TSTP Solution File: SWW569_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW569_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 00:26:45 EDT 2023
% Result : Theorem 46.30s 46.55s
% Output : Proof 46.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW569_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n018.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 : Sun Aug 27 19:56:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 46.30/46.55 SZS status Theorem for theBenchmark.p
% 46.30/46.55 SZS output start Proof for theBenchmark.p
% 46.30/46.55 Clause #0 (by assumption #[]): Eq (wTrt p h_a e e_a nt) True
% 46.30/46.55 Clause #3 (by assumption #[]): Eq
% 46.30/46.55 (∀ (M : Type) (T1 : ty)
% 46.30/46.55 (P2 :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list (product_prod (list char) (product_prod (list ty) (product_prod ty M)))))))),
% 46.30/46.55 widen M P2 T1 T1)
% 46.30/46.55 True
% 46.30/46.55 Clause #7 (by assumption #[]): Eq
% 46.30/46.55 (∀ (Ta : ty) (Da Fa : list char) (Eb : exp (list char)) (Ea : fun (list char) (option ty))
% 46.30/46.55 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.55 (Pa :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.55 wTrt Pa Hb Ea Eb nt → wTrt Pa Hb Ea (fAcc (list char) Eb Fa Da) Ta)
% 46.30/46.55 True
% 46.30/46.55 Clause #97 (by assumption #[]): Eq
% 46.30/46.55 (Not
% 46.30/46.55 (Exists fun T =>
% 46.30/46.55 And (wTrt p h_a e (fAcc (list char) e_a f d) T)
% 46.30/46.55 (widen (product_prod (list (list char)) (exp (list char))) p T t)))
% 46.30/46.55 True
% 46.30/46.55 Clause #104 (by clausification #[3]): ∀ (a : Type),
% 46.30/46.55 Eq
% 46.30/46.55 (∀ (T1 : ty)
% 46.30/46.55 (P2 :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))),
% 46.30/46.55 widen a P2 T1 T1)
% 46.30/46.55 True
% 46.30/46.55 Clause #105 (by clausification #[104]): ∀ (a : Type) (a_1 : ty),
% 46.30/46.55 Eq
% 46.30/46.55 (∀
% 46.30/46.55 (P2 :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))),
% 46.30/46.55 widen a P2 a_1 a_1)
% 46.30/46.55 True
% 46.30/46.55 Clause #106 (by clausification #[105]): ∀ (a : Type)
% 46.30/46.55 (a_1 :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a))))))))
% 46.30/46.55 (a_2 : ty), Eq (widen a a_1 a_2 a_2) True
% 46.30/46.55 Clause #224 (by clausification #[7]): ∀ (a : ty),
% 46.30/46.55 Eq
% 46.30/46.55 (∀ (Da Fa : list char) (Eb : exp (list char)) (Ea : fun (list char) (option ty))
% 46.30/46.55 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.55 (Pa :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list ty)
% 46.30/46.55 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.55 wTrt Pa Hb Ea Eb nt → wTrt Pa Hb Ea (fAcc (list char) Eb Fa Da) a)
% 46.30/46.55 True
% 46.30/46.55 Clause #225 (by clausification #[224]): ∀ (a : list char) (a_1 : ty),
% 46.30/46.55 Eq
% 46.30/46.55 (∀ (Fa : list char) (Eb : exp (list char)) (Ea : fun (list char) (option ty))
% 46.30/46.55 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.55 (Pa :
% 46.30/46.55 list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list (product_prod (list char) ty))
% 46.30/46.55 (list
% 46.30/46.55 (product_prod (list char)
% 46.30/46.55 (product_prod (list ty)
% 46.30/46.55 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.55 wTrt Pa Hb Ea Eb nt → wTrt Pa Hb Ea (fAcc (list char) Eb Fa a) a_1)
% 46.30/46.55 True
% 46.30/46.55 Clause #226 (by clausification #[225]): ∀ (a a_1 : list char) (a_2 : ty),
% 46.30/46.55 Eq
% 46.30/46.55 (∀ (Eb : exp (list char)) (Ea : fun (list char) (option ty))
% 46.30/46.55 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (Pa :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty)
% 46.30/46.56 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.56 wTrt Pa Hb Ea Eb nt → wTrt Pa Hb Ea (fAcc (list char) Eb a a_1) a_2)
% 46.30/46.56 True
