%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN441-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 05:39:07 AM UTC 2025 % Result : Satisfiable 2.67s 2.89s % Output : Model 2.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN441-1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.11 % Command : run_E %s %d THM % 0.10/0.32 % Computer : n014.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Fri Jun 20 12:35:54 EDT 2025 % 0.10/0.32 % CPUTime : % 2.67/2.89 % SZS status Satisfiable % 2.67/2.89 % SZS output start Model % 2.67/2.89 tff(hskp63_type, type, ( % 2.67/2.89 hskp63: $o)). % 2.67/2.89 tff(hskp15_type, type, ( % 2.67/2.89 hskp15: $o)). % 2.67/2.89 tff(hskp1_type, type, ( % 2.67/2.89 hskp1: $o)). % 2.67/2.89 tff(hskp27_type, type, ( % 2.67/2.89 hskp27: $o)). % 2.67/2.89 tff(hskp75_type, type, ( % 2.67/2.89 hskp75: $o)). % 2.67/2.89 tff(tptp_fun__i_val_22_type, type, ( % 2.67/2.89 tptp_fun__i_val_22: $i)). % 2.67/2.89 tff(a1854_type, type, ( % 2.67/2.89 a1854: $i)). % 2.67/2.89 tff(hskp37_type, type, ( % 2.67/2.89 hskp37: $o)). % 2.67/2.89 tff(tptp_fun__i_val_5_type, type, ( % 2.67/2.89 tptp_fun__i_val_5: $i)). % 2.67/2.89 tff(a1848_type, type, ( % 2.67/2.89 a1848: $i)). % 2.67/2.89 tff(hskp31_type, type, ( % 2.67/2.89 hskp31: $o)). % 2.67/2.89 tff(tptp_fun__i_val_4_type, type, ( % 2.67/2.89 tptp_fun__i_val_4: $i)). % 2.67/2.89 tff(a1868_type, type, ( % 2.67/2.89 a1868: $i)). % 2.67/2.89 tff(tptp_fun__i_val_11_type, type, ( % 2.67/2.89 tptp_fun__i_val_11: $i)). % 2.67/2.89 tff(a1823_type, type, ( % 2.67/2.89 a1823: $i)). % 2.67/2.89 tff(hskp45_type, type, ( % 2.67/2.89 hskp45: $o)). % 2.67/2.89 tff(tptp_fun__i_val_28_type, type, ( % 2.67/2.89 tptp_fun__i_val_28: $i)). % 2.67/2.89 tff(a1896_type, type, ( % 2.67/2.89 a1896: $i)). % 2.67/2.89 tff(tptp_fun__i_val_35_type, type, ( % 2.67/2.89 tptp_fun__i_val_35: $i)). % 2.67/2.89 tff(a1824_type, type, ( % 2.67/2.89 a1824: $i)). % 2.67/2.89 tff(hskp68_type, type, ( % 2.67/2.89 hskp68: $o)). % 2.67/2.89 tff(hskp21_type, type, ( % 2.67/2.89 hskp21: $o)). % 2.67/2.89 tff(hskp23_type, type, ( % 2.67/2.89 hskp23: $o)). % 2.67/2.89 tff(hskp17_type, type, ( % 2.67/2.89 hskp17: $o)). % 2.67/2.89 tff(hskp60_type, type, ( % 2.67/2.89 hskp60: $o)). % 2.67/2.89 tff(tptp_fun__i_val_31_type, type, ( % 2.67/2.89 tptp_fun__i_val_31: $i)). % 2.67/2.89 tff(a1856_type, type, ( % 2.67/2.89 a1856: $i)). % 2.67/2.89 tff(tptp_fun__i_val_2_type, type, ( % 2.67/2.89 tptp_fun__i_val_2: $i)). % 2.67/2.89 tff(a1879_type, type, ( % 2.67/2.89 a1879: $i)). % 2.67/2.89 tff(hskp56_type, type, ( % 2.67/2.89 hskp56: $o)). % 2.67/2.89 tff(hskp54_type, type, ( % 2.67/2.89 hskp54: $o)). % 2.67/2.89 tff(hskp2_type, type, ( % 2.67/2.89 hskp2: $o)). % 2.67/2.89 tff(hskp26_type, type, ( % 2.67/2.89 hskp26: $o)). % 2.67/2.89 tff(tptp_fun__i_val_7_type, type, ( % 