%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN546-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 : Sat Jun 21 05:39:33 AM UTC 2025 % Result : Satisfiable 4.20s 4.40s % Output : Model 4.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN546-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.13/0.32 % Computer : n005.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 300 % 0.13/0.32 % DateTime : Fri Jun 20 12:37:50 EDT 2025 % 0.13/0.33 % CPUTime : % 4.20/4.40 % SZS status Satisfiable % 4.20/4.40 % SZS output start Model % 4.20/4.40 tff(tptp_fun__i_val_8_type, type, ( % 4.20/4.40 tptp_fun__i_val_8: $i)). % 4.20/4.40 tff(a395_type, type, ( % 4.20/4.40 a395: $i)). % 4.20/4.40 tff(ssSkC13_type, type, ( % 4.20/4.40 ssSkC13: $o)). % 4.20/4.40 tff(a376_type, type, ( % 4.20/4.40 a376: $i)). % 4.20/4.40 tff(tptp_fun__i_val_36_type, type, ( % 4.20/4.40 tptp_fun__i_val_36: $i)). % 4.20/4.40 tff(a411_type, type, ( % 4.20/4.40 a411: $i)). % 4.20/4.40 tff(tptp_fun__i_val_28_type, type, ( % 4.20/4.40 tptp_fun__i_val_28: $i)). % 4.20/4.40 tff(a430_type, type, ( % 4.20/4.40 a430: $i)). % 4.20/4.40 tff(c8_0_type, type, ( % 4.20/4.40 c8_0: $o)). % 4.20/4.40 tff(tptp_fun__i_val_42_type, type, ( % 4.20/4.40 tptp_fun__i_val_42: $i)). % 4.20/4.40 tff(a341_type, type, ( % 4.20/4.40 a341: $i)). % 4.20/4.40 tff(ssSkC21_type, type, ( % 4.20/4.40 ssSkC21: $o)). % 4.20/4.40 tff(tptp_fun__i_val_47_type, type, ( % 4.20/4.40 tptp_fun__i_val_47: $i)). % 4.20/4.40 tff(a391_type, type, ( % 4.20/4.40 a391: $i)). % 4.20/4.40 tff(tptp_fun__i_val_31_type, type, ( % 4.20/4.40 tptp_fun__i_val_31: $i)). % 4.20/4.40 tff(a406_type, type, ( % 4.20/4.40 a406: $i)). % 4.20/4.40 tff(a374_type, type, ( % 4.20/4.40 a374: $i)). % 4.20/4.40 tff(tptp_fun__i_val_0_type, type, ( % 4.20/4.40 tptp_fun__i_val_0: $i)). % 4.20/4.40 tff(a368_type, type, ( % 4.20/4.40 a368: $i)). % 4.20/4.40 tff(tptp_fun__i_val_33_type, type, ( % 4.20/4.40 tptp_fun__i_val_33: $i)). % 4.20/4.40 tff(a386_type, type, ( % 4.20/4.40 a386: $i)). % 4.20/4.40 tff(tptp_fun__i_val_19_type, type, ( % 4.20/4.40 tptp_fun__i_val_19: $i)). % 4.20/4.40 tff(a427_type, type, ( % 4.20/4.40 a427: $i)). % 4.20/4.40 tff(tptp_fun__i_val_9_type, type, ( % 4.20/4.40 tptp_fun__i_val_9: $i)). % 4.20/4.40 tff(a453_type, type, ( % 4.20/4.40 a453: $i)). % 4.20/4.40 tff(ssSkC28_type, type, ( % 4.20/4.40 ssSkC28: $o)). % 4.20/4.40 tff(tptp_fun__i_val_13_type, type, ( % 4.20/4.40 tptp_fun__i_val_13: $i)). % 4.20/4.40 tff(a304_type, type, ( % 4.20/4.40 a304: $i)). % 4.20/4.40 tff(c1_0_type, type, ( % 4.20/4.40 c1_0: $o)). % 4.20/4.40 tff(ssSkC23_type, type, ( % 4.20/4.40 ssSkC23: $o)). % 4.20/4.40 tff(tptp_fun__i_val_51_type, type, ( % 4.20/4.40 tptp_fun__i_val_51: $i)). % 4.20/4.40 tff(a431_type, type, ( % 4.20/4.40 a431: $i)). % 4.20/4.40 tff(a320_type, type, ( % 4.20/4.40 a320: $i)). % 4.20/4.40 tff(tptp_fun__i_val_43_type, type, ( % 4.20/4.40 tptp_fun__i_val_43: $i)). % 4.20/4.40 tff(a416_type, type, ( % 4.20/4.40 a416: $i)). % 4.20/4.40 tff(a407_type, type, ( % 4.20/4.40 a407: $i)). % 4.20/4.40 tff(tptp_fun__i_val_32_type, type, ( % 4.20/4.40 tptp_fun__i_val_32: $i)). % 4.20/4.40 tff(a306_type, type, ( % 4.20/4.40 a306: $i)). % 4.20/4.40 tff(tptp_fun__i_val_20_type, type, ( % 4.20/4.40 tptp_fun__i_val_20: $i)). % 4.20/4.40 tff(a442_type, type, ( % 4.20/4.40 a442: $i)). % 4.20/4.40 tff(tptp_fun__i_val_10_type, type, ( % 4.20/4.40 tptp_fun__i_val_10: $i)). % 4.20/4.40 tff(a400_type, type, ( % 4.20/4.40 a400: $i)). % 4.20/4.40 tff(ssSkC2_type, type, ( % 4.20/4.40 ssSkC2: $o)). % 4.20/4.40 tff(c4_0_type, type, ( % 4.20/4.40 c4_0: $o)). % 4.20/4.40 tff(tptp_fun__i_val_1_type, type, ( % 4.20/4.40 tptp_fun__i_val_1: $i)). % 4.20/4.40 tff(a420_type, type, ( % 4.20/4.40 a420: $i)). % 4.20/4.40 tff(tptp_fun__i_val_15_type, type, ( % 4.20/4.40 tptp_fun__i_val_15: $i)). % 4.20/4.40 tff(a436_type, type, ( % 4.20/4.40 a436: $i)). % 4.20/4.40 tff(tptp_fun__i_val_57_type, type, ( % 4.20/4.40 tptp_fun__i_val_57: $i)). % 4.20/4.40 tff(a437_type, type, ( % 4.20/4.40 a437: $i)). % 4.20/4.40 tff(ssSkC9_type, type, ( % 4.20/4.40 ssSkC9: $o)). % 4.20/4.40 tff(ssSkC17_type, type, ( % 4.20/4.40 ssSkC17: $o)). % 4.20/4.40 tff(tptp_fun__i_val_12_type, type, ( % 4.20/4.40 tptp_fun__i_val_12: $i)). % 4.20/4.40 tff(a352_type, type, ( % 4.20/4.40 a352: $i)). % 4.20/4.40 tff(ssSkC12_type, type, ( % 4.20/4.40 ssSkC12: $o)). % 4.20/4.40 tff(tptp_fun__i_val_27_type, type, ( % 4.20/4.40 tptp_fun__i_val_27: $i)). % 4.20/4.40 tff(a353_type, type, ( % 4.20/4.40 a353: $i)). % 4.20/4.40 tff(a366_type, type, ( % 4.20/4.40 a366: $i)). % 4.20/4.40 tff(tptp_fun__i_val_6_type, type, ( % 4.20/4.40 tptp_fun__i_val_6: $i)). % 4.20/4.40 tff(a342_type, type, ( % 4.20/4.40 a342: $i)). % 4.20/4.40 tff(a439_type, type, ( % 