% 46.30/46.56 Clause #227 (by clausification #[226]): ∀ (a : exp (list char)) (a_1 a_2 : list char) (a_3 : ty),
% 46.30/46.56 Eq
% 46.30/46.56 (∀ (Ea : fun (list char) (option ty))
% 46.30/46.56 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (Pa :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty)
% 46.30/46.56 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.56 wTrt Pa Hb Ea a nt → wTrt Pa Hb Ea (fAcc (list char) a a_1 a_2) a_3)
% 46.30/46.56 True
% 46.30/46.56 Clause #228 (by clausification #[227]): ∀ (a : fun (list char) (option ty)) (a_1 : exp (list char)) (a_2 a_3 : list char) (a_4 : ty),
% 46.30/46.56 Eq
% 46.30/46.56 (∀ (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (Pa :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty)
% 46.30/46.56 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.56 wTrt Pa Hb a a_1 nt → wTrt Pa Hb a (fAcc (list char) a_1 a_2 a_3) a_4)
% 46.30/46.56 True
% 46.30/46.56 Clause #229 (by clausification #[228]): ∀ (a : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (a_1 : fun (list char) (option ty)) (a_2 : exp (list char)) (a_3 a_4 : list char) (a_5 : ty),
% 46.30/46.56 Eq
% 46.30/46.56 (∀
% 46.30/46.56 (Pa :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty)
% 46.30/46.56 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 46.30/46.56 wTrt Pa a a_1 a_2 nt → wTrt Pa a a_1 (fAcc (list char) a_2 a_3 a_4) a_5)
% 46.30/46.56 True
% 46.30/46.56 Clause #230 (by clausification #[229]): ∀
% 46.30/46.56 (a :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 46.30/46.56 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (a_2 : fun (list char) (option ty)) (a_3 : exp (list char)) (a_4 a_5 : list char) (a_6 : ty),
% 46.30/46.56 Eq (wTrt a a_1 a_2 a_3 nt → wTrt a a_1 a_2 (fAcc (list char) a_3 a_4 a_5) a_6) True
% 46.30/46.56 Clause #231 (by clausification #[230]): ∀
% 46.30/46.56 (a :
% 46.30/46.56 list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list (product_prod (list char) ty))
% 46.30/46.56 (list
% 46.30/46.56 (product_prod (list char)
% 46.30/46.56 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 46.30/46.56 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 46.30/46.56 (a_2 : fun (list char) (option ty)) (a_3 : exp (list char)) (a_4 a_5 : list char) (a_6 : ty),
% 46.30/46.56 Or (Eq (wTrt a a_1 a_2 a_3 nt) False) (Eq (wTrt a a_1 a_2 (fAcc (list char) a_3 a_4 a_5) a_6) True)
% 46.30/46.56 Clause #232 (by superposition #[231, 0]): ∀ (a a_1 : list char) (a_2 : ty), Or (Eq (wTrt p h_a e (fAcc (list char) e_a a a_1) a_2) True) (Eq False True)
% 46.39/46.58 Clause #234 (by clausification #[232]): ∀ (a a_1 : list char) (a_2 : ty), Eq (wTrt p h_a e (fAcc (list char) e_a a a_1) a_2) True
% 46.39/46.58 Clause #1731 (by clausification #[97]): Eq
% 46.39/46.58 (Exists fun T =>
% 46.39/46.58 And (wTrt p h_a e (fAcc (list char) e_a f d) T) (widen (product_prod (list (list char)) (exp (list char))) p T t))
% 46.39/46.58 False
% 46.39/46.58 Clause #1732 (by clausification #[1731]): ∀ (a : ty),
% 46.39/46.58 Eq (And (wTrt p h_a e (fAcc (list char) e_a f d) a) (widen (product_prod (list (list char)) (exp (list char))) p a t))
% 46.39/46.58 False
% 46.39/46.58 Clause #1733 (by clausification #[1732]): ∀ (a : ty),
% 46.39/46.58 Or (Eq (wTrt p h_a e (fAcc (list char) e_a f d) a) False)
% 46.39/46.58 (Eq (widen (product_prod (list (list char)) (exp (list char))) p a t) False)
% 46.39/46.58 Clause #1734 (by superposition #[1733, 234]): ∀ (a : ty), Or (Eq (widen (product_prod (list (list char)) (exp (list char))) p a t) False) (Eq False True)
% 46.39/46.58 Clause #1735 (by clausification #[1734]): ∀ (a : ty), Eq (widen (product_prod (list (list char)) (exp (list char))) p a t) False
% 46.39/46.58 Clause #1737 (by superposition #[1735, 106]): Eq False True
% 46.39/46.58 Clause #1738 (by clausification #[1737]): False
% 46.39/46.58 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------