TSTP Solution File: SYN441+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN441+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 : Thu Sep 29 23:55:25 EDT 2022
% Result : CounterSatisfiable 0.67s 0.69s
% Output : Model 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN441+1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Sep 5 03:52:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.67/0.69 % SZS status CounterSatisfiable
% 0.67/0.69 % SZS output start Model
% 0.67/0.69 tff(hskp10_type, type, (
% 0.67/0.69 hskp10: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_2_type, type, (
% 0.67/0.69 tptp_fun__i_val_2: $i)).
% 0.67/0.69 tff(a1833_type, type, (
% 0.67/0.69 a1833: $i)).
% 0.67/0.69 tff(hskp75_type, type, (
% 0.67/0.69 hskp75: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_26_type, type, (
% 0.67/0.69 tptp_fun__i_val_26: $i)).
% 0.67/0.69 tff(a1834_type, type, (
% 0.67/0.69 a1834: $i)).
% 0.67/0.69 tff(hskp21_type, type, (
% 0.67/0.69 hskp21: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_25_type, type, (
% 0.67/0.69 tptp_fun__i_val_25: $i)).
% 0.67/0.69 tff(a1830_type, type, (
% 0.67/0.69 a1830: $i)).
% 0.67/0.69 tff(hskp26_type, type, (
% 0.67/0.69 hskp26: $o)).
% 0.67/0.69 tff(hskp59_type, type, (
% 0.67/0.69 hskp59: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_4_type, type, (
% 0.67/0.69 tptp_fun__i_val_4: $i)).
% 0.67/0.69 tff(a1840_type, type, (
% 0.67/0.69 a1840: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_22_type, type, (
% 0.67/0.69 tptp_fun__i_val_22: $i)).
% 0.67/0.69 tff(a1820_type, type, (
% 0.67/0.69 a1820: $i)).
% 0.67/0.69 tff(hskp48_type, type, (
% 0.67/0.69 hskp48: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_21_type, type, (
% 0.67/0.69 tptp_fun__i_val_21: $i)).
% 0.67/0.69 tff(a1900_type, type, (
% 0.67/0.69 a1900: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_11_type, type, (
% 0.67/0.69 tptp_fun__i_val_11: $i)).
% 0.67/0.69 tff(a1853_type, type, (
% 0.67/0.69 a1853: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_35_type, type, (
% 0.67/0.69 tptp_fun__i_val_35: $i)).
% 0.67/0.69 tff(a1885_type, type, (
% 0.67/0.69 a1885: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_24_type, type, (
% 0.67/0.69 tptp_fun__i_val_24: $i)).
% 0.67/0.69 tff(a1822_type, type, (
% 0.67/0.69 a1822: $i)).
% 0.67/0.69 tff(hskp34_type, type, (
% 0.67/0.69 hskp34: $o)).
% 0.67/0.69 tff(hskp5_type, type, (
% 0.67/0.69 hskp5: $o)).
% 0.67/0.69 tff(hskp36_type, type, (
% 0.67/0.69 hskp36: $o)).
% 0.67/0.69 tff(hskp72_type, type, (
% 0.67/0.69 hskp72: $o)).
% 0.67/0.69 tff(hskp4_type, type, (
% 0.67/0.69 hskp4: $o)).
% 0.67/0.69 tff(hskp15_type, type, (
% 0.67/0.69 hskp15: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_30_type, type, (
% 0.67/0.69 tptp_fun__i_val_30: $i)).
% 0.67/0.69 tff(a1863_type, type, (
% 0.67/0.69 a1863: $i)).
% 0.67/0.69 tff(hskp60_type, type, (
% 0.67/0.69 hskp60: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_29_type, type, (
% 0.67/0.69 tptp_fun__i_val_29: $i)).
% 0.67/0.69 tff(a1842_type, type, (
% 0.67/0.69 a1842: $i)).
% 0.67/0.69 tff(hskp53_type, type, (
% 0.67/0.69 hskp53: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_16_type, type, (
% 0.67/0.69 tptp_fun__i_val_16: $i)).
% 0.67/0.69 tff(a1869_type, type, (
% 0.67/0.69 a1869: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_3_type, type, (
% 0.67/0.69 tptp_fun__i_val_3: $i)).
% 0.67/0.69 tff(a1837_type, type, (
% 0.67/0.69 a1837: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_1_type, type, (
% 0.67/0.69 tptp_fun__i_val_1: $i)).
% 0.67/0.69 tff(a1829_type, type, (
% 0.67/0.69 a1829: $i)).
