TSTP Solution File: NUM925_1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM925_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 10:58:15 EDT 2023
% Result : Theorem 7.65s 7.85s
% Output : Proof 7.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM925_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 09:41:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 7.65/7.85 SZS status Theorem for theBenchmark.p
% 7.65/7.85 SZS output start Proof for theBenchmark.p
% 7.65/7.85 Clause #0 (by assumption #[]): Eq (ord_less_int zero_zero_int (plus_plus_int one_one_int (semiri1621563631at_int n))) True
% 7.65/7.85 Clause #7 (by assumption #[]): Eq
% 7.65/7.85 (∀ (A_1 : int),
% 7.65/7.85 Iff (Eq (power_power_int A_1 (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq A_1 zero_zero_int))
% 7.65/7.85 True
% 7.65/7.85 Clause #11 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True
% 7.65/7.85 Clause #32 (by assumption #[]): Eq (Not (ord_less_int pls pls)) True
% 7.65/7.85 Clause #71 (by assumption #[]): Eq (Eq pls zero_zero_int) True
% 7.65/7.85 Clause #73 (by assumption #[]): Eq (∀ (K : int), Eq (plus_plus_int K pls) K) True
% 7.65/7.85 Clause #88 (by assumption #[]): Eq (∀ (K : int), Eq (bit1 K) (plus_plus_int (plus_plus_int one_one_int K) K)) True
% 7.65/7.85 Clause #95 (by assumption #[]): Eq
% 7.65/7.85 (Not
% 7.65/7.85 (Ne
% 7.65/7.85 (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 7.65/7.85 zero_zero_int))
% 7.65/7.85 True
% 7.65/7.85 Clause #97 (by clausification #[71]): Eq pls zero_zero_int
% 7.65/7.85 Clause #100 (by forward demodulation #[0, 97]): Eq (ord_less_int pls (plus_plus_int one_one_int (semiri1621563631at_int n))) True
% 7.65/7.85 Clause #101 (by clausification #[32]): Eq (ord_less_int pls pls) False
% 7.65/7.85 Clause #146 (by clausification #[73]): ∀ (a : int), Eq (Eq (plus_plus_int a pls) a) True
% 7.65/7.85 Clause #147 (by clausification #[146]): ∀ (a : int), Eq (plus_plus_int a pls) a
% 7.65/7.85 Clause #168 (by clausification #[7]): ∀ (a : int),
% 7.65/7.85 Eq (Iff (Eq (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq a zero_zero_int)) True
% 7.65/7.85 Clause #170 (by clausification #[168]): ∀ (a : int),
% 7.65/7.85 Or (Eq (Eq (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) False)
% 7.65/7.85 (Eq (Eq a zero_zero_int) True)
% 7.65/7.85 Clause #206 (by clausification #[11]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))
% 7.65/7.85 Clause #2035 (by clausification #[88]): ∀ (a : int), Eq (Eq (bit1 a) (plus_plus_int (plus_plus_int one_one_int a) a)) True
% 7.65/7.85 Clause #2036 (by clausification #[2035]): ∀ (a : int), Eq (bit1 a) (plus_plus_int (plus_plus_int one_one_int a) a)
% 7.65/7.85 Clause #2037 (by superposition #[2036, 147]): Eq (bit1 pls) (plus_plus_int one_one_int pls)
% 7.65/7.85 Clause #2058 (by superposition #[2037, 147]): Eq (bit1 pls) one_one_int
% 7.65/7.85 Clause #2070 (by backward demodulation #[2058, 206]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 one_one_int))
% 7.65/7.85 Clause #2376 (by clausification #[95]): Eq
% 7.65/7.85 (Ne (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 7.65/7.85 zero_zero_int)
% 7.65/7.85 False
% 7.65/7.85 Clause #2377 (by clausification #[2376]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 (bit1 pls))))
% 7.65/7.85 zero_zero_int
% 7.65/7.85 Clause #2378 (by forward demodulation #[2377, 2058]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (number_number_of_nat (bit0 one_one_int)))
% 7.65/7.85 zero_zero_int
% 7.65/7.85 Clause #2379 (by forward demodulation #[2378, 2070]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat))
% 7.65/7.85 zero_zero_int
% 7.65/7.85 Clause #2380 (by forward demodulation #[2379, 97]): Eq (power_power_int (plus_plus_int one_one_int (semiri1621563631at_int n)) (plus_plus_nat one_one_nat one_one_nat)) pls
% 7.65/7.85 Clause #2486 (by clausification #[170]): ∀ (a : int),
% 7.65/7.85 Or (Eq (Eq a zero_zero_int) True) (Ne (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int)
% 7.65/7.85 Clause #2487 (by clausification #[2486]): ∀ (a : int), Or (Ne (power_power_int a (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int) (Eq a zero_zero_int)
% 7.65/7.85 Clause #2488 (by forward demodulation #[2487, 2058]): ∀ (a : int), Or (Ne (power_power_int a (number_number_of_nat (bit0 one_one_int))) zero_zero_int) (Eq a zero_zero_int)
% 7.65/7.85 Clause #2489 (by forward demodulation #[2488, 2070]): ∀ (a : int), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) zero_zero_int) (Eq a zero_zero_int)
% 7.65/7.85 Clause #2490 (by forward demodulation #[2489, 97]): ∀ (a : int), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) pls) (Eq a zero_zero_int)
% 7.65/7.86 Clause #2491 (by forward demodulation #[2490, 97]): ∀ (a : int), Or (Ne (power_power_int a (plus_plus_nat one_one_nat one_one_nat)) pls) (Eq a pls)
% 7.65/7.86 Clause #2493 (by superposition #[2491, 2380]): Or (Ne pls pls) (Eq (plus_plus_int one_one_int (semiri1621563631at_int n)) pls)
% 7.65/7.86 Clause #2496 (by eliminate resolved literals #[2493]): Eq (plus_plus_int one_one_int (semiri1621563631at_int n)) pls
% 7.65/7.86 Clause #2497 (by backward demodulation #[2496, 100]): Eq (ord_less_int pls pls) True
% 7.65/7.86 Clause #2511 (by superposition #[2497, 101]): Eq True False
% 7.65/7.86 Clause #2524 (by clausification #[2511]): False
% 7.65/7.86 SZS output end Proof for theBenchmark.p
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