2.67/2.89 tptp_fun__i_val_7: $i)). % 2.67/2.89 tff(a1842_type, type, ( % 2.67/2.89 a1842: $i)). % 2.67/2.89 tff(tptp_fun__i_val_25_type, type, ( % 2.67/2.89 tptp_fun__i_val_25: $i)). % 2.67/2.89 tff(a1843_type, type, ( % 2.67/2.89 a1843: $i)). % 2.67/2.89 tff(tptp_fun__i_val_0_type, type, ( % 2.67/2.89 tptp_fun__i_val_0: $i)). % 2.67/2.89 tff(a1894_type, type, ( % 2.67/2.89 a1894: $i)). % 2.67/2.89 tff(hskp12_type, type, ( % 2.67/2.89 hskp12: $o)). % 2.67/2.89 tff(tptp_fun__i_val_19_type, type, ( % 2.67/2.89 tptp_fun__i_val_19: $i)). % 2.67/2.89 tff(a1858_type, type, ( % 2.67/2.89 a1858: $i)). % 2.67/2.89 tff(hskp70_type, type, ( % 2.67/2.89 hskp70: $o)). % 2.67/2.89 tff(ndr1_0_type, type, ( % 2.67/2.89 ndr1_0: $o)). % 2.67/2.89 tff(hskp40_type, type, ( % 2.67/2.89 hskp40: $o)). % 2.67/2.89 tff(hskp65_type, type, ( % 2.67/2.89 hskp65: $o)). % 2.67/2.89 tff(hskp59_type, type, ( % 2.67/2.89 hskp59: $o)). % 2.67/2.89 tff(hskp53_type, type, ( % 2.67/2.89 hskp53: $o)). % 2.67/2.89 tff(hskp74_type, type, ( % 2.67/2.89 hskp74: $o)). % 2.67/2.89 tff(hskp67_type, type, ( % 2.67/2.89 hskp67: $o)). % 2.67/2.89 tff(tptp_fun__i_val_6_type, type, ( % 2.67/2.89 tptp_fun__i_val_6: $i)). % 2.67/2.89 tff(a1845_type, type, ( % 2.67/2.89 a1845: $i)). % 2.67/2.89 tff(tptp_fun__i_val_20_type, type, ( % 2.67/2.89 tptp_fun__i_val_20: $i)). % 2.67/2.89 tff(a1857_type, type, ( % 2.67/2.89 a1857: $i)). % 2.67/2.89 tff(hskp19_type, type, ( % 2.67/2.89 hskp19: $o)). % 2.67/2.89 tff(hskp42_type, type, ( % 2.67/2.89 hskp42: $o)). % 2.67/2.89 tff(tptp_fun__i_val_17_type, type, ( % 2.67/2.89 tptp_fun__i_val_17: $i)). % 2.67/2.89 tff(a1869_type, type, ( % 2.67/2.89 a1869: $i)). % 2.67/2.89 tff(hskp25_type, type, ( % 2.67/2.89 hskp25: $o)). % 2.67/2.89 tff(hskp43_type, type, ( % 2.67/2.89 hskp43: $o)). % 2.67/2.89 tff(hskp52_type, type, ( % 2.67/2.89 hskp52: $o)). % 2.67/2.89 tff(hskp22_type, type, ( % 2.67/2.89 hskp22: $o)). % 2.67/2.89 tff(tptp_fun__i_val_23_type, type, ( % 2.67/2.89 tptp_fun__i_val_23: $i)). % 2.67/2.89 tff(a1850_type, type, ( % 2.67/2.89 a1850: $i)). % 2.67/2.89 tff(hskp50_type, type, ( % 2.67/2.89 hskp50: $o)). % 2.67/2.89 tff(hskp14_type, type, ( % 2.67/2.89 hskp14: $o)). % 2.67/2.89 tff(hskp9_type, type, ( % 2.67/2.89 hskp9: $o)). % 2.67/2.89 tff(tptp_fun__i_val_12_type, type, ( % 2.67/2.89 tptp_fun__i_val_12: $i)). % 2.67/2.89 tff(a1820_type, type, ( % 2.67/2.89 a1820: $i)). % 2.67/2.89 tff(hskp46_type, type, ( % 2.67/2.89 hskp46: $o)). % 2.67/2.89 tff(hskp57_type, type, ( % 2.67/2.89 hskp57: $o)). % 2.67/2.89 tff(tptp_fun__i_val_1_type, type, ( % 2.67/2.89 tptp_fun__i_val_1: $i)). % 2.67/2.89 tff(a1885_type, type, ( % 2.67/2.89 a1885: $i)). % 2.67/2.89 tff(hskp29_type, type, ( % 2.67/2.89 hskp29: $o)). % 2.67/2.89 tff(tptp_fun__i_val_21_type, type, ( % 2.67/2.89 tptp_fun__i_val_21: $i)). % 2.67/2.89 