TSTP Solution File: ITP224_1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP224_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 03:39:36 EDT 2023
% Result : Theorem 106.38s 106.55s
% Output : Proof 106.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP224_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 300
% 0.21/0.36 % DateTime : Sun Aug 27 10:28:17 EDT 2023
% 0.21/0.36 % CPUTime :
% 106.38/106.55 SZS status Theorem for theBenchmark.p
% 106.38/106.55 SZS output start Proof for theBenchmark.p
% 106.38/106.55 Clause #0 (by assumption #[]): Eq (Not (pp (aa_nat_bool (vEBT_invar_vebt summary) zero_zero_nat))) True
% 106.38/106.55 Clause #211 (by assumption #[]): Eq
% 106.38/106.55 (∀ (A B : nat),
% 106.38/106.55 Iff (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat A) B))
% 106.38/106.55 (Exists fun C2 => Eq B (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat A) C2)))
% 106.38/106.55 True
% 106.38/106.55 Clause #389 (by assumption #[]): Eq (∀ (A : nat), pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat A) zero_zero_nat) → Eq A zero_zero_nat) True
% 106.38/106.55 Clause #10489 (by assumption #[]): Eq (Eq zero_zero_nat deg) True
% 106.38/106.55 Clause #10491 (by assumption #[]): Eq (pp (aa_nat_bool (vEBT_invar_vebt summary) m)) True
% 106.38/106.55 Clause #10493 (by assumption #[]): Eq (Eq m na) True
% 106.38/106.55 Clause #10494 (by assumption #[]): Eq (Eq deg (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat na) m)) True
% 106.38/106.55 Clause #10498 (by clausification #[0]): Eq (pp (aa_nat_bool (vEBT_invar_vebt summary) zero_zero_nat)) False
% 106.38/106.55 Clause #10507 (by clausification #[10493]): Eq m na
% 106.38/106.55 Clause #10508 (by clausification #[10489]): Eq zero_zero_nat deg
% 106.38/106.55 Clause #10971 (by clausification #[389]): ∀ (a : nat), Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) zero_zero_nat) → Eq a zero_zero_nat) True
% 106.38/106.55 Clause #10972 (by clausification #[10971]): ∀ (a : nat),
% 106.38/106.55 Or (Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) zero_zero_nat)) False) (Eq (Eq a zero_zero_nat) True)
% 106.38/106.55 Clause #10973 (by clausification #[10972]): ∀ (a : nat), Or (Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) zero_zero_nat)) False) (Eq a zero_zero_nat)
% 106.38/106.55 Clause #15037 (by clausification #[211]): ∀ (a : nat),
% 106.38/106.55 Eq
% 106.38/106.55 (∀ (B : nat),
% 106.38/106.55 Iff (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) B))
% 106.38/106.55 (Exists fun C2 => Eq B (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) C2)))
% 106.38/106.55 True
% 106.38/106.55 Clause #15038 (by clausification #[15037]): ∀ (a a_1 : nat),
% 106.38/106.55 Eq
% 106.38/106.55 (Iff (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) a_1))
% 106.38/106.55 (Exists fun C2 => Eq a_1 (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) C2)))
% 106.38/106.55 True
% 106.38/106.55 Clause #15039 (by clausification #[15038]): ∀ (a a_1 : nat),
% 106.38/106.55 Or (Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) a_1)) True)
% 106.38/106.55 (Eq (Exists fun C2 => Eq a_1 (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) C2)) False)
% 106.38/106.55 Clause #15041 (by clausification #[15039]): ∀ (a a_1 a_2 : nat),
% 106.38/106.55 Or (Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) a_1)) True)
% 106.38/106.55 (Eq (Eq a_1 (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) a_2)) False)
% 106.38/106.55 Clause #15042 (by clausification #[15041]): ∀ (a a_1 a_2 : nat),
% 106.38/106.55 Or (Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) a_1)) True)
% 106.38/106.55 (Ne a_1 (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) a_2))
% 106.38/106.55 Clause #15043 (by destructive equality resolution #[15042]): ∀ (a a_1 : nat),
% 106.38/106.55 Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat a) (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat a) a_1)))
% 106.38/106.55 True
% 106.38/106.55 Clause #15626 (by clausification #[10494]): Eq deg (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat na) m)
% 106.38/106.55 Clause #15627 (by forward demodulation #[15626, 10508]): Eq zero_zero_nat (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat na) m)
% 106.38/106.55 Clause #15628 (by forward demodulation #[15627, 10507]): Eq zero_zero_nat (aa_nat_nat (aa_nat_fun_nat_nat plus_plus_nat m) m)
% 106.38/106.55 Clause #15641 (by superposition #[15628, 15043]): Eq (pp (aa_nat_bool (aa_nat_fun_nat_bool ord_less_eq_nat m) zero_zero_nat)) True
% 106.38/106.55 Clause #15651 (by superposition #[15641, 10973]): Or (Eq True False) (Eq m zero_zero_nat)
% 106.38/106.55 Clause #15670 (by clausification #[15651]): Eq m zero_zero_nat
% 106.38/106.55 Clause #15672 (by backward demodulation #[15670, 10491]): Eq (pp (aa_nat_bool (vEBT_invar_vebt summary) zero_zero_nat)) True
% 106.38/106.55 Clause #15676 (by superposition #[15672, 10498]): Eq True False
% 106.38/106.55 Clause #15691 (by clausification #[15676]): False
% 106.38/106.55 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------