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 : n017.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 129.70s 129.85s
% Output : Proof 129.96s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM925^2 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:37:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 129.70/129.85 SZS status Theorem for theBenchmark.p
% 129.70/129.85 SZS output start Proof for theBenchmark.p
% 129.70/129.85 Clause #18 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True
% 129.70/129.85 Clause #25 (by assumption #[]): Eq (Eq (number_number_of_int (bit1 pls)) one_one_int) True
% 129.70/129.85 Clause #60 (by assumption #[]): Eq (∀ (Z_2 W : int), Eq (plus_plus_int Z_2 W) (plus_plus_int W Z_2)) True
% 129.70/129.85 Clause #90 (by assumption #[]): Eq (Eq pls zero_zero_int) True
% 129.70/129.85 Clause #159 (by assumption #[]): Eq (∀ (K : int), Eq (number_number_of_int K) K) True
% 129.70/129.85 Clause #205 (by assumption #[]): Eq (∀ (N_27 : nat) (A_75 : int), Ne A_75 zero_zero_int → Ne (power_power_int A_75 N_27) zero_zero_int) True
% 129.70/129.85 Clause #414 (by assumption #[]): Eq (Not (ord_less_eq_int one_one_int zero_zero_int)) True
% 129.70/129.85 Clause #439 (by assumption #[]): Eq
% 129.70/129.85 (∀ (W Z_2 : int),
% 129.70/129.85 Iff (ord_less_eq_int W Z_2) (Exists fun N_1 => Eq Z_2 (plus_plus_int W (semiri1621563631at_int N_1))))
% 129.70/129.85 True
% 129.70/129.85 Clause #481 (by assumption #[]): Eq (∀ (K : int), Eq (succ K) (plus_plus_int K one_one_int)) True
% 129.70/129.85 Clause #593 (by assumption #[]): Eq
% 129.70/129.85 (Not
% 129.70/129.85 (Ne
% 129.70/129.85 (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 129.70/129.85 zero_zero_int))
% 129.70/129.85 True
% 129.70/129.85 Clause #622 (by clausification #[90]): Eq pls zero_zero_int
% 129.70/129.85 Clause #643 (by clausification #[414]): Eq (ord_less_eq_int one_one_int zero_zero_int) False
% 129.70/129.85 Clause #644 (by forward demodulation #[643, 622]): Eq (ord_less_eq_int one_one_int pls) False
% 129.70/129.85 Clause #745 (by clausification #[25]): Eq (number_number_of_int (bit1 pls)) one_one_int
% 129.70/129.85 Clause #770 (by clausification #[159]): ∀ (a : int), Eq (Eq (number_number_of_int a) a) True
% 129.70/129.85 Clause #771 (by clausification #[770]): ∀ (a : int), Eq (number_number_of_int a) a
% 129.70/129.85 Clause #775 (by superposition #[771, 745]): Eq (bit1 pls) one_one_int
% 129.70/129.85 Clause #796 (by clausification #[18]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))
% 129.70/129.85 Clause #797 (by forward demodulation #[796, 775]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 one_one_int))
% 129.70/129.85 Clause #2074 (by clausification #[60]): ∀ (a : int), Eq (∀ (W : int), Eq (plus_plus_int a W) (plus_plus_int W a)) True
% 129.70/129.85 Clause #2075 (by clausification #[2074]): ∀ (a a_1 : int), Eq (Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)) True
% 129.70/129.85 Clause #2076 (by clausification #[2075]): ∀ (a a_1 : int), Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)
% 129.70/129.85 Clause #7979 (by clausification #[205]): ∀ (a : nat), Eq (∀ (A_75 : int), Ne A_75 zero_zero_int → Ne (power_power_int A_75 a) zero_zero_int) True
% 129.70/129.85 Clause #7980 (by clausification #[7979]): ∀ (a : int) (a_1 : nat), Eq (Ne a zero_zero_int → Ne (power_power_int a a_1) zero_zero_int) True
% 129.70/129.85 Clause #7981 (by clausification #[7980]): ∀ (a : int) (a_1 : nat), Or (Eq (Ne a zero_zero_int) False) (Eq (Ne (power_power_int a a_1) zero_zero_int) True)
% 129.70/129.85 Clause #7982 (by clausification #[7981]): ∀ (a : int) (a_1 : nat), Or (Eq (Ne (power_power_int a a_1) zero_zero_int) True) (Eq a zero_zero_int)
% 129.70/129.85 Clause #7983 (by clausification #[7982]): ∀ (a : int) (a_1 : nat), Or (Eq a zero_zero_int) (Ne (power_power_int a a_1) zero_zero_int)
