TSTP Solution File: KLE058+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 : Thu Aug 31 05:28:29 EDT 2023
% Result : Theorem 3.67s 3.90s
% Output : Proof 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:14:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.67/3.90 SZS status Theorem for theBenchmark.p
% 3.67/3.90 SZS output start Proof for theBenchmark.p
% 3.67/3.90 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 3.67/3.90 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A one) A) True
% 3.67/3.90 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition X0 (multiplication (domain X0) X0)) (multiplication (domain X0) X0)) True
% 3.67/3.90 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (domain X0) one) one) True
% 3.67/3.90 Clause #17 (by assumption #[]): Eq (Not (Eq (domain one) one)) True
% 3.67/3.90 Clause #19 (by clausification #[17]): Eq (Eq (domain one) one) False
% 3.67/3.90 Clause #20 (by clausification #[19]): Ne (domain one) one
% 3.67/3.90 Clause #23 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (multiplication a one) a) True
% 3.67/3.90 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (multiplication a one) a
% 3.67/3.90 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 3.67/3.90 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 3.67/3.90 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 3.67/3.90 Clause #96 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (domain a) one) one) True
% 3.67/3.90 Clause #97 (by clausification #[96]): ∀ (a : Iota), Eq (addition (domain a) one) one
% 3.67/3.90 Clause #99 (by superposition #[97, 29]): ∀ (a : Iota), Eq (addition one (domain a)) one
% 3.67/3.90 Clause #147 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)) True
% 3.67/3.90 Clause #148 (by clausification #[147]): ∀ (a : Iota), Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)
% 3.67/3.90 Clause #153 (by superposition #[148, 24]): Eq (addition one (domain one)) (domain one)
% 3.67/3.90 Clause #156 (by superposition #[153, 99]): Eq (domain one) one
% 3.67/3.90 Clause #160 (by forward contextual literal cutting #[156, 20]): False
% 3.67/3.90 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------