%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN544-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 05:39:32 AM UTC 2025 % Result : Satisfiable 5.69s 5.88s % Output : Model 5.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN544-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n011.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 12:38:12 EDT 2025 % 0.12/0.33 % CPUTime : % 5.69/5.88 % SZS status Satisfiable % 5.69/5.88 % SZS output start Model % 5.69/5.88 tff(tptp_fun__i_val_13_type, type, ( % 5.69/5.88 tptp_fun__i_val_13: $i)). % 5.69/5.88 tff(a59_type, type, ( % 5.69/5.88 a59: $i)). % 5.69/5.88 tff(tptp_fun__i_val_21_type, type, ( % 5.69/5.88 tptp_fun__i_val_21: $i)). % 5.69/5.88 tff(a92_type, type, ( % 5.69/5.88 a92: $i)). % 5.69/5.88 tff(ssSkC13_type, type, ( % 5.69/5.88 ssSkC13: $o)). % 5.69/5.88 tff(tptp_fun__i_val_39_type, type, ( % 5.69/5.88 tptp_fun__i_val_39: $i)). % 5.69/5.88 tff(a58_type, type, ( % 5.69/5.88 a58: $i)). % 5.69/5.88 tff(tptp_fun__i_val_7_type, type, ( % 5.69/5.88 tptp_fun__i_val_7: $i)). % 5.69/5.88 tff(a44_type, type, ( % 5.69/5.88 a44: $i)). % 5.69/5.88 tff(c8_0_type, type, ( % 5.69/5.88 c8_0: $o)). % 5.69/5.88 tff(ssSkC21_type, type, ( % 5.69/5.88 ssSkC21: $o)). % 5.69/5.88 tff(tptp_fun__i_val_2_type, type, ( % 5.69/5.88 tptp_fun__i_val_2: $i)). % 5.69/5.88 tff(a122_type, type, ( % 5.69/5.88 a122: $i)). % 5.69/5.88 tff(tptp_fun__i_val_24_type, type, ( % 5.69/5.88 tptp_fun__i_val_24: $i)). % 5.69/5.88 tff(a28_type, type, ( % 5.69/5.88 a28: $i)). % 5.69/5.88 tff(tptp_fun__i_val_10_type, type, ( % 5.69/5.88 tptp_fun__i_val_10: $i)). % 5.69/5.88 tff(a27_type, type, ( % 5.69/5.88 a27: $i)). % 5.69/5.88 tff(tptp_fun__i_val_32_type, type, ( % 5.69/5.88 tptp_fun__i_val_32: $i)). % 5.69/5.88 tff(a101_type, type, ( % 5.69/5.88 a101: $i)). % 5.69/5.88 tff(tptp_fun__i_val_35_type, type, ( % 5.69/5.88 tptp_fun__i_val_35: $i)). % 5.69/5.88 tff(a109_type, type, ( % 5.69/5.88 a109: $i)). % 5.69/5.88 tff(tptp_fun__i_val_28_type, type, ( % 5.69/5.88 tptp_fun__i_val_28: $i)). % 5.69/5.88 tff(a40_type, type, ( % 5.69/5.88 a40: $i)). % 5.69/5.88 tff(tptp_fun__i_val_1_type, type, ( % 5.69/5.88 tptp_fun__i_val_1: $i)). % 5.69/5.88 tff(a8_type, type, ( % 5.69/5.88 a8: $i)). % 5.69/5.88 tff(tptp_fun__i_val_29_type, type, ( % 5.69/5.88 tptp_fun__i_val_29: $i)). % 5.69/5.88 tff(a36_type, type, ( % 5.69/5.88 a36: $i)). % 5.69/5.88 tff(c1_0_type, type, ( % 5.69/5.88 c1_0: $o)). % 5.69/5.88 tff(ssSkC23_type, type, ( % 5.69/5.88 ssSkC23: $o)). % 5.69/5.88 tff(tptp_fun__i_val_61_type, type, ( % 5.69/5.88 tptp_fun__i_val_61: $i)). % 5.69/5.88 tff(a46_type, type, ( % 5.69/5.88 a46: $i)). % 5.69/5.88 tff(tptp_fun__i_val_25_type, type, ( % 5.69/5.88 tptp_fun__i_val_25: $i)). % 5.69/5.88 tff(a26_type, type, ( % 5.69/5.88 a26: $i)). % 5.69/5.88 tff(tptp_fun__i_val_8_type, type, ( % 5.69/5.88 tptp_fun__i_val_8: $i)). % 5.69/5.88 tff(a4_type, type, ( % 5.69/5.88 a4: $i)). % 5.69/5.88 tff(tptp_fun__i_val_47_type, type, ( % 5.69/5.88 tptp_fun__i_val_47: $i)). % 5.69/5.88 tff(a96_type, type, ( % 5.69/5.88 a96: $i)). % 5.69/5.88 tff(a3_type, type, ( % 5.69/5.88 a3: $i)). % 5.69/5.88 tff(a29_type, type, ( % 5.69/5.88 a29: $i)). % 5.69/5.88 tff(tptp_fun__i_val_43_type, type, ( % 5.69/5.88 tptp_fun__i_val_43: $i)). % 5.69/5.88 tff(a134_type, type, ( % 5.69/5.88 a134: $i)). % 5.69/5.88 tff(tptp_fun__i_val_16_type, type, ( % 5.69/5.88 tptp_fun__i_val_16: $i)). % 5.69/5.88 tff(a48_type, type, ( % 5.69/5.88 a48: $i)). % 5.69/5.88 tff(tptp_fun__i_val_15_type, type, ( % 5.69/5.88 tptp_fun__i_val_15: $i)). % 5.69/5.88 tff(a75_type, type, ( % 5.69/5.88 a75: $i)). % 5.69/5.88 tff(ssSkC2_type, type, ( % 5.69/5.88 ssSkC2: $o)). % 5.69/5.88 tff(c4_0_type, type, ( % 5.69/5.88 c4_0: $o)). % 5.69/5.88 tff(tptp_fun__i_val_9_type, type, ( % 5.69/5.88 tptp_fun__i_val_9: $i)). % 5.69/5.88 tff(a32_type, type, ( % 5.69/5.88 a32: $i)). % 5.69/5.88 tff(tptp_fun__i_val_14_type, type, ( % 5.69/5.88 tptp_fun__i_val_14: $i)). % 5.69/5.88 tff(a51_type, type, ( % 5.69/5.88 a51: $i)). % 5.69/5.88 tff(ssSkC9_type, type, ( % 5.69/5.88 ssSkC9: $o)). % 5.69/5.88 tff(ssSkC17_type, type, ( % 5.69/5.88 ssSkC17: $o)). % 5.69/5.88 tff(ssSkC12_type, type, ( % 5.69/5.88 ssSkC12: $o)). % 5.69/5.88 tff(tptp_fun__i_val_34_type, type, ( % 5.69/5.88 tptp_fun__i_val_34: $i)). % 5.69/5.88 tff(a34_type, type, ( % 5.69/5.88 a34: $i)). % 5.69/5.88 tff(a49_type, type, ( % 5.69/5.88 a49: $i)). % 5.69/5.88 tff(tptp_fun__i_val_53_type, type, ( % 5.69/5.88 tptp_fun__i_val_53: $i)). % 5.69/5.88 