%------------------------------------------------------------------------------ % 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 : n001.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 : Satisfiable 3.35s 3.59s % Output : Model 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN418-1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n001.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:38:20 EDT 2025 % 0.11/0.33 % CPUTime : % 3.35/3.59 % SZS status Satisfiable % 3.35/3.59 % SZS output start Model % 3.35/3.59 tff(tptp_fun__i_val_8_type, type, ( % 3.35/3.59 tptp_fun__i_val_8: $i)). % 3.35/3.59 tff(a59_type, type, ( % 3.35/3.59 a59: $i)). % 3.35/3.59 tff(tptp_fun__i_val_31_type, type, ( % 3.35/3.59 tptp_fun__i_val_31: $i)). % 3.35/3.59 tff(a92_type, type, ( % 3.35/3.59 a92: $i)). % 3.35/3.59 tff(c9_0_type, type, ( % 3.35/3.59 c9_0: $o)). % 3.35/3.59 tff(tptp_fun__i_val_56_type, type, ( % 3.35/3.59 tptp_fun__i_val_56: $i)). % 3.35/3.59 tff(a111_type, type, ( % 3.35/3.59 a111: $i)). % 3.35/3.59 tff(ssSkC13_type, type, ( % 3.35/3.59 ssSkC13: $o)). % 3.35/3.59 tff(tptp_fun__i_val_39_type, type, ( % 3.35/3.59 tptp_fun__i_val_39: $i)). % 3.35/3.59 tff(a58_type, type, ( % 3.35/3.59 a58: $i)). % 3.35/3.59 tff(tptp_fun__i_val_1_type, type, ( % 3.35/3.59 tptp_fun__i_val_1: $i)). % 3.35/3.59 tff(a50_type, type, ( % 3.35/3.59 a50: $i)). % 3.35/3.59 tff(tptp_fun__i_val_19_type, type, ( % 3.35/3.59 tptp_fun__i_val_19: $i)). % 3.35/3.59 tff(a44_type, type, ( % 3.35/3.59 a44: $i)). % 3.35/3.59 tff(c8_0_type, type, ( % 3.35/3.59 c8_0: $o)). % 3.35/3.59 tff(ssSkC21_type, type, ( % 3.35/3.59 ssSkC21: $o)). % 3.35/3.59 tff(a122_type, type, ( % 3.35/3.59 a122: $i)). % 3.35/3.59 tff(tptp_fun__i_val_28_type, type, ( % 3.35/3.59 tptp_fun__i_val_28: $i)). % 3.35/3.59 tff(a28_type, type, ( % 3.35/3.59 a28: $i)). % 3.35/3.59 tff(tptp_fun__i_val_54_type, type, ( % 3.35/3.59 tptp_fun__i_val_54: $i)). % 3.35/3.59 tff(a14_type, type, ( % 3.35/3.59 a14: $i)). % 3.35/3.59 tff(tptp_fun__i_val_32_type, type, ( % 3.35/3.59 tptp_fun__i_val_32: $i)). % 3.35/3.59 tff(a40_type, type, ( % 3.35/3.59 a40: $i)). % 3.35/3.59 tff(c10_0_type, type, ( % 3.35/3.59 c10_0: $o)). % 3.35/3.59 tff(ssSkC28_type, type, ( % 3.35/3.59 ssSkC28: $o)). % 3.35/3.59 tff(tptp_fun__i_val_7_type, type, ( % 3.35/3.59 tptp_fun__i_val_7: $i)). % 3.35/3.59 tff(a31_type, type, ( % 3.35/3.59 a31: $i)). % 3.35/3.59 tff(tptp_fun__i_val_9_type, type, ( % 3.35/3.59 tptp_fun__i_val_9: $i)). % 3.35/3.59 tff(a16_type, type, ( % 3.35/3.59 a16: $i)). % 3.35/3.59 tff(c1_0_type, type, ( % 3.35/3.59 c1_0: $o)). % 3.35/3.59 tff(ssSkC23_type, type, ( % 3.35/3.59 ssSkC23: $o)). % 3.35/3.59 tff(a46_type, type, ( % 3.35/3.59 a46: $i)). % 3.35/3.59 tff(tptp_fun__i_val_37_type, type, ( % 3.35/3.59 tptp_fun__i_val_37: $i)). % 3.35/3.59 tff(a3_type, type, ( % 3.35/3.59 a3: $i)). % 3.35/3.59 tff(a4_type, type, ( % 3.35/3.59 a4: $i)). % 3.35/3.59 tff(tptp_fun__i_val_10_type, type, ( % 3.35/3.59 tptp_fun__i_val_10: $i)). % 3.35/3.59 tff(a12_type, type, ( % 3.35/3.59 a12: $i)). % 3.35/3.59 tff(a26_type, type, ( % 3.35/3.59 a26: $i)). % 3.35/3.59 tff(a134_type, type, ( % 3.35/3.59 a134: $i)). % 3.35/3.59 tff(tptp_fun__i_val_20_type, type, ( % 3.35/3.59 tptp_fun__i_val_20: $i)). % 3.35/3.59 tff(a48_type, type, ( % 3.35/3.59 a48: $i)). % 3.35/3.59 tff(tptp_fun__i_val_18_type, type, ( % 3.35/3.59 tptp_fun__i_val_18: $i)). % 3.35/3.59 tff(a75_type, type, ( % 3.35/3.59 a75: $i)). % 3.35/3.59 tff(ssSkC2_type, type, ( % 3.35/3.59 ssSkC2: $o)). % 3.35/3.59 tff(c4_0_type, type, ( % 3.35/3.59 c4_0: $o)). % 3.35/3.59 tff(tptp_fun__i_val_13_type, type, ( % 3.35/3.59 tptp_fun__i_val_13: $i)). % 3.35/3.59 tff(a51_type, type, ( % 3.35/3.59 a51: $i)). % 3.35/3.59 tff(ssSkC9_type, type, ( % 3.35/3.59 ssSkC9: $o)). % 3.35/3.59 tff(ssSkC17_type, type, ( % 3.35/3.59 ssSkC17: $o)). % 3.35/3.59 tff(ssSkC12_type, type, ( % 3.35/3.59 ssSkC12: $o)). % 3.35/3.59 tff(tptp_fun__i_val_24_type, type, ( % 3.35/3.59 tptp_fun__i_val_24: $i)). % 3.35/3.59 tff(a34_type, type, ( % 3.35/3.59 a34: $i)). % 3.35/3.59 tff(tptp_fun__i_val_35_type, type, ( % 3.35/3.59 tptp_fun__i_val_35: $i)). % 3.35/3.59 tff(a60_type, type, ( % 3.35/3.59 a60: $i)). % 3.35/3.59 tff(ssSkC30_type, type, ( % 3.35/3.59 ssSkC30: $o)). % 3.35/3.59 tff(tptp_fun__i_val_48_type, type, ( % 3.35/3.59 tptp_fun__i_val_48: $i)). % 3.35/3.59 tff(a61_type, type, ( % 3.35/3.59 a61: $i)). % 3.35/3.59 tff(a49_type, type, ( % 3.35/3.59 a49: $i)). % 3.35/3.59 tff(a89_type, type, ( % 3.35/3.59 a89: $i)). % 3.35/3.59 tff(tptp_fun__i_val_33_type, type, ( % 3.35/3.59 tptp_fun__i_val_33: $i)). % 3.35/3.59 tff(a53_type, type, ( % 3.35/3.59 a53: $i)). % 3.35/3.59 