TSTP Solution File: SYN721+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN721+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 02:12:44 EDT 2023
% Result : Theorem 3.78s 4.00s
% Output : Proof 3.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN721+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 19:25:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.78/4.00 SZS status Theorem for theBenchmark.p
% 3.78/4.00 SZS output start Proof for theBenchmark.p
% 3.78/4.00 Clause #0 (by assumption #[]): Eq
% 3.78/4.00 (Not
% 3.78/4.00 (And (And (r a b) (∀ (X : Iota), (Exists fun Y => r X Y) → q X X)) (∀ (U V : Iota), q U V → ∀ (Z : Iota), r Z V) →
% 3.78/4.00 Exists fun W => And (r b W) (q W a)))
% 3.78/4.00 True
% 3.78/4.00 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.78/4.00 (Not
% 3.78/4.00 (And (And (r a b) (∀ (X : Iota), Exists (r X) → q X X)) (∀ (U V : Iota), q U V → ∀ (Z : Iota), r Z V) →
% 3.78/4.00 Exists fun W => And (r b W) (q W a)))
% 3.78/4.00 True
% 3.78/4.00 Clause #2 (by clausification #[1]): Eq
% 3.78/4.00 (And (And (r a b) (∀ (X : Iota), Exists (r X) → q X X)) (∀ (U V : Iota), q U V → ∀ (Z : Iota), r Z V) →
% 3.78/4.00 Exists fun W => And (r b W) (q W a))
% 3.78/4.00 False
% 3.78/4.00 Clause #3 (by clausification #[2]): Eq (And (And (r a b) (∀ (X : Iota), Exists (r X) → q X X)) (∀ (U V : Iota), q U V → ∀ (Z : Iota), r Z V)) True
% 3.78/4.00 Clause #4 (by clausification #[2]): Eq (Exists fun W => And (r b W) (q W a)) False
% 3.78/4.00 Clause #5 (by clausification #[3]): Eq (∀ (U V : Iota), q U V → ∀ (Z : Iota), r Z V) True
% 3.78/4.00 Clause #6 (by clausification #[3]): Eq (And (r a b) (∀ (X : Iota), Exists (r X) → q X X)) True
% 3.78/4.00 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (V : Iota), q a V → ∀ (Z : Iota), r Z V) True
% 3.78/4.00 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (q a a_1 → ∀ (Z : Iota), r Z a_1) True
% 3.78/4.00 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (q a a_1) False) (Eq (∀ (Z : Iota), r Z a_1) True)
% 3.78/4.00 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Or (Eq (q a a_1) False) (Eq (r a_2 a_1) True)
% 3.78/4.00 Clause #11 (by clausification #[6]): Eq (∀ (X : Iota), Exists (r X) → q X X) True
% 3.78/4.00 Clause #12 (by clausification #[6]): Eq (r a b) True
% 3.78/4.00 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Exists (r a) → q a a) True
% 3.78/4.00 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (Exists (r a)) False) (Eq (q a a) True)
% 3.78/4.00 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (q a a) True) (Eq (r a a_1) False)
% 3.78/4.00 Clause #16 (by superposition #[12, 15]): Or (Eq (q a a) True) (Eq False True)
% 3.78/4.00 Clause #17 (by clausification #[16]): Eq (q a a) True
% 3.78/4.00 Clause #18 (by superposition #[17, 10]): ∀ (a_1 : Iota), Or (Eq True False) (Eq (r a_1 a) True)
% 3.78/4.00 Clause #19 (by clausification #[18]): ∀ (a_1 : Iota), Eq (r a_1 a) True
% 3.78/4.00 Clause #21 (by clausification #[4]): ∀ (a_1 : Iota), Eq (And (r b a_1) (q a_1 a)) False
% 3.78/4.00 Clause #22 (by clausification #[21]): ∀ (a_1 : Iota), Or (Eq (r b a_1) False) (Eq (q a_1 a) False)
% 3.78/4.00 Clause #23 (by superposition #[22, 19]): Or (Eq (q a a) False) (Eq False True)
% 3.78/4.00 Clause #24 (by clausification #[23]): Eq (q a a) False
% 3.78/4.00 Clause #25 (by superposition #[24, 17]): Eq False True
% 3.78/4.00 Clause #26 (by clausification #[25]): False
% 3.78/4.00 SZS output end Proof for theBenchmark.p
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