TSTP Solution File: SYO506^1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO506^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 04:22:54 EDT 2023
% Result : Theorem 3.31s 3.53s
% Output : Proof 3.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO506^1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.15 % Command : duper %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 02:46:56 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.31/3.53 SZS status Theorem for theBenchmark.p
% 3.31/3.53 SZS output start Proof for theBenchmark.p
% 3.31/3.53 Clause #0 (by assumption #[]): Eq
% 3.31/3.53 (Not
% 3.31/3.53 (Or (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X)))
% 3.31/3.53 (Not (∀ (X Y : Iota), Eq (c False X Y) Y))))
% 3.31/3.53 True
% 3.31/3.53 Clause #1 (by clausification #[0]): Eq
% 3.31/3.53 (Or (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X)))
% 3.31/3.53 (Not (∀ (X Y : Iota), Eq (c False X Y) Y)))
% 3.31/3.53 False
% 3.31/3.53 Clause #2 (by clausification #[1]): Eq (Not (∀ (X Y : Iota), Eq (c False X Y) Y)) False
% 3.31/3.53 Clause #3 (by clausification #[1]): Eq (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X))) False
% 3.31/3.53 Clause #4 (by clausification #[2]): Eq (∀ (X Y : Iota), Eq (c False X Y) Y) True
% 3.31/3.53 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c False a Y) Y) True
% 3.31/3.53 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Eq (c False a a_1) a_1) True
% 3.31/3.53 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (c False a a_1) a_1
% 3.31/3.53 Clause #8 (by clausification #[3]): Eq (Not (∀ (X Y : Iota), Eq (c True X Y) X)) False
% 3.31/3.53 Clause #9 (by clausification #[3]): Eq (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) False
% 3.31/3.53 Clause #10 (by clausification #[8]): Eq (∀ (X Y : Iota), Eq (c True X Y) X) True
% 3.31/3.53 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c True a Y) a) True
% 3.31/3.53 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Eq (c True a a_1) a) True
% 3.31/3.53 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (c True a a_1) a
% 3.31/3.53 Clause #14 (by clausification #[9]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Eq (c (Eq (skS.0 0 a) Y) (skS.0 0 a) Y) Y)) True
% 3.31/3.53 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c (Eq (skS.0 0 a) Y) (skS.0 0 a) Y) Y) False
% 3.31/3.53 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Not (Eq (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1))) True
% 3.31/3.53 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Eq (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False
% 3.31/3.53 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Ne (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 3.31/3.53 Clause #19 (by identity loobHoist #[18]): ∀ (a a_1 : Iota),
% 3.31/3.53 Or (Ne (c True (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.31/3.53 Clause #20 (by identity boolHoist #[18]): ∀ (a a_1 : Iota),
% 3.31/3.53 Or (Ne (c False (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True)
% 3.31/3.53 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Ne (c True (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Ne (skS.0 0 a) (skS.0 1 a a_1))
% 3.31/3.53 Clause #22 (by forward demodulation #[21, 13]): ∀ (a a_1 : Iota), Or (Ne (skS.0 0 a) (skS.0 1 a a_1)) (Ne (skS.0 0 a) (skS.0 1 a a_1))
% 3.31/3.53 Clause #23 (by eliminate duplicate literals #[22]): ∀ (a a_1 : Iota), Ne (skS.0 0 a) (skS.0 1 a a_1)
% 3.31/3.53 Clause #24 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Ne (c False (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (skS.0 0 a) (skS.0 1 a a_1))
% 3.31/3.53 Clause #25 (by forward demodulation #[24, 7]): ∀ (a a_1 : Iota), Or (Ne (skS.0 1 a a_1) (skS.0 1 a a_1)) (Eq (skS.0 0 a) (skS.0 1 a a_1))
% 3.31/3.53 Clause #26 (by eliminate resolved literals #[25]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1)
% 3.31/3.53 Clause #27 (by forward contextual literal cutting #[26, 23]): False
% 3.31/3.53 SZS output end Proof for theBenchmark.p
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