%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 16:00:33 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % 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_zenon %s %d % 0.13/0.33 % Computer : n004.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jul 5 14:56:37 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem conj_0 : (exists X : zenon_U, (exists Y : zenon_U, ((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))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_imply_s _ _ fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.19/0.50 apply (zenon_imply_s _ _ fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06); [ zenon_intro zenon_H6e | zenon_intro zenon_H6c ]. % 0.19/0.50 generalize (fact_28_zless__le (one_one_int)). zenon_intro zenon_H6f. % 0.19/0.50 generalize (zenon_H6f (t)). zenon_intro zenon_H70. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H70); [ zenon_intro zenon_H6e; zenon_intro zenon_H73 | zenon_intro zenon_H72; zenon_intro zenon_H71 ]. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.19/0.50 exact (zenon_H75 fact_0_tpos). % 0.19/0.50 apply zenon_H74. zenon_intro zenon_H76. % 0.19/0.50 apply zenon_H6d. apply sym_equal. exact zenon_H76. % 0.19/0.50 exact (zenon_H6e zenon_H72). % 0.19/0.50 exact (zenon_G zenon_H6c). % 0.19/0.50 exact (zenon_G zenon_H6c). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 23 % 0.19/0.50 max branch formulas: 117 % 0.19/0.50 proof nodes created: 9 % 0.19/0.50 formulas created: 1766 % 0.19/0.50 %------------------------------------------------------------------------------