tff(a61_type, type, ( % 5.69/5.88 a61: $i)). % 5.69/5.88 tff(tptp_fun__i_val_33_type, type, ( % 5.69/5.88 tptp_fun__i_val_33: $i)). % 5.69/5.88 tff(a89_type, type, ( % 5.69/5.88 a89: $i)). % 5.69/5.88 tff(tptp_fun__i_val_19_type, type, ( % 5.69/5.88 tptp_fun__i_val_19: $i)). % 5.69/5.88 tff(a60_type, type, ( % 5.69/5.88 a60: $i)). % 5.69/5.88 tff(a137_type, type, ( % 5.69/5.88 a137: $i)). % 5.69/5.88 tff(a6_type, type, ( % 5.69/5.88 a6: $i)). % 5.69/5.88 tff(tptp_fun__i_val_0_type, type, ( % 5.69/5.88 tptp_fun__i_val_0: $i)). % 5.69/5.88 tff(a7_type, type, ( % 5.69/5.88 a7: $i)). % 5.69/5.88 tff(ndr1_0_type, type, ( % 5.69/5.88 ndr1_0: $o)). % 5.69/5.88 tff(c3_0_type, type, ( % 5.69/5.88 c3_0: $o)). % 5.69/5.88 tff(tptp_fun__i_val_27_type, type, ( % 5.69/5.88 tptp_fun__i_val_27: $i)). % 5.69/5.88 tff(a41_type, type, ( % 5.69/5.88 a41: $i)). % 5.69/5.88 tff(ssSkC7_type, type, ( % 5.69/5.88 ssSkC7: $o)). % 5.69/5.88 tff(tptp_fun__i_val_6_type, type, ( % 5.69/5.88 tptp_fun__i_val_6: $i)). % 5.69/5.88 tff(a65_type, type, ( % 5.69/5.88 a65: $i)). % 5.69/5.88 tff(tptp_fun__i_val_58_type, type, ( % 5.69/5.88 tptp_fun__i_val_58: $i)). % 5.69/5.88 tff(a100_type, type, ( % 5.69/5.88 a100: $i)). % 5.69/5.88 tff(a69_type, type, ( % 5.69/5.88 a69: $i)). % 5.69/5.88 tff(a71_type, type, ( % 5.69/5.88 a71: $i)). % 5.69/5.88 tff(tptp_fun__i_val_31_type, type, ( % 5.69/5.88 tptp_fun__i_val_31: $i)). % 5.69/5.88 tff(a72_type, type, ( % 5.69/5.88 a72: $i)). % 5.69/5.88 tff(ssSkC8_type, type, ( % 5.69/5.88 ssSkC8: $o)). % 5.69/5.88 tff(ssSkC6_type, type, ( % 5.69/5.88 ssSkC6: $o)). % 5.69/5.88 tff(tptp_fun__i_val_18_type, type, ( % 5.69/5.88 tptp_fun__i_val_18: $i)). % 5.69/5.88 tff(a142_type, type, ( % 5.69/5.88 a142: $i)). % 5.69/5.88 tff(tptp_fun__i_val_20_type, type, ( % 5.69/5.88 tptp_fun__i_val_20: $i)). % 5.69/5.88 tff(a113_type, type, ( % 5.69/5.88 a113: $i)). % 5.69/5.88 tff(a64_type, type, ( % 5.69/5.88 a64: $i)). % 5.69/5.88 tff(a66_type, type, ( % 5.69/5.88 a66: $i)). % 5.69/5.88 tff(a132_type, type, ( % 5.69/5.88 a132: $i)). % 5.69/5.88 tff(tptp_fun__i_val_57_type, type, ( % 5.69/5.88 tptp_fun__i_val_57: $i)). % 5.69/5.88 tff(a13_type, type, ( % 5.69/5.88 a13: $i)). % 5.69/5.88 tff(tptp_fun__i_val_51_type, type, ( % 5.69/5.88 tptp_fun__i_val_51: $i)). % 5.69/5.88 tff(a10_type, type, ( % 5.69/5.88 a10: $i)). % 5.69/5.88 tff(tptp_fun__i_val_12_type, type, ( % 5.69/5.88 tptp_fun__i_val_12: $i)). % 5.69/5.88 tff(a85_type, type, ( % 5.69/5.88 a85: $i)). % 5.69/5.88 tff(a35_type, type, ( % 5.69/5.88 a35: $i)). % 5.69/5.88 tff(a121_type, type, ( % 5.69/5.88 a121: $i)). % 5.69/5.88 tff(tptp_fun__i_val_59_type, type, ( % 5.69/5.88 tptp_fun__i_val_59: $i)). % 5.69/5.88 tff(a99_type, type, ( % 5.69/5.88 a99: $i)). % 5.69/5.88 tff(c5_0_type, type, ( % 5.69/5.88 c5_0: $o)). % 5.69/5.88 tff(tptp_fun__i_val_22_type, type, ( % 5.69/5.88 tptp_fun__i_val_22: $i)). % 5.69/5.88 tff(a84_type, type, ( % 5.69/5.88 a84: $i)). % 5.69/5.88 tff(a87_type, type, ( % 5.69/5.88 a87: $i)). % 5.69/5.88 tff(a62_type, type, ( % 5.69/5.88 a62: $i)). % 5.69/5.88 tff(a136_type, type, ( % 5.69/5.88 a136: $i)). % 5.69/5.88 tff(tptp_fun__i_val_55_type, type, ( % 5.69/5.88 tptp_fun__i_val_55: $i)). % 5.69/5.88 tff(a56_type, type, ( % 5.69/5.88 a56: $i)). % 5.69/5.88 tff(a33_type, type, ( % 5.69/5.88 a33: $i)). % 5.69/5.88 tff(tptp_fun__i_val_3_type, type, ( % 5.69/5.88 tptp_fun__i_val_3: $i)). % 5.69/5.88 tff(a117_type, type, ( % 5.69/5.88 a117: $i)). % 5.69/5.88 tff(ssSkC4_type, type, ( % 5.69/5.88 ssSkC4: $o)). % 5.69/5.88 tff(ssSkC15_type, type, ( % 5.69/5.88 ssSkC15: $o)). % 5.69/5.88 tff(c7_0_type, type, ( % 5.69/5.88 c7_0: $o)). % 5.69/5.88 tff(tptp_fun__i_val_4_type, type, ( % 5.69/5.88 tptp_fun__i_val_4: $i)). % 5.69/5.88 tff(a47_type, type, ( % 5.69/5.88 a47: $i)). % 5.69/5.88 tff(a18_type, type, ( % 5.69/5.88 a18: $i)). % 5.69/5.88 tff(tptp_fun__i_val_49_type, type, ( % 5.69/5.88 tptp_fun__i_val_49: $i)). % 5.69/5.88 tff(a43_type, type, ( % 5.69/5.88 a43: $i)). % 5.69/5.88 tff(a1_type, type, ( % 5.69/5.88 a1: $i)). % 5.69/5.88 tff(ssSkC20_type, type, ( % 5.69/5.88 ssSkC20: $o)). % 5.69/5.88 tff(ssSkC1_type, type, ( % 5.69/5.88 ssSkC1: $o)). % 5.69/5.88 tff(ssSkC19_type, type, ( % 5.69/5.88 ssSkC19: $o)). % 5.69/5.88 tff(tptp_fun__i_val_11_type, type, ( % 5.69/5.88 tptp_fun__i_val_11: $i)). % 5.69/5.88 tff(a123_type, type, ( % 5.69/5.88 a123: $i)). % 5.69/5.88 tff(a68_type, type, ( % 5.69/5.88 a68: $i)). % 5.69/5.88 tff(tptp_fun__i_val_56_type, type, ( % 5.69/5.88 tptp_fun__i_val_56: $i)). % 5.69/5.88 