%------------------------------------------------------------------------------ % 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 : 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 : 300s % DateTime : Sat Jun 21 05:39:02 AM UTC 2025 % Result : CounterSatisfiable 2.61s 2.84s % Output : Model 2.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN422+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n004.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 : 300 % 0.12/0.33 % DateTime : Fri Jun 20 12:33:37 EDT 2025 % 0.12/0.33 % CPUTime : % 2.61/2.84 % SZS status CounterSatisfiable % 2.61/2.84 % SZS output start Model % 2.61/2.84 tff(tptp_fun__i_val_9_type, type, ( % 2.61/2.84 tptp_fun__i_val_9: $i)). % 2.61/2.84 tff(a629_type, type, ( % 2.61/2.84 a629: $i)). % 2.61/2.84 tff(tptp_fun__i_val_6_type, type, ( % 2.61/2.84 tptp_fun__i_val_6: $i)). % 2.61/2.84 tff(a618_type, type, ( % 2.61/2.84 a618: $i)). % 2.61/2.84 tff(tptp_fun__i_val_48_type, type, ( % 2.61/2.84 tptp_fun__i_val_48: $i)). % 2.61/2.84 tff(a654_type, type, ( % 2.61/2.84 a654: $i)). % 2.61/2.84 tff(tptp_fun__i_val_2_type, type, ( % 2.61/2.84 tptp_fun__i_val_2: $i)). % 2.61/2.84 tff(a614_type, type, ( % 2.61/2.84 a614: $i)). % 2.61/2.84 tff(tptp_fun__i_val_22_type, type, ( % 2.61/2.84 tptp_fun__i_val_22: $i)). % 2.61/2.84 tff(a658_type, type, ( % 2.61/2.84 a658: $i)). % 2.61/2.84 tff(tptp_fun__i_val_11_type, type, ( % 2.61/2.84 tptp_fun__i_val_11: $i)). % 2.61/2.84 tff(a634_type, type, ( % 2.61/2.84 a634: $i)). % 2.61/2.84 tff(c9_0_type, type, ( % 2.61/2.84 c9_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_3_type, type, ( % 2.61/2.84 tptp_fun__i_val_3: $i)). % 2.61/2.84 tff(a615_type, type, ( % 2.61/2.84 a615: $i)). % 2.61/2.84 tff(tptp_fun__i_val_5_type, type, ( % 2.61/2.84 tptp_fun__i_val_5: $i)). % 2.61/2.84 tff(a617_type, type, ( % 2.61/2.84 a617: $i)). % 2.61/2.84 tff(c7_0_type, type, ( % 2.61/2.84 c7_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_55_type, type, ( % 2.61/2.84 tptp_fun__i_val_55: $i)). % 2.61/2.84 tff(a719_type, type, ( % 2.61/2.84 a719: $i)). % 2.61/2.84 tff(c8_0_type, type, ( % 2.61/2.84 c8_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_12_type, type, ( % 2.61/2.84 tptp_fun__i_val_12: $i)). % 2.61/2.84 tff(a639_type, type, ( % 2.61/2.84 a639: $i)). % 2.61/2.84 tff(tptp_fun__i_val_35_type, type, ( % 2.61/2.84 tptp_fun__i_val_35: $i)). % 2.61/2.84 tff(a708_type, type, ( % 2.61/2.84 a708: $i)). % 2.61/2.84 tff(tptp_fun__i_val_23_type, type, ( % 2.61/2.84 tptp_fun__i_val_23: $i)). % 2.61/2.84 tff(a660_type, type, ( % 2.61/2.84 a660: $i)). % 2.61/2.84 tff(tptp_fun__i_val_49_type, type, ( % 2.61/2.84 tptp_fun__i_val_49: $i)). % 2.61/2.84 tff(a747_type, type, ( % 2.61/2.84 a747: $i)). % 2.61/2.84 tff(tptp_fun__i_val_56_type, type, ( % 2.61/2.84 tptp_fun__i_val_56: $i)). % 2.61/2.84 tff(a722_type, type, ( % 2.61/2.84 a722: $i)). % 2.61/2.84 tff(tptp_fun__i_val_64_type, type, ( % 2.61/2.84 tptp_fun__i_val_64: $i)). % 2.61/2.84 tff(a664_type, type, ( % 2.61/2.84 a664: $i)). % 2.61/2.84 tff(tptp_fun__i_val_62_type, type, ( % 2.61/2.84 tptp_fun__i_val_62: $i)). % 2.61/2.84 tff(a684_type, type, ( % 2.61/2.84 a684: $i)). % 2.61/2.84 tff(c10_0_type, type, ( % 2.61/2.84 c10_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_57_type, type, ( % 2.61/2.84 tptp_fun__i_val_57: $i)). % 2.61/2.84 tff(a731_type, type, ( % 2.61/2.84 a731: $i)). % 2.61/2.84 tff(tptp_fun__i_val_24_type, type, ( % 2.61/2.84 tptp_fun__i_val_24: $i)). % 2.61/2.84 tff(a665_type, type, ( % 2.61/2.84 a665: $i)). % 2.61/2.84 tff(c1_0_type, type, ( % 2.61/2.84 c1_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_16_type, type, ( % 2.61/2.84 tptp_fun__i_val_16: $i)). % 2.61/2.84 tff(a646_type, type, ( % 2.61/2.84 a646: $i)). % 2.61/2.84 tff(tptp_fun__i_val_41_type, type, ( % 2.61/2.84 tptp_fun__i_val_41: $i)). % 2.61/2.84 tff(a753_type, type, ( % 2.61/2.84 a753: $i)). % 2.61/2.84 tff(tptp_fun__i_val_1_type, type, ( % 2.61/2.84 tptp_fun__i_val_1: $i)). % 2.61/2.84 tff(a612_type, type, ( % 2.61/2.84 a612: $i)). % 2.61/2.84 tff(tptp_fun__i_val_7_type, type, ( % 2.61/2.84 tptp_fun__i_val_7: $i)). % 2.61/2.84 tff(a621_type, type, ( % 2.61/2.84 a621: $i)). % 2.61/2.84 tff(tptp_fun__i_val_8_type, type, ( % 2.61/2.84 tptp_fun__i_val_8: $i)). % 2.61/2.84 tff(a625_type, type, ( % 2.61/2.84 a625: $i)). % 2.61/2.84 tff(tptp_fun__i_val_18_type, type, ( % 2.61/2.84 tptp_fun__i_val_18: $i)). % 2.61/2.84 tff(a649_type, type, ( % 2.61/2.84 a649: $i)). % 2.61/2.84 tff(tptp_fun__i_val_39_type, type, ( % 2.61/2.84 tptp_fun__i_val_39: $i)). % 2.61/2.84 tff(a740_type, type, ( % 2.61/2.84 a740: $i)). % 2.61/2.84 tff(tptp_fun__i_val_28_type, type, ( % 2.61/2.84 tptp_fun__i_val_28: $i)). % 2.61/2.84 tff(a686_type, type, ( % 2.61/2.84 a686: $i)). % 2.61/2.84 tff(tptp_fun__i_val_17_type, type, ( % 2.61/2.84 tptp_fun__i_val_17: $i)). % 2.61/2.84 tff(a647_type, type, ( % 2.61/2.84 a647: $i)). % 2.61/2.84 tff(tptp_fun__i_val_54_type, type, ( % 2.61/2.84 tptp_fun__i_val_54: $i)). % 2.61/2.84 tff(a620_type, type, ( % 2.61/2.84 a620: $i)). % 2.61/2.84 tff(c4_0_type, type, ( % 2.61/2.84 c4_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_33_type, type, ( % 2.61/2.84 tptp_fun__i_val_33: $i)). % 2.61/2.84 tff(a698_type, type, ( % 2.61/2.84 a698: $i)). % 2.61/2.84 tff(tptp_fun__i_val_13_type, type, ( % 2.61/2.84 tptp_fun__i_val_13: $i)). % 2.61/2.84 tff(a643_type, type, ( % 2.61/2.84 a643: $i)). % 2.61/2.84 tff(tptp_fun__i_val_65_type, type, ( % 2.61/2.84 tptp_fun__i_val_65: $i)). % 2.61/2.84 tff(a749_type, type, ( % 2.61/2.84 a749: $i)). % 2.61/2.84 tff(tptp_fun__i_val_30_type, type, ( % 2.61/2.84 tptp_fun__i_val_30: $i)). % 2.61/2.84 tff(a688_type, type, ( % 2.61/2.84 a688: $i)). % 2.61/2.84 tff(tptp_fun__i_val_37_type, type, ( % 2.61/2.84 tptp_fun__i_val_37: $i)). % 2.61/2.84 tff(a721_type, type, ( % 2.61/2.84 a721: $i)). % 2.61/2.84 tff(tptp_fun__i_val_0_type, type, ( % 2.61/2.84 tptp_fun__i_val_0: $i)). % 2.61/2.84 tff(a609_type, type, ( % 2.61/2.84 a609: $i)). % 2.61/2.84 tff(tptp_fun__i_val_26_type, type, ( % 2.61/2.84 tptp_fun__i_val_26: $i)). % 2.61/2.84 tff(a669_type, type, ( % 2.61/2.84 a669: $i)). % 2.61/2.84 tff(c2_0_type, type, ( % 2.61/2.84 c2_0: $o)). % 2.61/2.84 tff(c6_0_type, type, ( % 2.61/2.84 c6_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_52_type, type, ( % 2.61/2.84 tptp_fun__i_val_52: $i)). % 2.61/2.84 tff(a751_type, type, ( % 2.61/2.84 a751: $i)). % 2.61/2.84 tff(tptp_fun__i_val_61_type, type, ( % 2.61/2.84 tptp_fun__i_val_61: $i)). % 2.61/2.84 tff(a752_type, type, ( % 2.61/2.84 a752: $i)). % 2.61/2.84 tff(tptp_fun__i_val_47_type, type, ( % 2.61/2.84 tptp_fun__i_val_47: $i)). % 2.61/2.84 tff(a706_type, type, ( % 2.61/2.84 a706: $i)). % 2.61/2.84 tff(tptp_fun__i_val_19_type, type, ( % 2.61/2.84 tptp_fun__i_val_19: $i)). % 2.61/2.84 tff(a651_type, type, ( % 2.61/2.84 a651: $i)). % 2.61/2.84 tff(tptp_fun__i_val_66_type, type, ( % 2.61/2.84 tptp_fun__i_val_66: $i)). % 2.61/2.84 tff(a750_type, type, ( % 2.61/2.84 a750: $i)). % 2.61/2.84 tff(tptp_fun__i_val_31_type, type, ( % 2.61/2.84 tptp_fun__i_val_31: $i)). % 2.61/2.84 tff(a690_type, type, ( % 2.61/2.84 a690: $i)). % 2.61/2.84 tff(tptp_fun__i_val_34_type, type, ( % 2.61/2.84 tptp_fun__i_val_34: $i)). % 2.61/2.84 tff(a699_type, type, ( % 2.61/2.84 a699: $i)). % 2.61/2.84 tff(tptp_fun__i_val_50_type, type, ( % 2.61/2.84 tptp_fun__i_val_50: $i)). % 2.61/2.84 tff(a726_type, type, ( % 2.61/2.84 a726: $i)). % 2.61/2.84 tff(tptp_fun__i_val_29_type, type, ( % 2.61/2.84 tptp_fun__i_val_29: $i)). % 2.61/2.84 tff(a687_type, type, ( % 2.61/2.84 a687: $i)). % 2.61/2.84 tff(tptp_fun__i_val_20_type, type, ( % 2.61/2.84 tptp_fun__i_val_20: $i)). % 2.61/2.84 tff(a653_type, type, ( % 2.61/2.84 a653: $i)). % 2.61/2.84 tff(tptp_fun__i_val_40_type, type, ( % 2.61/2.84 tptp_fun__i_val_40: $i)). % 2.61/2.84 tff(a742_type, type, ( % 2.61/2.84 a742: $i)). % 2.61/2.84 tff(ndr1_0_type, type, ( % 2.61/2.84 ndr1_0: $o)). % 2.61/2.84 tff(c3_0_type, type, ( % 2.61/2.84 c3_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_10_type, type, ( % 2.61/2.84 tptp_fun__i_val_10: $i)). % 2.61/2.84 tff(a633_type, type, ( % 2.61/2.84 a633: $i)). % 2.61/2.84 tff(tptp_fun__i_val_25_type, type, ( % 2.61/2.84 tptp_fun__i_val_25: $i)). % 2.61/2.84 tff(a668_type, type, ( % 2.61/2.84 a668: $i)). % 2.61/2.84 tff(tptp_fun__i_val_32_type, type, ( % 2.61/2.84 tptp_fun__i_val_32: $i)). % 2.61/2.84 tff(a691_type, type, ( % 2.61/2.84 a691: $i)). % 2.61/2.84 tff(tptp_fun__i_val_36_type, type, ( % 2.61/2.84 tptp_fun__i_val_36: $i)). % 2.61/2.84 tff(a707_type, type, ( % 2.61/2.84 a707: $i)). % 2.61/2.84 tff(tptp_fun__i_val_42_type, type, ( % 2.61/2.84 tptp_fun__i_val_42: $i)). % 2.61/2.84 tff(a754_type, type, ( % 2.61/2.84 a754: $i)). % 2.61/2.84 tff(tptp_fun__i_val_44_type, type, ( % 2.61/2.84 tptp_fun__i_val_44: $i)). % 2.61/2.84 tff(a757_type, type, ( % 2.61/2.84 a757: $i)). % 2.61/2.84 tff(tptp_fun__i_val_58_type, type, ( % 2.61/2.84 tptp_fun__i_val_58: $i)). % 2.61/2.84 tff(a666_type, type, ( % 2.61/2.84 a666: $i)). % 2.61/2.84 tff(tptp_fun__i_val_46_type, type, ( % 2.61/2.84 tptp_fun__i_val_46: $i)). % 2.61/2.84 tff(a671_type, type, ( % 2.61/2.84 a671: $i)). % 2.61/2.84 tff(tptp_fun__i_val_51_type, type, ( % 2.61/2.84 tptp_fun__i_val_51: $i)). % 2.61/2.84 tff(a720_type, type, ( % 2.61/2.84 a720: $i)). % 2.61/2.84 tff(tptp_fun__i_val_59_type, type, ( % 2.61/2.84 tptp_fun__i_val_59: $i)). % 2.61/2.84 tff(a743_type, type, ( % 2.61/2.84 a743: $i)). % 2.61/2.84 tff(tptp_fun__i_val_21_type, type, ( % 2.61/2.84 tptp_fun__i_val_21: $i)). % 2.61/2.84 tff(a655_type, type, ( % 2.61/2.84 a655: $i)). % 2.61/2.84 tff(tptp_fun__i_val_38_type, type, ( % 2.61/2.84 tptp_fun__i_val_38: $i)). % 2.61/2.84 tff(a739_type, type, ( % 2.61/2.84 a739: $i)). % 2.61/2.84 tff(tptp_fun__i_val_15_type, type, ( % 2.61/2.84 tptp_fun__i_val_15: $i)). % 2.61/2.84 tff(a645_type, type, ( % 2.61/2.84 a645: $i)). % 2.61/2.84 tff(tptp_fun__i_val_27_type, type, ( % 2.61/2.84 tptp_fun__i_val_27: $i)). % 2.61/2.84 tff(a673_type, type, ( % 2.61/2.84 a673: $i)). % 2.61/2.84 tff(c5_0_type, type, ( % 2.61/2.84 c5_0: $o)). % 2.61/2.84 tff(tptp_fun__i_val_60_type, type, ( % 2.61/2.84 tptp_fun__i_val_60: $i)). % 2.61/2.84 tff(a732_type, type, ( % 2.61/2.84 a732: $i)). % 2.61/2.84 tff(tptp_fun__i_val_53_type, type, ( % 2.61/2.84 tptp_fun__i_val_53: $i)). % 2.61/2.84 tff(a638_type, type, ( % 2.61/2.84 a638: $i)). % 2.61/2.84 tff(tptp_fun__i_val_43_type, type, ( % 2.61/2.84 tptp_fun__i_val_43: $i)). % 2.61/2.84 tff(a756_type, type, ( % 2.61/2.84 a756: $i)). % 2.61/2.84 tff(tptp_fun__i_val_4_type, type, ( % 2.61/2.84 tptp_fun__i_val_4: $i)). % 2.61/2.84 tff(a616_type, type, ( % 2.61/2.84 a616: $i)). % 2.61/2.84 tff(tptp_fun__i_val_45_type, type, ( % 2.61/2.84 tptp_fun__i_val_45: $i)). % 2.61/2.84 tff(a744_type, type, ( % 2.61/2.84 a744: $i)). % 2.61/2.84 tff(tptp_fun__i_val_14_type, type, ( % 2.61/2.84 tptp_fun__i_val_14: $i)). % 2.61/2.84 tff(a642_type, type, ( % 2.61/2.84 a642: $i)). % 2.61/2.84 tff(tptp_fun__i_val_63_type, type, ( % 2.61/2.84 