%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM864_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 : n001.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 12:25:58 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM864_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:41:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3977448)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3977456)dis+10_1_sil=32000:sp=arity:random_seed=4176763006:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3977456) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3977448-3977456"...
% 0.11/0.45 % (3977456)...printing done.
% 0.11/0.45 % (3977456)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% 0.11/0.45 tff(f1,conjecture,(
% 0.11/0.45 ? [X0 : $int] : $sum(X0,X0) = X0),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_idempotent_element)).
% 0.11/0.45 tff(f2,negated_conjecture,(
% 0.11/0.45 ~ ? [X0 : $int] : $sum(X0,X0) = X0),
% 0.11/0.45 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.45 tff(f5,definition,(
% 0.11/0.45 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.11/0.45 introduced(theory,[tha_right_identity])).
% 0.11/0.45 tff(f15,plain,(
% 0.11/0.45 ! [X0 : $int] : $sum(X0,X0) != X0),
% 0.11/0.45 inference(ennf_transformation,[],[f2])).
% 0.11/0.45 tff(f16,plain,(
% 0.11/0.45 ( ! [X0 : $int] : ($sum(X0,X0) != X0) )),
% 0.11/0.45 inference(cnf_transformation,[],[f15])).
% 0.11/0.45 tff(f17,plain,(
% 0.11/0.45 0 != 0),
% 0.11/0.45 inference(superposition,[],[f16,f5])).
% 0.11/0.45 tff(f18,plain,(
% 0.11/0.45 $false),
% 0.11/0.45 inference(trivial_inequality_removal,[],[f17])).
% 0.11/0.45 % SZS output end Proof for theBenchmark
% 0.11/0.45 % (3977456)------------------------------
% 0.11/0.45 % (3977456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3977456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3977456)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3977456)Termination reason: Refutation
% 0.11/0.45 % (3977456)Time elapsed: 0.001 s
% 0.11/0.45 % (3977456)Peak memory usage: 12 MB
% 0.11/0.45 % (3977448)Success in time 0.035 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------