TSTP Solution File: SEV091^5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 19:24:14 EDT 2023
% Result : Theorem 8.28s 8.50s
% Output : Proof 8.28s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 02:10:36 EDT 2023
% 0.15/0.36 % CPUTime :
% 8.28/8.50 SZS status Theorem for theBenchmark.p
% 8.28/8.50 SZS output start Proof for theBenchmark.p
% 8.28/8.50 Clause #0 (by assumption #[]): Eq
% 8.28/8.50 (Not
% 8.28/8.50 (And
% 8.28/8.50 (And
% 8.28/8.50 (And (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz)
% 8.28/8.50 (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 8.28/8.50 (∀ (Xx Xy : Iota), cQ Xx Xy → cQ Xy Xx))
% 8.28/8.50 (∀ (Xx Xy : Iota), Or (cP Xx Xy) (cQ Xx Xy)) →
% 8.28/8.50 Or (∀ (Xx Xy : Iota), cP Xx Xy) (∀ (Xx Xy : Iota), cQ Xx Xy)))
% 8.28/8.50 True
% 8.28/8.50 Clause #1 (by clausification #[0]): Eq
% 8.28/8.50 (And
% 8.28/8.50 (And
% 8.28/8.50 (And (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz)
% 8.28/8.50 (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 8.28/8.50 (∀ (Xx Xy : Iota), cQ Xx Xy → cQ Xy Xx))
% 8.28/8.50 (∀ (Xx Xy : Iota), Or (cP Xx Xy) (cQ Xx Xy)) →
% 8.28/8.50 Or (∀ (Xx Xy : Iota), cP Xx Xy) (∀ (Xx Xy : Iota), cQ Xx Xy))
% 8.28/8.50 False
% 8.28/8.50 Clause #2 (by clausification #[1]): Eq
% 8.28/8.50 (And
% 8.28/8.50 (And
% 8.28/8.50 (And (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz)
% 8.28/8.50 (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 8.28/8.50 (∀ (Xx Xy : Iota), cQ Xx Xy → cQ Xy Xx))
% 8.28/8.50 (∀ (Xx Xy : Iota), Or (cP Xx Xy) (cQ Xx Xy)))
% 8.28/8.50 True
% 8.28/8.50 Clause #3 (by clausification #[1]): Eq (Or (∀ (Xx Xy : Iota), cP Xx Xy) (∀ (Xx Xy : Iota), cQ Xx Xy)) False
% 8.28/8.50 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy : Iota), Or (cP Xx Xy) (cQ Xx Xy)) True
% 8.28/8.50 Clause #5 (by clausification #[2]): Eq
% 8.28/8.50 (And
% 8.28/8.50 (And (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz)
% 8.28/8.50 (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 8.28/8.50 (∀ (Xx Xy : Iota), cQ Xx Xy → cQ Xy Xx))
% 8.28/8.50 True
% 8.28/8.50 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (cP a Xy) (cQ a Xy)) True
% 8.28/8.50 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Or (cP a a_1) (cQ a a_1)) True
% 8.28/8.50 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) True) (Eq (cQ a a_1) True)
% 8.28/8.50 Clause #9 (by clausification #[3]): Eq (∀ (Xx Xy : Iota), cQ Xx Xy) False
% 8.28/8.50 Clause #10 (by clausification #[3]): Eq (∀ (Xx Xy : Iota), cP Xx Xy) False
% 8.28/8.50 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), cQ (skS.0 0 a) Xy)) True
% 8.28/8.50 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Xy : Iota), cQ (skS.0 0 a) Xy) False
% 8.28/8.50 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Not (cQ (skS.0 0 a) (skS.0 1 a a_1))) True
% 8.28/8.50 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 0 a) (skS.0 1 a a_1)) False
% 8.28/8.50 Clause #15 (by clausification #[10]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), cP (skS.0 2 a) Xy)) True
% 8.28/8.50 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (Xy : Iota), cP (skS.0 2 a) Xy) False
% 8.28/8.50 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Not (cP (skS.0 2 a) (skS.0 3 a a_1))) True
% 8.28/8.50 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (cP (skS.0 2 a) (skS.0 3 a a_1)) False
% 8.28/8.50 Clause #19 (by superposition #[18, 8]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (cQ (skS.0 2 a) (skS.0 3 a a_1)) True)
% 8.28/8.50 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 2 a) (skS.0 3 a a_1)) True
% 8.28/8.50 Clause #21 (by clausification #[5]): Eq (∀ (Xx Xy : Iota), cQ Xx Xy → cQ Xy Xx) True
% 8.28/8.50 Clause #22 (by clausification #[5]): Eq
% 8.28/8.50 (And (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz)
% 8.28/8.50 (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 8.28/8.50 True
% 8.28/8.50 Clause #23 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (Xy : Iota), cQ a Xy → cQ Xy a) True
% 8.28/8.50 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (cQ a a_1 → cQ a_1 a) True
% 8.28/8.50 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Eq (cQ a_1 a) True)
% 8.28/8.50 Clause #27 (by clausification #[22]): Eq (∀ (Xx Xy Xz : Iota), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz) True
% 8.28/8.50 Clause #28 (by clausification #[22]): Eq (∀ (Xx Xy Xz : Iota), And (cP Xx Xy) (cP Xy Xz) → cP Xx Xz) True
% 8.28/8.50 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), And (cQ a Xy) (cQ Xy Xz) → cQ a Xz) True
