TSTP Solution File: NUM754^1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM754^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : Thu Aug 31 10:57:30 EDT 2023
% Result : Theorem 3.96s 4.14s
% Output : Proof 3.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM754^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n004.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 : Fri Aug 25 12:13:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.96/4.14 SZS status Theorem for theBenchmark.p
% 3.96/4.14 SZS output start Proof for theBenchmark.p
% 3.96/4.14 Clause #0 (by assumption #[]): Eq (eq x y) True
% 3.96/4.14 Clause #1 (by assumption #[]): Eq (moref z u) True
% 3.96/4.14 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True
% 3.96/4.14 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), eq Xx Xy → moref Xz Xu → moref (pf Xx Xz) (pf Xy Xu)) True
% 3.96/4.14 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq (pf Xx Xy) (pf Xy Xx)) True
% 3.96/4.14 Clause #5 (by assumption #[]): Eq (Not (moref (pf z x) (pf u y))) True
% 3.96/4.14 Clause #6 (by clausification #[5]): Eq (moref (pf z x) (pf u y)) False
% 3.96/4.14 Clause #7 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy : frac), eq (pf a Xy) (pf Xy a)) True
% 3.96/4.14 Clause #8 (by clausification #[7]): ∀ (a a_1 : frac), Eq (eq (pf a a_1) (pf a_1 a)) True
% 3.96/4.14 Clause #9 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True
% 3.96/4.14 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True
% 3.96/4.14 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), moref a a_1 → eq a a_2 → eq a_1 Xu → moref a_2 Xu) True
% 3.96/4.14 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : frac), Eq (moref a a_1 → eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True
% 3.96/4.14 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True)
% 3.96/4.14 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → moref a_2 a_3) True))
% 3.96/4.14 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : frac),
% 3.96/4.14 Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (moref a_2 a_3) True)))
% 3.96/4.14 Clause #17 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), eq a Xy → moref Xz Xu → moref (pf a Xz) (pf Xy Xu)) True
% 3.96/4.14 Clause #18 (by clausification #[17]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), eq a a_1 → moref Xz Xu → moref (pf a Xz) (pf a_1 Xu)) True
% 3.96/4.14 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), eq a a_1 → moref a_2 Xu → moref (pf a a_2) (pf a_1 Xu)) True
% 3.96/4.14 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : frac), Eq (eq a a_1 → moref a_2 a_3 → moref (pf a a_2) (pf a_1 a_3)) True
% 3.96/4.14 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq a a_1) False) (Eq (moref a_2 a_3 → moref (pf a a_2) (pf a_1 a_3)) True)
% 3.96/4.14 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 : frac),
% 3.96/4.14 Or (Eq (eq a a_1) False) (Or (Eq (moref a_2 a_3) False) (Eq (moref (pf a a_2) (pf a_1 a_3)) True))
% 3.96/4.14 Clause #23 (by superposition #[22, 0]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Or (Eq (moref (pf x a) (pf y a_1)) True) (Eq False True))
% 3.96/4.14 Clause #25 (by clausification #[23]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (moref (pf x a) (pf y a_1)) True)
% 3.96/4.14 Clause #26 (by superposition #[25, 1]): Or (Eq (moref (pf x z) (pf y u)) True) (Eq False True)
% 3.96/4.14 Clause #27 (by clausification #[26]): Eq (moref (pf x z) (pf y u)) True
% 3.96/4.14 Clause #28 (by superposition #[27, 15]): ∀ (a a_1 : frac),
% 3.96/4.14 Or (Eq True False) (Or (Eq (eq (pf x z) a) False) (Or (Eq (eq (pf y u) a_1) False) (Eq (moref a a_1) True)))
% 3.96/4.14 Clause #50 (by clausification #[28]): ∀ (a a_1 : frac), Or (Eq (eq (pf x z) a) False) (Or (Eq (eq (pf y u) a_1) False) (Eq (moref a a_1) True))
% 3.96/4.14 Clause #51 (by superposition #[50, 8]): ∀ (a : frac), Or (Eq (eq (pf y u) a) False) (Or (Eq (moref (pf z x) a) True) (Eq False True))
% 3.96/4.14 Clause #52 (by clausification #[51]): ∀ (a : frac), Or (Eq (eq (pf y u) a) False) (Eq (moref (pf z x) a) True)
% 3.96/4.14 Clause #53 (by superposition #[52, 8]): Or (Eq (moref (pf z x) (pf u y)) True) (Eq False True)
% 3.96/4.14 Clause #54 (by clausification #[53]): Eq (moref (pf z x) (pf u y)) True
% 3.96/4.14 Clause #55 (by superposition #[54, 6]): Eq True False
% 3.96/4.14 Clause #61 (by clausification #[55]): False
% 3.96/4.14 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------