%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN418+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:39:01 AM UTC 2025 % Result : CounterSatisfiable 2.07s 2.22s % Output : Model 2.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN418+1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n005.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 12:34:05 EDT 2025 % 0.12/0.33 % CPUTime : % 2.07/2.22 % SZS status CounterSatisfiable % 2.07/2.22 % SZS output start Model % 2.07/2.22 tff(tptp_fun__i_val_16_type, type, ( % 2.07/2.22 tptp_fun__i_val_16: $i)). % 2.07/2.22 tff(a33_type, type, ( % 2.07/2.22 a33: $i)). % 2.07/2.22 tff(tptp_fun__i_val_30_type, type, ( % 2.07/2.22 tptp_fun__i_val_30: $i)). % 2.07/2.22 tff(a59_type, type, ( % 2.07/2.22 a59: $i)). % 2.07/2.22 tff(tptp_fun__i_val_21_type, type, ( % 2.07/2.22 tptp_fun__i_val_21: $i)). % 2.07/2.22 tff(a37_type, type, ( % 2.07/2.22 a37: $i)). % 2.07/2.22 tff(tptp_fun__i_val_54_type, type, ( % 2.07/2.22 tptp_fun__i_val_54: $i)). % 2.07/2.22 tff(a92_type, type, ( % 2.07/2.22 a92: $i)). % 2.07/2.22 tff(tptp_fun__i_val_32_type, type, ( % 2.07/2.22 tptp_fun__i_val_32: $i)). % 2.07/2.22 tff(a73_type, type, ( % 2.07/2.22 a73: $i)). % 2.07/2.22 tff(tptp_fun__i_val_13_type, type, ( % 2.07/2.22 tptp_fun__i_val_13: $i)). % 2.07/2.22 tff(a21_type, type, ( % 2.07/2.22 a21: $i)). % 2.07/2.22 tff(c9_0_type, type, ( % 2.07/2.22 c9_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_56_type, type, ( % 2.07/2.22 tptp_fun__i_val_56: $i)). % 2.07/2.22 tff(a111_type, type, ( % 2.07/2.22 a111: $i)). % 2.07/2.22 tff(c7_0_type, type, ( % 2.07/2.22 c7_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_8_type, type, ( % 2.07/2.22 tptp_fun__i_val_8: $i)). % 2.07/2.22 tff(a18_type, type, ( % 2.07/2.22 a18: $i)). % 2.07/2.22 tff(tptp_fun__i_val_25_type, type, ( % 2.07/2.22 tptp_fun__i_val_25: $i)). % 2.07/2.22 tff(a47_type, type, ( % 2.07/2.22 a47: $i)). % 2.07/2.22 tff(c8_0_type, type, ( % 2.07/2.22 c8_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_0_type, type, ( % 2.07/2.22 tptp_fun__i_val_0: $i)). % 2.07/2.22 tff(a1_type, type, ( % 2.07/2.22 a1: $i)). % 2.07/2.22 tff(tptp_fun__i_val_55_type, type, ( % 2.07/2.22 tptp_fun__i_val_55: $i)). % 2.07/2.22 tff(a131_type, type, ( % 2.07/2.22 a131: $i)). % 2.07/2.22 tff(tptp_fun__i_val_45_type, type, ( % 2.07/2.22 tptp_fun__i_val_45: $i)). % 2.07/2.22 tff(a122_type, type, ( % 2.07/2.22 a122: $i)). % 2.07/2.22 tff(tptp_fun__i_val_12_type, type, ( % 2.07/2.22 tptp_fun__i_val_12: $i)). % 2.07/2.22 tff(a20_type, type, ( % 2.07/2.22 a20: $i)). % 2.07/2.22 tff(tptp_fun__i_val_66_type, type, ( % 2.07/2.22 tptp_fun__i_val_66: $i)). % 2.07/2.22 tff(a43_type, type, ( % 2.07/2.22 a43: $i)). % 2.07/2.22 tff(tptp_fun__i_val_58_type, type, ( % 2.07/2.22 tptp_fun__i_val_58: $i)). % 2.07/2.22 tff(a14_type, type, ( % 2.07/2.22 a14: $i)). % 2.07/2.22 tff(tptp_fun__i_val_67_type, type, ( % 2.07/2.22 tptp_fun__i_val_67: $i)). % 2.07/2.22 tff(a40_type, type, ( % 2.07/2.22 a40: $i)). % 2.07/2.22 tff(tptp_fun__i_val_36_type, type, ( % 2.07/2.22 tptp_fun__i_val_36: $i)). % 2.07/2.22 tff(a94_type, type, ( % 2.07/2.22 a94: $i)). % 2.07/2.22 tff(tptp_fun__i_val_64_type, type, ( % 2.07/2.22 tptp_fun__i_val_64: $i)). % 2.07/2.22 tff(a42_type, type, ( % 2.07/2.22 a42: $i)). % 2.07/2.22 tff(c10_0_type, type, ( % 2.07/2.22 c10_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_19_type, type, ( % 2.07/2.22 tptp_fun__i_val_19: $i)). % 2.07/2.22 tff(a31_type, type, ( % 2.07/2.22 a31: $i)). % 2.07/2.22 tff(tptp_fun__i_val_9_type, type, ( % 2.07/2.22 tptp_fun__i_val_9: $i)). % 2.07/2.22 tff(a16_type, type, ( % 2.07/2.22 a16: $i)). % 2.07/2.22 tff(c1_0_type, type, ( % 2.07/2.22 c1_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_18_type, type, ( % 2.07/2.22 tptp_fun__i_val_18: $i)). % 2.07/2.22 tff(a36_type, type, ( % 2.07/2.22 a36: $i)). % 2.07/2.22 tff(tptp_fun__i_val_37_type, type, ( % 2.07/2.22 tptp_fun__i_val_37: $i)). % 2.07/2.22 tff(a97_type, type, ( % 2.07/2.22 a97: $i)). % 2.07/2.22 tff(tptp_fun__i_val_24_type, type, ( % 2.07/2.22 tptp_fun__i_val_24: $i)). % 2.07/2.22 tff(a46_type, type, ( % 2.07/2.22 a46: $i)). % 2.07/2.22 tff(tptp_fun__i_val_1_type, type, ( % 2.07/2.22 tptp_fun__i_val_1: $i)). % 2.07/2.22 tff(a3_type, type, ( % 2.07/2.22 a3: $i)). % 