TSTP Solution File: SWW571_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW571_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 : Fri Sep 1 00:26:46 EDT 2023
% Result : Theorem 48.84s 49.05s
% Output : Proof 48.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW571_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.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 : Sun Aug 27 21:53:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 48.84/49.05 SZS status Theorem for theBenchmark.p
% 48.84/49.05 SZS output start Proof for theBenchmark.p
% 48.84/49.05 Clause #0 (by assumption #[]): Eq (Eq t void) True
% 48.84/49.05 Clause #1 (by assumption #[]): Eq (wTrt p h_a e e_2 t_2) True
% 48.84/49.05 Clause #2 (by assumption #[]): Eq (wTrt p h_a e e_a nt) True
% 48.84/49.05 Clause #7 (by assumption #[]): Eq
% 48.84/49.05 (∀ (M : Type) (T2 : ty)
% 48.84/49.05 (P2 :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list (product_prod (list char) (product_prod (list ty) (product_prod ty M)))))))),
% 48.84/49.05 widen M P2 T2 T2)
% 48.84/49.05 True
% 48.84/49.05 Clause #11 (by assumption #[]): Eq
% 48.84/49.05 (∀ (Da Fa : list char) (T_2 : ty) (E_2 E_1 : exp (list char)) (Ea : fun (list char) (option ty))
% 48.84/49.05 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.05 (Pa :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.05 wTrt Pa Hb Ea E_1 nt → wTrt Pa Hb Ea E_2 T_2 → wTrt Pa Hb Ea (fAss (list char) E_1 Fa Da E_2) void)
% 48.84/49.05 True
% 48.84/49.05 Clause #98 (by assumption #[]): Eq
% 48.84/49.05 (Not
% 48.84/49.05 (Exists fun T =>
% 48.84/49.05 And (wTrt p h_a e (fAss (list char) e_a f d e_2) T)
% 48.84/49.05 (widen (product_prod (list (list char)) (exp (list char))) p T t)))
% 48.84/49.05 True
% 48.84/49.05 Clause #102 (by clausification #[0]): Eq t void
% 48.84/49.05 Clause #105 (by clausification #[7]): ∀ (a : Type),
% 48.84/49.05 Eq
% 48.84/49.05 (∀ (T2 : ty)
% 48.84/49.05 (P2 :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))),
% 48.84/49.05 widen a P2 T2 T2)
% 48.84/49.05 True
% 48.84/49.05 Clause #106 (by clausification #[105]): ∀ (a : Type) (a_1 : ty),
% 48.84/49.05 Eq
% 48.84/49.05 (∀
% 48.84/49.05 (P2 :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))),
% 48.84/49.05 widen a P2 a_1 a_1)
% 48.84/49.05 True
% 48.84/49.05 Clause #107 (by clausification #[106]): ∀ (a : Type)
% 48.84/49.05 (a_1 :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a))))))))
% 48.84/49.05 (a_2 : ty), Eq (widen a a_1 a_2 a_2) True
% 48.84/49.05 Clause #165 (by clausification #[11]): ∀ (a : list char),
% 48.84/49.05 Eq
% 48.84/49.05 (∀ (Fa : list char) (T_2 : ty) (E_2 E_1 : exp (list char)) (Ea : fun (list char) (option ty))
% 48.84/49.05 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.05 (Pa :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list ty)
% 48.84/49.05 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.05 wTrt Pa Hb Ea E_1 nt → wTrt Pa Hb Ea E_2 T_2 → wTrt Pa Hb Ea (fAss (list char) E_1 Fa a E_2) void)
% 48.84/49.05 True
% 48.84/49.05 Clause #166 (by clausification #[165]): ∀ (a a_1 : list char),
% 48.84/49.05 Eq
% 48.84/49.05 (∀ (T_2 : ty) (E_2 E_1 : exp (list char)) (Ea : fun (list char) (option ty))
% 48.84/49.05 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.05 (Pa :
% 48.84/49.05 list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list (product_prod (list char) ty))
% 48.84/49.05 (list
% 48.84/49.05 (product_prod (list char)
% 48.84/49.05 (product_prod (list ty)
