%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM878_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 : n019.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 12:25:59 PM UTC 2026
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM878_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n019.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:37:18 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.21/0.49 % (3427942)Will run a generic schedule for satisfiability detection.
% 0.21/0.49 % (3427948)% WARNING: option uhcvi not known.
% 0.21/0.49 % (3427948)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4033677420:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.49 % (3427948) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3427942-3427948"...
% 0.21/0.49 % (3427948)...printing done.
% 0.21/0.49 % (3427948)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% 0.21/0.49 tff(f1,conjecture,(
% 0.21/0.49 ? [X0 : $int] : $product(X0,X0) = X0),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotent_element)).
% 0.21/0.49 tff(f2,negated_conjecture,(
% 0.21/0.49 ~ ? [X0 : $int] : $product(X0,X0) = X0),
% 0.21/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.49 tff(f16,definition,(
% 0.21/0.49 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.21/0.49 introduced(theory,[tha_right_identity])).
% 0.21/0.49 tff(f21,plain,(
% 0.21/0.49 ! [X0 : $int] : $product(X0,X0) != X0),
% 0.21/0.49 inference(ennf_transformation,[],[f2])).
% 0.21/0.49 tff(f22,plain,(
% 0.21/0.49 ( ! [X0 : $int] : ($product(X0,X0) != X0) )),
% 0.21/0.49 inference(cnf_transformation,[],[f21])).
% 0.21/0.49 tff(f24,plain,(
% 0.21/0.49 1 != 1),
% 0.21/0.49 inference(superposition,[],[f22,f16])).
% 0.21/0.49 tff(f25,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f24])).
% 0.21/0.49 % SZS output end Proof for theBenchmark
% 0.21/0.49 % (3427948)------------------------------
% 0.21/0.49 % (3427948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.49 % (3427948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.49 % (3427948)CaDiCaL version: 2.1.3
% 0.21/0.49 % (3427948)Termination reason: Refutation
% 0.21/0.49 % (3427948)Time elapsed: 0.001 s
% 0.21/0.49 % (3427948)Peak memory usage: 12 MB
% 0.21/0.49 % (3427948)Instructions burned: 1 (million)
% 0.21/0.49 % (3427942)Success in time 0.024 s
% 0.21/0.49 % Vampire exiting
%------------------------------------------------------------------------------