%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN422-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n013.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 05:39:02 AM UTC 2025 % Result : Satisfiable 1.83s 2.00s % Output : Model 1.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN422-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 20 12:34:08 EDT 2025 % 0.12/0.34 % CPUTime : % 1.83/2.00 % SZS status Satisfiable % 1.83/2.00 % SZS output start Model % 1.83/2.00 tff(tptp_fun__i_val_27_type, type, ( % 1.83/2.00 tptp_fun__i_val_27: $i)). % 1.83/2.00 tff(a614_type, type, ( % 1.83/2.00 a614: $i)). % 1.83/2.00 tff(tptp_fun__i_val_37_type, type, ( % 1.83/2.00 tptp_fun__i_val_37: $i)). % 1.83/2.00 tff(a685_type, type, ( % 1.83/2.00 a685: $i)). % 1.83/2.00 tff(tptp_fun__i_val_15_type, type, ( % 1.83/2.00 tptp_fun__i_val_15: $i)). % 1.83/2.00 tff(a658_type, type, ( % 1.83/2.00 a658: $i)). % 1.83/2.00 tff(c9_0_type, type, ( % 1.83/2.00 c9_0: $o)). % 1.83/2.00 tff(tptp_fun__i_val_31_type, type, ( % 1.83/2.00 tptp_fun__i_val_31: $i)). % 1.83/2.00 tff(a634_type, type, ( % 1.83/2.00 a634: $i)). % 1.83/2.00 tff(ssSkC13_type, type, ( % 1.83/2.00 ssSkC13: $o)). % 1.83/2.00 tff(c8_0_type, type, ( % 1.83/2.00 c8_0: $o)). % 1.83/2.00 tff(a610_type, type, ( % 1.83/2.00 a610: $i)). % 1.83/2.00 tff(a679_type, type, ( % 1.83/2.00 a679: $i)). % 1.83/2.00 tff(ssSkC21_type, type, ( % 1.83/2.00 ssSkC21: $o)). % 1.83/2.00 tff(tptp_fun__i_val_32_type, type, ( % 1.83/2.00 tptp_fun__i_val_32: $i)). % 1.83/2.00 tff(a717_type, type, ( % 1.83/2.00 a717: $i)). % 1.83/2.00 tff(tptp_fun__i_val_8_type, type, ( % 1.83/2.00 tptp_fun__i_val_8: $i)). % 1.83/2.00 tff(a639_type, type, ( % 1.83/2.00 a639: $i)). % 1.83/2.00 tff(ssSkC34_type, type, ( % 1.83/2.00 ssSkC34: $o)). % 1.83/2.00 tff(ssSkC33_type, type, ( % 1.83/2.00 ssSkC33: $o)). % 1.83/2.00 tff(tptp_fun__i_val_19_type, type, ( % 1.83/2.00 tptp_fun__i_val_19: $i)). % 1.83/2.00 tff(a664_type, type, ( % 1.83/2.00 a664: $i)). % 1.83/2.00 tff(a684_type, type, ( % 1.83/2.00 a684: $i)). % 1.83/2.00 tff(c10_0_type, type, ( % 1.83/2.00 c10_0: $o)). % 1.83/2.00 tff(ssSkC28_type, type, ( % 1.83/2.00 ssSkC28: $o)). % 1.83/2.00 tff(a731_type, type, ( % 1.83/2.00 a731: $i)). % 1.83/2.00 tff(c1_0_type, type, ( % 1.83/2.00 c1_0: $o)). % 1.83/2.00 tff(ssSkC23_type, type, ( % 1.83/2.00 ssSkC23: $o)). % 1.83/2.00 tff(a646_type, type, ( % 1.83/2.00 a646: $i)). % 1.83/2.00 tff(tptp_fun__i_val_24_type, type, ( % 1.83/2.00 tptp_fun__i_val_24: $i)). % 1.83/2.00 tff(a672_type, type, ( % 1.83/2.00 a672: $i)). % 1.83/2.00 tff(tptp_fun__i_val_30_type, type, ( % 1.83/2.00 tptp_fun__i_val_30: $i)). % 1.83/2.00 tff(a612_type, type, ( % 1.83/2.00 a612: $i)). % 1.83/2.00 tff(ssSkC35_type, type, ( % 1.83/2.00 ssSkC35: $o)). % 1.83/2.00 tff(tptp_fun__i_val_2_type, type, ( % 1.83/2.00 tptp_fun__i_val_2: $i)). % 1.83/2.00 tff(a734_type, type, ( % 1.83/2.00 a734: $i)). % 1.83/2.00 tff(a682_type, type, ( % 1.83/2.00 a682: $i)). % 1.83/2.00 tff(tptp_fun__i_val_38_type, type, ( % 1.83/2.00 tptp_fun__i_val_38: $i)). % 1.83/2.00 tff(a624_type, type, ( % 1.83/2.00 a624: $i)). % 1.83/2.00 tff(a652_type, type, ( % 1.83/2.00 a652: $i)). % 1.83/2.00 tff(tptp_fun__i_val_12_type, type, ( % 1.83/2.00 tptp_fun__i_val_12: $i)). % 1.83/2.00 tff(a740_type, type, ( % 1.83/2.00 a740: $i)). % 1.83/2.00 tff(ssSkC2_type, type, ( % 1.83/2.00 ssSkC2: $o)). % 1.83/2.00 tff(tptp_fun__i_val_28_type, type, ( % 1.83/2.00 tptp_fun__i_val_28: $i)). % 1.83/2.00 tff(a613_type, type, ( % 1.83/2.00 a613: $i)). % 1.83/2.00 tff(c4_0_type, type, ( % 1.83/2.00 c4_0: $o)). % 1.83/2.00 tff(tptp_fun__i_val_29_type, type, ( % 1.83/2.00 tptp_fun__i_val_29: $i)). % 1.83/2.00 tff(a643_type, type, ( % 1.83/2.00 a643: $i)). % 1.83/2.00 tff(ssSkC9_type, type, ( % 1.83/2.00 ssSkC9: $o)). % 1.83/2.00 tff(a733_type, type, ( % 1.83/2.00 a733: $i)). % 1.83/2.00 tff(ssSkC17_type, type, ( % 1.83/2.00 ssSkC17: $o)). % 1.83/2.00 tff(tptp_fun__i_val_3_type, type, ( % 1.83/2.00 tptp_fun__i_val_3: $i)). % 1.83/2.00 tff(a703_type, type, ( % 1.83/2.00 a703: $i)). % 1.83/2.00 tff(ssSkC12_type, type, ( % 1.83/2.00 ssSkC12: $o)). % 1.83/2.00 tff(a677_type, type, ( % 1.83/2.00 a677: $i)). % 1.83/2.00 tff(tptp_fun__i_val_22_type, type, ( % 1.83/2.00 tptp_fun__i_val_22: $i)). % 1.83/2.00 tff(a609_type, type, ( % 1.83/2.00 a609: $i)). % 1.83/2.00 tff(a650_type, type, ( % 1.83/2.00 a650: $i)). % 1.83/2.00 tff(ssSkC30_type, type, ( % 1.83/2.00 ssSkC30: $o)). % 1.83/2.00 tff(tptp_fun__i_val_39_type, type, ( % 1.83/2.00 tptp_fun__i_val_39: $i)). % 1.83/2.00 tff(a752_type, type, ( % 1.83/2.00 a752: $i)). % 1.83/2.00 tff(tptp_fun__i_val_0_type, type, ( % 1.83/2.00 tptp_fun__i_val_0: $i)). % 1.83/2.00 tff(a713_type, type, ( % 1.83/2.00 a713: $i)). % 1.83/2.00 tff(a750_type, type, ( % 1.83/2.00 a750: $i)). % 1.83/2.00 tff(tptp_fun__i_val_42_type, type, ( % 1.83/2.00 tptp_fun__i_val_42: $i)). % 1.83/2.00 tff(a690_type, type, ( % 1.83/2.00 a690: $i)). % 1.83/2.00 tff(a712_type, type, ( % 1.83/2.00 a712: $i)). % 1.83/2.00 tff(tptp_fun__i_val_48_type, type, ( % 1.83/2.00 tptp_fun__i_val_48: $i)). % 1.83/2.00 tff(a726_type, type, ( % 1.83/2.00 a726: $i)). % 1.83/2.00 tff(a653_type, type, ( % 1.83/2.00 a653: $i)). % 1.83/2.00 tff(ndr1_0_type, type, ( % 1.83/2.00 ndr1_0: $o)). % 1.83/2.00 tff(c3_0_type, type, ( % 1.83/2.00 c3_0: $o)). % 1.83/2.00 tff(ssSkC25_type, type, ( % 1.83/2.00 ssSkC25: $o)). % 1.83/2.00 tff(ssSkC7_type, type, ( % 1.83/2.00 ssSkC7: $o)). % 1.83/2.00 tff(tptp_fun__i_val_45_type, type, ( % 1.83/2.00 tptp_fun__i_val_45: $i)). % 1.83/2.00 tff(a691_type, type, ( % 1.83/2.00 a691: $i)). % 1.83/2.00 tff(tptp_fun__i_val_46_type, type, ( % 1.83/2.00 tptp_fun__i_val_46: $i)). % 1.83/2.00 tff(a748_type, type, ( % 1.83/2.00 a748: $i)). % 1.83/2.00 tff(a666_type, type, ( % 1.83/2.00 a666: $i)). % 1.83/2.00 tff(a715_type, type, ( % 1.83/2.00 a715: $i)). % 1.83/2.00 tff(a633_type, type, ( % 1.83/2.00 a633: $i)). % 1.83/2.00 tff(ssSkC8_type, type, ( % 1.83/2.00 ssSkC8: $o)). % 1.83/2.00 tff(ssSkC6_type, type, ( % 1.83/2.00 ssSkC6: $o)). % 1.83/2.00 tff(a759_type, type, ( % 1.83/2.00 a759: $i)). % 1.83/2.00 tff(tptp_fun__i_val_35_type, type, ( % 1.83/2.00 tptp_fun__i_val_35: $i)). % 1.83/2.00 tff(a743_type, type, ( % 1.83/2.00 a743: $i)). % 1.83/2.00 tff(tptp_fun__i_val_56_type, type, ( % 1.83/2.00 tptp_fun__i_val_56: $i)). % 1.83/2.00 tff(a727_type, type, ( % 1.83/2.00 a727: $i)). % 1.83/2.00 tff(a655_type, type, ( % 1.83/2.00 a655: $i)). % 1.83/2.00 tff(tptp_fun__i_val_5_type, type, ( % 1.83/2.00 tptp_fun__i_val_5: $i)). % 1.83/2.00 tff(a670_type, type, ( % 1.83/2.00 a670: $i)). % 1.83/2.00 tff(a714_type, type, ( % 1.83/2.00 a714: $i)). % 1.83/2.00 tff(tptp_fun__i_val_17_type, type, ( % 1.83/2.00 tptp_fun__i_val_17: $i)). % 1.83/2.00 tff(a696_type, type, ( % 1.83/2.00 a696: $i)). % 1.83/2.00 tff(c5_0_type, type, ( % 1.83/2.00 c5_0: $o)). % 1.83/2.00 tff(tptp_fun__i_val_41_type, type, ( % 1.83/2.00 tptp_fun__i_val_41: $i)). % 1.83/2.00 tff(a627_type, type, ( % 1.83/2.00 a627: $i)). % 1.83/2.00 tff(a756_type, type, ( % 1.83/2.00 a756: $i)). % 1.83/2.00 tff(tptp_fun__i_val_52_type, type, ( % 1.83/2.00 tptp_fun__i_val_52: $i)). % 1.83/2.00 tff(a704_type, type, ( % 1.83/2.00 a704: $i)). % 1.83/2.00 tff(tptp_fun__i_val_21_type, type, ( % 1.83/2.00 tptp_fun__i_val_21: $i)). % 1.83/2.00 tff(a642_type, type, ( % 1.83/2.00 a642: $i)). % 1.83/2.00 tff(ssSkC24_type, type, ( % 1.83/2.00 ssSkC24: $o)). % 1.83/2.00 tff(tptp_fun__i_val_54_type, type, ( % 1.83/2.00 tptp_fun__i_val_54: $i)). % 1.83/2.00 tff(a659_type, type, ( % 1.83/2.00 a659: $i)). % 1.83/2.00 tff(tptp_fun__i_val_11_type, type, ( % 1.83/2.00 tptp_fun__i_val_11: $i)). % 1.83/2.00 tff(a758_type, type, ( % 1.83/2.00 a758: $i)). % 1.83/2.00 tff(tptp_fun__i_val_26_type, type, ( % 1.83/2.00 tptp_fun__i_val_26: $i)). % 1.83/2.00 tff(a618_type, type, ( % 1.83/2.00 a618: $i)). % 1.83/2.00 tff(tptp_fun__i_val_47_type, type, ( % 1.83/2.00 tptp_fun__i_val_47: $i)). % 1.83/2.00 tff(a654_type, type, ( % 1.83/2.00 a654: $i)). % 1.83/2.00 tff(ssSkC4_type, type, ( % 1.83/2.00 ssSkC4: $o)). % 1.83/2.00 tff(tptp_fun__i_val_55_type, type, ( % 1.83/2.00 tptp_fun__i_val_55: $i)). % 1.83/2.00 tff(a674_type, type, ( % 1.83/2.00 a674: $i)). % 1.83/2.00 tff(ssSkC15_type, type, ( % 1.83/2.00 ssSkC15: $o)). % 1.83/2.00 tff(ssSkC29_type, type, ( % 1.83/2.00 ssSkC29: $o)). % 1.83/2.00 tff(a637_type, type, ( % 1.83/2.00 a637: $i)). % 1.83/2.00 tff(c7_0_type, type, ( % 1.83/2.00 c7_0: $o)). % 1.83/2.00 tff(a719_type, type, ( % 1.83/2.00 a719: $i)). % 1.83/2.00 tff(tptp_fun__i_val_16_type, type, ( % 1.83/2.00 tptp_fun__i_val_16: $i)). % 1.83/2.00 tff(a700_type, type, ( % 1.83/2.00 a700: $i)). % 1.83/2.00 tff(ssSkC20_type, type, ( % 1.83/2.00 ssSkC20: $o)). % 1.83/2.00 tff(ssSkC1_type, type, ( % 1.83/2.00 ssSkC1: $o)). % 1.83/2.00 tff(ssSkC19_type, type, ( % 1.83/2.00 ssSkC19: $o)). % 1.83/2.00 tff(tptp_fun__i_val_23_type, type, ( % 1.83/2.00 tptp_fun__i_val_23: $i)). % 1.83/2.00 tff(a708_type, type, ( % 1.83/2.00 a708: $i)). % 1.83/2.00 tff(tptp_fun__i_val_7_type, type, ( % 1.83/2.00 tptp_fun__i_val_7: $i)). % 1.83/2.00 tff(a660_type, type, ( % 1.83/2.00 a660: $i)). % 1.83/2.00 tff(tptp_fun__i_val_49_type, type, ( % 1.83/2.00 tptp_fun__i_val_49: $i)). % 1.83/2.00 tff(a747_type, type, ( % 1.83/2.00 a747: $i)). % 1.83/2.00 tff(tptp_fun__i_val_50_type, type, ( % 1.83/2.00 tptp_fun__i_val_50: $i)). % 1.83/2.00 tff(a722_type, type, ( % 1.83/2.00 a722: $i)). % 1.83/2.00 tff(ssSkC22_type, type, ( % 1.83/2.00 ssSkC22: $o)). % 1.83/2.00 tff(a716_type, type, ( % 1.83/2.00 a716: $i)). % 1.83/2.00 tff(a608_type, type, ( % 1.83/2.00 a608: $i)). % 1.83/2.00 tff(ssSkC26_type, type, ( % 1.83/2.00 ssSkC26: $o)). % 1.83/2.00 tff(a665_type, type, ( % 1.83/2.00 a665: $i)). % 1.83/2.00 tff(a753_type, type, ( % 1.83/2.00 a753: $i)). % 1.83/2.00 tff(a710_type, type, ( % 1.83/2.00 a710: $i)). % 1.83/2.00 