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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO349^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Oct  3 08:08:55 PM UTC 2025

% Result   : Theorem 3.47s 3.65s
% Output   : Proof 3.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO349^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command    : duper %s
% 0.12/0.32  % Computer : n004.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri Oct  3 13:08:53 EDT 2025
% 0.12/0.32  % CPUTime    : 
% 3.47/3.65  SZS status Theorem for theBenchmark.p
% 3.47/3.65  SZS output start Proof for theBenchmark.p
% 3.47/3.65  Clause #0 (by assumption #[]): Eq (Not (Or (Or (Or (Not cA) (Not cB)) (Not (cP cA))) (cP cB))) True
% 3.47/3.65  Clause #1 (by clausification #[0]): Eq (Or (Or (Or (Not cA) (Not cB)) (Not (cP cA))) (cP cB)) False
% 3.47/3.65  Clause #2 (by clausification #[1]): Eq (cP cB) False
% 3.47/3.65  Clause #3 (by clausification #[1]): Eq (Or (Or (Not cA) (Not cB)) (Not (cP cA))) False
% 3.47/3.65  Clause #4 (by identity loobHoist #[2]): Or (Eq (cP True) False) (Eq cB False)
% 3.47/3.65  Clause #6 (by clausification #[3]): Eq (Not (cP cA)) False
% 3.47/3.65  Clause #7 (by clausification #[3]): Eq (Or (Not cA) (Not cB)) False
% 3.47/3.65  Clause #8 (by clausification #[6]): Eq (cP cA) True
% 3.47/3.65  Clause #9 (by identity loobHoist #[8]): Or (Eq (cP True) True) (Eq cA False)
% 3.47/3.65  Clause #12 (by clausification #[7]): Eq (Not cB) False
% 3.47/3.65  Clause #13 (by clausification #[7]): Eq (Not cA) False
% 3.47/3.65  Clause #14 (by clausification #[12]): Eq cB True
% 3.47/3.65  Clause #15 (by backward demodulation #[14, 4]): Or (Eq (cP True) False) (Eq True False)
% 3.47/3.65  Clause #18 (by clausification #[13]): Eq cA True
% 3.47/3.65  Clause #19 (by backward demodulation #[18, 9]): Or (Eq (cP True) True) (Eq True False)
% 3.47/3.65  Clause #21 (by clausification #[19]): Eq (cP True) True
% 3.47/3.65  Clause #22 (by clausification #[15]): Eq (cP True) False
% 3.47/3.65  Clause #23 (by superposition #[22, 21]): Eq False True
% 3.47/3.65  Clause #24 (by clausification #[23]): False
% 3.47/3.65  SZS output end Proof for theBenchmark.p
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