TSTP Solution File: SYN395+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN395+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 02:11:37 EDT 2023
% Result : Theorem 3.33s 3.57s
% Output : Proof 3.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN395+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n017.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 16:42:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.33/3.57 SZS status Theorem for theBenchmark.p
% 3.33/3.57 SZS output start Proof for theBenchmark.p
% 3.33/3.57 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), f X → g X) → (Exists fun Y => f Y) → Exists fun Z => g Z)) True
% 3.33/3.57 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), f X → g X) → Exists f → Exists g)) True
% 3.33/3.57 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), f X → g X) → Exists f → Exists g) False
% 3.33/3.57 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), f X → g X) True
% 3.33/3.57 Clause #4 (by clausification #[2]): Eq (Exists f → Exists g) False
% 3.33/3.57 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (f a → g a) True
% 3.33/3.57 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (f a) False) (Eq (g a) True)
% 3.33/3.57 Clause #7 (by clausification #[4]): Eq (Exists f) True
% 3.33/3.57 Clause #8 (by clausification #[4]): Eq (Exists g) False
% 3.33/3.57 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (f (skS.0 0 a)) True
% 3.33/3.57 Clause #10 (by superposition #[9, 6]): ∀ (a : Iota), Or (Eq True False) (Eq (g (skS.0 0 a)) True)
% 3.33/3.57 Clause #11 (by clausification #[8]): ∀ (a : Iota), Eq (g a) False
% 3.33/3.57 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (g (skS.0 0 a)) True
% 3.33/3.57 Clause #13 (by superposition #[12, 11]): Eq True False
% 3.33/3.57 Clause #14 (by clausification #[13]): False
% 3.33/3.57 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------