TSTP Solution File: NUM932_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM932_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 10:58:22 EDT 2023
% Result : Theorem 7.79s 7.95s
% Output : Proof 7.79s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM932_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.13 % Command : duper %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 11:43:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 7.79/7.95 SZS status Theorem for theBenchmark.p
% 7.79/7.95 SZS output start Proof for theBenchmark.p
% 7.79/7.95 Clause #0 (by assumption #[]): Eq (ord_less_eq int m (zero_zero int)) True
% 7.79/7.95 Clause #8 (by assumption #[]): Eq (∀ (L1 K : int), Eq (times_times int (bit1 K) L1) (plus_plus int (bit0 (times_times int K L1)) L1)) True
% 7.79/7.95 Clause #10 (by assumption #[]): Eq (∀ (L1 K : int), Eq (plus_plus int (bit0 K) (bit1 L1)) (bit1 (plus_plus int K L1))) True
% 7.79/7.95 Clause #13 (by assumption #[]): Eq (∀ (K3 : int), Iff (ord_less_eq int (bit0 K3) pls) (ord_less_eq int K3 pls)) True
% 7.79/7.95 Clause #25 (by assumption #[]): Eq (Eq (bit0 pls) pls) True
% 7.79/7.95 Clause #26 (by assumption #[]): Eq (∀ (L K3 : int), Iff (ord_less_eq int (bit1 K3) (bit1 L)) (ord_less_eq int K3 L)) True
% 7.79/7.95 Clause #29 (by assumption #[]): Eq (∀ (W : int), Eq (times_times int pls W) pls) True
% 7.79/7.95 Clause #30 (by assumption #[]): Eq (∀ (L1 K : int), Eq (times_times int (bit0 K) L1) (bit0 (times_times int K L1))) True
% 7.79/7.95 Clause #43 (by assumption #[]): Eq (Eq pls (zero_zero int)) True
% 7.79/7.95 Clause #45 (by assumption #[]): Eq (∀ (K : int), Eq (number_number_of int K) K) True
% 7.79/7.95 Clause #50 (by assumption #[]): Eq (∀ (K : int), Eq (plus_plus int K pls) K) True
% 7.79/7.95 Clause #51 (by assumption #[]): Eq (∀ (K : int), Eq (plus_plus int pls K) K) True
% 7.79/7.95 Clause #67 (by assumption #[]): Eq (Eq (one_one int) (number_number_of int (bit1 pls))) True
% 7.79/7.95 Clause #113 (by assumption #[]): Eq
% 7.79/7.95 (Not
% 7.79/7.95 (ord_less_eq int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.79/7.95 (one_one int)))
% 7.79/7.95 True
% 7.79/7.95 Clause #121 (by clausification #[25]): Eq (bit0 pls) pls
% 7.79/7.95 Clause #122 (by clausification #[43]): Eq pls (zero_zero int)
% 7.79/7.95 Clause #123 (by backward demodulation #[122, 0]): Eq (ord_less_eq int m pls) True
% 7.79/7.95 Clause #135 (by clausification #[45]): ∀ (a : int), Eq (Eq (number_number_of int a) a) True
% 7.79/7.95 Clause #136 (by clausification #[135]): ∀ (a : int), Eq (number_number_of int a) a
% 7.79/7.95 Clause #148 (by clausification #[29]): ∀ (a : int), Eq (Eq (times_times int pls a) pls) True
% 7.79/7.95 Clause #149 (by clausification #[148]): ∀ (a : int), Eq (times_times int pls a) pls
% 7.79/7.95 Clause #151 (by clausification #[51]): ∀ (a : int), Eq (Eq (plus_plus int pls a) a) True
% 7.79/7.95 Clause #152 (by clausification #[151]): ∀ (a : int), Eq (plus_plus int pls a) a
% 7.79/7.95 Clause #160 (by clausification #[50]): ∀ (a : int), Eq (Eq (plus_plus int a pls) a) True
% 7.79/7.95 Clause #161 (by clausification #[160]): ∀ (a : int), Eq (plus_plus int a pls) a
% 7.79/7.95 Clause #162 (by clausification #[67]): Eq (one_one int) (number_number_of int (bit1 pls))
% 7.79/7.95 Clause #163 (by superposition #[162, 136]): Eq (one_one int) (bit1 pls)
% 7.79/7.95 Clause #184 (by clausification #[8]): ∀ (a : int), Eq (∀ (K : int), Eq (times_times int (bit1 K) a) (plus_plus int (bit0 (times_times int K a)) a)) True
% 7.79/7.95 Clause #185 (by clausification #[184]): ∀ (a a_1 : int), Eq (Eq (times_times int (bit1 a) a_1) (plus_plus int (bit0 (times_times int a a_1)) a_1)) True
% 7.79/7.95 Clause #186 (by clausification #[185]): ∀ (a a_1 : int), Eq (times_times int (bit1 a) a_1) (plus_plus int (bit0 (times_times int a a_1)) a_1)
% 7.79/7.95 Clause #188 (by superposition #[186, 149]): ∀ (a : int), Eq (times_times int (bit1 pls) a) (plus_plus int (bit0 pls) a)
