TSTP Solution File: SYN986+1.001 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN986+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 02:13:33 EDT 2023
% Result : Theorem 3.58s 3.73s
% Output : Proof 3.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN986+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n004.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 19:30:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.58/3.73 SZS status Theorem for theBenchmark.p
% 3.58/3.73 SZS output start Proof for theBenchmark.p
% 3.58/3.73 Clause #0 (by assumption #[]): Eq (∀ (Y : Iota), r Y zero (succ Y)) True
% 3.58/3.73 Clause #1 (by assumption #[]): Eq (∀ (Y X Z Z1 : Iota), r Y X Z → r Z X Z1 → r Y (succ X) Z1) True
% 3.58/3.73 Clause #2 (by assumption #[]): Eq (Not (Exists fun Z1 => Exists fun Z0 => And (r zero zero Z1) (r zero Z1 Z0))) True
% 3.58/3.73 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (r a zero (succ a)) True
% 3.58/3.73 Clause #4 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (X Z Z1 : Iota), r a X Z → r Z X Z1 → r a (succ X) Z1) True
% 3.58/3.73 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (Z Z1 : Iota), r a a_1 Z → r Z a_1 Z1 → r a (succ a_1) Z1) True
% 3.58/3.73 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Z1 : Iota), r a a_1 a_2 → r a_2 a_1 Z1 → r a (succ a_1) Z1) True
% 3.58/3.73 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq (r a a_1 a_2 → r a_2 a_1 a_3 → r a (succ a_1) a_3) True
% 3.58/3.73 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r a a_1 a_2) False) (Eq (r a_2 a_1 a_3 → r a (succ a_1) a_3) True)
% 3.58/3.73 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r a a_1 a_2) False) (Or (Eq (r a_2 a_1 a_3) False) (Eq (r a (succ a_1) a_3) True))
% 3.58/3.73 Clause #10 (by superposition #[9, 3]): ∀ (a a_1 : Iota), Or (Eq (r (succ a) zero a_1) False) (Or (Eq (r a (succ zero) a_1) True) (Eq False True))
% 3.58/3.73 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (r (succ a) zero a_1) False) (Eq (r a (succ zero) a_1) True)
% 3.58/3.73 Clause #12 (by superposition #[11, 3]): ∀ (a : Iota), Or (Eq (r a (succ zero) (succ (succ a))) True) (Eq False True)
% 3.58/3.73 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (r a (succ zero) (succ (succ a))) True
% 3.58/3.73 Clause #15 (by clausification #[2]): Eq (Exists fun Z1 => Exists fun Z0 => And (r zero zero Z1) (r zero Z1 Z0)) False
% 3.58/3.73 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (Exists fun Z0 => And (r zero zero a) (r zero a Z0)) False
% 3.58/3.73 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (And (r zero zero a) (r zero a a_1)) False
% 3.58/3.73 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (r zero zero a) False) (Eq (r zero a a_1) False)
% 3.58/3.73 Clause #19 (by superposition #[18, 3]): ∀ (a : Iota), Or (Eq (r zero (succ zero) a) False) (Eq False True)
% 3.58/3.73 Clause #22 (by clausification #[19]): ∀ (a : Iota), Eq (r zero (succ zero) a) False
% 3.58/3.73 Clause #23 (by superposition #[22, 13]): Eq False True
% 3.58/3.73 Clause #24 (by clausification #[23]): False
% 3.58/3.73 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------