tff(a88_type, type, ( % 5.69/5.88 a88: $i)). % 5.69/5.88 tff(ssSkC22_type, type, ( % 5.69/5.88 ssSkC22: $o)). % 5.69/5.88 tff(tptp_fun__i_val_30_type, type, ( % 5.69/5.88 tptp_fun__i_val_30: $i)). % 5.69/5.88 tff(a94_type, type, ( % 5.69/5.88 a94: $i)). % 5.69/5.88 tff(a42_type, type, ( % 5.69/5.88 a42: $i)). % 5.69/5.88 tff(a52_type, type, ( % 5.69/5.88 a52: $i)). % 5.69/5.88 tff(a103_type, type, ( % 5.69/5.88 a103: $i)). % 5.69/5.88 tff(tptp_fun__i_val_48_type, type, ( % 5.69/5.88 tptp_fun__i_val_48: $i)). % 5.69/5.88 tff(a97_type, type, ( % 5.69/5.88 a97: $i)). % 5.69/5.88 tff(tptp_fun__i_val_45_type, type, ( % 5.69/5.88 tptp_fun__i_val_45: $i)). % 5.69/5.88 tff(a108_type, type, ( % 5.69/5.88 a108: $i)). % 5.69/5.88 tff(a90_type, type, ( % 5.69/5.88 a90: $i)). % 5.69/5.88 tff(ssSkC14_type, type, ( % 5.69/5.88 ssSkC14: $o)). % 5.69/5.88 tff(a57_type, type, ( % 5.69/5.88 a57: $i)). % 5.69/5.88 tff(tptp_fun__i_val_42_type, type, ( % 5.69/5.88 tptp_fun__i_val_42: $i)). % 5.69/5.88 tff(a70_type, type, ( % 5.69/5.88 a70: $i)). % 5.69/5.88 tff(tptp_fun__i_val_50_type, type, ( % 5.69/5.88 tptp_fun__i_val_50: $i)). % 5.69/5.88 tff(a135_type, type, ( % 5.69/5.88 a135: $i)). % 5.69/5.88 tff(a145_type, type, ( % 5.69/5.88 a145: $i)). % 5.69/5.88 tff(tptp_fun__i_val_26_type, type, ( % 5.69/5.88 tptp_fun__i_val_26: $i)). % 5.69/5.88 tff(a86_type, type, ( % 5.69/5.88 a86: $i)). % 5.69/5.88 tff(a114_type, type, ( % 5.69/5.88 a114: $i)). % 5.69/5.88 tff(ssSkC3_type, type, ( % 5.69/5.88 ssSkC3: $o)). % 5.69/5.88 tff(c2_0_type, type, ( % 5.69/5.88 c2_0: $o)). % 5.69/5.88 tff(c6_0_type, type, ( % 5.69/5.88 c6_0: $o)). % 5.69/5.88 tff(ssSkC11_type, type, ( % 5.69/5.88 ssSkC11: $o)). % 5.69/5.88 tff(tptp_fun__i_val_54_type, type, ( % 5.69/5.88 tptp_fun__i_val_54: $i)). % 5.69/5.88 tff(a102_type, type, ( % 5.69/5.88 a102: $i)). % 5.69/5.88 tff(a17_type, type, ( % 5.69/5.88 a17: $i)). % 5.69/5.88 tff(tptp_fun__i_val_44_type, type, ( % 5.69/5.88 tptp_fun__i_val_44: $i)). % 5.69/5.88 tff(a104_type, type, ( % 5.69/5.88 a104: $i)). % 5.69/5.88 tff(ssSkC5_type, type, ( % 5.69/5.88 ssSkC5: $o)). % 5.69/5.88 tff(ssSkC18_type, type, ( % 5.69/5.88 ssSkC18: $o)). % 5.69/5.88 tff(tptp_fun__i_val_17_type, type, ( % 5.69/5.88 tptp_fun__i_val_17: $i)). % 5.69/5.88 tff(a39_type, type, ( % 5.69/5.88 a39: $i)). % 5.69/5.88 tff(ssSkC0_type, type, ( % 5.69/5.88 ssSkC0: $o)). % 5.69/5.88 tff(a5_type, type, ( % 5.69/5.88 a5: $i)). % 5.69/5.88 tff(ssSkC16_type, type, ( % 5.69/5.88 ssSkC16: $o)). % 5.69/5.88 tff(ssSkC10_type, type, ( % 5.69/5.88 ssSkC10: $o)). % 5.69/5.88 tff(tptp_fun__i_val_5_type, type, ( % 5.69/5.88 tptp_fun__i_val_5: $i)). % 5.69/5.88 tff(a141_type, type, ( % 5.69/5.88 a141: $i)). % 5.69/5.88 tff(a120_type, type, ( % 5.69/5.88 a120: $i)). % 5.69/5.88 tff(tptp_fun__i_val_23_type, type, ( % 5.69/5.88 tptp_fun__i_val_23: $i)). % 5.69/5.88 tff(a45_type, type, ( % 5.69/5.88 a45: $i)). % 5.69/5.88 tff(tptp_fun__i_val_38_type, type, ( % 5.69/5.88 tptp_fun__i_val_38: $i)). % 5.69/5.88 tff(a63_type, type, ( % 5.69/5.88 a63: $i)). % 5.69/5.88 tff(tptp_fun__i_val_40_type, type, ( % 5.69/5.88 tptp_fun__i_val_40: $i)). % 5.69/5.88 tff(a115_type, type, ( % 5.69/5.88 a115: $i)). % 5.69/5.88 tff(a2_type, type, ( % 5.69/5.88 a2: $i)). % 5.69/5.88 tff(tptp_fun__i_val_60_type, type, ( % 5.69/5.88 tptp_fun__i_val_60: $i)). % 5.69/5.88 tff(a95_type, type, ( % 5.69/5.88 a95: $i)). % 5.69/5.88 tff(tptp_fun__i_val_37_type, type, ( % 5.69/5.88 tptp_fun__i_val_37: $i)). % 5.69/5.88 tff(a67_type, type, ( % 5.69/5.88 a67: $i)). % 5.69/5.88 tff(a127_type, type, ( % 5.69/5.88 a127: $i)). % 5.69/5.88 tff(a22_type, type, ( % 5.69/5.88 a22: $i)). % 5.69/5.88 tff(tptp_fun__i_val_36_type, type, ( % 5.69/5.88 tptp_fun__i_val_36: $i)). % 5.69/5.88 tff(a128_type, type, ( % 5.69/5.88 a128: $i)). % 5.69/5.88 tff(tptp_fun__i_val_41_type, type, ( % 5.69/5.88 tptp_fun__i_val_41: $i)). % 5.69/5.88 tff(a93_type, type, ( % 5.69/5.88 a93: $i)). % 5.69/5.88 tff(tptp_fun__i_val_46_type, type, ( % 5.69/5.88 tptp_fun__i_val_46: $i)). % 5.69/5.88 tff(a23_type, type, ( % 5.69/5.88 a23: $i)). % 5.69/5.88 tff(tptp_fun__i_val_52_type, type, ( % 5.69/5.88 tptp_fun__i_val_52: $i)). % 5.69/5.88 tff(a116_type, type, ( % 5.69/5.88 a116: $i)). % 5.69/5.88 tff(ssSkP5_type, type, ( % 5.69/5.88 ssSkP5: $i > $o)). % 5.69/5.88 tff(k!3800_type, type, ( % 5.69/5.88 k!3800: $i > $i)). % 5.69/5.88 tff(ndr1_1_type, type, ( % 5.69/5.88 ndr1_1: $i > $o)). % 5.69/5.88 tff(k!3801_type, type, ( % 5.69/5.88 k!3801: $i > $i)). % 5.69/5.88 tff(c7_2_type, type, ( % 