TSTP Solution File: SYO382^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO382^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 04:22:19 EDT 2023
% Result : Theorem 3.48s 3.62s
% Output : Proof 3.48s
% 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 : SYO382^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 08:06:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.48/3.62 SZS status Theorem for theBenchmark.p
% 3.48/3.62 SZS output start Proof for theBenchmark.p
% 3.48/3.62 Clause #0 (by assumption #[]): Eq
% 3.48/3.62 (Not
% 3.48/3.62 ((And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.48/3.62 Exists fun Xu => Not (cS Xu)) →
% 3.48/3.62 And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.48/3.62 Exists fun Xu => Not (cS Xu)))
% 3.48/3.62 True
% 3.48/3.62 Clause #1 (by clausification #[0]): Eq
% 3.48/3.62 ((And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.48/3.62 Exists fun Xu => Not (cS Xu)) →
% 3.48/3.62 And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.48/3.62 Exists fun Xu => Not (cS Xu))
% 3.48/3.62 False
% 3.48/3.62 Clause #3 (by clausification #[1]): Eq
% 3.48/3.62 (And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.48/3.62 Exists fun Xu => Not (cS Xu))
% 3.48/3.62 False
% 3.48/3.62 Clause #22 (by clausification #[3]): Eq
% 3.48/3.62 (And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.48/3.62 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)))
% 3.48/3.62 True
% 3.48/3.62 Clause #23 (by clausification #[3]): Eq (Exists fun Xu => Not (cS Xu)) False
% 3.48/3.62 Clause #24 (by clausification #[22]): Eq (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) True
% 3.48/3.62 Clause #25 (by clausification #[22]): Eq (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx)) True
% 3.48/3.62 Clause #26 (by clausification #[24]): ∀ (a : Iota), Eq (∀ (Xy : Iota), cP a Xy → Not (cQ a Xy)) True
% 3.48/3.62 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (cP a a_1 → Not (cQ a a_1)) True
% 3.48/3.62 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) False) (Eq (Not (cQ a a_1)) True)
% 3.48/3.63 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) False) (Eq (cQ a a_1) False)
% 3.48/3.63 Clause #30 (by clausification #[23]): ∀ (a : Iota), Eq (Not (cS a)) False
% 3.48/3.63 Clause #31 (by clausification #[30]): ∀ (a : Iota), Eq (cS a) True
% 3.48/3.63 Clause #32 (by clausification #[25]): Eq (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx) True
% 3.48/3.63 Clause #33 (by clausification #[25]): Eq (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) True
% 3.48/3.63 Clause #34 (by clausification #[32]): ∀ (a : Iota), Eq (cS a → Exists fun Xy => cQ Xy a) True
% 3.48/3.63 Clause #35 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cS a) False) (Eq (Exists fun Xy => cQ Xy a) True)
% 3.48/3.63 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (cS a) False) (Eq (cQ (skS.0 5 a a_1) a) True)
% 3.48/3.63 Clause #37 (by forward demodulation #[36, 31]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cQ (skS.0 5 a a_1) a) True)
% 3.48/3.63 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 5 a a_1) a) True
% 3.48/3.63 Clause #39 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Xx : Iota), cP Xx (skS.0 6 a)) True
% 3.48/3.63 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (cP a (skS.0 6 a_1)) True
% 3.48/3.63 Clause #41 (by superposition #[40, 29]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cQ a (skS.0 6 a_1)) False)
% 3.48/3.63 Clause #47 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (cQ a (skS.0 6 a_1)) False
% 3.48/3.63 Clause #48 (by superposition #[47, 38]): Eq False True
% 3.48/3.63 Clause #49 (by clausification #[48]): False
% 3.48/3.63 SZS output end Proof for theBenchmark.p
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