TSTP Solution File: SYN359+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN359+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 02:11:24 EDT 2023
% Result : Theorem 3.55s 3.74s
% Output : Proof 3.55s
% 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 : SYN359+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n002.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 17:58:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.55/3.74 SZS status Theorem for theBenchmark.p
% 3.55/3.74 SZS output start Proof for theBenchmark.p
% 3.55/3.74 Clause #0 (by assumption #[]): Eq
% 3.55/3.74 (Not
% 3.55/3.74 (And (And (Exists fun X => big_r X) (∀ (Y : Iota), big_r Y → Exists fun Z => big_q Y Z))
% 3.55/3.74 (∀ (X Y : Iota), big_q X Y → big_q X X) →
% 3.55/3.74 Exists fun X => Exists fun Y => And (big_q X Y) (big_r Y)))
% 3.55/3.74 True
% 3.55/3.74 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.55/3.74 (Not
% 3.55/3.74 (And (And (Exists big_r) (∀ (Y : Iota), big_r Y → Exists (big_q Y))) (∀ (X Y : Iota), big_q X Y → big_q X X) →
% 3.55/3.74 Exists fun X => Exists fun Y => And (big_q X Y) (big_r Y)))
% 3.55/3.74 True
% 3.55/3.74 Clause #2 (by clausification #[1]): Eq
% 3.55/3.74 (And (And (Exists big_r) (∀ (Y : Iota), big_r Y → Exists (big_q Y))) (∀ (X Y : Iota), big_q X Y → big_q X X) →
% 3.55/3.74 Exists fun X => Exists fun Y => And (big_q X Y) (big_r Y))
% 3.55/3.74 False
% 3.55/3.74 Clause #3 (by clausification #[2]): Eq (And (And (Exists big_r) (∀ (Y : Iota), big_r Y → Exists (big_q Y))) (∀ (X Y : Iota), big_q X Y → big_q X X)) True
% 3.55/3.74 Clause #4 (by clausification #[2]): Eq (Exists fun X => Exists fun Y => And (big_q X Y) (big_r Y)) False
% 3.55/3.74 Clause #5 (by clausification #[3]): Eq (∀ (X Y : Iota), big_q X Y → big_q X X) True
% 3.55/3.74 Clause #6 (by clausification #[3]): Eq (And (Exists big_r) (∀ (Y : Iota), big_r Y → Exists (big_q Y))) True
% 3.55/3.74 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), big_q a Y → big_q a a) True
% 3.55/3.74 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (big_q a a_1 → big_q a a) True
% 3.55/3.74 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (big_q a a_1) False) (Eq (big_q a a) True)
% 3.55/3.74 Clause #10 (by clausification #[6]): Eq (∀ (Y : Iota), big_r Y → Exists (big_q Y)) True
% 3.55/3.74 Clause #11 (by clausification #[6]): Eq (Exists big_r) True
% 3.55/3.74 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (big_r a → Exists (big_q a)) True
% 3.55/3.74 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (big_r a) False) (Eq (Exists (big_q a)) True)
% 3.55/3.74 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (big_r a) False) (Eq (big_q a (skS.0 0 a a_1)) True)
% 3.55/3.74 Clause #15 (by clausification #[11]): ∀ (a : Iota), Eq (big_r (skS.0 1 a)) True
% 3.55/3.74 Clause #16 (by superposition #[15, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (big_q (skS.0 1 a) (skS.0 0 (skS.0 1 a) a_1)) True)
% 3.55/3.74 Clause #17 (by clausification #[4]): ∀ (a : Iota), Eq (Exists fun Y => And (big_q a Y) (big_r Y)) False
% 3.55/3.74 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (And (big_q a a_1) (big_r a_1)) False
% 3.55/3.74 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (big_q a a_1) False) (Eq (big_r a_1) False)
% 3.55/3.74 Clause #20 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (big_q (skS.0 1 a) (skS.0 0 (skS.0 1 a) a_1)) True
% 3.55/3.74 Clause #21 (by superposition #[20, 9]): ∀ (a : Iota), Or (Eq True False) (Eq (big_q (skS.0 1 a) (skS.0 1 a)) True)
% 3.55/3.74 Clause #23 (by clausification #[21]): ∀ (a : Iota), Eq (big_q (skS.0 1 a) (skS.0 1 a)) True
% 3.55/3.74 Clause #24 (by superposition #[23, 19]): ∀ (a : Iota), Or (Eq True False) (Eq (big_r (skS.0 1 a)) False)
% 3.55/3.74 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (big_r (skS.0 1 a)) False
% 3.55/3.74 Clause #26 (by superposition #[25, 15]): Eq False True
% 3.55/3.74 Clause #27 (by clausification #[26]): False
% 3.55/3.74 SZS output end Proof for theBenchmark.p
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