4.20/4.40 a439: $i)). % 4.20/4.40 tff(a443_type, type, ( % 4.20/4.40 a443: $i)). % 4.20/4.40 tff(tptp_fun__i_val_59_type, type, ( % 4.20/4.40 tptp_fun__i_val_59: $i)). % 4.20/4.40 tff(a372_type, type, ( % 4.20/4.40 a372: $i)). % 4.20/4.40 tff(tptp_fun__i_val_16_type, type, ( % 4.20/4.40 tptp_fun__i_val_16: $i)). % 4.20/4.40 tff(a424_type, type, ( % 4.20/4.40 a424: $i)). % 4.20/4.40 tff(tptp_fun__i_val_23_type, type, ( % 4.20/4.40 tptp_fun__i_val_23: $i)). % 4.20/4.40 tff(a413_type, type, ( % 4.20/4.40 a413: $i)). % 4.20/4.40 tff(ndr1_0_type, type, ( % 4.20/4.40 ndr1_0: $o)). % 4.20/4.40 tff(c3_0_type, type, ( % 4.20/4.40 c3_0: $o)). % 4.20/4.40 tff(ssSkC25_type, type, ( % 4.20/4.40 ssSkC25: $o)). % 4.20/4.40 tff(ssSkC7_type, type, ( % 4.20/4.40 ssSkC7: $o)). % 4.20/4.40 tff(tptp_fun__i_val_4_type, type, ( % 4.20/4.40 tptp_fun__i_val_4: $i)). % 4.20/4.40 tff(a365_type, type, ( % 4.20/4.40 a365: $i)). % 4.20/4.40 tff(ssSkC8_type, type, ( % 4.20/4.40 ssSkC8: $o)). % 4.20/4.40 tff(ssSkC6_type, type, ( % 4.20/4.40 ssSkC6: $o)). % 4.20/4.40 tff(a344_type, type, ( % 4.20/4.40 a344: $i)). % 4.20/4.40 tff(a371_type, type, ( % 4.20/4.40 a371: $i)). % 4.20/4.40 tff(tptp_fun__i_val_62_type, type, ( % 4.20/4.40 tptp_fun__i_val_62: $i)). % 4.20/4.40 tff(a327_type, type, ( % 4.20/4.40 a327: $i)). % 4.20/4.40 tff(tptp_fun__i_val_7_type, type, ( % 4.20/4.40 tptp_fun__i_val_7: $i)). % 4.20/4.40 tff(a317_type, type, ( % 4.20/4.40 a317: $i)). % 4.20/4.40 tff(a325_type, type, ( % 4.20/4.40 a325: $i)). % 4.20/4.40 tff(tptp_fun__i_val_21_type, type, ( % 4.20/4.40 tptp_fun__i_val_21: $i)). % 4.20/4.40 tff(a428_type, type, ( % 4.20/4.40 a428: $i)). % 4.20/4.40 tff(a441_type, type, ( % 4.20/4.40 a441: $i)). % 4.20/4.40 tff(tptp_fun__i_val_37_type, type, ( % 4.20/4.40 tptp_fun__i_val_37: $i)). % 4.20/4.40 tff(a429_type, type, ( % 4.20/4.40 a429: $i)). % 4.20/4.40 tff(c5_0_type, type, ( % 4.20/4.40 c5_0: $o)). % 4.20/4.40 tff(tptp_fun__i_val_44_type, type, ( % 4.20/4.40 tptp_fun__i_val_44: $i)). % 4.20/4.40 tff(a378_type, type, ( % 4.20/4.40 a378: $i)). % 4.20/4.40 tff(a357_type, type, ( % 4.20/4.40 a357: $i)). % 4.20/4.40 tff(a356_type, type, ( % 4.20/4.40 a356: $i)). % 4.20/4.40 tff(tptp_fun__i_val_35_type, type, ( % 4.20/4.40 tptp_fun__i_val_35: $i)). % 4.20/4.40 tff(a432_type, type, ( % 4.20/4.40 a432: $i)). % 4.20/4.40 tff(a438_type, type, ( % 4.20/4.40 a438: $i)). % 4.20/4.40 tff(a412_type, type, ( % 4.20/4.40 a412: $i)). % 4.20/4.40 tff(ssSkC24_type, type, ( % 4.20/4.40 ssSkC24: $o)). % 4.20/4.40 tff(a433_type, type, ( % 4.20/4.40 a433: $i)). % 4.20/4.40 tff(ssSkC4_type, type, ( % 4.20/4.40 ssSkC4: $o)). % 4.20/4.40 tff(ssSkC15_type, type, ( % 4.20/4.40 ssSkC15: $o)). % 4.20/4.40 tff(a305_type, type, ( % 4.20/4.40 a305: $i)). % 4.20/4.40 tff(tptp_fun__i_val_60_type, type, ( % 4.20/4.40 tptp_fun__i_val_60: $i)). % 4.20/4.40 tff(a394_type, type, ( % 4.20/4.40 a394: $i)). % 4.20/4.40 tff(c7_0_type, type, ( % 4.20/4.40 c7_0: $o)). % 4.20/4.40 tff(a311_type, type, ( % 4.20/4.40 a311: $i)). % 4.20/4.40 tff(tptp_fun__i_val_34_type, type, ( % 4.20/4.40 tptp_fun__i_val_34: $i)). % 4.20/4.40 tff(a418_type, type, ( % 4.20/4.40 a418: $i)). % 4.20/4.40 tff(ssSkC20_type, type, ( % 4.20/4.40 ssSkC20: $o)). % 4.20/4.40 tff(ssSkC1_type, type, ( % 4.20/4.40 ssSkC1: $o)). % 4.20/4.40 tff(a405_type, type, ( % 4.20/4.40 a405: $i)). % 4.20/4.40 tff(a419_type, type, ( % 4.20/4.40 a419: $i)). % 4.20/4.40 tff(ssSkC19_type, type, ( % 4.20/4.40 ssSkC19: $o)). % 4.20/4.40 tff(tptp_fun__i_val_45_type, type, ( % 4.20/4.40 tptp_fun__i_val_45: $i)). % 4.20/4.40 tff(a337_type, type, ( % 4.20/4.40 a337: $i)). % 4.20/4.40 tff(ssSkC22_type, type, ( % 4.20/4.40 ssSkC22: $o)). % 4.20/4.40 tff(tptp_fun__i_val_11_type, type, ( % 4.20/4.40 tptp_fun__i_val_11: $i)). % 4.20/4.40 tff(a379_type, type, ( % 4.20/4.40 a379: $i)). % 4.20/4.40 tff(ssSkC26_type, type, ( % 4.20/4.40 ssSkC26: $o)). % 4.20/4.40 tff(tptp_fun__i_val_41_type, type, ( % 4.20/4.40 tptp_fun__i_val_41: $i)). % 4.20/4.40 tff(a390_type, type, ( % 4.20/4.40 a390: $i)). % 4.20/4.40 tff(a408_type, type, ( % 4.20/4.40 a408: $i)). % 4.20/4.40 tff(a384_type, type, ( % 4.20/4.40 a384: $i)). % 4.20/4.40 tff(tptp_fun__i_val_52_type, type, ( % 4.20/4.40 tptp_fun__i_val_52: $i)). % 4.20/4.40 tff(a326_type, type, ( % 4.20/4.40 a326: $i)). % 4.20/4.40 tff(a364_type, type, ( % 4.20/4.40 a364: $i)). % 4.20/4.40 tff(tptp_fun__i_val_61_type, type, ( % 4.20/4.40 tptp_fun__i_val_61: $i)). % 4.20/4.40 tff(a322_type, type, ( % 4.20/4.40 a322: $i)). % 4.20/4.40 tff(tptp_fun__i_val_49_type, type, ( % 4.20/4.40 tptp_fun__i_val_49: $i)). % 4.20/4.40 tff(a410_type, type, ( % 4.20/4.40 a410: $i)). % 4.20/4.40 tff(ssSkC14_type, type, ( % 4.20/4.40 ssSkC14: $o)). % 4.20/4.40 tff(a300_type, type, ( % 