%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n012.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 : 600s % DateTime : Mon Jul 18 14:47:26 EDT 2022 % Result : Theorem 18.45s 18.68s % Output : Proof 18.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n012.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 : 600 % 0.12/0.33 % DateTime : Tue Jul 5 15:00:00 EDT 2022 % 0.12/0.33 % CPUTime : % 18.45/18.68 % SZS status Theorem % 18.45/18.68 (* PROOF-FOUND *) % 18.45/18.68 (* BEGIN-PROOF *) % 18.45/18.68 % SZS output start Proof % 18.45/18.68 1. (ord_less_eq_int (one_one_int) (t)) (-. (ord_less_eq_int (one_one_int) (t))) ### Axiom % 18.45/18.68 2. ((one_one_int) = (t)) ((t) != (one_one_int)) ### Sym(=) % 18.45/18.68 3. (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int))))) ### Axiom % 18.45/18.68 4. (((t) = (one_one_int)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) ((one_one_int) = (t)) ### Imply 2 3 % 18.45/18.68 5. (-. ((one_one_int) != (t))) (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (((t) = (one_one_int)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) ### NotNot 4 % 18.45/18.68 6. (-. ((ord_less_eq_int (one_one_int) (t)) /\ ((one_one_int) != (t)))) (((t) = (one_one_int)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (ord_less_eq_int (one_one_int) (t)) ### NotAnd 1 5 % 18.45/18.68 7. (-. (ord_less_int (one_one_int) (t))) (ord_less_eq_int (one_one_int) (t)) (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (((t) = (one_one_int)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) ### Definition-Pseudo(ord_less_int) 6 % 18.45/18.68 8. (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int))))) ### Axiom % 18.45/18.68 9. ((ord_less_int (one_one_int) (t)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (((t) = (one_one_int)) => (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (-. (Ex X, (Ex Y, ((plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 (pls))))) (power_power_int Y (number_number_of_nat (bit0 (bit1 (pls)))))) = (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 (pls))))) (m)) (one_one_int)))))) (ord_less_eq_int (one_one_int) (t)) ### Imply 7 8 % 18.45/18.68 % SZS output end Proof % 18.45/18.68 (* END-PROOF *) %------------------------------------------------------------------------------