2.07/2.22 tff(tptp_fun__i_val_2_type, type, ( % 2.07/2.22 tptp_fun__i_val_2: $i)). % 2.07/2.22 tff(a4_type, type, ( % 2.07/2.22 a4: $i)). % 2.07/2.22 tff(tptp_fun__i_val_38_type, type, ( % 2.07/2.22 tptp_fun__i_val_38: $i)). % 2.07/2.22 tff(a103_type, type, ( % 2.07/2.22 a103: $i)). % 2.07/2.22 tff(tptp_fun__i_val_28_type, type, ( % 2.07/2.22 tptp_fun__i_val_28: $i)). % 2.07/2.22 tff(a54_type, type, ( % 2.07/2.22 a54: $i)). % 2.07/2.22 tff(tptp_fun__i_val_14_type, type, ( % 2.07/2.22 tptp_fun__i_val_14: $i)). % 2.07/2.22 tff(a24_type, type, ( % 2.07/2.22 a24: $i)). % 2.07/2.22 tff(tptp_fun__i_val_26_type, type, ( % 2.07/2.22 tptp_fun__i_val_26: $i)). % 2.07/2.22 tff(a48_type, type, ( % 2.07/2.22 a48: $i)). % 2.07/2.22 tff(tptp_fun__i_val_49_type, type, ( % 2.07/2.22 tptp_fun__i_val_49: $i)). % 2.07/2.22 tff(a144_type, type, ( % 2.07/2.22 a144: $i)). % 2.07/2.22 tff(tptp_fun__i_val_51_type, type, ( % 2.07/2.22 tptp_fun__i_val_51: $i)). % 2.07/2.22 tff(a70_type, type, ( % 2.07/2.22 a70: $i)). % 2.07/2.22 tff(c4_0_type, type, ( % 2.07/2.22 c4_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_20_type, type, ( % 2.07/2.22 tptp_fun__i_val_20: $i)). % 2.07/2.22 tff(a32_type, type, ( % 2.07/2.22 a32: $i)). % 2.07/2.22 tff(tptp_fun__i_val_71_type, type, ( % 2.07/2.22 tptp_fun__i_val_71: $i)). % 2.07/2.22 tff(a145_type, type, ( % 2.07/2.22 a145: $i)). % 2.07/2.22 tff(tptp_fun__i_val_40_type, type, ( % 2.07/2.22 tptp_fun__i_val_40: $i)). % 2.07/2.22 tff(a114_type, type, ( % 2.07/2.22 a114: $i)). % 2.07/2.22 tff(tptp_fun__i_val_17_type, type, ( % 2.07/2.22 tptp_fun__i_val_17: $i)). % 2.07/2.22 tff(a34_type, type, ( % 2.07/2.22 a34: $i)). % 2.07/2.22 tff(c2_0_type, type, ( % 2.07/2.22 c2_0: $o)). % 2.07/2.22 tff(c6_0_type, type, ( % 2.07/2.22 c6_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_61_type, type, ( % 2.07/2.22 tptp_fun__i_val_61: $i)). % 2.07/2.22 tff(a89_type, type, ( % 2.07/2.22 a89: $i)). % 2.07/2.22 tff(tptp_fun__i_val_68_type, type, ( % 2.07/2.22 tptp_fun__i_val_68: $i)). % 2.07/2.22 tff(a60_type, type, ( % 2.07/2.22 a60: $i)). % 2.07/2.22 tff(tptp_fun__i_val_70_type, type, ( % 2.07/2.22 tptp_fun__i_val_70: $i)). % 2.07/2.22 tff(a61_type, type, ( % 2.07/2.22 a61: $i)). % 2.07/2.22 tff(tptp_fun__i_val_10_type, type, ( % 2.07/2.22 tptp_fun__i_val_10: $i)). % 2.07/2.22 tff(a17_type, type, ( % 2.07/2.22 a17: $i)). % 2.07/2.22 tff(tptp_fun__i_val_7_type, type, ( % 2.07/2.22 tptp_fun__i_val_7: $i)). % 2.07/2.22 tff(a15_type, type, ( % 2.07/2.22 a15: $i)). % 2.07/2.22 tff(tptp_fun__i_val_35_type, type, ( % 2.07/2.22 tptp_fun__i_val_35: $i)). % 2.07/2.22 tff(a91_type, type, ( % 2.07/2.22 a91: $i)). % 2.07/2.22 tff(tptp_fun__i_val_5_type, type, ( % 2.07/2.22 tptp_fun__i_val_5: $i)). % 2.07/2.22 tff(a7_type, type, ( % 2.07/2.22 a7: $i)). % 2.07/2.22 tff(tptp_fun__i_val_4_type, type, ( % 2.07/2.22 tptp_fun__i_val_4: $i)). % 2.07/2.22 tff(a6_type, type, ( % 2.07/2.22 a6: $i)). % 2.07/2.22 tff(tptp_fun__i_val_27_type, type, ( % 2.07/2.22 tptp_fun__i_val_27: $i)). % 2.07/2.22 tff(a53_type, type, ( % 2.07/2.22 a53: $i)). % 2.07/2.22 tff(ndr1_0_type, type, ( % 2.07/2.22 ndr1_0: $o)). % 2.07/2.22 tff(c3_0_type, type, ( % 2.07/2.22 c3_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_3_type, type, ( % 2.07/2.22 tptp_fun__i_val_3: $i)). % 2.07/2.22 tff(a5_type, type, ( % 2.07/2.22 a5: $i)). % 2.07/2.22 tff(tptp_fun__i_val_22_type, type, ( % 2.07/2.22 tptp_fun__i_val_22: $i)). % 2.07/2.22 tff(a41_type, type, ( % 2.07/2.22 a41: $i)). % 2.07/2.22 tff(tptp_fun__i_val_48_type, type, ( % 2.07/2.22 tptp_fun__i_val_48: $i)). % 2.07/2.22 tff(a137_type, type, ( % 2.07/2.22 a137: $i)). % 2.07/2.22 tff(tptp_fun__i_val_39_type, type, ( % 2.07/2.22 tptp_fun__i_val_39: $i)). % 2.07/2.22 tff(a110_type, type, ( % 2.07/2.22 a110: $i)). % 2.07/2.22 tff(tptp_fun__i_val_50_type, type, ( % 2.07/2.22 tptp_fun__i_val_50: $i)). % 2.07/2.22 tff(a146_type, type, ( % 2.07/2.22 a146: $i)). % 2.07/2.22 tff(tptp_fun__i_val_57_type, type, ( % 2.07/2.22 tptp_fun__i_val_57: $i)). % 2.07/2.22 tff(a138_type, type, ( % 2.07/2.22 a138: $i)). % 2.07/2.22 tff(tptp_fun__i_val_59_type, type, ( % 2.07/2.22 tptp_fun__i_val_59: $i)). % 2.07/2.22 tff(a39_type, type, ( % 2.07/2.22 a39: $i)). % 2.07/2.22 tff(tptp_fun__i_val_23_type, type, ( % 2.07/2.22 tptp_fun__i_val_23: $i)). % 2.07/2.22 tff(a45_type, type, ( % 2.07/2.22 a45: $i)). % 2.07/2.22 tff(tptp_fun__i_val_41_type, type, ( % 2.07/2.22 tptp_fun__i_val_41: $i)). % 2.07/2.22 tff(a115_type, type, ( % 2.07/2.22 a115: $i)). % 2.07/2.22 tff(tptp_fun__i_val_31_type, type, ( % 2.07/2.22 tptp_fun__i_val_31: $i)). % 2.07/2.22 tff(a66_type, type, ( % 2.07/2.22 a66: $i)). % 2.07/2.22 tff(tptp_fun__i_val_11_type, type, ( % 2.07/2.22 tptp_fun__i_val_11: $i)). % 2.07/2.22 tff(a19_type, type, ( % 2.07/2.22 a19: $i)). % 2.07/2.22 tff(tptp_fun__i_val_33_type, type, ( % 2.07/2.22 tptp_fun__i_val_33: $i)). % 2.07/2.22 tff(a78_type, type, ( % 2.07/2.22 a78: $i)). % 2.07/2.22 tff(tptp_fun__i_val_43_type, type, ( % 2.07/2.22 tptp_fun__i_val_43: $i)). % 2.07/2.22 tff(a120_type, type, ( % 2.07/2.22 a120: $i)). % 2.07/2.22 tff(tptp_fun__i_val_60_type, type, ( % 2.07/2.22 tptp_fun__i_val_60: $i)). % 2.07/2.22 tff(a64_type, type, ( % 2.07/2.22 a64: $i)). % 2.07/2.22 tff(tptp_fun__i_val_63_type, type, ( % 2.07/2.22 tptp_fun__i_val_63: $i)). % 2.07/2.22 tff(a65_type, type, ( % 2.07/2.22 a65: $i)). % 2.07/2.22 tff(tptp_fun__i_val_73_type, type, ( % 2.07/2.22 tptp_fun__i_val_73: $i)). % 2.07/2.22 tff(a63_type, type, ( % 2.07/2.22 a63: $i)). % 2.07/2.22 tff(tptp_fun__i_val_42_type, type, ( % 2.07/2.22 tptp_fun__i_val_42: $i)). % 2.07/2.22 tff(a119_type, type, ( % 2.07/2.22 a119: $i)). % 2.07/2.22 tff(tptp_fun__i_val_47_type, type, ( % 2.07/2.22 tptp_fun__i_val_47: $i)). % 2.07/2.22 tff(a127_type, type, ( % 2.07/2.22 a127: $i)). % 2.07/2.22 tff(tptp_fun__i_val_65_type, type, ( % 2.07/2.22 tptp_fun__i_val_65: $i)). % 2.07/2.22 tff(a118_type, type, ( % 2.07/2.22 a118: $i)). % 2.07/2.22 tff(tptp_fun__i_val_44_type, type, ( % 2.07/2.22 tptp_fun__i_val_44: $i)). % 2.07/2.22 tff(a121_type, type, ( % 2.07/2.22 a121: $i)). % 2.07/2.22 tff(tptp_fun__i_val_15_type, type, ( % 2.07/2.22 tptp_fun__i_val_15: $i)). % 2.07/2.22 tff(a23_type, type, ( % 2.07/2.22 a23: $i)). % 2.07/2.22 tff(c5_0_type, type, ( % 2.07/2.22 c5_0: $o)). % 2.07/2.22 tff(tptp_fun__i_val_6_type, type, ( % 2.07/2.22 tptp_fun__i_val_6: $i)). % 2.07/2.22 tff(a9_type, type, ( % 2.07/2.22 a9: $i)). % 2.07/2.22 tff(tptp_fun__i_val_52_type, type, ( % 2.07/2.22 tptp_fun__i_val_52: $i)). % 2.07/2.22 tff(a80_type, type, ( % 2.07/2.22 a80: $i)). % 2.07/2.22 tff(tptp_fun__i_val_53_type, type, ( % 2.07/2.22 tptp_fun__i_val_53: $i)). % 2.07/2.22 tff(a84_type, type, ( % 2.07/2.22 a84: $i)). % 2.07/2.22 tff(tptp_fun__i_val_46_type, type, ( % 2.07/2.22 tptp_fun__i_val_46: $i)). % 2.07/2.22 tff(a126_type, type, ( % 2.07/2.22 a126: $i)). % 2.07/2.22 tff(tptp_fun__i_val_34_type, type, ( % 2.07/2.22 tptp_fun__i_val_34: $i)). % 2.07/2.22 tff(a87_type, type, ( % 2.07/2.22 a87: $i)). % 2.07/2.22 tff(tptp_fun__i_val_69_type, type, ( % 2.07/2.22 tptp_fun__i_val_69: $i)). % 2.07/2.22 tff(a25_type, type, ( % 2.07/2.22 a25: $i)). % 2.07/2.22 tff(tptp_fun__i_val_72_type, type, ( % 2.07/2.22 tptp_fun__i_val_72: $i)). % 2.07/2.22 tff(a62_type, type, ( % 2.07/2.22 a62: $i)). % 2.07/2.22 tff(tptp_fun__i_val_29_type, type, ( % 2.07/2.22 tptp_fun__i_val_29: $i)). % 2.07/2.22 tff(a56_type, type, ( % 2.07/2.22 a56: $i)). % 2.07/2.22 tff(tptp_fun__i_val_62_type, type, ( % 2.07/2.22 tptp_fun__i_val_62: $i)). % 2.07/2.22 tff(a129_type, type, ( % 2.07/2.22 a129: $i)). % 2.07/2.22 tff(k!1295_type, type, ( % 2.07/2.22 k!1295: $i > $i)). % 2.07/2.22 tff(ndr1_1_type, type, ( % 2.07/2.22 ndr1_1: $i > $o)). % 2.07/2.22 tff(k!1294_type, type, ( % 2.07/2.22 k!1294: $i > $i)). % 2.07/2.22 tff(c7_2_type, type, ( % 2.07/2.22 c7_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c10_1_type, type, ( % 2.07/2.22 c10_1: $i > $o)). % 2.07/2.22 tff(c5_1_type, type, ( % 2.07/2.22 c5_1: $i > $o)). % 2.07/2.22 tff(c3_1_type, type, ( % 2.07/2.22 c3_1: $i > $o)). % 2.07/2.22 tff(c2_1_type, type, ( % 2.07/2.22 c2_1: $i > $o)). % 2.07/2.22 tff(c10_2_type, type, ( % 2.07/2.22 c10_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c1_2_type, type, ( % 2.07/2.22 c1_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c4_1_type, type, ( % 2.07/2.22 c4_1: $i > $o)). % 2.07/2.22 tff(c9_1_type, type, ( % 2.07/2.22 c9_1: $i > $o)). % 2.07/2.22 tff(c1_1_type, type, ( % 2.07/2.22 c1_1: $i > $o)). % 2.07/2.22 tff(c3_2_type, type, ( % 2.07/2.22 