4.20/4.40 a300: $i)). % 4.20/4.40 tff(tptp_fun__i_val_39_type, type, ( % 4.20/4.40 tptp_fun__i_val_39: $i)). % 4.20/4.40 tff(a340_type, type, ( % 4.20/4.40 a340: $i)). % 4.20/4.40 tff(a392_type, type, ( % 4.20/4.40 a392: $i)). % 4.20/4.40 tff(tptp_fun__i_val_17_type, type, ( % 4.20/4.40 tptp_fun__i_val_17: $i)). % 4.20/4.40 tff(a343_type, type, ( % 4.20/4.40 a343: $i)). % 4.20/4.40 tff(tptp_fun__i_val_56_type, type, ( % 4.20/4.40 tptp_fun__i_val_56: $i)). % 4.20/4.40 tff(a401_type, type, ( % 4.20/4.40 a401: $i)). % 4.20/4.40 tff(tptp_fun__i_val_63_type, type, ( % 4.20/4.40 tptp_fun__i_val_63: $i)). % 4.20/4.40 tff(a363_type, type, ( % 4.20/4.40 a363: $i)). % 4.20/4.40 tff(ssSkC3_type, type, ( % 4.20/4.40 ssSkC3: $o)). % 4.20/4.40 tff(a361_type, type, ( % 4.20/4.40 a361: $i)). % 4.20/4.40 tff(a444_type, type, ( % 4.20/4.40 a444: $i)). % 4.20/4.40 tff(a339_type, type, ( % 4.20/4.40 a339: $i)). % 4.20/4.40 tff(c2_0_type, type, ( % 4.20/4.40 c2_0: $o)). % 4.20/4.40 tff(c6_0_type, type, ( % 4.20/4.40 c6_0: $o)). % 4.20/4.40 tff(tptp_fun__i_val_38_type, type, ( % 4.20/4.40 tptp_fun__i_val_38: $i)). % 4.20/4.40 tff(a359_type, type, ( % 4.20/4.40 a359: $i)). % 4.20/4.40 tff(tptp_fun__i_val_2_type, type, ( % 4.20/4.40 tptp_fun__i_val_2: $i)). % 4.20/4.40 tff(a423_type, type, ( % 4.20/4.40 a423: $i)). % 4.20/4.40 tff(a301_type, type, ( % 4.20/4.40 a301: $i)). % 4.20/4.40 tff(tptp_fun__i_val_24_type, type, ( % 4.20/4.40 tptp_fun__i_val_24: $i)). % 4.20/4.40 tff(a385_type, type, ( % 4.20/4.40 a385: $i)). % 4.20/4.40 tff(tptp_fun__i_val_22_type, type, ( % 4.20/4.40 tptp_fun__i_val_22: $i)). % 4.20/4.40 tff(a425_type, type, ( % 4.20/4.40 a425: $i)). % 4.20/4.40 tff(a309_type, type, ( % 4.20/4.40 a309: $i)). % 4.20/4.40 tff(tptp_fun__i_val_18_type, type, ( % 4.20/4.40 tptp_fun__i_val_18: $i)). % 4.20/4.40 tff(a315_type, type, ( % 4.20/4.40 a315: $i)). % 4.20/4.40 tff(ssSkC5_type, type, ( % 4.20/4.40 ssSkC5: $o)). % 4.20/4.40 tff(ssSkC18_type, type, ( % 4.20/4.40 ssSkC18: $o)). % 4.20/4.40 tff(tptp_fun__i_val_40_type, type, ( % 4.20/4.40 tptp_fun__i_val_40: $i)). % 4.20/4.40 tff(a404_type, type, ( % 4.20/4.40 a404: $i)). % 4.20/4.40 tff(tptp_fun__i_val_58_type, type, ( % 4.20/4.40 tptp_fun__i_val_58: $i)). % 4.20/4.40 tff(a333_type, type, ( % 4.20/4.40 a333: $i)). % 4.20/4.40 tff(ssSkC0_type, type, ( % 4.20/4.40 ssSkC0: $o)). % 4.20/4.40 tff(ssSkC27_type, type, ( % 4.20/4.40 ssSkC27: $o)). % 4.20/4.40 tff(tptp_fun__i_val_55_type, type, ( % 4.20/4.40 tptp_fun__i_val_55: $i)). % 4.20/4.40 tff(a360_type, type, ( % 4.20/4.40 a360: $i)). % 4.20/4.40 tff(a435_type, type, ( % 4.20/4.40 a435: $i)). % 4.20/4.40 tff(tptp_fun__i_val_25_type, type, ( % 4.20/4.40 tptp_fun__i_val_25: $i)). % 4.20/4.40 tff(a369_type, type, ( % 4.20/4.40 a369: $i)). % 4.20/4.40 tff(ssSkC16_type, type, ( % 4.20/4.40 ssSkC16: $o)). % 4.20/4.40 tff(ssSkC10_type, type, ( % 4.20/4.40 ssSkC10: $o)). % 4.20/4.40 tff(tptp_fun__i_val_3_type, type, ( % 4.20/4.40 tptp_fun__i_val_3: $i)). % 4.20/4.40 tff(a397_type, type, ( % 4.20/4.40 a397: $i)). % 4.20/4.40 tff(ssSkC11_type, type, ( % 4.20/4.40 ssSkC11: $o)). % 4.20/4.40 tff(tptp_fun__i_val_14_type, type, ( % 4.20/4.40 tptp_fun__i_val_14: $i)). % 4.20/4.40 tff(a440_type, type, ( % 4.20/4.40 a440: $i)). % 4.20/4.40 tff(a350_type, type, ( % 4.20/4.40 a350: $i)). % 4.20/4.40 tff(tptp_fun__i_val_5_type, type, ( % 4.20/4.40 tptp_fun__i_val_5: $i)). % 4.20/4.40 tff(a354_type, type, ( % 4.20/4.40 a354: $i)). % 4.20/4.40 tff(tptp_fun__i_val_50_type, type, ( % 4.20/4.40 tptp_fun__i_val_50: $i)). % 4.20/4.40 tff(a321_type, type, ( % 4.20/4.40 a321: $i)). % 4.20/4.40 tff(a307_type, type, ( % 4.20/4.40 a307: $i)). % 4.20/4.40 tff(tptp_fun__i_val_53_type, type, ( % 4.20/4.40 tptp_fun__i_val_53: $i)). % 4.20/4.40 tff(a393_type, type, ( % 4.20/4.40 a393: $i)). % 4.20/4.40 tff(a299_type, type, ( % 4.20/4.40 a299: $i)). % 4.20/4.40 tff(a318_type, type, ( % 4.20/4.40 a318: $i)). % 4.20/4.40 tff(a319_type, type, ( % 4.20/4.40 a319: $i)). % 4.20/4.40 tff(a421_type, type, ( % 4.20/4.40 a421: $i)). % 4.20/4.40 tff(tptp_fun__i_val_30_type, type, ( % 4.20/4.40 tptp_fun__i_val_30: $i)). % 4.20/4.40 tff(a417_type, type, ( % 4.20/4.40 a417: $i)). % 4.20/4.40 tff(a448_type, type, ( % 4.20/4.40 a448: $i)). % 4.20/4.40 tff(a402_type, type, ( % 4.20/4.40 a402: $i)). % 4.20/4.40 tff(a389_type, type, ( % 4.20/4.40 a389: $i)). % 4.20/4.40 tff(tptp_fun__i_val_48_type, type, ( % 4.20/4.40 tptp_fun__i_val_48: $i)). % 4.20/4.40 tff(a351_type, type, ( % 4.20/4.40 a351: $i)). % 4.20/4.40 tff(a367_type, type, ( % 4.20/4.40 a367: $i)). % 4.20/4.40 tff(tptp_fun__i_val_54_type, type, ( % 4.20/4.40 tptp_fun__i_val_54: $i)). % 4.20/4.40 tff(a362_type, type, ( % 4.20/4.40 a362: $i)). % 4.20/4.40 tff(tptp_fun__i_val_46_type, type, ( % 