%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI164_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 : n026.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 09:34:07 AM UTC 2026
% Result : Theorem 0.24s 0.34s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI164_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n026.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 20:46:27 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 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
% 0.24/0.34 % (35413)Will run a generic schedule for satisfiability detection.
% 0.24/0.34 % (35422)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=661920039:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.34 % (35422) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-35413-35422"...
% 0.24/0.34 % (35420)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1628753013:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.34 % (35422)...printing done.
% 0.24/0.34 % (35422)Refutation found. Thanks to Tanya!
% 0.24/0.34 % SZS status Theorem for theBenchmark
% 0.24/0.34 % SZS output start Proof for theBenchmark
% 0.24/0.34 tff(f1,conjecture,(
% 0.24/0.34 ? [X0 : $int,X1 : $int] : ($sum(X0,1) = X1 & $less(X0,X1))),
% 0.24/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exist_bigger_plus_one)).
% 0.24/0.34 tff(f2,negated_conjecture,(
% 0.24/0.34 ~ ? [X0 : $int,X1 : $int] : ($sum(X0,1) = X1 & $less(X0,X1))),
% 0.24/0.34 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.34 tff(f3,definition,(
% 0.24/0.34 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.24/0.34 introduced(theory,[tha_commutativity])).
% 0.24/0.34 tff(f7,definition,(
% 0.24/0.34 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.24/0.34 introduced(theory,[tha_inverse_op_unit])).
% 0.24/0.34 tff(f15,plain,(
% 0.24/0.34 ! [X0 : $int,X1 : $int] : ($sum(X0,1) != X1 | ~$less(X0,X1))),
% 0.24/0.34 inference(ennf_transformation,[],[f2])).
% 0.24/0.34 tff(f16,plain,(
% 0.24/0.34 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $sum(X0,1) != X1) )),
% 0.24/0.34 inference(cnf_transformation,[],[f15])).
% 0.24/0.34 tff(f17,plain,(
% 0.24/0.34 ( ! [X0 : $int] : (~$less(X0,$sum(X0,1))) )),
% 0.24/0.34 inference(equality_resolution,[],[f16])).
% 0.24/0.34 tff(f24,plain,(
% 0.24/0.34 ( ! [X0 : $int] : (~$less(X0,$sum(1,X0))) )),
% 0.24/0.34 inference(superposition,[],[f17,f3])).
% 0.24/0.34 tff(f27,plain,(
% 0.24/0.34 ~$less($uminus(1),0)),
% 0.24/0.34 inference(superposition,[],[f24,f7])).
% 0.24/0.34 tff(f30,plain,(
% 0.24/0.34 $false),
% 0.24/0.34 inference(evaluation,[],[f27])).
% 0.24/0.34 % SZS output end Proof for theBenchmark
% 0.24/0.34 % (35422)------------------------------
% 0.24/0.34 % (35422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (35422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (35422)CaDiCaL version: 2.1.3
% 0.24/0.34 % (35422)Termination reason: Refutation
% 0.24/0.34 % (35422)Time elapsed: 0.001 s
% 0.24/0.34 % (35422)Peak memory usage: 12 MB
% 0.24/0.34 % (35422)Instructions burned: 1 (million)
% 0.24/0.34 % (35413)Success in time 0.024 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------