%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN520+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:39:26 AM UTC 2025 % Result : CounterSatisfiable 2.85s 3.01s % Output : Model 2.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYN520+1 : TPTP v9.0.0. Released v2.1.0. % 0.11/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n011.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:38:12 EDT 2025 % 0.11/0.33 % CPUTime : % 2.85/3.01 % SZS status CounterSatisfiable % 2.85/3.01 % SZS output start Model % 2.85/3.01 tff(tptp_fun__i_val_54_type, type, ( % 2.85/3.01 tptp_fun__i_val_54: $i)). % 2.85/3.01 tff(a1357_type, type, ( % 2.85/3.01 a1357: $i)). % 2.85/3.01 tff(tptp_fun__i_val_7_type, type, ( % 2.85/3.01 tptp_fun__i_val_7: $i)). % 2.85/3.01 tff(a1360_type, type, ( % 2.85/3.01 a1360: $i)). % 2.85/3.01 tff(tptp_fun__i_val_5_type, type, ( % 2.85/3.01 tptp_fun__i_val_5: $i)). % 2.85/3.01 tff(a1350_type, type, ( % 2.85/3.01 a1350: $i)). % 2.85/3.01 tff(tptp_fun__i_val_1_type, type, ( % 2.85/3.01 tptp_fun__i_val_1: $i)). % 2.85/3.01 tff(a1333_type, type, ( % 2.85/3.01 a1333: $i)). % 2.85/3.01 tff(tptp_fun__i_val_20_type, type, ( % 2.85/3.01 tptp_fun__i_val_20: $i)). % 2.85/3.01 tff(a1437_type, type, ( % 2.85/3.01 a1437: $i)). % 2.85/3.01 tff(tptp_fun__i_val_19_type, type, ( % 2.85/3.01 tptp_fun__i_val_19: $i)). % 2.85/3.01 tff(a1436_type, type, ( % 2.85/3.01 a1436: $i)). % 2.85/3.01 tff(tptp_fun__i_val_38_type, type, ( % 2.85/3.01 tptp_fun__i_val_38: $i)). % 2.85/3.01 tff(a1503_type, type, ( % 2.85/3.01 a1503: $i)). % 2.85/3.01 tff(tptp_fun__i_val_32_type, type, ( % 2.85/3.01 tptp_fun__i_val_32: $i)). % 2.85/3.01 tff(a1475_type, type, ( % 2.85/3.01 a1475: $i)). % 2.85/3.01 tff(tptp_fun__i_val_13_type, type, ( % 2.85/3.01 tptp_fun__i_val_13: $i)). % 2.85/3.01 tff(a1409_type, type, ( % 2.85/3.01 a1409: $i)). % 2.85/3.01 tff(tptp_fun__i_val_22_type, type, ( % 2.85/3.01 tptp_fun__i_val_22: $i)). % 2.85/3.01 tff(a1442_type, type, ( % 2.85/3.01 a1442: $i)). % 2.85/3.01 tff(tptp_fun__i_val_29_type, type, ( % 2.85/3.01 tptp_fun__i_val_29: $i)). % 2.85/3.01 tff(a1464_type, type, ( % 2.85/3.01 a1464: $i)). % 2.85/3.01 tff(tptp_fun__i_val_34_type, type, ( % 2.85/3.01 tptp_fun__i_val_34: $i)). % 2.85/3.01 tff(a1483_type, type, ( % 2.85/3.01 a1483: $i)). % 2.85/3.01 tff(tptp_fun__i_val_6_type, type, ( % 2.85/3.01 tptp_fun__i_val_6: $i)). % 2.85/3.01 tff(a1359_type, type, ( % 2.85/3.01 a1359: $i)). % 2.85/3.01 tff(tptp_fun__i_val_27_type, type, ( % 2.85/3.01 tptp_fun__i_val_27: $i)). % 2.85/3.01 tff(a1454_type, type, ( % 2.85/3.01 a1454: $i)). % 2.85/3.01 tff(tptp_fun__i_val_39_type, type, ( % 2.85/3.01 tptp_fun__i_val_39: $i)). % 2.85/3.01 tff(a1516_type, type, ( % 2.85/3.01 a1516: $i)). % 2.85/3.01 tff(c1_0_type, type, ( % 2.85/3.01 c1_0: $o)). % 2.85/3.01 tff(tptp_fun__i_val_36_type, type, ( % 2.85/3.01 tptp_fun__i_val_36: $i)). % 2.85/3.01 tff(a1494_type, type, ( % 2.85/3.01 a1494: $i)). % 2.85/3.01 tff(tptp_fun__i_val_46_type, type, ( % 2.85/3.01 tptp_fun__i_val_46: $i)). % 2.85/3.01 tff(a1374_type, type, ( % 2.85/3.01 a1374: $i)). % 2.85/3.01 tff(tptp_fun__i_val_25_type, type, ( % 2.85/3.01 tptp_fun__i_val_25: $i)). % 2.85/3.01 tff(a1452_type, type, ( % 2.85/3.01 a1452: $i)). % 2.85/3.01 tff(tptp_fun__i_val_11_type, type, ( % 2.85/3.01 tptp_fun__i_val_11: $i)). % 2.85/3.01 