tff(tptp_fun__i_val_12_type, type, ( % 3.35/3.59 tptp_fun__i_val_12: $i)). % 3.35/3.59 tff(a6_type, type, ( % 3.35/3.59 a6: $i)). % 3.35/3.59 tff(ndr1_0_type, type, ( % 3.35/3.59 ndr1_0: $o)). % 3.35/3.59 tff(c3_0_type, type, ( % 3.35/3.59 c3_0: $o)). % 3.35/3.59 tff(ssSkC25_type, type, ( % 3.35/3.59 ssSkC25: $o)). % 3.35/3.59 tff(ssSkC7_type, type, ( % 3.35/3.59 ssSkC7: $o)). % 3.35/3.59 tff(tptp_fun__i_val_22_type, type, ( % 3.35/3.59 tptp_fun__i_val_22: $i)). % 3.35/3.59 tff(a41_type, type, ( % 3.35/3.59 a41: $i)). % 3.35/3.59 tff(a69_type, type, ( % 3.35/3.59 a69: $i)). % 3.35/3.59 tff(tptp_fun__i_val_52_type, type, ( % 3.35/3.59 tptp_fun__i_val_52: $i)). % 3.35/3.59 tff(a72_type, type, ( % 3.35/3.59 a72: $i)). % 3.35/3.59 tff(tptp_fun__i_val_51_type, type, ( % 3.35/3.59 tptp_fun__i_val_51: $i)). % 3.35/3.59 tff(a71_type, type, ( % 3.35/3.59 a71: $i)). % 3.35/3.59 tff(a79_type, type, ( % 3.35/3.59 a79: $i)). % 3.35/3.59 tff(ssSkC6_type, type, ( % 3.35/3.59 ssSkC6: $o)). % 3.35/3.59 tff(ssSkC8_type, type, ( % 3.35/3.59 ssSkC8: $o)). % 3.35/3.59 tff(tptp_fun__i_val_3_type, type, ( % 3.35/3.59 tptp_fun__i_val_3: $i)). % 3.35/3.59 tff(a66_type, type, ( % 3.35/3.59 a66: $i)). % 3.35/3.59 tff(tptp_fun__i_val_55_type, type, ( % 3.35/3.59 tptp_fun__i_val_55: $i)). % 3.35/3.59 tff(a142_type, type, ( % 3.35/3.59 a142: $i)). % 3.35/3.59 tff(tptp_fun__i_val_15_type, type, ( % 3.35/3.59 tptp_fun__i_val_15: $i)). % 3.35/3.59 tff(a64_type, type, ( % 3.35/3.59 a64: $i)). % 3.35/3.59 tff(a132_type, type, ( % 3.35/3.59 a132: $i)). % 3.35/3.59 tff(tptp_fun__i_val_58_type, type, ( % 3.35/3.59 tptp_fun__i_val_58: $i)). % 3.35/3.59 tff(a11_type, type, ( % 3.35/3.59 a11: $i)). % 3.35/3.59 tff(a65_type, type, ( % 3.35/3.59 a65: $i)). % 3.35/3.59 tff(a100_type, type, ( % 3.35/3.59 a100: $i)). % 3.35/3.59 tff(a76_type, type, ( % 3.35/3.59 a76: $i)). % 3.35/3.59 tff(tptp_fun__i_val_0_type, type, ( % 3.35/3.59 tptp_fun__i_val_0: $i)). % 3.35/3.59 tff(a85_type, type, ( % 3.35/3.59 a85: $i)). % 3.35/3.59 tff(tptp_fun__i_val_42_type, type, ( % 3.35/3.59 tptp_fun__i_val_42: $i)). % 3.35/3.59 tff(a118_type, type, ( % 3.35/3.59 a118: $i)). % 3.35/3.59 tff(tptp_fun__i_val_17_type, type, ( % 3.35/3.59 tptp_fun__i_val_17: $i)). % 3.35/3.59 tff(a121_type, type, ( % 3.35/3.59 a121: $i)). % 3.35/3.59 tff(c5_0_type, type, ( % 3.35/3.59 c5_0: $o)). % 3.35/3.59 tff(a80_type, type, ( % 3.35/3.59 a80: $i)). % 3.35/3.59 tff(a84_type, type, ( % 3.35/3.59 a84: $i)). % 3.35/3.59 tff(tptp_fun__i_val_14_type, type, ( % 3.35/3.59 tptp_fun__i_val_14: $i)). % 3.35/3.59 tff(a126_type, type, ( % 3.35/3.59 a126: $i)). % 3.35/3.59 tff(a87_type, type, ( % 3.35/3.59 a87: $i)). % 3.35/3.59 tff(a62_type, type, ( % 3.35/3.59 a62: $i)). % 3.35/3.59 tff(a56_type, type, ( % 3.35/3.59 a56: $i)). % 3.35/3.59 tff(ssSkC24_type, type, ( % 3.35/3.59 ssSkC24: $o)). % 3.35/3.59 tff(tptp_fun__i_val_6_type, type, ( % 3.35/3.59 tptp_fun__i_val_6: $i)). % 3.35/3.59 tff(a33_type, type, ( % 3.35/3.59 a33: $i)). % 3.35/3.59 tff(tptp_fun__i_val_53_type, type, ( % 3.35/3.59 tptp_fun__i_val_53: $i)). % 3.35/3.59 tff(a129_type, type, ( % 3.35/3.59 a129: $i)). % 3.35/3.59 tff(tptp_fun__i_val_5_type, type, ( % 3.35/3.59 tptp_fun__i_val_5: $i)). % 3.35/3.59 tff(a37_type, type, ( % 3.35/3.59 a37: $i)). % 3.35/3.59 tff(ssSkC4_type, type, ( % 3.35/3.59 ssSkC4: $o)). % 3.35/3.59 tff(tptp_fun__i_val_44_type, type, ( % 3.35/3.59 tptp_fun__i_val_44: $i)). % 3.35/3.59 tff(a73_type, type, ( % 3.35/3.59 a73: $i)). % 3.35/3.59 tff(ssSkC15_type, type, ( % 3.35/3.59 ssSkC15: $o)). % 3.35/3.59 tff(ssSkC29_type, type, ( % 3.35/3.59 ssSkC29: $o)). % 3.35/3.59 tff(c7_0_type, type, ( % 3.35/3.59 c7_0: $o)). % 3.35/3.59 tff(tptp_fun__i_val_16_type, type, ( % 3.35/3.59 tptp_fun__i_val_16: $i)). % 3.35/3.59 tff(a98_type, type, ( % 3.35/3.59 a98: $i)). % 3.35/3.59 tff(tptp_fun__i_val_21_type, type, ( % 3.35/3.59 tptp_fun__i_val_21: $i)). % 3.35/3.59 tff(a47_type, type, ( % 3.35/3.59 a47: $i)). % 3.35/3.59 tff(tptp_fun__i_val_30_type, type, ( % 3.35/3.59 tptp_fun__i_val_30: $i)). % 3.35/3.59 tff(a18_type, type, ( % 3.35/3.59 a18: $i)). % 3.35/3.59 tff(tptp_fun__i_val_49_type, type, ( % 3.35/3.59 tptp_fun__i_val_49: $i)). % 3.35/3.59 tff(a131_type, type, ( % 3.35/3.59 a131: $i)). % 3.35/3.59 tff(a1_type, type, ( % 3.35/3.59 a1: $i)). % 3.35/3.59 tff(ssSkC20_type, type, ( % 3.35/3.59 ssSkC20: $o)). % 3.35/3.59 tff(ssSkC1_type, type, ( % 3.35/3.59 ssSkC1: $o)). % 3.35/3.59 tff(a83_type, type, ( % 3.35/3.59 a83: $i)). % 3.35/3.59 tff(tptp_fun__i_val_50_type, type, ( % 3.35/3.59 tptp_fun__i_val_50: $i)). % 3.35/3.59 tff(a82_type, type, ( % 3.35/3.59 a82: $i)). % 3.35/3.59 tff(a43_type, type, ( % 3.35/3.59 a43: $i)). % 3.35/3.60 