% 0.67/0.69 tff(hskp58_type, type, (
% 0.67/0.69 hskp58: $o)).
% 0.67/0.69 tff(hskp55_type, type, (
% 0.67/0.69 hskp55: $o)).
% 0.67/0.69 tff(hskp23_type, type, (
% 0.67/0.69 hskp23: $o)).
% 0.67/0.69 tff(hskp56_type, type, (
% 0.67/0.69 hskp56: $o)).
% 0.67/0.69 tff(hskp70_type, type, (
% 0.67/0.69 hskp70: $o)).
% 0.67/0.69 tff(hskp74_type, type, (
% 0.67/0.69 hskp74: $o)).
% 0.67/0.69 tff(hskp42_type, type, (
% 0.67/0.69 hskp42: $o)).
% 0.67/0.69 tff(hskp52_type, type, (
% 0.67/0.69 hskp52: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_10_type, type, (
% 0.67/0.69 tptp_fun__i_val_10: $i)).
% 0.67/0.69 tff(a1851_type, type, (
% 0.67/0.69 a1851: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_12_type, type, (
% 0.67/0.69 tptp_fun__i_val_12: $i)).
% 0.67/0.69 tff(a1855_type, type, (
% 0.67/0.69 a1855: $i)).
% 0.67/0.69 tff(hskp41_type, type, (
% 0.67/0.69 hskp41: $o)).
% 0.67/0.69 tff(hskp71_type, type, (
% 0.67/0.69 hskp71: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_6_type, type, (
% 0.67/0.69 tptp_fun__i_val_6: $i)).
% 0.67/0.69 tff(a1844_type, type, (
% 0.67/0.69 a1844: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_17_type, type, (
% 0.67/0.69 tptp_fun__i_val_17: $i)).
% 0.67/0.69 tff(a1870_type, type, (
% 0.67/0.69 a1870: $i)).
% 0.67/0.69 tff(hskp64_type, type, (
% 0.67/0.69 hskp64: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_18_type, type, (
% 0.67/0.69 tptp_fun__i_val_18: $i)).
% 0.67/0.69 tff(a1872_type, type, (
% 0.67/0.69 a1872: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_23_type, type, (
% 0.67/0.69 tptp_fun__i_val_23: $i)).
% 0.67/0.69 tff(a1821_type, type, (
% 0.67/0.69 a1821: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_37_type, type, (
% 0.67/0.69 tptp_fun__i_val_37: $i)).
% 0.67/0.69 tff(a1897_type, type, (
% 0.67/0.69 a1897: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_33_type, type, (
% 0.67/0.69 tptp_fun__i_val_33: $i)).
% 0.67/0.69 tff(a1878_type, type, (
% 0.67/0.69 a1878: $i)).
% 0.67/0.69 tff(hskp27_type, type, (
% 0.67/0.69 hskp27: $o)).
% 0.67/0.69 tff(hskp37_type, type, (
% 0.67/0.69 hskp37: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_32_type, type, (
% 0.67/0.69 tptp_fun__i_val_32: $i)).
% 0.67/0.69 tff(a1868_type, type, (
% 0.67/0.69 a1868: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_34_type, type, (
% 0.67/0.69 tptp_fun__i_val_34: $i)).
% 0.67/0.69 tff(a1879_type, type, (
% 0.67/0.69 a1879: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_31_type, type, (
% 0.67/0.69 tptp_fun__i_val_31: $i)).
% 0.67/0.69 tff(a1867_type, type, (
% 0.67/0.69 a1867: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_9_type, type, (
% 0.67/0.69 tptp_fun__i_val_9: $i)).
% 0.67/0.69 tff(a1850_type, type, (
% 0.67/0.69 a1850: $i)).
% 0.67/0.69 tff(hskp30_type, type, (
% 0.67/0.69 hskp30: $o)).
% 0.67/0.69 tff(hskp39_type, type, (
% 0.67/0.69 hskp39: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_15_type, type, (
% 0.67/0.69 tptp_fun__i_val_15: $i)).
% 0.67/0.69 tff(a1866_type, type, (
% 0.67/0.69 a1866: $i)).
% 0.67/0.69 tff(hskp16_type, type, (
% 0.67/0.69 hskp16: $o)).
% 0.67/0.69 tff(hskp32_type, type, (
% 0.67/0.69 hskp32: $o)).
% 0.67/0.69 tff(hskp13_type, type, (
% 0.67/0.69 hskp13: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_8_type, type, (
% 0.67/0.69 tptp_fun__i_val_8: $i)).
