%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n009.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 02:11:09 EDT 2023

% Result   : Theorem 3.53s 3.69s
% Output   : Proof 3.53s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13  % Command    : duper %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 19:03:05 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 3.53/3.69  SZS status Theorem for theBenchmark.p
% 3.53/3.69  SZS output start Proof for theBenchmark.p
% 3.53/3.69  Clause #0 (by assumption #[]): Eq (Not (Exists fun Y => (∀ (X : Iota), big_f X → big_f Y → big_g X) → p → ∀ (X : Iota), big_f X → big_g Y)) True
% 3.53/3.69  Clause #1 (by clausification #[0]): Eq (Exists fun Y => (∀ (X : Iota), big_f X → big_f Y → big_g X) → p → ∀ (X : Iota), big_f X → big_g Y) False
% 3.53/3.69  Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq ((∀ (X : Iota), big_f X → big_f a → big_g X) → p → ∀ (X : Iota), big_f X → big_g a) False
% 3.53/3.69  Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X : Iota), big_f X → big_f a → big_g X) True
% 3.53/3.69  Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (p → ∀ (X : Iota), big_f X → big_g a) False
% 3.53/3.69  Clause #5 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (big_f a → big_f a_1 → big_g a) True
% 3.53/3.69  Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_f a) False) (Eq (big_f a_1 → big_g a) True)
% 3.53/3.69  Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (big_f a) False) (Or (Eq (big_f a_1) False) (Eq (big_g a) True))
% 3.53/3.69  Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (X : Iota), big_f X → big_g a) False
% 3.53/3.69  Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (big_f (skS.0 0 a a_1) → big_g a)) True
% 3.53/3.69  Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1) → big_g a) False
% 3.53/3.69  Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1)) True
% 3.53/3.69  Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (big_g a) False
% 3.53/3.69  Clause #14 (by superposition #[12, 7]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (big_f a) False) (Eq (big_g (skS.0 0 a_1 a_2)) True))
% 3.53/3.69  Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a) False) (Eq (big_g (skS.0 0 a_1 a_2)) True)
% 3.53/3.69  Clause #16 (by superposition #[15, 12]): ∀ (a a_1 : Iota), Or (Eq (big_g (skS.0 0 a a_1)) True) (Eq False True)
% 3.53/3.69  Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (big_g (skS.0 0 a a_1)) True
% 3.53/3.69  Clause #18 (by superposition #[17, 13]): Eq True False
% 3.53/3.69  Clause #19 (by clausification #[18]): False
% 3.53/3.69  SZS output end Proof for theBenchmark.p
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