tff(ssSkC19_type, type, ( % 3.35/3.60 ssSkC19: $o)). % 3.35/3.60 tff(a123_type, type, ( % 3.35/3.60 a123: $i)). % 3.35/3.60 tff(tptp_fun__i_val_2_type, type, ( % 3.35/3.60 tptp_fun__i_val_2: $i)). % 3.35/3.60 tff(a68_type, type, ( % 3.35/3.60 a68: $i)). % 3.35/3.60 tff(a55_type, type, ( % 3.35/3.60 a55: $i)). % 3.35/3.60 tff(ssSkC22_type, type, ( % 3.35/3.60 ssSkC22: $o)). % 3.35/3.60 tff(a42_type, type, ( % 3.35/3.60 a42: $i)). % 3.35/3.60 tff(a52_type, type, ( % 3.35/3.60 a52: $i)). % 3.35/3.60 tff(ssSkC26_type, type, ( % 3.35/3.60 ssSkC26: $o)). % 3.35/3.60 tff(a74_type, type, ( % 3.35/3.60 a74: $i)). % 3.35/3.60 tff(a97_type, type, ( % 3.35/3.60 a97: $i)). % 3.35/3.60 tff(a108_type, type, ( % 3.35/3.60 a108: $i)). % 3.35/3.60 tff(tptp_fun__i_val_34_type, type, ( % 3.35/3.60 tptp_fun__i_val_34: $i)). % 3.35/3.60 tff(a54_type, type, ( % 3.35/3.60 a54: $i)). % 3.35/3.60 tff(ssSkC14_type, type, ( % 3.35/3.60 ssSkC14: $o)). % 3.35/3.60 tff(tptp_fun__i_val_57_type, type, ( % 3.35/3.60 tptp_fun__i_val_57: $i)). % 3.35/3.60 tff(a24_type, type, ( % 3.35/3.60 a24: $i)). % 3.35/3.60 tff(tptp_fun__i_val_36_type, type, ( % 3.35/3.60 tptp_fun__i_val_36: $i)). % 3.35/3.60 tff(a57_type, type, ( % 3.35/3.60 a57: $i)). % 3.35/3.60 tff(tptp_fun__i_val_23_type, type, ( % 3.35/3.60 tptp_fun__i_val_23: $i)). % 3.35/3.60 tff(a38_type, type, ( % 3.35/3.60 a38: $i)). % 3.35/3.60 tff(a130_type, type, ( % 3.35/3.60 a130: $i)). % 3.35/3.60 tff(a70_type, type, ( % 3.35/3.60 a70: $i)). % 3.35/3.60 tff(tptp_fun__i_val_40_type, type, ( % 3.35/3.60 tptp_fun__i_val_40: $i)). % 3.35/3.60 tff(a145_type, type, ( % 3.35/3.60 a145: $i)). % 3.35/3.60 tff(a86_type, type, ( % 3.35/3.60 a86: $i)). % 3.35/3.60 tff(ssSkC3_type, type, ( % 3.35/3.60 ssSkC3: $o)). % 3.35/3.60 tff(a114_type, type, ( % 3.35/3.60 a114: $i)). % 3.35/3.60 tff(c2_0_type, type, ( % 3.35/3.60 c2_0: $o)). % 3.35/3.60 tff(c6_0_type, type, ( % 3.35/3.60 c6_0: $o)). % 3.35/3.60 tff(ssSkC11_type, type, ( % 3.35/3.60 ssSkC11: $o)). % 3.35/3.60 tff(tptp_fun__i_val_25_type, type, ( % 3.35/3.60 tptp_fun__i_val_25: $i)). % 3.35/3.60 tff(a17_type, type, ( % 3.35/3.60 a17: $i)). % 3.35/3.60 tff(a15_type, type, ( % 3.35/3.60 a15: $i)). % 3.35/3.60 tff(a104_type, type, ( % 3.35/3.60 a104: $i)). % 3.35/3.60 tff(ssSkC5_type, type, ( % 3.35/3.60 ssSkC5: $o)). % 3.35/3.60 tff(ssSkC18_type, type, ( % 3.35/3.60 ssSkC18: $o)). % 3.35/3.60 tff(a39_type, type, ( % 3.35/3.60 a39: $i)). % 3.35/3.60 tff(ssSkC0_type, type, ( % 3.35/3.60 ssSkC0: $o)). % 3.35/3.60 tff(ssSkC27_type, type, ( % 3.35/3.60 ssSkC27: $o)). % 3.35/3.60 tff(a5_type, type, ( % 3.35/3.60 a5: $i)). % 3.35/3.60 tff(a146_type, type, ( % 3.35/3.60 a146: $i)). % 3.35/3.60 tff(ssSkC16_type, type, ( % 3.35/3.60 ssSkC16: $o)). % 3.35/3.60 tff(ssSkC10_type, type, ( % 3.35/3.60 ssSkC10: $o)). % 3.35/3.60 tff(tptp_fun__i_val_41_type, type, ( % 3.35/3.60 tptp_fun__i_val_41: $i)). % 3.35/3.60 tff(a138_type, type, ( % 3.35/3.60 a138: $i)). % 3.35/3.60 tff(tptp_fun__i_val_4_type, type, ( % 3.35/3.60 tptp_fun__i_val_4: $i)). % 3.35/3.60 tff(a45_type, type, ( % 3.35/3.60 a45: $i)). % 3.35/3.60 tff(a63_type, type, ( % 3.35/3.60 a63: $i)). % 3.35/3.60 tff(a133_type, type, ( % 3.35/3.60 a133: $i)). % 3.35/3.60 tff(a19_type, type, ( % 3.35/3.60 a19: $i)). % 3.35/3.60 tff(tptp_fun__i_val_26_type, type, ( % 3.35/3.60 tptp_fun__i_val_26: $i)). % 3.35/3.60 tff(a2_type, type, ( % 3.35/3.60 a2: $i)). % 3.35/3.60 tff(a119_type, type, ( % 3.35/3.60 a119: $i)). % 3.35/3.60 tff(tptp_fun__i_val_43_type, type, ( % 3.35/3.60 tptp_fun__i_val_43: $i)). % 3.35/3.60 tff(a67_type, type, ( % 3.35/3.60 a67: $i)). % 3.35/3.60 tff(tptp_fun__i_val_27_type, type, ( % 3.35/3.60 tptp_fun__i_val_27: $i)). % 3.35/3.60 tff(a127_type, type, ( % 3.35/3.60 a127: $i)). % 3.35/3.60 tff(tptp_fun__i_val_45_type, type, ( % 3.35/3.60 tptp_fun__i_val_45: $i)). % 3.35/3.60 tff(a22_type, type, ( % 3.35/3.60 a22: $i)). % 3.35/3.60 tff(a128_type, type, ( % 3.35/3.60 a128: $i)). % 3.35/3.60 tff(tptp_fun__i_val_47_type, type, ( % 3.35/3.60 tptp_fun__i_val_47: $i)). % 3.35/3.60 tff(a23_type, type, ( % 3.35/3.60 a23: $i)). % 3.35/3.60 tff(tptp_fun__i_val_11_type, type, ( % 3.35/3.60 tptp_fun__i_val_11: $i)). % 3.35/3.60 tff(a9_type, type, ( % 3.35/3.60 a9: $i)). % 3.35/3.60 tff(a116_type, type, ( % 3.35/3.60 a116: $i)). % 3.35/3.60 tff(tptp_fun__i_val_29_type, type, ( % 3.35/3.60 tptp_fun__i_val_29: $i)). % 3.35/3.60 tff(a112_type, type, ( % 3.35/3.60 a112: $i)). % 3.35/3.60 tff(tptp_fun__i_val_38_type, type, ( % 3.35/3.60 tptp_fun__i_val_38: $i)). % 3.35/3.60 tff(a25_type, type, ( % 3.35/3.60 a25: $i)). % 3.35/3.60 tff(tptp_fun__i_val_46_type, type, ( % 3.35/3.60 tptp_fun__i_val_46: $i)). % 3.35/3.60 