TSTP Solution File: SYN346+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 02:11:19 EDT 2023
% Result : Theorem 5.86s 6.04s
% Output : Proof 5.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : duper %s
% 0.10/0.32 % Computer : n008.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 20:08:02 EDT 2023
% 0.10/0.32 % CPUTime :
% 5.86/6.04 SZS status Theorem for theBenchmark.p
% 5.86/6.04 SZS output start Proof for theBenchmark.p
% 5.86/6.04 Clause #0 (by assumption #[]): Eq
% 5.86/6.04 (Not
% 5.86/6.04 (Iota →
% 5.86/6.04 ∀ (X2 : Iota),
% 5.86/6.04 Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2))))
% 5.86/6.04 True
% 5.86/6.04 Clause #1 (by clausification #[0]): Eq
% 5.86/6.04 (Iota →
% 5.86/6.04 ∀ (X2 : Iota),
% 5.86/6.04 Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #2 (by clausification #[1]): Iota →
% 5.86/6.04 Eq
% 5.86/6.04 (Not
% 5.86/6.04 (∀ (X2 : Iota),
% 5.86/6.04 Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2))))
% 5.86/6.04 True
% 5.86/6.04 Clause #3 (by clausification #[2]): Eq
% 5.86/6.04 (∀ (X2 : Iota),
% 5.86/6.04 Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (Not
% 5.86/6.04 (Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) Z1 →
% 5.86/6.04 big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2))))
% 5.86/6.04 True
% 5.86/6.04 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (Exists fun Y1 =>
% 5.86/6.04 Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) Z1 →
% 5.86/6.04 big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (Exists fun Y2 =>
% 5.86/6.04 ∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) Z1 →
% 5.86/6.04 big_f a_1 Z2 → Or (And (big_f a_1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (∀ (Z1 Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) Z1 →
% 5.86/6.04 big_f a_1 Z2 → Or (And (big_f a_1 Z1) (big_f a_2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (Not
% 5.86/6.04 (∀ (Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 5.86/6.04 big_f a_1 Z2 →
% 5.86/6.04 Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 5.86/6.04 (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2))))
% 5.86/6.04 True
% 5.86/6.04 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (∀ (Z2 : Iota),
% 5.86/6.04 big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 5.86/6.04 big_f a_1 Z2 →
% 5.86/6.04 Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 5.86/6.04 (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2)))
% 5.86/6.04 False
% 5.86/6.04 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (Not
% 5.86/6.04 (big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 5.86/6.04 big_f a_1 (skS.0 3 a a_1 a_2 a_3 a_4) →
% 5.86/6.04 Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 5.86/6.04 (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4)))))
% 5.86/6.04 True
% 5.86/6.04 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 5.86/6.04 big_f a_1 (skS.0 3 a a_1 a_2 a_3 a_4) →
% 5.86/6.04 Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 5.86/6.04 (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4))))
% 5.86/6.04 False
% 5.86/6.04 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.04 Eq
% 5.86/6.04 (big_f a (skS.0 3 a_1 a a_2 a_3 a_4) →
% 5.86/6.04 Or (And (big_f a (skS.0 2 a_1 a a_2 a_3)) (big_f a_2 (skS.0 2 a_1 a a_2 a_3)))
% 5.86/6.04 (And (big_f (skS.0 1 a_1) (skS.0 3 a_1 a a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a_1 a a_2 a_3 a_4))))
% 5.86/6.04 False
% 5.86/6.04 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (big_f a (skS.0 3 a_1 a a_2 a_3 a_4)) True
% 5.86/6.05 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.05 Eq
% 5.86/6.05 (Or (And (big_f a (skS.0 2 a_1 a a_2 a_3)) (big_f a_2 (skS.0 2 a_1 a a_2 a_3)))
% 5.86/6.05 (And (big_f (skS.0 1 a_1) (skS.0 3 a_1 a a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a_1 a a_2 a_3 a_4))))
% 5.86/6.05 False
% 5.86/6.05 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.05 Eq (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4))) False
% 5.86/6.05 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.86/6.05 Or (Eq (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) False) (Eq (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4)) False)
% 5.86/6.05 Clause #19 (by superposition #[18, 14]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (big_f a (skS.0 3 a_1 (skS.0 1 a_1) a a_2 a_3)) False) (Eq False True)
% 5.86/6.05 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 3 a_1 (skS.0 1 a_1) a a_2 a_3)) False
% 5.86/6.05 Clause #21 (by superposition #[20, 14]): Eq False True
% 5.86/6.05 Clause #22 (by clausification #[21]): False
% 5.86/6.05 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------