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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n007.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 : Mon Sep  7 11:35:38 AM UTC 2026

% Result   : Theorem 8.27s 8.55s
% Output   : Proof 8.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05  % Command    : duper %s
% 0.11/0.37  % Computer : n007.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   : Sat Sep  5 12:55:54 UTC 2026
% 0.11/0.37  % CPUTime    : 
% 8.27/8.55  SZS status Theorem for theBenchmark.p
% 8.27/8.55  SZS output start Proof for theBenchmark.p
% 8.27/8.55  Clause #0 (by assumption #[]): Eq (Not ((Or p q → Or p r) → Or p (q → r))) True
% 8.27/8.55  Clause #1 (by clausification #[0]): Eq ((Or p q → Or p r) → Or p (q → r)) False
% 8.27/8.55  Clause #2 (by clausification #[1]): Eq (Or p q → Or p r) True
% 8.27/8.55  Clause #3 (by clausification #[1]): Eq (Or p (q → r)) False
% 8.27/8.55  Clause #4 (by clausification #[2]): Or (Eq (Or p q) False) (Eq (Or p r) True)
% 8.27/8.55  Clause #5 (by clausification #[4]): Or (Eq (Or p r) True) (Eq q False)
% 8.27/8.55  Clause #7 (by clausification #[5]): Or (Eq q False) (Or (Eq p True) (Eq r True))
% 8.27/8.55  Clause #8 (by clausification #[3]): Eq (q → r) False
% 8.27/8.55  Clause #9 (by clausification #[3]): Eq p False
% 8.27/8.55  Clause #10 (by clausification #[8]): Eq q True
% 8.27/8.55  Clause #11 (by clausification #[8]): Eq r False
% 8.27/8.55  Clause #12 (by backward demodulation #[10, 7]): Or (Eq True False) (Or (Eq p True) (Eq r True))
% 8.27/8.55  Clause #14 (by clausification #[12]): Or (Eq p True) (Eq r True)
% 8.27/8.55  Clause #15 (by forward demodulation #[14, 9]): Or (Eq False True) (Eq r True)
% 8.27/8.55  Clause #16 (by clausification #[15]): Eq r True
% 8.27/8.55  Clause #17 (by superposition #[16, 11]): Eq True False
% 8.27/8.55  Clause #18 (by clausification #[17]): False
% 8.27/8.55  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------