tff(a1393_type, type, ( % 2.85/3.01 a1393: $i)). % 2.85/3.01 tff(tptp_fun__i_val_26_type, type, ( % 2.85/3.01 tptp_fun__i_val_26: $i)). % 2.85/3.01 tff(a1453_type, type, ( % 2.85/3.01 a1453: $i)). % 2.85/3.01 tff(tptp_fun__i_val_58_type, type, ( % 2.85/3.01 tptp_fun__i_val_58: $i)). % 2.85/3.01 tff(a1490_type, type, ( % 2.85/3.01 a1490: $i)). % 2.85/3.01 tff(tptp_fun__i_val_42_type, type, ( % 2.85/3.01 tptp_fun__i_val_42: $i)). % 2.85/3.01 tff(a1340_type, type, ( % 2.85/3.01 a1340: $i)). % 2.85/3.01 tff(tptp_fun__i_val_44_type, type, ( % 2.85/3.01 tptp_fun__i_val_44: $i)). % 2.85/3.01 tff(a1459_type, type, ( % 2.85/3.01 a1459: $i)). % 2.85/3.01 tff(tptp_fun__i_val_53_type, type, ( % 2.85/3.01 tptp_fun__i_val_53: $i)). % 2.85/3.01 tff(a1379_type, type, ( % 2.85/3.01 a1379: $i)). % 2.85/3.01 tff(tptp_fun__i_val_31_type, type, ( % 2.85/3.01 tptp_fun__i_val_31: $i)). % 2.85/3.01 tff(a1341_type, type, ( % 2.85/3.01 a1341: $i)). % 2.85/3.01 tff(tptp_fun__i_val_21_type, type, ( % 2.85/3.01 tptp_fun__i_val_21: $i)). % 2.85/3.01 tff(a1438_type, type, ( % 2.85/3.01 a1438: $i)). % 2.85/3.01 tff(tptp_fun__i_val_0_type, type, ( % 2.85/3.01 tptp_fun__i_val_0: $i)). % 2.85/3.01 tff(a1325_type, type, ( % 2.85/3.01 a1325: $i)). % 2.85/3.01 tff(tptp_fun__i_val_14_type, type, ( % 2.85/3.01 tptp_fun__i_val_14: $i)). % 2.85/3.01 tff(a1424_type, type, ( % 2.85/3.01 a1424: $i)). % 2.85/3.01 tff(c4_0_type, type, ( % 2.85/3.01 c4_0: $o)). % 2.85/3.01 tff(tptp_fun__i_val_49_type, type, ( % 2.85/3.01 tptp_fun__i_val_49: $i)). % 2.85/3.01 tff(a1347_type, type, ( % 2.85/3.01 a1347: $i)). % 2.85/3.01 tff(tptp_fun__i_val_50_type, type, ( % 2.85/3.01 tptp_fun__i_val_50: $i)). % 2.85/3.01 tff(a1523_type, type, ( % 2.85/3.01 a1523: $i)). % 2.85/3.01 tff(tptp_fun__i_val_10_type, type, ( % 2.85/3.01 tptp_fun__i_val_10: $i)). % 2.85/3.01 tff(a1378_type, type, ( % 2.85/3.01 a1378: $i)). % 2.85/3.01 tff(tptp_fun__i_val_17_type, type, ( % 2.85/3.01 tptp_fun__i_val_17: $i)). % 2.85/3.01 tff(a1431_type, type, ( % 2.85/3.01 a1431: $i)). % 2.85/3.01 tff(tptp_fun__i_val_43_type, type, ( % 2.85/3.01 tptp_fun__i_val_43: $i)). % 2.85/3.01 tff(a1410_type, type, ( % 2.85/3.01 a1410: $i)). % 2.85/3.01 tff(tptp_fun__i_val_51_type, type, ( % 2.85/3.01 tptp_fun__i_val_51: $i)). % 2.85/3.01 tff(a1375_type, type, ( % 2.85/3.01 a1375: $i)). % 2.85/3.01 tff(c2_0_type, type, ( % 2.85/3.01 c2_0: $o)). % 2.85/3.01 tff(tptp_fun__i_val_56_type, type, ( % 2.85/3.01 tptp_fun__i_val_56: $i)). % 2.85/3.01 tff(a1414_type, type, ( % 2.85/3.01 a1414: $i)). % 2.85/3.01 tff(tptp_fun__i_val_9_type, type, ( % 2.85/3.01 tptp_fun__i_val_9: $i)). % 2.85/3.01 tff(a1364_type, type, ( % 2.85/3.01 a1364: $i)). % 2.85/3.01 tff(tptp_fun__i_val_47_type, type, ( % 2.85/3.01 tptp_fun__i_val_47: $i)). % 2.85/3.01 tff(a1373_type, type, ( % 2.85/3.01 a1373: $i)). % 2.85/3.01 tff(a1392_type, type, ( % 2.85/3.01 a1392: $i)). % 2.85/3.01 tff(tptp_fun__i_val_45_type, type, ( % 2.85/3.01 tptp_fun__i_val_45: $i)). % 2.85/3.01 tff(a1505_type, type, ( % 2.85/3.01 a1505: $i)). % 2.85/3.01 tff(tptp_fun__i_val_18_type, type, ( % 2.85/3.01 tptp_fun__i_val_18: $i)). % 2.85/3.01 tff(a1429_type, type, ( % 2.85/3.01 a1429: $i)). % 2.85/3.01 tff(a1466_type, type, ( % 2.85/3.01 a1466: $i)). % 2.85/3.01 tff(tptp_fun__i_val_23_type, type, ( % 2.85/3.01 tptp_fun__i_val_23: $i)). % 2.85/3.01 