TSTP Solution File: SYN420+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN420+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 23:55:15 EDT 2022
% Result : CounterSatisfiable 2.51s 1.87s
% Output : Model 2.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN420+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 03:17:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 2.51/1.87 % SZS status CounterSatisfiable
% 2.51/1.87 % SZS output start Model
% 2.51/1.87 tff(c10_0_type, type, (
% 2.51/1.87 c10_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_41_type, type, (
% 2.51/1.87 tptp_fun__i_val_41: $i)).
% 2.51/1.87 tff(a364_type, type, (
% 2.51/1.87 a364: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_31_type, type, (
% 2.51/1.87 tptp_fun__i_val_31: $i)).
% 2.51/1.87 tff(a339_type, type, (
% 2.51/1.87 a339: $i)).
% 2.51/1.87 tff(ndr1_0_type, type, (
% 2.51/1.87 ndr1_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_15_type, type, (
% 2.51/1.87 tptp_fun__i_val_15: $i)).
% 2.51/1.87 tff(a307_type, type, (
% 2.51/1.87 a307: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_37_type, type, (
% 2.51/1.87 tptp_fun__i_val_37: $i)).
% 2.51/1.87 tff(a351_type, type, (
% 2.51/1.87 a351: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_35_type, type, (
% 2.51/1.87 tptp_fun__i_val_35: $i)).
% 2.51/1.87 tff(a346_type, type, (
% 2.51/1.87 a346: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_43_type, type, (
% 2.51/1.87 tptp_fun__i_val_43: $i)).
% 2.51/1.87 tff(a368_type, type, (
% 2.51/1.87 a368: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_27_type, type, (
% 2.51/1.87 tptp_fun__i_val_27: $i)).
% 2.51/1.87 tff(a326_type, type, (
% 2.51/1.87 a326: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_58_type, type, (
% 2.51/1.87 tptp_fun__i_val_58: $i)).
% 2.51/1.87 tff(a442_type, type, (
% 2.51/1.87 a442: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_61_type, type, (
% 2.51/1.87 tptp_fun__i_val_61: $i)).
% 2.51/1.87 tff(a336_type, type, (
% 2.51/1.87 a336: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_56_type, type, (
% 2.51/1.87 tptp_fun__i_val_56: $i)).
% 2.51/1.87 tff(a425_type, type, (
% 2.51/1.87 a425: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_36_type, type, (
% 2.51/1.87 tptp_fun__i_val_36: $i)).
% 2.51/1.87 tff(a350_type, type, (
% 2.51/1.87 a350: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_40_type, type, (
% 2.51/1.87 tptp_fun__i_val_40: $i)).
% 2.51/1.87 tff(a360_type, type, (
% 2.51/1.87 a360: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_12_type, type, (
% 2.51/1.87 tptp_fun__i_val_12: $i)).
% 2.51/1.87 tff(a294_type, type, (
% 2.51/1.87 a294: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_44_type, type, (
% 2.51/1.87 tptp_fun__i_val_44: $i)).
% 2.51/1.87 tff(a374_type, type, (
% 2.51/1.87 a374: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_50_type, type, (
% 2.51/1.87 tptp_fun__i_val_50: $i)).
% 2.51/1.87 tff(a398_type, type, (
% 2.51/1.87 a398: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_14_type, type, (
% 2.51/1.87 tptp_fun__i_val_14: $i)).
% 2.51/1.87 tff(a300_type, type, (
% 2.51/1.87 a300: $i)).
% 2.51/1.87 tff(c6_0_type, type, (
% 2.51/1.87 c6_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_62_type, type, (
% 2.51/1.87 tptp_fun__i_val_62: $i)).
% 2.51/1.87 tff(a363_type, type, (
% 2.51/1.87 a363: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_42_type, type, (
% 2.51/1.87 tptp_fun__i_val_42: $i)).
% 2.51/1.87 tff(a367_type, type, (
% 2.51/1.87 a367: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_47_type, type, (
% 2.51/1.87 tptp_fun__i_val_47: $i)).
