TSTP Solution File: NUM924+5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM924+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 48.10s 48.64s
% Output : Proof 48.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 13:48:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 48.10/48.64 SZS status Theorem for theBenchmark.p
% 48.10/48.64 SZS output start Proof for theBenchmark.p
% 48.10/48.64 Clause #41 (by assumption #[]): Eq
% 48.10/48.64 (ord_less int
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 t)
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 (zero_zero int)))
% 48.10/48.64 True
% 48.10/48.64 Clause #42 (by assumption #[]): Eq
% 48.10/48.64 (Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 t))
% 48.10/48.64 True
% 48.10/48.64 Clause #61 (by assumption #[]): Eq (∀ (K_1 : Iota), Eq (number_number_of int K_1) K_1) True
% 48.10/48.64 Clause #62 (by assumption #[]): Eq (∀ (Z W : Iota), Eq (times_times int Z W) (times_times int W Z)) True
% 48.10/48.64 Clause #98 (by assumption #[]): Eq (∀ (W : Iota), Eq (times_times int pls W) pls) True
% 48.10/48.64 Clause #130 (by assumption #[]): Eq (∀ (Z W : Iota), Eq (plus_plus int Z W) (plus_plus int W Z)) True
% 48.10/48.64 Clause #131 (by assumption #[]): Eq (Eq (zero_zero int) (number_number_of int pls)) True
% 48.10/48.64 Clause #149 (by assumption #[]): Eq
% 48.10/48.64 (Not
% 48.10/48.64 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.10/48.64 (zero_zero int)))
% 48.10/48.64 True
% 48.10/48.64 Clause #195 (by clausification #[131]): Eq (zero_zero int) (number_number_of int pls)
% 48.10/48.64 Clause #202 (by clausification #[61]): ∀ (a : Iota), Eq (Eq (number_number_of int a) a) True
% 48.10/48.64 Clause #203 (by clausification #[202]): ∀ (a : Iota), Eq (number_number_of int a) a
% 48.10/48.64 Clause #204 (by superposition #[203, 195]): Eq (zero_zero int) pls
% 48.10/48.64 Clause #262 (by clausification #[98]): ∀ (a : Iota), Eq (Eq (times_times int pls a) pls) True
% 48.10/48.64 Clause #263 (by clausification #[262]): ∀ (a : Iota), Eq (times_times int pls a) pls
% 48.10/48.64 Clause #582 (by forward demodulation #[41, 204]): Eq
% 48.10/48.64 (ord_less int
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 t)
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 pls))
% 48.10/48.64 True
% 48.10/48.64 Clause #583 (by forward demodulation #[582, 203]): Eq
% 48.10/48.64 (ord_less int
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 48.10/48.64 t)
% 48.10/48.64 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls))
% 48.10/48.64 True
% 48.10/48.64 Clause #584 (by forward demodulation #[583, 203]): Eq
% 48.10/48.64 (ord_less int (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) t)
% 48.10/48.64 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls))
% 48.10/48.64 True
% 48.10/48.64 Clause #602 (by clausification #[42]): Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.10/48.64 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int)) t)
% 48.10/48.64 Clause #603 (by forward demodulation #[602, 203]): Eq (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.10/48.64 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) t)
% 48.10/48.64 Clause #604 (by backward demodulation #[603, 584]): Eq
% 48.10/48.64 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.10/48.64 (times_times int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (one_one int)) pls))
% 48.10/48.64 True
% 48.10/48.64 Clause #948 (by clausification #[62]): ∀ (a : Iota), Eq (∀ (W : Iota), Eq (times_times int a W) (times_times int W a)) True
% 48.10/48.64 Clause #949 (by clausification #[948]): ∀ (a a_1 : Iota), Eq (Eq (times_times int a a_1) (times_times int a_1 a)) True
% 48.10/48.64 Clause #950 (by clausification #[949]): ∀ (a a_1 : Iota), Eq (times_times int a a_1) (times_times int a_1 a)
% 48.10/48.64 Clause #957 (by superposition #[950, 263]): ∀ (a : Iota), Eq (times_times int a pls) pls
% 48.10/48.64 Clause #4933 (by clausification #[130]): ∀ (a : Iota), Eq (∀ (W : Iota), Eq (plus_plus int a W) (plus_plus int W a)) True
% 48.15/48.70 Clause #4934 (by clausification #[4933]): ∀ (a a_1 : Iota), Eq (Eq (plus_plus int a a_1) (plus_plus int a_1 a)) True
% 48.15/48.70 Clause #4935 (by clausification #[4934]): ∀ (a a_1 : Iota), Eq (plus_plus int a a_1) (plus_plus int a_1 a)
% 48.15/48.70 Clause #5072 (by clausification #[149]): Eq
% 48.15/48.70 (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int))
% 48.15/48.70 (zero_zero int))
% 48.15/48.70 False
% 48.15/48.70 Clause #5073 (by forward demodulation #[5072, 204]): Eq (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) pls) False
% 48.15/48.70 Clause #5074 (by forward demodulation #[5073, 4935]): Eq (ord_less int (plus_plus int (one_one int) (power_power int s (number_number_of nat (bit0 (bit1 pls))))) pls) False
% 48.15/48.70 Clause #11254 (by forward demodulation #[604, 957]): Eq (ord_less int (plus_plus int (power_power int s (number_number_of nat (bit0 (bit1 pls)))) (one_one int)) pls) True
% 48.15/48.70 Clause #11255 (by forward demodulation #[11254, 4935]): Eq (ord_less int (plus_plus int (one_one int) (power_power int s (number_number_of nat (bit0 (bit1 pls))))) pls) True
% 48.15/48.70 Clause #11256 (by superposition #[11255, 5074]): Eq True False
% 48.15/48.70 Clause #11281 (by clausification #[11256]): False
% 48.15/48.70 SZS output end Proof for theBenchmark.p
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