c3_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c4_2_type, type, ( % 2.07/2.22 c4_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c7_1_type, type, ( % 2.07/2.22 c7_1: $i > $o)). % 2.07/2.22 tff(c5_2_type, type, ( % 2.07/2.22 c5_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c8_2_type, type, ( % 2.07/2.22 c8_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c9_2_type, type, ( % 2.07/2.22 c9_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c6_1_type, type, ( % 2.07/2.22 c6_1: $i > $o)). % 2.07/2.22 tff(c8_1_type, type, ( % 2.07/2.22 c8_1: $i > $o)). % 2.07/2.22 tff(c2_2_type, type, ( % 2.07/2.22 c2_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(c6_2_type, type, ( % 2.07/2.22 c6_2: ( $i * $i ) > $o)). % 2.07/2.22 tff(formula1, axiom, % 2.07/2.22 a33 = $i!val!16). % 2.07/2.22 tff(formula2, axiom, % 2.07/2.22 a59 = $i!val!30). % 2.07/2.22 tff(formula3, axiom, % 2.07/2.22 a37 = $i!val!21). % 2.07/2.22 tff(formula4, axiom, % 2.07/2.22 a92 = $i!val!54). % 2.07/2.22 tff(formula5, axiom, % 2.07/2.22 a73 = $i!val!32). % 2.07/2.22 tff(formula6, axiom, % 2.07/2.22 a21 = $i!val!13). % 2.07/2.22 tff(formula7, axiom, % 2.07/2.22 c9_0 <=> $false). % 2.07/2.22 tff(formula8, axiom, % 2.07/2.22 a111 = $i!val!56). % 2.07/2.22 tff(formula9, axiom, % 2.07/2.22 c7_0 <=> $false). % 2.07/2.22 tff(formula10, axiom, % 2.07/2.22 a18 = $i!val!8). % 2.07/2.22 tff(formula11, axiom, % 2.07/2.22 a47 = $i!val!25). % 2.07/2.22 tff(formula12, axiom, % 2.07/2.22 c8_0 <=> $false). % 2.07/2.22 tff(formula13, axiom, % 2.07/2.22 a1 = $i!val!0). % 2.07/2.22 tff(formula14, axiom, % 2.07/2.22 a131 = $i!val!55). % 2.07/2.22 tff(formula15, axiom, % 2.07/2.22 a122 = $i!val!45). % 2.07/2.22 tff(formula16, axiom, % 2.07/2.22 a20 = $i!val!12). % 2.07/2.22 tff(formula17, axiom, % 2.07/2.22 a43 = $i!val!66). % 2.07/2.22 tff(formula18, axiom, % 2.07/2.22 a14 = $i!val!58). % 2.07/2.22 tff(formula19, axiom, % 2.07/2.22 a40 = $i!val!67). % 2.07/2.22 tff(formula20, axiom, % 2.07/2.22 a94 = $i!val!36). % 2.07/2.22 tff(formula21, axiom, % 2.07/2.22 a42 = $i!val!64). % 2.07/2.22 tff(formula22, axiom, % 2.07/2.22 c10_0 <=> $false). % 2.07/2.22 tff(formula23, axiom, % 2.07/2.22 a31 = $i!val!19). % 2.07/2.22 tff(formula24, axiom, % 2.07/2.22 a16 = $i!val!9). % 2.07/2.22 tff(formula25, axiom, % 2.07/2.22 c1_0 <=> $true). % 2.07/2.22 tff(formula26, axiom, % 2.07/2.23 a36 = $i!val!18). % 2.07/2.23 tff(formula27, axiom, % 2.07/2.23 a97 = $i!val!37). % 2.07/2.23 tff(formula28, axiom, % 2.07/2.23 a46 = $i!val!24). % 2.07/2.23 tff(formula29, axiom, % 2.07/2.23 a3 = $i!val!1). % 2.07/2.23 tff(formula30, axiom, % 2.07/2.23 a4 = $i!val!2). % 2.07/2.23 tff(formula31, axiom, % 2.07/2.23 a103 = $i!val!38). % 2.07/2.23 tff(formula32, axiom, % 2.07/2.23 a54 = $i!val!28). % 2.07/2.23 tff(formula33, axiom, % 2.07/2.23 a24 = $i!val!14). % 2.07/2.23 tff(formula34, axiom, % 2.07/2.23 a48 = $i!val!26). % 2.07/2.23 tff(formula35, axiom, % 2.07/2.23 a144 = $i!val!49). % 2.07/2.23 tff(formula36, axiom, % 2.07/2.23 a70 = $i!val!51). % 2.07/2.23 tff(formula37, axiom, % 2.07/2.23 c4_0 <=> $true). % 2.07/2.23 tff(formula38, axiom, % 2.07/2.23 a32 = $i!val!20). % 2.07/2.23 tff(formula39, axiom, % 2.07/2.23 a145 = $i!val!71). % 2.07/2.23 tff(formula40, axiom, % 2.07/2.23 a114 = $i!val!40). % 2.07/2.23 tff(formula41, axiom, % 2.07/2.23 a34 = $i!val!17). % 2.07/2.23 tff(formula42, axiom, % 2.07/2.23 c2_0 <=> $true). % 2.07/2.23 tff(formula43, axiom, % 2.07/2.23 c6_0 <=> $false). % 2.07/2.23 tff(formula44, axiom, % 2.07/2.23 a89 = $i!val!61). % 2.07/2.23 tff(formula45, axiom, % 2.07/2.23 a60 = $i!val!68). % 2.07/2.23 tff(formula46, axiom, % 2.07/2.23 a61 = $i!val!70). % 2.07/2.23 tff(formula47, axiom, % 2.07/2.23 a17 = $i!val!10). % 2.07/2.23 tff(formula48, axiom, % 2.07/2.23 a15 = $i!val!7). % 2.07/2.23 tff(formula49, axiom, % 2.07/2.23 a91 = $i!val!35). % 2.07/2.23 tff(formula50, axiom, % 2.07/2.23 a7 = $i!val!5). % 2.07/2.23 tff(formula51, axiom, % 2.07/2.23 a6 = $i!val!4). % 2.07/2.23 tff(formula52, axiom, % 2.07/2.23 a53 = $i!val!27). % 2.07/2.23 tff(formula53, axiom, % 2.07/2.23 ndr1_0 <=> $true). % 2.07/2.23 tff(formula54, axiom, % 2.07/2.23 c3_0 <=> $false). % 2.07/2.23 tff(formula55, axiom, % 2.07/2.23 a5 = $i!val!3). % 2.07/2.23 tff(formula56, axiom, % 2.07/2.23 a41 = $i!val!22). % 2.07/2.23 