TSTP Solution File: SYN375^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN375^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 02:11:30 EDT 2023
% Result : Theorem 3.25s 3.55s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN375^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : duper %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat Aug 26 20:52:44 EDT 2023
% 0.08/0.29 % CPUTime :
% 3.25/3.55 SZS status Theorem for theBenchmark.p
% 3.25/3.55 SZS output start Proof for theBenchmark.p
% 3.25/3.55 Clause #0 (by assumption #[]): Eq
% 3.25/3.55 (Not
% 3.25/3.55 (And ((∀ (Xx : Iota), cP Xx) → Exists fun Xy => cP Xy) ((Exists fun Xy => cP Xy) → ∀ (Xx : Iota), cP Xx) →
% 3.25/3.55 Iff (Exists fun Xy => cP Xy) (∀ (Xx : Iota), cP Xx)))
% 3.25/3.55 True
% 3.25/3.55 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.25/3.55 (Not
% 3.25/3.55 (And ((∀ (Xx : Iota), cP Xx) → Exists cP) (Exists cP → ∀ (Xx : Iota), cP Xx) →
% 3.25/3.55 Iff (Exists cP) (∀ (Xx : Iota), cP Xx)))
% 3.25/3.55 True
% 3.25/3.55 Clause #2 (by clausification #[1]): Eq
% 3.25/3.55 (And ((∀ (Xx : Iota), cP Xx) → Exists cP) (Exists cP → ∀ (Xx : Iota), cP Xx) → Iff (Exists cP) (∀ (Xx : Iota), cP Xx))
% 3.25/3.55 False
% 3.25/3.55 Clause #3 (by clausification #[2]): Eq (And ((∀ (Xx : Iota), cP Xx) → Exists cP) (Exists cP → ∀ (Xx : Iota), cP Xx)) True
% 3.25/3.55 Clause #4 (by clausification #[2]): Eq (Iff (Exists cP) (∀ (Xx : Iota), cP Xx)) False
% 3.25/3.55 Clause #5 (by clausification #[3]): Eq (Exists cP → ∀ (Xx : Iota), cP Xx) True
% 3.25/3.55 Clause #7 (by clausification #[5]): Or (Eq (Exists cP) False) (Eq (∀ (Xx : Iota), cP Xx) True)
% 3.25/3.55 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cP Xx) True) (Eq (cP a) False)
% 3.25/3.55 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cP a) False) (Eq (cP a_1) True)
% 3.25/3.55 Clause #14 (by clausification #[4]): Or (Eq (Exists cP) False) (Eq (∀ (Xx : Iota), cP Xx) False)
% 3.25/3.55 Clause #15 (by clausification #[4]): Or (Eq (Exists cP) True) (Eq (∀ (Xx : Iota), cP Xx) True)
% 3.25/3.55 Clause #16 (by clausification #[14]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cP Xx) False) (Eq (cP a) False)
% 3.25/3.55 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (cP a) False) (Eq (Not (cP (skS.0 2 a_1))) True)
% 3.25/3.55 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (cP a) False) (Eq (cP (skS.0 2 a_1)) False)
% 3.25/3.55 Clause #19 (by clausification #[15]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cP Xx) True) (Eq (cP (skS.0 3 a)) True)
% 3.25/3.55 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (cP (skS.0 3 a)) True) (Eq (cP a_1) True)
% 3.25/3.55 Clause #21 (by superposition #[20, 9]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq (cP a_1) True))
% 3.25/3.55 Clause #26 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cP a_1) True)
% 3.25/3.55 Clause #27 (by equality factoring #[26]): ∀ (a : Iota), Or (Ne True True) (Eq (cP a) True)
% 3.25/3.55 Clause #29 (by clausification #[27]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq True False))
% 3.25/3.55 Clause #31 (by clausification #[29]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq True False)
% 3.25/3.55 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (cP a) True
% 3.25/3.55 Clause #33 (by superposition #[32, 18]): ∀ (a : Iota), Or (Eq True False) (Eq (cP (skS.0 2 a)) False)
% 3.25/3.55 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (cP (skS.0 2 a)) False
% 3.25/3.55 Clause #35 (by superposition #[34, 32]): Eq False True
% 3.25/3.55 Clause #36 (by clausification #[35]): False
% 3.25/3.55 SZS output end Proof for theBenchmark.p
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