TSTP Solution File: SYN338+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN338+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 02:11:16 EDT 2023
% Result : Theorem 3.35s 3.53s
% Output : Proof 3.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN338+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:36:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.35/3.53 SZS status Theorem for theBenchmark.p
% 3.35/3.53 SZS output start Proof for theBenchmark.p
% 3.35/3.53 Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y : Iota), Exists fun Z => big_f X Y → big_f Z X → big_f Y Y)) True
% 3.35/3.53 Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y : Iota), Exists fun Z => big_f X Y → big_f Z X → big_f Y Y) False
% 3.35/3.53 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Exists fun Z => big_f a Y → big_f Z a → big_f Y Y) False
% 3.35/3.53 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.35/3.53 Eq (Not (Exists fun Z => big_f a (skS.0 0 a a_1) → big_f Z a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1))) True
% 3.35/3.53 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Exists fun Z => big_f a (skS.0 0 a a_1) → big_f Z a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False
% 3.35/3.53 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), Eq (big_f a (skS.0 0 a a_1) → big_f a_2 a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False
% 3.35/3.53 Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (big_f a a_1 → big_f (skS.0 0 a_1 a_2) (skS.0 0 a_1 a_2)) False
% 3.35/3.53 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (big_f a a_1) True
% 3.35/3.53 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False
% 3.35/3.53 Clause #10 (by superposition #[9, 8]): Eq False True
% 3.35/3.53 Clause #11 (by clausification #[10]): False
% 3.35/3.53 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------