5.69/5.88 c7_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(ssSkP9_type, type, ( % 5.69/5.88 ssSkP9: $i > $o)). % 5.69/5.88 tff(ssSkP8_type, type, ( % 5.69/5.88 ssSkP8: $i > $o)). % 5.69/5.88 tff(c5_1_type, type, ( % 5.69/5.88 c5_1: $i > $o)). % 5.69/5.88 tff(ssSkP0_type, type, ( % 5.69/5.88 ssSkP0: $i > $o)). % 5.69/5.88 tff(c2_1_type, type, ( % 5.69/5.88 c2_1: $i > $o)). % 5.69/5.88 tff(c3_1_type, type, ( % 5.69/5.88 c3_1: $i > $o)). % 5.69/5.88 tff(c1_2_type, type, ( % 5.69/5.88 c1_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(c4_1_type, type, ( % 5.69/5.88 c4_1: $i > $o)). % 5.69/5.88 tff(ssSkP1_type, type, ( % 5.69/5.88 ssSkP1: $i > $o)). % 5.69/5.88 tff(c1_1_type, type, ( % 5.69/5.88 c1_1: $i > $o)). % 5.69/5.88 tff(c3_2_type, type, ( % 5.69/5.88 c3_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(ssSkP4_type, type, ( % 5.69/5.88 ssSkP4: $i > $o)). % 5.69/5.88 tff(c4_2_type, type, ( % 5.69/5.88 c4_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(c7_1_type, type, ( % 5.69/5.88 c7_1: $i > $o)). % 5.69/5.88 tff(ssSkP2_type, type, ( % 5.69/5.88 ssSkP2: $i > $o)). % 5.69/5.88 tff(c5_2_type, type, ( % 5.69/5.88 c5_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(c8_2_type, type, ( % 5.69/5.88 c8_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(ssSkP6_type, type, ( % 5.69/5.88 ssSkP6: $i > $o)). % 5.69/5.88 tff(c8_1_type, type, ( % 5.69/5.88 c8_1: $i > $o)). % 5.69/5.88 tff(c6_1_type, type, ( % 5.69/5.88 c6_1: $i > $o)). % 5.69/5.88 tff(c2_2_type, type, ( % 5.69/5.88 c2_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(c6_2_type, type, ( % 5.69/5.88 c6_2: ( $i * $i ) > $o)). % 5.69/5.88 tff(ssSkP3_type, type, ( % 5.69/5.88 ssSkP3: $i > $o)). % 5.69/5.88 tff(ssSkP7_type, type, ( % 5.69/5.88 ssSkP7: $i > $o)). % 5.69/5.88 tff(formula1, axiom, % 5.69/5.88 a59 = $i!val!13). % 5.69/5.88 tff(formula2, axiom, % 5.69/5.88 a92 = $i!val!21). % 5.69/5.88 tff(formula3, axiom, % 5.69/5.88 ssSkC13 <=> $true). % 5.69/5.88 tff(formula4, axiom, % 5.69/5.88 a58 = $i!val!39). % 5.69/5.88 tff(formula5, axiom, % 5.69/5.88 a44 = $i!val!7). % 5.69/5.88 tff(formula6, axiom, % 5.69/5.88 c8_0 <=> $false). % 5.69/5.88 tff(formula7, axiom, % 5.69/5.88 ssSkC21 <=> $false). % 5.69/5.88 tff(formula8, axiom, % 5.69/5.88 a122 = $i!val!2). % 5.69/5.88 tff(formula9, axiom, % 5.69/5.88 a28 = $i!val!24). % 5.69/5.88 tff(formula10, axiom, % 5.69/5.88 a27 = $i!val!10). % 5.69/5.88 tff(formula11, axiom, % 5.69/5.88 a101 = $i!val!32). % 5.69/5.88 tff(formula12, axiom, % 5.69/5.88 a109 = $i!val!35). % 5.69/5.88 tff(formula13, axiom, % 5.69/5.88 a40 = $i!val!28). % 5.69/5.88 tff(formula14, axiom, % 5.69/5.88 a8 = $i!val!1). % 5.69/5.88 tff(formula15, axiom, % 5.69/5.88 a36 = $i!val!29). % 5.69/5.88 tff(formula16, axiom, % 5.69/5.88 c1_0 <=> $false). % 5.69/5.88 tff(formula17, axiom, % 5.69/5.88 ssSkC23 <=> $true). % 5.69/5.88 tff(formula18, axiom, % 5.69/5.88 a46 = $i!val!61). % 5.69/5.88 tff(formula19, axiom, % 5.69/5.88 a26 = $i!val!25). % 5.69/5.88 tff(formula20, axiom, % 5.69/5.88 a4 = $i!val!8). % 5.69/5.88 tff(formula21, axiom, % 5.69/5.88 a96 = $i!val!47). % 5.69/5.88 tff(formula22, axiom, % 5.69/5.88 a3 = $i!val!1). % 5.69/5.88 tff(formula23, axiom, % 5.69/5.88 a29 = $i!val!32). % 5.69/5.88 tff(formula24, axiom, % 5.69/5.88 a134 = $i!val!43). % 5.69/5.88 tff(formula25, axiom, % 5.69/5.88 a48 = $i!val!16). % 5.69/5.88 tff(formula26, axiom, % 5.69/5.88 a75 = $i!val!15). % 5.69/5.88 tff(formula27, axiom, % 5.69/5.88 ssSkC2 <=> $false). % 5.69/5.88 tff(formula28, axiom, % 5.69/5.88 c4_0 <=> $true). % 5.69/5.88 tff(formula29, axiom, % 5.69/5.88 a32 = $i!val!9). % 5.69/5.88 tff(formula30, axiom, % 5.69/5.88 a51 = $i!val!14). % 5.69/5.88 tff(formula31, axiom, % 5.69/5.88 ssSkC9 <=> $true). % 5.69/5.88 tff(formula32, axiom, % 5.69/5.88 ssSkC17 <=> $true). % 5.69/5.88 tff(formula33, axiom, % 5.69/5.88 ssSkC12 <=> $false). % 5.69/5.88 tff(formula34, axiom, % 5.69/5.88 a34 = $i!val!34). % 5.69/5.88 tff(formula35, axiom, % 5.69/5.88 a49 = $i!val!15). % 5.69/5.88 tff(formula36, axiom, % 5.69/5.88 a61 = $i!val!53). % 5.69/5.88 tff(formula37, axiom, % 5.69/5.88 a89 = $i!val!33). % 5.69/5.88 tff(formula38, axiom, % 5.69/5.88 a60 = $i!val!19). % 5.69/5.88 tff(formula39, axiom, % 5.69/5.88 a137 = $i!val!1). % 5.69/5.88 tff(formula40, axiom, % 5.69/5.88 a6 = $i!val!15). % 5.69/5.88 tff(formula41, axiom, % 5.69/5.88 a7 = $i!val!0). % 5.69/5.88 tff(formula42, axiom, % 5.69/5.88 ndr1_0 <=> $true). % 5.69/5.88 tff(formula43, axiom, % 5.69/5.88 c3_0 <=> $false). % 