tff(a81_type, type, ( % 3.35/3.60 a81: $i)). % 3.35/3.60 tff(ssSkP7_type, type, ( % 3.35/3.60 ssSkP7: $i > $o)). % 3.35/3.60 tff(k!3329_type, type, ( % 3.35/3.60 k!3329: $i > $i)). % 3.35/3.60 tff(c10_1_type, type, ( % 3.35/3.60 c10_1: $i > $o)). % 3.35/3.60 tff(c5_1_type, type, ( % 3.35/3.60 c5_1: $i > $o)). % 3.35/3.60 tff(ssSkP0_type, type, ( % 3.35/3.60 ssSkP0: $i > $o)). % 3.35/3.60 tff(c2_1_type, type, ( % 3.35/3.60 c2_1: $i > $o)). % 3.35/3.60 tff(k!3330_type, type, ( % 3.35/3.60 k!3330: $i > $i)). % 3.35/3.60 tff(c10_2_type, type, ( % 3.35/3.60 c10_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c4_1_type, type, ( % 3.35/3.60 c4_1: $i > $o)). % 3.35/3.60 tff(c9_1_type, type, ( % 3.35/3.60 c9_1: $i > $o)). % 3.35/3.60 tff(ssSkP1_type, type, ( % 3.35/3.60 ssSkP1: $i > $o)). % 3.35/3.60 tff(c3_2_type, type, ( % 3.35/3.60 c3_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(ssSkP4_type, type, ( % 3.35/3.60 ssSkP4: $i > $o)). % 3.35/3.60 tff(c4_2_type, type, ( % 3.35/3.60 c4_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c7_1_type, type, ( % 3.35/3.60 c7_1: $i > $o)). % 3.35/3.60 tff(c5_2_type, type, ( % 3.35/3.60 c5_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c2_2_type, type, ( % 3.35/3.60 c2_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(ssSkP3_type, type, ( % 3.35/3.60 ssSkP3: $i > $o)). % 3.35/3.60 tff(ndr1_1_type, type, ( % 3.35/3.60 ndr1_1: $i > $o)). % 3.35/3.60 tff(c7_2_type, type, ( % 3.35/3.60 c7_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c3_1_type, type, ( % 3.35/3.60 c3_1: $i > $o)). % 3.35/3.60 tff(c1_2_type, type, ( % 3.35/3.60 c1_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c1_1_type, type, ( % 3.35/3.60 c1_1: $i > $o)). % 3.35/3.60 tff(ssSkP2_type, type, ( % 3.35/3.60 ssSkP2: $i > $o)). % 3.35/3.60 tff(c9_2_type, type, ( % 3.35/3.60 c9_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c8_2_type, type, ( % 3.35/3.60 c8_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(c8_1_type, type, ( % 3.35/3.60 c8_1: $i > $o)). % 3.35/3.60 tff(c6_1_type, type, ( % 3.35/3.60 c6_1: $i > $o)). % 3.35/3.60 tff(c6_2_type, type, ( % 3.35/3.60 c6_2: ( $i * $i ) > $o)). % 3.35/3.60 tff(ssSkP6_type, type, ( % 3.35/3.60 ssSkP6: $i > $o)). % 3.35/3.60 tff(ssSkP5_type, type, ( % 3.35/3.60 ssSkP5: $i > $o)). % 3.35/3.60 tff(formula1, axiom, % 3.35/3.60 a59 = $i!val!8). % 3.35/3.60 tff(formula2, axiom, % 3.35/3.60 a92 = $i!val!31). % 3.35/3.60 tff(formula3, axiom, % 3.35/3.60 c9_0 <=> $false). % 3.35/3.60 tff(formula4, axiom, % 3.35/3.60 a111 = $i!val!56). % 3.35/3.60 tff(formula5, axiom, % 3.35/3.60 ssSkC13 <=> $false). % 3.35/3.60 tff(formula6, axiom, % 3.35/3.60 a58 = $i!val!39). % 3.35/3.60 tff(formula7, axiom, % 3.35/3.60 a50 = $i!val!1). % 3.35/3.60 tff(formula8, axiom, % 3.35/3.60 a44 = $i!val!19). % 3.35/3.60 tff(formula9, axiom, % 3.35/3.60 c8_0 <=> $false). % 3.35/3.60 tff(formula10, axiom, % 3.35/3.60 ssSkC21 <=> $true). % 3.35/3.60 tff(formula11, axiom, % 3.35/3.60 a122 = $i!val!1). % 3.35/3.60 tff(formula12, axiom, % 3.35/3.60 a28 = $i!val!28). % 3.35/3.60 tff(formula13, axiom, % 3.35/3.60 a14 = $i!val!54). % 3.35/3.60 tff(formula14, axiom, % 3.35/3.60 a40 = $i!val!32). % 3.35/3.60 tff(formula15, axiom, % 3.35/3.60 c10_0 <=> $false). % 3.35/3.60 tff(formula16, axiom, % 3.35/3.60 ssSkC28 <=> $true). % 3.35/3.60 tff(formula17, axiom, % 3.35/3.60 a31 = $i!val!7). % 3.35/3.60 tff(formula18, axiom, % 3.35/3.60 a16 = $i!val!9). % 3.35/3.60 tff(formula19, axiom, % 3.35/3.60 c1_0 <=> $true). % 3.35/3.60 tff(formula20, axiom, % 3.35/3.60 ssSkC23 <=> $false). % 3.35/3.60 tff(formula21, axiom, % 3.35/3.60 a46 = $i!val!32). % 3.35/3.60 tff(formula22, axiom, % 3.35/3.60 a3 = $i!val!37). % 3.35/3.60 tff(formula23, axiom, % 3.35/3.60 a4 = $i!val!32). % 3.35/3.60 tff(formula24, axiom, % 3.35/3.60 a12 = $i!val!10). % 3.35/3.60 tff(formula25, axiom, % 3.35/3.60 a26 = $i!val!28). % 3.35/3.60 tff(formula26, axiom, % 3.35/3.60 a134 = $i!val!19). % 3.35/3.60 tff(formula27, axiom, % 3.35/3.60 a48 = $i!val!20). % 3.35/3.60 tff(formula28, axiom, % 3.35/3.60 a75 = $i!val!18). % 3.35/3.60 tff(formula29, axiom, % 3.35/3.60 ssSkC2 <=> $true). % 3.35/3.60 tff(formula30, axiom, % 3.35/3.60 c4_0 <=> $true). % 3.35/3.60 tff(formula31, axiom, % 3.35/3.60 a51 = $i!val!13). % 3.35/3.60 tff(formula32, axiom, % 3.35/3.60 ssSkC9 <=> $false). % 3.35/3.60 tff(formula33, axiom, % 3.35/3.60 ssSkC17 <=> $true). % 3.35/3.60 tff(formula34, axiom, % 3.35/3.60 ssSkC12 <=> $false). % 3.35/3.60 tff(formula35, axiom, % 3.35/3.60 a34 = $i!val!24). % 3.35/3.60 tff(formula36, axiom, % 3.35/3.60 a60 = $i!val!35). % 3.35/3.60 tff(formula37, axiom, % 3.35/3.60 ssSkC30 <=> $true). % 3.35/3.60 tff(formula38, axiom, % 