tff(a1444_type, type, ( % 2.85/3.01 a1444: $i)). % 2.85/3.01 tff(ndr1_0_type, type, ( % 2.85/3.01 ndr1_0: $o)). % 2.85/3.01 tff(c3_0_type, type, ( % 2.85/3.01 c3_0: $o)). % 2.85/3.01 tff(tptp_fun__i_val_8_type, type, ( % 2.85/3.01 tptp_fun__i_val_8: $i)). % 2.85/3.01 tff(a1363_type, type, ( % 2.85/3.01 a1363: $i)). % 2.85/3.01 tff(tptp_fun__i_val_37_type, type, ( % 2.85/3.01 tptp_fun__i_val_37: $i)). % 2.85/3.01 tff(a1498_type, type, ( % 2.85/3.01 a1498: $i)). % 2.85/3.01 tff(tptp_fun__i_val_41_type, type, ( % 2.85/3.01 tptp_fun__i_val_41: $i)). % 2.85/3.01 tff(a1489_type, type, ( % 2.85/3.01 a1489: $i)). % 2.85/3.01 tff(tptp_fun__i_val_4_type, type, ( % 2.85/3.01 tptp_fun__i_val_4: $i)). % 2.85/3.01 tff(a1346_type, type, ( % 2.85/3.01 a1346: $i)). % 2.85/3.01 tff(tptp_fun__i_val_52_type, type, ( % 2.85/3.01 tptp_fun__i_val_52: $i)). % 2.85/3.01 tff(a1435_type, type, ( % 2.85/3.01 a1435: $i)). % 2.85/3.01 tff(tptp_fun__i_val_57_type, type, ( % 2.85/3.01 tptp_fun__i_val_57: $i)). % 2.85/3.01 tff(a1492_type, type, ( % 2.85/3.01 a1492: $i)). % 2.85/3.01 tff(tptp_fun__i_val_48_type, type, ( % 2.85/3.01 tptp_fun__i_val_48: $i)). % 2.85/3.01 tff(a1413_type, type, ( % 2.85/3.01 a1413: $i)). % 2.85/3.01 tff(tptp_fun__i_val_40_type, type, ( % 2.85/3.01 tptp_fun__i_val_40: $i)). % 2.85/3.01 tff(a1515_type, type, ( % 2.85/3.01 a1515: $i)). % 2.85/3.01 tff(tptp_fun__i_val_24_type, type, ( % 2.85/3.01 tptp_fun__i_val_24: $i)). % 2.85/3.01 tff(a1446_type, type, ( % 2.85/3.01 a1446: $i)). % 2.85/3.01 tff(tptp_fun__i_val_28_type, type, ( % 2.85/3.01 tptp_fun__i_val_28: $i)). % 2.85/3.01 tff(a1458_type, type, ( % 2.85/3.01 a1458: $i)). % 2.85/3.01 tff(tptp_fun__i_val_33_type, type, ( % 2.85/3.01 tptp_fun__i_val_33: $i)). % 2.85/3.01 tff(a1482_type, type, ( % 2.85/3.01 a1482: $i)). % 2.85/3.01 tff(tptp_fun__i_val_30_type, type, ( % 2.85/3.01 tptp_fun__i_val_30: $i)). % 2.85/3.01 tff(a1465_type, type, ( % 2.85/3.01 a1465: $i)). % 2.85/3.01 tff(tptp_fun__i_val_16_type, type, ( % 2.85/3.01 tptp_fun__i_val_16: $i)). % 2.85/3.01 tff(a1432_type, type, ( % 2.85/3.01 a1432: $i)). % 2.85/3.01 tff(c5_0_type, type, ( % 2.85/3.01 c5_0: $o)). % 2.85/3.01 tff(tptp_fun__i_val_2_type, type, ( % 2.85/3.01 tptp_fun__i_val_2: $i)). % 2.85/3.01 tff(a1334_type, type, ( % 2.85/3.01 a1334: $i)). % 2.85/3.01 tff(tptp_fun__i_val_59_type, type, ( % 2.85/3.01 tptp_fun__i_val_59: $i)). % 2.85/3.01 tff(a1395_type, type, ( % 2.85/3.01 a1395: $i)). % 2.85/3.01 tff(tptp_fun__i_val_35_type, type, ( % 2.85/3.01 tptp_fun__i_val_35: $i)). % 2.85/3.01 tff(a1493_type, type, ( % 2.85/3.01 a1493: $i)). % 2.85/3.01 tff(tptp_fun__i_val_12_type, type, ( % 2.85/3.01 tptp_fun__i_val_12: $i)). % 2.85/3.01 tff(a1394_type, type, ( % 2.85/3.01 a1394: $i)). % 2.85/3.01 tff(tptp_fun__i_val_15_type, type, ( % 2.85/3.01 tptp_fun__i_val_15: $i)). % 2.85/3.01 tff(a1430_type, type, ( % 2.85/3.01 a1430: $i)). % 2.85/3.01 tff(tptp_fun__i_val_55_type, type, ( % 2.85/3.01 tptp_fun__i_val_55: $i)). % 2.85/3.01 tff(a1358_type, type, ( % 2.85/3.01 a1358: $i)). % 2.85/3.01 tff(tptp_fun__i_val_3_type, type, ( % 2.85/3.01 tptp_fun__i_val_3: $i)). % 2.85/3.01 tff(a1337_type, type, ( % 2.85/3.01 a1337: $i)). % 2.85/3.01 tff(k!1133_type, type, ( % 2.85/3.01 k!1133: $i > $i)). % 2.85/3.01 tff(ndr1_1_type, type, ( % 2.85/3.01 ndr1_1: $i > $o)). % 2.85/3.01 tff(k!1132_type, type, ( % 