TSTP Solution File: SYO104^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO104^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 04:21:31 EDT 2023
% Result : Theorem 3.44s 3.61s
% Output : Proof 3.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO104^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n006.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 : Sat Aug 26 06:08:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.44/3.61 SZS status Theorem for theBenchmark.p
% 3.44/3.61 SZS output start Proof for theBenchmark.p
% 3.44/3.61 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (Xx : Iota), And (cP Xx y) (cQ Xx y)) (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y)))) True
% 3.44/3.61 Clause #1 (by clausification #[0]): Eq (Iff (∀ (Xx : Iota), And (cP Xx y) (cQ Xx y)) (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y))) False
% 3.44/3.61 Clause #2 (by clausification #[1]): Or (Eq (∀ (Xx : Iota), And (cP Xx y) (cQ Xx y)) False)
% 3.44/3.61 (Eq (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y)) False)
% 3.44/3.61 Clause #3 (by clausification #[1]): Or (Eq (∀ (Xx : Iota), And (cP Xx y) (cQ Xx y)) True) (Eq (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y)) True)
% 3.44/3.61 Clause #4 (by clausification #[2]): ∀ (a : Iota),
% 3.44/3.61 Or (Eq (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y)) False)
% 3.44/3.61 (Eq (Not (And (cP (skS.0 0 a) y) (cQ (skS.0 0 a) y))) True)
% 3.44/3.61 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.44/3.61 Or (Eq (Not (And (cP (skS.0 0 a) y) (cQ (skS.0 0 a) y))) True)
% 3.44/3.61 (Or (Eq (∀ (Xx : Iota), cP Xx y) False) (Eq (∀ (Xx : Iota), cQ Xx y) False))
% 3.44/3.61 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 3.44/3.61 Or (Eq (∀ (Xx : Iota), cP Xx y) False)
% 3.44/3.61 (Or (Eq (∀ (Xx : Iota), cQ Xx y) False) (Eq (And (cP (skS.0 0 a) y) (cQ (skS.0 0 a) y)) False))
% 3.44/3.61 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.44/3.61 Or (Eq (∀ (Xx : Iota), cQ Xx y) False)
% 3.44/3.61 (Or (Eq (And (cP (skS.0 0 a) y) (cQ (skS.0 0 a) y)) False) (Eq (Not (cP (skS.0 1 a_1) y)) True))
% 3.44/3.61 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.61 Or (Eq (And (cP (skS.0 0 a) y) (cQ (skS.0 0 a) y)) False)
% 3.44/3.61 (Or (Eq (Not (cP (skS.0 1 a_1) y)) True) (Eq (Not (cQ (skS.0 2 a_2) y)) True))
% 3.44/3.61 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.61 Or (Eq (Not (cP (skS.0 1 a) y)) True)
% 3.44/3.61 (Or (Eq (Not (cQ (skS.0 2 a_1) y)) True) (Or (Eq (cP (skS.0 0 a_2) y) False) (Eq (cQ (skS.0 0 a_2) y) False)))
% 3.44/3.61 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.61 Or (Eq (Not (cQ (skS.0 2 a) y)) True)
% 3.44/3.61 (Or (Eq (cP (skS.0 0 a_1) y) False) (Or (Eq (cQ (skS.0 0 a_1) y) False) (Eq (cP (skS.0 1 a_2) y) False)))
% 3.44/3.61 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.61 Or (Eq (cP (skS.0 0 a) y) False)
% 3.44/3.61 (Or (Eq (cQ (skS.0 0 a) y) False) (Or (Eq (cP (skS.0 1 a_1) y) False) (Eq (cQ (skS.0 2 a_2) y) False)))
% 3.44/3.61 Clause #12 (by clausification #[3]): ∀ (a : Iota), Or (Eq (And (∀ (Xx : Iota), cP Xx y) (∀ (Xx : Iota), cQ Xx y)) True) (Eq (And (cP a y) (cQ a y)) True)
% 3.44/3.61 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (And (cP a y) (cQ a y)) True) (Eq (∀ (Xx : Iota), cQ Xx y) True)
% 3.44/3.61 Clause #14 (by clausification #[12]): ∀ (a : Iota), Or (Eq (And (cP a y) (cQ a y)) True) (Eq (∀ (Xx : Iota), cP Xx y) True)
% 3.44/3.61 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cQ Xx y) True) (Eq (cQ a y) True)
% 3.44/3.61 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cQ a y) True) (Eq (cQ a_1 y) True)
% 3.44/3.61 Clause #18 (by equality factoring #[17]): ∀ (a : Iota), Or (Ne True True) (Eq (cQ a y) True)
% 3.44/3.61 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cQ a y) True) (Or (Eq True False) (Eq True False))
% 3.44/3.61 Clause #21 (by clausification #[19]): ∀ (a : Iota), Or (Eq (cQ a y) True) (Eq True False)
% 3.44/3.61 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (cQ a y) True
% 3.44/3.61 Clause #25 (by clausification #[14]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cP Xx y) True) (Eq (cP a y) True)
% 3.44/3.61 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (cP a y) True) (Eq (cP a_1 y) True)
% 3.44/3.61 Clause #29 (by equality factoring #[27]): ∀ (a : Iota), Or (Ne True True) (Eq (cP a y) True)
% 3.44/3.61 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (cP a y) True) (Or (Eq True False) (Eq True False))
% 3.44/3.61 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cP a y) True) (Eq True False)
% 3.44/3.61 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (cP a y) True
% 3.44/3.61 Clause #34 (by backward demodulation #[33, 11]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.61 Or (Eq True False)
% 3.44/3.61 (Or (Eq (cQ (skS.0 0 a) y) False) (Or (Eq (cP (skS.0 1 a_1) y) False) (Eq (cQ (skS.0 2 a_2) y) False)))
% 3.44/3.62 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota),
% 3.44/3.62 Or (Eq (cQ (skS.0 0 a) y) False) (Or (Eq (cP (skS.0 1 a_1) y) False) (Eq (cQ (skS.0 2 a_2) y) False))
% 3.44/3.62 Clause #36 (by superposition #[35, 22]): ∀ (a a_1 : Iota), Or (Eq (cP (skS.0 1 a) y) False) (Or (Eq (cQ (skS.0 2 a_1) y) False) (Eq False True))
% 3.44/3.62 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (cP (skS.0 1 a) y) False) (Eq (cQ (skS.0 2 a_1) y) False)
% 3.44/3.62 Clause #38 (by superposition #[37, 33]): ∀ (a : Iota), Or (Eq (cQ (skS.0 2 a) y) False) (Eq False True)
% 3.44/3.62 Clause #40 (by clausification #[38]): ∀ (a : Iota), Eq (cQ (skS.0 2 a) y) False
% 3.44/3.62 Clause #41 (by superposition #[40, 22]): Eq False True
% 3.44/3.62 Clause #42 (by clausification #[41]): False
% 3.44/3.62 SZS output end Proof for theBenchmark.p
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