TSTP Solution File: DAT119^1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT119^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 : Wed Aug 30 22:12:17 EDT 2023
% Result : Theorem 16.15s 16.34s
% Output : Proof 16.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT119^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.10 % Command : duper %s
% 0.12/0.29 % Computer : n032.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8042.1875MB
% 0.12/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Thu Aug 24 14:10:56 EDT 2023
% 0.12/0.29 % CPUTime :
% 16.15/16.34 SZS status Theorem for theBenchmark.p
% 16.15/16.34 SZS output start Proof for theBenchmark.p
% 16.15/16.34 Clause #0 (by assumption #[]): Eq (Eq (coindu1018505716length a xsa) (extended_enat2 (suc na))) True
% 16.15/16.34 Clause #31 (by assumption #[]): Eq
% 16.15/16.34 (∀ (A : Type) (Y : coindu1593790203_llist A),
% 16.15/16.34 Ne Y (coindu1598213697e_LNil A) →
% 16.15/16.34 Not (∀ (X212 : A) (X222 : coindu1593790203_llist A), Ne Y (coindu1121789889_LCons A X212 X222)))
% 16.15/16.34 True
% 16.15/16.34 Clause #50 (by assumption #[]): Eq (∀ (A : Type), Eq (coindu1018505716length A (coindu1598213697e_LNil A)) (zero_zero extended_enat)) True
% 16.15/16.34 Clause #54 (by assumption #[]): Eq (∀ (N : nat), Eq (extended_the_enat (extended_enat2 N)) N) True
% 16.15/16.34 Clause #83 (by assumption #[]): Eq (∀ (M : nat), Ne (zero_zero nat) (suc M)) True
% 16.15/16.34 Clause #95 (by assumption #[]): Eq (Eq (zero_zero extended_enat) (extended_enat2 (zero_zero nat))) True
% 16.15/16.34 Clause #273 (by assumption #[]): Eq (∀ (X9 : a) (Xs6 : coindu1593790203_llist a), Eq xsa (coindu1121789889_LCons a X9 Xs6) → thesis) True
% 16.15/16.34 Clause #274 (by assumption #[]): Eq (Not thesis) True
% 16.15/16.34 Clause #275 (by clausification #[274]): Eq thesis False
% 16.15/16.34 Clause #276 (by clausification #[273]): ∀ (a_1 : a), Eq (∀ (Xs6 : coindu1593790203_llist a), Eq xsa (coindu1121789889_LCons a a_1 Xs6) → thesis) True
% 16.15/16.34 Clause #277 (by clausification #[276]): ∀ (a_1 : a) (a_2 : coindu1593790203_llist a), Eq (Eq xsa (coindu1121789889_LCons a a_1 a_2) → thesis) True
% 16.15/16.34 Clause #278 (by clausification #[277]): ∀ (a_1 : a) (a_2 : coindu1593790203_llist a), Or (Eq (Eq xsa (coindu1121789889_LCons a a_1 a_2)) False) (Eq thesis True)
% 16.15/16.34 Clause #279 (by clausification #[278]): ∀ (a_1 : a) (a_2 : coindu1593790203_llist a), Or (Eq thesis True) (Ne xsa (coindu1121789889_LCons a a_1 a_2))
% 16.15/16.34 Clause #280 (by forward demodulation #[279, 275]): ∀ (a_1 : a) (a_2 : coindu1593790203_llist a), Or (Eq False True) (Ne xsa (coindu1121789889_LCons a a_1 a_2))
% 16.15/16.34 Clause #281 (by clausification #[280]): ∀ (a_1 : a) (a_2 : coindu1593790203_llist a), Ne xsa (coindu1121789889_LCons a a_1 a_2)
% 16.15/16.34 Clause #282 (by clausification #[0]): Eq (coindu1018505716length a xsa) (extended_enat2 (suc na))
% 16.15/16.34 Clause #859 (by clausification #[83]): ∀ (a : nat), Eq (Ne (zero_zero nat) (suc a)) True
% 16.15/16.34 Clause #860 (by clausification #[859]): ∀ (a : nat), Ne (zero_zero nat) (suc a)
% 16.15/16.34 Clause #942 (by clausification #[54]): ∀ (a : nat), Eq (Eq (extended_the_enat (extended_enat2 a)) a) True
% 16.15/16.34 Clause #943 (by clausification #[942]): ∀ (a : nat), Eq (extended_the_enat (extended_enat2 a)) a
% 16.15/16.34 Clause #944 (by superposition #[943, 282]): Eq (extended_the_enat (coindu1018505716length a xsa)) (suc na)
% 16.15/16.34 Clause #1864 (by clausification #[95]): Eq (zero_zero extended_enat) (extended_enat2 (zero_zero nat))
% 16.15/16.34 Clause #1865 (by superposition #[1864, 943]): Eq (extended_the_enat (zero_zero extended_enat)) (zero_zero nat)
% 16.15/16.34 Clause #6176 (by clausification #[31]): ∀ (a : Type),
% 16.15/16.34 Eq
% 16.15/16.34 (∀ (Y : coindu1593790203_llist a),
% 16.15/16.34 Ne Y (coindu1598213697e_LNil a) →
