TSTP Solution File: ALG286^5 by Duper---1.0
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% File : Duper---1.0
% Problem : ALG286^5 : 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 : Wed Aug 30 16:11:59 EDT 2023
% Result : Theorem 3.67s 3.87s
% Output : Proof 3.67s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG286^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 05:54:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.67/3.87 SZS status Theorem for theBenchmark.p
% 3.67/3.87 SZS output start Proof for theBenchmark.p
% 3.67/3.87 Clause #0 (by assumption #[]): Eq
% 3.67/3.87 (Not
% 3.67/3.87 (And
% 3.67/3.87 (And (And (And (Eq (cL cZ) cZ) (Eq (cR cZ) cZ)) (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0))
% 3.67/3.87 (∀ (Xx0 Xy0 : a), Eq (cR (cP Xx0 Xy0)) Xy0))
% 3.67/3.87 (∀ (Xt : a), Iff (Ne Xt cZ) (Eq Xt (cP (cL Xt) (cR Xt)))) →
% 3.67/3.87 Eq u (cP x y) → Ne u cZ))
% 3.67/3.87 True
% 3.67/3.87 Clause #1 (by clausification #[0]): Eq
% 3.67/3.87 (And
% 3.67/3.87 (And (And (And (Eq (cL cZ) cZ) (Eq (cR cZ) cZ)) (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0))
% 3.67/3.87 (∀ (Xx0 Xy0 : a), Eq (cR (cP Xx0 Xy0)) Xy0))
% 3.67/3.87 (∀ (Xt : a), Iff (Ne Xt cZ) (Eq Xt (cP (cL Xt) (cR Xt)))) →
% 3.67/3.87 Eq u (cP x y) → Ne u cZ)
% 3.67/3.87 False
% 3.67/3.87 Clause #2 (by clausification #[1]): Eq
% 3.67/3.87 (And
% 3.67/3.87 (And (And (And (Eq (cL cZ) cZ) (Eq (cR cZ) cZ)) (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0))
% 3.67/3.87 (∀ (Xx0 Xy0 : a), Eq (cR (cP Xx0 Xy0)) Xy0))
% 3.67/3.87 (∀ (Xt : a), Iff (Ne Xt cZ) (Eq Xt (cP (cL Xt) (cR Xt)))))
% 3.67/3.87 True
% 3.67/3.87 Clause #3 (by clausification #[1]): Eq (Eq u (cP x y) → Ne u cZ) False
% 3.67/3.87 Clause #4 (by clausification #[2]): Eq (∀ (Xt : a), Iff (Ne Xt cZ) (Eq Xt (cP (cL Xt) (cR Xt)))) True
% 3.67/3.87 Clause #5 (by clausification #[2]): Eq
% 3.67/3.87 (And (And (And (Eq (cL cZ) cZ) (Eq (cR cZ) cZ)) (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0))
% 3.67/3.87 (∀ (Xx0 Xy0 : a), Eq (cR (cP Xx0 Xy0)) Xy0))
% 3.67/3.87 True
% 3.67/3.87 Clause #6 (by clausification #[4]): ∀ (a_1 : a), Eq (Iff (Ne a_1 cZ) (Eq a_1 (cP (cL a_1) (cR a_1)))) True
% 3.67/3.87 Clause #7 (by clausification #[6]): ∀ (a_1 : a), Or (Eq (Ne a_1 cZ) True) (Eq (Eq a_1 (cP (cL a_1) (cR a_1))) False)
% 3.67/3.87 Clause #9 (by clausification #[7]): ∀ (a_1 : a), Or (Eq (Eq a_1 (cP (cL a_1) (cR a_1))) False) (Ne a_1 cZ)
% 3.67/3.87 Clause #10 (by clausification #[9]): ∀ (a_1 : a), Or (Ne a_1 cZ) (Ne a_1 (cP (cL a_1) (cR a_1)))
% 3.67/3.87 Clause #11 (by destructive equality resolution #[10]): Ne cZ (cP (cL cZ) (cR cZ))
% 3.67/3.87 Clause #12 (by clausification #[3]): Eq (Eq u (cP x y)) True
% 3.67/3.87 Clause #13 (by clausification #[3]): Eq (Ne u cZ) False
% 3.67/3.87 Clause #14 (by clausification #[12]): Eq u (cP x y)
% 3.67/3.87 Clause #15 (by clausification #[13]): Eq u cZ
% 3.67/3.87 Clause #16 (by backward demodulation #[15, 14]): Eq cZ (cP x y)
% 3.67/3.87 Clause #23 (by clausification #[5]): Eq (∀ (Xx0 Xy0 : a), Eq (cR (cP Xx0 Xy0)) Xy0) True
% 3.67/3.87 Clause #24 (by clausification #[5]): Eq (And (And (Eq (cL cZ) cZ) (Eq (cR cZ) cZ)) (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0)) True
% 3.67/3.87 Clause #25 (by clausification #[23]): ∀ (a_1 : a), Eq (∀ (Xy0 : a), Eq (cR (cP a_1 Xy0)) Xy0) True
% 3.67/3.87 Clause #26 (by clausification #[25]): ∀ (a_1 a_2 : a), Eq (Eq (cR (cP a_1 a_2)) a_2) True
% 3.67/3.87 Clause #27 (by clausification #[26]): ∀ (a_1 a_2 : a), Eq (cR (cP a_1 a_2)) a_2
% 3.67/3.87 Clause #29 (by superposition #[27, 16]): Eq (cR cZ) y
% 3.67/3.87 Clause #30 (by backward demodulation #[29, 11]): Ne cZ (cP (cL cZ) y)
% 3.67/3.87 Clause #115 (by clausification #[24]): Eq (∀ (Xx0 Xy0 : a), Eq (cL (cP Xx0 Xy0)) Xx0) True
% 3.67/3.87 Clause #117 (by clausification #[115]): ∀ (a_1 : a), Eq (∀ (Xy0 : a), Eq (cL (cP a_1 Xy0)) a_1) True
% 3.67/3.87 Clause #118 (by clausification #[117]): ∀ (a_1 a_2 : a), Eq (Eq (cL (cP a_1 a_2)) a_1) True
% 3.67/3.87 Clause #119 (by clausification #[118]): ∀ (a_1 a_2 : a), Eq (cL (cP a_1 a_2)) a_1
% 3.67/3.87 Clause #127 (by superposition #[119, 16]): Eq (cL cZ) x
% 3.67/3.87 Clause #130 (by backward demodulation #[127, 30]): Ne cZ (cP x y)
% 3.67/3.87 Clause #139 (by forward demodulation #[130, 16]): Ne cZ cZ
% 3.67/3.87 Clause #140 (by eliminate resolved literals #[139]): False
% 3.67/3.87 SZS output end Proof for theBenchmark.p
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