TSTP Solution File: NUN069+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 12:47:19 EDT 2023
% Result : Theorem 3.57s 3.82s
% Output : Proof 3.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n019.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 : Sun Aug 27 09:18:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.57/3.82 SZS status Theorem for theBenchmark.p
% 3.57/3.82 SZS output start Proof for theBenchmark.p
% 3.57/3.82 Clause #0 (by assumption #[]): Eq (Exists fun Y24 => ∀ (X19 : Iota), Or (And (Not (r1 X19)) (Ne X19 Y24)) (And (r1 X19) (Eq X19 Y24))) True
% 3.57/3.82 Clause #1 (by assumption #[]): Eq
% 3.57/3.82 (∀ (X11 : Iota),
% 3.57/3.82 Exists fun Y21 => ∀ (X12 : Iota), Or (And (Not (r2 X11 X12)) (Ne X12 Y21)) (And (r2 X11 X12) (Eq X12 Y21)))
% 3.57/3.82 True
% 3.57/3.82 Clause #11 (by assumption #[]): Eq (Not (Exists fun Y1 => And (Eq Y1 Y1) (Exists fun Y2 => And (r1 Y2) (r2 Y2 Y1)))) True
% 3.57/3.82 Clause #21 (by clausification #[11]): Eq (Exists fun Y1 => And (Eq Y1 Y1) (Exists fun Y2 => And (r1 Y2) (r2 Y2 Y1))) False
% 3.57/3.82 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (And (Eq a a) (Exists fun Y2 => And (r1 Y2) (r2 Y2 a))) False
% 3.57/3.82 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (Eq a a) False) (Eq (Exists fun Y2 => And (r1 Y2) (r2 Y2 a)) False)
% 3.57/3.82 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (Exists fun Y2 => And (r1 Y2) (r2 Y2 a)) False) (Ne a a)
% 3.57/3.82 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Ne a a) (Eq (And (r1 a_1) (r2 a_1 a)) False)
% 3.57/3.82 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Ne a a) (Or (Eq (r1 a_1) False) (Eq (r2 a_1 a) False))
% 3.57/3.82 Clause #27 (by eliminate resolved literals #[26]): ∀ (a a_1 : Iota), Or (Eq (r1 a) False) (Eq (r2 a a_1) False)
% 3.57/3.82 Clause #38 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (X19 : Iota), Or (And (Not (r1 X19)) (Ne X19 (skS.0 2 a))) (And (r1 X19) (Eq X19 (skS.0 2 a)))) True
% 3.57/3.82 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (Or (And (Not (r1 a)) (Ne a (skS.0 2 a_1))) (And (r1 a) (Eq a (skS.0 2 a_1)))) True
% 3.57/3.82 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Ne a (skS.0 2 a_1))) True) (Eq (And (r1 a) (Eq a (skS.0 2 a_1))) True)
% 3.57/3.82 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (And (r1 a) (Eq a (skS.0 2 a_1))) True) (Eq (Ne a (skS.0 2 a_1)) True)
% 3.57/3.82 Clause #44 (by clausification #[41]): ∀ (a a_1 : Iota), Or (Eq (Ne a (skS.0 2 a_1)) True) (Eq (r1 a) True)
% 3.57/3.82 Clause #47 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Ne a (skS.0 2 a_1))
% 3.57/3.82 Clause #48 (by destructive equality resolution #[47]): ∀ (a : Iota), Eq (r1 (skS.0 2 a)) True
% 3.57/3.82 Clause #49 (by superposition #[48, 27]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r2 (skS.0 2 a) a_1) False)
% 3.57/3.82 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 2 a) a_1) False
% 3.57/3.82 Clause #59 (by clausification #[1]): ∀ (a : Iota),
% 3.57/3.82 Eq (Exists fun Y21 => ∀ (X12 : Iota), Or (And (Not (r2 a X12)) (Ne X12 Y21)) (And (r2 a X12) (Eq X12 Y21))) True
% 3.57/3.82 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota),
% 3.57/3.82 Eq (∀ (X12 : Iota), Or (And (Not (r2 a X12)) (Ne X12 (skS.0 3 a a_1))) (And (r2 a X12) (Eq X12 (skS.0 3 a a_1)))) True
% 3.57/3.82 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.82 Eq (Or (And (Not (r2 a a_1)) (Ne a_1 (skS.0 3 a a_2))) (And (r2 a a_1) (Eq a_1 (skS.0 3 a a_2)))) True
% 3.57/3.82 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.82 Or (Eq (And (Not (r2 a a_1)) (Ne a_1 (skS.0 3 a a_2))) True) (Eq (And (r2 a a_1) (Eq a_1 (skS.0 3 a a_2))) True)
% 3.57/3.82 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (r2 a a_1) (Eq a_1 (skS.0 3 a a_2))) True) (Eq (Ne a_1 (skS.0 3 a a_2)) True)
% 3.57/3.82 Clause #66 (by clausification #[63]): ∀ (a a_1 a_2 : Iota), Or (Eq (Ne a (skS.0 3 a_1 a_2)) True) (Eq (r2 a_1 a) True)
% 3.57/3.82 Clause #70 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) True) (Ne a_1 (skS.0 3 a a_2))
% 3.57/3.82 Clause #71 (by destructive equality resolution #[70]): ∀ (a a_1 : Iota), Eq (r2 a (skS.0 3 a a_1)) True
% 3.57/3.82 Clause #72 (by superposition #[71, 50]): Eq True False
% 3.57/3.82 Clause #74 (by clausification #[72]): False
% 3.57/3.82 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------