TSTP Solution File: SYO140^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO140^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 04:21:38 EDT 2023
% Result : Theorem 3.60s 3.84s
% Output : Proof 3.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO140^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n009.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 05:12:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.60/3.84 SZS status Theorem for theBenchmark.p
% 3.60/3.84 SZS output start Proof for theBenchmark.p
% 3.60/3.84 Clause #0 (by assumption #[]): Eq (Not ((Exists fun Xx => cP Xx) → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists fun Xx => cQ Xx)) True
% 3.60/3.84 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists cP → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ)) True
% 3.60/3.84 Clause #2 (by clausification #[1]): Eq (Exists cP → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ) False
% 3.60/3.84 Clause #3 (by clausification #[2]): Eq (Exists cP) True
% 3.60/3.84 Clause #4 (by clausification #[2]): Eq ((∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ) False
% 3.60/3.84 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (cP (skS.0 0 a)) True
% 3.60/3.84 Clause #6 (by clausification #[4]): Eq (∀ (Xx : Iota), cP Xx → cQ Xx) True
% 3.60/3.84 Clause #7 (by clausification #[4]): Eq (Exists cQ) False
% 3.60/3.84 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (cP a → cQ a) True
% 3.60/3.84 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cQ a) True)
% 3.60/3.84 Clause #10 (by superposition #[9, 5]): ∀ (a : Iota), Or (Eq (cQ (skS.0 0 a)) True) (Eq False True)
% 3.60/3.84 Clause #11 (by clausification #[7]): ∀ (a : Iota), Eq (cQ a) False
% 3.60/3.84 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) True
% 3.60/3.84 Clause #13 (by superposition #[12, 11]): Eq True False
% 3.60/3.84 Clause #14 (by clausification #[13]): False
% 3.60/3.84 SZS output end Proof for theBenchmark.p
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