TSTP Solution File: SYO307^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO307^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 04:22:07 EDT 2023
% Result : Theorem 3.46s 3.64s
% Output : Proof 3.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO307^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n007.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 04:05:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.46/3.64 SZS status Theorem for theBenchmark.p
% 3.46/3.64 SZS output start Proof for theBenchmark.p
% 3.46/3.64 Clause #0 (by assumption #[]): Eq
% 3.46/3.64 (Not
% 3.46/3.64 (Exists fun A => ∀ (Xx Xy Xz : Iota), Or (A Xx) (And (A Xy) (A Xz)) → Or (And (p Xx) (cR Xy)) (And (q Xx) (cT Xz))))
% 3.46/3.64 True
% 3.46/3.64 Clause #1 (by clausification #[0]): Eq (Exists fun A => ∀ (Xx Xy Xz : Iota), Or (A Xx) (And (A Xy) (A Xz)) → Or (And (p Xx) (cR Xy)) (And (q Xx) (cT Xz)))
% 3.46/3.64 False
% 3.46/3.64 Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop),
% 3.46/3.64 Eq (∀ (Xx Xy Xz : Iota), Or (a Xx) (And (a Xy) (a Xz)) → Or (And (p Xx) (cR Xy)) (And (q Xx) (cT Xz))) False
% 3.46/3.64 Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop) (a_1 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (Not
% 3.46/3.64 (∀ (Xy Xz : Iota),
% 3.46/3.64 Or (a (skS.0 0 a a_1)) (And (a Xy) (a Xz)) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR Xy)) (And (q (skS.0 0 a a_1)) (cT Xz))))
% 3.46/3.64 True
% 3.46/3.64 Clause #4 (by clausification #[3]): ∀ (a : Iota → Prop) (a_1 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (∀ (Xy Xz : Iota),
% 3.46/3.64 Or (a (skS.0 0 a a_1)) (And (a Xy) (a Xz)) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR Xy)) (And (q (skS.0 0 a a_1)) (cT Xz)))
% 3.46/3.64 False
% 3.46/3.64 Clause #5 (by clausification #[4]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (Not
% 3.46/3.64 (∀ (Xz : Iota),
% 3.46/3.64 Or (a (skS.0 0 a a_1)) (And (a (skS.0 1 a a_1 a_2)) (a Xz)) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR (skS.0 1 a a_1 a_2))) (And (q (skS.0 0 a a_1)) (cT Xz))))
% 3.46/3.64 True
% 3.46/3.64 Clause #6 (by clausification #[5]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (∀ (Xz : Iota),
% 3.46/3.64 Or (a (skS.0 0 a a_1)) (And (a (skS.0 1 a a_1 a_2)) (a Xz)) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR (skS.0 1 a a_1 a_2))) (And (q (skS.0 0 a a_1)) (cT Xz)))
% 3.46/3.64 False
% 3.46/3.64 Clause #7 (by clausification #[6]): ∀ (a : Iota → Prop) (a_1 a_2 a_3 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (Not
% 3.46/3.64 (Or (a (skS.0 0 a a_1)) (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3))) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR (skS.0 1 a a_1 a_2))) (And (q (skS.0 0 a a_1)) (cT (skS.0 2 a a_1 a_2 a_3)))))
% 3.46/3.64 True
% 3.46/3.64 Clause #8 (by clausification #[7]): ∀ (a : Iota → Prop) (a_1 a_2 a_3 : Iota),
% 3.46/3.64 Eq
% 3.46/3.64 (Or (a (skS.0 0 a a_1)) (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3))) →
% 3.46/3.64 Or (And (p (skS.0 0 a a_1)) (cR (skS.0 1 a a_1 a_2))) (And (q (skS.0 0 a a_1)) (cT (skS.0 2 a a_1 a_2 a_3))))
% 3.46/3.64 False
% 3.46/3.64 Clause #9 (by clausification #[8]): ∀ (a : Iota → Prop) (a_1 a_2 a_3 : Iota),
% 3.46/3.64 Eq (Or (a (skS.0 0 a a_1)) (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3)))) True
% 3.46/3.64 Clause #11 (by clausification #[9]): ∀ (a : Iota → Prop) (a_1 a_2 a_3 : Iota),
% 3.46/3.64 Or (Eq (a (skS.0 0 a a_1)) True) (Eq (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3))) True)
% 3.46/3.64 Clause #12 (by clausification #[11]): ∀ (a : Iota → Prop) (a_1 a_2 a_3 : Iota), Or (Eq (a (skS.0 0 a a_1)) True) (Eq (a (skS.0 2 a a_1 a_2 a_3)) True)
% 3.46/3.64 Clause #20 (by equality factoring #[12]): ∀ (a : Prop) (a_1 : Iota), Or (Ne True True) (Eq ((fun x => a) (skS.0 0 (fun x => a) a_1)) True)
% 3.46/3.64 Clause #48 (by betaEtaReduce #[20]): ∀ (a : Prop), Or (Ne True True) (Eq a True)
% 3.46/3.64 Clause #49 (by clausification #[48]): ∀ (a : Prop), Or (Eq a True) (Or (Eq True False) (Eq True False))
% 3.46/3.64 Clause #51 (by clausification #[49]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 3.46/3.64 Clause #52 (by clausification #[51]): ∀ (a : Prop), Eq a True
% 3.46/3.64 Clause #53 (by falseElim #[52]): False
% 3.46/3.64 SZS output end Proof for theBenchmark.p
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