TSTP Solution File: LCL827_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL827_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 : Thu Aug 31 07:11:26 EDT 2023
% Result : Theorem 3.75s 3.97s
% Output : Proof 3.75s
% 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 : LCL827_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 04:21:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.75/3.97 SZS status Theorem for theBenchmark.p
% 3.75/3.97 SZS output start Proof for theBenchmark.p
% 3.75/3.97 Clause #2 (by assumption #[]): Eq
% 3.75/3.97 (And
% 3.75/3.97 (∀ (E1 : fun nat type) (T4 : type) (U4 : dB) (I1 : nat),
% 3.75/3.97 pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type))
% 3.75/3.97 (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) E1) I1)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 T4) →
% 3.75/3.97 pp (aa dB bool it U4) →
% 3.75/3.97 pp (aa type bool (aa dB (fun type bool) (aa (fun nat type) (fun dB (fun type bool)) typing E1) U4) t) →
% 3.75/3.97 pp (aa dB bool it (aa nat dB (aa dB (fun nat dB) (aa dB (fun dB (fun nat dB)) subst a) U4) I1)))
% 3.75/3.97 (Exists fun X11 =>
% 3.75/3.97 pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 X11)))
% 3.75/3.97 True
% 3.75/3.97 Clause #114 (by assumption #[]): Eq
% 3.75/3.97 (∀ (U : type),
% 3.75/3.97 pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 U) →
% 3.75/3.97 thesis)
% 3.75/3.97 True
% 3.75/3.97 Clause #115 (by assumption #[]): Eq (Not thesis) True
% 3.75/3.97 Clause #116 (by clausification #[115]): Eq thesis False
% 3.75/3.97 Clause #118 (by clausification #[114]): ∀ (a_1 : type),
% 3.75/3.97 Eq
% 3.75/3.97 (pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 a_1) →
% 3.75/3.97 thesis)
% 3.75/3.97 True
% 3.75/3.97 Clause #119 (by clausification #[118]): ∀ (a_1 : type),
% 3.75/3.97 Or
% 3.75/3.97 (Eq
% 3.75/3.97 (pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 a_1))
% 3.75/3.97 False)
% 3.75/3.97 (Eq thesis True)
% 3.75/3.97 Clause #120 (by forward demodulation #[119, 116]): ∀ (a_1 : type),
% 3.75/3.97 Or
% 3.75/3.97 (Eq
% 3.75/3.97 (pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 a_1))
% 3.75/3.97 False)
% 3.75/3.97 (Eq False True)
% 3.75/3.97 Clause #121 (by clausification #[120]): ∀ (a_1 : type),
% 3.75/3.97 Eq
% 3.75/3.97 (pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 a_1))
% 3.75/3.97 False
% 3.75/3.97 Clause #142 (by clausification #[2]): Eq
% 3.75/3.97 (Exists fun X11 =>
% 3.75/3.97 pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 X11))
% 3.75/3.97 True
% 3.75/3.97 Clause #143 (by clausification #[142]): ∀ (a_1 : type),
% 3.75/3.97 Eq
% 3.75/3.97 (pp
% 3.75/3.97 (aa type bool
% 3.75/3.97 (aa dB (fun type bool)
% 3.75/3.97 (aa (fun nat type) (fun dB (fun type bool)) typing
% 3.75/3.97 (aa type (fun nat type)
% 3.75/3.97 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e)
% 3.75/3.97 i)
% 3.75/3.97 t))
% 3.75/3.97 a)
% 3.75/3.97 (skS.0 0 a_1)))
% 3.75/3.97 True
% 3.75/3.97 Clause #144 (by superposition #[143, 121]): Eq True False
% 3.75/3.97 Clause #145 (by clausification #[144]): False
% 3.75/3.97 SZS output end Proof for theBenchmark.p
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