%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n024.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 02:11:28 EDT 2023

% Result   : Theorem 3.46s 3.63s
% Output   : Proof 3.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 18:24:38 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.46/3.63  SZS status Theorem for theBenchmark.p
% 3.46/3.63  SZS output start Proof for theBenchmark.p
% 3.46/3.63  Clause #0 (by assumption #[]): Eq (Not (Exists fun V => ∀ (Y : Iota), Exists fun Z => Or (big_p a Y (h Y)) (big_p V Y (f Y)) → big_p V Y Z)) True
% 3.46/3.63  Clause #1 (by clausification #[0]): Eq (Exists fun V => ∀ (Y : Iota), Exists fun Z => Or (big_p a Y (h Y)) (big_p V Y (f Y)) → big_p V Y Z) False
% 3.46/3.63  Clause #2 (by clausification #[1]): ∀ (a_1 : Iota), Eq (∀ (Y : Iota), Exists fun Z => Or (big_p a Y (h Y)) (big_p a_1 Y (f Y)) → big_p a_1 Y Z) False
% 3.46/3.63  Clause #3 (by clausification #[2]): ∀ (a_1 a_2 : Iota),
% 3.46/3.63    Eq
% 3.46/3.63      (Not
% 3.46/3.63        (Exists fun Z =>
% 3.46/3.63          Or (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (big_p a_1 (skS.0 0 a_1 a_2) (f (skS.0 0 a_1 a_2))) →
% 3.46/3.63            big_p a_1 (skS.0 0 a_1 a_2) Z))
% 3.46/3.63      True
% 3.46/3.63  Clause #4 (by clausification #[3]): ∀ (a_1 a_2 : Iota),
% 3.46/3.63    Eq
% 3.46/3.63      (Exists fun Z =>
% 3.46/3.63        Or (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (big_p a_1 (skS.0 0 a_1 a_2) (f (skS.0 0 a_1 a_2))) →
% 3.46/3.63          big_p a_1 (skS.0 0 a_1 a_2) Z)
% 3.46/3.64      False
% 3.46/3.64  Clause #5 (by clausification #[4]): ∀ (a_1 a_2 a_3 : Iota),
% 3.46/3.64    Eq
% 3.46/3.64      (Or (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (big_p a_1 (skS.0 0 a_1 a_2) (f (skS.0 0 a_1 a_2))) →
% 3.46/3.64        big_p a_1 (skS.0 0 a_1 a_2) a_3)
% 3.46/3.64      False
% 3.46/3.64  Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota),
% 3.46/3.64    Eq (Or (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (big_p a_1 (skS.0 0 a_1 a_2) (f (skS.0 0 a_1 a_2)))) True
% 3.46/3.64  Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (big_p a (skS.0 0 a a_1) a_2) False
% 3.46/3.64  Clause #8 (by clausification #[6]): ∀ (a_1 a_2 : Iota),
% 3.46/3.64    Or (Eq (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True)
% 3.46/3.64      (Eq (big_p a_1 (skS.0 0 a_1 a_2) (f (skS.0 0 a_1 a_2))) True)
% 3.46/3.64  Clause #9 (by superposition #[7, 8]): ∀ (a_1 a_2 : Iota), Or (Eq (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True) (Eq True False)
% 3.46/3.64  Clause #10 (by clausification #[9]): ∀ (a_1 a_2 : Iota), Eq (big_p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True
% 3.46/3.64  Clause #12 (by superposition #[10, 7]): Eq True False
% 3.46/3.64  Clause #13 (by clausification #[12]): False
% 3.46/3.64  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------