% 2.51/1.87 tff(a376_type, type, (
% 2.51/1.87 a376: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_23_type, type, (
% 2.51/1.87 tptp_fun__i_val_23: $i)).
% 2.51/1.87 tff(a322_type, type, (
% 2.51/1.87 a322: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_38_type, type, (
% 2.51/1.87 tptp_fun__i_val_38: $i)).
% 2.51/1.87 tff(a352_type, type, (
% 2.51/1.87 a352: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_39_type, type, (
% 2.51/1.87 tptp_fun__i_val_39: $i)).
% 2.51/1.87 tff(a353_type, type, (
% 2.51/1.87 a353: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_55_type, type, (
% 2.51/1.87 tptp_fun__i_val_55: $i)).
% 2.51/1.87 tff(a424_type, type, (
% 2.51/1.87 a424: $i)).
% 2.51/1.87 tff(c9_0_type, type, (
% 2.51/1.87 c9_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_54_type, type, (
% 2.51/1.87 tptp_fun__i_val_54: $i)).
% 2.51/1.87 tff(a415_type, type, (
% 2.51/1.87 a415: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_52_type, type, (
% 2.51/1.87 tptp_fun__i_val_52: $i)).
% 2.51/1.87 tff(a406_type, type, (
% 2.51/1.87 a406: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_30_type, type, (
% 2.51/1.87 tptp_fun__i_val_30: $i)).
% 2.51/1.87 tff(a331_type, type, (
% 2.51/1.87 a331: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_13_type, type, (
% 2.51/1.87 tptp_fun__i_val_13: $i)).
% 2.51/1.87 tff(a296_type, type, (
% 2.51/1.87 a296: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_57_type, type, (
% 2.51/1.87 tptp_fun__i_val_57: $i)).
% 2.51/1.87 tff(a431_type, type, (
% 2.51/1.87 a431: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_10_type, type, (
% 2.51/1.87 tptp_fun__i_val_10: $i)).
% 2.51/1.87 tff(a289_type, type, (
% 2.51/1.87 a289: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_3_type, type, (
% 2.51/1.87 tptp_fun__i_val_3: $i)).
% 2.51/1.87 tff(a273_type, type, (
% 2.51/1.87 a273: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_25_type, type, (
% 2.51/1.87 tptp_fun__i_val_25: $i)).
% 2.51/1.87 tff(a323_type, type, (
% 2.51/1.87 a323: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_2_type, type, (
% 2.51/1.87 tptp_fun__i_val_2: $i)).
% 2.51/1.87 tff(a272_type, type, (
% 2.51/1.87 a272: $i)).
% 2.51/1.87 tff(c4_0_type, type, (
% 2.51/1.87 c4_0: $o)).
% 2.51/1.87 tff(c3_0_type, type, (
% 2.51/1.87 c3_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_26_type, type, (
% 2.51/1.87 tptp_fun__i_val_26: $i)).
% 2.51/1.87 tff(a325_type, type, (
% 2.51/1.87 a325: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_59_type, type, (
% 2.51/1.87 tptp_fun__i_val_59: $i)).
% 2.51/1.87 tff(a338_type, type, (
% 2.51/1.87 a338: $i)).
% 2.51/1.87 tff(c8_0_type, type, (
% 2.51/1.87 c8_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_17_type, type, (
% 2.51/1.87 tptp_fun__i_val_17: $i)).
% 2.51/1.87 tff(a311_type, type, (
% 2.51/1.87 a311: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_49_type, type, (
% 2.51/1.87 tptp_fun__i_val_49: $i)).
% 2.51/1.87 tff(a394_type, type, (
% 2.51/1.87 a394: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_51_type, type, (
% 2.51/1.87 tptp_fun__i_val_51: $i)).
% 2.51/1.87 tff(a405_type, type, (
% 2.51/1.87 a405: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_0_type, type, (
% 2.51/1.87 tptp_fun__i_val_0: $i)).
% 2.51/1.87 tff(a269_type, type, (
% 2.51/1.87 a269: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_1_type, type, (
% 2.51/1.87 tptp_fun__i_val_1: $i)).
% 2.51/1.87 tff(a270_type, type, (
% 2.51/1.87 a270: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_7_type, type, (
% 2.51/1.87 tptp_fun__i_val_7: $i)).