tff(formula57, axiom, % 2.07/2.23 a137 = $i!val!48). % 2.07/2.23 tff(formula58, axiom, % 2.07/2.23 a110 = $i!val!39). % 2.07/2.23 tff(formula59, axiom, % 2.07/2.23 a146 = $i!val!50). % 2.07/2.23 tff(formula60, axiom, % 2.07/2.23 a138 = $i!val!57). % 2.07/2.23 tff(formula61, axiom, % 2.07/2.23 a39 = $i!val!59). % 2.07/2.23 tff(formula62, axiom, % 2.07/2.23 a45 = $i!val!23). % 2.07/2.23 tff(formula63, axiom, % 2.07/2.23 a115 = $i!val!41). % 2.07/2.23 tff(formula64, axiom, % 2.07/2.23 a66 = $i!val!31). % 2.07/2.23 tff(formula65, axiom, % 2.07/2.23 a19 = $i!val!11). % 2.07/2.23 tff(formula66, axiom, % 2.07/2.23 a78 = $i!val!33). % 2.07/2.23 tff(formula67, axiom, % 2.07/2.23 a120 = $i!val!43). % 2.07/2.23 tff(formula68, axiom, % 2.07/2.23 a64 = $i!val!60). % 2.07/2.23 tff(formula69, axiom, % 2.07/2.23 a65 = $i!val!63). % 2.07/2.23 tff(formula70, axiom, % 2.07/2.23 a63 = $i!val!73). % 2.07/2.23 tff(formula71, axiom, % 2.07/2.23 a119 = $i!val!42). % 2.07/2.23 tff(formula72, axiom, % 2.07/2.23 a127 = $i!val!47). % 2.07/2.23 tff(formula73, axiom, % 2.07/2.23 a118 = $i!val!65). % 2.07/2.23 tff(formula74, axiom, % 2.07/2.23 a121 = $i!val!44). % 2.07/2.23 tff(formula75, axiom, % 2.07/2.23 a23 = $i!val!15). % 2.07/2.23 tff(formula76, axiom, % 2.07/2.23 c5_0 <=> $true). % 2.07/2.23 tff(formula77, axiom, % 2.07/2.23 a9 = $i!val!6). % 2.07/2.23 tff(formula78, axiom, % 2.07/2.23 a80 = $i!val!52). % 2.07/2.23 tff(formula79, axiom, % 2.07/2.23 a84 = $i!val!53). % 2.07/2.23 tff(formula80, axiom, % 2.07/2.23 a126 = $i!val!46). % 2.07/2.23 tff(formula81, axiom, % 2.07/2.23 a87 = $i!val!34). % 2.07/2.23 tff(formula82, axiom, % 2.07/2.23 a25 = $i!val!69). % 2.07/2.23 tff(formula83, axiom, % 2.07/2.23 a62 = $i!val!72). % 2.07/2.23 tff(formula84, axiom, % 2.07/2.23 a56 = $i!val!29). % 2.07/2.23 tff(formula85, axiom, % 2.07/2.23 a129 = $i!val!62). % 2.07/2.23 tff(formula86, axiom, % 2.07/2.23 ![X0: $i] : (ndr1_1(X0) <=> ((~(k!1295(X0) = $i!val!8)) & (~(k!1295(X0) = $i!val!22)) & (~(k!1295(X0) = $i!val!32)) & (~(k!1295(X0) = $i!val!30)) & (~(k!1295(X0) = $i!val!34)) & (~(k!1295(X0) = $i!val!21)) & (~(k!1295(X0) = $i!val!6))))). % 2.07/2.23 tff(formula87, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!26)) | ((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!3))))). % 2.07/2.23 tff(formula88, axiom, % 2.07/2.23 ![X0: $i] : (c10_1(X0) <=> ((~(k!1295(X0) = $i!val!44)) & (~(k!1295(X0) = $i!val!22))))). % 2.07/2.23 tff(formula89, axiom, % 2.07/2.23 ![X0: $i] : (c5_1(X0) <=> ((k!1295(X0) = $i!val!45) | (k!1295(X0) = $i!val!27) | (k!1295(X0) = $i!val!42) | (k!1295(X0) = $i!val!7) | (k!1295(X0) = $i!val!46) | (k!1295(X0) = $i!val!37)))). % 2.07/2.23 tff(formula90, axiom, % 2.07/2.23 ![X0: $i] : (c3_1(X0) <=> ((k!1295(X0) = $i!val!45) | (k!1295(X0) = $i!val!7) | (k!1295(X0) = $i!val!46) | (k!1295(X0) = $i!val!31) | (k!1295(X0) = $i!val!47)))). % 2.07/2.23 tff(formula91, axiom, % 2.07/2.23 ![X0: $i] : (c2_1(X0) <=> $false)). % 2.07/2.23 tff(formula92, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!65)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!25)) | ((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!58)) | ((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!69))))). % 2.07/2.23 tff(formula93, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!12))) & (~((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69))) & (~((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!24))) & (~((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!26))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!20))) & (~((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!55))) & (~((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!55))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!55))) & (~((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!55))) & (~((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!57))) & (~((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!57))) & (~((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!57))) & (~((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!57))) & (~((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!43))) & (~((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!25))) & (~((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!3)))))). % 2.07/2.23 