tff(tptp_fun__i_val_9_type, type, ( % 1.83/2.00 tptp_fun__i_val_9: $i)). % 1.83/2.00 tff(a621_type, type, ( % 1.83/2.00 a621: $i)). % 1.83/2.00 tff(a709_type, type, ( % 1.83/2.00 a709: $i)). % 1.83/2.00 tff(tptp_fun__i_val_4_type, type, ( % 1.83/2.00 tptp_fun__i_val_4: $i)). % 1.83/2.00 tff(a692_type, type, ( % 1.83/2.00 a692: $i)). % 1.83/2.00 tff(ssSkC14_type, type, ( % 1.83/2.00 ssSkC14: $o)). % 1.83/2.00 tff(a676_type, type, ( % 1.83/2.00 a676: $i)). % 1.83/2.00 tff(a724_type, type, ( % 1.83/2.00 a724: $i)). % 1.83/2.00 tff(tptp_fun__i_val_36_type, type, ( % 1.83/2.00 tptp_fun__i_val_36: $i)). % 1.83/2.00 tff(a718_type, type, ( % 1.83/2.00 a718: $i)). % 1.83/2.00 tff(tptp_fun__i_val_25_type, type, ( % 1.83/2.00 tptp_fun__i_val_25: $i)). % 1.83/2.00 tff(a647_type, type, ( % 1.83/2.00 a647: $i)). % 1.83/2.00 tff(tptp_fun__i_val_53_type, type, ( % 1.83/2.00 tptp_fun__i_val_53: $i)). % 1.83/2.00 tff(a620_type, type, ( % 1.83/2.00 a620: $i)). % 1.83/2.00 tff(a749_type, type, ( % 1.83/2.00 a749: $i)). % 1.83/2.00 tff(tptp_fun__i_val_43_type, type, ( % 1.83/2.00 tptp_fun__i_val_43: $i)). % 1.83/2.00 tff(a648_type, type, ( % 1.83/2.00 a648: $i)). % 1.83/2.00 tff(ssSkC3_type, type, ( % 1.83/2.00 ssSkC3: $o)). % 1.83/2.00 tff(a662_type, type, ( % 1.83/2.00 a662: $i)). % 1.83/2.00 tff(tptp_fun__i_val_13_type, type, ( % 1.83/2.00 tptp_fun__i_val_13: $i)). % 1.83/2.00 tff(a669_type, type, ( % 1.83/2.00 a669: $i)). % 1.83/2.00 tff(c2_0_type, type, ( % 1.83/2.00 c2_0: $o)). % 1.83/2.00 tff(c6_0_type, type, ( % 1.83/2.00 c6_0: $o)). % 1.83/2.00 tff(a751_type, type, ( % 1.83/2.00 a751: $i)). % 1.83/2.00 tff(ssSkC11_type, type, ( % 1.83/2.00 ssSkC11: $o)). % 1.83/2.00 tff(tptp_fun__i_val_40_type, type, ( % 1.83/2.00 tptp_fun__i_val_40: $i)). % 1.83/2.00 tff(a706_type, type, ( % 1.83/2.00 a706: $i)). % 1.83/2.00 tff(tptp_fun__i_val_20_type, type, ( % 1.83/2.00 tptp_fun__i_val_20: $i)). % 1.83/2.00 tff(a651_type, type, ( % 1.83/2.00 a651: $i)). % 1.83/2.00 tff(a701_type, type, ( % 1.83/2.00 a701: $i)). % 1.83/2.00 tff(a635_type, type, ( % 1.83/2.00 a635: $i)). % 1.83/2.00 tff(a636_type, type, ( % 1.83/2.00 a636: $i)). % 1.83/2.00 tff(ssSkC5_type, type, ( % 1.83/2.00 ssSkC5: $o)). % 1.83/2.00 tff(ssSkC18_type, type, ( % 1.83/2.00 ssSkC18: $o)). % 1.83/2.00 tff(ssSkC32_type, type, ( % 1.83/2.00 ssSkC32: $o)). % 1.83/2.00 tff(a675_type, type, ( % 1.83/2.00 a675: $i)). % 1.83/2.00 tff(a619_type, type, ( % 1.83/2.00 a619: $i)). % 1.83/2.00 tff(ssSkC27_type, type, ( % 1.83/2.00 ssSkC27: $o)). % 1.83/2.00 tff(tptp_fun__i_val_1_type, type, ( % 1.83/2.00 tptp_fun__i_val_1: $i)). % 1.83/2.00 tff(a757_type, type, ( % 1.83/2.00 a757: $i)). % 1.83/2.00 tff(tptp_fun__i_val_6_type, type, ( % 1.83/2.00 tptp_fun__i_val_6: $i)). % 1.83/2.00 tff(a663_type, type, ( % 1.83/2.00 a663: $i)). % 1.83/2.00 tff(tptp_fun__i_val_10_type, type, ( % 1.83/2.00 tptp_fun__i_val_10: $i)). % 1.83/2.00 tff(a611_type, type, ( % 1.83/2.00 a611: $i)). % 1.83/2.00 tff(ssSkC16_type, type, ( % 1.83/2.00 ssSkC16: $o)). % 1.83/2.00 tff(ssSkC10_type, type, ( % 1.83/2.00 ssSkC10: $o)). % 1.83/2.00 tff(a735_type, type, ( % 1.83/2.00 a735: $i)). % 1.83/2.00 tff(tptp_fun__i_val_18_type, type, ( % 1.83/2.00 tptp_fun__i_val_18: $i)). % 1.83/2.00 tff(a668_type, type, ( % 1.83/2.00 a668: $i)). % 1.83/2.00 tff(a707_type, type, ( % 1.83/2.00 a707: $i)). % 1.83/2.00 tff(a755_type, type, ( % 1.83/2.00 a755: $i)). % 1.83/2.00 tff(ssSkC0_type, type, ( % 1.83/2.00 ssSkC0: $o)). % 1.83/2.00 tff(a711_type, type, ( % 1.83/2.00 a711: $i)). % 1.83/2.00 tff(a631_type, type, ( % 1.83/2.00 a631: $i)). % 1.83/2.00 tff(a671_type, type, ( % 1.83/2.00 a671: $i)). % 1.83/2.00 tff(a667_type, type, ( % 1.83/2.00 a667: $i)). % 1.83/2.00 tff(a720_type, type, ( % 1.83/2.00 a720: $i)). % 1.83/2.00 tff(a683_type, type, ( % 1.83/2.00 a683: $i)). % 1.83/2.00 tff(a697_type, type, ( % 1.83/2.00 a697: $i)). % 1.83/2.00 tff(tptp_fun__i_val_14_type, type, ( % 1.83/2.00 tptp_fun__i_val_14: $i)). % 1.83/2.00 tff(a739_type, type, ( % 1.83/2.00 a739: $i)). % 1.83/2.00 tff(a645_type, type, ( % 1.83/2.00 a645: $i)). % 1.83/2.00 tff(tptp_fun__i_val_44_type, type, ( % 1.83/2.00 tptp_fun__i_val_44: $i)). % 1.83/2.00 tff(a673_type, type, ( % 1.83/2.00 a673: $i)). % 1.83/2.00 tff(a745_type, type, ( % 1.83/2.00 a745: $i)). % 1.83/2.00 tff(a732_type, type, ( % 1.83/2.00 a732: $i)). % 1.83/2.00 tff(tptp_fun__i_val_34_type, type, ( % 1.83/2.00 tptp_fun__i_val_34: $i)). % 1.83/2.00 tff(a661_type, type, ( % 1.83/2.00 a661: $i)). % 1.83/2.00 tff(a705_type, type, ( % 1.83/2.00 a705: $i)). % 1.83/2.00 tff(tptp_fun__i_val_51_type, type, ( % 1.83/2.00 tptp_fun__i_val_51: $i)). % 1.83/2.00 tff(a638_type, type, ( % 1.83/2.00 a638: $i)). % 1.83/2.00 tff(a678_type, type, ( % 1.83/2.00 a678: $i)). % 1.83/2.00 tff(ssSkC31_type, type, ( % 1.83/2.00 ssSkC31: $o)). % 1.83/2.00 tff(a640_type, type, ( % 1.83/2.00 a640: $i)). % 1.83/2.00 tff(a616_type, type, ( % 1.83/2.00 a616: $i)). % 1.83/2.00 tff(a744_type, type, ( % 