TSTP Solution File: NUN004_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUN004_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 12:47:06 EDT 2023
% Result : Theorem 7.06s 7.21s
% Output : Proof 7.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN004_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n021.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 : Sun Aug 27 10:01:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.06/7.21 SZS status Theorem for theBenchmark.p
% 7.06/7.21 SZS output start Proof for theBenchmark.p
% 7.06/7.21 Clause #0 (by assumption #[]): Eq
% 7.06/7.21 (Eq
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1))
% 7.06/7.21 True
% 7.06/7.21 Clause #1 (by assumption #[]): Eq
% 7.06/7.21 (Eq
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n))))
% 7.06/7.21 True
% 7.06/7.21 Clause #114 (by assumption #[]): Eq
% 7.06/7.21 (Not
% 7.06/7.21 (Eq
% 7.06/7.21 (times_times int
% 7.06/7.21 (times_times int
% 7.06/7.21 (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n)))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.21 (times_times int
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))))
% 7.06/7.21 True
% 7.06/7.21 Clause #115 (by clausification #[0]): Eq
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1)
% 7.06/7.21 Clause #116 (by clausification #[1]): Eq
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n)))
% 7.06/7.21 Clause #1506 (by clausification #[114]): Eq
% 7.06/7.21 (Eq
% 7.06/7.21 (times_times int
% 7.06/7.21 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n)))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.21 (times_times int
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls)))))))
% 7.06/7.21 False
% 7.06/7.21 Clause #1507 (by clausification #[1506]): Ne
% 7.06/7.21 (times_times int
% 7.06/7.21 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n)))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.21 (times_times int
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.21 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.21 Clause #1508 (by forward demodulation #[1507, 115]): Ne
% 7.06/7.21 (times_times int
% 7.06/7.21 (times_times int (plus_plus int (times_times int (number_number_of int (bit0 (bit0 (bit1 pls)))) m) (one_one int))
% 7.06/7.21 (plus_plus int (one_one int) (semiring_1_of_nat int n)))
% 7.06/7.21 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1))
% 7.06/7.21 (times_times int
% 7.06/7.21 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.21 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.22 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.22 Clause #1509 (by forward demodulation #[1508, 116]): Ne
% 7.06/7.22 (times_times int
% 7.06/7.22 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.22 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1))
% 7.06/7.22 (times_times int
% 7.06/7.22 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.22 (plus_plus int (power_power int v (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int w (number_number_of nat (bit0 (bit1 pls))))))
% 7.06/7.22 Clause #1510 (by forward demodulation #[1509, 115]): Ne
% 7.06/7.22 (times_times int
% 7.06/7.22 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.22 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1))
% 7.06/7.22 (times_times int
% 7.06/7.22 (plus_plus int (power_power int x (number_number_of nat (bit0 (bit1 pls))))
% 7.06/7.22 (power_power int y (number_number_of nat (bit0 (bit1 pls)))))
% 7.06/7.22 (times_times int (plus_plus int (one_one int) (semiring_1_of_nat int n)) m1))
% 7.06/7.22 Clause #1511 (by eliminate resolved literals #[1510]): False
% 7.06/7.22 SZS output end Proof for theBenchmark.p
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