3.35/3.60 a61 = $i!val!48). % 3.35/3.60 tff(formula39, axiom, % 3.35/3.60 a49 = $i!val!1). % 3.35/3.60 tff(formula40, axiom, % 3.35/3.60 a89 = $i!val!8). % 3.35/3.60 tff(formula41, axiom, % 3.35/3.60 a53 = $i!val!33). % 3.35/3.60 tff(formula42, axiom, % 3.35/3.60 a6 = $i!val!12). % 3.35/3.60 tff(formula43, axiom, % 3.35/3.60 ndr1_0 <=> $true). % 3.35/3.60 tff(formula44, axiom, % 3.35/3.60 c3_0 <=> $false). % 3.35/3.60 tff(formula45, axiom, % 3.35/3.60 ssSkC25 <=> $false). % 3.35/3.60 tff(formula46, axiom, % 3.35/3.60 ssSkC7 <=> $false). % 3.35/3.60 tff(formula47, axiom, % 3.35/3.60 a41 = $i!val!22). % 3.35/3.60 tff(formula48, axiom, % 3.35/3.60 a69 = $i!val!31). % 3.35/3.60 tff(formula49, axiom, % 3.35/3.60 a72 = $i!val!52). % 3.35/3.60 tff(formula50, axiom, % 3.35/3.60 a71 = $i!val!51). % 3.35/3.60 tff(formula51, axiom, % 3.35/3.60 a79 = $i!val!28). % 3.35/3.60 tff(formula52, axiom, % 3.35/3.60 ssSkC6 <=> $true). % 3.35/3.60 tff(formula53, axiom, % 3.35/3.60 ssSkC8 <=> $true). % 3.35/3.60 tff(formula54, axiom, % 3.35/3.60 a66 = $i!val!3). % 3.35/3.60 tff(formula55, axiom, % 3.35/3.60 a142 = $i!val!55). % 3.35/3.60 tff(formula56, axiom, % 3.35/3.60 a64 = $i!val!15). % 3.35/3.60 tff(formula57, axiom, % 3.35/3.60 a132 = $i!val!37). % 3.35/3.60 tff(formula58, axiom, % 3.35/3.60 a11 = $i!val!58). % 3.35/3.60 tff(formula59, axiom, % 3.35/3.60 a65 = $i!val!1). % 3.35/3.60 tff(formula60, axiom, % 3.35/3.60 a100 = $i!val!13). % 3.35/3.60 tff(formula61, axiom, % 3.35/3.60 a76 = $i!val!31). % 3.35/3.60 tff(formula62, axiom, % 3.35/3.60 a85 = $i!val!0). % 3.35/3.60 tff(formula63, axiom, % 3.35/3.60 a118 = $i!val!42). % 3.35/3.60 tff(formula64, axiom, % 3.35/3.60 a121 = $i!val!17). % 3.35/3.60 tff(formula65, axiom, % 3.35/3.60 c5_0 <=> $true). % 3.35/3.60 tff(formula66, axiom, % 3.35/3.60 a80 = $i!val!0). % 3.35/3.60 tff(formula67, axiom, % 3.35/3.60 a84 = $i!val!0). % 3.35/3.60 tff(formula68, axiom, % 3.35/3.60 a126 = $i!val!14). % 3.35/3.60 tff(formula69, axiom, % 3.35/3.60 a87 = $i!val!0). % 3.35/3.60 tff(formula70, axiom, % 3.35/3.60 a62 = $i!val!8). % 3.35/3.60 tff(formula71, axiom, % 3.35/3.60 a56 = $i!val!32). % 3.35/3.60 tff(formula72, axiom, % 3.35/3.60 ssSkC24 <=> $false). % 3.35/3.60 tff(formula73, axiom, % 3.35/3.60 a33 = $i!val!6). % 3.35/3.60 tff(formula74, axiom, % 3.35/3.60 a129 = $i!val!53). % 3.35/3.60 tff(formula75, axiom, % 3.35/3.60 a37 = $i!val!5). % 3.35/3.60 tff(formula76, axiom, % 3.35/3.60 ssSkC4 <=> $false). % 3.35/3.60 tff(formula77, axiom, % 3.35/3.60 a73 = $i!val!44). % 3.35/3.60 tff(formula78, axiom, % 3.35/3.60 ssSkC15 <=> $true). % 3.35/3.60 tff(formula79, axiom, % 3.35/3.60 ssSkC29 <=> $false). % 3.35/3.60 tff(formula80, axiom, % 3.35/3.60 c7_0 <=> $false). % 3.35/3.60 tff(formula81, axiom, % 3.35/3.60 a98 = $i!val!16). % 3.35/3.60 tff(formula82, axiom, % 3.35/3.60 a47 = $i!val!21). % 3.35/3.60 tff(formula83, axiom, % 3.35/3.60 a18 = $i!val!30). % 3.35/3.60 tff(formula84, axiom, % 3.35/3.60 a131 = $i!val!49). % 3.35/3.60 tff(formula85, axiom, % 3.35/3.60 a1 = $i!val!13). % 3.35/3.60 tff(formula86, axiom, % 3.35/3.60 ssSkC20 <=> $false). % 3.35/3.60 tff(formula87, axiom, % 3.35/3.60 ssSkC1 <=> $false). % 3.35/3.60 tff(formula88, axiom, % 3.35/3.60 a83 = $i!val!31). % 3.35/3.60 tff(formula89, axiom, % 3.35/3.60 a82 = $i!val!50). % 3.35/3.60 tff(formula90, axiom, % 3.35/3.60 a43 = $i!val!37). % 3.35/3.60 tff(formula91, axiom, % 3.35/3.60 ssSkC19 <=> $true). % 3.35/3.60 tff(formula92, axiom, % 3.35/3.60 a123 = $i!val!0). % 3.35/3.60 tff(formula93, axiom, % 3.35/3.60 a68 = $i!val!2). % 3.35/3.60 tff(formula94, axiom, % 3.35/3.60 a55 = $i!val!19). % 3.35/3.60 tff(formula95, axiom, % 3.35/3.60 ssSkC22 <=> $true). % 3.35/3.60 tff(formula96, axiom, % 3.35/3.60 a42 = $i!val!31). % 3.35/3.60 tff(formula97, axiom, % 3.35/3.60 a52 = $i!val!13). % 3.35/3.60 tff(formula98, axiom, % 3.35/3.60 ssSkC26 <=> $true). % 3.35/3.60 tff(formula99, axiom, % 3.35/3.60 a74 = $i!val!19). % 3.35/3.60 tff(formula100, axiom, % 3.35/3.60 a97 = $i!val!1). % 3.35/3.60 tff(formula101, axiom, % 3.35/3.60 a108 = $i!val!15). % 3.35/3.60 tff(formula102, axiom, % 3.35/3.60 a54 = $i!val!34). % 3.35/3.60 tff(formula103, axiom, % 3.35/3.60 ssSkC14 <=> $false). % 3.35/3.60 tff(formula104, axiom, % 3.35/3.60 a24 = $i!val!57). % 3.35/3.60 tff(formula105, axiom, % 3.35/3.60 a57 = $i!val!36). % 3.35/3.60 tff(formula106, axiom, % 3.35/3.60 a38 = $i!val!23). % 3.35/3.60 tff(formula107, axiom, % 3.35/3.60 a130 = $i!val!28). % 3.35/3.60 tff(formula108, axiom, % 3.35/3.60 a70 = $i!val!15). % 3.35/3.60 tff(formula109, axiom, % 3.35/3.60 a145 = $i!val!40). % 3.35/3.60 tff(formula110, axiom, % 3.35/3.60 a86 = $i!val!8). % 3.35/3.60 