4.20/4.40 tptp_fun__i_val_46: $i)). % 4.20/4.40 tff(a434_type, type, ( % 4.20/4.40 a434: $i)). % 4.20/4.40 tff(tptp_fun__i_val_29_type, type, ( % 4.20/4.40 tptp_fun__i_val_29: $i)). % 4.20/4.40 tff(a426_type, type, ( % 4.20/4.40 a426: $i)). % 4.20/4.40 tff(a310_type, type, ( % 4.20/4.40 a310: $i)). % 4.20/4.40 tff(tptp_fun__i_val_26_type, type, ( % 4.20/4.40 tptp_fun__i_val_26: $i)). % 4.20/4.40 tff(a355_type, type, ( % 4.20/4.40 a355: $i)). % 4.20/4.40 tff(k!873_type, type, ( % 4.20/4.40 k!873: $i > $i)). % 4.20/4.40 tff(ndr1_1_type, type, ( % 4.20/4.40 ndr1_1: $i > $o)). % 4.20/4.40 tff(k!874_type, type, ( % 4.20/4.40 k!874: $i > $i)). % 4.20/4.40 tff(c7_2_type, type, ( % 4.20/4.40 c7_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(c5_1_type, type, ( % 4.20/4.40 c5_1: $i > $o)). % 4.20/4.40 tff(ssSkP0_type, type, ( % 4.20/4.40 ssSkP0: $i > $o)). % 4.20/4.40 tff(c3_1_type, type, ( % 4.20/4.40 c3_1: $i > $o)). % 4.20/4.40 tff(c2_1_type, type, ( % 4.20/4.40 c2_1: $i > $o)). % 4.20/4.40 tff(c4_1_type, type, ( % 4.20/4.40 c4_1: $i > $o)). % 4.20/4.40 tff(c1_2_type, type, ( % 4.20/4.40 c1_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(ssSkP1_type, type, ( % 4.20/4.40 ssSkP1: $i > $o)). % 4.20/4.40 tff(c1_1_type, type, ( % 4.20/4.40 c1_1: $i > $o)). % 4.20/4.40 tff(c3_2_type, type, ( % 4.20/4.40 c3_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(ssSkP4_type, type, ( % 4.20/4.40 ssSkP4: $i > $o)). % 4.20/4.40 tff(c4_2_type, type, ( % 4.20/4.40 c4_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(c7_1_type, type, ( % 4.20/4.40 c7_1: $i > $o)). % 4.20/4.40 tff(ssSkP2_type, type, ( % 4.20/4.40 ssSkP2: $i > $o)). % 4.20/4.40 tff(c5_2_type, type, ( % 4.20/4.40 c5_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(c8_2_type, type, ( % 4.20/4.40 c8_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(c8_1_type, type, ( % 4.20/4.40 c8_1: $i > $o)). % 4.20/4.40 tff(c6_1_type, type, ( % 4.20/4.40 c6_1: $i > $o)). % 4.20/4.40 tff(c6_2_type, type, ( % 4.20/4.40 c6_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(c2_2_type, type, ( % 4.20/4.40 c2_2: ( $i * $i ) > $o)). % 4.20/4.40 tff(ssSkP3_type, type, ( % 4.20/4.40 ssSkP3: $i > $o)). % 4.20/4.40 tff(formula1, axiom, % 4.20/4.40 a395 = $i!val!8). % 4.20/4.40 tff(formula2, axiom, % 4.20/4.40 ssSkC13 <=> $true). % 4.20/4.40 tff(formula3, axiom, % 4.20/4.40 a376 = $i!val!8). % 4.20/4.40 tff(formula4, axiom, % 4.20/4.40 a411 = $i!val!36). % 4.20/4.40 tff(formula5, axiom, % 4.20/4.40 a430 = $i!val!28). % 4.20/4.40 tff(formula6, axiom, % 4.20/4.40 c8_0 <=> $true). % 4.20/4.40 tff(formula7, axiom, % 4.20/4.40 a341 = $i!val!42). % 4.20/4.40 tff(formula8, axiom, % 4.20/4.40 ssSkC21 <=> $false). % 4.20/4.40 tff(formula9, axiom, % 4.20/4.40 a391 = $i!val!47). % 4.20/4.40 tff(formula10, axiom, % 4.20/4.40 a406 = $i!val!31). % 4.20/4.40 tff(formula11, axiom, % 4.20/4.40 a374 = $i!val!8). % 4.20/4.40 tff(formula12, axiom, % 4.20/4.40 a368 = $i!val!0). % 4.20/4.40 tff(formula13, axiom, % 4.20/4.40 a386 = $i!val!33). % 4.20/4.40 tff(formula14, axiom, % 4.20/4.40 a427 = $i!val!19). % 4.20/4.40 tff(formula15, axiom, % 4.20/4.40 a453 = $i!val!9). % 4.20/4.40 tff(formula16, axiom, % 4.20/4.40 ssSkC28 <=> $true). % 4.20/4.40 tff(formula17, axiom, % 4.20/4.40 a304 = $i!val!13). % 4.20/4.40 tff(formula18, axiom, % 4.20/4.40 c1_0 <=> $false). % 4.20/4.40 tff(formula19, axiom, % 4.20/4.40 ssSkC23 <=> $false). % 4.20/4.40 tff(formula20, axiom, % 4.20/4.40 a431 = $i!val!51). % 4.20/4.40 tff(formula21, axiom, % 4.20/4.40 a320 = $i!val!8). % 4.20/4.40 tff(formula22, axiom, % 4.20/4.40 a416 = $i!val!43). % 4.20/4.40 tff(formula23, axiom, % 4.20/4.40 a407 = $i!val!31). % 4.20/4.40 tff(formula24, axiom, % 4.20/4.40 a306 = $i!val!32). % 4.20/4.40 tff(formula25, axiom, % 4.20/4.40 a442 = $i!val!20). % 4.20/4.40 tff(formula26, axiom, % 4.20/4.40 a400 = $i!val!10). % 4.20/4.40 tff(formula27, axiom, % 4.20/4.40 ssSkC2 <=> $false). % 4.20/4.40 tff(formula28, axiom, % 4.20/4.40 c4_0 <=> $false). % 4.20/4.40 tff(formula29, axiom, % 4.20/4.40 a420 = $i!val!1). % 4.20/4.40 tff(formula30, axiom, % 4.20/4.40 a436 = $i!val!15). % 4.20/4.40 tff(formula31, axiom, % 4.20/4.40 a437 = $i!val!57). % 4.20/4.40 tff(formula32, axiom, % 4.20/4.40 ssSkC9 <=> $true). % 4.20/4.40 tff(formula33, axiom, % 4.20/4.40 ssSkC17 <=> $true). % 4.20/4.40 tff(formula34, axiom, % 4.20/4.40 a352 = $i!val!12). % 4.20/4.40 tff(formula35, axiom, % 4.20/4.40 ssSkC12 <=> $false). % 4.20/4.40 tff(formula36, axiom, % 4.20/4.40 a353 = $i!val!27). % 4.20/4.40 tff(formula37, axiom, % 4.20/4.40 a366 = $i!val!31). % 4.20/4.40 tff(formula38, axiom, % 4.20/4.40 a342 = $i!val!6). % 4.20/4.40 tff(formula39, axiom, % 4.20/4.40 a439 = $i!val!15). % 4.20/4.40 tff(formula40, axiom, % 4.20/4.40 