tptp_fun__i_val_63: $i)). % 2.61/2.84 tff(a659_type, type, ( % 2.61/2.84 a659: $i)). % 2.61/2.84 tff(k!2665_type, type, ( % 2.61/2.84 k!2665: $i > $i)). % 2.61/2.84 tff(c10_1_type, type, ( % 2.61/2.84 c10_1: $i > $o)). % 2.61/2.84 tff(ndr1_1_type, type, ( % 2.61/2.84 ndr1_1: $i > $o)). % 2.61/2.84 tff(k!2664_type, type, ( % 2.61/2.84 k!2664: $i > $i)). % 2.61/2.84 tff(c7_2_type, type, ( % 2.61/2.84 c7_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c5_1_type, type, ( % 2.61/2.84 c5_1: $i > $o)). % 2.61/2.84 tff(c3_1_type, type, ( % 2.61/2.84 c3_1: $i > $o)). % 2.61/2.84 tff(c2_1_type, type, ( % 2.61/2.84 c2_1: $i > $o)). % 2.61/2.84 tff(c10_2_type, type, ( % 2.61/2.84 c10_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c1_2_type, type, ( % 2.61/2.84 c1_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c4_1_type, type, ( % 2.61/2.84 c4_1: $i > $o)). % 2.61/2.84 tff(c9_1_type, type, ( % 2.61/2.84 c9_1: $i > $o)). % 2.61/2.84 tff(c1_1_type, type, ( % 2.61/2.84 c1_1: $i > $o)). % 2.61/2.84 tff(c3_2_type, type, ( % 2.61/2.84 c3_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c4_2_type, type, ( % 2.61/2.84 c4_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c7_1_type, type, ( % 2.61/2.84 c7_1: $i > $o)). % 2.61/2.84 tff(c5_2_type, type, ( % 2.61/2.84 c5_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c9_2_type, type, ( % 2.61/2.84 c9_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c8_2_type, type, ( % 2.61/2.84 c8_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c8_1_type, type, ( % 2.61/2.84 c8_1: $i > $o)). % 2.61/2.84 tff(c6_1_type, type, ( % 2.61/2.84 c6_1: $i > $o)). % 2.61/2.84 tff(c2_2_type, type, ( % 2.61/2.84 c2_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(c6_2_type, type, ( % 2.61/2.84 c6_2: ( $i * $i ) > $o)). % 2.61/2.84 tff(formula1, axiom, % 2.61/2.84 a629 = $i!val!9). % 2.61/2.84 tff(formula2, axiom, % 2.61/2.84 a618 = $i!val!6). % 2.61/2.84 tff(formula3, axiom, % 2.61/2.84 a654 = $i!val!48). % 2.61/2.84 tff(formula4, axiom, % 2.61/2.84 a614 = $i!val!2). % 2.61/2.84 tff(formula5, axiom, % 2.61/2.84 a658 = $i!val!22). % 2.61/2.84 tff(formula6, axiom, % 2.61/2.84 a634 = $i!val!11). % 2.61/2.84 tff(formula7, axiom, % 2.61/2.84 c9_0 <=> $true). % 2.61/2.84 tff(formula8, axiom, % 2.61/2.84 a615 = $i!val!3). % 2.61/2.84 tff(formula9, axiom, % 2.61/2.84 a617 = $i!val!5). % 2.61/2.84 tff(formula10, axiom, % 2.61/2.84 c7_0 <=> $false). % 2.61/2.84 tff(formula11, axiom, % 2.61/2.84 a719 = $i!val!55). % 2.61/2.84 tff(formula12, axiom, % 2.61/2.84 c8_0 <=> $true). % 2.61/2.84 tff(formula13, axiom, % 2.61/2.84 a639 = $i!val!12). % 2.61/2.84 tff(formula14, axiom, % 2.61/2.84 a708 = $i!val!35). % 2.61/2.84 tff(formula15, axiom, % 2.61/2.84 a660 = $i!val!23). % 2.61/2.84 tff(formula16, axiom, % 2.61/2.84 a747 = $i!val!49). % 2.61/2.84 tff(formula17, axiom, % 2.61/2.84 a722 = $i!val!56). % 2.61/2.84 tff(formula18, axiom, % 2.61/2.84 a664 = $i!val!64). % 2.61/2.84 tff(formula19, axiom, % 2.61/2.84 a684 = $i!val!62). % 2.61/2.84 tff(formula20, axiom, % 2.61/2.84 c10_0 <=> $false). % 2.61/2.84 tff(formula21, axiom, % 2.61/2.84 a731 = $i!val!57). % 2.61/2.84 tff(formula22, axiom, % 2.61/2.84 a665 = $i!val!24). % 2.61/2.84 tff(formula23, axiom, % 2.61/2.84 c1_0 <=> $false). % 2.61/2.84 tff(formula24, axiom, % 2.61/2.84 a646 = $i!val!16). % 2.61/2.84 tff(formula25, axiom, % 2.61/2.84 a753 = $i!val!41). % 2.61/2.84 tff(formula26, axiom, % 2.61/2.84 a612 = $i!val!1). % 2.61/2.84 tff(formula27, axiom, % 2.61/2.84 a621 = $i!val!7). % 2.61/2.84 tff(formula28, axiom, % 2.61/2.84 a625 = $i!val!8). % 2.61/2.84 tff(formula29, axiom, % 2.61/2.84 a649 = $i!val!18). % 2.61/2.84 tff(formula30, axiom, % 2.61/2.84 a740 = $i!val!39). % 2.61/2.84 tff(formula31, axiom, % 2.61/2.84 a686 = $i!val!28). % 2.61/2.84 tff(formula32, axiom, % 2.61/2.84 a647 = $i!val!17). % 2.61/2.84 tff(formula33, axiom, % 2.61/2.84 a620 = $i!val!54). % 2.61/2.84 tff(formula34, axiom, % 2.61/2.84 c4_0 <=> $true). % 2.61/2.84 tff(formula35, axiom, % 2.61/2.84 a698 = $i!val!33). % 2.61/2.84 tff(formula36, axiom, % 2.61/2.84 a643 = $i!val!13). % 2.61/2.84 tff(formula37, axiom, % 2.61/2.84 a749 = $i!val!65). % 2.61/2.84 tff(formula38, axiom, % 2.61/2.84 a688 = $i!val!30). % 2.61/2.84 tff(formula39, axiom, % 2.61/2.84 a721 = $i!val!37). % 2.61/2.84 tff(formula40, axiom, % 2.61/2.84 a609 = $i!val!0). % 2.61/2.84 tff(formula41, axiom, % 2.61/2.84 a669 = $i!val!26). % 2.61/2.84 tff(formula42, axiom, % 2.61/2.84 c2_0 <=> $false). % 2.61/2.84 tff(formula43, axiom, % 2.61/2.84 c6_0 <=> $false). % 2.61/2.84 tff(formula44, axiom, % 2.61/2.84 a751 = $i!val!52). % 2.61/2.84 tff(formula45, axiom, % 2.61/2.84 a752 = $i!val!61). % 2.61/2.84 tff(formula46, axiom, % 2.61/2.84 a706 = $i!val!47). % 2.61/2.84 tff(formula47, axiom, % 2.61/2.84 a651 = $i!val!19). % 2.61/2.84 tff(formula48, axiom, % 2.61/2.84 a750 = $i!val!66). % 2.61/2.84 tff(formula49, axiom, % 2.61/2.84 a690 = $i!val!31). % 2.61/2.84 tff(formula50, axiom, % 2.61/2.84 a699 = $i!val!34). % 2.61/2.84 tff(formula51, axiom, % 2.61/2.84 a726 = $i!val!50). % 2.61/2.84 tff(formula52, axiom, % 2.61/2.84 a687 = $i!val!29). % 2.61/2.84 tff(formula53, axiom, % 2.61/2.84 a653 = $i!val!20). % 2.61/2.84 tff(formula54, axiom, % 2.61/2.84 a742 = $i!val!40). % 2.61/2.84 tff(formula55, axiom, % 2.61/2.84 ndr1_0 <=> $true). % 2.61/2.84 tff(formula56, axiom, % 2.61/2.84 c3_0 <=> $true). % 2.61/2.84 tff(formula57, axiom, % 2.61/2.84 a633 = $i!val!10). % 2.61/2.84 tff(formula58, axiom, % 2.61/2.84 a668 = $i!val!25). % 2.61/2.84 tff(formula59, axiom, % 2.61/2.84 a691 = $i!val!32). % 2.61/2.84 tff(formula60, axiom, % 2.61/2.84 a707 = $i!val!36). % 2.61/2.84 tff(formula61, axiom, % 2.61/2.84 a754 = $i!val!42). % 2.61/2.84 tff(formula62, axiom, % 2.61/2.84 a757 = $i!val!44). % 2.61/2.84 tff(formula63, axiom, % 2.61/2.84 a666 = $i!val!58). % 2.61/2.84 tff(formula64, axiom, % 2.61/2.84 a671 = $i!val!46). % 2.61/2.84 tff(formula65, axiom, % 2.61/2.84 a720 = $i!val!51). % 2.61/2.84 tff(formula66, axiom, % 2.61/2.84 a743 = $i!val!59). % 2.61/2.84 tff(formula67, axiom, % 2.61/2.84 a655 = $i!val!21). % 2.61/2.84 tff(formula68, axiom, % 2.61/2.84 a739 = $i!val!38). % 2.61/2.84 tff(formula69, axiom, % 2.61/2.84 a645 = $i!val!15). % 2.61/2.84 tff(formula70, axiom, % 2.61/2.84 a673 = $i!val!27). % 2.61/2.84 tff(formula71, axiom, % 2.61/2.84 c5_0 <=> $false). % 2.61/2.84 tff(formula72, axiom, % 2.61/2.84 a732 = $i!val!60). % 2.61/2.84 tff(formula73, axiom, % 2.61/2.84 a638 = $i!val!53). % 2.61/2.84 tff(formula74, axiom, % 2.61/2.84 a756 = $i!val!43). % 2.61/2.84 tff(formula75, axiom, % 2.61/2.84 a616 = $i!val!4). % 2.61/2.84 tff(formula76, axiom, % 2.61/2.84 a744 = $i!val!45). % 2.61/2.84 tff(formula77, axiom, % 2.61/2.84 a642 = $i!val!14). % 2.61/2.84 tff(formula78, axiom, % 2.61/2.84 a659 = $i!val!63). % 2.61/2.84 tff(formula79, axiom, % 2.61/2.84 ![X0: $i] : (c10_1(X0) <=> ((k!2665(X0) = $i!val!10) | (k!2665(X0) = $i!val!12) | (k!2665(X0) = $i!val!8) | (k!2665(X0) = $i!val!41) | (k!2665(X0) = $i!val!7) | (k!2665(X0) = $i!val!21) | (k!2665(X0) = $i!val!31) | (k!2665(X0) = $i!val!44)))). % 2.61/2.84 tff(formula80, axiom, % 2.61/2.84 ![X0: $i] : (ndr1_1(X0) <=> ((k!2665(X0) = $i!val!28) | (k!2665(X0) = $i!val!10) | (k!2665(X0) = $i!val!33) | (k!2665(X0) = $i!val!15) | (k!2665(X0) = $i!val!5) | (k!2665(X0) = $i!val!41)))). % 2.61/2.84 