TSTP Solution File: SYN053+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 02:10:20 EDT 2023
% Result : Theorem 3.67s 3.84s
% Output : Proof 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 17:25:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.67/3.84 SZS status Theorem for theBenchmark.p
% 3.67/3.84 SZS output start Proof for theBenchmark.p
% 3.67/3.84 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (X : Iota), Or p (big_f X)) (Or p (∀ (X1 : Iota), big_f X1)))) True
% 3.67/3.84 Clause #1 (by clausification #[0]): Eq (Iff (∀ (X : Iota), Or p (big_f X)) (Or p (∀ (X1 : Iota), big_f X1))) False
% 3.67/3.84 Clause #2 (by clausification #[1]): Or (Eq (∀ (X : Iota), Or p (big_f X)) False) (Eq (Or p (∀ (X1 : Iota), big_f X1)) False)
% 3.67/3.84 Clause #3 (by clausification #[1]): Or (Eq (∀ (X : Iota), Or p (big_f X)) True) (Eq (Or p (∀ (X1 : Iota), big_f X1)) True)
% 3.67/3.84 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Or p (∀ (X1 : Iota), big_f X1)) False) (Eq (Not (Or p (big_f (skS.0 0 a)))) True)
% 3.67/3.84 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (Or p (big_f (skS.0 0 a)))) True) (Eq (∀ (X1 : Iota), big_f X1) False)
% 3.67/3.84 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (Or p (big_f (skS.0 0 a)))) True) (Eq p False)
% 3.67/3.84 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (∀ (X1 : Iota), big_f X1) False) (Eq (Or p (big_f (skS.0 0 a))) False)
% 3.67/3.84 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (Or p (big_f (skS.0 0 a))) False) (Eq (Not (big_f (skS.0 1 a_1))) True)
% 3.67/3.84 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (Not (big_f (skS.0 1 a))) True) (Eq (big_f (skS.0 0 a_1)) False)
% 3.67/3.84 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a)) False) (Eq (big_f (skS.0 1 a_1)) False)
% 3.67/3.84 Clause #13 (by clausification #[3]): ∀ (a : Iota), Or (Eq (Or p (∀ (X1 : Iota), big_f X1)) True) (Eq (Or p (big_f a)) True)
% 3.67/3.84 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (Or p (big_f a)) True) (Or (Eq p True) (Eq (∀ (X1 : Iota), big_f X1) True))
% 3.67/3.84 Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq p True) (Or (Eq (∀ (X1 : Iota), big_f X1) True) (Or (Eq p True) (Eq (big_f a) True)))
% 3.67/3.84 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq p True) (Or (Eq p True) (Or (Eq (big_f a) True) (Eq (big_f a_1) True)))
% 3.67/3.84 Clause #17 (by eliminate duplicate literals #[16]): ∀ (a a_1 : Iota), Or (Eq p True) (Or (Eq (big_f a) True) (Eq (big_f a_1) True))
% 3.67/3.84 Clause #19 (by equality factoring #[17]): ∀ (a : Iota), Or (Eq p True) (Or (Ne True True) (Eq (big_f a) True))
% 3.67/3.84 Clause #20 (by clausification #[19]): ∀ (a : Iota), Or (Eq p True) (Or (Eq (big_f a) True) (Or (Eq True False) (Eq True False)))
% 3.67/3.84 Clause #22 (by clausification #[20]): ∀ (a : Iota), Or (Eq p True) (Or (Eq (big_f a) True) (Eq True False))
% 3.67/3.84 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq p True) (Eq (big_f a) True)
% 3.67/3.84 Clause #25 (by clausification #[6]): ∀ (a : Iota), Or (Eq p False) (Eq (Or p (big_f (skS.0 0 a))) False)
% 3.67/3.84 Clause #27 (by clausification #[25]): Or (Eq p False) (Eq p False)
% 3.67/3.84 Clause #28 (by eliminate duplicate literals #[27]): Eq p False
% 3.67/3.84 Clause #30 (by backward demodulation #[28, 23]): ∀ (a : Iota), Or (Eq False True) (Eq (big_f a) True)
% 3.67/3.84 Clause #32 (by clausification #[30]): ∀ (a : Iota), Eq (big_f a) True
% 3.67/3.84 Clause #33 (by superposition #[32, 11]): ∀ (a : Iota), Or (Eq True False) (Eq (big_f (skS.0 1 a)) False)
% 3.67/3.84 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (big_f (skS.0 1 a)) False
% 3.67/3.84 Clause #35 (by superposition #[34, 32]): Eq False True
% 3.67/3.84 Clause #36 (by clausification #[35]): False
% 3.67/3.84 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------