%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI004_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 : n016.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 09:33:51 AM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n016.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:45:49 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.21/0.26 % (3965021)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (3965030)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=555116378:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.26 % (3965030) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3965021-3965030"...
% 0.21/0.26 % (3965027)% WARNING: option uhcvi not known.
% 0.21/0.26 % (3965030)...printing done.
% 0.21/0.26 % (3965030)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% 0.21/0.26 tff(f1,conjecture,(
% 0.21/0.26 ? [X0 : $int] : $less(X0,13)),
% 0.21/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_13)).
% 0.21/0.26 tff(f2,negated_conjecture,(
% 0.21/0.26 ~ ? [X0 : $int] : $less(X0,13)),
% 0.21/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.26 tff(f3,definition,(
% 0.21/0.26 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.21/0.26 introduced(theory,[tha_commutativity])).
% 0.21/0.26 tff(f7,definition,(
% 0.21/0.26 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.21/0.26 introduced(theory,[tha_inverse_op_unit])).
% 0.21/0.26 tff(f8,definition,(
% 0.21/0.26 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.21/0.26 introduced(theory,[tha_non-reflexivity])).
% 0.21/0.26 tff(f9,definition,(
% 0.21/0.26 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.21/0.26 introduced(theory,[tha_transitivity])).
% 0.21/0.26 tff(f10,definition,(
% 0.21/0.26 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.21/0.26 introduced(theory,[tha_order_totality])).
% 0.21/0.26 tff(f12,definition,(
% 0.21/0.26 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.21/0.26 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.21/0.26 tff(f15,plain,(
% 0.21/0.26 ! [X0 : $int] : ~$less(X0,13)),
% 0.21/0.26 inference(ennf_transformation,[],[f2])).
% 0.21/0.26 tff(f16,plain,(
% 0.21/0.26 ( ! [X0 : $int] : (~$less(X0,13)) )),
% 0.21/0.26 inference(cnf_transformation,[],[f15])).
% 0.21/0.26 tff(f23,plain,(
% 0.21/0.26 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.21/0.26 inference(resolution,[],[f12,f8])).
% 0.21/0.26 tff(f31,plain,(
% 0.21/0.26 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 0.21/0.26 inference(superposition,[],[f23,f3])).
% 0.21/0.26 tff(f56,plain,(
% 0.21/0.26 ( ! [X0 : $int] : ($less(13,X0) | 13 = X0) )),
% 0.21/0.26 inference(resolution,[],[f10,f16])).
% 0.21/0.26 tff(f61,plain,(
% 0.21/0.26 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(13,X1) | 13 = X0) )),
% 0.21/0.26 inference(resolution,[],[f56,f9])).
% 0.21/0.26 tff(f78,plain,(
% 0.21/0.26 ( ! [X0 : $int] : ($less(13,$sum(1,X0)) | 13 = X0) )),
% 0.21/0.26 inference(resolution,[],[f61,f31])).
% 0.21/0.26 tff(f134,plain,(
% 0.21/0.26 $less(13,0) | 13 = $uminus(1)),
% 0.21/0.26 inference(superposition,[],[f78,f7])).
% 0.21/0.26 tff(f137,plain,(
% 0.21/0.26 $false),
% 0.21/0.26 inference(evaluation,[],[f134])).
% 0.21/0.26 % SZS output end Proof for theBenchmark
% 0.21/0.26 % (3965030)------------------------------
% 0.21/0.26 % (3965030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (3965030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (3965030)CaDiCaL version: 2.1.3
% 0.21/0.26 % (3965030)Termination reason: Refutation
% 0.21/0.26 % (3965030)Time elapsed: 0.003 s
% 0.21/0.26 % (3965030)Peak memory usage: 12 MB
% 0.21/0.26 % (3965030)Instructions burned: 5 (million)
% 0.21/0.26 % (3965021)Success in time 0.027 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------