2.85/3.01 k!1132: $i > $i)). % 2.85/3.01 tff(c3_2_type, type, ( % 2.85/3.01 c3_2: ( $i * $i ) > $o)). % 2.85/3.01 tff(c4_2_type, type, ( % 2.85/3.01 c4_2: ( $i * $i ) > $o)). % 2.85/3.01 tff(c5_1_type, type, ( % 2.85/3.01 c5_1: $i > $o)). % 2.85/3.01 tff(c5_2_type, type, ( % 2.85/3.01 c5_2: ( $i * $i ) > $o)). % 2.85/3.01 tff(c2_1_type, type, ( % 2.85/3.01 c2_1: $i > $o)). % 2.85/3.01 tff(c3_1_type, type, ( % 2.85/3.01 c3_1: $i > $o)). % 2.85/3.01 tff(c2_2_type, type, ( % 2.85/3.01 c2_2: ( $i * $i ) > $o)). % 2.85/3.01 tff(c4_1_type, type, ( % 2.85/3.01 c4_1: $i > $o)). % 2.85/3.01 tff(c1_2_type, type, ( % 2.85/3.01 c1_2: ( $i * $i ) > $o)). % 2.85/3.01 tff(c1_1_type, type, ( % 2.85/3.01 c1_1: $i > $o)). % 2.85/3.01 tff(formula1, axiom, % 2.85/3.01 a1357 = $i!val!54). % 2.85/3.01 tff(formula2, axiom, % 2.85/3.01 a1360 = $i!val!7). % 2.85/3.01 tff(formula3, axiom, % 2.85/3.01 a1350 = $i!val!5). % 2.85/3.01 tff(formula4, axiom, % 2.85/3.01 a1333 = $i!val!1). % 2.85/3.01 tff(formula5, axiom, % 2.85/3.01 a1437 = $i!val!20). % 2.85/3.01 tff(formula6, axiom, % 2.85/3.01 a1436 = $i!val!19). % 2.85/3.01 tff(formula7, axiom, % 2.85/3.01 a1503 = $i!val!38). % 2.85/3.01 tff(formula8, axiom, % 2.85/3.01 a1475 = $i!val!32). % 2.85/3.01 tff(formula9, axiom, % 2.85/3.01 a1409 = $i!val!13). % 2.85/3.01 tff(formula10, axiom, % 2.85/3.01 a1442 = $i!val!22). % 2.85/3.01 tff(formula11, axiom, % 2.85/3.01 a1464 = $i!val!29). % 2.85/3.01 tff(formula12, axiom, % 2.85/3.01 a1483 = $i!val!34). % 2.85/3.01 tff(formula13, axiom, % 2.85/3.01 a1359 = $i!val!6). % 2.85/3.01 tff(formula14, axiom, % 2.85/3.01 a1454 = $i!val!27). % 2.85/3.01 tff(formula15, axiom, % 2.85/3.01 a1516 = $i!val!39). % 2.85/3.01 tff(formula16, axiom, % 2.85/3.01 c1_0 <=> $false). % 2.85/3.01 tff(formula17, axiom, % 2.85/3.01 a1494 = $i!val!36). % 2.85/3.01 tff(formula18, axiom, % 2.85/3.01 a1374 = $i!val!46). % 2.85/3.01 tff(formula19, axiom, % 2.85/3.01 a1452 = $i!val!25). % 2.85/3.01 tff(formula20, axiom, % 2.85/3.01 a1393 = $i!val!11). % 2.85/3.01 tff(formula21, axiom, % 2.85/3.01 a1453 = $i!val!26). % 2.85/3.01 tff(formula22, axiom, % 2.85/3.01 a1490 = $i!val!58). % 2.85/3.01 tff(formula23, axiom, % 2.85/3.01 a1340 = $i!val!42). % 2.85/3.01 tff(formula24, axiom, % 2.85/3.01 a1459 = $i!val!44). % 2.85/3.01 tff(formula25, axiom, % 2.85/3.01 a1379 = $i!val!53). % 2.85/3.01 tff(formula26, axiom, % 2.85/3.01 a1341 = $i!val!31). % 2.85/3.01 tff(formula27, axiom, % 2.85/3.01 a1438 = $i!val!21). % 2.85/3.01 tff(formula28, axiom, % 2.85/3.01 a1325 = $i!val!0). % 2.85/3.01 tff(formula29, axiom, % 2.85/3.01 a1424 = $i!val!14). % 2.85/3.01 tff(formula30, axiom, % 2.85/3.01 c4_0 <=> $false). % 2.85/3.01 tff(formula31, axiom, % 2.85/3.01 a1347 = $i!val!49). % 2.85/3.01 tff(formula32, axiom, % 2.85/3.01 a1523 = $i!val!50). % 2.85/3.01 tff(formula33, axiom, % 2.85/3.01 a1378 = $i!val!10). % 2.85/3.01 tff(formula34, axiom, % 2.85/3.01 a1431 = $i!val!17). % 2.85/3.01 tff(formula35, axiom, % 2.85/3.01 a1410 = $i!val!43). % 2.85/3.01 tff(formula36, axiom, % 2.85/3.01 a1375 = $i!val!51). % 2.85/3.01 tff(formula37, axiom, % 2.85/3.01 c2_0 <=> $false). % 2.85/3.01 tff(formula38, axiom, % 2.85/3.01 a1414 = $i!val!56). % 2.85/3.01 tff(formula39, axiom, % 2.85/3.01 a1364 = $i!val!9). % 2.85/3.01 tff(formula40, axiom, % 2.85/3.01 a1373 = $i!val!47). % 2.85/3.01 