1.83/2.00 a744: $i)). % 1.83/2.00 tff(tptp_fun__i_val_33_type, type, ( % 1.83/2.00 tptp_fun__i_val_33: $i)). % 1.83/2.00 tff(a615_type, type, ( % 1.83/2.00 a615: $i)). % 1.83/2.00 tff(ssSkP7_type, type, ( % 1.83/2.00 ssSkP7: $i > $o)). % 1.83/2.00 tff(k!2406_type, type, ( % 1.83/2.00 k!2406: $i > $i)). % 1.83/2.00 tff(c10_1_type, type, ( % 1.83/2.00 c10_1: $i > $o)). % 1.83/2.00 tff(ssSkP9_type, type, ( % 1.83/2.00 ssSkP9: $i > $o)). % 1.83/2.00 tff(ssSkP8_type, type, ( % 1.83/2.00 ssSkP8: $i > $o)). % 1.83/2.00 tff(c5_1_type, type, ( % 1.83/2.00 c5_1: $i > $o)). % 1.83/2.00 tff(ssSkP0_type, type, ( % 1.83/2.00 ssSkP0: $i > $o)). % 1.83/2.00 tff(c2_1_type, type, ( % 1.83/2.00 c2_1: $i > $o)). % 1.83/2.00 tff(k!2407_type, type, ( % 1.83/2.00 k!2407: $i > $i)). % 1.83/2.00 tff(c10_2_type, type, ( % 1.83/2.00 c10_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c4_1_type, type, ( % 1.83/2.00 c4_1: $i > $o)). % 1.83/2.00 tff(c9_1_type, type, ( % 1.83/2.00 c9_1: $i > $o)). % 1.83/2.00 tff(ssSkP1_type, type, ( % 1.83/2.00 ssSkP1: $i > $o)). % 1.83/2.00 tff(c3_2_type, type, ( % 1.83/2.00 c3_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(ssSkP4_type, type, ( % 1.83/2.00 ssSkP4: $i > $o)). % 1.83/2.00 tff(c4_2_type, type, ( % 1.83/2.00 c4_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c7_1_type, type, ( % 1.83/2.00 c7_1: $i > $o)). % 1.83/2.00 tff(c5_2_type, type, ( % 1.83/2.00 c5_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c2_2_type, type, ( % 1.83/2.00 c2_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(ssSkP3_type, type, ( % 1.83/2.00 ssSkP3: $i > $o)). % 1.83/2.00 tff(ssSkP11_type, type, ( % 1.83/2.00 ssSkP11: $i > $o)). % 1.83/2.00 tff(ndr1_1_type, type, ( % 1.83/2.00 ndr1_1: $i > $o)). % 1.83/2.00 tff(c7_2_type, type, ( % 1.83/2.00 c7_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c3_1_type, type, ( % 1.83/2.00 c3_1: $i > $o)). % 1.83/2.00 tff(c1_2_type, type, ( % 1.83/2.00 c1_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c1_1_type, type, ( % 1.83/2.00 c1_1: $i > $o)). % 1.83/2.00 tff(ssSkP2_type, type, ( % 1.83/2.00 ssSkP2: $i > $o)). % 1.83/2.00 tff(ssSkP10_type, type, ( % 1.83/2.00 ssSkP10: $i > $o)). % 1.83/2.00 tff(c9_2_type, type, ( % 1.83/2.00 c9_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c8_2_type, type, ( % 1.83/2.00 c8_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(c6_1_type, type, ( % 1.83/2.00 c6_1: $i > $o)). % 1.83/2.00 tff(c8_1_type, type, ( % 1.83/2.00 c8_1: $i > $o)). % 1.83/2.00 tff(c6_2_type, type, ( % 1.83/2.00 c6_2: ( $i * $i ) > $o)). % 1.83/2.00 tff(ssSkP6_type, type, ( % 1.83/2.00 ssSkP6: $i > $o)). % 1.83/2.00 tff(ssSkP5_type, type, ( % 1.83/2.00 ssSkP5: $i > $o)). % 1.83/2.00 tff(formula1, axiom, % 1.83/2.00 a614 = $i!val!27). % 1.83/2.00 tff(formula2, axiom, % 1.83/2.00 a685 = $i!val!37). % 1.83/2.00 tff(formula3, axiom, % 1.83/2.00 a658 = $i!val!15). % 1.83/2.00 tff(formula4, axiom, % 1.83/2.00 c9_0 <=> $false). % 1.83/2.00 tff(formula5, axiom, % 1.83/2.00 a634 = $i!val!31). % 1.83/2.00 tff(formula6, axiom, % 1.83/2.00 ssSkC13 <=> $false). % 1.83/2.00 tff(formula7, axiom, % 1.83/2.00 c8_0 <=> $false). % 1.83/2.00 tff(formula8, axiom, % 1.83/2.00 a610 = $i!val!15). % 1.83/2.00 tff(formula9, axiom, % 1.83/2.00 a679 = $i!val!15). % 1.83/2.00 tff(formula10, axiom, % 1.83/2.00 ssSkC21 <=> $true). % 1.83/2.00 tff(formula11, axiom, % 1.83/2.00 a717 = $i!val!32). % 1.83/2.00 tff(formula12, axiom, % 1.83/2.00 a639 = $i!val!8). % 1.83/2.00 tff(formula13, axiom, % 1.83/2.00 ssSkC34 <=> $false). % 1.83/2.00 tff(formula14, axiom, % 1.83/2.00 ssSkC33 <=> $true). % 1.83/2.00 tff(formula15, axiom, % 1.83/2.00 a664 = $i!val!19). % 1.83/2.00 tff(formula16, axiom, % 1.83/2.00 a684 = $i!val!8). % 1.83/2.00 tff(formula17, axiom, % 1.83/2.00 c10_0 <=> $false). % 1.83/2.00 tff(formula18, axiom, % 1.83/2.00 ssSkC28 <=> $false). % 1.83/2.00 tff(formula19, axiom, % 1.83/2.00 a731 = $i!val!37). % 1.83/2.00 tff(formula20, axiom, % 1.83/2.00 c1_0 <=> $false). % 1.83/2.00 tff(formula21, axiom, % 1.83/2.00 ssSkC23 <=> $false). % 1.83/2.00 tff(formula22, axiom, % 1.83/2.00 a646 = $i!val!31). % 1.83/2.00 tff(formula23, axiom, % 1.83/2.00 a672 = $i!val!24). % 1.83/2.00 tff(formula24, axiom, % 1.83/2.00 a612 = $i!val!30). % 1.83/2.00 tff(formula25, axiom, % 1.83/2.00 ssSkC35 <=> $false). % 1.83/2.00 tff(formula26, axiom, % 1.83/2.00 a734 = $i!val!2). % 1.83/2.00 tff(formula27, axiom, % 1.83/2.00 a682 = $i!val!15). % 1.83/2.00 tff(formula28, axiom, % 1.83/2.00 a624 = $i!val!38). % 1.83/2.00 tff(formula29, axiom, % 1.83/2.00 a652 = $i!val!19). % 1.83/2.00 tff(formula30, axiom, % 1.83/2.00 a740 = $i!val!12). % 1.83/2.00 tff(formula31, axiom, % 1.83/2.00 ssSkC2 <=> $true). % 1.83/2.00 tff(formula32, axiom, % 1.83/2.00 a613 = $i!val!28). % 1.83/2.00 tff(formula33, axiom, % 1.83/2.00 c4_0 <=> $false). % 1.83/2.00 tff(formula34, axiom, % 1.83/2.00 a643 = $i!val!29). % 1.83/2.00 tff(formula35, axiom, % 1.83/2.00 ssSkC9 <=> $false). % 1.83/2.00 tff(formula36, axiom, % 1.83/2.00 a733 = $i!val!32). % 1.83/2.00 tff(formula37, axiom, % 1.83/2.00 ssSkC17 <=> $true). % 1.83/2.00 tff(formula38, axiom, % 1.83/2.00 a703 = $i!val!3). % 1.83/2.00 tff(formula39, axiom, % 1.83/2.00 ssSkC12 <=> $false). % 1.83/2.00 tff(formula40, axiom, % 1.83/2.00 a677 = $i!val!28). % 1.83/2.00 tff(formula41, axiom, % 1.83/2.00 a609 = $i!val!22). % 1.83/2.00 tff(formula42, axiom, % 1.83/2.00 a650 = $i!val!28). % 1.83/2.00 tff(formula43, axiom, % 1.83/2.00 ssSkC30 <=> $true). % 1.83/2.00 tff(formula44, axiom, % 1.83/2.00 a752 = $i!val!39). % 1.83/2.00 tff(formula45, axiom, % 1.83/2.00 a713 = $i!val!0). % 1.83/2.00 tff(formula46, axiom, % 1.83/2.00 a750 = $i!val!32). % 1.83/2.00 tff(formula47, axiom, % 1.83/2.00 a690 = $i!val!42). % 1.83/2.00 tff(formula48, axiom, % 1.83/2.00 a712 = $i!val!8). % 1.83/2.00 tff(formula49, axiom, % 1.83/2.00 a726 = $i!val!48). % 1.83/2.00 tff(formula50, axiom, % 1.83/2.00 a653 = $i!val!19). % 1.83/2.00 tff(formula51, axiom, % 1.83/2.00 ndr1_0 <=> $true). % 1.83/2.00 tff(formula52, axiom, % 1.83/2.00 c3_0 <=> $true). % 1.83/2.00 tff(formula53, axiom, % 1.83/2.00 ssSkC25 <=> $false). % 1.83/2.00 tff(formula54, axiom, % 1.83/2.00 ssSkC7 <=> $true). % 1.83/2.00 tff(formula55, axiom, % 1.83/2.00 a691 = $i!val!45). % 1.83/2.00 tff(formula56, axiom, % 1.83/2.00 a748 = $i!val!46). % 1.83/2.00 tff(formula57, axiom, % 1.83/2.00 a666 = $i!val!28). % 1.83/2.00 tff(formula58, axiom, % 1.83/2.00 a715 = $i!val!28). % 1.83/2.00 tff(formula59, axiom, % 1.83/2.00 a633 = $i!val!31). % 1.83/2.00 tff(formula60, axiom, % 1.83/2.00 ssSkC8 <=> $true). % 1.83/2.00 tff(formula61, axiom, % 1.83/2.00 ssSkC6 <=> $true). % 1.83/2.00 tff(formula62, axiom, % 1.83/2.00 a759 = $i!val!15). % 1.83/2.00 tff(formula63, axiom, % 1.83/2.00 a743 = $i!val!35). % 1.83/2.00 tff(formula64, axiom, % 1.83/2.00 a727 = $i!val!56). % 1.83/2.00 tff(formula65, axiom, % 1.83/2.00 a655 = $i!val!8). % 1.83/2.00 tff(formula66, axiom, % 1.83/2.00 a670 = $i!val!5). % 1.83/2.00 tff(formula67, axiom, % 1.83/2.00 a714 = $i!val!32). % 1.83/2.00 tff(formula68, axiom, % 1.83/2.00 a696 = $i!val!17). % 1.83/2.00 tff(formula69, axiom, % 1.83/2.00 c5_0 <=> $true). % 1.83/2.00 tff(formula70, axiom, % 1.83/2.00 a627 = $i!val!41). % 1.83/2.00 tff(formula71, axiom, % 1.83/2.00 a756 = $i!val!0). % 1.83/2.00 tff(formula72, axiom, % 1.83/2.00 a704 = $i!val!52). % 1.83/2.00 tff(formula73, axiom, % 1.83/2.00 a642 = $i!val!21). % 1.83/2.00 tff(formula74, axiom, % 1.83/2.00 ssSkC24 <=> $true). % 1.83/2.00 tff(formula75, axiom, % 1.83/2.00 a659 = $i!val!54). % 1.83/2.00 tff(formula76, axiom, % 1.83/2.00 a758 = $i!val!11). % 1.83/2.00 tff(formula77, axiom, % 1.83/2.00 a618 = $i!val!26). % 1.83/2.00 tff(formula78, axiom, % 1.83/2.00 a654 = $i!val!47). % 1.83/2.00 tff(formula79, axiom, % 1.83/2.00 ssSkC4 <=> $false). % 1.83/2.00 tff(formula80, axiom, % 1.83/2.00 a674 = $i!val!55). % 1.83/2.00 tff(formula81, axiom, % 1.83/2.00 ssSkC15 <=> $true). % 1.83/2.01 tff(formula82, axiom, % 1.83/2.01 ssSkC29 <=> $true). % 1.83/2.01 tff(formula83, axiom, % 1.83/2.01 a637 = $i!val!8). % 1.83/2.01 tff(formula84, axiom, % 1.83/2.01 c7_0 <=> $false). % 1.83/2.01 tff(formula85, axiom, % 1.83/2.01 a719 = $i!val!32). % 1.83/2.01 tff(formula86, axiom, % 1.83/2.01 a700 = $i!val!16). % 1.83/2.01 tff(formula87, axiom, % 1.83/2.01 ssSkC20 <=> $true). % 1.83/2.01 tff(formula88, axiom, % 1.83/2.01 ssSkC1 <=> $false). % 1.83/2.01 tff(formula89, axiom, % 1.83/2.01 ssSkC19 <=> $true). % 1.83/2.01 tff(formula90, axiom, % 1.83/2.01 a708 = $i!val!23). % 1.83/2.01 tff(formula91, axiom, % 1.83/2.01 a660 = $i!val!7). % 1.83/2.01 tff(formula92, axiom, % 1.83/2.01 a747 = $i!val!49). % 1.83/2.01 tff(formula93, axiom, % 1.83/2.01 a722 = $i!val!50). % 1.83/2.01 tff(formula94, axiom, % 1.83/2.01 ssSkC22 <=> $true). % 1.83/2.01 tff(formula95, axiom, % 1.83/2.01 a716 = $i!val!8). % 1.83/2.01 tff(formula96, axiom, % 1.83/2.01 a608 = $i!val!28). % 1.83/2.01 tff(formula97, axiom, % 1.83/2.01 ssSkC26 <=> $false). % 1.83/2.01 tff(formula98, axiom, % 1.83/2.01 a665 = $i!val!19). % 1.83/2.01 tff(formula99, axiom, % 1.83/2.01 a753 = $i!val!28). % 1.83/2.01 tff(formula100, axiom, % 1.83/2.01 a710 = $i!val!8). % 1.83/2.01 tff(formula101, axiom, % 1.83/2.01 a621 = $i!val!9). % 1.83/2.01 tff(formula102, axiom, % 1.83/2.01 a709 = $i!val!31). % 1.83/2.01 tff(formula103, axiom, % 1.83/2.01 a692 = $i!val!4). % 1.83/2.01 tff(formula104, axiom, % 1.83/2.01 ssSkC14 <=> $true). % 1.83/2.01 tff(formula105, axiom, % 1.83/2.01 a676 = $i!val!15). % 1.83/2.01 tff(formula106, axiom, % 1.83/2.01 a724 = $i!val!28). % 1.83/2.01 tff(formula107, axiom, % 1.83/2.01 a718 = $i!val!36). % 1.83/2.01 tff(formula108, axiom, % 1.83/2.01 a647 = $i!val!25). % 1.83/2.01 tff(formula109, axiom, % 1.83/2.01 a620 = $i!val!53). % 1.83/2.01 tff(formula110, axiom, % 1.83/2.01 a749 = $i!val!19). % 1.83/2.01 tff(formula111, axiom, % 1.83/2.01 a648 = $i!val!43). % 1.83/2.01 tff(formula112, axiom, % 1.83/2.01 ssSkC3 <=> $true). % 1.83/2.01 tff(formula113, axiom, % 1.83/2.01 a662 = $i!val!19). % 1.83/2.01 tff(formula114, axiom, % 1.83/2.01 a669 = $i!val!13). % 1.83/2.01 tff(formula115, axiom, % 1.83/2.01 c2_0 <=> $true). % 1.83/2.01 tff(formula116, axiom, % 1.83/2.01 c6_0 <=> $false). % 1.83/2.01 tff(formula117, axiom, % 1.83/2.01 a751 = $i!val!15). % 1.83/2.01 tff(formula118, axiom, % 1.83/2.01 ssSkC11 <=> $false). % 1.83/2.01 tff(formula119, axiom, % 1.83/2.01 a706 = $i!val!40). % 1.83/2.01 tff(formula120, axiom, % 1.83/2.01 a651 = $i!val!20). % 1.83/2.01 tff(formula121, axiom, % 1.83/2.01 a701 = $i!val!15). % 1.83/2.01 tff(formula122, axiom, % 1.83/2.01 a635 = $i!val!0). % 1.83/2.01 tff(formula123, axiom, % 1.83/2.01 a636 = $i!val!15). % 1.83/2.01 tff(formula124, axiom, % 1.83/2.01 ssSkC5 <=> $false). % 1.83/2.01 tff(formula125, axiom, % 1.83/2.01 ssSkC18 <=> $false). % 1.83/2.01 tff(formula126, axiom, % 1.83/2.01 ssSkC32 <=> $true). % 1.83/2.01 tff(formula127, axiom, % 1.83/2.01 a675 = $i!val!15). % 1.83/2.01 tff(formula128, axiom, % 1.83/2.01 a619 = $i!val!37). % 1.83/2.01 tff(formula129, axiom, % 1.83/2.01 ssSkC27 <=> $true). % 1.83/2.01 tff(formula130, axiom, % 1.83/2.01 a757 = $i!val!1). % 1.83/2.01 tff(formula131, axiom, % 1.83/2.01 a663 = $i!val!6). % 1.83/2.01 tff(formula132, axiom, % 1.83/2.01 a611 = $i!val!10). % 1.83/2.01 tff(formula133, axiom, % 1.83/2.01 ssSkC16 <=> $true). % 1.83/2.01 tff(formula134, axiom, % 1.83/2.01 ssSkC10 <=> $false). % 1.83/2.01 tff(formula135, axiom, % 1.83/2.01 a735 = $i!val!15). % 1.83/2.01 tff(formula136, axiom, % 1.83/2.01 a668 = $i!val!18). % 1.83/2.01 tff(formula137, axiom, % 1.83/2.01 a707 = $i!val!1). % 1.83/2.01 tff(formula138, axiom, % 1.83/2.01 a755 = $i!val!31). % 1.83/2.01 tff(formula139, axiom, % 1.83/2.01 ssSkC0 <=> $true). % 1.83/2.01 tff(formula140, axiom, % 1.83/2.01 a711 = $i!val!31). % 1.83/2.01 tff(formula141, axiom, % 1.83/2.01 a631 = $i!val!15). % 1.83/2.01 tff(formula142, axiom, % 1.83/2.01 a671 = $i!val!0). % 1.83/2.01 tff(formula143, axiom, % 1.83/2.01 a667 = $i!val!37). % 1.83/2.01 tff(formula144, axiom, % 1.83/2.01 a720 = $i!val!37). % 1.83/2.01 tff(formula145, axiom, % 1.83/2.01 a683 = $i!val!8). % 1.83/2.01 tff(formula146, axiom, % 1.83/2.01 a697 = $i!val!15). % 1.83/2.01 tff(formula147, axiom, % 1.83/2.01 a739 = $i!val!14). % 1.83/2.01 tff(formula148, axiom, % 1.83/2.01 a645 = $i!val!13). % 1.83/2.01 tff(formula149, axiom, % 1.83/2.01 a673 = $i!val!44). % 1.83/2.01 tff(formula150, axiom, % 1.83/2.01 a745 = $i!val!15). % 1.83/2.01 tff(formula151, axiom, % 1.83/2.01 a732 = $i!val!1). % 1.83/2.01 tff(formula152, axiom, % 1.83/2.01 a661 = $i!val!34). % 1.83/2.01 tff(formula153, axiom, % 1.83/2.01 a705 = $i!val!15). % 1.83/2.01 tff(formula154, axiom, % 1.83/2.01 a638 = $i!val!51). % 1.83/2.01 tff(formula155, axiom, % 1.83/2.01 a678 = $i!val!1). % 1.83/2.01 tff(formula156, axiom, % 1.83/2.01 ssSkC31 <=> $true). % 1.83/2.01 tff(formula157, axiom, % 1.83/2.01 a640 = $i!val!8). % 1.83/2.01 tff(formula158, axiom, % 1.83/2.01 a616 = $i!val!32). % 1.83/2.01 tff(formula159, axiom, % 1.83/2.01 a744 = $i!val!19). % 1.83/2.01 tff(formula160, axiom, % 1.83/2.01 a615 = $i!val!33). % 1.83/2.01 tff(formula161, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP7(X0) <=> $true)). % 1.83/2.01 tff(formula162, axiom, % 1.83/2.01 ![X0: $i] : (c10_1(X0) <=> (k!2406(X0) = $i!val!1))). % 1.83/2.01 tff(formula163, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP9(X0) <=> $true)). % 1.83/2.01 tff(formula164, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP8(X0) <=> (~(k!2406(X0) = $i!val!1)))). % 1.83/2.01 tff(formula165, axiom, % 1.83/2.01 ![X0: $i] : (c5_1(X0) <=> ((k!2406(X0) = $i!val!5) | (k!2406(X0) = $i!val!7) | (k!2406(X0) = $i!val!1)))). % 1.83/2.01 tff(formula166, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 1.83/2.01 tff(formula167, axiom, % 1.83/2.01 ![X0: $i] : (c2_1(X0) <=> ((~(k!2406(X0) = $i!val!10)) & (~(k!2406(X0) = $i!val!5)) & (~(k!2406(X0) = $i!val!24)) & (~(k!2406(X0) = $i!val!27)) & (~(k!2406(X0) = $i!val!19))))). % 1.83/2.01 tff(formula168, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!2406(X1) = $i!val!10) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!32)) | ((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!10) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!5) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!24) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!48)) | ((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!25))))). % 1.83/2.01 tff(formula169, axiom, % 1.83/2.01 ![X0: $i] : (c4_1(X0) <=> ((k!2406(X0) = $i!val!12) | (k!2406(X0) = $i!val!44) | (k!2406(X0) = $i!val!9) | (k!2406(X0) = $i!val!19) | (k!2406(X0) = $i!val!5)))). % 1.83/2.01 tff(formula170, axiom, % 1.83/2.01 ![X0: $i] : (c9_1(X0) <=> $false)). % 1.83/2.01 tff(formula171, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 1.83/2.01 