% 0.67/0.69 tff(a1847_type, type, (
% 0.67/0.69 a1847: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_27_type, type, (
% 0.67/0.69 tptp_fun__i_val_27: $i)).
% 0.67/0.69 tff(a1835_type, type, (
% 0.67/0.69 a1835: $i)).
% 0.67/0.69 tff(ndr1_0_type, type, (
% 0.67/0.69 ndr1_0: $o)).
% 0.67/0.69 tff(hskp40_type, type, (
% 0.67/0.69 hskp40: $o)).
% 0.67/0.69 tff(hskp22_type, type, (
% 0.67/0.69 hskp22: $o)).
% 0.67/0.69 tff(hskp14_type, type, (
% 0.67/0.69 hskp14: $o)).
% 0.67/0.69 tff(hskp50_type, type, (
% 0.67/0.69 hskp50: $o)).
% 0.67/0.69 tff(hskp57_type, type, (
% 0.67/0.69 hskp57: $o)).
% 0.67/0.69 tff(hskp69_type, type, (
% 0.67/0.69 hskp69: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_7_type, type, (
% 0.67/0.69 tptp_fun__i_val_7: $i)).
% 0.67/0.69 tff(a1846_type, type, (
% 0.67/0.69 a1846: $i)).
% 0.67/0.69 tff(hskp0_type, type, (
% 0.67/0.69 hskp0: $o)).
% 0.67/0.69 tff(hskp49_type, type, (
% 0.67/0.69 hskp49: $o)).
% 0.67/0.69 tff(hskp24_type, type, (
% 0.67/0.69 hskp24: $o)).
% 0.67/0.69 tff(hskp6_type, type, (
% 0.67/0.69 hskp6: $o)).
% 0.67/0.69 tff(hskp66_type, type, (
% 0.67/0.69 hskp66: $o)).
% 0.67/0.69 tff(hskp73_type, type, (
% 0.67/0.69 hskp73: $o)).
% 0.67/0.69 tff(hskp61_type, type, (
% 0.67/0.69 hskp61: $o)).
% 0.67/0.69 tff(hskp63_type, type, (
% 0.67/0.69 hskp63: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_38_type, type, (
% 0.67/0.69 tptp_fun__i_val_38: $i)).
% 0.67/0.69 tff(a1899_type, type, (
% 0.67/0.69 a1899: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_0_type, type, (
% 0.67/0.69 tptp_fun__i_val_0: $i)).
% 0.67/0.69 tff(a1818_type, type, (
% 0.67/0.69 a1818: $i)).
% 0.67/0.69 tff(hskp45_type, type, (
% 0.67/0.69 hskp45: $o)).
% 0.67/0.69 tff(hskp2_type, type, (
% 0.67/0.69 hskp2: $o)).
% 0.67/0.69 tff(hskp43_type, type, (
% 0.67/0.69 hskp43: $o)).
% 0.67/0.69 tff(hskp7_type, type, (
% 0.67/0.69 hskp7: $o)).
% 0.67/0.69 tff(hskp33_type, type, (
% 0.67/0.69 hskp33: $o)).
% 0.67/0.69 tff(hskp51_type, type, (
% 0.67/0.69 hskp51: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_19_type, type, (
% 0.67/0.69 tptp_fun__i_val_19: $i)).
% 0.67/0.69 tff(a1875_type, type, (
% 0.67/0.69 a1875: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_20_type, type, (
% 0.67/0.69 tptp_fun__i_val_20: $i)).
% 0.67/0.69 tff(a1882_type, type, (
% 0.67/0.69 a1882: $i)).
% 0.67/0.69 tff(hskp1_type, type, (
% 0.67/0.69 hskp1: $o)).
% 0.67/0.69 tff(hskp17_type, type, (
% 0.67/0.69 hskp17: $o)).
% 0.67/0.69 tff(hskp67_type, type, (
% 0.67/0.69 hskp67: $o)).
% 0.67/0.69 tff(hskp20_type, type, (
% 0.67/0.69 hskp20: $o)).
% 0.67/0.69 tff(hskp47_type, type, (
% 0.67/0.69 hskp47: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_28_type, type, (
% 0.67/0.69 tptp_fun__i_val_28: $i)).
% 0.67/0.69 tff(a1839_type, type, (
% 0.67/0.69 a1839: $i)).
% 0.67/0.69 tff(hskp31_type, type, (
% 0.67/0.69 hskp31: $o)).
% 0.67/0.69 tff(hskp68_type, type, (
% 0.67/0.69 hskp68: $o)).