% 129.70/129.85 Clause #7984 (by forward demodulation #[7983, 622]): ∀ (a : int) (a_1 : nat), Or (Eq a pls) (Ne (power_power_int a a_1) zero_zero_int)
% 129.70/129.85 Clause #7985 (by forward demodulation #[7984, 622]): ∀ (a : int) (a_1 : nat), Or (Eq a pls) (Ne (power_power_int a a_1) pls)
% 129.70/129.85 Clause #18297 (by clausification #[439]): ∀ (a : int),
% 129.70/129.85 Eq
% 129.70/129.85 (∀ (Z_2 : int),
% 129.70/129.85 Iff (ord_less_eq_int a Z_2) (Exists fun N_1 => Eq Z_2 (plus_plus_int a (semiri1621563631at_int N_1))))
% 129.70/129.85 True
% 129.70/129.85 Clause #18298 (by clausification #[18297]): ∀ (a a_1 : int),
% 129.70/129.85 Eq (Iff (ord_less_eq_int a a_1) (Exists fun N_1 => Eq a_1 (plus_plus_int a (semiri1621563631at_int N_1)))) True
% 129.70/129.85 Clause #18299 (by clausification #[18298]): ∀ (a a_1 : int),
% 129.70/129.85 Or (Eq (ord_less_eq_int a a_1) True)
% 129.70/129.85 (Eq (Exists fun N_1 => Eq a_1 (plus_plus_int a (semiri1621563631at_int N_1))) False)
% 129.70/129.85 Clause #18301 (by clausification #[18299]): ∀ (a a_1 : int) (a_2 : nat),
% 129.96/130.15 Or (Eq (ord_less_eq_int a a_1) True) (Eq (Eq a_1 (plus_plus_int a (semiri1621563631at_int a_2))) False)
% 129.96/130.15 Clause #18302 (by clausification #[18301]): ∀ (a a_1 : int) (a_2 : nat),
% 129.96/130.15 Or (Eq (ord_less_eq_int a a_1) True) (Ne a_1 (plus_plus_int a (semiri1621563631at_int a_2)))
% 129.96/130.15 Clause #18303 (by destructive equality resolution #[18302]): ∀ (a : int) (a_1 : nat), Eq (ord_less_eq_int a (plus_plus_int a (semiri1621563631at_int a_1))) True
% 129.96/130.15 Clause #18332 (by superposition #[18303, 2076]): ∀ (a : int) (a_1 : nat), Eq (ord_less_eq_int a (plus_plus_int (semiri1621563631at_int a_1) a)) True
% 129.96/130.15 Clause #23102 (by clausification #[481]): ∀ (a : int), Eq (Eq (succ a) (plus_plus_int a one_one_int)) True
% 129.96/130.15 Clause #23103 (by clausification #[23102]): ∀ (a : int), Eq (succ a) (plus_plus_int a one_one_int)
% 129.96/130.15 Clause #23140 (by superposition #[23103, 18332]): ∀ (a : nat), Eq (ord_less_eq_int one_one_int (succ (semiri1621563631at_int a))) True
% 129.96/130.15 Clause #23163 (by superposition #[23103, 2076]): ∀ (a : int), Eq (plus_plus_int one_one_int a) (succ a)
% 129.96/130.15 Clause #37905 (by clausification #[593]): Eq
% 129.96/130.15 (Ne (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 129.96/130.15 zero_zero_int)
% 129.96/130.15 False
% 129.96/130.15 Clause #37906 (by clausification #[37905]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 129.96/130.15 zero_zero_int
% 129.96/130.15 Clause #37907 (by forward demodulation #[37906, 775]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 one_one_int)))
% 129.96/130.15 zero_zero_int
% 129.96/130.15 Clause #37908 (by forward demodulation #[37907, 797]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat))
% 129.96/130.15 zero_zero_int
% 129.96/130.15 Clause #37909 (by forward demodulation #[37908, 23163]): Eq (power_power_int (succ (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat)) zero_zero_int
% 129.96/130.15 Clause #37910 (by forward demodulation #[37909, 622]): Eq (power_power_int (succ (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat)) pls
% 129.96/130.15 Clause #37922 (by superposition #[37910, 7985]): Or (Eq (succ (semiri1621563631at_int n)) pls) (Ne pls pls)
% 129.96/130.15 Clause #37955 (by eliminate resolved literals #[37922]): Eq (succ (semiri1621563631at_int n)) pls
% 129.96/130.15 Clause #37958 (by superposition #[37955, 23140]): Eq (ord_less_eq_int one_one_int pls) True
% 129.96/130.15 Clause #38026 (by superposition #[37958, 644]): Eq True False
% 129.96/130.15 Clause #38120 (by clausification #[38026]): False
% 129.96/130.15 SZS output end Proof for theBenchmark.p
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