5.69/5.88 tff(formula44, axiom, % 5.69/5.88 a41 = $i!val!27). % 5.69/5.88 tff(formula45, axiom, % 5.69/5.88 ssSkC7 <=> $true). % 5.69/5.88 tff(formula46, axiom, % 5.69/5.88 a65 = $i!val!6). % 5.69/5.88 tff(formula47, axiom, % 5.69/5.88 a100 = $i!val!58). % 5.69/5.88 tff(formula48, axiom, % 5.69/5.88 a69 = $i!val!32). % 5.69/5.88 tff(formula49, axiom, % 5.69/5.88 a71 = $i!val!32). % 5.69/5.88 tff(formula50, axiom, % 5.69/5.88 a72 = $i!val!31). % 5.69/5.88 tff(formula51, axiom, % 5.69/5.88 ssSkC8 <=> $true). % 5.69/5.88 tff(formula52, axiom, % 5.69/5.88 ssSkC6 <=> $true). % 5.69/5.88 tff(formula53, axiom, % 5.69/5.88 a142 = $i!val!18). % 5.69/5.88 tff(formula54, axiom, % 5.69/5.88 a113 = $i!val!20). % 5.69/5.88 tff(formula55, axiom, % 5.69/5.88 a64 = $i!val!0). % 5.69/5.88 tff(formula56, axiom, % 5.69/5.88 a66 = $i!val!31). % 5.69/5.88 tff(formula57, axiom, % 5.69/5.88 a132 = $i!val!0). % 5.69/5.88 tff(formula58, axiom, % 5.69/5.88 a13 = $i!val!57). % 5.69/5.88 tff(formula59, axiom, % 5.69/5.88 a10 = $i!val!51). % 5.69/5.88 tff(formula60, axiom, % 5.69/5.88 a85 = $i!val!12). % 5.69/5.88 tff(formula61, axiom, % 5.69/5.88 a35 = $i!val!8). % 5.69/5.88 tff(formula62, axiom, % 5.69/5.88 a121 = $i!val!28). % 5.69/5.88 tff(formula63, axiom, % 5.69/5.88 a99 = $i!val!59). % 5.69/5.88 tff(formula64, axiom, % 5.69/5.88 c5_0 <=> $false). % 5.69/5.88 tff(formula65, axiom, % 5.69/5.88 a84 = $i!val!22). % 5.69/5.88 tff(formula66, axiom, % 5.69/5.88 a87 = $i!val!31). % 5.69/5.88 tff(formula67, axiom, % 5.69/5.88 a62 = $i!val!19). % 5.69/5.88 tff(formula68, axiom, % 5.69/5.88 a136 = $i!val!0). % 5.69/5.88 tff(formula69, axiom, % 5.69/5.88 a56 = $i!val!55). % 5.69/5.88 tff(formula70, axiom, % 5.69/5.88 a33 = $i!val!13). % 5.69/5.88 tff(formula71, axiom, % 5.69/5.88 a117 = $i!val!3). % 5.69/5.88 tff(formula72, axiom, % 5.69/5.88 ssSkC4 <=> $true). % 5.69/5.88 tff(formula73, axiom, % 5.69/5.88 ssSkC15 <=> $true). % 5.69/5.88 tff(formula74, axiom, % 5.69/5.88 c7_0 <=> $true). % 5.69/5.88 tff(formula75, axiom, % 5.69/5.88 a47 = $i!val!4). % 5.69/5.88 tff(formula76, axiom, % 5.69/5.88 a18 = $i!val!1). % 5.69/5.88 tff(formula77, axiom, % 5.69/5.88 a43 = $i!val!49). % 5.69/5.88 tff(formula78, axiom, % 5.69/5.88 a1 = $i!val!28). % 5.69/5.88 tff(formula79, axiom, % 5.69/5.88 ssSkC20 <=> $false). % 5.69/5.88 tff(formula80, axiom, % 5.69/5.88 ssSkC1 <=> $true). % 5.69/5.88 tff(formula81, axiom, % 5.69/5.88 ssSkC19 <=> $true). % 5.69/5.88 tff(formula82, axiom, % 5.69/5.88 a123 = $i!val!11). % 5.69/5.88 tff(formula83, axiom, % 5.69/5.88 a68 = $i!val!15). % 5.69/5.88 tff(formula84, axiom, % 5.69/5.88 a88 = $i!val!56). % 5.69/5.88 tff(formula85, axiom, % 5.69/5.88 ssSkC22 <=> $false). % 5.69/5.88 tff(formula86, axiom, % 5.69/5.88 a94 = $i!val!30). % 5.69/5.88 tff(formula87, axiom, % 5.69/5.88 a42 = $i!val!0). % 5.69/5.88 tff(formula88, axiom, % 5.69/5.88 a52 = $i!val!8). % 5.69/5.88 tff(formula89, axiom, % 5.69/5.88 a103 = $i!val!19). % 5.69/5.88 tff(formula90, axiom, % 5.69/5.88 a97 = $i!val!48). % 5.69/5.88 tff(formula91, axiom, % 5.69/5.88 a108 = $i!val!45). % 5.69/5.88 tff(formula92, axiom, % 5.69/5.88 a90 = $i!val!8). % 5.69/5.88 tff(formula93, axiom, % 5.69/5.88 ssSkC14 <=> $false). % 5.69/5.88 tff(formula94, axiom, % 5.69/5.88 a57 = $i!val!32). % 5.69/5.88 tff(formula95, axiom, % 5.69/5.88 a70 = $i!val!42). % 5.69/5.88 tff(formula96, axiom, % 5.69/5.88 a135 = $i!val!50). % 5.69/5.88 tff(formula97, axiom, % 5.69/5.88 a145 = $i!val!32). % 5.69/5.88 tff(formula98, axiom, % 5.69/5.88 a86 = $i!val!26). % 5.69/5.88 tff(formula99, axiom, % 5.69/5.88 a114 = $i!val!15). % 5.69/5.88 tff(formula100, axiom, % 5.69/5.88 ssSkC3 <=> $true). % 5.69/5.88 tff(formula101, axiom, % 5.69/5.88 c2_0 <=> $false). % 5.69/5.88 tff(formula102, axiom, % 5.69/5.88 c6_0 <=> $true). % 5.69/5.88 tff(formula103, axiom, % 5.69/5.88 ssSkC11 <=> $false). % 5.69/5.88 tff(formula104, axiom, % 5.69/5.88 a102 = $i!val!54). % 5.69/5.88 tff(formula105, axiom, % 5.69/5.88 a17 = $i!val!8). % 5.69/5.88 tff(formula106, axiom, % 5.69/5.88 a104 = $i!val!44). % 5.69/5.88 tff(formula107, axiom, % 5.69/5.88 ssSkC5 <=> $false). % 5.69/5.88 tff(formula108, axiom, % 5.69/5.88 ssSkC18 <=> $false). % 5.69/5.88 tff(formula109, axiom, % 5.69/5.88 a39 = $i!val!17). % 5.69/5.88 tff(formula110, axiom, % 5.69/5.88 ssSkC0 <=> $false). % 5.69/5.88 tff(formula111, axiom, % 5.69/5.88 a5 = $i!val!0). % 5.69/5.88 tff(formula112, axiom, % 5.69/5.88 ssSkC16 <=> $true). % 5.69/5.88 tff(formula113, axiom, % 5.69/5.88 ssSkC10 <=> $true). % 5.69/5.88 