TSTP Solution File: SYN336+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN336+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 02:11:15 EDT 2023
% Result : Theorem 3.54s 3.72s
% Output : Proof 3.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN336+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 19:47:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.54/3.72 SZS status Theorem for theBenchmark.p
% 3.54/3.72 SZS output start Proof for theBenchmark.p
% 3.54/3.72 Clause #0 (by assumption #[]): Eq
% 3.54/3.72 (Not
% 3.54/3.72 (∀ (X : Iota),
% 3.54/3.72 Exists fun Y1 => Exists fun Y2 => ∀ (Z : Iota), big_f X Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 X → big_f Z Y2))
% 3.54/3.72 True
% 3.54/3.72 Clause #1 (by clausification #[0]): Eq
% 3.54/3.72 (∀ (X : Iota),
% 3.54/3.72 Exists fun Y1 => Exists fun Y2 => ∀ (Z : Iota), big_f X Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 X → big_f Z Y2)
% 3.54/3.72 False
% 3.54/3.72 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (Not
% 3.54/3.72 (Exists fun Y1 =>
% 3.54/3.72 Exists fun Y2 =>
% 3.54/3.72 ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 (skS.0 0 a) → big_f Z Y2))
% 3.54/3.72 True
% 3.54/3.72 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (Exists fun Y1 =>
% 3.54/3.72 Exists fun Y2 => ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 (skS.0 0 a) → big_f Z Y2)
% 3.54/3.72 False
% 3.54/3.72 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (Exists fun Y2 => ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f a_1 Z → big_f Y2 Z → big_f a_1 (skS.0 0 a) → big_f Z Y2)
% 3.54/3.72 False
% 3.54/3.72 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.54/3.72 Eq (∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f a_1 Z → big_f a_2 Z → big_f a_1 (skS.0 0 a) → big_f Z a_2) False
% 3.54/3.72 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (Not
% 3.54/3.72 (big_f (skS.0 0 a) (skS.0 1 a a_1 a_2 a_3) →
% 3.54/3.72 big_f a_1 (skS.0 1 a a_1 a_2 a_3) →
% 3.54/3.72 big_f a_2 (skS.0 1 a a_1 a_2 a_3) → big_f a_1 (skS.0 0 a) → big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 3.54/3.72 True
% 3.54/3.72 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (big_f (skS.0 0 a) (skS.0 1 a a_1 a_2 a_3) →
% 3.54/3.72 big_f a_1 (skS.0 1 a a_1 a_2 a_3) →
% 3.54/3.72 big_f a_2 (skS.0 1 a a_1 a_2 a_3) → big_f a_1 (skS.0 0 a) → big_f (skS.0 1 a a_1 a_2 a_3) a_2)
% 3.54/3.72 False
% 3.54/3.72 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.54/3.72 Eq
% 3.54/3.72 (big_f a (skS.0 1 a_1 a a_2 a_3) →
% 3.54/3.72 big_f a_2 (skS.0 1 a_1 a a_2 a_3) → big_f a (skS.0 0 a_1) → big_f (skS.0 1 a_1 a a_2 a_3) a_2)
% 3.54/3.72 False
% 3.54/3.72 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.54/3.72 Eq (big_f a (skS.0 1 a_1 a_2 a a_3) → big_f a_2 (skS.0 0 a_1) → big_f (skS.0 1 a_1 a_2 a a_3) a) False
% 3.54/3.72 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a_1) → big_f (skS.0 1 a_1 a a_2 a_3) a_2) False
% 3.54/3.72 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (big_f a (skS.0 0 a_1)) True
% 3.54/3.72 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) False
% 3.54/3.72 Clause #16 (by superposition #[15, 14]): Eq False True
% 3.54/3.72 Clause #17 (by clausification #[16]): False
% 3.54/3.72 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------