tff(formula111, axiom, % 3.35/3.60 ssSkC3 <=> $true). % 3.35/3.60 tff(formula112, axiom, % 3.35/3.60 a114 = $i!val!8). % 3.35/3.60 tff(formula113, axiom, % 3.35/3.60 c2_0 <=> $true). % 3.35/3.60 tff(formula114, axiom, % 3.35/3.60 c6_0 <=> $false). % 3.35/3.60 tff(formula115, axiom, % 3.35/3.60 ssSkC11 <=> $false). % 3.35/3.60 tff(formula116, axiom, % 3.35/3.60 a17 = $i!val!25). % 3.35/3.60 tff(formula117, axiom, % 3.35/3.60 a15 = $i!val!1). % 3.35/3.60 tff(formula118, axiom, % 3.35/3.60 a104 = $i!val!0). % 3.35/3.60 tff(formula119, axiom, % 3.35/3.60 ssSkC5 <=> $true). % 3.35/3.60 tff(formula120, axiom, % 3.35/3.60 ssSkC18 <=> $true). % 3.35/3.60 tff(formula121, axiom, % 3.35/3.60 a39 = $i!val!19). % 3.35/3.60 tff(formula122, axiom, % 3.35/3.60 ssSkC0 <=> $false). % 3.35/3.60 tff(formula123, axiom, % 3.35/3.60 ssSkC27 <=> $false). % 3.35/3.60 tff(formula124, axiom, % 3.35/3.60 a5 = $i!val!32). % 3.35/3.60 tff(formula125, axiom, % 3.35/3.60 a146 = $i!val!1). % 3.35/3.60 tff(formula126, axiom, % 3.35/3.60 ssSkC16 <=> $false). % 3.35/3.60 tff(formula127, axiom, % 3.35/3.60 ssSkC10 <=> $false). % 3.35/3.60 tff(formula128, axiom, % 3.35/3.60 a138 = $i!val!41). % 3.35/3.60 tff(formula129, axiom, % 3.35/3.60 a45 = $i!val!4). % 3.35/3.60 tff(formula130, axiom, % 3.35/3.60 a63 = $i!val!31). % 3.35/3.60 tff(formula131, axiom, % 3.35/3.60 a133 = $i!val!1). % 3.35/3.60 tff(formula132, axiom, % 3.35/3.60 a19 = $i!val!8). % 3.35/3.60 tff(formula133, axiom, % 3.35/3.60 a2 = $i!val!26). % 3.35/3.60 tff(formula134, axiom, % 3.35/3.60 a119 = $i!val!15). % 3.35/3.60 tff(formula135, axiom, % 3.35/3.60 a67 = $i!val!43). % 3.35/3.60 tff(formula136, axiom, % 3.35/3.60 a127 = $i!val!27). % 3.35/3.60 tff(formula137, axiom, % 3.35/3.60 a22 = $i!val!45). % 3.35/3.60 tff(formula138, axiom, % 3.35/3.60 a128 = $i!val!8). % 3.35/3.60 tff(formula139, axiom, % 3.35/3.60 a23 = $i!val!47). % 3.35/3.60 tff(formula140, axiom, % 3.35/3.60 a9 = $i!val!11). % 3.35/3.60 tff(formula141, axiom, % 3.35/3.60 a116 = $i!val!28). % 3.35/3.60 tff(formula142, axiom, % 3.35/3.60 a112 = $i!val!29). % 3.35/3.60 tff(formula143, axiom, % 3.35/3.60 a25 = $i!val!38). % 3.35/3.60 tff(formula144, axiom, % 3.35/3.60 a81 = $i!val!46). % 3.35/3.60 tff(formula145, axiom, % 3.35/3.60 ![X0: $i] : (ssSkP7(X0) <=> $true)). % 3.35/3.60 tff(formula146, axiom, % 3.35/3.60 ![X0: $i] : (c10_1(X0) <=> (k!3329(X0) = $i!val!12))). % 3.35/3.60 tff(formula147, axiom, % 3.35/3.60 ![X0: $i] : (c5_1(X0) <=> $true)). % 3.35/3.60 tff(formula148, axiom, % 3.35/3.60 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 3.35/3.60 tff(formula149, axiom, % 3.35/3.60 ![X0: $i] : (c2_1(X0) <=> (k!3329(X0) = $i!val!2))). % 3.35/3.60 tff(formula150, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!24)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!47)) | ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!41))))). % 3.35/3.60 tff(formula151, axiom, % 3.35/3.60 ![X0: $i] : (c4_1(X0) <=> ((k!3329(X0) = $i!val!14) | (k!3329(X0) = $i!val!2) | (k!3329(X0) = $i!val!27)))). % 3.35/3.60 tff(formula152, axiom, % 3.35/3.60 ![X0: $i] : (c9_1(X0) <=> ((~(k!3329(X0) = $i!val!19)) & (~(k!3329(X0) = $i!val!46)) & (~(k!3329(X0) = $i!val!3)) & (~(k!3329(X0) = $i!val!18)) & (~(k!3329(X0) = $i!val!17))))). % 3.35/3.60 tff(formula153, axiom, % 3.35/3.60 ![X0: $i] : (ssSkP1(X0) <=> ((~(k!3329(X0) = $i!val!46)) & (~(k!3329(X0) = $i!val!18)) & (~(k!3329(X0) = $i!val!3)) & (~(k!3329(X0) = $i!val!19)) & (~(k!3329(X0) = $i!val!17))))). % 3.35/3.60 tff(formula154, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!21)) | ((k!3329(X1) = $i!val!33) & (k!3330(X0) = $i!val!38)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!38))))). % 3.35/3.60 tff(formula155, axiom, % 3.35/3.60 ![X0: $i] : (ssSkP4(X0) <=> $true)). % 3.35/3.60 tff(formula156, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!41)))). % 3.35/3.60 tff(formula157, axiom, % 3.35/3.60 ![X0: $i] : (c7_1(X0) <=> (k!3329(X0) = $i!val!7))). % 3.35/3.60 tff(formula158, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!42)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!33) & (k!3330(X0) = $i!val!38)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!38))))). % 3.35/3.60 tff(formula159, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!3329(X1) = $i!val!3) & (k!3330(X0) = $i!val!49)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!49)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!49)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!47))))). % 3.35/3.60 tff(formula160, axiom, % 3.35/3.60 k!3329($i!val!5) = $i!val!5). % 3.35/3.60 tff(formula161, axiom, % 3.35/3.60 k!3329($i!val!44) = $i!val!44). % 3.35/3.60 tff(formula162, axiom, % 3.35/3.60 