tff(a1855_type, type, ( % 2.67/2.89 a1855: $i)). % 2.67/2.89 tff(tptp_fun__i_val_30_type, type, ( % 2.67/2.89 tptp_fun__i_val_30: $i)). % 2.67/2.89 tff(a1859_type, type, ( % 2.67/2.89 a1859: $i)). % 2.67/2.89 tff(hskp48_type, type, ( % 2.67/2.89 hskp48: $o)). % 2.67/2.89 tff(hskp38_type, type, ( % 2.67/2.89 hskp38: $o)). % 2.67/2.89 tff(hskp69_type, type, ( % 2.67/2.89 hskp69: $o)). % 2.67/2.89 tff(hskp47_type, type, ( % 2.67/2.89 hskp47: $o)). % 2.67/2.89 tff(hskp10_type, type, ( % 2.67/2.89 hskp10: $o)). % 2.67/2.89 tff(hskp44_type, type, ( % 2.67/2.89 hskp44: $o)). % 2.67/2.89 tff(hskp41_type, type, ( % 2.67/2.89 hskp41: $o)). % 2.67/2.89 tff(tptp_fun__i_val_33_type, type, ( % 2.67/2.89 tptp_fun__i_val_33: $i)). % 2.67/2.89 tff(a1832_type, type, ( % 2.67/2.89 a1832: $i)). % 2.67/2.89 tff(hskp30_type, type, ( % 2.67/2.89 hskp30: $o)). % 2.67/2.89 tff(hskp35_type, type, ( % 2.67/2.89 hskp35: $o)). % 2.67/2.89 tff(hskp71_type, type, ( % 2.67/2.89 hskp71: $o)). % 2.67/2.89 tff(tptp_fun__i_val_27_type, type, ( % 2.67/2.89 tptp_fun__i_val_27: $i)). % 2.67/2.89 tff(a1901_type, type, ( % 2.67/2.89 a1901: $i)). % 2.67/2.89 tff(tptp_fun__i_val_32_type, type, ( % 2.67/2.89 tptp_fun__i_val_32: $i)). % 2.67/2.89 tff(a1844_type, type, ( % 2.67/2.89 a1844: $i)). % 2.67/2.89 tff(hskp39_type, type, ( % 2.67/2.89 hskp39: $o)). % 2.67/2.89 tff(tptp_fun__i_val_9_type, type, ( % 2.67/2.89 tptp_fun__i_val_9: $i)). % 2.67/2.89 tff(a1827_type, type, ( % 2.67/2.89 a1827: $i)). % 2.67/2.89 tff(tptp_fun__i_val_24_type, type, ( % 2.67/2.89 tptp_fun__i_val_24: $i)). % 2.67/2.89 tff(a1847_type, type, ( % 2.67/2.89 a1847: $i)). % 2.67/2.89 tff(tptp_fun__i_val_29_type, type, ( % 2.67/2.89 tptp_fun__i_val_29: $i)). % 2.67/2.89 tff(a1866_type, type, ( % 2.67/2.89 a1866: $i)). % 2.67/2.89 tff(hskp28_type, type, ( % 2.67/2.89 hskp28: $o)). % 2.67/2.89 tff(hskp32_type, type, ( % 2.67/2.89 hskp32: $o)). % 2.67/2.89 tff(hskp16_type, type, ( % 2.67/2.89 hskp16: $o)). % 2.67/2.89 tff(hskp0_type, type, ( % 2.67/2.89 hskp0: $o)). % 2.67/2.89 tff(tptp_fun__i_val_34_type, type, ( % 2.67/2.89 tptp_fun__i_val_34: $i)). % 2.67/2.89 tff(a1829_type, type, ( % 2.67/2.89 a1829: $i)). % 2.67/2.89 tff(hskp64_type, type, ( % 2.67/2.89 hskp64: $o)). % 2.67/2.89 tff(hskp66_type, type, ( % 2.67/2.89 hskp66: $o)). % 2.67/2.89 tff(hskp49_type, type, ( % 2.67/2.89 hskp49: $o)). % 2.67/2.89 tff(tptp_fun__i_val_26_type, type, ( % 2.67/2.89 tptp_fun__i_val_26: $i)). % 2.67/2.89 tff(a1833_type, type, ( % 2.67/2.89 a1833: $i)). % 2.67/2.89 tff(hskp34_type, type, ( % 2.67/2.89 hskp34: $o)). % 2.67/2.89 tff(hskp11_type, type, ( % 2.67/2.89 hskp11: $o)). % 2.67/2.89 tff(hskp24_type, type, ( % 2.67/2.89 hskp24: $o)). % 2.67/2.89 tff(tptp_fun__i_val_16_type, type, ( % 2.67/2.89 tptp_fun__i_val_16: $i)). % 2.67/2.89 tff(a1872_type, type, ( % 2.67/2.89 