tff(formula94, axiom, % 2.07/2.23 ![X0: $i] : (c4_1(X0) <=> ((k!1295(X0) = $i!val!46) | (k!1295(X0) = $i!val!31) | (k!1295(X0) = $i!val!47)))). % 2.07/2.23 tff(formula95, axiom, % 2.07/2.23 ![X0: $i] : (c9_1(X0) <=> (k!1295(X0) = $i!val!45))). % 2.07/2.23 tff(formula96, axiom, % 2.07/2.23 k!1294($i!val!13) = $i!val!13). % 2.07/2.23 tff(formula97, axiom, % 2.07/2.23 k!1294($i!val!17) = $i!val!17). % 2.07/2.23 tff(formula98, axiom, % 2.07/2.23 k!1294($i!val!56) = $i!val!56). % 2.07/2.23 tff(formula99, axiom, % 2.07/2.23 k!1294($i!val!68) = $i!val!68). % 2.07/2.23 tff(formula100, axiom, % 2.07/2.23 k!1294($i!val!25) = $i!val!25). % 2.07/2.23 tff(formula101, axiom, % 2.07/2.23 k!1294($i!val!61) = $i!val!61). % 2.07/2.23 tff(formula102, axiom, % 2.07/2.23 k!1294($i!val!70) = $i!val!70). % 2.07/2.23 tff(formula103, axiom, % 2.07/2.23 k!1294($i!val!66) = $i!val!66). % 2.07/2.23 tff(formula104, axiom, % 2.07/2.23 k!1294($i!val!55) = $i!val!55). % 2.07/2.23 tff(formula105, axiom, % 2.07/2.23 k!1294($i!val!35) = $i!val!35). % 2.07/2.23 tff(formula106, axiom, % 2.07/2.23 k!1294($i!val!10) = $i!val!10). % 2.07/2.23 tff(formula107, axiom, % 2.07/2.23 k!1294($i!val!12) = $i!val!12). % 2.07/2.23 tff(formula108, axiom, % 2.07/2.23 k!1294($i!val!48) = $i!val!48). % 2.07/2.23 tff(formula109, axiom, % 2.07/2.23 k!1294($i!val!59) = $i!val!59). % 2.07/2.23 tff(formula110, axiom, % 2.07/2.23 k!1294($i!val!58) = $i!val!58). % 2.07/2.23 tff(formula111, axiom, % 2.07/2.23 k!1294($i!val!3) = $i!val!3). % 2.07/2.23 tff(formula112, axiom, % 2.07/2.23 k!1294($i!val!50) = $i!val!50). % 2.07/2.23 tff(formula113, axiom, % 2.07/2.23 k!1294($i!val!63) = $i!val!63). % 2.07/2.23 tff(formula114, axiom, % 2.07/2.23 k!1294($i!val!39) = $i!val!39). % 2.07/2.23 tff(formula115, axiom, % 2.07/2.23 k!1294($i!val!57) = $i!val!57). % 2.07/2.23 tff(formula116, axiom, % 2.07/2.23 k!1294($i!val!67) = $i!val!67). % 2.07/2.23 tff(formula117, axiom, % 2.07/2.23 k!1294($i!val!36) = $i!val!36). % 2.07/2.23 tff(formula118, axiom, % 2.07/2.23 k!1294($i!val!64) = $i!val!64). % 2.07/2.23 tff(formula119, axiom, % 2.07/2.23 k!1294($i!val!43) = $i!val!43). % 2.07/2.23 tff(formula120, axiom, % 2.07/2.23 k!1294($i!val!41) = $i!val!41). % 2.07/2.23 tff(formula121, axiom, % 2.07/2.23 k!1294($i!val!73) = $i!val!73). % 2.07/2.23 tff(formula122, axiom, % 2.07/2.23 k!1294($i!val!60) = $i!val!60). % 2.07/2.23 tff(formula123, axiom, % 2.07/2.23 k!1294($i!val!18) = $i!val!18). % 2.07/2.23 tff(formula124, axiom, % 2.07/2.23 k!1294($i!val!38) = $i!val!38). % 2.07/2.23 tff(formula125, axiom, % 2.07/2.23 k!1294($i!val!33) = $i!val!33). % 2.07/2.23 tff(formula126, axiom, % 2.07/2.23 k!1294($i!val!24) = $i!val!24). % 2.07/2.23 tff(formula127, axiom, % 2.07/2.23 k!1294($i!val!2) = $i!val!2). % 2.07/2.23 tff(formula128, axiom, % 2.07/2.23 k!1294($i!val!65) = $i!val!65). % 2.07/2.23 tff(formula129, axiom, % 2.07/2.23 k!1294($i!val!28) = $i!val!28). % 2.07/2.23 tff(formula130, axiom, % 2.07/2.23 k!1294($i!val!15) = $i!val!15). % 2.07/2.23 tff(formula131, axiom, % 2.07/2.23 k!1294($i!val!52) = $i!val!52). % 2.07/2.23 tff(formula132, axiom, % 2.07/2.23 k!1294($i!val!26) = $i!val!26). % 2.07/2.23 tff(formula133, axiom, % 2.07/2.23 k!1294($i!val!14) = $i!val!14). % 2.07/2.23 tff(formula134, axiom, % 2.07/2.23 k!1294($i!val!53) = $i!val!53). % 2.07/2.23 tff(formula135, axiom, % 2.07/2.23 k!1294($i!val!49) = $i!val!49). % 2.07/2.23 tff(formula136, axiom, % 2.07/2.23 k!1294($i!val!69) = $i!val!69). % 2.07/2.23 tff(formula137, axiom, % 2.07/2.23 k!1294($i!val!51) = $i!val!51). % 2.07/2.23 tff(formula138, axiom, % 2.07/2.23 k!1294($i!val!72) = $i!val!72). % 2.07/2.23 tff(formula139, axiom, % 2.07/2.23 k!1294($i!val!20) = $i!val!20). % 2.07/2.23 tff(formula140, axiom, % 2.07/2.23 k!1294($i!val!71) = $i!val!71). % 2.07/2.23 tff(formula141, axiom, % 2.07/2.23 k!1294($i!val!62) = $i!val!62). % 2.07/2.23 tff(formula142, axiom, % 2.07/2.23 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!17 = X0)) | (($i!val!56 = X0)) | (($i!val!68 = X0)) | (($i!val!25 = X0)) | (($i!val!61 = X0)) | (($i!val!70 = X0)) | (($i!val!66 = X0)) | (($i!val!55 = X0)) | (($i!val!35 = X0)) | (($i!val!10 = X0)) | (($i!val!12 = X0)) | (($i!val!48 = X0)) | (($i!val!59 = X0)) | (($i!val!58 = X0)) | (($i!val!3 = X0)) | (($i!val!50 = X0)) | (($i!val!63 = X0)) | (($i!val!39 = X0)) | (($i!val!57 = X0)) | (($i!val!67 = X0)) | (($i!val!36 = X0)) | (($i!val!64 = X0)) | (($i!val!43 = X0)) | (($i!val!41 = X0)) | (($i!val!73 = X0)) | (($i!val!60 = X0)) | (($i!val!18 = X0)) | (($i!val!38 = X0)) | (($i!val!33 = X0)) | (($i!val!24 = X0)) | (($i!val!2 = X0)) | (($i!val!65 = X0)) | (($i!val!28 = X0)) | (($i!val!15 = X0)) | (($i!val!52 = X0)) | (($i!val!26 = X0)) | (($i!val!14 = X0)) | (($i!val!53 = X0)) | (($i!val!49 = X0)) | (($i!val!69 = X0)) | (($i!val!51 = X0)) | (($i!val!72 = X0)) | (($i!val!20 = X0)) | (($i!val!71 = X0)) | (($i!val!62 = X0)))) => (k!1294(X0) = $i!val!54))). % 2.07/2.23 tff(formula143, axiom, % 2.07/2.23 ![X0: $i] : (c1_1(X0) <=> $false)). % 2.07/2.23 tff(formula144, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!63)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!62)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!12)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!26)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!48)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!71)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!55)) | ((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!25)) | ((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!20)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!61)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!73)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!73)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!36)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!38)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!72)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!35)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!18)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!72)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!73)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!54)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!37) & (k!1294(X0) = $i!val!73)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!10)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!14)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!41)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!52))))). % 2.07/2.23 tff(formula145, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!62)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!48)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!71)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!37) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!35)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!54)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!41)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!52))))). % 2.07/2.23 tff(formula146, axiom, % 2.07/2.23 ![X0: $i] : (c7_1(X0) <=> ((k!1295(X0) = $i!val!7) | (k!1295(X0) = $i!val!8) | (k!1295(X0) = $i!val!11) | (k!1295(X0) = $i!val!44)))). % 2.07/2.23 tff(formula147, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!2)) | ((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!43)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!37) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!42) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!72)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!72)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!69))))). % 2.07/2.23 tff(formula148, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!20)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!72)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!69))))). % 2.07/2.23 tff(formula149, axiom, % 2.07/2.23 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!26)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!10)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!33)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!52)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!20)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!57)) | ((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69)) | ((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!66)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!28)) | ((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!10)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!25)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!51)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!13)) | ((k!1295(X1) = $i!val!1) & (k!1294(X0) = $i!val!3)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!12))))). % 