% 0.67/0.69 tff(hskp12_type, type, (
% 0.67/0.69 hskp12: $o)).
% 0.67/0.69 tff(hskp19_type, type, (
% 0.67/0.69 hskp19: $o)).
% 0.67/0.69 tff(hskp46_type, type, (
% 0.67/0.69 hskp46: $o)).
% 0.67/0.69 tff(hskp38_type, type, (
% 0.67/0.69 hskp38: $o)).
% 0.67/0.69 tff(hskp44_type, type, (
% 0.67/0.69 hskp44: $o)).
% 0.67/0.69 tff(hskp35_type, type, (
% 0.67/0.69 hskp35: $o)).
% 0.67/0.69 tff(hskp3_type, type, (
% 0.67/0.69 hskp3: $o)).
% 0.67/0.69 tff(hskp62_type, type, (
% 0.67/0.69 hskp62: $o)).
% 0.67/0.69 tff(hskp18_type, type, (
% 0.67/0.69 hskp18: $o)).
% 0.67/0.69 tff(hskp8_type, type, (
% 0.67/0.69 hskp8: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_13_type, type, (
% 0.67/0.69 tptp_fun__i_val_13: $i)).
% 0.67/0.69 tff(a1856_type, type, (
% 0.67/0.69 a1856: $i)).
% 0.67/0.69 tff(tptp_fun__i_val_5_type, type, (
% 0.67/0.69 tptp_fun__i_val_5: $i)).
% 0.67/0.69 tff(a1843_type, type, (
% 0.67/0.69 a1843: $i)).
% 0.67/0.69 tff(hskp65_type, type, (
% 0.67/0.69 hskp65: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_36_type, type, (
% 0.67/0.69 tptp_fun__i_val_36: $i)).
% 0.67/0.69 tff(a1894_type, type, (
% 0.67/0.69 a1894: $i)).
% 0.67/0.69 tff(hskp25_type, type, (
% 0.67/0.69 hskp25: $o)).
% 0.67/0.69 tff(hskp9_type, type, (
% 0.67/0.69 hskp9: $o)).
% 0.67/0.69 tff(hskp29_type, type, (
% 0.67/0.69 hskp29: $o)).
% 0.67/0.69 tff(tptp_fun__i_val_14_type, type, (
% 0.67/0.69 tptp_fun__i_val_14: $i)).
% 0.67/0.69 tff(a1859_type, type, (
% 0.67/0.69 a1859: $i)).
% 0.67/0.69 tff(k!0_type, type, (
% 0.67/0.69 k!0: $i > $i)).
% 0.67/0.69 tff(c3_1_type, type, (
% 0.67/0.69 c3_1: $i > $o)).
% 0.67/0.69 tff(c1_1_type, type, (
% 0.67/0.69 c1_1: $i > $o)).
% 0.67/0.69 tff(c0_1_type, type, (
% 0.67/0.69 c0_1: $i > $o)).
% 0.67/0.69 tff(c2_1_type, type, (
% 0.67/0.69 c2_1: $i > $o)).
% 0.67/0.69 tff(formula1, axiom,
% 0.67/0.69 hskp10 <=> $false).
% 0.67/0.69 tff(formula2, axiom,
% 0.67/0.69 a1833 = $i!val!2).
% 0.67/0.69 tff(formula3, axiom,
% 0.67/0.69 hskp75 <=> $false).
% 0.67/0.69 tff(formula4, axiom,
% 0.67/0.69 a1834 = $i!val!26).
% 0.67/0.69 tff(formula5, axiom,
% 0.67/0.69 hskp21 <=> $false).
% 0.67/0.69 tff(formula6, axiom,
% 0.67/0.69 a1830 = $i!val!25).
% 0.67/0.69 tff(formula7, axiom,
% 0.67/0.69 hskp26 <=> $true).
% 0.67/0.69 tff(formula8, axiom,
% 0.67/0.69 hskp59 <=> $false).
% 0.67/0.69 tff(formula9, axiom,
% 0.67/0.69 a1840 = $i!val!4).
% 0.67/0.69 tff(formula10, axiom,
% 0.67/0.69 a1820 = $i!val!22).
% 0.67/0.69 tff(formula11, axiom,
% 0.67/0.69 hskp48 <=> $false).
% 0.67/0.69 tff(formula12, axiom,
% 0.67/0.69 a1900 = $i!val!21).
% 0.67/0.69 tff(formula13, axiom,
% 0.67/0.69 a1853 = $i!val!11).