a1872: $i)). % 2.67/2.89 tff(hskp13_type, type, ( % 2.67/2.89 hskp13: $o)). % 2.67/2.89 tff(hskp7_type, type, ( % 2.67/2.89 hskp7: $o)). % 2.67/2.89 tff(hskp3_type, type, ( % 2.67/2.89 hskp3: $o)). % 2.67/2.89 tff(hskp5_type, type, ( % 2.67/2.89 hskp5: $o)). % 2.67/2.89 tff(hskp6_type, type, ( % 2.67/2.89 hskp6: $o)). % 2.67/2.89 tff(hskp58_type, type, ( % 2.67/2.89 hskp58: $o)). % 2.67/2.89 tff(tptp_fun__i_val_10_type, type, ( % 2.67/2.89 tptp_fun__i_val_10: $i)). % 2.67/2.89 tff(a1825_type, type, ( % 2.67/2.89 a1825: $i)). % 2.67/2.89 tff(hskp51_type, type, ( % 2.67/2.89 hskp51: $o)). % 2.67/2.89 tff(hskp62_type, type, ( % 2.67/2.89 hskp62: $o)). % 2.67/2.89 tff(hskp33_type, type, ( % 2.67/2.89 hskp33: $o)). % 2.67/2.89 tff(tptp_fun__i_val_13_type, type, ( % 2.67/2.89 tptp_fun__i_val_13: $i)). % 2.67/2.89 tff(a1895_type, type, ( % 2.67/2.89 a1895: $i)). % 2.67/2.89 tff(hskp73_type, type, ( % 2.67/2.89 hskp73: $o)). % 2.67/2.89 tff(tptp_fun__i_val_15_type, type, ( % 2.67/2.89 tptp_fun__i_val_15: $i)). % 2.67/2.89 tff(a1876_type, type, ( % 2.67/2.89 a1876: $i)). % 2.67/2.89 tff(tptp_fun__i_val_8_type, type, ( % 2.67/2.89 tptp_fun__i_val_8: $i)). % 2.67/2.89 tff(a1839_type, type, ( % 2.67/2.89 a1839: $i)). % 2.67/2.89 tff(hskp72_type, type, ( % 2.67/2.89 hskp72: $o)). % 2.67/2.89 tff(hskp36_type, type, ( % 2.67/2.89 hskp36: $o)). % 2.67/2.89 tff(tptp_fun__i_val_14_type, type, ( % 2.67/2.89 tptp_fun__i_val_14: $i)). % 2.67/2.89 tff(a1882_type, type, ( % 2.67/2.89 a1882: $i)). % 2.67/2.89 tff(tptp_fun__i_val_18_type, type, ( % 2.67/2.89 tptp_fun__i_val_18: $i)). % 2.67/2.89 tff(a1862_type, type, ( % 2.67/2.89 a1862: $i)). % 2.67/2.89 tff(tptp_fun__i_val_3_type, type, ( % 2.67/2.89 tptp_fun__i_val_3: $i)). % 2.67/2.89 tff(a1878_type, type, ( % 2.67/2.89 a1878: $i)). % 2.67/2.89 tff(hskp55_type, type, ( % 2.67/2.89 hskp55: $o)). % 2.67/2.89 tff(hskp18_type, type, ( % 2.67/2.89 hskp18: $o)). % 2.67/2.89 tff(hskp61_type, type, ( % 2.67/2.89 hskp61: $o)). % 2.67/2.89 tff(hskp8_type, type, ( % 2.67/2.89 hskp8: $o)). % 2.67/2.89 tff(hskp4_type, type, ( % 2.67/2.89 hskp4: $o)). % 2.67/2.89 tff(k!0_type, type, ( % 2.67/2.89 k!0: $i > $i)). % 2.67/2.89 tff(c1_1_type, type, ( % 2.67/2.89 c1_1: $i > $o)). % 2.67/2.89 tff(c3_1_type, type, ( % 2.67/2.89 c3_1: $i > $o)). % 2.67/2.89 tff(c2_1_type, type, ( % 2.67/2.89 c2_1: $i > $o)). % 2.67/2.89 tff(c0_1_type, type, ( % 2.67/2.89 c0_1: $i > $o)). % 2.67/2.89 tff(formula1, axiom, % 2.67/2.89 hskp63 <=> $true). % 2.67/2.89 tff(formula2, axiom, % 2.67/2.89 hskp15 <=> $false). % 2.67/2.89 tff(formula3, axiom, % 2.67/2.89 hskp1 <=> $false). % 2.67/2.89 tff(formula4, axiom, % 2.67/2.89 hskp27 <=> $true). % 2.67/2.89 tff(formula5, axiom, % 2.67/2.89 hskp75 <=> $false). % 2.67/2.89 tff(formula6, axiom, % 2.67/2.89 a1854 = $i!val!22). % 2.67/2.89 tff(formula7, axiom, % 