tff(formula81, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> ((~((k!2665(X1) = $i!val!15) & (k!2664(X0) = $i!val!63))) & (~((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!63)))))). % 2.61/2.84 tff(formula82, axiom, % 2.61/2.84 k!2665($i!val!37) = $i!val!37). % 2.61/2.84 tff(formula83, axiom, % 2.61/2.84 k!2665($i!val!2) = $i!val!2). % 2.61/2.84 tff(formula84, axiom, % 2.61/2.84 k!2665($i!val!0) = $i!val!0). % 2.61/2.84 tff(formula85, axiom, % 2.61/2.84 k!2665($i!val!22) = $i!val!22). % 2.61/2.84 tff(formula86, axiom, % 2.61/2.84 k!2665($i!val!26) = $i!val!26). % 2.61/2.84 tff(formula87, axiom, % 2.61/2.84 k!2665($i!val!19) = $i!val!19). % 2.61/2.84 tff(formula88, axiom, % 2.61/2.84 k!2665($i!val!31) = $i!val!31). % 2.61/2.84 tff(formula89, axiom, % 2.61/2.84 k!2665($i!val!12) = $i!val!12). % 2.61/2.84 tff(formula90, axiom, % 2.61/2.84 k!2665($i!val!35) = $i!val!35). % 2.61/2.84 tff(formula91, axiom, % 2.61/2.84 k!2665($i!val!10) = $i!val!10). % 2.61/2.84 tff(formula92, axiom, % 2.61/2.84 k!2665($i!val!23) = $i!val!23). % 2.61/2.84 tff(formula93, axiom, % 2.61/2.84 k!2665($i!val!44) = $i!val!44). % 2.61/2.84 tff(formula94, axiom, % 2.61/2.84 k!2665($i!val!25) = $i!val!25). % 2.61/2.84 tff(formula95, axiom, % 2.61/2.84 k!2665($i!val!36) = $i!val!36). % 2.61/2.84 tff(formula96, axiom, % 2.61/2.84 k!2665($i!val!24) = $i!val!24). % 2.61/2.84 tff(formula97, axiom, % 2.61/2.84 k!2665($i!val!41) = $i!val!41). % 2.61/2.84 tff(formula98, axiom, % 2.61/2.84 k!2665($i!val!21) = $i!val!21). % 2.61/2.84 tff(formula99, axiom, % 2.61/2.84 k!2665($i!val!38) = $i!val!38). % 2.61/2.84 tff(formula100, axiom, % 2.61/2.84 k!2665($i!val!15) = $i!val!15). % 2.61/2.84 tff(formula101, axiom, % 2.61/2.84 k!2665($i!val!27) = $i!val!27). % 2.61/2.84 tff(formula102, axiom, % 2.61/2.84 k!2665($i!val!8) = $i!val!8). % 2.61/2.84 tff(formula103, axiom, % 2.61/2.84 k!2665($i!val!7) = $i!val!7). % 2.61/2.84 tff(formula104, axiom, % 2.61/2.84 k!2665($i!val!18) = $i!val!18). % 2.61/2.84 tff(formula105, axiom, % 2.61/2.84 k!2665($i!val!39) = $i!val!39). % 2.61/2.84 tff(formula106, axiom, % 2.61/2.84 k!2665($i!val!28) = $i!val!28). % 2.61/2.84 tff(formula107, axiom, % 2.61/2.84 k!2665($i!val!43) = $i!val!43). % 2.61/2.84 tff(formula108, axiom, % 2.61/2.84 k!2665($i!val!33) = $i!val!33). % 2.61/2.84 tff(formula109, axiom, % 2.61/2.84 k!2665($i!val!5) = $i!val!5). % 2.61/2.84 tff(formula110, axiom, % 2.61/2.84 ![X0: $i] : ((~((($i!val!37 = X0)) | (($i!val!2 = X0)) | (($i!val!0 = X0)) | (($i!val!22 = X0)) | (($i!val!26 = X0)) | (($i!val!19 = X0)) | (($i!val!31 = X0)) | (($i!val!12 = X0)) | (($i!val!35 = X0)) | (($i!val!10 = X0)) | (($i!val!23 = X0)) | (($i!val!44 = X0)) | (($i!val!25 = X0)) | (($i!val!36 = X0)) | (($i!val!24 = X0)) | (($i!val!41 = X0)) | (($i!val!21 = X0)) | (($i!val!38 = X0)) | (($i!val!15 = X0)) | (($i!val!27 = X0)) | (($i!val!8 = X0)) | (($i!val!7 = X0)) | (($i!val!18 = X0)) | (($i!val!39 = X0)) | (($i!val!28 = X0)) | (($i!val!43 = X0)) | (($i!val!33 = X0)) | (($i!val!5 = X0)))) => (k!2665(X0) = $i!val!6))). % 2.61/2.84 tff(formula111, axiom, % 2.61/2.84 c5_1($i!val!5) <=> $true). % 2.61/2.84 tff(formula112, axiom, % 2.61/2.84 c5_1($i!val!23) <=> $true). % 2.61/2.84 tff(formula113, axiom, % 2.61/2.84 c5_1($i!val!44) <=> $true). % 2.61/2.84 tff(formula114, axiom, % 2.61/2.84 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!23 = X0)) | (($i!val!44 = X0)))) => (c5_1(X0) <=> $false))). % 2.61/2.84 tff(formula115, axiom, % 2.61/2.84 ![X0: $i] : (c3_1(X0) <=> ((k!2665(X0) = $i!val!37) | (k!2665(X0) = $i!val!6)))). % 2.61/2.84 tff(formula116, axiom, % 2.61/2.84 ![X0: $i] : (c2_1(X0) <=> ((k!2665(X0) = $i!val!33) | (k!2665(X0) = $i!val!5) | (k!2665(X0) = $i!val!21)))). % 