TSTP Solution File: SWW562_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW562_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 00:26:44 EDT 2023
% Result : Theorem 32.15s 32.32s
% Output : Proof 32.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW562_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.13 % Command : duper %s
% 0.17/0.34 % Computer : n021.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 21:11:58 EDT 2023
% 0.17/0.34 % CPUTime :
% 32.15/32.32 SZS status Theorem for theBenchmark.p
% 32.15/32.32 SZS output start Proof for theBenchmark.p
% 32.15/32.32 Clause #0 (by assumption #[]): Eq
% 32.15/32.32 (wt p
% 32.15/32.32 (map_upds (list char) ty (combk (option ty) (list char) (none ty)) (cons (list char) this pns)
% 32.15/32.32 (cons ty (class d) ts))
% 32.15/32.32 body t)
% 32.15/32.32 True
% 32.15/32.32 Clause #19 (by assumption #[]): Eq
% 32.15/32.32 (∀ (Hb : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val)))))
% 32.15/32.32 (Ta : ty) (Ea : exp (list char)) (Ea1 : fun (list char) (option ty))
% 32.15/32.32 (Pa :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 32.15/32.32 wt Pa Ea1 Ea Ta → wTrt Pa Hb Ea1 Ea Ta)
% 32.15/32.32 True
% 32.15/32.32 Clause #107 (by assumption #[]): Eq
% 32.15/32.32 (Not
% 32.15/32.32 (wTrt p ha
% 32.15/32.32 (map_upds (list char) ty (combk (option ty) (list char) (none ty)) (cons (list char) this pns)
% 32.15/32.32 (cons ty (class d) ts))
% 32.15/32.32 body t))
% 32.15/32.32 True
% 32.15/32.32 Clause #165 (by clausification #[19]): ∀ (a : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.32 Eq
% 32.15/32.32 (∀ (Ta : ty) (Ea : exp (list char)) (Ea1 : fun (list char) (option ty))
% 32.15/32.32 (Pa :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty)
% 32.15/32.32 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 32.15/32.32 wt Pa Ea1 Ea Ta → wTrt Pa a Ea1 Ea Ta)
% 32.15/32.32 True
% 32.15/32.32 Clause #166 (by clausification #[165]): ∀ (a : ty)
% 32.15/32.32 (a_1 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.32 Eq
% 32.15/32.32 (∀ (Ea : exp (list char)) (Ea1 : fun (list char) (option ty))
% 32.15/32.32 (Pa :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty)
% 32.15/32.32 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 32.15/32.32 wt Pa Ea1 Ea a → wTrt Pa a_1 Ea1 Ea a)
% 32.15/32.32 True
% 32.15/32.32 Clause #167 (by clausification #[166]): ∀ (a : exp (list char)) (a_1 : ty)
% 32.15/32.32 (a_2 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.32 Eq
% 32.15/32.32 (∀ (Ea1 : fun (list char) (option ty))
% 32.15/32.32 (Pa :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty)
% 32.15/32.32 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 32.15/32.32 wt Pa Ea1 a a_1 → wTrt Pa a_2 Ea1 a a_1)
% 32.15/32.32 True
% 32.15/32.32 Clause #168 (by clausification #[167]): ∀ (a : fun (list char) (option ty)) (a_1 : exp (list char)) (a_2 : ty)
% 32.15/32.32 (a_3 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.32 Eq
% 32.15/32.32 (∀
% 32.15/32.32 (Pa :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty)
% 32.15/32.32 (product_prod ty (product_prod (list (list char)) (exp (list char))))))))))),
% 32.15/32.32 wt Pa a a_1 a_2 → wTrt Pa a_3 a a_1 a_2)
% 32.15/32.32 True
% 32.15/32.32 Clause #169 (by clausification #[168]): ∀
% 32.15/32.32 (a :
% 32.15/32.32 list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list (product_prod (list char) ty))
% 32.15/32.32 (list
% 32.15/32.32 (product_prod (list char)
% 32.15/32.32 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 32.15/32.35 (a_1 : fun (list char) (option ty)) (a_2 : exp (list char)) (a_3 : ty)
% 32.15/32.35 (a_4 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.35 Eq (wt a a_1 a_2 a_3 → wTrt a a_4 a_1 a_2 a_3) True
% 32.15/32.35 Clause #170 (by clausification #[169]): ∀
% 32.15/32.35 (a :
% 32.15/32.35 list
% 32.15/32.35 (product_prod (list char)
% 32.15/32.35 (product_prod (list char)
% 32.15/32.35 (product_prod (list (product_prod (list char) ty))
% 32.15/32.35 (list
% 32.15/32.35 (product_prod (list char)
% 32.15/32.35 (product_prod (list ty) (product_prod ty (product_prod (list (list char)) (exp (list char)))))))))))
% 32.15/32.35 (a_1 : fun (list char) (option ty)) (a_2 : exp (list char)) (a_3 : ty)
% 32.15/32.35 (a_4 : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.35 Or (Eq (wt a a_1 a_2 a_3) False) (Eq (wTrt a a_4 a_1 a_2 a_3) True)
% 32.15/32.35 Clause #171 (by superposition #[170, 0]): ∀ (a : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.35 Or
% 32.15/32.35 (Eq
% 32.15/32.35 (wTrt p a
% 32.15/32.35 (map_upds (list char) ty (combk (option ty) (list char) (none ty)) (cons (list char) this pns)
% 32.15/32.35 (cons ty (class d) ts))
% 32.15/32.35 body t)
% 32.15/32.35 True)
% 32.15/32.35 (Eq False True)
% 32.15/32.35 Clause #3128 (by clausification #[107]): Eq
% 32.15/32.35 (wTrt p ha
% 32.15/32.35 (map_upds (list char) ty (combk (option ty) (list char) (none ty)) (cons (list char) this pns)
% 32.15/32.35 (cons ty (class d) ts))
% 32.15/32.35 body t)
% 32.15/32.35 False
% 32.15/32.35 Clause #3255 (by clausification #[171]): ∀ (a : fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))),
% 32.15/32.35 Eq
% 32.15/32.35 (wTrt p a
% 32.15/32.35 (map_upds (list char) ty (combk (option ty) (list char) (none ty)) (cons (list char) this pns)
% 32.15/32.35 (cons ty (class d) ts))
% 32.15/32.35 body t)
% 32.15/32.35 True
% 32.15/32.35 Clause #3256 (by superposition #[3255, 3128]): Eq True False
% 32.15/32.35 Clause #3259 (by clausification #[3256]): False
% 32.15/32.35 SZS output end Proof for theBenchmark.p
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