2.67/2.89 hskp37 <=> $false). % 2.67/2.89 tff(formula8, axiom, % 2.67/2.89 a1848 = $i!val!5). % 2.67/2.89 tff(formula9, axiom, % 2.67/2.89 hskp31 <=> $false). % 2.67/2.89 tff(formula10, axiom, % 2.67/2.89 a1868 = $i!val!4). % 2.67/2.89 tff(formula11, axiom, % 2.67/2.89 a1823 = $i!val!11). % 2.67/2.89 tff(formula12, axiom, % 2.67/2.89 hskp45 <=> $false). % 2.67/2.89 tff(formula13, axiom, % 2.67/2.89 a1896 = $i!val!28). % 2.67/2.89 tff(formula14, axiom, % 2.67/2.89 a1824 = $i!val!35). % 2.67/2.89 tff(formula15, axiom, % 2.67/2.89 hskp68 <=> $false). % 2.67/2.89 tff(formula16, axiom, % 2.67/2.89 hskp21 <=> $false). % 2.67/2.89 tff(formula17, axiom, % 2.67/2.89 hskp23 <=> $true). % 2.67/2.89 tff(formula18, axiom, % 2.67/2.89 hskp17 <=> $false). % 2.67/2.89 tff(formula19, axiom, % 2.67/2.89 hskp60 <=> $false). % 2.67/2.89 tff(formula20, axiom, % 2.67/2.89 a1856 = $i!val!31). % 2.67/2.89 tff(formula21, axiom, % 2.67/2.89 a1879 = $i!val!2). % 2.67/2.89 tff(formula22, axiom, % 2.67/2.89 hskp56 <=> $true). % 2.67/2.89 tff(formula23, axiom, % 2.67/2.89 hskp54 <=> $false). % 2.67/2.89 tff(formula24, axiom, % 2.67/2.89 hskp2 <=> $false). % 2.67/2.89 tff(formula25, axiom, % 2.67/2.89 hskp26 <=> $true). % 2.67/2.89 tff(formula26, axiom, % 2.67/2.89 a1842 = $i!val!7). % 2.67/2.89 tff(formula27, axiom, % 2.67/2.89 a1843 = $i!val!25). % 2.67/2.89 tff(formula28, axiom, % 2.67/2.89 a1894 = $i!val!0). % 2.67/2.89 tff(formula29, axiom, % 2.67/2.89 hskp12 <=> $false). % 2.67/2.89 tff(formula30, axiom, % 2.67/2.89 a1858 = $i!val!19). % 2.67/2.89 tff(formula31, axiom, % 2.67/2.89 hskp70 <=> $false). % 2.67/2.89 tff(formula32, axiom, % 2.67/2.89 ndr1_0 <=> $true). % 2.67/2.89 tff(formula33, axiom, % 2.67/2.89 hskp40 <=> $false). % 2.67/2.89 tff(formula34, axiom, % 2.67/2.89 hskp65 <=> $true). % 2.67/2.89 tff(formula35, axiom, % 2.67/2.89 hskp59 <=> $false). % 2.67/2.89 tff(formula36, axiom, % 2.67/2.89 hskp53 <=> $false). % 2.67/2.89 tff(formula37, axiom, % 2.67/2.89 hskp74 <=> $false). % 2.67/2.89 tff(formula38, axiom, % 2.67/2.89 hskp67 <=> $true). % 2.67/2.89 tff(formula39, axiom, % 2.67/2.89 a1845 = $i!val!6). % 2.67/2.89 tff(formula40, axiom, % 2.67/2.89 a1857 = $i!val!20). % 2.67/2.89 tff(formula41, axiom, % 2.67/2.89 hskp19 <=> $false). % 2.67/2.89 tff(formula42, axiom, % 2.67/2.89 hskp42 <=> $false). % 2.67/2.89 tff(formula43, axiom, % 2.67/2.89 a1869 = $i!val!17). % 2.67/2.89 tff(formula44, axiom, % 2.67/2.89 hskp25 <=> $false). % 2.67/2.89 tff(formula45, axiom, % 2.67/2.89 hskp43 <=> $true). % 2.67/2.89 tff(formula46, axiom, % 2.67/2.89 hskp52 <=> $false). % 2.67/2.89 tff(formula47, axiom, % 2.67/2.89 hskp22 <=> $true). % 2.67/2.89 tff(formula48, axiom, % 2.67/2.89 a1850 = $i!val!23). % 2.67/2.89 tff(formula49, axiom, % 2.67/2.89 hskp50 <=> $false). % 2.67/2.89 tff(formula50, axiom, % 2.67/2.89 