tff(formula114, axiom, % 5.69/5.88 a141 = $i!val!5). % 5.69/5.88 tff(formula115, axiom, % 5.69/5.88 a120 = $i!val!19). % 5.69/5.88 tff(formula116, axiom, % 5.69/5.88 a45 = $i!val!23). % 5.69/5.88 tff(formula117, axiom, % 5.69/5.88 a63 = $i!val!38). % 5.69/5.88 tff(formula118, axiom, % 5.69/5.88 a115 = $i!val!40). % 5.69/5.88 tff(formula119, axiom, % 5.69/5.88 a2 = $i!val!32). % 5.69/5.88 tff(formula120, axiom, % 5.69/5.88 a95 = $i!val!60). % 5.69/5.88 tff(formula121, axiom, % 5.69/5.88 a67 = $i!val!37). % 5.69/5.88 tff(formula122, axiom, % 5.69/5.88 a127 = $i!val!19). % 5.69/5.88 tff(formula123, axiom, % 5.69/5.88 a22 = $i!val!32). % 5.69/5.88 tff(formula124, axiom, % 5.69/5.88 a128 = $i!val!36). % 5.69/5.88 tff(formula125, axiom, % 5.69/5.88 a93 = $i!val!41). % 5.69/5.88 tff(formula126, axiom, % 5.69/5.88 a23 = $i!val!46). % 5.69/5.88 tff(formula127, axiom, % 5.69/5.88 a116 = $i!val!52). % 5.69/5.88 tff(formula128, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP5(X0) <=> $true)). % 5.69/5.88 tff(formula129, axiom, % 5.69/5.88 ![X0: $i] : (ndr1_1(X0) <=> ((k!3800(X0) = $i!val!0) | (k!3800(X0) = $i!val!4) | (k!3800(X0) = $i!val!2) | (k!3800(X0) = $i!val!17) | (k!3800(X0) = $i!val!10) | (k!3800(X0) = $i!val!12) | (k!3800(X0) = $i!val!3) | (k!3800(X0) = $i!val!20)))). % 5.69/5.88 tff(formula130, axiom, % 5.69/5.88 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!18)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!52)) | ((k!3800(X1) = $i!val!12) & (k!3801(X0) = $i!val!26)) | ((k!3800(X1) = $i!val!4) & (k!3801(X0) = $i!val!15)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!48)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!56)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!25)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!29)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!49)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!27)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!33)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!22)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!31)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!23)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!15)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!51)) | ((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!35)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!55)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!35))))). % 5.69/5.88 tff(formula131, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP9(X0) <=> $true)). % 5.69/5.88 tff(formula132, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP8(X0) <=> $true)). % 5.69/5.88 tff(formula133, axiom, % 5.69/5.88 ![X0: $i] : (c5_1(X0) <=> ((k!3800(X0) = $i!val!0) | (k!3800(X0) = $i!val!14)))). % 5.69/5.88 tff(formula134, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 5.69/5.88 tff(formula135, axiom, % 5.69/5.88 ![X0: $i] : (c2_1(X0) <=> $false)). % 5.69/5.88 tff(formula136, axiom, % 5.69/5.88 ![X0: $i] : (c3_1(X0) <=> (k!3800(X0) = $i!val!13))). % 5.69/5.88 tff(formula137, axiom, % 5.69/5.88 k!3800($i!val!20) = $i!val!20). % 5.69/5.88 tff(formula138, axiom, % 5.69/5.88 k!3800($i!val!3) = $i!val!3). % 5.69/5.88 tff(formula139, axiom, % 5.69/5.88 k!3800($i!val!34) = $i!val!34). % 5.69/5.88 tff(formula140, axiom, % 5.69/5.88 k!3800($i!val!4) = $i!val!4). % 5.69/5.88 tff(formula141, axiom, % 5.69/5.88 k!3800($i!val!47) = $i!val!47). % 5.69/5.88 tff(formula142, axiom, % 5.69/5.88 k!3800($i!val!12) = $i!val!12). % 5.69/5.88 tff(formula143, axiom, % 5.69/5.88 k!3800($i!val!7) = $i!val!7). % 5.69/5.88 tff(formula144, axiom, % 5.69/5.88 k!3800($i!val!44) = $i!val!44). % 5.69/5.88 tff(formula145, axiom, % 5.69/5.88 k!3800($i!val!2) = $i!val!2). % 5.69/5.88 tff(formula146, axiom, % 5.69/5.88 k!3800($i!val!41) = $i!val!41). % 5.69/5.88 tff(formula147, axiom, % 5.69/5.88 k!3800($i!val!8) = $i!val!8). % 5.69/5.88 tff(formula148, axiom, % 5.69/5.88 k!3800($i!val!43) = $i!val!43). % 5.69/5.88 tff(formula149, axiom, % 5.69/5.88 k!3800($i!val!10) = $i!val!10). % 5.69/5.88 tff(formula150, axiom, % 5.69/5.88 k!3800($i!val!17) = $i!val!17). % 5.69/5.88 tff(formula151, axiom, % 5.69/5.88 k!3800($i!val!6) = $i!val!6). % 5.69/5.88 tff(formula152, axiom, % 5.69/5.88 k!3800($i!val!0) = $i!val!0). % 5.69/5.88 tff(formula153, axiom, % 5.69/5.88 k!3800($i!val!5) = $i!val!5). % 5.69/5.88 tff(formula154, axiom, % 5.69/5.88 k!3800($i!val!14) = $i!val!14). % 5.69/5.88 tff(formula155, axiom, % 5.69/5.88 k!3800($i!val!9) = $i!val!9). % 5.69/5.88 tff(formula156, axiom, % 