% 0.67/0.69 tff(formula14, axiom,
% 0.67/0.69 a1885 = $i!val!35).
% 0.67/0.69 tff(formula15, axiom,
% 0.67/0.69 a1822 = $i!val!24).
% 0.67/0.69 tff(formula16, axiom,
% 0.67/0.69 hskp34 <=> $false).
% 0.67/0.69 tff(formula17, axiom,
% 0.67/0.69 hskp5 <=> $false).
% 0.67/0.69 tff(formula18, axiom,
% 0.67/0.69 hskp36 <=> $false).
% 0.67/0.69 tff(formula19, axiom,
% 0.67/0.69 hskp72 <=> $true).
% 0.67/0.69 tff(formula20, axiom,
% 0.67/0.69 hskp4 <=> $true).
% 0.67/0.69 tff(formula21, axiom,
% 0.67/0.69 hskp15 <=> $true).
% 0.67/0.69 tff(formula22, axiom,
% 0.67/0.69 a1863 = $i!val!30).
% 0.67/0.69 tff(formula23, axiom,
% 0.67/0.69 hskp60 <=> $false).
% 0.67/0.69 tff(formula24, axiom,
% 0.67/0.69 a1842 = $i!val!29).
% 0.67/0.69 tff(formula25, axiom,
% 0.67/0.69 hskp53 <=> $false).
% 0.67/0.69 tff(formula26, axiom,
% 0.67/0.69 a1869 = $i!val!16).
% 0.67/0.69 tff(formula27, axiom,
% 0.67/0.69 a1837 = $i!val!3).
% 0.67/0.69 tff(formula28, axiom,
% 0.67/0.69 a1829 = $i!val!1).
% 0.67/0.69 tff(formula29, axiom,
% 0.67/0.69 hskp58 <=> $false).
% 0.67/0.69 tff(formula30, axiom,
% 0.67/0.69 hskp55 <=> $true).
% 0.67/0.69 tff(formula31, axiom,
% 0.67/0.69 hskp23 <=> $true).
% 0.67/0.69 tff(formula32, axiom,
% 0.67/0.69 hskp56 <=> $false).
% 0.67/0.69 tff(formula33, axiom,
% 0.67/0.69 hskp70 <=> $false).
% 0.67/0.69 tff(formula34, axiom,
% 0.67/0.69 hskp74 <=> $true).
% 0.67/0.69 tff(formula35, axiom,
% 0.67/0.69 hskp42 <=> $false).
% 0.67/0.69 tff(formula36, axiom,
% 0.67/0.69 hskp52 <=> $false).
% 0.67/0.69 tff(formula37, axiom,
% 0.67/0.69 a1851 = $i!val!10).
% 0.67/0.69 tff(formula38, axiom,
% 0.67/0.69 a1855 = $i!val!12).
% 0.67/0.69 tff(formula39, axiom,
% 0.67/0.69 hskp41 <=> $false).
% 0.67/0.69 tff(formula40, axiom,
% 0.67/0.69 hskp71 <=> $true).
% 0.67/0.69 tff(formula41, axiom,
% 0.67/0.69 a1844 = $i!val!6).
% 0.67/0.69 tff(formula42, axiom,
% 0.67/0.69 a1870 = $i!val!17).
% 0.67/0.69 tff(formula43, axiom,
% 0.67/0.69 hskp64 <=> $false).
% 0.67/0.69 tff(formula44, axiom,
% 0.67/0.69 a1872 = $i!val!18).
% 0.67/0.69 tff(formula45, axiom,
% 0.67/0.69 a1821 = $i!val!23).
% 0.67/0.69 tff(formula46, axiom,
% 0.67/0.69 a1897 = $i!val!37).
% 0.67/0.69 tff(formula47, axiom,
% 0.67/0.69 a1878 = $i!val!33).
% 0.67/0.69 tff(formula48, axiom,
% 0.67/0.69 hskp27 <=> $true).
% 0.67/0.69 tff(formula49, axiom,
% 0.67/0.69 hskp37 <=> $false).
% 0.67/0.69 tff(formula50, axiom,
% 0.67/0.69 a1868 = $i!val!32).
% 0.67/0.69 tff(formula51, axiom,
% 0.67/0.69 a1879 = $i!val!34).
% 0.67/0.69 tff(formula52, axiom,
% 0.67/0.69 a1867 = $i!val!31).
% 0.67/0.69 tff(formula53, axiom,
% 0.67/0.69 a1850 = $i!val!9).
% 0.67/0.69 tff(formula54, axiom,
% 0.67/0.69 hskp30 <=> $false).