% 7.79/7.95 Clause #191 (by forward demodulation #[188, 121]): ∀ (a : int), Eq (times_times int (bit1 pls) a) (plus_plus int pls a)
% 7.79/7.95 Clause #192 (by forward demodulation #[191, 152]): ∀ (a : int), Eq (times_times int (bit1 pls) a) a
% 7.79/7.95 Clause #218 (by clausification #[10]): ∀ (a : int), Eq (∀ (K : int), Eq (plus_plus int (bit0 K) (bit1 a)) (bit1 (plus_plus int K a))) True
% 7.79/7.95 Clause #219 (by clausification #[218]): ∀ (a a_1 : int), Eq (Eq (plus_plus int (bit0 a) (bit1 a_1)) (bit1 (plus_plus int a a_1))) True
% 7.79/7.95 Clause #220 (by clausification #[219]): ∀ (a a_1 : int), Eq (plus_plus int (bit0 a) (bit1 a_1)) (bit1 (plus_plus int a a_1))
% 7.79/7.95 Clause #269 (by clausification #[13]): ∀ (a : int), Eq (Iff (ord_less_eq int (bit0 a) pls) (ord_less_eq int a pls)) True
% 7.79/7.95 Clause #270 (by clausification #[269]): ∀ (a : int), Or (Eq (ord_less_eq int (bit0 a) pls) True) (Eq (ord_less_eq int a pls) False)
% 7.79/7.95 Clause #273 (by superposition #[270, 123]): Or (Eq (ord_less_eq int (bit0 m) pls) True) (Eq False True)
% 7.79/7.97 Clause #274 (by clausification #[273]): Eq (ord_less_eq int (bit0 m) pls) True
% 7.79/7.97 Clause #391 (by clausification #[26]): ∀ (a : int), Eq (∀ (K3 : int), Iff (ord_less_eq int (bit1 K3) (bit1 a)) (ord_less_eq int K3 a)) True
% 7.79/7.97 Clause #392 (by clausification #[391]): ∀ (a a_1 : int), Eq (Iff (ord_less_eq int (bit1 a) (bit1 a_1)) (ord_less_eq int a a_1)) True
% 7.79/7.97 Clause #393 (by clausification #[392]): ∀ (a a_1 : int), Or (Eq (ord_less_eq int (bit1 a) (bit1 a_1)) True) (Eq (ord_less_eq int a a_1) False)
% 7.79/7.97 Clause #401 (by superposition #[393, 274]): Or (Eq (ord_less_eq int (bit1 (bit0 m)) (bit1 pls)) True) (Eq False True)
% 7.79/7.97 Clause #455 (by clausification #[30]): ∀ (a : int), Eq (∀ (K : int), Eq (times_times int (bit0 K) a) (bit0 (times_times int K a))) True
% 7.79/7.97 Clause #456 (by clausification #[455]): ∀ (a a_1 : int), Eq (Eq (times_times int (bit0 a) a_1) (bit0 (times_times int a a_1))) True
% 7.79/7.97 Clause #457 (by clausification #[456]): ∀ (a a_1 : int), Eq (times_times int (bit0 a) a_1) (bit0 (times_times int a a_1))
% 7.79/7.97 Clause #472 (by superposition #[457, 192]): ∀ (a : int), Eq (times_times int (bit0 (bit1 pls)) a) (bit0 a)
% 7.79/7.97 Clause #479 (by superposition #[472, 457]): ∀ (a : int), Eq (times_times int (bit0 (bit0 (bit1 pls))) a) (bit0 (bit0 a))
% 7.79/7.97 Clause #585 (by clausification #[401]): Eq (ord_less_eq int (bit1 (bit0 m)) (bit1 pls)) True
% 7.79/7.97 Clause #1569 (by clausification #[113]): Eq
% 7.79/7.97 (ord_less_eq int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.79/7.97 (one_one int))
% 7.79/7.97 False
% 7.79/7.97 Clause #1570 (by forward demodulation #[1569, 163]): Eq
% 7.79/7.97 (ord_less_eq int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.79/7.97 (bit1 pls))
% 7.79/7.97 False
% 7.79/7.97 Clause #1571 (by forward demodulation #[1570, 163]): Eq
% 7.79/7.97 (ord_less_eq int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (bit1 pls))
% 7.79/7.97 (bit1 pls))
% 7.79/7.97 False
% 7.79/7.97 Clause #1572 (by forward demodulation #[1571, 136]): Eq (ord_less_eq int (plus_plus int (times_times int (bit0 (bit0 (bit1 pls))) m) (bit1 pls)) (bit1 pls)) False
% 7.79/7.97 Clause #1573 (by forward demodulation #[1572, 479]): Eq (ord_less_eq int (plus_plus int (bit0 (bit0 m)) (bit1 pls)) (bit1 pls)) False
% 7.79/7.97 Clause #1574 (by forward demodulation #[1573, 220]): Eq (ord_less_eq int (bit1 (plus_plus int (bit0 m) pls)) (bit1 pls)) False
% 7.79/7.97 Clause #1575 (by forward demodulation #[1574, 161]): Eq (ord_less_eq int (bit1 (bit0 m)) (bit1 pls)) False
% 7.79/7.97 Clause #1576 (by superposition #[1575, 585]): Eq False True
% 7.79/7.97 Clause #1577 (by clausification #[1576]): False
% 7.79/7.97 SZS output end Proof for theBenchmark.p
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