%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO154^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n012.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 04:21:40 EDT 2023

% Result   : Theorem 3.54s 3.72s
% Output   : Proof 3.54s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO154^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 03:12:26 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 3.54/3.72  SZS status Theorem for theBenchmark.p
% 3.54/3.72  SZS output start Proof for theBenchmark.p
% 3.54/3.72  Clause #0 (by assumption #[]): Eq
% 3.54/3.72    (Not
% 3.54/3.72      (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists fun Xw => cR Xw))
% 3.54/3.72    True
% 3.54/3.72  Clause #1 (by betaEtaReduce #[0]): Eq (Not (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists cR)) True
% 3.54/3.72  Clause #2 (by clausification #[1]): Eq (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy)) → Exists cR) False
% 3.54/3.72  Clause #3 (by clausification #[2]): Eq (And (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) (∀ (Xy : Iota), cQ Xy → cR (g Xy))) True
% 3.54/3.72  Clause #4 (by clausification #[2]): Eq (Exists cR) False
% 3.54/3.72  Clause #5 (by clausification #[3]): Eq (∀ (Xy : Iota), cQ Xy → cR (g Xy)) True
% 3.54/3.72  Clause #6 (by clausification #[3]): Eq (And (cP a) (∀ (Xx : Iota), cP Xx → cQ (f Xx))) True
% 3.54/3.72  Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (cQ a → cR (g a)) True
% 3.54/3.72  Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cQ a) False) (Eq (cR (g a)) True)
% 3.54/3.72  Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (cR a) False
% 3.54/3.72  Clause #10 (by clausification #[6]): Eq (∀ (Xx : Iota), cP Xx → cQ (f Xx)) True
% 3.54/3.72  Clause #11 (by clausification #[6]): Eq (cP a) True
% 3.54/3.72  Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cP a → cQ (f a)) True
% 3.54/3.72  Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cQ (f a)) True)
% 3.54/3.72  Clause #14 (by superposition #[11, 13]): Or (Eq (cQ (f a)) True) (Eq False True)
% 3.54/3.72  Clause #15 (by clausification #[14]): Eq (cQ (f a)) True
% 3.54/3.72  Clause #16 (by superposition #[15, 8]): Or (Eq True False) (Eq (cR (g (f a))) True)
% 3.54/3.72  Clause #17 (by clausification #[16]): Eq (cR (g (f a))) True
% 3.54/3.72  Clause #18 (by superposition #[17, 9]): Eq True False
% 3.54/3.72  Clause #19 (by clausification #[18]): False
% 3.54/3.72  SZS output end Proof for theBenchmark.p
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