%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n017.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 02:10:20 EDT 2023

% Result   : Theorem 3.45s 3.61s
% Output   : Proof 3.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 20:04:41 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 3.45/3.61  SZS status Theorem for theBenchmark.p
% 3.45/3.61  SZS output start Proof for theBenchmark.p
% 3.45/3.61  Clause #0 (by assumption #[]): Eq (Exists fun X => big_p X) True
% 3.45/3.61  Clause #1 (by assumption #[]): Eq (∀ (X : Iota), big_f X → And (Not (big_g X)) (big_r X)) True
% 3.45/3.61  Clause #2 (by assumption #[]): Eq (∀ (X : Iota), big_p X → And (big_g X) (big_f X)) True
% 3.45/3.61  Clause #5 (by betaEtaReduce #[0]): Eq (Exists big_p) True
% 3.45/3.61  Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) True
% 3.45/3.61  Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (big_p a → And (big_g a) (big_f a)) True
% 3.45/3.61  Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (big_p a) False) (Eq (And (big_g a) (big_f a)) True)
% 3.45/3.61  Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (big_p a) False) (Eq (big_f a) True)
% 3.45/3.61  Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (big_p a) False) (Eq (big_g a) True)
% 3.45/3.61  Clause #11 (by superposition #[9, 6]): ∀ (a : Iota), Or (Eq (big_f (skS.0 0 a)) True) (Eq False True)
% 3.45/3.61  Clause #12 (by superposition #[10, 6]): ∀ (a : Iota), Or (Eq (big_g (skS.0 0 a)) True) (Eq False True)
% 3.45/3.61  Clause #13 (by clausification #[1]): ∀ (a : Iota), Eq (big_f a → And (Not (big_g a)) (big_r a)) True
% 3.45/3.61  Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (big_f a) False) (Eq (And (Not (big_g a)) (big_r a)) True)
% 3.45/3.61  Clause #16 (by clausification #[14]): ∀ (a : Iota), Or (Eq (big_f a) False) (Eq (Not (big_g a)) True)
% 3.45/3.61  Clause #17 (by clausification #[16]): ∀ (a : Iota), Or (Eq (big_f a) False) (Eq (big_g a) False)
% 3.45/3.61  Clause #28 (by clausification #[11]): ∀ (a : Iota), Eq (big_f (skS.0 0 a)) True
% 3.45/3.61  Clause #30 (by superposition #[28, 17]): ∀ (a : Iota), Or (Eq True False) (Eq (big_g (skS.0 0 a)) False)
% 3.45/3.61  Clause #31 (by clausification #[30]): ∀ (a : Iota), Eq (big_g (skS.0 0 a)) False
% 3.45/3.61  Clause #33 (by clausification #[12]): ∀ (a : Iota), Eq (big_g (skS.0 0 a)) True
% 3.45/3.61  Clause #34 (by superposition #[33, 31]): Eq True False
% 3.45/3.61  Clause #36 (by clausification #[34]): False
% 3.45/3.61  SZS output end Proof for theBenchmark.p
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