% 0.67/0.69 tff(formula55, axiom,
% 0.67/0.69 hskp39 <=> $false).
% 0.67/0.69 tff(formula56, axiom,
% 0.67/0.69 a1866 = $i!val!15).
% 0.67/0.69 tff(formula57, axiom,
% 0.67/0.69 hskp16 <=> $true).
% 0.67/0.69 tff(formula58, axiom,
% 0.67/0.69 hskp32 <=> $false).
% 0.67/0.69 tff(formula59, axiom,
% 0.67/0.69 hskp13 <=> $false).
% 0.67/0.69 tff(formula60, axiom,
% 0.67/0.69 a1847 = $i!val!8).
% 0.67/0.69 tff(formula61, axiom,
% 0.67/0.69 a1835 = $i!val!27).
% 0.67/0.69 tff(formula62, axiom,
% 0.67/0.69 ndr1_0 <=> $true).
% 0.67/0.69 tff(formula63, axiom,
% 0.67/0.69 hskp40 <=> $true).
% 0.67/0.69 tff(formula64, axiom,
% 0.67/0.69 hskp22 <=> $false).
% 0.67/0.69 tff(formula65, axiom,
% 0.67/0.69 hskp14 <=> $true).
% 0.67/0.69 tff(formula66, axiom,
% 0.67/0.69 hskp50 <=> $true).
% 0.67/0.69 tff(formula67, axiom,
% 0.67/0.69 hskp57 <=> $false).
% 0.67/0.69 tff(formula68, axiom,
% 0.67/0.69 hskp69 <=> $false).
% 0.67/0.69 tff(formula69, axiom,
% 0.67/0.69 a1846 = $i!val!7).
% 0.67/0.69 tff(formula70, axiom,
% 0.67/0.69 hskp0 <=> $true).
% 0.67/0.69 tff(formula71, axiom,
% 0.67/0.69 hskp49 <=> $true).
% 0.67/0.69 tff(formula72, axiom,
% 0.67/0.69 hskp24 <=> $false).
% 0.67/0.69 tff(formula73, axiom,
% 0.67/0.69 hskp6 <=> $false).
% 0.67/0.69 tff(formula74, axiom,
% 0.67/0.69 hskp66 <=> $true).
% 0.67/0.69 tff(formula75, axiom,
% 0.67/0.69 hskp73 <=> $false).
% 0.67/0.69 tff(formula76, axiom,
% 0.67/0.69 hskp61 <=> $true).
% 0.67/0.69 tff(formula77, axiom,
% 0.67/0.69 hskp63 <=> $false).
% 0.67/0.69 tff(formula78, axiom,
% 0.67/0.69 a1899 = $i!val!38).
% 0.67/0.69 tff(formula79, axiom,
% 0.67/0.69 a1818 = $i!val!0).
% 0.67/0.69 tff(formula80, axiom,
% 0.67/0.69 hskp45 <=> $true).
% 0.67/0.69 tff(formula81, axiom,
% 0.67/0.69 hskp2 <=> $false).
% 0.67/0.69 tff(formula82, axiom,
% 0.67/0.69 hskp43 <=> $true).
% 0.67/0.69 tff(formula83, axiom,
% 0.67/0.69 hskp7 <=> $true).
% 0.67/0.69 tff(formula84, axiom,
% 0.67/0.69 hskp33 <=> $false).
% 0.67/0.69 tff(formula85, axiom,
% 0.67/0.69 hskp51 <=> $true).
% 0.67/0.69 tff(formula86, axiom,
% 0.67/0.69 a1875 = $i!val!19).
% 0.67/0.69 tff(formula87, axiom,
% 0.67/0.69 a1882 = $i!val!20).
% 0.67/0.69 tff(formula88, axiom,
% 0.67/0.69 hskp1 <=> $false).
% 0.67/0.69 tff(formula89, axiom,
% 0.67/0.69 hskp17 <=> $true).
% 0.67/0.69 tff(formula90, axiom,
% 0.67/0.69 hskp67 <=> $true).
% 0.67/0.69 tff(formula91, axiom,
% 0.67/0.69 hskp20 <=> $true).
% 0.67/0.69 tff(formula92, axiom,
% 0.67/0.69 hskp47 <=> $false).
% 0.67/0.69 tff(formula93, axiom,
% 0.67/0.69 a1839 = $i!val!28).
% 0.67/0.69 tff(formula94, axiom,
% 0.67/0.69 hskp31 <=> $true).
% 0.67/0.69 tff(formula95, axiom,
% 0.67/0.69 hskp68 <=> $false).
