%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI032_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 : 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 09:33:54 AM UTC 2026
% Result : Theorem 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI032_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:41:31 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.19/0.26 % (3431681)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (3431687)% WARNING: option uhcvi not known.
% 0.19/0.26 % (3431687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1124790839:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (3431687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3431681-3431687"...
% 0.19/0.26 % (3431687)...printing done.
% 0.19/0.26 % (3431687)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% 0.19/0.26 tff(f1,conjecture,(
% 0.19/0.26 ? [X0 : $int] : $greater(15,X0)),
% 0.19/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_15_greater_something)).
% 0.19/0.26 tff(f2,negated_conjecture,(
% 0.19/0.26 ~ ? [X0 : $int] : $greater(15,X0)),
% 0.19/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.26 tff(f3,plain,(
% 0.19/0.26 ~ ? [X0 : $int] : $less(X0,15)),
% 0.19/0.26 inference(theory_normalization,[],[f2])).
% 0.19/0.26 tff(f4,definition,(
% 0.19/0.26 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.26 introduced(theory,[tha_commutativity])).
% 0.19/0.26 tff(f6,definition,(
% 0.19/0.26 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.19/0.26 introduced(theory,[tha_right_identity])).
% 0.19/0.26 tff(f8,definition,(
% 0.19/0.26 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.19/0.26 introduced(theory,[tha_inverse_op_unit])).
% 0.19/0.26 tff(f11,definition,(
% 0.19/0.26 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.19/0.26 introduced(theory,[tha_order_totality])).
% 0.19/0.26 tff(f12,definition,(
% 0.19/0.26 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.19/0.26 introduced(theory,[tha_order_monotonicity])).
% 0.19/0.26 tff(f16,plain,(
% 0.19/0.26 ! [X0 : $int] : ~$less(X0,15)),
% 0.19/0.26 inference(ennf_transformation,[],[f3])).
% 0.19/0.26 tff(f17,plain,(
% 0.19/0.26 ( ! [X0 : $int] : (~$less(X0,15)) )),
% 0.19/0.26 inference(cnf_transformation,[],[f16])).
% 0.19/0.26 tff(f53,plain,(
% 0.19/0.26 ( ! [X0 : $int] : ($less(15,X0) | 15 = X0) )),
% 0.19/0.26 inference(resolution,[],[f11,f17])).
% 0.19/0.26 tff(f84,plain,(
% 0.19/0.26 ( ! [X0 : $int,X1 : $int] : ($less($sum(15,X0),$sum(X1,X0)) | 15 = X1) )),
% 0.19/0.26 inference(resolution,[],[f12,f53])).
% 0.19/0.26 tff(f122,plain,(
% 0.19/0.26 ( ! [X0 : $int] : ($less(0,$sum(X0,$uminus(15))) | 15 = X0) )),
% 0.19/0.26 inference(superposition,[],[f84,f8])).
% 0.19/0.26 tff(f133,plain,(
% 0.19/0.26 ( ! [X0 : $int] : ($less(0,$sum(X0,-15)) | 15 = X0) )),
% 0.19/0.26 inference(evaluation,[],[f122])).
% 0.19/0.26 tff(f143,plain,(
% 0.19/0.26 ( ! [X0 : $int] : ($less(0,$sum(-15,X0)) | 15 = X0) )),
% 0.19/0.26 inference(superposition,[],[f133,f4])).
% 0.19/0.26 tff(f164,plain,(
% 0.19/0.26 $less(0,-15) | 15 = 0),
% 0.19/0.26 inference(superposition,[],[f143,f6])).
% 0.19/0.26 tff(f168,plain,(
% 0.19/0.26 $false),
% 0.19/0.26 inference(evaluation,[],[f164])).
% 0.19/0.26 % SZS output end Proof for theBenchmark
% 0.19/0.26 % (3431687)------------------------------
% 0.19/0.26 % (3431687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (3431687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (3431687)CaDiCaL version: 2.1.3
% 0.19/0.26 % (3431687)Termination reason: Refutation
% 0.19/0.26 % (3431687)Time elapsed: 0.003 s
% 0.19/0.26 % (3431687)Peak memory usage: 12 MB
% 0.19/0.26 % (3431687)Instructions burned: 6 (million)
% 0.19/0.26 % (3431681)Success in time 0.036 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------