hskp14 <=> $false). % 2.67/2.89 tff(formula51, axiom, % 2.67/2.89 hskp9 <=> $false). % 2.67/2.89 tff(formula52, axiom, % 2.67/2.89 a1820 = $i!val!12). % 2.67/2.89 tff(formula53, axiom, % 2.67/2.89 hskp46 <=> $true). % 2.67/2.89 tff(formula54, axiom, % 2.67/2.89 hskp57 <=> $true). % 2.67/2.89 tff(formula55, axiom, % 2.67/2.89 a1885 = $i!val!1). % 2.67/2.89 tff(formula56, axiom, % 2.67/2.89 hskp29 <=> $true). % 2.67/2.89 tff(formula57, axiom, % 2.67/2.89 a1855 = $i!val!21). % 2.67/2.89 tff(formula58, axiom, % 2.67/2.89 a1859 = $i!val!30). % 2.67/2.89 tff(formula59, axiom, % 2.67/2.89 hskp48 <=> $false). % 2.67/2.89 tff(formula60, axiom, % 2.67/2.89 hskp38 <=> $false). % 2.67/2.89 tff(formula61, axiom, % 2.67/2.89 hskp69 <=> $false). % 2.67/2.89 tff(formula62, axiom, % 2.67/2.89 hskp47 <=> $false). % 2.67/2.89 tff(formula63, axiom, % 2.67/2.89 hskp10 <=> $false). % 2.67/2.89 tff(formula64, axiom, % 2.67/2.89 hskp44 <=> $false). % 2.67/2.89 tff(formula65, axiom, % 2.67/2.89 hskp41 <=> $true). % 2.67/2.89 tff(formula66, axiom, % 2.67/2.89 a1832 = $i!val!33). % 2.67/2.89 tff(formula67, axiom, % 2.67/2.89 hskp30 <=> $false). % 2.67/2.89 tff(formula68, axiom, % 2.67/2.89 hskp35 <=> $false). % 2.67/2.89 tff(formula69, axiom, % 2.67/2.89 hskp71 <=> $true). % 2.67/2.89 tff(formula70, axiom, % 2.67/2.89 a1901 = $i!val!27). % 2.67/2.89 tff(formula71, axiom, % 2.67/2.89 a1844 = $i!val!32). % 2.67/2.89 tff(formula72, axiom, % 2.67/2.89 hskp39 <=> $false). % 2.67/2.89 tff(formula73, axiom, % 2.67/2.89 a1827 = $i!val!9). % 2.67/2.89 tff(formula74, axiom, % 2.67/2.89 a1847 = $i!val!24). % 2.67/2.89 tff(formula75, axiom, % 2.67/2.89 a1866 = $i!val!29). % 2.67/2.89 tff(formula76, axiom, % 2.67/2.89 hskp28 <=> $false). % 2.67/2.89 tff(formula77, axiom, % 2.67/2.89 hskp32 <=> $false). % 2.67/2.89 tff(formula78, axiom, % 2.67/2.89 hskp16 <=> $false). % 2.67/2.89 tff(formula79, axiom, % 2.67/2.89 hskp0 <=> $false). % 2.67/2.89 tff(formula80, axiom, % 2.67/2.89 a1829 = $i!val!34). % 2.67/2.89 tff(formula81, axiom, % 2.67/2.89 hskp64 <=> $false). % 2.67/2.89 tff(formula82, axiom, % 2.67/2.89 hskp66 <=> $false). % 2.67/2.89 tff(formula83, axiom, % 2.67/2.89 hskp49 <=> $false). % 2.67/2.89 tff(formula84, axiom, % 2.67/2.89 a1833 = $i!val!26). % 2.67/2.89 tff(formula85, axiom, % 2.67/2.89 hskp34 <=> $false). % 2.67/2.89 tff(formula86, axiom, % 2.67/2.89 hskp11 <=> $false). % 2.67/2.89 tff(formula87, axiom, % 2.67/2.89 hskp24 <=> $true). % 2.67/2.89 tff(formula88, axiom, % 2.67/2.89 a1872 = $i!val!16). % 2.67/2.89 tff(formula89, axiom, % 2.67/2.89 hskp13 <=> $false). % 2.67/2.89 tff(formula90, axiom, % 2.67/2.89 hskp7 <=> $true). % 2.67/2.89 tff(formula91, axiom, % 2.67/2.89 hskp3 <=> $false). % 2.67/2.89 tff(formula92, axiom, % 2.67/2.89 hskp5 <=> $false). % 2.67/2.89 tff(formula93, axiom, % 2.67/2.89 hskp6 <=> $false). % 2.67/2.89 tff(formula94, axiom, % 2.67/2.89 hskp58 <=> $false). % 2.67/2.89 tff(formula95, axiom, % 2.67/2.89 a1825 = $i!val!10). % 2.67/2.89 tff(formula96, axiom, % 2.67/2.89 hskp51 <=> $false). % 2.67/2.89 tff(formula97, axiom, % 2.67/2.89 hskp62 <=> $false). % 2.67/2.89 tff(formula98, axiom, % 2.67/2.89 hskp33 <=> $false). % 2.67/2.89 tff(formula99, axiom, % 2.67/2.89 a1895 = $i!val!13). % 2.67/2.89 tff(formula100, axiom, % 2.67/2.89 hskp73 <=> $false). % 2.67/2.89 tff(formula101, axiom, % 2.67/2.89 a1876 = $i!val!15). % 2.67/2.89 tff(formula102, axiom, % 2.67/2.89 a1839 = $i!val!8). % 2.67/2.89 tff(formula103, axiom, % 2.67/2.89 hskp72 <=> $false). % 2.67/2.89 tff(formula104, axiom, % 2.67/2.89 hskp36 <=> $false). % 2.67/2.89 tff(formula105, axiom, % 2.67/2.89 a1882 = $i!val!14). % 2.67/2.89 tff(formula106, axiom, % 2.67/2.89 a1862 = $i!val!18). % 2.67/2.89 tff(formula107, axiom, % 2.67/2.89 a1878 = $i!val!3). % 2.67/2.89 tff(formula108, axiom, % 2.67/2.89 hskp55 <=> $true). % 2.67/2.89 tff(formula109, axiom, % 2.67/2.89 hskp18 <=> $true). % 2.67/2.89 tff(formula110, axiom, % 2.67/2.89 hskp61 <=> $false). % 2.67/2.89 tff(formula111, axiom, % 2.67/2.89 hskp8 <=> $false). % 2.73/2.90 tff(formula112, axiom, % 2.73/2.90 hskp4 <=> $false). % 2.73/2.90 tff(formula113, axiom, % 2.73/2.90 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!4)))). % 2.73/2.90 tff(formula114, axiom, % 2.73/2.90 ![X0: $i] : (c3_1(X0) <=> ((~(k!0(X0) = $i!val!34)) & (~(k!0(X0) = $i!val!32)) & (~(k!0(X0) = $i!val!22)) & (~(k!0(X0) = $i!val!19)) & (~(k!0(X0) = $i!val!30)) & (~(k!0(X0) = $i!val!16)) & (~(k!0(X0) = $i!val!15)) & (~(k!0(X0) = $i!val!28)) & (~(k!0(X0) = $i!val!27)) & (~(k!0(X0) = $i!val!9)) & (~(k!0(X0) = $i!val!6)) & (~(k!0(X0) = $i!val!25))))). % 2.73/2.90 tff(formula115, axiom, % 2.73/2.90 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!12)))). % 2.73/2.90 tff(formula116, axiom, % 2.73/2.90 k!0($i!val!23) = $i!val!23). % 2.73/2.90 tff(formula117, axiom, % 2.73/2.90 k!0($i!val!2) = $i!val!2). % 2.73/2.90 tff(formula118, axiom, % 2.73/2.90 k!0($i!val!12) = $i!val!12). % 2.73/2.90 tff(formula119, axiom, % 2.73/2.90 k!0($i!val!34) = $i!val!34). % 2.73/2.90 tff(formula120, axiom, % 2.73/2.90 k!0($i!val!25) = $i!val!25). % 2.73/2.90 tff(formula121, axiom, % 2.73/2.90 k!0($i!val!7) = $i!val!7). % 2.73/2.90 tff(formula122, axiom, % 2.73/2.90 k!0($i!val!1) = $i!val!1). % 2.73/2.90 tff(formula123, axiom, % 2.73/2.90 k!0($i!val!21) = $i!val!21). % 2.73/2.90 tff(formula124, axiom, % 2.73/2.90 k!0($i!val!26) = $i!val!26). % 2.73/2.90 tff(formula125, axiom, % 2.73/2.90 k!0($i!val!30) = $i!val!30). % 2.73/2.90 tff(formula126, axiom, % 2.73/2.90 k!0($i!val!19) = $i!val!19). % 2.73/2.90 tff(formula127, axiom, % 2.73/2.90 k!0($i!val!0) = $i!val!0). % 2.73/2.90 tff(formula128, axiom, % 2.73/2.90 