TSTP Solution File: SYO102^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO102^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 04:21:30 EDT 2023
% Result : Theorem 3.36s 3.69s
% Output : Proof 3.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO102^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 04:44:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.36/3.69 SZS status Theorem for theBenchmark.p
% 3.36/3.69 SZS output start Proof for theBenchmark.p
% 3.36/3.69 Clause #0 (by assumption #[]): Eq
% 3.36/3.69 (Not
% 3.36/3.69 (And (∀ (Xx : Iota), cP Xx Xx) (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xz Xy) → cP Xx Xz) →
% 3.36/3.69 ∀ (Xu Xv Xw : Iota), And (cP Xu Xv) (cP Xv Xw) → cP Xu Xw))
% 3.36/3.69 True
% 3.36/3.69 Clause #1 (by clausification #[0]): Eq
% 3.36/3.69 (And (∀ (Xx : Iota), cP Xx Xx) (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xz Xy) → cP Xx Xz) →
% 3.36/3.69 ∀ (Xu Xv Xw : Iota), And (cP Xu Xv) (cP Xv Xw) → cP Xu Xw)
% 3.36/3.69 False
% 3.36/3.69 Clause #2 (by clausification #[1]): Eq (And (∀ (Xx : Iota), cP Xx Xx) (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xz Xy) → cP Xx Xz)) True
% 3.36/3.69 Clause #3 (by clausification #[1]): Eq (∀ (Xu Xv Xw : Iota), And (cP Xu Xv) (cP Xv Xw) → cP Xu Xw) False
% 3.36/3.69 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xz Xy) → cP Xx Xz) True
% 3.36/3.69 Clause #5 (by clausification #[2]): Eq (∀ (Xx : Iota), cP Xx Xx) True
% 3.36/3.69 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), And (cP a Xy) (cP Xz Xy) → cP a Xz) True
% 3.36/3.69 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), And (cP a a_1) (cP Xz a_1) → cP a Xz) True
% 3.36/3.69 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (And (cP a a_1) (cP a_2 a_1) → cP a a_2) True
% 3.36/3.69 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (cP a a_1) (cP a_2 a_1)) False) (Eq (cP a a_2) True)
% 3.36/3.69 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cP a a_2) False) (Eq (cP a_1 a_2) False))
% 3.36/3.69 Clause #11 (by clausification #[5]): ∀ (a : Iota), Eq (cP a a) True
% 3.36/3.69 Clause #12 (by superposition #[11, 10]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) True) (Or (Eq True False) (Eq (cP a_1 a) False))
% 3.36/3.69 Clause #13 (by clausification #[3]): ∀ (a : Iota), Eq (Not (∀ (Xv Xw : Iota), And (cP (skS.0 0 a) Xv) (cP Xv Xw) → cP (skS.0 0 a) Xw)) True
% 3.36/3.69 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (Xv Xw : Iota), And (cP (skS.0 0 a) Xv) (cP Xv Xw) → cP (skS.0 0 a) Xw) False
% 3.36/3.69 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 3.36/3.69 Eq (Not (∀ (Xw : Iota), And (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) Xw) → cP (skS.0 0 a) Xw)) True
% 3.36/3.69 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.36/3.69 Eq (∀ (Xw : Iota), And (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) Xw) → cP (skS.0 0 a) Xw) False
% 3.36/3.69 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 3.36/3.69 Eq
% 3.36/3.69 (Not
% 3.36/3.69 (And (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 3.36/3.69 cP (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.36/3.69 True
% 3.36/3.69 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.36/3.69 Eq
% 3.36/3.69 (And (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) → cP (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.36/3.69 False
% 3.36/3.69 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (And (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 3.36/3.69 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (cP (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 3.36/3.69 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), Eq (cP (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 3.36/3.69 Clause #22 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (cP (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.36/3.69 Clause #24 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) True) (Eq (cP a_1 a) False)
% 3.36/3.69 Clause #25 (by superposition #[24, 21]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq False True)
% 3.36/3.69 Clause #27 (by superposition #[22, 10]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a) a_1) True) (Or (Eq True False) (Eq (cP a_1 (skS.0 1 a a_2)) False))
% 3.36/3.69 Clause #32 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Eq (cP (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 3.36/3.69 Clause #39 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a) a_1) True) (Eq (cP a_1 (skS.0 1 a a_2)) False)
% 3.36/3.69 Clause #41 (by superposition #[39, 32]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq False True)
% 3.36/3.69 Clause #46 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (cP (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 3.36/3.69 Clause #47 (by superposition #[46, 20]): Eq True False
% 3.36/3.69 Clause #51 (by clausification #[47]): False
% 3.36/3.69 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------