TSTP Solution File: SYN360^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN360^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 02:11:25 EDT 2023
% Result : Theorem 3.49s 3.68s
% Output : Proof 3.49s
% 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 : SYN360^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 22:08:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.49/3.68 SZS status Theorem for theBenchmark.p
% 3.49/3.68 SZS output start Proof for theBenchmark.p
% 3.49/3.68 Clause #0 (by assumption #[]): Eq
% 3.49/3.68 (Not
% 3.49/3.68 (And (∀ (Xx : Iota), (Exists fun Xy => c_less_ Xx Xy) → ∀ (Xy : Iota), cQ Xx Xy)
% 3.49/3.68 (∀ (Xz : Iota), Exists fun Xy => c_less_ Xz Xy) →
% 3.49/3.68 ∀ (Xy Xx : Iota), cQ Xx Xy))
% 3.49/3.68 True
% 3.49/3.68 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.49/3.68 (Not
% 3.49/3.68 (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz)) →
% 3.49/3.68 ∀ (Xy Xx : Iota), cQ Xx Xy))
% 3.49/3.68 True
% 3.49/3.68 Clause #2 (by clausification #[1]): Eq
% 3.49/3.68 (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz)) →
% 3.49/3.68 ∀ (Xy Xx : Iota), cQ Xx Xy)
% 3.49/3.68 False
% 3.49/3.68 Clause #3 (by clausification #[2]): Eq (And (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) (∀ (Xz : Iota), Exists (c_less_ Xz))) True
% 3.49/3.68 Clause #4 (by clausification #[2]): Eq (∀ (Xy Xx : Iota), cQ Xx Xy) False
% 3.49/3.68 Clause #5 (by clausification #[3]): Eq (∀ (Xz : Iota), Exists (c_less_ Xz)) True
% 3.49/3.68 Clause #6 (by clausification #[3]): Eq (∀ (Xx : Iota), Exists (c_less_ Xx) → ∀ (Xy : Iota), cQ Xx Xy) True
% 3.49/3.68 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (Exists (c_less_ a)) True
% 3.49/3.68 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (c_less_ a (skS.0 0 a a_1)) True
% 3.49/3.68 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (Xx : Iota), cQ Xx (skS.0 1 a))) True
% 3.49/3.68 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Xx : Iota), cQ Xx (skS.0 1 a)) False
% 3.49/3.68 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Not (cQ (skS.0 2 a a_1) (skS.0 1 a))) True
% 3.49/3.68 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 2 a a_1) (skS.0 1 a)) False
% 3.49/3.68 Clause #13 (by clausification #[6]): ∀ (a : Iota), Eq (Exists (c_less_ a) → ∀ (Xy : Iota), cQ a Xy) True
% 3.49/3.68 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (Exists (c_less_ a)) False) (Eq (∀ (Xy : Iota), cQ a Xy) True)
% 3.49/3.68 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xy : Iota), cQ a Xy) True) (Eq (c_less_ a a_1) False)
% 3.49/3.68 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (c_less_ a a_1) False) (Eq (cQ a a_2) True)
% 3.49/3.68 Clause #17 (by superposition #[16, 8]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) True) (Eq False True)
% 3.49/3.68 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (cQ a a_1) True
% 3.49/3.68 Clause #19 (by superposition #[18, 12]): Eq True False
% 3.49/3.68 Clause #20 (by clausification #[19]): False
% 3.49/3.68 SZS output end Proof for theBenchmark.p
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