k!0($i!val!16) = $i!val!16). % 2.73/2.90 tff(formula129, axiom, % 2.73/2.90 k!0($i!val!22) = $i!val!22). % 2.73/2.90 tff(formula130, axiom, % 2.73/2.90 k!0($i!val!5) = $i!val!5). % 2.73/2.90 tff(formula131, axiom, % 2.73/2.90 k!0($i!val!10) = $i!val!10). % 2.73/2.90 tff(formula132, axiom, % 2.73/2.90 k!0($i!val!13) = $i!val!13). % 2.73/2.90 tff(formula133, axiom, % 2.73/2.90 k!0($i!val!4) = $i!val!4). % 2.73/2.90 tff(formula134, axiom, % 2.73/2.90 k!0($i!val!15) = $i!val!15). % 2.73/2.90 tff(formula135, axiom, % 2.73/2.90 k!0($i!val!8) = $i!val!8). % 2.73/2.90 tff(formula136, axiom, % 2.73/2.90 k!0($i!val!11) = $i!val!11). % 2.73/2.90 tff(formula137, axiom, % 2.73/2.90 k!0($i!val!6) = $i!val!6). % 2.73/2.90 tff(formula138, axiom, % 2.73/2.90 k!0($i!val!33) = $i!val!33). % 2.73/2.90 tff(formula139, axiom, % 2.73/2.90 k!0($i!val!20) = $i!val!20). % 2.73/2.90 tff(formula140, axiom, % 2.73/2.90 k!0($i!val!17) = $i!val!17). % 2.73/2.90 tff(formula141, axiom, % 2.73/2.90 k!0($i!val!18) = $i!val!18). % 2.73/2.90 tff(formula142, axiom, % 2.73/2.90 k!0($i!val!28) = $i!val!28). % 2.73/2.90 tff(formula143, axiom, % 2.73/2.90 k!0($i!val!27) = $i!val!27). % 2.73/2.90 tff(formula144, axiom, % 2.73/2.90 k!0($i!val!32) = $i!val!32). % 2.73/2.90 tff(formula145, axiom, % 2.73/2.90 k!0($i!val!3) = $i!val!3). % 2.73/2.90 tff(formula146, axiom, % 2.73/2.90 k!0($i!val!14) = $i!val!14). % 2.73/2.90 tff(formula147, axiom, % 2.73/2.90 k!0($i!val!35) = $i!val!35). % 2.73/2.90 tff(formula148, axiom, % 2.73/2.90 k!0($i!val!9) = $i!val!9). % 2.73/2.90 tff(formula149, axiom, % 2.73/2.90 k!0($i!val!29) = $i!val!29). % 2.73/2.90 tff(formula150, axiom, % 2.73/2.90 k!0($i!val!24) = $i!val!24). % 2.73/2.90 tff(formula151, axiom, % 2.73/2.90 ![X0: $i] : ((~((($i!val!23 = X0)) | (($i!val!2 = X0)) | (($i!val!12 = X0)) | (($i!val!34 = X0)) | (($i!val!25 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!21 = X0)) | (($i!val!26 = X0)) | (($i!val!30 = X0)) | (($i!val!19 = X0)) | (($i!val!0 = X0)) | (($i!val!16 = X0)) | (($i!val!22 = X0)) | (($i!val!5 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!4 = X0)) | (($i!val!15 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!6 = X0)) | (($i!val!33 = X0)) | (($i!val!20 = X0)) | (($i!val!17 = X0)) | (($i!val!18 = X0)) | (($i!val!28 = X0)) | (($i!val!27 = X0)) | (($i!val!32 = X0)) | (($i!val!3 = X0)) | (($i!val!14 = X0)) | (($i!val!35 = X0)) | (($i!val!9 = X0)) | (($i!val!29 = X0)) | (($i!val!24 = X0)))) => (k!0(X0) = $i!val!31))). % 2.73/2.90 tff(formula152, axiom, % 2.73/2.90 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!32) | (k!0(X0) = $i!val!28) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!34) | (k!0(X0) = $i!val!9)))). % 2.73/2.90 % SZS output end Model % 2.73/2.90 % E exiting %------------------------------------------------------------------------------