 0.07/0.23 % (3747550)...printing done.
% 0.07/0.23 % (3747550)Refutation found. Thanks to Tanya!
% 0.07/0.23 % SZS status Theorem for theBenchmark
% 0.07/0.23 % SZS output start Proof for theBenchmark
% 0.07/0.23 tff(f1,conjecture,(
% 0.07/0.23 ? [X0 : $rat,X1 : $rat] : $less(X0,X1)),
% 0.07/0.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_6)).
% 0.07/0.23 tff(f2,negated_conjecture,(
% 0.07/0.23 ~ ? [X0 : $rat,X1 : $rat] : $less(X0,X1)),
% 0.07/0.23 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.23 tff(f12,definition,(
% 0.07/0.23 ( ! [X0 : $rat,X1 : $rat] : ($less(X0,X1) | $less(X1,$sum(X0,1/1))) )),
% 0.07/0.23 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.07/0.23 tff(f14,plain,(
% 0.07/0.23 ! [X0 : $rat,X1 : $rat] : ~$less(X0,X1)),
% 0.07/0.23 inference(ennf_transformation,[],[f2])).
% 0.07/0.23 tff(f15,plain,(
% 0.07/0.23 ( ! [X0 : $rat,X1 : $rat] : (~$less(X0,X1)) )),
% 0.07/0.23 inference(cnf_transformation,[],[f14])).
% 0.07/0.23 tff(f21,plain,(
% 0.07/0.23 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,$sum(X0,1/1))) )),
% 0.07/0.23 inference(forward_subsumption_resolution,[],[f12,f15])).
% 0.07/0.23 tff(f22,plain,(
% 0.07/0.23 $false),
% 0.07/0.23 inference(forward_subsumption_resolution,[],[f21,f15])).
% 0.07/0.23 % SZS output end Proof for theBenchmark
% 0.07/0.23 % (3747550)------------------------------
% 0.07/0.23 % (3747550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.23 % (3747550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.23 % (3747550)CaDiCaL version: 2.1.3
% 0.07/0.23 % (3747550)Termination reason: Refutation
% 0.07/0.23 % (3747550)Time elapsed: 0.001 s
% 0.07/0.23 % (3747550)Peak memory usage: 12 MB
% 0.07/0.23 % (3747550)Instructions burned: 1 (million)
% 0.07/0.23 % (3747544)Success in time 0.025 s
% 0.07/0.23 % Vampire exiting
%------------------------------------------------------------------------------