2.61/2.84 tff(formula117, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> ((k!2665(X1) = $i!val!41) & (k!2664(X0) = $i!val!42)))). % 2.61/2.84 tff(formula118, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!34)))). % 2.61/2.84 tff(formula119, axiom, % 2.61/2.84 ![X0: $i] : (c4_1(X0) <=> (k!2665(X0) = $i!val!37))). % 2.61/2.84 tff(formula120, axiom, % 2.61/2.84 ![X0: $i] : (c9_1(X0) <=> ((k!2665(X0) = $i!val!33) | (k!2665(X0) = $i!val!5)))). % 2.61/2.84 tff(formula121, axiom, % 2.61/2.84 ![X0: $i] : (c1_1(X0) <=> ((k!2665(X0) = $i!val!28) | (k!2665(X0) = $i!val!33) | (k!2665(X0) = $i!val!6) | (k!2665(X0) = $i!val!35) | (k!2665(X0) = $i!val!7) | (k!2665(X0) = $i!val!31)))). % 2.61/2.84 tff(formula122, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 2.61/2.84 tff(formula123, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!30)) | ((k!2665(X1) = $i!val!24) & (k!2664(X0) = $i!val!50)) | ((k!2665(X1) = $i!val!24) & (k!2664(X0) = $i!val!9)) | ((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!29)) | ((k!2665(X1) = $i!val!24) & (k!2664(X0) = $i!val!17)) | ((k!2665(X1) = $i!val!24) & (k!2664(X0) = $i!val!49))))). % 2.61/2.84 tff(formula124, axiom, % 2.61/2.84 ![X0: $i] : (c7_1(X0) <=> ((k!2665(X0) = $i!val!22) | (k!2665(X0) = $i!val!37)))). % 2.61/2.84 tff(formula125, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!2665(X1) = $i!val!10) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!47)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!49)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!49)) | ((k!2665(X1) = $i!val!15) & (k!2664(X0) = $i!val!17)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!47))))). % 2.61/2.84 tff(formula126, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> ((~((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!59))) & (~((k!2665(X1) = $i!val!41) & (k!2664(X0) = $i!val!59))) & (~((k!2665(X1) = $i!val!15) & (k!2664(X0) = $i!val!59))) & (~((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!47))) & (~((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!47))) & (~((k!2665(X1) = $i!val!15) & (k!2664(X0) = $i!val!17))) & (~((k!2665(X1) = $i!val!15) & (k!2664(X0) = $i!val!16)))))). % 2.61/2.84 tff(formula127, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!45)) | ((k!2665(X1) = $i!val!10) & (k!2664(X0) = $i!val!45)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!46)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!46)) | ((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!45))))). % 2.61/2.84 tff(formula128, axiom, % 2.61/2.84 ![X0: $i] : (c8_1(X0) <=> (k!2665(X0) = $i!val!28))). % 2.61/2.84 tff(formula129, axiom, % 2.61/2.84 ![X0: $i] : (c6_1(X0) <=> (k!2665(X0) = $i!val!43))). % 2.61/2.84 tff(formula130, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!30)) | ((k!2665(X1) = $i!val!10) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!66)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!64)) | ((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!46)) | ((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!66)) | ((k!2665(X1) = $i!val!10) & (k!2664(X0) = $i!val!66)) | ((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!46))))). % 2.61/2.84 tff(formula131, axiom, % 2.61/2.84 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> ((~((k!2665(X1) = $i!val!28) & (k!2664(X0) = $i!val!63))) & (~((k!2665(X1) = $i!val!5) & (k!2664(X0) = $i!val!46))) & (~((k!2665(X1) = $i!val!33) & (k!2664(X0) = $i!val!46)))))). % 2.61/2.84 tff(formula132, axiom, % 2.61/2.84 k!2664($i!val!63) = $i!val!63). % 2.61/2.84 tff(formula133, axiom, % 2.61/2.84 k!2664($i!val!48) = $i!val!48). % 2.61/2.84 tff(formula134, axiom, % 2.61/2.84 