tff(formula41, axiom, % 2.85/3.01 a1392 = $i!val!32). % 2.85/3.01 tff(formula42, axiom, % 2.85/3.01 a1505 = $i!val!45). % 2.85/3.01 tff(formula43, axiom, % 2.85/3.01 a1429 = $i!val!18). % 2.85/3.01 tff(formula44, axiom, % 2.85/3.01 a1466 = $i!val!31). % 2.85/3.01 tff(formula45, axiom, % 2.85/3.01 a1444 = $i!val!23). % 2.85/3.01 tff(formula46, axiom, % 2.85/3.01 ndr1_0 <=> $true). % 2.85/3.01 tff(formula47, axiom, % 2.85/3.01 c3_0 <=> $true). % 2.85/3.01 tff(formula48, axiom, % 2.85/3.01 a1363 = $i!val!8). % 2.85/3.01 tff(formula49, axiom, % 2.85/3.01 a1498 = $i!val!37). % 2.85/3.01 tff(formula50, axiom, % 2.85/3.01 a1489 = $i!val!41). % 2.85/3.01 tff(formula51, axiom, % 2.85/3.01 a1346 = $i!val!4). % 2.85/3.01 tff(formula52, axiom, % 2.85/3.01 a1435 = $i!val!52). % 2.85/3.01 tff(formula53, axiom, % 2.85/3.01 a1492 = $i!val!57). % 2.85/3.01 tff(formula54, axiom, % 2.85/3.01 a1413 = $i!val!48). % 2.85/3.01 tff(formula55, axiom, % 2.85/3.01 a1515 = $i!val!40). % 2.85/3.01 tff(formula56, axiom, % 2.85/3.01 a1446 = $i!val!24). % 2.85/3.01 tff(formula57, axiom, % 2.85/3.01 a1458 = $i!val!28). % 2.85/3.01 tff(formula58, axiom, % 2.85/3.01 a1482 = $i!val!33). % 2.85/3.01 tff(formula59, axiom, % 2.85/3.01 a1465 = $i!val!30). % 2.85/3.01 tff(formula60, axiom, % 2.85/3.01 a1432 = $i!val!16). % 2.85/3.01 tff(formula61, axiom, % 2.85/3.01 c5_0 <=> $false). % 2.85/3.01 tff(formula62, axiom, % 2.85/3.01 a1334 = $i!val!2). % 2.85/3.01 tff(formula63, axiom, % 2.85/3.01 a1395 = $i!val!59). % 2.85/3.01 tff(formula64, axiom, % 2.85/3.01 a1493 = $i!val!35). % 2.85/3.01 tff(formula65, axiom, % 2.85/3.01 a1394 = $i!val!12). % 2.85/3.01 tff(formula66, axiom, % 2.85/3.01 a1430 = $i!val!15). % 2.85/3.01 tff(formula67, axiom, % 2.85/3.01 a1358 = $i!val!55). % 2.85/3.01 tff(formula68, axiom, % 2.85/3.01 a1337 = $i!val!3). % 2.85/3.01 tff(formula69, axiom, % 2.85/3.01 ![X0: $i] : (ndr1_1(X0) <=> ((k!1133(X0) = $i!val!14) | (k!1133(X0) = $i!val!5) | (k!1133(X0) = $i!val!8) | (k!1133(X0) = $i!val!15) | (k!1133(X0) = $i!val!29) | (k!1133(X0) = $i!val!40) | (k!1133(X0) = $i!val!0) | (k!1133(X0) = $i!val!25) | (k!1133(X0) = $i!val!1) | (k!1133(X0) = $i!val!19) | (k!1133(X0) = $i!val!6)))). % 2.85/3.01 tff(formula70, axiom, % 2.85/3.01 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!30)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!57)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!14) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!41)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!55)) | ((k!1133(X1) = $i!val!19) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!41)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!59)) | ((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!59)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!57)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!50)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!52)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!41)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!41)) | ((k!1133(X1) = $i!val!14) & (k!1132(X0) = $i!val!57)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!59))))). % 2.85/3.01 tff(formula71, axiom, % 2.85/3.01 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!2)) | ((k!1133(X1) = $i!val!14) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!44)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!44)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!44))))). % 