TSTP Solution File: SET044^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SET044^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 14:45:17 EDT 2023
% Result : Theorem 3.69s 3.90s
% Output : Proof 3.69s
% 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 : SET044^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 16:08:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.69/3.90 SZS status Theorem for theBenchmark.p
% 3.69/3.90 SZS output start Proof for theBenchmark.p
% 3.69/3.90 Clause #0 (by assumption #[]): Eq
% 3.69/3.90 (Not
% 3.69/3.90 ((Exists fun Xy => ∀ (Xx : Iota), Iff (cF Xx Xy) (cF Xx Xx)) →
% 3.69/3.90 Not (∀ (Xx : Iota), Exists fun Xy => ∀ (Xz : Iota), Iff (cF Xz Xy) (Not (cF Xz Xx)))))
% 3.69/3.90 True
% 3.69/3.90 Clause #1 (by clausification #[0]): Eq
% 3.69/3.90 ((Exists fun Xy => ∀ (Xx : Iota), Iff (cF Xx Xy) (cF Xx Xx)) →
% 3.69/3.90 Not (∀ (Xx : Iota), Exists fun Xy => ∀ (Xz : Iota), Iff (cF Xz Xy) (Not (cF Xz Xx))))
% 3.69/3.90 False
% 3.69/3.90 Clause #2 (by clausification #[1]): Eq (Exists fun Xy => ∀ (Xx : Iota), Iff (cF Xx Xy) (cF Xx Xx)) True
% 3.69/3.90 Clause #3 (by clausification #[1]): Eq (Not (∀ (Xx : Iota), Exists fun Xy => ∀ (Xz : Iota), Iff (cF Xz Xy) (Not (cF Xz Xx)))) False
% 3.69/3.90 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Xx : Iota), Iff (cF Xx (skS.0 0 a)) (cF Xx Xx)) True
% 3.69/3.90 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (cF a (skS.0 0 a_1)) (cF a a)) True
% 3.69/3.90 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cF a (skS.0 0 a_1)) True) (Eq (cF a a) False)
% 3.69/3.90 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cF a (skS.0 0 a_1)) False) (Eq (cF a a) True)
% 3.69/3.90 Clause #8 (by clausification #[3]): Eq (∀ (Xx : Iota), Exists fun Xy => ∀ (Xz : Iota), Iff (cF Xz Xy) (Not (cF Xz Xx))) True
% 3.69/3.90 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Exists fun Xy => ∀ (Xz : Iota), Iff (cF Xz Xy) (Not (cF Xz a))) True
% 3.69/3.90 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Iff (cF Xz (skS.0 1 a a_1)) (Not (cF Xz a))) True
% 3.69/3.90 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (Iff (cF a (skS.0 1 a_1 a_2)) (Not (cF a a_1))) True
% 3.69/3.90 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF a (skS.0 1 a_1 a_2)) True) (Eq (Not (cF a a_1)) False)
% 3.69/3.90 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF a (skS.0 1 a_1 a_2)) False) (Eq (Not (cF a a_1)) True)
% 3.69/3.90 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF a (skS.0 1 a_1 a_2)) True) (Eq (cF a a_1) True)
% 3.69/3.90 Clause #15 (by superposition #[14, 6]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.90 Or (Eq (cF (skS.0 1 a a_1) a) True) (Or (Eq (cF (skS.0 1 a a_1) (skS.0 0 a_2)) True) (Eq True False))
% 3.69/3.90 Clause #16 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF a (skS.0 1 a_1 a_2)) False) (Eq (cF a a_1) False)
% 3.69/3.90 Clause #19 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF (skS.0 1 a a_1) a) True) (Eq (cF (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 3.69/3.90 Clause #23 (by equality factoring #[19]): ∀ (a a_1 : Iota), Or (Ne True True) (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) True)
% 3.69/3.90 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))
% 3.69/3.90 Clause #26 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) True) (Eq True False)
% 3.69/3.90 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) True
% 3.69/3.90 Clause #28 (by superposition #[27, 7]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 1 (skS.0 0 a) a_1)) True)
% 3.69/3.90 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 1 (skS.0 0 a) a_1)) True
% 3.69/3.90 Clause #30 (by superposition #[29, 16]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) False)
% 3.69/3.90 Clause #31 (by superposition #[29, 6]): ∀ (a a_1 a_2 : Iota), Or (Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) True) (Eq True False)
% 3.69/3.90 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) True
% 3.69/3.90 Clause #33 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (cF (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) False
% 3.69/3.90 Clause #34 (by superposition #[33, 32]): Eq False True
% 3.69/3.90 Clause #37 (by clausification #[34]): False
% 3.69/3.90 SZS output end Proof for theBenchmark.p
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