% 48.84/49.05 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.05 wTrt Pa Hb Ea E_1 nt → wTrt Pa Hb Ea E_2 T_2 → wTrt Pa Hb Ea (fAss (list char) E_1 a a_1 E_2) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #167 (by clausification #[166]): ∀ (a : ty) (a_1 a_2 : list char),
% 48.84/49.07 Eq
% 48.84/49.07 (∀ (E_2 E_1 : exp (list char)) (Ea : fun (list char) (option ty))
% 48.84/49.07 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.07 (Pa :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list ty)
% 48.84/49.07 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.07 wTrt Pa Hb Ea E_1 nt → wTrt Pa Hb Ea E_2 a → wTrt Pa Hb Ea (fAss (list char) E_1 a_1 a_2 E_2) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #168 (by clausification #[167]): ∀ (a : exp (list char)) (a_1 : ty) (a_2 a_3 : list char),
% 48.84/49.07 Eq
% 48.84/49.07 (∀ (E_1 : exp (list char)) (Ea : fun (list char) (option ty))
% 48.84/49.07 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.07 (Pa :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list ty)
% 48.84/49.07 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.07 wTrt Pa Hb Ea E_1 nt → wTrt Pa Hb Ea a a_1 → wTrt Pa Hb Ea (fAss (list char) E_1 a_2 a_3 a) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #169 (by clausification #[168]): ∀ (a a_1 : exp (list char)) (a_2 : ty) (a_3 a_4 : list char),
% 48.84/49.07 Eq
% 48.84/49.07 (∀ (Ea : fun (list char) (option ty))
% 48.84/49.07 (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.07 (Pa :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list ty)
% 48.84/49.07 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.07 wTrt Pa Hb Ea a nt → wTrt Pa Hb Ea a_1 a_2 → wTrt Pa Hb Ea (fAss (list char) a a_3 a_4 a_1) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #170 (by clausification #[169]): ∀ (a : fun (list char) (option ty)) (a_1 a_2 : exp (list char)) (a_3 : ty) (a_4 a_5 : list char),
% 48.84/49.07 Eq
% 48.84/49.07 (∀ (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.07 (Pa :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list ty)
% 48.84/49.07 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.07 wTrt Pa Hb a a_1 nt → wTrt Pa Hb a a_2 a_3 → wTrt Pa Hb a (fAss (list char) a_1 a_4 a_5 a_2) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #171 (by clausification #[170]): ∀ (a : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.84/49.07 (a_1 : fun (list char) (option ty)) (a_2 a_3 : exp (list char)) (a_4 : ty) (a_5 a_6 : list char),
% 48.84/49.07 Eq
% 48.84/49.07 (∀
% 48.84/49.07 (Pa :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list ty)
% 48.84/49.07 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 48.84/49.07 wTrt Pa a a_1 a_2 nt → wTrt Pa a a_1 a_3 a_4 → wTrt Pa a a_1 (fAss (list char) a_2 a_5 a_6 a_3) void)
% 48.84/49.07 True
% 48.84/49.07 Clause #172 (by clausification #[171]): ∀
% 48.84/49.07 (a :
% 48.84/49.07 list
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list char)
% 48.84/49.07 (product_prod (list (product_prod (list char) ty))
% 48.84/49.07 (list
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 48.92/49.10 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.92/49.10 (a_2 : fun (list char) (option ty)) (a_3 a_4 : exp (list char)) (a_5 : ty) (a_6 a_7 : list char),
% 48.92/49.10 Eq (wTrt a a_1 a_2 a_3 nt → wTrt a a_1 a_2 a_4 a_5 → wTrt a a_1 a_2 (fAss (list char) a_3 a_6 a_7 a_4) void) True
% 48.92/49.10 Clause #173 (by clausification #[172]): ∀