2.85/3.01 tff(formula72, axiom, % 2.85/3.01 ![X0: $i] : (c5_1(X0) <=> ((k!1133(X0) = $i!val!36) | (k!1133(X0) = $i!val!22) | (k!1133(X0) = $i!val!5) | (k!1133(X0) = $i!val!40) | (k!1133(X0) = $i!val!4)))). % 2.85/3.01 tff(formula73, axiom, % 2.85/3.01 k!1133($i!val!5) = $i!val!5). % 2.85/3.01 tff(formula74, axiom, % 2.85/3.01 k!1133($i!val!1) = $i!val!1). % 2.85/3.01 tff(formula75, axiom, % 2.85/3.01 k!1133($i!val!19) = $i!val!19). % 2.85/3.01 tff(formula76, axiom, % 2.85/3.01 k!1133($i!val!38) = $i!val!38). % 2.85/3.01 tff(formula77, axiom, % 2.85/3.01 k!1133($i!val!32) = $i!val!32). % 2.85/3.01 tff(formula78, axiom, % 2.85/3.01 k!1133($i!val!8) = $i!val!8). % 2.85/3.01 tff(formula79, axiom, % 2.85/3.01 k!1133($i!val!13) = $i!val!13). % 2.85/3.01 tff(formula80, axiom, % 2.85/3.01 k!1133($i!val!37) = $i!val!37). % 2.85/3.01 tff(formula81, axiom, % 2.85/3.01 k!1133($i!val!29) = $i!val!29). % 2.85/3.01 tff(formula82, axiom, % 2.85/3.01 k!1133($i!val!22) = $i!val!22). % 2.85/3.01 tff(formula83, axiom, % 2.85/3.01 k!1133($i!val!34) = $i!val!34). % 2.85/3.01 tff(formula84, axiom, % 2.85/3.01 k!1133($i!val!6) = $i!val!6). % 2.85/3.01 tff(formula85, axiom, % 2.85/3.01 k!1133($i!val!39) = $i!val!39). % 2.85/3.01 tff(formula86, axiom, % 2.85/3.01 k!1133($i!val!27) = $i!val!27). % 2.85/3.01 tff(formula87, axiom, % 2.85/3.01 k!1133($i!val!4) = $i!val!4). % 2.85/3.01 tff(formula88, axiom, % 2.85/3.01 k!1133($i!val!36) = $i!val!36). % 2.85/3.01 tff(formula89, axiom, % 2.85/3.01 k!1133($i!val!40) = $i!val!40). % 2.85/3.01 tff(formula90, axiom, % 2.85/3.01 k!1133($i!val!25) = $i!val!25). % 2.85/3.01 tff(formula91, axiom, % 2.85/3.01 k!1133($i!val!28) = $i!val!28). % 2.85/3.01 tff(formula92, axiom, % 2.85/3.01 k!1133($i!val!24) = $i!val!24). % 2.85/3.01 tff(formula93, axiom, % 2.85/3.01 k!1133($i!val!33) = $i!val!33). % 2.85/3.01 tff(formula94, axiom, % 2.85/3.01 k!1133($i!val!58) = $i!val!58). % 2.85/3.01 tff(formula95, axiom, % 2.85/3.01 k!1133($i!val!21) = $i!val!21). % 2.85/3.01 tff(formula96, axiom, % 2.85/3.01 k!1133($i!val!35) = $i!val!35). % 2.85/3.01 tff(formula97, axiom, % 2.85/3.01 k!1133($i!val!0) = $i!val!0). % 2.85/3.01 tff(formula98, axiom, % 2.85/3.01 k!1133($i!val!14) = $i!val!14). % 2.85/3.01 tff(formula99, axiom, % 2.85/3.01 k!1133($i!val!15) = $i!val!15). % 2.85/3.01 tff(formula100, axiom, % 2.85/3.01 k!1133($i!val!3) = $i!val!3). % 2.85/3.01 tff(formula101, axiom, % 2.85/3.01 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!1 = X0)) | (($i!val!19 = X0)) | (($i!val!38 = X0)) | (($i!val!32 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!37 = X0)) | (($i!val!29 = X0)) | (($i!val!22 = X0)) | (($i!val!34 = X0)) | (($i!val!6 = X0)) | (($i!val!39 = X0)) | (($i!val!27 = X0)) | (($i!val!4 = X0)) | (($i!val!36 = X0)) | (($i!val!40 = X0)) | (($i!val!25 = X0)) | (($i!val!28 = X0)) | (($i!val!24 = X0)) | (($i!val!33 = X0)) | (($i!val!58 = X0)) | (($i!val!21 = X0)) | (($i!val!35 = X0)) | (($i!val!0 = X0)) | (($i!val!14 = X0)) | (($i!val!15 = X0)) | (($i!val!3 = X0)))) => (k!1133(X0) = $i!val!10))). % 2.85/3.01 tff(formula102, axiom, % 2.85/3.01 