TSTP Solution File: NUM925+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% 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 : Thu Aug 31 10:58:16 EDT 2023
% Result : Theorem 212.02s 212.49s
% Output : Proof 212.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.11 % Command : duper %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Aug 25 13:40:43 EDT 2023
% 0.10/0.32 % CPUTime :
% 212.02/212.49 SZS status Theorem for theBenchmark.p
% 212.02/212.49 SZS output start Proof for theBenchmark.p
% 212.02/212.49 Clause #5 (by assumption #[]): Eq
% 212.02/212.49 (hBOOL
% 212.02/212.49 (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int)
% 212.02/212.49 (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n))))
% 212.02/212.49 True
% 212.02/212.49 Clause #30 (by assumption #[]): Eq (Eq (number_number_of_int (bit1 pls)) one_one_int) True
% 212.02/212.49 Clause #65 (by assumption #[]): Eq (∀ (Z_2 W : Iota), Eq (hAPP_int_int (plus_plus_int Z_2) W) (hAPP_int_int (plus_plus_int W) Z_2)) True
% 212.02/212.49 Clause #76 (by assumption #[]): Eq (Not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) zero_zero_int))) True
% 212.02/212.49 Clause #95 (by assumption #[]): Eq (Eq pls zero_zero_int) True
% 212.02/212.49 Clause #164 (by assumption #[]): Eq (∀ (K : Iota), Eq (number_number_of_int K) K) True
% 212.02/212.49 Clause #210 (by assumption #[]): Eq (∀ (N_23 A_62 : Iota), Ne A_62 zero_zero_int → Ne (hAPP_nat_int (power_power_int A_62) N_23) zero_zero_int) True
% 212.02/212.49 Clause #486 (by assumption #[]): Eq (∀ (K : Iota), Eq (succ K) (hAPP_int_int (plus_plus_int K) one_one_int)) True
% 212.02/212.49 Clause #598 (by assumption #[]): Eq
% 212.02/212.49 (Not
% 212.02/212.49 (Ne
% 212.02/212.49 (hAPP_nat_int (power_power_int (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n)))
% 212.02/212.49 (number_number_of_nat (bit0 (bit1 pls))))
% 212.02/212.49 zero_zero_int))
% 212.02/212.49 True
% 212.02/212.49 Clause #606 (by clausification #[95]): Eq pls zero_zero_int
% 212.02/212.49 Clause #624 (by forward demodulation #[5, 606]): Eq
% 212.02/212.49 (hBOOL
% 212.02/212.49 (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls)
% 212.02/212.49 (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n))))
% 212.02/212.49 True
% 212.02/212.49 Clause #655 (by clausification #[30]): Eq (number_number_of_int (bit1 pls)) one_one_int
% 212.02/212.49 Clause #666 (by clausification #[164]): ∀ (a : Iota), Eq (Eq (number_number_of_int a) a) True
% 212.02/212.49 Clause #667 (by clausification #[666]): ∀ (a : Iota), Eq (number_number_of_int a) a
% 212.02/212.49 Clause #668 (by superposition #[667, 655]): Eq (bit1 pls) one_one_int
% 212.02/212.49 Clause #726 (by clausification #[76]): Eq (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) zero_zero_int)) False
% 212.02/212.49 Clause #727 (by forward demodulation #[726, 606]): Eq (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls)) False
% 212.02/212.49 Clause #2427 (by clausification #[486]): ∀ (a : Iota), Eq (Eq (succ a) (hAPP_int_int (plus_plus_int a) one_one_int)) True
% 212.02/212.49 Clause #2428 (by clausification #[2427]): ∀ (a : Iota), Eq (succ a) (hAPP_int_int (plus_plus_int a) one_one_int)
% 212.02/212.49 Clause #2671 (by clausification #[65]): ∀ (a : Iota), Eq (∀ (W : Iota), Eq (hAPP_int_int (plus_plus_int a) W) (hAPP_int_int (plus_plus_int W) a)) True
% 212.02/212.49 Clause #2672 (by clausification #[2671]): ∀ (a a_1 : Iota), Eq (Eq (hAPP_int_int (plus_plus_int a) a_1) (hAPP_int_int (plus_plus_int a_1) a)) True