% 48.92/49.10 (a :
% 48.92/49.10 list
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list (product_prod (list char) ty))
% 48.92/49.10 (list
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 48.92/49.10 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.92/49.10 (a_2 : fun (list char) (option ty)) (a_3 a_4 : exp (list char)) (a_5 : ty) (a_6 a_7 : list char),
% 48.92/49.10 Or (Eq (wTrt a a_1 a_2 a_3 nt) False)
% 48.92/49.10 (Eq (wTrt a a_1 a_2 a_4 a_5 → wTrt a a_1 a_2 (fAss (list char) a_3 a_6 a_7 a_4) void) True)
% 48.92/49.10 Clause #174 (by clausification #[173]): ∀
% 48.92/49.10 (a :
% 48.92/49.10 list
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list (product_prod (list char) ty))
% 48.92/49.10 (list
% 48.92/49.10 (product_prod (list char)
% 48.92/49.10 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 48.92/49.10 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 48.92/49.10 (a_2 : fun (list char) (option ty)) (a_3 a_4 : exp (list char)) (a_5 : ty) (a_6 a_7 : list char),
% 48.92/49.10 Or (Eq (wTrt a a_1 a_2 a_3 nt) False)
% 48.92/49.10 (Or (Eq (wTrt a a_1 a_2 a_4 a_5) False) (Eq (wTrt a a_1 a_2 (fAss (list char) a_3 a_6 a_7 a_4) void) True))
% 48.92/49.10 Clause #175 (by superposition #[174, 2]): ∀ (a : exp (list char)) (a_1 : ty) (a_2 a_3 : list char),
% 48.92/49.10 Or (Eq (wTrt p h_a e a a_1) False) (Or (Eq (wTrt p h_a e (fAss (list char) e_a a_2 a_3 a) void) True) (Eq False True))
% 48.92/49.10 Clause #782 (by clausification #[175]): ∀ (a : exp (list char)) (a_1 : ty) (a_2 a_3 : list char),
% 48.92/49.10 Or (Eq (wTrt p h_a e a a_1) False) (Eq (wTrt p h_a e (fAss (list char) e_a a_2 a_3 a) void) True)
% 48.92/49.10 Clause #784 (by superposition #[782, 1]): ∀ (a a_1 : list char), Or (Eq (wTrt p h_a e (fAss (list char) e_a a a_1 e_2) void) True) (Eq False True)
% 48.92/49.10 Clause #791 (by clausification #[784]): ∀ (a a_1 : list char), Eq (wTrt p h_a e (fAss (list char) e_a a a_1 e_2) void) True
% 48.92/49.10 Clause #1571 (by clausification #[98]): Eq
% 48.92/49.10 (Exists fun T =>
% 48.92/49.10 And (wTrt p h_a e (fAss (list char) e_a f d e_2) T)
% 48.92/49.10 (widen (product_prod (list (list char)) (exp (list char))) p T t))
% 48.92/49.10 False
% 48.92/49.10 Clause #1572 (by clausification #[1571]): ∀ (a : ty),
% 48.92/49.10 Eq
% 48.92/49.10 (And (wTrt p h_a e (fAss (list char) e_a f d e_2) a)
% 48.92/49.10 (widen (product_prod (list (list char)) (exp (list char))) p a t))
% 48.92/49.10 False
% 48.92/49.10 Clause #1573 (by clausification #[1572]): ∀ (a : ty),
% 48.92/49.10 Or (Eq (wTrt p h_a e (fAss (list char) e_a f d e_2) a) False)
% 48.92/49.10 (Eq (widen (product_prod (list (list char)) (exp (list char))) p a t) False)
% 48.92/49.10 Clause #1574 (by forward demodulation #[1573, 102]): ∀ (a : ty),
% 48.92/49.10 Or (Eq (wTrt p h_a e (fAss (list char) e_a f d e_2) a) False)
% 48.92/49.10 (Eq (widen (product_prod (list (list char)) (exp (list char))) p a void) False)
% 48.92/49.10 Clause #1575 (by superposition #[1574, 791]): Or (Eq (widen (product_prod (list (list char)) (exp (list char))) p void void) False) (Eq False True)
% 48.92/49.10 Clause #1576 (by clausification #[1575]): Eq (widen (product_prod (list (list char)) (exp (list char))) p void void) False
% 48.92/49.10 Clause #1577 (by superposition #[1576, 107]): Eq False True
% 48.92/49.10 Clause #1578 (by clausification #[1577]): False
% 48.92/49.10 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------