TSTP Solution File: SYN333+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN333+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 02:11:13 EDT 2023
% Result : Theorem 3.53s 3.71s
% Output : Proof 3.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN333+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 18:44:11 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.53/3.71 SZS status Theorem for theBenchmark.p
% 3.53/3.71 SZS output start Proof for theBenchmark.p
% 3.53/3.71 Clause #0 (by assumption #[]): Eq
% 3.53/3.71 (Not
% 3.53/3.71 (Exists fun X =>
% 3.53/3.71 Exists fun Y =>
% 3.53/3.71 ∀ (Z : Iota),
% 3.53/3.71 big_f X Y → And (And (big_f Y Z) (big_f Z Z)) (And (big_f X Y) (big_g X Y) → And (big_g X Z) (big_g Z Z))))
% 3.53/3.71 True
% 3.53/3.71 Clause #1 (by clausification #[0]): Eq
% 3.53/3.71 (Exists fun X =>
% 3.53/3.71 Exists fun Y =>
% 3.53/3.71 ∀ (Z : Iota),
% 3.53/3.71 big_f X Y → And (And (big_f Y Z) (big_f Z Z)) (And (big_f X Y) (big_g X Y) → And (big_g X Z) (big_g Z Z)))
% 3.53/3.71 False
% 3.53/3.71 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.53/3.71 Eq
% 3.53/3.71 (Exists fun Y =>
% 3.53/3.71 ∀ (Z : Iota),
% 3.53/3.71 big_f a Y → And (And (big_f Y Z) (big_f Z Z)) (And (big_f a Y) (big_g a Y) → And (big_g a Z) (big_g Z Z)))
% 3.53/3.71 False
% 3.53/3.71 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.53/3.71 Eq
% 3.53/3.71 (∀ (Z : Iota),
% 3.53/3.71 big_f a a_1 → And (And (big_f a_1 Z) (big_f Z Z)) (And (big_f a a_1) (big_g a a_1) → And (big_g a Z) (big_g Z Z)))
% 3.53/3.71 False
% 3.53/3.71 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Eq
% 3.53/3.71 (Not
% 3.53/3.71 (big_f a a_1 →
% 3.53/3.71 And (And (big_f a_1 (skS.0 0 a a_1 a_2)) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)))
% 3.53/3.71 (And (big_f a a_1) (big_g a a_1) →
% 3.53/3.71 And (big_g a (skS.0 0 a a_1 a_2)) (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)))))
% 3.53/3.71 True
% 3.53/3.71 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Eq
% 3.53/3.71 (big_f a a_1 →
% 3.53/3.71 And (And (big_f a_1 (skS.0 0 a a_1 a_2)) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)))
% 3.53/3.71 (And (big_f a a_1) (big_g a a_1) →
% 3.53/3.71 And (big_g a (skS.0 0 a a_1 a_2)) (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2))))
% 3.53/3.71 False
% 3.53/3.71 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (big_f a a_1) True
% 3.53/3.71 Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Eq
% 3.53/3.71 (And (And (big_f a (skS.0 0 a_1 a a_2)) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)))
% 3.53/3.71 (And (big_f a_1 a) (big_g a_1 a) →
% 3.53/3.71 And (big_g a_1 (skS.0 0 a_1 a a_2)) (big_g (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2))))
% 3.53/3.71 False
% 3.53/3.71 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Or (Eq (And (big_f a (skS.0 0 a_1 a a_2)) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2))) False)
% 3.53/3.71 (Eq
% 3.53/3.71 (And (big_f a_1 a) (big_g a_1 a) →
% 3.53/3.71 And (big_g a_1 (skS.0 0 a_1 a a_2)) (big_g (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)))
% 3.53/3.71 False)
% 3.53/3.71 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Or
% 3.53/3.71 (Eq
% 3.53/3.71 (And (big_f a a_1) (big_g a a_1) →
% 3.53/3.71 And (big_g a (skS.0 0 a a_1 a_2)) (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)))
% 3.53/3.71 False)
% 3.53/3.71 (Or (Eq (big_f a_1 (skS.0 0 a a_1 a_2)) False) (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False))
% 3.53/3.71 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Or (Eq (big_f a (skS.0 0 a_1 a a_2)) False)
% 3.53/3.71 (Or (Eq (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) False) (Eq (And (big_f a_1 a) (big_g a_1 a)) True))
% 3.53/3.71 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.71 Or (Eq (big_f a (skS.0 0 a_1 a a_2)) False)
% 3.53/3.71 (Or (Eq (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) False)
% 3.53/3.72 (Eq (And (big_g a_1 (skS.0 0 a_1 a a_2)) (big_g (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2))) False))
% 3.53/3.72 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq (big_f a (skS.0 0 a_1 a a_2)) False)
% 3.53/3.72 (Or (Eq (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) False) (Eq (big_g a_1 a) True))
% 3.53/3.72 Clause #14 (by forward demodulation #[12, 6]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq True False) (Or (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False) (Eq (big_g a a_1) True))
% 3.53/3.72 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False) (Eq (big_g a a_1) True)
% 3.53/3.72 Clause #16 (by superposition #[15, 6]): ∀ (a a_1 : Iota), Or (Eq (big_g a a_1) True) (Eq False True)
% 3.53/3.72 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (big_g a a_1) True
% 3.53/3.72 Clause #21 (by clausification #[11]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq (big_f a (skS.0 0 a_1 a a_2)) False)
% 3.53/3.72 (Or (Eq (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) False)
% 3.53/3.72 (Or (Eq (big_g a_1 (skS.0 0 a_1 a a_2)) False) (Eq (big_g (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) False)))
% 3.53/3.72 Clause #22 (by forward demodulation #[21, 6]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq True False)
% 3.53/3.72 (Or (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)
% 3.53/3.72 (Or (Eq (big_g a (skS.0 0 a a_1 a_2)) False) (Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)))
% 3.53/3.72 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)
% 3.53/3.72 (Or (Eq (big_g a (skS.0 0 a a_1 a_2)) False) (Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False))
% 3.53/3.72 Clause #24 (by forward demodulation #[23, 6]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq True False)
% 3.53/3.72 (Or (Eq (big_g a (skS.0 0 a a_1 a_2)) False) (Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False))
% 3.53/3.72 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 3.53/3.72 Or (Eq (big_g a (skS.0 0 a a_1 a_2)) False) (Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)
% 3.53/3.72 Clause #26 (by forward demodulation #[25, 17]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)
% 3.53/3.72 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (big_g (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False
% 3.53/3.72 Clause #28 (by superposition #[27, 17]): Eq False True
% 3.53/3.72 Clause #29 (by clausification #[28]): False
% 3.53/3.72 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------