5.69/5.88 k!3800($i!val!19) = $i!val!19). % 5.69/5.88 tff(formula157, axiom, % 5.69/5.88 ![X0: $i] : ((~((($i!val!20 = X0)) | (($i!val!3 = X0)) | (($i!val!34 = X0)) | (($i!val!4 = X0)) | (($i!val!47 = X0)) | (($i!val!12 = X0)) | (($i!val!7 = X0)) | (($i!val!44 = X0)) | (($i!val!2 = X0)) | (($i!val!41 = X0)) | (($i!val!8 = X0)) | (($i!val!43 = X0)) | (($i!val!10 = X0)) | (($i!val!17 = X0)) | (($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!5 = X0)) | (($i!val!14 = X0)) | (($i!val!9 = X0)) | (($i!val!19 = X0)))) => (k!3800(X0) = $i!val!13))). % 5.69/5.88 tff(formula158, axiom, % 5.69/5.88 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!1)) | ((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!35)) | ((k!3800(X1) = $i!val!20) & (k!3801(X0) = $i!val!31)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!35))))). % 5.69/5.88 tff(formula159, axiom, % 5.69/5.88 ![X0: $i] : (c4_1(X0) <=> ((k!3800(X0) = $i!val!10) | (k!3800(X0) = $i!val!3)))). % 5.69/5.88 tff(formula160, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 5.69/5.88 tff(formula161, axiom, % 5.69/5.88 ![X0: $i] : (c1_1(X0) <=> $false)). % 5.69/5.88 tff(formula162, axiom, % 5.69/5.88 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((~((k!3800(X1) = $i!val!10) & (k!3801(X0) = $i!val!61))) & (~((k!3800(X1) = $i!val!12) & (k!3801(X0) = $i!val!38))) & (~((k!3800(X1) = $i!val!10) & (k!3801(X0) = $i!val!40))) & (~((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!55))) & (~((k!3800(X1) = $i!val!4) & (k!3801(X0) = $i!val!46))) & (~((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!46))) & (~((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!26))) & (~((k!3800(X1) = $i!val!3) & (k!3801(X0) = $i!val!40))) & (~((k!3800(X1) = $i!val!2) & (k!3801(X0) = $i!val!40))) & (~((k!3800(X1) = $i!val!2) & (k!3801(X0) = $i!val!11)))))). % 5.69/5.88 tff(formula163, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP4(X0) <=> $true)). % 5.69/5.88 tff(formula164, axiom, % 5.69/5.88 k!3801($i!val!15) = $i!val!15). % 5.69/5.88 tff(formula165, axiom, % 5.69/5.88 k!3801($i!val!53) = $i!val!53). % 5.69/5.88 tff(formula166, axiom, % 5.69/5.88 k!3801($i!val!33) = $i!val!33). % 5.69/5.88 tff(formula167, axiom, % 5.69/5.88 k!3801($i!val!54) = $i!val!54). % 5.69/5.88 tff(formula168, axiom, % 5.69/5.88 k!3801($i!val!39) = $i!val!39). % 5.69/5.88 tff(formula169, axiom, % 5.69/5.88 k!3801($i!val!49) = $i!val!49). % 5.69/5.88 tff(formula170, axiom, % 5.69/5.88 k!3801($i!val!1) = $i!val!1). % 5.69/5.88 tff(formula171, axiom, % 5.69/5.88 k!3801($i!val!24) = $i!val!24). % 5.69/5.88 tff(formula172, axiom, % 5.69/5.88 k!3801($i!val!27) = $i!val!27). % 5.69/5.88 tff(formula173, axiom, % 5.69/5.88 k!3801($i!val!11) = $i!val!11). % 5.69/5.88 tff(formula174, axiom, % 5.69/5.88 k!3801($i!val!35) = $i!val!35). % 5.69/5.88 tff(formula175, axiom, % 5.69/5.88 k!3801($i!val!56) = $i!val!56). % 5.69/5.88 tff(formula176, axiom, % 5.69/5.88 k!3801($i!val!58) = $i!val!58). % 5.69/5.88 tff(formula177, axiom, % 5.69/5.88 k!3801($i!val!28) = $i!val!28). % 5.69/5.88 tff(formula178, axiom, % 5.69/5.88 k!3801($i!val!30) = $i!val!30). % 5.69/5.88 tff(formula179, axiom, % 5.69/5.88 k!3801($i!val!40) = $i!val!40). % 5.69/5.88 tff(formula180, axiom, % 5.69/5.88 k!3801($i!val!23) = $i!val!23). % 5.69/5.88 tff(formula181, axiom, % 5.69/5.88 k!3801($i!val!38) = $i!val!38). % 5.69/5.88 tff(formula182, axiom, % 5.69/5.88 k!3801($i!val!18) = $i!val!18). % 5.69/5.88 tff(formula183, axiom, % 5.69/5.88 k!3801($i!val!29) = $i!val!29). % 5.69/5.88 tff(formula184, axiom, % 5.69/5.88 k!3801($i!val!60) = $i!val!60). % 5.69/5.88 tff(formula185, axiom, % 5.69/5.88 k!3801($i!val!48) = $i!val!48). % 5.69/5.88 tff(formula186, axiom, % 5.69/5.88 k!3801($i!val!57) = $i!val!57). % 5.69/5.88 tff(formula187, axiom, % 5.69/5.88 k!3801($i!val!25) = $i!val!25). % 5.69/5.88 tff(formula188, axiom, % 5.69/5.88 k!3801($i!val!51) = $i!val!51). % 5.69/5.88 tff(formula189, axiom, % 5.69/5.88 k!3801($i!val!61) = $i!val!61). % 5.69/5.88 tff(formula190, axiom, % 5.69/5.88 k!3801($i!val!45) = $i!val!45). % 5.69/5.88 tff(formula191, axiom, % 5.69/5.88 k!3801($i!val!37) = $i!val!37). % 5.69/5.88 tff(formula192, axiom, % 5.69/5.88 k!3801($i!val!32) = $i!val!32). % 5.69/5.88 tff(formula193, axiom, % 5.69/5.88 k!3801($i!val!36) = $i!val!36). % 5.69/5.88 tff(formula194, axiom, % 5.69/5.88 k!3801($i!val!46) = $i!val!46). % 5.69/5.88 tff(formula195, axiom, % 5.69/5.88 k!3801($i!val!59) = $i!val!59). % 5.69/5.88 tff(formula196, axiom, % 5.69/5.88 k!3801($i!val!16) = $i!val!16). % 