% 0.67/0.69 tff(formula96, axiom,
% 0.67/0.69 hskp12 <=> $true).
% 0.67/0.69 tff(formula97, axiom,
% 0.67/0.69 hskp19 <=> $true).
% 0.67/0.69 tff(formula98, axiom,
% 0.67/0.69 hskp46 <=> $false).
% 0.67/0.69 tff(formula99, axiom,
% 0.67/0.69 hskp38 <=> $false).
% 0.67/0.69 tff(formula100, axiom,
% 0.67/0.69 hskp44 <=> $true).
% 0.67/0.69 tff(formula101, axiom,
% 0.67/0.69 hskp35 <=> $false).
% 0.67/0.69 tff(formula102, axiom,
% 0.67/0.69 hskp3 <=> $false).
% 0.67/0.69 tff(formula103, axiom,
% 0.67/0.69 hskp62 <=> $true).
% 0.67/0.69 tff(formula104, axiom,
% 0.67/0.69 hskp18 <=> $false).
% 0.67/0.69 tff(formula105, axiom,
% 0.67/0.69 hskp8 <=> $true).
% 0.67/0.69 tff(formula106, axiom,
% 0.67/0.69 a1856 = $i!val!13).
% 0.67/0.69 tff(formula107, axiom,
% 0.67/0.69 a1843 = $i!val!5).
% 0.67/0.69 tff(formula108, axiom,
% 0.67/0.69 hskp65 <=> $false).
% 0.67/0.69 tff(formula109, axiom,
% 0.67/0.69 a1894 = $i!val!36).
% 0.67/0.69 tff(formula110, axiom,
% 0.67/0.69 hskp25 <=> $false).
% 0.67/0.69 tff(formula111, axiom,
% 0.67/0.69 hskp9 <=> $false).
% 0.67/0.69 tff(formula112, axiom,
% 0.67/0.69 hskp29 <=> $true).
% 0.67/0.69 tff(formula113, axiom,
% 0.67/0.69 a1859 = $i!val!14).
% 0.67/0.69 tff(formula114, axiom,
% 0.67/0.69 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!33) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!35) | (k!0(X0) = $i!val!37) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!36) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!29) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!11)))).
% 0.67/0.69 tff(formula115, axiom,
% 0.67/0.69 k!0($i!val!26) = $i!val!26).
% 0.67/0.69 tff(formula116, axiom,
% 0.67/0.69 k!0($i!val!7) = $i!val!7).
% 0.67/0.69 tff(formula117, axiom,
% 0.67/0.69 k!0($i!val!28) = $i!val!28).
% 0.67/0.69 tff(formula118, axiom,
% 0.67/0.69 k!0($i!val!10) = $i!val!10).
% 0.67/0.69 tff(formula119, axiom,
% 0.67/0.69 k!0($i!val!25) = $i!val!25).
% 0.67/0.69 tff(formula120, axiom,
% 0.67/0.69 k!0($i!val!12) = $i!val!12).
% 0.67/0.69 tff(formula121, axiom,
% 0.67/0.69 k!0($i!val!38) = $i!val!38).
% 0.67/0.69 tff(formula122, axiom,
% 0.67/0.69 k!0($i!val!4) = $i!val!4).
% 0.67/0.69 tff(formula123, axiom,
% 0.67/0.69 k!0($i!val!17) = $i!val!17).
% 0.67/0.69 tff(formula124, axiom,
% 0.67/0.69 k!0($i!val!22) = $i!val!22).
% 0.67/0.69 tff(formula125, axiom,
% 0.67/0.69 k!0($i!val!6) = $i!val!6).
% 0.67/0.69 tff(formula126, axiom,
% 0.67/0.69 k!0($i!val!0) = $i!val!0).
% 0.67/0.69 tff(formula127, axiom,
% 0.67/0.69 k!0($i!val!23) = $i!val!23).
% 0.67/0.69 tff(formula128, axiom,
% 0.67/0.69 k!0($i!val!11) = $i!val!11).
% 0.67/0.69 tff(formula129, axiom,
% 0.67/0.69 k!0($i!val!24) = $i!val!24).
% 0.67/0.69 tff(formula130, axiom,
% 0.67/0.69 k!0($i!val!35) = $i!val!35).
% 0.67/0.69 tff(formula131, axiom,
% 0.67/0.69 k!0($i!val!37) = $i!val!37).
% 0.67/0.69 tff(formula132, axiom,
% 0.67/0.69 k!0($i!val!18) = $i!val!18).
