TSTP Solution File: SYN049+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n028.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 02:10:18 EDT 2023

% Result   : Theorem 3.30s 3.57s
% Output   : Proof 3.30s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n028.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 21:33:52 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.30/3.57  SZS status Theorem for theBenchmark.p
% 3.30/3.57  SZS output start Proof for theBenchmark.p
% 3.30/3.57  Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y Z : Iota), (big_p Y → big_q Z) → big_p X → big_q X)) True
% 3.30/3.57  Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y Z : Iota), (big_p Y → big_q Z) → big_p X → big_q X) False
% 3.30/3.57  Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), (big_p Y → big_q Z) → big_p a → big_q a) False
% 3.30/3.57  Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), Eq (Not (∀ (Z : Iota), (big_p (skS.0 0 a a_1) → big_q Z) → big_p a → big_q a)) True
% 3.30/3.57  Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), (big_p (skS.0 0 a a_1) → big_q Z) → big_p a → big_q a) False
% 3.30/3.57  Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), Eq (Not ((big_p (skS.0 0 a a_1) → big_q (skS.0 1 a a_1 a_2)) → big_p a → big_q a)) True
% 3.30/3.57  Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq ((big_p (skS.0 0 a a_1) → big_q (skS.0 1 a a_1 a_2)) → big_p a → big_q a) False
% 3.30/3.57  Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Eq (big_p (skS.0 0 a a_1) → big_q (skS.0 1 a a_1 a_2)) True
% 3.30/3.57  Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (big_p a → big_q a) False
% 3.30/3.57  Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_p (skS.0 0 a a_1)) False) (Eq (big_q (skS.0 1 a a_1 a_2)) True)
% 3.30/3.57  Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (big_p a) True
% 3.30/3.57  Clause #11 (by clausification #[8]): ∀ (a : Iota), Eq (big_q a) False
% 3.30/3.57  Clause #12 (by backward demodulation #[10, 9]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (big_q (skS.0 1 a a_1 a_2)) True)
% 3.30/3.57  Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Eq (big_q (skS.0 1 a a_1 a_2)) True
% 3.30/3.57  Clause #14 (by superposition #[13, 11]): Eq True False
% 3.30/3.57  Clause #15 (by clausification #[14]): False
% 3.30/3.57  SZS output end Proof for theBenchmark.p
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