k!3329($i!val!30) = $i!val!30). % 3.35/3.60 tff(formula163, axiom, % 3.35/3.60 k!3329($i!val!16) = $i!val!16). % 3.35/3.60 tff(formula164, axiom, % 3.35/3.60 k!3329($i!val!13) = $i!val!13). % 3.35/3.60 tff(formula165, axiom, % 3.35/3.60 k!3329($i!val!33) = $i!val!33). % 3.35/3.60 tff(formula166, axiom, % 3.35/3.60 k!3329($i!val!12) = $i!val!12). % 3.35/3.60 tff(formula167, axiom, % 3.35/3.60 k!3329($i!val!22) = $i!val!22). % 3.35/3.60 tff(formula168, axiom, % 3.35/3.60 k!3329($i!val!0) = $i!val!0). % 3.35/3.60 tff(formula169, axiom, % 3.35/3.60 k!3329($i!val!2) = $i!val!2). % 3.35/3.60 tff(formula170, axiom, % 3.35/3.60 k!3329($i!val!19) = $i!val!19). % 3.35/3.60 tff(formula171, axiom, % 3.35/3.60 k!3329($i!val!51) = $i!val!51). % 3.35/3.60 tff(formula172, axiom, % 3.35/3.60 k!3329($i!val!4) = $i!val!4). % 3.35/3.60 tff(formula173, axiom, % 3.35/3.60 k!3329($i!val!7) = $i!val!7). % 3.35/3.60 tff(formula174, axiom, % 3.35/3.60 k!3329($i!val!8) = $i!val!8). % 3.35/3.60 tff(formula175, axiom, % 3.35/3.60 k!3329($i!val!9) = $i!val!9). % 3.35/3.60 tff(formula176, axiom, % 3.35/3.60 k!3329($i!val!3) = $i!val!3). % 3.35/3.60 tff(formula177, axiom, % 3.35/3.60 k!3329($i!val!1) = $i!val!1). % 3.35/3.60 tff(formula178, axiom, % 3.35/3.60 k!3329($i!val!10) = $i!val!10). % 3.35/3.60 tff(formula179, axiom, % 3.35/3.60 k!3329($i!val!15) = $i!val!15). % 3.35/3.60 tff(formula180, axiom, % 3.35/3.60 k!3329($i!val!27) = $i!val!27). % 3.35/3.60 tff(formula181, axiom, % 3.35/3.60 k!3329($i!val!45) = $i!val!45). % 3.35/3.60 tff(formula182, axiom, % 3.35/3.60 k!3329($i!val!17) = $i!val!17). % 3.35/3.60 tff(formula183, axiom, % 3.35/3.60 k!3329($i!val!11) = $i!val!11). % 3.35/3.60 tff(formula184, axiom, % 3.35/3.60 k!3329($i!val!28) = $i!val!28). % 3.35/3.60 tff(formula185, axiom, % 3.35/3.60 k!3329($i!val!29) = $i!val!29). % 3.35/3.60 tff(formula186, axiom, % 3.35/3.60 k!3329($i!val!18) = $i!val!18). % 3.35/3.60 tff(formula187, axiom, % 3.35/3.60 k!3329($i!val!46) = $i!val!46). % 3.35/3.60 tff(formula188, axiom, % 3.35/3.60 k!3329($i!val!14) = $i!val!14). % 3.35/3.60 tff(formula189, axiom, % 3.35/3.60 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!44 = X0)) | (($i!val!30 = X0)) | (($i!val!16 = X0)) | (($i!val!13 = X0)) | (($i!val!33 = X0)) | (($i!val!12 = X0)) | (($i!val!22 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!19 = X0)) | (($i!val!51 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!15 = X0)) | (($i!val!27 = X0)) | (($i!val!45 = X0)) | (($i!val!17 = X0)) | (($i!val!11 = X0)) | (($i!val!28 = X0)) | (($i!val!29 = X0)) | (($i!val!18 = X0)) | (($i!val!46 = X0)) | (($i!val!14 = X0)))) => (k!3329(X0) = $i!val!6))). % 3.35/3.60 tff(formula190, axiom, % 3.35/3.60 ![X0: $i] : (ssSkP3(X0) <=> $true)). % 3.35/3.60 tff(formula191, axiom, % 3.35/3.60 ![X0: $i] : (ndr1_1(X0) <=> ((k!3329(X0) = $i!val!13) | (k!3329(X0) = $i!val!44) | (k!3329(X0) = $i!val!4) | (k!3329(X0) = $i!val!9) | (k!3329(X0) = $i!val!33) | (k!3329(X0) = $i!val!17) | (k!3329(X0) = $i!val!19) | (k!3329(X0) = $i!val!18) | (k!3329(X0) = $i!val!3) | (k!3329(X0) = $i!val!46) | (k!3329(X0) = $i!val!6) | (k!3329(X0) = $i!val!45) | (k!3329(X0) = $i!val!2)))). % 3.35/3.60 tff(formula192, axiom, % 3.35/3.60 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!3329(X1) = $i!val!18) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!20)) | ((k!3329(X1) = $i!val!13) & (k!3330(X0) = $i!val!50)) | ((k!3329(X1) = $i!val!13) & (k!3330(X0) = $i!val!40)) | ((k!3329(X1) = $i!val!3) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!17) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!46) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!55)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!47))))). % 3.35/3.60 tff(formula193, axiom, % 3.35/3.60 k!3330($i!val!56) = $i!val!56). % 3.35/3.60 tff(formula194, axiom, % 3.35/3.60 k!3330($i!val!35) = $i!val!35). % 3.35/3.60 tff(formula195, axiom, % 3.35/3.60 k!3330($i!val!21) = $i!val!21). % 3.35/3.60 tff(formula196, axiom, % 3.35/3.60 k!3330($i!val!48) = $i!val!48). % 3.35/3.60 tff(formula197, axiom, % 3.35/3.60 k!3330($i!val!39) = $i!val!39). % 3.35/3.60 tff(formula198, axiom, % 3.35/3.60 k!3330($i!val!25) = $i!val!25). % 3.35/3.60 tff(formula199, axiom, % 3.35/3.60 k!3330($i!val!49) = $i!val!49). % 3.35/3.60 tff(formula200, axiom, % 3.35/3.60 k!3330($i!val!50) = $i!val!50). % 3.35/3.60 tff(formula201, axiom, % 3.35/3.60 k!3330($i!val!54) = $i!val!54). % 3.35/3.60 tff(formula202, axiom, % 3.35/3.60 k!3330($i!val!31) = $i!val!31). % 3.35/3.60 tff(formula203, axiom, % 3.35/3.60 k!3330($i!val!41) = $i!val!41). % 3.35/3.60 tff(formula204, axiom, % 3.35/3.60 k!3330($i!val!52) = $i!val!52). % 3.35/3.60 