% 212.02/212.49 Clause #2673 (by clausification #[2672]): ∀ (a a_1 : Iota), Eq (hAPP_int_int (plus_plus_int a) a_1) (hAPP_int_int (plus_plus_int a_1) a)
% 212.02/212.49 Clause #2676 (by superposition #[2673, 2428]): ∀ (a : Iota), Eq (succ a) (hAPP_int_int (plus_plus_int one_one_int) a)
% 212.02/212.49 Clause #2690 (by backward demodulation #[2676, 624]): Eq (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) (succ (hAPP_nat_int semiri1621563631at_int n)))) True
% 212.02/212.49 Clause #13475 (by clausification #[210]): ∀ (a : Iota),
% 212.02/212.49 Eq (∀ (A_62 : Iota), Ne A_62 zero_zero_int → Ne (hAPP_nat_int (power_power_int A_62) a) zero_zero_int) True
% 212.02/212.49 Clause #13476 (by clausification #[13475]): ∀ (a a_1 : Iota), Eq (Ne a zero_zero_int → Ne (hAPP_nat_int (power_power_int a) a_1) zero_zero_int) True
% 212.02/212.49 Clause #13477 (by clausification #[13476]): ∀ (a a_1 : Iota), Or (Eq (Ne a zero_zero_int) False) (Eq (Ne (hAPP_nat_int (power_power_int a) a_1) zero_zero_int) True)
% 212.02/212.49 Clause #13478 (by clausification #[13477]): ∀ (a a_1 : Iota), Or (Eq (Ne (hAPP_nat_int (power_power_int a) a_1) zero_zero_int) True) (Eq a zero_zero_int)
% 212.02/212.49 Clause #13479 (by clausification #[13478]): ∀ (a a_1 : Iota), Or (Eq a zero_zero_int) (Ne (hAPP_nat_int (power_power_int a) a_1) zero_zero_int)
% 212.02/212.49 Clause #13480 (by forward demodulation #[13479, 606]): ∀ (a a_1 : Iota), Or (Eq a pls) (Ne (hAPP_nat_int (power_power_int a) a_1) zero_zero_int)
% 212.26/212.73 Clause #13481 (by forward demodulation #[13480, 606]): ∀ (a a_1 : Iota), Or (Eq a pls) (Ne (hAPP_nat_int (power_power_int a) a_1) pls)
% 212.26/212.73 Clause #38108 (by clausification #[598]): Eq
% 212.26/212.73 (Ne
% 212.26/212.73 (hAPP_nat_int (power_power_int (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n)))
% 212.26/212.73 (number_number_of_nat (bit0 (bit1 pls))))
% 212.26/212.73 zero_zero_int)
% 212.26/212.73 False
% 212.26/212.73 Clause #38109 (by clausification #[38108]): Eq
% 212.26/212.73 (hAPP_nat_int (power_power_int (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n)))
% 212.26/212.73 (number_number_of_nat (bit0 (bit1 pls))))
% 212.26/212.73 zero_zero_int
% 212.26/212.73 Clause #38110 (by forward demodulation #[38109, 668]): Eq
% 212.26/212.73 (hAPP_nat_int (power_power_int (hAPP_int_int (plus_plus_int one_one_int) (hAPP_nat_int semiri1621563631at_int n)))
% 212.26/212.73 (number_number_of_nat (bit0 one_one_int)))
% 212.26/212.73 zero_zero_int
% 212.26/212.73 Clause #38111 (by forward demodulation #[38110, 2676]): Eq
% 212.26/212.73 (hAPP_nat_int (power_power_int (succ (hAPP_nat_int semiri1621563631at_int n)))
% 212.26/212.73 (number_number_of_nat (bit0 one_one_int)))
% 212.26/212.73 zero_zero_int
% 212.26/212.73 Clause #38112 (by forward demodulation #[38111, 606]): Eq
% 212.26/212.73 (hAPP_nat_int (power_power_int (succ (hAPP_nat_int semiri1621563631at_int n)))
% 212.26/212.73 (number_number_of_nat (bit0 one_one_int)))
% 212.26/212.73 pls
% 212.26/212.73 Clause #38126 (by superposition #[38112, 13481]): Or (Eq (succ (hAPP_nat_int semiri1621563631at_int n)) pls) (Ne pls pls)
% 212.26/212.73 Clause #38269 (by eliminate resolved literals #[38126]): Eq (succ (hAPP_nat_int semiri1621563631at_int n)) pls
% 212.26/212.73 Clause #38270 (by backward demodulation #[38269, 2690]): Eq (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls)) True
% 212.26/212.73 Clause #38833 (by superposition #[38270, 727]): Eq True False
% 212.26/212.73 Clause #38887 (by clausification #[38833]): False
% 212.26/212.73 SZS output end Proof for theBenchmark.p
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