% 16.15/16.34 Not (∀ (X212 : a) (X222 : coindu1593790203_llist a), Ne Y (coindu1121789889_LCons a X212 X222)))
% 16.15/16.34 True
% 16.15/16.34 Clause #6177 (by clausification #[6176]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 16.15/16.34 Eq
% 16.15/16.34 (Ne a_1 (coindu1598213697e_LNil a) →
% 16.15/16.34 Not (∀ (X212 : a) (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a X212 X222)))
% 16.15/16.34 True
% 16.15/16.34 Clause #6178 (by clausification #[6177]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 16.15/16.34 Or (Eq (Ne a_1 (coindu1598213697e_LNil a)) False)
% 16.15/16.34 (Eq (Not (∀ (X212 : a) (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a X212 X222))) True)
% 16.15/16.34 Clause #6179 (by clausification #[6178]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 16.15/16.34 Or (Eq (Not (∀ (X212 : a) (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a X212 X222))) True)
% 16.15/16.34 (Eq a_1 (coindu1598213697e_LNil a))
% 16.15/16.34 Clause #6180 (by clausification #[6179]): ∀ (a : Type) (a_1 : coindu1593790203_llist a),
% 16.15/16.34 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.15/16.34 (Eq (∀ (X212 : a) (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a X212 X222)) False)
% 16.15/16.34 Clause #6181 (by clausification #[6180]): ∀ (a : Type) (a_1 : coindu1593790203_llist a) (a_2 : a),
% 16.24/16.47 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.24/16.47 (Eq (Not (∀ (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a (skS.0 33 a a_1 a_2) X222))) True)
% 16.24/16.47 Clause #6182 (by clausification #[6181]): ∀ (a : Type) (a_1 : coindu1593790203_llist a) (a_2 : a),
% 16.24/16.47 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.24/16.47 (Eq (∀ (X222 : coindu1593790203_llist a), Ne a_1 (coindu1121789889_LCons a (skS.0 33 a a_1 a_2) X222)) False)
% 16.24/16.47 Clause #6183 (by clausification #[6182]): ∀ (a : Type) (a_1 : coindu1593790203_llist a) (a_2 : a) (a_3 : coindu1593790203_llist a),
% 16.24/16.47 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.24/16.47 (Eq (Not (Ne a_1 (coindu1121789889_LCons a (skS.0 33 a a_1 a_2) (skS.0 34 a a_1 a_2 a_3)))) True)
% 16.24/16.47 Clause #6184 (by clausification #[6183]): ∀ (a : Type) (a_1 : coindu1593790203_llist a) (a_2 : a) (a_3 : coindu1593790203_llist a),
% 16.24/16.47 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.24/16.47 (Eq (Ne a_1 (coindu1121789889_LCons a (skS.0 33 a a_1 a_2) (skS.0 34 a a_1 a_2 a_3))) False)
% 16.24/16.47 Clause #6185 (by clausification #[6184]): ∀ (a : Type) (a_1 : coindu1593790203_llist a) (a_2 : a) (a_3 : coindu1593790203_llist a),
% 16.24/16.47 Or (Eq a_1 (coindu1598213697e_LNil a))
% 16.24/16.47 (Eq a_1 (coindu1121789889_LCons a (skS.0 33 a a_1 a_2) (skS.0 34 a a_1 a_2 a_3)))
% 16.24/16.47 Clause #6190 (by superposition #[6185, 281]): ∀ (a_1 : coindu1593790203_llist a), Or (Eq a_1 (coindu1598213697e_LNil a)) (Ne xsa a_1)
% 16.24/16.47 Clause #6351 (by destructive equality resolution #[6190]): Eq xsa (coindu1598213697e_LNil a)
% 16.24/16.47 Clause #7011 (by clausification #[50]): ∀ (a : Type), Eq (Eq (coindu1018505716length a (coindu1598213697e_LNil a)) (zero_zero extended_enat)) True
% 16.24/16.47 Clause #7012 (by clausification #[7011]): ∀ (a : Type), Eq (coindu1018505716length a (coindu1598213697e_LNil a)) (zero_zero extended_enat)
% 16.24/16.47 Clause #7014 (by superposition #[7012, 6351]): Eq (coindu1018505716length a xsa) (zero_zero extended_enat)
% 16.24/16.47 Clause #7062 (by backward demodulation #[7014, 944]): Eq (extended_the_enat (zero_zero extended_enat)) (suc na)
% 16.24/16.47 Clause #7107 (by superposition #[7062, 1865]): Eq (suc na) (zero_zero nat)
% 16.24/16.47 Clause #7161 (by forward contextual literal cutting #[7107, 860]): False
% 16.24/16.47 SZS output end Proof for theBenchmark.p
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