TSTP Solution File: NUM924_1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM924_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 10:58:13 EDT 2023
% Result : Theorem 10.40s 10.57s
% Output : Proof 10.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:14:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 10.40/10.57 SZS status Theorem for theBenchmark.p
% 10.40/10.57 SZS output start Proof for theBenchmark.p
% 10.40/10.57 Clause #2 (by assumption #[]): Eq
% 10.40/10.57 (ord_less_int
% 10.40/10.57 (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) t)
% 10.40/10.57 (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 10.40/10.57 zero_zero_int))
% 10.40/10.57 True
% 10.40/10.57 Clause #3 (by assumption #[]): Eq
% 10.40/10.57 (Eq (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.57 (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) t))
% 10.40/10.57 True
% 10.40/10.57 Clause #24 (by assumption #[]): Eq (∀ (K_1 : int), Eq (number_number_of_int K_1) K_1) True
% 10.40/10.57 Clause #25 (by assumption #[]): Eq (∀ (Z W : int), Eq (times_times_int Z W) (times_times_int W Z)) True
% 10.40/10.57 Clause #60 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True
% 10.40/10.57 Clause #61 (by assumption #[]): Eq (∀ (W : int), Eq (times_times_int pls W) pls) True
% 10.40/10.57 Clause #97 (by assumption #[]): Eq (∀ (Z W : int), Eq (plus_plus_int Z W) (plus_plus_int W Z)) True
% 10.40/10.57 Clause #98 (by assumption #[]): Eq (Eq zero_zero_int (number_number_of_int pls)) True
% 10.40/10.57 Clause #99 (by assumption #[]): Eq
% 10.40/10.57 (Not
% 10.40/10.57 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.57 zero_zero_int))
% 10.40/10.57 True
% 10.40/10.57 Clause #104 (by clausification #[98]): Eq zero_zero_int (number_number_of_int pls)
% 10.40/10.57 Clause #107 (by clausification #[3]): Eq (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.57 (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) t)
% 10.40/10.57 Clause #108 (by backward demodulation #[107, 2]): Eq
% 10.40/10.57 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.57 (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 10.40/10.57 zero_zero_int))
% 10.40/10.57 True
% 10.40/10.57 Clause #109 (by clausification #[24]): ∀ (a : int), Eq (Eq (number_number_of_int a) a) True
% 10.40/10.57 Clause #110 (by clausification #[109]): ∀ (a : int), Eq (number_number_of_int a) a
% 10.40/10.57 Clause #112 (by superposition #[110, 104]): Eq zero_zero_int pls
% 10.40/10.57 Clause #130 (by clausification #[61]): ∀ (a : int), Eq (Eq (times_times_int pls a) pls) True
% 10.40/10.57 Clause #131 (by clausification #[130]): ∀ (a : int), Eq (times_times_int pls a) pls
% 10.40/10.57 Clause #632 (by clausification #[25]): ∀ (a : int), Eq (∀ (W : int), Eq (times_times_int a W) (times_times_int W a)) True
% 10.40/10.57 Clause #633 (by clausification #[632]): ∀ (a a_1 : int), Eq (Eq (times_times_int a a_1) (times_times_int a_1 a)) True
% 10.40/10.57 Clause #634 (by clausification #[633]): ∀ (a a_1 : int), Eq (times_times_int a a_1) (times_times_int a_1 a)
% 10.40/10.57 Clause #682 (by clausification #[60]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))
% 10.40/10.57 Clause #4239 (by clausification #[97]): ∀ (a : int), Eq (∀ (W : int), Eq (plus_plus_int a W) (plus_plus_int W a)) True
% 10.40/10.57 Clause #4240 (by clausification #[4239]): ∀ (a a_1 : int), Eq (Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)) True
% 10.40/10.57 Clause #4241 (by clausification #[4240]): ∀ (a a_1 : int), Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)
% 10.40/10.57 Clause #4334 (by clausification #[99]): Eq (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int) zero_zero_int)
% 10.40/10.57 False
% 10.40/10.57 Clause #4335 (by forward demodulation #[4334, 112]): Eq (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int) pls) False
% 10.40/10.57 Clause #4336 (by forward demodulation #[4335, 4241]): Eq (ord_less_int (plus_plus_int one_one_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls))))) pls) False
% 10.40/10.57 Clause #4337 (by forward demodulation #[4336, 682]): Eq (ord_less_int (plus_plus_int one_one_int (power_power_int s (plus_plus_nat one_one_nat one_one_nat))) pls) False
% 10.40/10.57 Clause #4417 (by forward demodulation #[108, 634]): Eq
% 10.40/10.57 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.59 (times_times_int zero_zero_int
% 10.40/10.59 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)))
% 10.40/10.59 True
% 10.40/10.59 Clause #4418 (by forward demodulation #[4417, 4241]): Eq
% 10.40/10.59 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.59 (times_times_int zero_zero_int
% 10.40/10.59 (plus_plus_int one_one_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m))))
% 10.40/10.59 True
% 10.40/10.59 Clause #4419 (by forward demodulation #[4418, 634]): Eq
% 10.40/10.59 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.59 (times_times_int zero_zero_int
% 10.40/10.59 (plus_plus_int one_one_int (times_times_int m (number_number_of_int (bit0 (bit0 (bit1 pls))))))))
% 10.40/10.59 True
% 10.40/10.59 Clause #4420 (by forward demodulation #[4419, 110]): Eq
% 10.40/10.59 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.59 (times_times_int zero_zero_int (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))))
% 10.40/10.59 True
% 10.40/10.59 Clause #4421 (by forward demodulation #[4420, 112]): Eq
% 10.40/10.59 (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int)
% 10.40/10.59 (times_times_int pls (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))))
% 10.40/10.59 True
% 10.40/10.59 Clause #4422 (by forward demodulation #[4421, 131]): Eq (ord_less_int (plus_plus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) one_one_int) pls) True
% 10.40/10.59 Clause #4423 (by forward demodulation #[4422, 4241]): Eq (ord_less_int (plus_plus_int one_one_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls))))) pls) True
% 10.40/10.59 Clause #4424 (by forward demodulation #[4423, 682]): Eq (ord_less_int (plus_plus_int one_one_int (power_power_int s (plus_plus_nat one_one_nat one_one_nat))) pls) True
% 10.40/10.59 Clause #4425 (by superposition #[4424, 4337]): Eq True False
% 10.40/10.59 Clause #4441 (by clausification #[4425]): False
% 10.40/10.59 SZS output end Proof for theBenchmark.p
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