%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI356_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 : n017.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 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI356_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n017.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:44:15 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.10/0.24 % (3998499)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (3998505)% WARNING: option uhcvi not known.
% 0.10/0.24 % (3998505)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=850895302:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.24 % (3998505) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3998499-3998505"...
% 0.10/0.24 % (3998505)...printing done.
% 0.10/0.24 % (3998505)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Theorem for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% 0.10/0.24 tff(f1,conjecture,(
% 0.10/0.24 ? [X0 : $real] : $less(X0,-32500/1)),
% 0.10/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_less_problem_12)).
% 0.10/0.24 tff(f2,negated_conjecture,(
% 0.10/0.24 ~ ? [X0 : $real] : $less(X0,-32500/1)),
% 0.10/0.24 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.24 tff(f3,definition,(
% 0.10/0.24 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.10/0.24 introduced(theory,[tha_commutativity])).
% 0.10/0.24 tff(f4,definition,(
% 0.10/0.24 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.10/0.24 introduced(theory,[tha_associativity])).
% 0.10/0.24 tff(f7,definition,(
% 0.10/0.24 ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.10/0.24 introduced(theory,[tha_inverse_op_unit])).
% 0.10/0.24 tff(f8,definition,(
% 0.10/0.24 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 0.10/0.24 introduced(theory,[tha_non-reflexivity])).
% 0.10/0.24 tff(f12,definition,(
% 0.10/0.24 ( ! [X0 : $real,X1 : $real] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.10/0.24 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.10/0.24 tff(f14,plain,(
% 0.10/0.24 ! [X0 : $real] : ~$less(X0,-32500/1)),
% 0.10/0.24 inference(ennf_transformation,[],[f2])).
% 0.10/0.24 tff(f15,plain,(
% 0.10/0.24 ( ! [X0 : $real] : (~$less(X0,-32500/1)) )),
% 0.10/0.24 inference(cnf_transformation,[],[f14])).
% 0.10/0.24 tff(f21,plain,(
% 0.10/0.24 ( ! [X0 : $real] : ($less(X0,$sum(X0,1/1))) )),
% 0.10/0.24 inference(resolution,[],[f12,f8])).
% 0.10/0.24 tff(f60,plain,(
% 0.10/0.24 ( ! [X0 : $real,X1 : $real] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.10/0.24 inference(superposition,[],[f4,f7])).
% 0.10/0.24 tff(f76,plain,(
% 0.10/0.24 ( ! [X0 : $real,X1 : $real] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.10/0.24 inference(evaluation,[],[f60])).
% 0.10/0.24 tff(f80,plain,(
% 0.10/0.24 ( ! [X0 : $real] : ($less(X0,$sum(1/1,X0))) )),
% 0.10/0.24 inference(superposition,[],[f21,f3])).
% 0.10/0.24 tff(f126,plain,(
% 0.10/0.24 ( ! [X0 : $real] : ($less($sum($uminus(1/1),X0),X0)) )),
% 0.10/0.24 inference(superposition,[],[f80,f76])).
% 0.10/0.24 tff(f128,plain,(
% 0.10/0.24 ( ! [X0 : $real] : ($less($sum(-1/1,X0),X0)) )),
% 0.10/0.24 inference(evaluation,[],[f126])).
% 0.10/0.24 tff(f141,plain,(
% 0.10/0.24 $false),
% 0.10/0.24 inference(resolution,[],[f128,f15])).
% 0.10/0.24 % SZS output end Proof for theBenchmark
% 0.10/0.24 % (3998505)------------------------------
% 0.10/0.24 % (3998505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.24 % (3998505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.24 % (3998505)CaDiCaL version: 2.1.3
% 0.10/0.24 % (3998505)Termination reason: Refutation
% 0.10/0.24 % (3998505)Time elapsed: 0.003 s
% 0.10/0.24 % (3998505)Peak memory usage: 12 MB
% 0.10/0.24 % (3998505)Instructions burned: 6 (million)
% 0.10/0.24 % (3998499)Success in time 0.038 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------