tff(formula172, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!2406(X1) = $i!val!12) & (k!2407(X0) = $i!val!37)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!33)) | ((k!2406(X1) = $i!val!5) & (k!2407(X0) = $i!val!37)) | ((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!37)) | ((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!37)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!46))))). % 1.83/2.01 tff(formula173, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP4(X0) <=> $true)). % 1.83/2.01 tff(formula174, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 1.83/2.01 tff(formula175, axiom, % 1.83/2.01 ![X0: $i] : (c7_1(X0) <=> ((k!2406(X0) = $i!val!24) | (k!2406(X0) = $i!val!6)))). % 1.83/2.01 tff(formula176, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!49)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!10) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!24) & (k!2407(X0) = $i!val!38)) | ((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!25))))). % 1.83/2.01 tff(formula177, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 1.83/2.01 tff(formula178, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP3(X0) <=> $true)). % 1.83/2.01 tff(formula179, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP11(X0) <=> $true)). % 1.83/2.01 tff(formula180, axiom, % 1.83/2.01 ![X0: $i] : (ndr1_1(X0) <=> ((k!2406(X0) = $i!val!12) | (k!2406(X0) = $i!val!13) | (k!2406(X0) = $i!val!27) | (k!2406(X0) = $i!val!5) | (k!2406(X0) = $i!val!24) | (k!2406(X0) = $i!val!1) | (k!2406(X0) = $i!val!10)))). % 1.83/2.01 tff(formula181, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> ((~((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!39))) & (~((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!36))) & (~((k!2406(X1) = $i!val!19) & (k!2407(X0) = $i!val!56))) & (~((k!2406(X1) = $i!val!5) & (k!2407(X0) = $i!val!39))) & (~((k!2406(X1) = $i!val!28) & (k!2407(X0) = $i!val!39))) & (~((k!2406(X1) = $i!val!2) & (k!2407(X0) = $i!val!15)))))). % 1.83/2.01 tff(formula182, axiom, % 1.83/2.01 k!2406($i!val!11) = $i!val!11). % 1.83/2.01 tff(formula183, axiom, % 1.83/2.01 k!2406($i!val!26) = $i!val!26). % 1.83/2.01 tff(formula184, axiom, % 1.83/2.01 k!2406($i!val!27) = $i!val!27). % 1.83/2.01 tff(formula185, axiom, % 1.83/2.01 k!2406($i!val!22) = $i!val!22). % 1.83/2.01 tff(formula186, axiom, % 1.83/2.01 k!2406($i!val!20) = $i!val!20). % 1.83/2.01 tff(formula187, axiom, % 1.83/2.01 k!2406($i!val!16) = $i!val!16). % 1.83/2.01 tff(formula188, axiom, % 1.83/2.01 k!2406($i!val!42) = $i!val!42). % 1.83/2.01 tff(formula189, axiom, % 1.83/2.01 k!2406($i!val!23) = $i!val!23). % 1.83/2.01 tff(formula190, axiom, % 1.83/2.01 k!2406($i!val!10) = $i!val!10). % 1.83/2.01 tff(formula191, axiom, % 1.83/2.01 k!2406($i!val!6) = $i!val!6). % 1.83/2.01 tff(formula192, axiom, % 1.83/2.01 k!2406($i!val!1) = $i!val!1). % 1.83/2.01 tff(formula193, axiom, % 1.83/2.01 k!2406($i!val!7) = $i!val!7). % 1.83/2.01 tff(formula194, axiom, % 1.83/2.01 k!2406($i!val!18) = $i!val!18). % 1.83/2.01 tff(formula195, axiom, % 1.83/2.01 k!2406($i!val!28) = $i!val!28). % 1.83/2.01 tff(formula196, axiom, % 1.83/2.01 k!2406($i!val!19) = $i!val!19). % 1.83/2.01 tff(formula197, axiom, % 1.83/2.01 k!2406($i!val!8) = $i!val!8). % 1.83/2.01 tff(formula198, axiom, % 1.83/2.01 k!2406($i!val!24) = $i!val!24). % 1.83/2.01 tff(formula199, axiom, % 1.83/2.01 k!2406($i!val!13) = $i!val!13). % 1.83/2.01 tff(formula200, axiom, % 1.83/2.01 k!2406($i!val!44) = $i!val!44). % 1.83/2.01 tff(formula201, axiom, % 1.83/2.01 k!2406($i!val!9) = $i!val!9). % 1.83/2.01 tff(formula202, axiom, % 1.83/2.01 k!2406($i!val!5) = $i!val!5). % 1.83/2.01 tff(formula203, axiom, % 1.83/2.01 k!2406($i!val!2) = $i!val!2). % 1.83/2.01 tff(formula204, axiom, % 1.83/2.01 k!2406($i!val!14) = $i!val!14). % 1.83/2.01 tff(formula205, axiom, % 1.83/2.01 k!2406($i!val!4) = $i!val!4). % 1.83/2.01 tff(formula206, axiom, % 1.83/2.01 k!2406($i!val!12) = $i!val!12). % 1.83/2.01 tff(formula207, axiom, % 1.83/2.01 k!2406($i!val!17) = $i!val!17). % 1.83/2.01 tff(formula208, axiom, % 1.83/2.01 k!2406($i!val!0) = $i!val!0). % 1.83/2.01 tff(formula209, axiom, % 1.83/2.01 k!2406($i!val!3) = $i!val!3). % 1.83/2.01 tff(formula210, axiom, % 1.83/2.01 ![X0: $i] : ((~((($i!val!11 = X0)) | (($i!val!26 = X0)) | (($i!val!27 = X0)) | (($i!val!22 = X0)) | (($i!val!20 = X0)) | (($i!val!16 = X0)) | (($i!val!42 = X0)) | (($i!val!23 = X0)) | (($i!val!10 = X0)) | (($i!val!6 = X0)) | (($i!val!1 = X0)) | (($i!val!7 = X0)) | (($i!val!18 = X0)) | (($i!val!28 = X0)) | (($i!val!19 = X0)) | (($i!val!8 = X0)) | (($i!val!24 = X0)) | (($i!val!13 = X0)) | (($i!val!44 = X0)) | (($i!val!9 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)) | (($i!val!14 = X0)) | (($i!val!4 = X0)) | (($i!val!12 = X0)) | (($i!val!17 = X0)) | (($i!val!0 = X0)) | (($i!val!3 = X0)))) => (k!2406(X0) = $i!val!43))). % 1.83/2.01 tff(formula211, axiom, % 1.83/2.01 ![X0: $i] : (c3_1(X0) <=> ((~(k!2406(X0) = $i!val!1)) & (~(k!2406(X0) = $i!val!13)) & (~(k!2406(X0) = $i!val!5))))). % 1.83/2.01 tff(formula212, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!2406(X1) = $i!val!13) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!10) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!5) & (k!2407(X0) = $i!val!46)) | ((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!48))))). % 1.83/2.01 tff(formula213, axiom, % 1.83/2.01 ![X0: $i] : (c1_1(X0) <=> (k!2406(X0) = $i!val!6))). % 1.83/2.01 tff(formula214, axiom, % 1.83/2.01 k!2407($i!val!29) = $i!val!29). % 1.83/2.01 tff(formula215, axiom, % 1.83/2.01 k!2407($i!val!47) = $i!val!47). % 1.83/2.01 tff(formula216, axiom, % 1.83/2.01 k!2407($i!val!55) = $i!val!55). % 1.83/2.01 tff(formula217, axiom, % 1.83/2.01 k!2407($i!val!39) = $i!val!39). % 1.83/2.01 tff(formula218, axiom, % 1.83/2.01 k!2407($i!val!40) = $i!val!40). % 1.83/2.01 tff(formula219, axiom, % 1.83/2.01 k!2407($i!val!48) = $i!val!48). % 1.83/2.01 tff(formula220, axiom, % 1.83/2.01 k!2407($i!val!50) = $i!val!50). % 1.83/2.01 tff(formula221, axiom, % 1.83/2.01 k!2407($i!val!45) = $i!val!45). % 1.83/2.01 tff(formula222, axiom, % 1.83/2.01 k!2407($i!val!49) = $i!val!49). % 1.83/2.01 tff(formula223, axiom, % 1.83/2.01 k!2407($i!val!46) = $i!val!46). % 1.83/2.01 tff(formula224, axiom, % 1.83/2.01 k!2407($i!val!15) = $i!val!15). % 1.83/2.01 tff(formula225, axiom, % 1.83/2.01 k!2407($i!val!35) = $i!val!35). % 1.83/2.01 tff(formula226, axiom, % 1.83/2.01 k!2407($i!val!31) = $i!val!31). % 1.83/2.01 tff(formula227, axiom, % 1.83/2.01 k!2407($i!val!37) = $i!val!37). % 1.83/2.01 tff(formula228, axiom, % 1.83/2.01 k!2407($i!val!56) = $i!val!56). % 1.83/2.01 tff(formula229, axiom, % 1.83/2.01 k!2407($i!val!30) = $i!val!30). % 1.83/2.01 tff(formula230, axiom, % 1.83/2.01 k!2407($i!val!38) = $i!val!38). % 1.83/2.01 tff(formula231, axiom, % 1.83/2.01 k!2407($i!val!34) = $i!val!34). % 1.83/2.01 tff(formula232, axiom, % 1.83/2.01 k!2407($i!val!36) = $i!val!36). % 1.83/2.01 tff(formula233, axiom, % 1.83/2.01 k!2407($i!val!25) = $i!val!25). % 1.83/2.01 tff(formula234, axiom, % 1.83/2.01 k!2407($i!val!51) = $i!val!51). % 1.83/2.01 tff(formula235, axiom, % 1.83/2.01 k!2407($i!val!52) = $i!val!52). % 1.83/2.01 tff(formula236, axiom, % 1.83/2.01 k!2407($i!val!41) = $i!val!41). % 1.83/2.01 tff(formula237, axiom, % 1.83/2.01 k!2407($i!val!32) = $i!val!32). % 1.83/2.01 tff(formula238, axiom, % 1.83/2.01 k!2407($i!val!53) = $i!val!53). % 1.83/2.01 tff(formula239, axiom, % 1.83/2.01 k!2407($i!val!21) = $i!val!21). % 1.83/2.01 tff(formula240, axiom, % 1.83/2.01 k!2407($i!val!33) = $i!val!33). % 1.83/2.01 tff(formula241, axiom, % 1.83/2.01 ![X0: $i] : ((~((($i!val!29 = X0)) | (($i!val!47 = X0)) | (($i!val!55 = X0)) | (($i!val!39 = X0)) | (($i!val!40 = X0)) | (($i!val!48 = X0)) | (($i!val!50 = X0)) | (($i!val!45 = X0)) | (($i!val!49 = X0)) | (($i!val!46 = X0)) | (($i!val!15 = X0)) | (($i!val!35 = X0)) | (($i!val!31 = X0)) | (($i!val!37 = X0)) | (($i!val!56 = X0)) | (($i!val!30 = X0)) | (($i!val!38 = X0)) | (($i!val!34 = X0)) | (($i!val!36 = X0)) | (($i!val!25 = X0)) | (($i!val!51 = X0)) | (($i!val!52 = X0)) | (($i!val!41 = X0)) | (($i!val!32 = X0)) | (($i!val!53 = X0)) | (($i!val!21 = X0)) | (($i!val!33 = X0)))) => (k!2407(X0) = $i!val!54))). % 1.83/2.01 tff(formula242, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP2(X0) <=> $true)). % 1.83/2.01 tff(formula243, axiom, % 1.83/2.01 ![X0: $i] : (ssSkP10(X0) <=> ((~(k!2406(X0) = $i!val!12)) & (~(k!2406(X0) = $i!val!5)) & (~(k!2406(X0) = $i!val!13)) & (~(k!2406(X0) = $i!val!27))))). % 1.83/2.01 tff(formula244, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!41)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!21)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!56)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!53)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!55)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!54)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!49)) | ((k!2406(X1) = $i!val!1) & (k!2407(X0) = $i!val!49)) | ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!32))))). % 1.83/2.01 tff(formula245, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> $false)). % 1.83/2.01 tff(formula246, axiom, % 1.83/2.01 ![X0: $i] : (c6_1(X0) <=> (k!2406(X0) = $i!val!0))). % 1.83/2.01 tff(formula247, axiom, % 1.83/2.01 ![X0: $i] : (c8_1(X0) <=> ((k!2406(X0) = $i!val!12) | (k!2406(X0) = $i!val!27) | (k!2406(X0) = $i!val!24)))). % 1.83/2.01 tff(formula248, axiom, % 1.83/2.01 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> ((k!2406(X1) = $i!val!27) & (k!2407(X0) = $i!val!32)))). % 1.85/2.02 tff(formula249, axiom, % 1.85/2.02 ![X0: $i] : (ssSkP6(X0) <=> $true)). % 1.85/2.02 tff(formula250, axiom, % 1.85/2.02 ![X0: $i] : (ssSkP5(X0) <=> $true)). % 1.85/2.02 % SZS output end Model % 1.85/2.02 % E exiting %------------------------------------------------------------------------------