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((~((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!41))) & (~((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!45))) & (~((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!59))) & (~((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!52))) & (~((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!52))) & (~((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!44))) & (~((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!52))) & (~((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!53))) & (~((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!53))) & (~((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!53))) & (~((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!19) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!58) & (k!1132(X0) = $i!val!47))) & (~((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!50))) & (~((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!31))) & (~((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!30)))))). % 2.85/3.01 tff(formula103, axiom, % 2.85/3.01 ![X0: $i] : (c2_1(X0) <=> ((~(k!1133(X0) = $i!val!40)) & (~(k!1133(X0) = $i!val!8)) & (~(k!1133(X0) = $i!val!5))))). % 2.85/3.01 tff(formula104, axiom, % 2.85/3.01 ![X0: $i] : (c3_1(X0) <=> ((k!1133(X0) = $i!val!22) | (k!1133(X0) = $i!val!40) | (k!1133(X0) = $i!val!4)))). % 2.85/3.01 tff(formula105, axiom, % 2.85/3.01 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!53)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!53)) | ((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!31)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!52)) | ((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!29) & (k!1132(X0) = $i!val!30)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!14) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!55)) | ((k!1133(X1) = $i!val!19) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!52)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!26)) | ((k!1133(X1) = $i!val!5) & (k!1132(X0) = $i!val!53)) | ((k!1133(X1) = $i!val!25) & (k!1132(X0) = $i!val!56)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!47)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!59)) | ((k!1133(X1) = $i!val!1) & (k!1132(X0) = $i!val!59)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!52)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!17)) | ((k!1133(X1) = $i!val!40) & (k!1132(X0) = $i!val!59))))). % 2.85/3.01 tff(formula106, axiom, % 2.85/3.01 ![X0: $i] : (c4_1(X0) <=> ((~(k!1133(X0) = $i!val!40)) & (~(k!1133(X0) = $i!val!36)) & (~(k!1133(X0) = $i!val!10)) & (~(k!1133(X0) = $i!val!34)) & (~(k!1133(X0) = $i!val!5)) & (~(k!1133(X0) = $i!val!25)) & (~(k!1133(X0) = $i!val!4)) & (~(k!1133(X0) = $i!val!3)) & (~(k!1133(X0) = $i!val!0))))). % 2.85/3.01 tff(formula107, axiom, % 2.85/3.01 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1133(X1) = $i!val!19) & (k!1132(X0) = $i!val!20)) | ((k!1133(X1) = $i!val!0) & (k!1132(X0) = $i!val!54)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!54)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!54)) | ((k!1133(X1) = $i!val!6) & (k!1132(X0) = $i!val!55)) | ((k!1133(X1) = $i!val!19) & (k!1132(X0) = $i!val!45)) | ((k!1133(X1) = $i!val!8) & (k!1132(X0) = $i!val!9)) | ((k!1133(X1) = $i!val!14) & (k!1132(X0) = $i!val!54)) | ((k!1133(X1) = $i!val!15) & (k!1132(X0) = $i!val!17))))). % 2.85/3.01 tff(formula108, axiom, % 2.85/3.01 k!1132($i!val!17) = $i!val!17). % 