a443 = $i!val!32). % 4.20/4.40 tff(formula41, axiom, % 4.20/4.40 a372 = $i!val!59). % 4.20/4.40 tff(formula42, axiom, % 4.20/4.40 a424 = $i!val!16). % 4.20/4.40 tff(formula43, axiom, % 4.20/4.40 a413 = $i!val!23). % 4.20/4.40 tff(formula44, axiom, % 4.20/4.40 ndr1_0 <=> $true). % 4.20/4.40 tff(formula45, axiom, % 4.20/4.40 c3_0 <=> $true). % 4.20/4.40 tff(formula46, axiom, % 4.20/4.40 ssSkC25 <=> $false). % 4.20/4.40 tff(formula47, axiom, % 4.20/4.40 ssSkC7 <=> $false). % 4.20/4.40 tff(formula48, axiom, % 4.20/4.40 a365 = $i!val!4). % 4.20/4.40 tff(formula49, axiom, % 4.20/4.40 ssSkC8 <=> $true). % 4.20/4.40 tff(formula50, axiom, % 4.20/4.40 ssSkC6 <=> $false). % 4.20/4.40 tff(formula51, axiom, % 4.20/4.40 a344 = $i!val!31). % 4.20/4.40 tff(formula52, axiom, % 4.20/4.40 a371 = $i!val!31). % 4.20/4.40 tff(formula53, axiom, % 4.20/4.40 a327 = $i!val!62). % 4.20/4.40 tff(formula54, axiom, % 4.20/4.40 a317 = $i!val!7). % 4.20/4.40 tff(formula55, axiom, % 4.20/4.40 a325 = $i!val!13). % 4.20/4.40 tff(formula56, axiom, % 4.20/4.40 a428 = $i!val!21). % 4.20/4.40 tff(formula57, axiom, % 4.20/4.40 a441 = $i!val!31). % 4.20/4.40 tff(formula58, axiom, % 4.20/4.40 a429 = $i!val!37). % 4.20/4.40 tff(formula59, axiom, % 4.20/4.40 c5_0 <=> $false). % 4.20/4.40 tff(formula60, axiom, % 4.20/4.40 a378 = $i!val!44). % 4.20/4.40 tff(formula61, axiom, % 4.20/4.40 a357 = $i!val!28). % 4.20/4.40 tff(formula62, axiom, % 4.20/4.40 a356 = $i!val!31). % 4.20/4.40 tff(formula63, axiom, % 4.20/4.40 a432 = $i!val!35). % 4.20/4.40 tff(formula64, axiom, % 4.20/4.40 a438 = $i!val!1). % 4.20/4.40 tff(formula65, axiom, % 4.20/4.40 a412 = $i!val!1). % 4.20/4.40 tff(formula66, axiom, % 4.20/4.40 ssSkC24 <=> $true). % 4.20/4.40 tff(formula67, axiom, % 4.20/4.40 a433 = $i!val!1). % 4.20/4.40 tff(formula68, axiom, % 4.20/4.40 ssSkC4 <=> $true). % 4.20/4.40 tff(formula69, axiom, % 4.20/4.40 ssSkC15 <=> $true). % 4.20/4.40 tff(formula70, axiom, % 4.20/4.40 a305 = $i!val!28). % 4.20/4.40 tff(formula71, axiom, % 4.20/4.40 a394 = $i!val!60). % 4.20/4.40 tff(formula72, axiom, % 4.20/4.40 c7_0 <=> $true). % 4.20/4.40 tff(formula73, axiom, % 4.20/4.40 a311 = $i!val!28). % 4.20/4.40 tff(formula74, axiom, % 4.20/4.40 a418 = $i!val!34). % 4.20/4.40 tff(formula75, axiom, % 4.20/4.41 ssSkC20 <=> $true). % 4.20/4.41 tff(formula76, axiom, % 4.20/4.41 ssSkC1 <=> $true). % 4.20/4.41 tff(formula77, axiom, % 4.20/4.41 a405 = $i!val!32). % 4.20/4.41 tff(formula78, axiom, % 4.20/4.41 a419 = $i!val!15). % 4.20/4.41 tff(formula79, axiom, % 4.20/4.41 ssSkC19 <=> $false). % 4.20/4.41 tff(formula80, axiom, % 4.20/4.41 a337 = $i!val!45). % 4.20/4.41 tff(formula81, axiom, % 4.20/4.41 ssSkC22 <=> $true). % 4.20/4.41 tff(formula82, axiom, % 4.20/4.41 a379 = $i!val!11). % 4.20/4.41 tff(formula83, axiom, % 4.20/4.41 ssSkC26 <=> $true). % 4.20/4.41 tff(formula84, axiom, % 4.20/4.41 a390 = $i!val!41). % 4.20/4.41 tff(formula85, axiom, % 4.20/4.41 a408 = $i!val!15). % 4.20/4.41 tff(formula86, axiom, % 4.20/4.41 a384 = $i!val!31). % 4.20/4.41 tff(formula87, axiom, % 4.20/4.41 a326 = $i!val!52). % 4.20/4.41 tff(formula88, axiom, % 4.20/4.41 a364 = $i!val!1). % 4.20/4.41 tff(formula89, axiom, % 4.20/4.41 a322 = $i!val!61). % 4.20/4.41 tff(formula90, axiom, % 4.20/4.41 a410 = $i!val!49). % 4.20/4.41 tff(formula91, axiom, % 4.20/4.41 ssSkC14 <=> $false). % 4.20/4.41 tff(formula92, axiom, % 4.20/4.41 a300 = $i!val!8). % 4.20/4.41 tff(formula93, axiom, % 4.20/4.41 a340 = $i!val!39). % 4.20/4.41 tff(formula94, axiom, % 4.20/4.41 a392 = $i!val!15). % 4.20/4.41 tff(formula95, axiom, % 4.20/4.41 a343 = $i!val!17). % 4.20/4.41 tff(formula96, axiom, % 4.20/4.41 a401 = $i!val!56). % 4.20/4.41 tff(formula97, axiom, % 4.20/4.41 a363 = $i!val!63). % 4.20/4.41 tff(formula98, axiom, % 4.20/4.41 ssSkC3 <=> $false). % 4.20/4.41 tff(formula99, axiom, % 4.20/4.41 a361 = $i!val!8). % 4.20/4.41 tff(formula100, axiom, % 4.20/4.41 a444 = $i!val!37). % 4.20/4.41 tff(formula101, axiom, % 4.20/4.41 a339 = $i!val!37). % 4.20/4.41 tff(formula102, axiom, % 4.20/4.41 c2_0 <=> $false). % 4.20/4.41 tff(formula103, axiom, % 4.20/4.41 c6_0 <=> $false). % 4.20/4.41 tff(formula104, axiom, % 4.20/4.41 a359 = $i!val!38). % 4.20/4.41 tff(formula105, axiom, % 4.20/4.41 a423 = $i!val!2). % 4.20/4.41 tff(formula106, axiom, % 4.20/4.41 a301 = $i!val!19). % 4.20/4.41 tff(formula107, axiom, % 4.20/4.41 a385 = $i!val!24). % 4.20/4.41 tff(formula108, axiom, % 4.20/4.41 a425 = $i!val!22). % 4.20/4.41 tff(formula109, axiom, % 4.20/4.41 a309 = $i!val!0). % 4.20/4.41 tff(formula110, axiom, % 4.20/4.41 a315 = $i!val!18). % 4.20/4.41 tff(formula111, axiom, % 4.20/4.41 ssSkC5 <=> $true). % 4.20/4.41 tff(formula112, axiom, % 4.20/4.41 ssSkC18 <=> $false). % 4.20/4.41 tff(formula113, axiom, % 4.20/4.41 a404 = $i!val!40). % 4.20/4.41 tff(formula114, axiom, % 4.20/4.41 a333 = $i!val!58). % 4.20/4.41 tff(formula115, axiom, % 4.20/4.41 ssSkC0 <=> $false). % 4.20/4.41 tff(formula116, axiom, % 4.20/4.41 ssSkC27 <=> $true). % 4.20/4.41 tff(formula117, axiom, % 4.20/4.41 a360 = $i!val!55). % 4.20/4.41 tff(formula118, axiom, % 4.20/4.41 a435 = $i!val!8). % 4.20/4.41 tff(formula119, axiom, % 4.20/4.41 a369 = $i!val!25). % 4.20/4.41 tff(formula120, axiom, % 4.20/4.41 ssSkC16 <=> $false). % 4.20/4.41 tff(formula121, axiom, % 4.20/4.41 ssSkC10 <=> $false). % 4.20/4.41 tff(formula122, axiom, % 4.20/4.41 a397 = $i!val!3). % 4.20/4.41 tff(formula123, axiom, % 4.20/4.41 ssSkC11 <=> $false). % 4.20/4.41 tff(formula124, axiom, % 4.20/4.41 a440 = $i!val!14). % 4.20/4.41 tff(formula125, axiom, % 4.20/4.41 a350 = $i!val!15). % 4.20/4.41 tff(formula126, axiom, % 4.20/4.41 a354 = $i!val!5). % 4.20/4.41 tff(formula127, axiom, % 4.20/4.41 a321 = $i!val!50). % 4.20/4.41 tff(formula128, axiom, % 4.20/4.41 a307 = $i!val!28). % 4.20/4.41 tff(formula129, axiom, % 4.20/4.41 a393 = $i!val!53). % 4.20/4.41 tff(formula130, axiom, % 4.20/4.41 a299 = $i!val!0). % 4.20/4.41 tff(formula131, axiom, % 4.20/4.41 a318 = $i!val!32). % 4.20/4.41 tff(formula132, axiom, % 4.20/4.41 a319 = $i!val!31). % 4.20/4.41 tff(formula133, axiom, % 4.20/4.41 a421 = $i!val!32). % 4.20/4.41 tff(formula134, axiom, % 4.20/4.41 a417 = $i!val!30). % 4.20/4.41 tff(formula135, axiom, % 4.20/4.41 a448 = $i!val!8). % 4.20/4.41 tff(formula136, axiom, % 4.20/4.41 a402 = $i!val!8). % 4.20/4.41 tff(formula137, axiom, % 4.20/4.41 a389 = $i!val!37). % 4.20/4.41 tff(formula138, axiom, % 4.20/4.41 a351 = $i!val!48). % 4.20/4.41 tff(formula139, axiom, % 4.20/4.41 a367 = $i!val!31). % 4.20/4.41 tff(formula140, axiom, % 4.20/4.41 a362 = $i!val!54). % 4.20/4.41 tff(formula141, axiom, % 4.20/4.41 a434 = $i!val!46). % 4.20/4.41 tff(formula142, axiom, % 4.20/4.41 a426 = $i!val!29). % 4.20/4.41 tff(formula143, axiom, % 4.20/4.41 a310 = $i!val!31). % 4.20/4.41 tff(formula144, axiom, % 4.20/4.41 a355 = $i!val!26). % 4.20/4.41 tff(formula145, axiom, % 4.20/4.41 ![X0: $i] : (ndr1_1(X0) <=> ((k!873(X0) = $i!val!2) | (k!873(X0) = $i!val!28) | (k!873(X0) = $i!val!8) | (k!873(X0) = $i!val!22) | (k!873(X0) = $i!val!24) | (k!873(X0) = $i!val!21) | (k!873(X0) = $i!val!30) | (k!873(X0) = $i!val!13) | (k!873(X0) = $i!val!10) | (k!873(X0) = $i!val!23) | (k!873(X0) = $i!val!20)))). % 4.20/4.41 tff(formula146, axiom, % 4.20/4.41 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!37)) | ((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!42))))). % 4.20/4.41 tff(formula147, axiom, % 4.20/4.41 k!873($i!val!28) = $i!val!28). % 4.20/4.41 tff(formula148, axiom, % 4.20/4.41 k!873($i!val!2) = $i!val!2). % 4.20/4.41 tff(formula149, axiom, % 4.20/4.41 k!873($i!val!24) = $i!val!24). % 4.20/4.41 tff(formula150, axiom, % 4.20/4.41 k!873($i!val!6) = $i!val!6). % 4.20/4.41 tff(formula151, axiom, % 4.20/4.41 k!873($i!val!22) = $i!val!22). % 4.20/4.41 tff(formula152, axiom, % 4.20/4.41 k!873($i!val!0) = $i!val!0). % 4.20/4.41 tff(formula153, axiom, % 4.20/4.41 k!873($i!val!18) = $i!val!18). % 4.20/4.41 tff(formula154, axiom, % 4.20/4.41 k!873($i!val!23) = $i!val!23). % 4.20/4.41 tff(formula155, axiom, % 4.20/4.41 k!873($i!val!4) = $i!val!4). % 4.20/4.41 tff(formula156, axiom, % 4.20/4.41 k!873($i!val!25) = $i!val!25). % 4.20/4.41 tff(formula157, axiom, % 4.20/4.41 k!873($i!val!3) = $i!val!3). % 4.20/4.41 tff(formula158, axiom, % 4.20/4.41 k!873($i!val!11) = $i!val!11). % 4.20/4.41 tff(formula159, axiom, % 4.20/4.41 k!873($i!val!9) = $i!val!9). % 4.20/4.41 tff(formula160, axiom, % 4.20/4.41 k!873($i!val!50) = $i!val!50). % 4.20/4.41 tff(formula161, axiom, % 4.20/4.41 k!873($i!val!5) = $i!val!5). % 4.20/4.41 tff(formula162, axiom, % 4.20/4.41 k!873($i!val!53) = $i!val!53). % 4.20/4.41 tff(formula163, axiom, % 4.20/4.41 k!873($i!val!51) = $i!val!51). % 4.20/4.41 tff(formula164, axiom, % 4.20/4.41 k!873($i!val!30) = $i!val!30). % 4.20/4.41 tff(formula165, axiom, % 4.20/4.41 k!873($i!val!7) = $i!val!7). % 4.20/4.41 tff(formula166, axiom, % 4.20/4.41 k!873($i!val!52) = $i!val!52). % 4.20/4.41 tff(formula167, axiom, % 4.20/4.41 k!873($i!val!13) = $i!val!13). % 4.20/4.41 tff(formula168, axiom, % 4.20/4.41 k!873($i!val!21) = $i!val!21). % 4.20/4.41 tff(formula169, axiom, % 4.20/4.41 k!873($i!val!49) = $i!val!49). % 4.20/4.41 tff(formula170, axiom, % 4.20/4.41 k!873($i!val!20) = $i!val!20). % 4.20/4.41 tff(formula171, axiom, % 4.20/4.41 k!873($i!val!48) = $i!val!48). % 4.20/4.41 tff(formula172, axiom, % 4.20/4.41 k!873($i!val!10) = $i!val!10). % 4.20/4.41 tff(formula173, axiom, % 4.20/4.41 k!873($i!val!8) = $i!val!8). % 4.20/4.41 tff(formula174, axiom, % 4.20/4.41 k!873($i!val!54) = $i!val!54). % 