%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI118_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 : 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 09:34:04 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI118_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:45:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (33368)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (33387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3982514783:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (33387) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33368-33387"...
% 0.19/0.27 % (33387)...printing done.
% 0.19/0.27 % (33387)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 tff(f1,conjecture,(
% 0.19/0.27 ? [X0 : $int,X1 : $int] : $product(X0,X1) = X0),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_something_anotherthing_firstthing)).
% 0.19/0.27 tff(f2,negated_conjecture,(
% 0.19/0.27 ~ ? [X0 : $int,X1 : $int] : $product(X0,X1) = X0),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 tff(f16,definition,(
% 0.19/0.27 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.19/0.27 introduced(theory,[tha_right_identity])).
% 0.19/0.27 tff(f21,plain,(
% 0.19/0.27 ! [X0 : $int,X1 : $int] : $product(X0,X1) != X0),
% 0.19/0.27 inference(ennf_transformation,[],[f2])).
% 0.19/0.27 tff(f22,plain,(
% 0.19/0.27 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) != X0) )),
% 0.19/0.27 inference(cnf_transformation,[],[f21])).
% 0.19/0.27 tff(f30,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f16,f22])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (33387)------------------------------
% 0.19/0.27 % (33387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (33387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (33387)CaDiCaL version: 2.1.3
% 0.19/0.27 % (33387)Termination reason: Refutation
% 0.19/0.27 % (33387)Time elapsed: 0.001 s
% 0.19/0.27 % (33387)Peak memory usage: 12 MB
% 0.19/0.27 % (33387)Instructions burned: 1 (million)
% 0.19/0.27 % (33368)Success in time 0.034 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------