2.07/2.24 tff(formula150, axiom, % 2.07/2.24 ![X0: $i] : (c6_1(X0) <=> (k!1295(X0) = $i!val!46))). % 2.07/2.24 tff(formula151, axiom, % 2.07/2.24 ![X0: $i] : (c8_1(X0) <=> (~(k!1295(X0) = $i!val!29)))). % 2.07/2.24 tff(formula152, axiom, % 2.07/2.24 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((~((k!1295(X1) = $i!val!31) & (k!1294(X0) = $i!val!56))) & (~((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!72))) & (~((k!1295(X1) = $i!val!7) & (k!1294(X0) = $i!val!69))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!20))) & (~((k!1295(X1) = $i!val!47) & (k!1294(X0) = $i!val!69))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!54))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!52))) & (~((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!13))) & (~((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!26))) & (~((k!1295(X1) = $i!val!9) & (k!1294(X0) = $i!val!10)))))). % 2.07/2.24 tff(formula153, axiom, % 2.07/2.24 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!1295(X1) = $i!val!23) & (k!1294(X0) = $i!val!26)) | ((k!1295(X1) = $i!val!46) & (k!1294(X0) = $i!val!62)) | ((k!1295(X1) = $i!val!45) & (k!1294(X0) = $i!val!62)) | ((k!1295(X1) = $i!val!27) & (k!1294(X0) = $i!val!73)) | ((k!1295(X1) = $i!val!11) & (k!1294(X0) = $i!val!56)) | ((k!1295(X1) = $i!val!19) & (k!1294(X0) = $i!val!55))))). % 2.07/2.24 tff(formula154, axiom, % 2.07/2.24 k!1295($i!val!16) = $i!val!16). % 2.07/2.24 tff(formula155, axiom, % 2.07/2.24 k!1295($i!val!21) = $i!val!21). % 2.07/2.24 tff(formula156, axiom, % 2.07/2.24 k!1295($i!val!32) = $i!val!32). % 2.07/2.24 tff(formula157, axiom, % 2.07/2.24 k!1295($i!val!40) = $i!val!40). % 2.07/2.24 tff(formula158, axiom, % 2.07/2.24 k!1295($i!val!8) = $i!val!8). % 2.07/2.24 tff(formula159, axiom, % 2.07/2.24 k!1295($i!val!7) = $i!val!7). % 2.07/2.24 tff(formula160, axiom, % 2.07/2.24 k!1295($i!val!0) = $i!val!0). % 2.07/2.24 tff(formula161, axiom, % 2.07/2.24 k!1295($i!val!45) = $i!val!45). % 2.07/2.24 tff(formula162, axiom, % 2.07/2.24 k!1295($i!val!27) = $i!val!27). % 2.07/2.24 tff(formula163, axiom, % 2.07/2.24 k!1295($i!val!4) = $i!val!4). % 2.07/2.24 tff(formula164, axiom, % 2.07/2.24 k!1295($i!val!5) = $i!val!5). % 2.07/2.24 tff(formula165, axiom, % 2.07/2.24 k!1295($i!val!22) = $i!val!22). % 2.07/2.24 tff(formula166, axiom, % 2.07/2.24 k!1295($i!val!23) = $i!val!23). % 2.07/2.24 tff(formula167, axiom, % 2.07/2.24 k!1295($i!val!19) = $i!val!19). % 2.07/2.24 tff(formula168, axiom, % 2.07/2.24 k!1295($i!val!11) = $i!val!11). % 2.07/2.24 tff(formula169, axiom, % 2.07/2.24 k!1295($i!val!9) = $i!val!9). % 2.07/2.24 tff(formula170, axiom, % 2.07/2.24 k!1295($i!val!31) = $i!val!31). % 2.07/2.24 tff(formula171, axiom, % 2.07/2.24 k!1295($i!val!37) = $i!val!37). % 2.07/2.24 tff(formula172, axiom, % 2.07/2.24 k!1295($i!val!1) = $i!val!1). % 2.07/2.24 tff(formula173, axiom, % 2.07/2.24 k!1295($i!val!42) = $i!val!42). % 2.07/2.24 tff(formula174, axiom, % 2.07/2.24 k!1295($i!val!47) = $i!val!47). % 2.07/2.24 tff(formula175, axiom, % 2.07/2.24 k!1295($i!val!44) = $i!val!44). % 2.07/2.24 tff(formula176, axiom, % 2.07/2.24 k!1295($i!val!6) = $i!val!6). % 2.07/2.24 tff(formula177, axiom, % 2.07/2.24 k!1295($i!val!46) = $i!val!46). % 2.07/2.24 tff(formula178, axiom, % 2.07/2.24 k!1295($i!val!34) = $i!val!34). % 2.07/2.24 tff(formula179, axiom, % 2.07/2.24 k!1295($i!val!29) = $i!val!29). % 2.07/2.24 tff(formula180, axiom, % 2.07/2.24 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!21 = X0)) | (($i!val!32 = X0)) | (($i!val!40 = X0)) | (($i!val!8 = X0)) | (($i!val!7 = X0)) | (($i!val!0 = X0)) | (($i!val!45 = X0)) | (($i!val!27 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!22 = X0)) | (($i!val!23 = X0)) | (($i!val!19 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!31 = X0)) | (($i!val!37 = X0)) | (($i!val!1 = X0)) | (($i!val!42 = X0)) | (($i!val!47 = X0)) | (($i!val!44 = X0)) | (($i!val!6 = X0)) | (($i!val!46 = X0)) | (($i!val!34 = X0)) | (($i!val!29 = X0)))) => (k!1295(X0) = $i!val!30))). % 2.07/2.24 % SZS output end Model % 2.07/2.24 % E exiting %------------------------------------------------------------------------------