4.20/4.41 tff(formula175, axiom, % 4.20/4.41 k!873($i!val!1) = $i!val!1). % 4.20/4.41 tff(formula176, axiom, % 4.20/4.41 k!873($i!val!26) = $i!val!26). % 4.20/4.41 tff(formula177, axiom, % 4.20/4.41 ![X0: $i] : ((~((($i!val!28 = X0)) | (($i!val!2 = X0)) | (($i!val!24 = X0)) | (($i!val!6 = X0)) | (($i!val!22 = X0)) | (($i!val!0 = X0)) | (($i!val!18 = X0)) | (($i!val!23 = X0)) | (($i!val!4 = X0)) | (($i!val!25 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!50 = X0)) | (($i!val!5 = X0)) | (($i!val!53 = X0)) | (($i!val!51 = X0)) | (($i!val!30 = X0)) | (($i!val!7 = X0)) | (($i!val!52 = X0)) | (($i!val!13 = X0)) | (($i!val!21 = X0)) | (($i!val!49 = X0)) | (($i!val!20 = X0)) | (($i!val!48 = X0)) | (($i!val!10 = X0)) | (($i!val!8 = X0)) | (($i!val!54 = X0)) | (($i!val!1 = X0)) | (($i!val!26 = X0)))) => (k!873(X0) = $i!val!12))). % 4.20/4.41 tff(formula178, axiom, % 4.20/4.41 ![X0: $i] : (c5_1(X0) <=> ((k!873(X0) = $i!val!5) | (k!873(X0) = $i!val!24) | (k!873(X0) = $i!val!30) | (k!873(X0) = $i!val!10)))). % 4.20/4.41 tff(formula179, axiom, % 4.20/4.41 ![X0: $i] : (ssSkP0(X0) <=> (~(k!873(X0) = $i!val!8)))). % 4.20/4.41 tff(formula180, axiom, % 4.20/4.41 ![X0: $i] : (c3_1(X0) <=> ((k!873(X0) = $i!val!0) | (k!873(X0) = $i!val!8) | (k!873(X0) = $i!val!22) | (k!873(X0) = $i!val!21) | (k!873(X0) = $i!val!9)))). % 4.20/4.41 tff(formula181, axiom, % 4.20/4.41 ![X0: $i] : (c2_1(X0) <=> ((k!873(X0) = $i!val!24) | (k!873(X0) = $i!val!8)))). % 4.20/4.41 tff(formula182, axiom, % 4.20/4.41 k!874($i!val!27) = $i!val!27). % 4.20/4.41 tff(formula183, axiom, % 4.20/4.41 k!874($i!val!56) = $i!val!56). % 4.20/4.41 tff(formula184, axiom, % 4.20/4.41 k!874($i!val!63) = $i!val!63). % 4.20/4.41 tff(formula185, axiom, % 4.20/4.41 k!874($i!val!60) = $i!val!60). % 4.20/4.41 tff(formula186, axiom, % 4.20/4.41 k!874($i!val!38) = $i!val!38). % 4.20/4.41 tff(formula187, axiom, % 4.20/4.41 k!874($i!val!40) = $i!val!40). % 4.20/4.41 tff(formula188, axiom, % 4.20/4.41 k!874($i!val!19) = $i!val!19). % 4.20/4.41 tff(formula189, axiom, % 4.20/4.41 k!874($i!val!36) = $i!val!36). % 4.20/4.41 tff(formula190, axiom, % 4.20/4.41 k!874($i!val!42) = $i!val!42). % 4.20/4.41 tff(formula191, axiom, % 4.20/4.41 k!874($i!val!34) = $i!val!34). % 4.20/4.41 tff(formula192, axiom, % 4.20/4.41 k!874($i!val!58) = $i!val!58). % 4.20/4.41 tff(formula193, axiom, % 4.20/4.41 k!874($i!val!47) = $i!val!47). % 4.20/4.41 tff(formula194, axiom, % 4.20/4.41 k!874($i!val!59) = $i!val!59). % 4.20/4.41 tff(formula195, axiom, % 4.20/4.41 k!874($i!val!15) = $i!val!15). % 4.20/4.41 tff(formula196, axiom, % 4.20/4.41 k!874($i!val!16) = $i!val!16). % 4.20/4.41 tff(formula197, axiom, % 4.20/4.41 k!874($i!val!45) = $i!val!45). % 4.20/4.41 tff(formula198, axiom, % 4.20/4.41 k!874($i!val!55) = $i!val!55). % 4.20/4.41 tff(formula199, axiom, % 4.20/4.41 k!874($i!val!33) = $i!val!33). % 4.20/4.41 tff(formula200, axiom, % 4.20/4.41 k!874($i!val!14) = $i!val!14). % 4.20/4.41 tff(formula201, axiom, % 4.20/4.41 k!874($i!val!41) = $i!val!41). % 4.20/4.41 tff(formula202, axiom, % 4.20/4.41 k!874($i!val!62) = $i!val!62). % 4.20/4.41 tff(formula203, axiom, % 4.20/4.41 k!874($i!val!43) = $i!val!43). % 4.20/4.41 tff(formula204, axiom, % 4.20/4.41 k!874($i!val!32) = $i!val!32). % 4.20/4.41 tff(formula205, axiom, % 4.20/4.41 k!874($i!val!61) = $i!val!61). % 4.20/4.41 tff(formula206, axiom, % 4.20/4.41 k!874($i!val!37) = $i!val!37). % 4.20/4.41 tff(formula207, axiom, % 4.20/4.41 k!874($i!val!44) = $i!val!44). % 4.20/4.41 tff(formula208, axiom, % 4.20/4.41 k!874($i!val!35) = $i!val!35). % 4.20/4.41 tff(formula209, axiom, % 4.20/4.41 k!874($i!val!31) = $i!val!31). % 4.20/4.41 tff(formula210, axiom, % 4.20/4.41 k!874($i!val!39) = $i!val!39). % 4.20/4.41 tff(formula211, axiom, % 4.20/4.41 k!874($i!val!29) = $i!val!29). % 4.20/4.41 tff(formula212, axiom, % 4.20/4.41 k!874($i!val!46) = $i!val!46). % 4.20/4.41 tff(formula213, axiom, % 4.20/4.41 k!874($i!val!57) = $i!val!57). % 4.20/4.41 tff(formula214, axiom, % 4.20/4.41 ![X0: $i] : ((~((($i!val!27 = X0)) | (($i!val!56 = X0)) | (($i!val!63 = X0)) | (($i!val!60 = X0)) | (($i!val!38 = X0)) | (($i!val!40 = X0)) | (($i!val!19 = X0)) | (($i!val!36 = X0)) | (($i!val!42 = X0)) | (($i!val!34 = X0)) | (($i!val!58 = X0)) | (($i!val!47 = X0)) | (($i!val!59 = X0)) | (($i!val!15 = X0)) | (($i!val!16 = X0)) | (($i!val!45 = X0)) | (($i!val!55 = X0)) | (($i!val!33 = X0)) | (($i!val!14 = X0)) | (($i!val!41 = X0)) | (($i!val!62 = X0)) | (($i!val!43 = X0)) | (($i!val!32 = X0)) | (($i!val!61 = X0)) | (($i!val!37 = X0)) | (($i!val!44 = X0)) | (($i!val!35 = X0)) | (($i!val!31 = X0)) | (($i!val!39 = X0)) | (($i!val!29 = X0)) | (($i!val!46 = X0)) | (($i!val!57 = X0)))) => (k!874(X0) = $i!val!17))). % 4.20/4.41 tff(formula215, axiom, % 4.20/4.41 ![X0: $i] : (c4_1(X0) <=> ((k!873(X0) = $i!val!30) | (k!873(X0) = $i!val!13)))). % 4.20/4.41 tff(formula216, axiom, % 4.20/4.41 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!873(X1) = $i!val!13) & (k!874(X0) = $i!val!35)) | ((k!873(X1) = $i!val!30) & (k!874(X0) = $i!val!40)) | ((k!873(X1) = $i!val!2) & (k!874(X0) = $i!val!40)) | ((k!873(X1) = $i!val!20) & (k!874(X0) = $i!val!40)) | ((k!873(X1) = $i!val!22) & (k!874(X0) = $i!val!40)) | ((k!873(X1) = $i!val!23) & (k!874(X0) = $i!val!35)) | ((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!35)) | ((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!42)) | ((k!873(X1) = $i!val!13) & (k!874(X0) = $i!val!40)) | ((k!873(X1) = $i!val!23) & (k!874(X0) = $i!val!40))))). % 4.20/4.41 tff(formula217, axiom, % 4.20/4.41 ![X0: $i] : (ssSkP1(X0) <=> ((~(k!873(X0) = $i!val!22)) & (~(k!873(X0) = $i!val!28)) & (~(k!873(X0) = $i!val!20)) & (~(k!873(X0) = $i!val!23)) & (~(k!873(X0) = $i!val!13)) & (~(k!873(X0) = $i!val!2)) & (~(k!873(X0) = $i!val!10)) & (~(k!873(X0) = $i!val!21))))). % 4.20/4.42 tff(formula218, axiom, % 4.20/4.42 ![X0: $i] : (c1_1(X0) <=> ((k!873(X0) = $i!val!49) | (k!873(X0) = $i!val!24)))). % 4.20/4.42 tff(formula219, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!873(X1) = $i!val!8) & (k!874(X0) = $i!val!39))) & (~((k!873(X1) = $i!val!22) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!13) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!30) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!20) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!23) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!2) & (k!874(X0) = $i!val!40))) & (~((k!873(X1) = $i!val!30) & (k!874(X0) = $i!val!46))) & (~((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!46))) & (~((k!873(X1) = $i!val!0) & (k!874(X0) = $i!val!46))) & (~((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!45))) & (~((k!873(X1) = $i!val!30) & (k!874(X0) = $i!val!34))) & (~((k!873(X1) = $i!val!28) & (k!874(X0) = $i!val!32))) & (~((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!33)))))). % 4.20/4.42 tff(formula220, axiom, % 4.20/4.42 ![X0: $i] : (ssSkP4(X0) <=> ((~(k!873(X0) = $i!val!13)) & (~(k!873(X0) = $i!val!23)) & (~(k!873(X0) = $i!val!24))))). % 4.20/4.42 tff(formula221, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!873(X1) = $i!val!22) & (k!874(X0) = $i!val!29)))). % 4.20/4.42 tff(formula222, axiom, % 4.20/4.42 ![X0: $i] : (c7_1(X0) <=> ((k!873(X0) = $i!val!5) | (k!873(X0) = $i!val!10)))). % 4.20/4.42 tff(formula223, axiom, % 4.20/4.42 ![X0: $i] : (ssSkP2(X0) <=> (~(k!873(X0) = $i!val!24)))). % 4.20/4.42 tff(formula224, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!45)) | ((k!873(X1) = $i!val!8) & (k!874(X0) = $i!val!19))))). % 4.20/4.42 tff(formula225, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!873(X1) = $i!val!21) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!10) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!13) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!28) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!23) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!20) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!22) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!2) & (k!874(X0) = $i!val!38)) | ((k!873(X1) = $i!val!28) & (k!874(X0) = $i!val!32)) | ((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!45))))). % 4.20/4.42 tff(formula226, axiom, % 4.20/4.42 ![X0: $i] : (c8_1(X0) <=> ((~(k!873(X0) = $i!val!13)) & (~(k!873(X0) = $i!val!30)) & (~(k!873(X0) = $i!val!23)) & (~(k!873(X0) = $i!val!20)) & (~(k!873(X0) = $i!val!2))))). % 4.20/4.42 tff(formula227, axiom, % 4.20/4.42 ![X0: $i] : (c6_1(X0) <=> (k!873(X0) = $i!val!13))). % 4.20/4.42 tff(formula228, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!44)) | ((k!873(X1) = $i!val!13) & (k!874(X0) = $i!val!35)) | ((k!873(X1) = $i!val!8) & (k!874(X0) = $i!val!39)) | ((k!873(X1) = $i!val!23) & (k!874(X0) = $i!val!35)) | ((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!35))))). % 4.20/4.42 tff(formula229, axiom, % 4.20/4.42 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!873(X1) = $i!val!24) & (k!874(X0) = $i!val!37)) | ((k!873(X1) = $i!val!28) & (k!874(X0) = $i!val!32))))). % 4.20/4.42 tff(formula230, axiom, % 4.20/4.42 ![X0: $i] : (ssSkP3(X0) <=> ((~(k!873(X0) = $i!val!22)) & (~(k!873(X0) = $i!val!21)) & (~(k!873(X0) = $i!val!10)) & (~(k!873(X0) = $i!val!8)) & (~(k!873(X0) = $i!val!20)) & (~(k!873(X0) = $i!val!23)) & (~(k!873(X0) = $i!val!13)) & (~(k!873(X0) = $i!val!2)) & (~(k!873(X0) = $i!val!28)) & (~(k!873(X0) = $i!val!30)) & (~(k!873(X0) = $i!val!24))))). % 4.20/4.42 % SZS output end Model % 4.27/4.43 % E exiting %------------------------------------------------------------------------------