k!2664($i!val!30) = $i!val!30). % 2.61/2.84 tff(formula135, axiom, % 2.61/2.84 k!2664($i!val!4) = $i!val!4). % 2.61/2.84 tff(formula136, axiom, % 2.61/2.84 k!2664($i!val!11) = $i!val!11). % 2.61/2.84 tff(formula137, axiom, % 2.61/2.84 k!2664($i!val!3) = $i!val!3). % 2.61/2.84 tff(formula138, axiom, % 2.61/2.84 k!2664($i!val!61) = $i!val!61). % 2.61/2.84 tff(formula139, axiom, % 2.61/2.84 k!2664($i!val!52) = $i!val!52). % 2.61/2.84 tff(formula140, axiom, % 2.61/2.84 k!2664($i!val!47) = $i!val!47). % 2.61/2.84 tff(formula141, axiom, % 2.61/2.84 k!2664($i!val!55) = $i!val!55). % 2.61/2.84 tff(formula142, axiom, % 2.61/2.84 k!2664($i!val!66) = $i!val!66). % 2.61/2.84 tff(formula143, axiom, % 2.61/2.84 k!2664($i!val!34) = $i!val!34). % 2.61/2.84 tff(formula144, axiom, % 2.61/2.84 k!2664($i!val!50) = $i!val!50). % 2.61/2.84 tff(formula145, axiom, % 2.61/2.84 k!2664($i!val!29) = $i!val!29). % 2.61/2.84 tff(formula146, axiom, % 2.61/2.84 k!2664($i!val!20) = $i!val!20). % 2.61/2.84 tff(formula147, axiom, % 2.61/2.84 k!2664($i!val!40) = $i!val!40). % 2.61/2.84 tff(formula148, axiom, % 2.61/2.84 k!2664($i!val!56) = $i!val!56). % 2.61/2.84 tff(formula149, axiom, % 2.61/2.84 k!2664($i!val!49) = $i!val!49). % 2.61/2.84 tff(formula150, axiom, % 2.61/2.84 k!2664($i!val!42) = $i!val!42). % 2.61/2.84 tff(formula151, axiom, % 2.61/2.84 k!2664($i!val!64) = $i!val!64). % 2.61/2.84 tff(formula152, axiom, % 2.61/2.84 k!2664($i!val!32) = $i!val!32). % 2.61/2.84 tff(formula153, axiom, % 2.61/2.84 k!2664($i!val!58) = $i!val!58). % 2.61/2.84 tff(formula154, axiom, % 2.61/2.84 k!2664($i!val!62) = $i!val!62). % 2.61/2.84 tff(formula155, axiom, % 2.61/2.84 k!2664($i!val!57) = $i!val!57). % 2.61/2.84 tff(formula156, axiom, % 2.61/2.85 k!2664($i!val!46) = $i!val!46). % 2.61/2.85 tff(formula157, axiom, % 2.61/2.85 k!2664($i!val!59) = $i!val!59). % 2.61/2.85 tff(formula158, axiom, % 2.61/2.85 k!2664($i!val!16) = $i!val!16). % 2.61/2.85 tff(formula159, axiom, % 2.61/2.85 k!2664($i!val!51) = $i!val!51). % 2.61/2.85 tff(formula160, axiom, % 2.61/2.85 k!2664($i!val!1) = $i!val!1). % 2.61/2.85 tff(formula161, axiom, % 2.61/2.85 k!2664($i!val!60) = $i!val!60). % 2.61/2.85 tff(formula162, axiom, % 2.61/2.85 k!2664($i!val!54) = $i!val!54). % 2.61/2.85 tff(formula163, axiom, % 2.61/2.85 k!2664($i!val!17) = $i!val!17). % 2.61/2.85 tff(formula164, axiom, % 2.61/2.85 k!2664($i!val!53) = $i!val!53). % 2.61/2.85 tff(formula165, axiom, % 2.61/2.85 k!2664($i!val!14) = $i!val!14). % 2.61/2.85 tff(formula166, axiom, % 2.61/2.85 k!2664($i!val!13) = $i!val!13). % 2.61/2.85 tff(formula167, axiom, % 2.61/2.85 k!2664($i!val!45) = $i!val!45). % 2.61/2.85 tff(formula168, axiom, % 2.61/2.85 k!2664($i!val!9) = $i!val!9). % 2.61/2.85 tff(formula169, axiom, % 2.61/2.85 ![X0: $i] : ((~((($i!val!63 = X0)) | (($i!val!48 = X0)) | (($i!val!30 = X0)) | (($i!val!4 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!61 = X0)) | (($i!val!52 = X0)) | (($i!val!47 = X0)) | (($i!val!55 = X0)) | (($i!val!66 = X0)) | (($i!val!34 = X0)) | (($i!val!50 = X0)) | (($i!val!29 = X0)) | (($i!val!20 = X0)) | (($i!val!40 = X0)) | (($i!val!56 = X0)) | (($i!val!49 = X0)) | (($i!val!42 = X0)) | (($i!val!64 = X0)) | (($i!val!32 = X0)) | (($i!val!58 = X0)) | (($i!val!62 = X0)) | (($i!val!57 = X0)) | (($i!val!46 = X0)) | (($i!val!59 = X0)) | (($i!val!16 = X0)) | (($i!val!51 = X0)) | (($i!val!1 = X0)) | (($i!val!60 = X0)) | (($i!val!54 = X0)) | (($i!val!17 = X0)) | (($i!val!53 = X0)) | (($i!val!14 = X0)) | (($i!val!13 = X0)) | (($i!val!45 = X0)) | (($i!val!9 = X0)))) => (k!2664(X0) = $i!val!65))). % 2.61/2.85 % SZS output end Model % 2.61/2.85 % E exiting %------------------------------------------------------------------------------