%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n011.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 Sep  1 02:11:30 EDT 2023

% Result   : Theorem 3.61s 3.78s
% Output   : Proof 3.61s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15  % Command    : duper %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 18:37:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 3.61/3.78  SZS status Theorem for theBenchmark.p
% 3.61/3.78  SZS output start Proof for theBenchmark.p
% 3.61/3.78  Clause #0 (by assumption #[]): Eq
% 3.61/3.78    (Not
% 3.61/3.78      ((Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) →
% 3.61/3.78        Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X))))
% 3.61/3.78    True
% 3.61/3.78  Clause #1 (by clausification #[0]): Eq ((Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) → Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X)))
% 3.61/3.78    False
% 3.61/3.78  Clause #2 (by clausification #[1]): Eq (Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) True
% 3.61/3.78  Clause #3 (by clausification #[1]): Eq (Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X))) False
% 3.61/3.78  Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (big_p Y) (big_p (skS.0 0 a))) True
% 3.61/3.78  Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (big_p a) (big_p (skS.0 0 a_1))) True
% 3.61/3.78  Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_p a) True) (Eq (big_p (skS.0 0 a_1)) False)
% 3.61/3.78  Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_p a) False) (Eq (big_p (skS.0 0 a_1)) True)
% 3.61/3.78  Clause #8 (by clausification #[3]): Eq (∀ (X : Iota), Not (big_p X)) False
% 3.61/3.78  Clause #9 (by clausification #[3]): Eq (∀ (X : Iota), big_p X) False
% 3.61/3.78  Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (Not (Not (big_p (skS.0 1 a)))) True
% 3.61/3.78  Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (Not (big_p (skS.0 1 a))) False
% 3.61/3.78  Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (big_p (skS.0 1 a)) True
% 3.61/3.78  Clause #13 (by clausification #[9]): ∀ (a : Iota), Eq (Not (big_p (skS.0 2 a))) True
% 3.61/3.78  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (big_p (skS.0 2 a)) False
% 3.61/3.78  Clause #15 (by superposition #[7, 12]): ∀ (a : Iota), Or (Eq True False) (Eq (big_p (skS.0 0 a)) True)
% 3.61/3.78  Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) True
% 3.61/3.78  Clause #17 (by superposition #[16, 6]): ∀ (a : Iota), Or (Eq (big_p a) True) (Eq True False)
% 3.61/3.78  Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (big_p a) True
% 3.61/3.78  Clause #19 (by superposition #[18, 14]): Eq True False
% 3.61/3.78  Clause #20 (by clausification #[19]): False
% 3.61/3.78  SZS output end Proof for theBenchmark.p
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