% 8.28/8.50 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), And (cQ a a_1) (cQ a_1 Xz) → cQ a Xz) True
% 8.28/8.53 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Eq (And (cQ a a_1) (cQ a_1 a_2) → cQ a a_2) True
% 8.28/8.53 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (cQ a a_1) (cQ a_1 a_2)) False) (Eq (cQ a a_2) True)
% 8.28/8.53 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ a a_1) True) (Or (Eq (cQ a a_2) False) (Eq (cQ a_2 a_1) False))
% 8.28/8.53 Clause #34 (by superposition #[33, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ (skS.0 2 a) a_1) True) (Or (Eq (cQ (skS.0 3 a a_2) a_1) False) (Eq False True))
% 8.28/8.53 Clause #35 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), And (cP a Xy) (cP Xy Xz) → cP a Xz) True
% 8.28/8.53 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), And (cP a a_1) (cP a_1 Xz) → cP a Xz) True
% 8.28/8.53 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), Eq (And (cP a a_1) (cP a_1 a_2) → cP a a_2) True
% 8.28/8.53 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (cP a a_1) (cP a_1 a_2)) False) (Eq (cP a a_2) True)
% 8.28/8.53 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cP a a_2) False) (Eq (cP a_2 a_1) False))
% 8.28/8.53 Clause #40 (by superposition #[39, 8]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cP a_2 a_1) False) (Or (Eq False True) (Eq (cQ a a_2) True)))
% 8.28/8.53 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cP a_2 a_1) False) (Eq (cQ a a_2) True))
% 8.28/8.53 Clause #42 (by superposition #[41, 8]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a a_2) True) (Or (Eq False True) (Eq (cQ a_2 a_1) True)))
% 8.28/8.53 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a a_2) True) (Eq (cQ a_2 a_1) True))
% 8.28/8.53 Clause #51 (by superposition #[43, 25]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a a_2) True) (Or (Eq True False) (Eq (cQ a_1 a_2) True)))
% 8.28/8.53 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a a_2) True) (Eq (cQ a_1 a_2) True))
% 8.28/8.53 Clause #58 (by superposition #[53, 25]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a_1 a_2) True) (Or (Eq True False) (Eq (cQ a_2 a) True)))
% 8.28/8.53 Clause #81 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Or (Eq (cQ a_1 a_2) True) (Eq (cQ a_2 a) True))
% 8.28/8.53 Clause #82 (by superposition #[81, 18]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ (skS.0 3 a a_1) a_2) True) (Or (Eq (cQ a_2 (skS.0 2 a)) True) (Eq True False))
% 8.28/8.53 Clause #91 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ (skS.0 2 a) a_1) True) (Eq (cQ (skS.0 3 a a_2) a_1) False)
% 8.28/8.53 Clause #641 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ (skS.0 3 a a_1) a_2) True) (Eq (cQ a_2 (skS.0 2 a)) True)
% 8.28/8.53 Clause #642 (by superposition #[641, 91]): ∀ (a a_1 : Iota), Or (Eq (cQ a (skS.0 2 a_1)) True) (Or (Eq (cQ (skS.0 2 a_1) a) True) (Eq True False))
% 8.28/8.53 Clause #1777 (by clausification #[642]): ∀ (a a_1 : Iota), Or (Eq (cQ a (skS.0 2 a_1)) True) (Eq (cQ (skS.0 2 a_1) a) True)
% 8.28/8.53 Clause #1780 (by superposition #[1777, 25]): ∀ (a a_1 : Iota), Or (Eq (cQ (skS.0 2 a) a_1) True) (Or (Eq True False) (Eq (cQ (skS.0 2 a) a_1) True))
% 8.28/8.53 Clause #1820 (by clausification #[1780]): ∀ (a a_1 : Iota), Or (Eq (cQ (skS.0 2 a) a_1) True) (Eq (cQ (skS.0 2 a) a_1) True)
% 8.28/8.53 Clause #1821 (by eliminate duplicate literals #[1820]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 2 a) a_1) True
% 8.28/8.53 Clause #1826 (by superposition #[1821, 25]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cQ a (skS.0 2 a_1)) True)
% 8.28/8.53 Clause #1838 (by clausification #[1826]): ∀ (a a_1 : Iota), Eq (cQ a (skS.0 2 a_1)) True
% 8.28/8.53 Clause #1841 (by superposition #[1838, 33]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ a a_1) True) (Or (Eq True False) (Eq (cQ (skS.0 2 a_2) a_1) False))
% 8.28/8.53 Clause #1879 (by clausification #[1841]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ a a_1) True) (Eq (cQ (skS.0 2 a_2) a_1) False)
% 8.28/8.53 Clause #1884 (by superposition #[1879, 1821]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) True) (Eq False True)
% 8.28/8.53 Clause #1930 (by clausification #[1884]): ∀ (a a_1 : Iota), Eq (cQ a a_1) True
% 8.28/8.54 Clause #1940 (by superposition #[1930, 14]): Eq True False
% 8.28/8.54 Clause #1941 (by clausification #[1940]): False
% 8.28/8.54 SZS output end Proof for theBenchmark.p
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