%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n021.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 : Thu Aug 31 07:09:50 EDT 2023

% Result   : Theorem 3.63s 3.83s
% Output   : Proof 3.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 18:49:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.63/3.83  SZS status Theorem for theBenchmark.p
% 3.63/3.83  SZS output start Proof for theBenchmark.p
% 3.63/3.83  Clause #10 (by assumption #[]): Eq (Iff or_2 (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y)))) True
% 3.63/3.83  Clause #22 (by assumption #[]): Eq (Iff r2 (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q)))) True
% 3.63/3.83  Clause #43 (by assumption #[]): Eq or_2 True
% 3.63/3.83  Clause #51 (by assumption #[]): Eq (Not r2) True
% 3.63/3.83  Clause #86 (by clausification #[51]): Eq r2 False
% 3.63/3.83  Clause #123 (by clausification #[10]): Or (Eq or_2 False) (Eq (∀ (X Y : Iota), is_a_theorem (implies Y (or X Y))) True)
% 3.63/3.83  Clause #138 (by clausification #[123]): ∀ (a : Iota), Or (Eq or_2 False) (Eq (∀ (Y : Iota), is_a_theorem (implies Y (or a Y))) True)
% 3.63/3.83  Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq or_2 False) (Eq (is_a_theorem (implies a (or a_1 a))) True)
% 3.63/3.83  Clause #140 (by forward demodulation #[139, 43]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (or a_1 a))) True)
% 3.63/3.83  Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a_1 a))) True
% 3.63/3.83  Clause #178 (by clausification #[22]): Or (Eq r2 True) (Eq (∀ (P Q : Iota), is_a_theorem (implies Q (or P Q))) False)
% 3.63/3.83  Clause #180 (by clausification #[178]): ∀ (a : Iota), Or (Eq r2 True) (Eq (Not (∀ (Q : Iota), is_a_theorem (implies Q (or (skS.0 23 a) Q)))) True)
% 3.63/3.83  Clause #181 (by clausification #[180]): ∀ (a : Iota), Or (Eq r2 True) (Eq (∀ (Q : Iota), is_a_theorem (implies Q (or (skS.0 23 a) Q))) False)
% 3.63/3.83  Clause #182 (by clausification #[181]): ∀ (a a_1 : Iota),
% 3.63/3.83    Or (Eq r2 True) (Eq (Not (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1))))) True)
% 3.63/3.83  Clause #183 (by clausification #[182]): ∀ (a a_1 : Iota),
% 3.63/3.83    Or (Eq r2 True) (Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False)
% 3.63/3.83  Clause #184 (by forward demodulation #[183, 86]): ∀ (a a_1 : Iota),
% 3.63/3.83    Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False)
% 3.63/3.83  Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 24 a a_1) (or (skS.0 23 a) (skS.0 24 a a_1)))) False
% 3.63/3.83  Clause #186 (by superposition #[185, 141]): Eq False True
% 3.63/3.83  Clause #187 (by clausification #[186]): False
% 3.63/3.83  SZS output end Proof for theBenchmark.p
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