TSTP Solution File: SEV053^5 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEV053^5 : 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 : Thu Aug 31 19:24:08 EDT 2023

% Result   : Theorem 3.60s 3.77s
% Output   : Proof 3.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEV053^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n012.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   : Thu Aug 24 03:45:27 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.60/3.77  SZS status Theorem for theBenchmark.p
% 3.60/3.77  SZS output start Proof for theBenchmark.p
% 3.60/3.77  Clause #0 (by assumption #[]): Eq
% 3.60/3.77    (Not
% 3.60/3.77      (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X))) →
% 3.60/3.77        ∀ (Y : b), cL (cA Y) (cA (cF (cF Y)))))
% 3.60/3.77    True
% 3.60/3.77  Clause #1 (by clausification #[0]): Eq
% 3.60/3.77    (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X))) →
% 3.60/3.77      ∀ (Y : b), cL (cA Y) (cA (cF (cF Y))))
% 3.60/3.77    False
% 3.60/3.77  Clause #2 (by clausification #[1]): Eq (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X)))) True
% 3.60/3.77  Clause #3 (by clausification #[1]): Eq (∀ (Y : b), cL (cA Y) (cA (cF (cF Y)))) False
% 3.60/3.77  Clause #4 (by clausification #[2]): Eq (∀ (X : b), cL (cA X) (cA (cF X))) True
% 3.60/3.77  Clause #5 (by clausification #[2]): Eq (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) True
% 3.60/3.77  Clause #6 (by clausification #[4]): ∀ (a : b), Eq (cL (cA a) (cA (cF a))) True
% 3.60/3.77  Clause #7 (by clausification #[5]): ∀ (a_1 : a), Eq (∀ (Xy Xz : a), And (cL a_1 Xy) (cL Xy Xz) → cL a_1 Xz) True
% 3.60/3.77  Clause #8 (by clausification #[7]): ∀ (a_1 a_2 : a), Eq (∀ (Xz : a), And (cL a_1 a_2) (cL a_2 Xz) → cL a_1 Xz) True
% 3.60/3.77  Clause #9 (by clausification #[8]): ∀ (a_1 a_2 a : a), Eq (And (cL a_1 a_2) (cL a_2 a) → cL a_1 a) True
% 3.60/3.77  Clause #10 (by clausification #[9]): ∀ (a_1 a_2 a : a), Or (Eq (And (cL a_1 a_2) (cL a_2 a)) False) (Eq (cL a_1 a) True)
% 3.60/3.77  Clause #11 (by clausification #[10]): ∀ (a_1 a_2 a : a), Or (Eq (cL a_1 a_2) True) (Or (Eq (cL a_1 a) False) (Eq (cL a a_2) False))
% 3.60/3.77  Clause #12 (by superposition #[11, 6]): ∀ (a_1 : b) (a : a), Or (Eq (cL (cA a_1) a) True) (Or (Eq (cL (cA (cF a_1)) a) False) (Eq False True))
% 3.60/3.77  Clause #13 (by clausification #[3]): ∀ (a : b), Eq (Not (cL (cA (skS.0 0 a)) (cA (cF (cF (skS.0 0 a)))))) True
% 3.60/3.77  Clause #14 (by clausification #[13]): ∀ (a : b), Eq (cL (cA (skS.0 0 a)) (cA (cF (cF (skS.0 0 a))))) False
% 3.60/3.77  Clause #15 (by clausification #[12]): ∀ (a_1 : b) (a : a), Or (Eq (cL (cA a_1) a) True) (Eq (cL (cA (cF a_1)) a) False)
% 3.60/3.77  Clause #16 (by superposition #[15, 6]): ∀ (a : b), Or (Eq (cL (cA a) (cA (cF (cF a)))) True) (Eq False True)
% 3.60/3.77  Clause #17 (by clausification #[16]): ∀ (a : b), Eq (cL (cA a) (cA (cF (cF a)))) True
% 3.60/3.77  Clause #18 (by superposition #[17, 14]): Eq True False
% 3.60/3.77  Clause #21 (by clausification #[18]): False
% 3.60/3.77  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------