5.69/5.88 tff(formula197, axiom, % 5.69/5.88 k!3801($i!val!22) = $i!val!22). % 5.69/5.88 tff(formula198, axiom, % 5.69/5.88 k!3801($i!val!52) = $i!val!52). % 5.69/5.88 tff(formula199, axiom, % 5.69/5.88 k!3801($i!val!31) = $i!val!31). % 5.69/5.88 tff(formula200, axiom, % 5.69/5.88 k!3801($i!val!42) = $i!val!42). % 5.69/5.88 tff(formula201, axiom, % 5.69/5.88 k!3801($i!val!50) = $i!val!50). % 5.69/5.88 tff(formula202, axiom, % 5.69/5.88 k!3801($i!val!26) = $i!val!26). % 5.69/5.88 tff(formula203, axiom, % 5.69/5.88 k!3801($i!val!55) = $i!val!55). % 5.69/5.88 tff(formula204, axiom, % 5.69/5.88 ![X0: $i] : ((~((($i!val!15 = X0)) | (($i!val!53 = X0)) | (($i!val!33 = X0)) | (($i!val!54 = X0)) | (($i!val!39 = X0)) | (($i!val!49 = X0)) | (($i!val!1 = X0)) | (($i!val!24 = X0)) | (($i!val!27 = X0)) | (($i!val!11 = X0)) | (($i!val!35 = X0)) | (($i!val!56 = X0)) | (($i!val!58 = X0)) | (($i!val!28 = X0)) | (($i!val!30 = X0)) | (($i!val!40 = X0)) | (($i!val!23 = X0)) | (($i!val!38 = X0)) | (($i!val!18 = X0)) | (($i!val!29 = X0)) | (($i!val!60 = X0)) | (($i!val!48 = X0)) | (($i!val!57 = X0)) | (($i!val!25 = X0)) | (($i!val!51 = X0)) | (($i!val!61 = X0)) | (($i!val!45 = X0)) | (($i!val!37 = X0)) | (($i!val!32 = X0)) | (($i!val!36 = X0)) | (($i!val!46 = X0)) | (($i!val!59 = X0)) | (($i!val!16 = X0)) | (($i!val!22 = X0)) | (($i!val!52 = X0)) | (($i!val!31 = X0)) | (($i!val!42 = X0)) | (($i!val!50 = X0)) | (($i!val!26 = X0)) | (($i!val!55 = X0)))) => (k!3801(X0) = $i!val!21))). % 5.69/5.88 tff(formula205, axiom, % 5.69/5.88 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!3800(X1) = $i!val!4) & (k!3801(X0) = $i!val!38)) | ((k!3800(X1) = $i!val!3) & (k!3801(X0) = $i!val!38)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!1)) | ((k!3800(X1) = $i!val!10) & (k!3801(X0) = $i!val!38))))). % 5.69/5.88 tff(formula206, axiom, % 5.69/5.88 ![X0: $i] : (c7_1(X0) <=> ((k!3800(X0) = $i!val!4) | (k!3800(X0) = $i!val!2) | (k!3800(X0) = $i!val!10) | (k!3800(X0) = $i!val!12) | (k!3800(X0) = $i!val!3)))). % 5.69/5.88 tff(formula207, axiom, % 5.69/5.88 ![X0: $i] : (ssSkP2(X0) <=> $true)). % 5.69/5.88 tff(formula208, axiom, % 5.69/5.88 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!28)) | ((k!3800(X1) = $i!val!2) & (k!3801(X0) = $i!val!11)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!1))))). % 5.69/5.89 tff(formula209, axiom, % 5.69/5.89 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!16)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!54)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!24)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!39)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!58)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!28)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!11)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!21)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!32)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!60)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!26)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!46)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!61)) | ((k!3800(X1) = $i!val!4) & (k!3801(X0) = $i!val!16)) | ((k!3800(X1) = $i!val!20) & (k!3801(X0) = $i!val!31))))). % 5.69/5.89 tff(formula210, axiom, % 5.69/5.89 ![X0: $i] : (ssSkP6(X0) <=> $true)). % 5.69/5.89 tff(formula211, axiom, % 5.69/5.89 ![X0: $i] : (c8_1(X0) <=> ((k!3800(X0) = $i!val!2) | (k!3800(X0) = $i!val!10) | (k!3800(X0) = $i!val!3)))). % 5.69/5.89 tff(formula212, axiom, % 5.69/5.89 ![X0: $i] : (c6_1(X0) <=> ((~(k!3800(X0) = $i!val!17)) & (~(k!3800(X0) = $i!val!3)) & (~(k!3800(X0) = $i!val!0)) & (~(k!3800(X0) = $i!val!4))))). % 5.69/5.89 tff(formula213, axiom, % 5.69/5.89 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!3800(X1) = $i!val!10) & (k!3801(X0) = $i!val!24)) | ((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!35)) | ((k!3800(X1) = $i!val!0) & (k!3801(X0) = $i!val!35))))). % 5.69/5.89 tff(formula214, axiom, % 5.69/5.89 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!3800(X1) = $i!val!20) & (k!3801(X0) = $i!val!45)) | ((k!3800(X1) = $i!val!17) & (k!3801(X0) = $i!val!27))))). % 5.69/5.89 tff(formula215, axiom, % 5.69/5.89 ![X0: $i] : (ssSkP3(X0) <=> ((~(k!3800(X0) = $i!val!3)) & (~(k!3800(X0) = $i!val!0)) & (~(k!3800(X0) = $i!val!2))))). % 5.69/5.89 tff(formula216, axiom, % 5.69/5.89 ![X0: $i] : (ssSkP7(X0) <=> $true)). % 5.69/5.89 % SZS output end Model % 5.69/5.90 % E exiting %------------------------------------------------------------------------------