% 0.67/0.69 tff(formula133, axiom,
% 0.67/0.69 k!0($i!val!21) = $i!val!21).
% 0.67/0.69 tff(formula134, axiom,
% 0.67/0.69 k!0($i!val!33) = $i!val!33).
% 0.67/0.69 tff(formula135, axiom,
% 0.67/0.69 k!0($i!val!32) = $i!val!32).
% 0.67/0.69 tff(formula136, axiom,
% 0.67/0.69 k!0($i!val!34) = $i!val!34).
% 0.67/0.69 tff(formula137, axiom,
% 0.67/0.69 k!0($i!val!31) = $i!val!31).
% 0.67/0.69 tff(formula138, axiom,
% 0.67/0.69 k!0($i!val!30) = $i!val!30).
% 0.67/0.69 tff(formula139, axiom,
% 0.67/0.69 k!0($i!val!9) = $i!val!9).
% 0.67/0.69 tff(formula140, axiom,
% 0.67/0.69 k!0($i!val!29) = $i!val!29).
% 0.67/0.69 tff(formula141, axiom,
% 0.67/0.69 k!0($i!val!19) = $i!val!19).
% 0.67/0.69 tff(formula142, axiom,
% 0.67/0.69 k!0($i!val!16) = $i!val!16).
% 0.67/0.69 tff(formula143, axiom,
% 0.67/0.69 k!0($i!val!8) = $i!val!8).
% 0.67/0.69 tff(formula144, axiom,
% 0.67/0.69 k!0($i!val!13) = $i!val!13).
% 0.67/0.69 tff(formula145, axiom,
% 0.67/0.69 k!0($i!val!5) = $i!val!5).
% 0.67/0.69 tff(formula146, axiom,
% 0.67/0.69 k!0($i!val!15) = $i!val!15).
% 0.67/0.69 tff(formula147, axiom,
% 0.67/0.69 k!0($i!val!20) = $i!val!20).
% 0.67/0.69 tff(formula148, axiom,
% 0.67/0.69 k!0($i!val!36) = $i!val!36).
% 0.67/0.69 tff(formula149, axiom,
% 0.67/0.69 k!0($i!val!27) = $i!val!27).
% 0.67/0.69 tff(formula150, axiom,
% 0.67/0.69 k!0($i!val!3) = $i!val!3).
% 0.67/0.69 tff(formula151, axiom,
% 0.67/0.69 k!0($i!val!1) = $i!val!1).
% 0.67/0.69 tff(formula152, axiom,
% 0.67/0.69 k!0($i!val!14) = $i!val!14).
% 0.67/0.69 tff(formula153, axiom,
% 0.67/0.69 ![X0: $i] : ((~((($i!val!26 = X0)) | (($i!val!7 = X0)) | (($i!val!28 = X0)) | (($i!val!10 = X0)) | (($i!val!25 = X0)) | (($i!val!12 = X0)) | (($i!val!38 = X0)) | (($i!val!4 = X0)) | (($i!val!17 = X0)) | (($i!val!22 = X0)) | (($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!23 = X0)) | (($i!val!11 = X0)) | (($i!val!24 = X0)) | (($i!val!35 = X0)) | (($i!val!37 = X0)) | (($i!val!18 = X0)) | (($i!val!21 = X0)) | (($i!val!33 = X0)) | (($i!val!32 = X0)) | (($i!val!34 = X0)) | (($i!val!31 = X0)) | (($i!val!30 = X0)) | (($i!val!9 = X0)) | (($i!val!29 = X0)) | (($i!val!19 = X0)) | (($i!val!16 = X0)) | (($i!val!8 = X0)) | (($i!val!13 = X0)) | (($i!val!5 = X0)) | (($i!val!15 = X0)) | (($i!val!20 = X0)) | (($i!val!36 = X0)) | (($i!val!27 = X0)) | (($i!val!3 = X0)) | (($i!val!1 = X0)) | (($i!val!14 = X0)))) => (k!0(X0) = $i!val!2))).
% 0.67/0.69 tff(formula154, axiom,
% 0.67/0.69 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!34) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!28) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!38)))).
% 0.67/0.70 tff(formula155, axiom,
% 0.67/0.70 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!36) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!29) | (k!0(X0) = $i!val!32) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!38) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!11)))).
% 0.67/0.70 tff(formula156, axiom,
% 0.67/0.70 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!35) | (k!0(X0) = $i!val!37) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!11)))).
% 0.67/0.70 % SZS output end Model
%------------------------------------------------------------------------------