tff(formula205, axiom, % 3.35/3.60 k!3330($i!val!55) = $i!val!55). % 3.35/3.60 tff(formula206, axiom, % 3.35/3.60 k!3330($i!val!26) = $i!val!26). % 3.35/3.61 tff(formula207, axiom, % 3.35/3.61 k!3330($i!val!37) = $i!val!37). % 3.35/3.61 tff(formula208, axiom, % 3.35/3.61 k!3330($i!val!58) = $i!val!58). % 3.35/3.61 tff(formula209, axiom, % 3.35/3.61 k!3330($i!val!32) = $i!val!32). % 3.35/3.61 tff(formula210, axiom, % 3.35/3.61 k!3330($i!val!43) = $i!val!43). % 3.35/3.61 tff(formula211, axiom, % 3.35/3.61 k!3330($i!val!42) = $i!val!42). % 3.35/3.61 tff(formula212, axiom, % 3.35/3.61 k!3330($i!val!34) = $i!val!34). % 3.35/3.61 tff(formula213, axiom, % 3.35/3.61 k!3330($i!val!47) = $i!val!47). % 3.35/3.61 tff(formula214, axiom, % 3.35/3.61 k!3330($i!val!57) = $i!val!57). % 3.35/3.61 tff(formula215, axiom, % 3.35/3.61 k!3330($i!val!36) = $i!val!36). % 3.35/3.61 tff(formula216, axiom, % 3.35/3.61 k!3330($i!val!20) = $i!val!20). % 3.35/3.61 tff(formula217, axiom, % 3.35/3.61 k!3330($i!val!23) = $i!val!23). % 3.35/3.61 tff(formula218, axiom, % 3.35/3.61 k!3330($i!val!38) = $i!val!38). % 3.35/3.61 tff(formula219, axiom, % 3.35/3.61 k!3330($i!val!40) = $i!val!40). % 3.35/3.61 tff(formula220, axiom, % 3.35/3.61 k!3330($i!val!53) = $i!val!53). % 3.35/3.61 tff(formula221, axiom, % 3.35/3.61 ![X0: $i] : ((~((($i!val!56 = X0)) | (($i!val!35 = X0)) | (($i!val!21 = X0)) | (($i!val!48 = X0)) | (($i!val!39 = X0)) | (($i!val!25 = X0)) | (($i!val!49 = X0)) | (($i!val!50 = X0)) | (($i!val!54 = X0)) | (($i!val!31 = X0)) | (($i!val!41 = X0)) | (($i!val!52 = X0)) | (($i!val!55 = X0)) | (($i!val!26 = X0)) | (($i!val!37 = X0)) | (($i!val!58 = X0)) | (($i!val!32 = X0)) | (($i!val!43 = X0)) | (($i!val!42 = X0)) | (($i!val!34 = X0)) | (($i!val!47 = X0)) | (($i!val!57 = X0)) | (($i!val!36 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)) | (($i!val!38 = X0)) | (($i!val!40 = X0)) | (($i!val!53 = X0)))) => (k!3330(X0) = $i!val!24))). % 3.35/3.61 tff(formula222, axiom, % 3.35/3.61 ![X0: $i] : (c3_1(X0) <=> ((k!3329(X0) = $i!val!33) | (k!3329(X0) = $i!val!6)))). % 3.35/3.61 tff(formula223, axiom, % 3.35/3.61 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!3329(X1) = $i!val!13) & (k!3330(X0) = $i!val!50)) | ((k!3329(X1) = $i!val!13) & (k!3330(X0) = $i!val!40)) | ((k!3329(X1) = $i!val!17) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!46) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!55)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!2) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!33) & (k!3330(X0) = $i!val!38)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!47))))). % 3.35/3.61 tff(formula224, axiom, % 3.35/3.61 ![X0: $i] : (c1_1(X0) <=> ((k!3329(X0) = $i!val!7) | (k!3329(X0) = $i!val!33)))). % 3.35/3.61 tff(formula225, axiom, % 3.35/3.61 ![X0: $i] : (ssSkP2(X0) <=> ((~(k!3329(X0) = $i!val!44)) & (~(k!3329(X0) = $i!val!19)) & (~(k!3329(X0) = $i!val!45)) & (~(k!3329(X0) = $i!val!4)) & (~(k!3329(X0) = $i!val!6)) & (~(k!3329(X0) = $i!val!2))))). % 3.35/3.61 tff(formula226, axiom, % 3.35/3.61 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!3329(X1) = $i!val!18) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!33) & (k!3330(X0) = $i!val!34)) | ((k!3329(X1) = $i!val!9) & (k!3330(X0) = $i!val!25)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!20))))). % 3.35/3.61 tff(formula227, axiom, % 3.35/3.61 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!3329(X1) = $i!val!33) & (k!3330(X0) = $i!val!38)) | ((k!3329(X1) = $i!val!6) & (k!3330(X0) = $i!val!38))))). % 3.35/3.61 tff(formula228, axiom, % 3.35/3.61 ![X0: $i] : (c8_1(X0) <=> ((k!3329(X0) = $i!val!1) | (k!3329(X0) = $i!val!45)))). % 3.35/3.61 tff(formula229, axiom, % 3.35/3.61 ![X0: $i] : (c6_1(X0) <=> ((k!3329(X0) = $i!val!13) | (k!3329(X0) = $i!val!14) | (k!3329(X0) = $i!val!6)))). % 3.35/3.61 tff(formula230, axiom, % 3.35/3.61 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!3329(X1) = $i!val!18) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!13) & (k!3330(X0) = $i!val!26)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!20)) | ((k!3329(X1) = $i!val!3) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!36)) | ((k!3329(X1) = $i!val!19) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!4) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!45) & (k!3330(X0) = $i!val!35)) | ((k!3329(X1) = $i!val!44) & (k!3330(X0) = $i!val!35))))). % 3.35/3.61 tff(formula231, axiom, % 3.35/3.61 ![X0: $i] : (ssSkP6(X0) <=> $true)). % 3.35/3.61 tff(formula232, axiom, % 3.35/3.61 ![X0: $i] : (ssSkP5(X0) <=> $true)). % 3.35/3.61 % SZS output end Model % 3.35/3.62 % E exiting %------------------------------------------------------------------------------