2.85/3.01 tff(formula109, axiom, % 2.85/3.01 k!1132($i!val!7) = $i!val!7). % 2.85/3.01 tff(formula110, axiom, % 2.85/3.01 k!1132($i!val!43) = $i!val!43). % 2.85/3.01 tff(formula111, axiom, % 2.85/3.01 k!1132($i!val!56) = $i!val!56). % 2.85/3.01 tff(formula112, axiom, % 2.85/3.01 k!1132($i!val!51) = $i!val!51). % 2.85/3.01 tff(formula113, axiom, % 2.85/3.01 k!1132($i!val!9) = $i!val!9). % 2.85/3.01 tff(formula114, axiom, % 2.85/3.01 k!1132($i!val!47) = $i!val!47). % 2.85/3.01 tff(formula115, axiom, % 2.85/3.01 k!1132($i!val!20) = $i!val!20). % 2.85/3.01 tff(formula116, axiom, % 2.85/3.01 k!1132($i!val!45) = $i!val!45). % 2.85/3.01 tff(formula117, axiom, % 2.85/3.01 k!1132($i!val!18) = $i!val!18). % 2.85/3.01 tff(formula118, axiom, % 2.85/3.01 k!1132($i!val!31) = $i!val!31). % 2.85/3.01 tff(formula119, axiom, % 2.85/3.01 k!1132($i!val!23) = $i!val!23). % 2.85/3.01 tff(formula120, axiom, % 2.85/3.01 k!1132($i!val!41) = $i!val!41). % 2.85/3.01 tff(formula121, axiom, % 2.85/3.01 k!1132($i!val!52) = $i!val!52). % 2.85/3.01 tff(formula122, axiom, % 2.85/3.01 k!1132($i!val!57) = $i!val!57). % 2.85/3.01 tff(formula123, axiom, % 2.85/3.01 k!1132($i!val!46) = $i!val!46). % 2.85/3.01 tff(formula124, axiom, % 2.85/3.01 k!1132($i!val!48) = $i!val!48). % 2.85/3.01 tff(formula125, axiom, % 2.85/3.01 k!1132($i!val!11) = $i!val!11). % 2.85/3.01 tff(formula126, axiom, % 2.85/3.01 k!1132($i!val!30) = $i!val!30). % 2.85/3.01 tff(formula127, axiom, % 2.85/3.01 k!1132($i!val!26) = $i!val!26). % 2.85/3.01 tff(formula128, axiom, % 2.85/3.01 k!1132($i!val!16) = $i!val!16). % 2.85/3.01 tff(formula129, axiom, % 2.85/3.01 k!1132($i!val!44) = $i!val!44). % 2.85/3.01 tff(formula130, axiom, % 2.85/3.01 k!1132($i!val!53) = $i!val!53). % 2.85/3.01 tff(formula131, axiom, % 2.85/3.01 k!1132($i!val!59) = $i!val!59). % 2.85/3.01 tff(formula132, axiom, % 2.85/3.02 k!1132($i!val!42) = $i!val!42). % 2.85/3.02 tff(formula133, axiom, % 2.85/3.02 k!1132($i!val!2) = $i!val!2). % 2.85/3.02 tff(formula134, axiom, % 2.85/3.02 k!1132($i!val!50) = $i!val!50). % 2.85/3.02 tff(formula135, axiom, % 2.85/3.02 k!1132($i!val!49) = $i!val!49). % 2.85/3.02 tff(formula136, axiom, % 2.85/3.02 k!1132($i!val!55) = $i!val!55). % 2.85/3.02 tff(formula137, axiom, % 2.85/3.02 k!1132($i!val!12) = $i!val!12). % 2.85/3.02 tff(formula138, axiom, % 2.85/3.02 ![X0: $i] : ((~((($i!val!17 = X0)) | (($i!val!7 = X0)) | (($i!val!43 = X0)) | (($i!val!56 = X0)) | (($i!val!51 = X0)) | (($i!val!9 = X0)) | (($i!val!47 = X0)) | (($i!val!20 = X0)) | (($i!val!45 = X0)) | (($i!val!18 = X0)) | (($i!val!31 = X0)) | (($i!val!23 = X0)) | (($i!val!41 = X0)) | (($i!val!52 = X0)) | (($i!val!57 = X0)) | (($i!val!46 = X0)) | (($i!val!48 = X0)) | (($i!val!11 = X0)) | (($i!val!30 = X0)) | (($i!val!26 = X0)) | (($i!val!16 = X0)) | (($i!val!44 = X0)) | (($i!val!53 = X0)) | (($i!val!59 = X0)) | (($i!val!42 = X0)) | (($i!val!2 = X0)) | (($i!val!50 = X0)) | (($i!val!49 = X0)) | (($i!val!55 = X0)) | (($i!val!12 = X0)))) => (k!1132(X0) = $i!val!54))). % 2.85/3.02 tff(formula139, axiom, % 2.85/3.02 ![X0: $i] : (c1_1(X0) <=> ((~(k!1133(X0) = $i!val!15)) & (~(k!1133(X0) = $i!val!8)) & (~(k!1133(X0) = $i!val!14)) & (~(k!1133(X0) = $i!val!0))))). % 2.85/3.02 % SZS output end Model % 2.85/3.03 % E exiting %------------------------------------------------------------------------------