% 2.51/1.87 tff(a284_type, type, (
% 2.51/1.87 a284: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_20_type, type, (
% 2.51/1.87 tptp_fun__i_val_20: $i)).
% 2.51/1.87 tff(a315_type, type, (
% 2.51/1.87 a315: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_24_type, type, (
% 2.51/1.87 tptp_fun__i_val_24: $i)).
% 2.51/1.87 tff(a321_type, type, (
% 2.51/1.87 a321: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_16_type, type, (
% 2.51/1.87 tptp_fun__i_val_16: $i)).
% 2.51/1.87 tff(a310_type, type, (
% 2.51/1.87 a310: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_22_type, type, (
% 2.51/1.87 tptp_fun__i_val_22: $i)).
% 2.51/1.87 tff(a320_type, type, (
% 2.51/1.87 a320: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_48_type, type, (
% 2.51/1.87 tptp_fun__i_val_48: $i)).
% 2.51/1.87 tff(a384_type, type, (
% 2.51/1.87 a384: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_32_type, type, (
% 2.51/1.87 tptp_fun__i_val_32: $i)).
% 2.51/1.87 tff(a340_type, type, (
% 2.51/1.87 a340: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_21_type, type, (
% 2.51/1.87 tptp_fun__i_val_21: $i)).
% 2.51/1.87 tff(a319_type, type, (
% 2.51/1.87 a319: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_18_type, type, (
% 2.51/1.87 tptp_fun__i_val_18: $i)).
% 2.51/1.87 tff(a313_type, type, (
% 2.51/1.87 a313: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_4_type, type, (
% 2.51/1.87 tptp_fun__i_val_4: $i)).
% 2.51/1.87 tff(a277_type, type, (
% 2.51/1.87 a277: $i)).
% 2.51/1.87 tff(c7_0_type, type, (
% 2.51/1.87 c7_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_29_type, type, (
% 2.51/1.87 tptp_fun__i_val_29: $i)).
% 2.51/1.87 tff(a330_type, type, (
% 2.51/1.87 a330: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_33_type, type, (
% 2.51/1.87 tptp_fun__i_val_33: $i)).
% 2.51/1.87 tff(a341_type, type, (
% 2.51/1.87 a341: $i)).
% 2.51/1.87 tff(c1_0_type, type, (
% 2.51/1.87 c1_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_6_type, type, (
% 2.51/1.87 tptp_fun__i_val_6: $i)).
% 2.51/1.87 tff(a283_type, type, (
% 2.51/1.87 a283: $i)).
% 2.51/1.87 tff(c2_0_type, type, (
% 2.51/1.87 c2_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_46_type, type, (
% 2.51/1.87 tptp_fun__i_val_46: $i)).
% 2.51/1.87 tff(a377_type, type, (
% 2.51/1.87 a377: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_11_type, type, (
% 2.51/1.87 tptp_fun__i_val_11: $i)).
% 2.51/1.87 tff(a290_type, type, (
% 2.51/1.87 a290: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_53_type, type, (
% 2.51/1.87 tptp_fun__i_val_53: $i)).
% 2.51/1.87 tff(a414_type, type, (
% 2.51/1.87 a414: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_34_type, type, (
% 2.51/1.87 tptp_fun__i_val_34: $i)).
% 2.51/1.87 tff(a345_type, type, (
% 2.51/1.87 a345: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_28_type, type, (
% 2.51/1.87 tptp_fun__i_val_28: $i)).
% 2.51/1.87 tff(a329_type, type, (
% 2.51/1.87 a329: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_8_type, type, (
% 2.51/1.87 tptp_fun__i_val_8: $i)).
% 2.51/1.87 tff(a287_type, type, (
% 2.51/1.87 a287: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_19_type, type, (
% 2.51/1.87 tptp_fun__i_val_19: $i)).
% 2.51/1.87 tff(a314_type, type, (
% 2.51/1.87 a314: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_9_type, type, (
% 2.51/1.87 tptp_fun__i_val_9: $i)).
% 2.51/1.87 tff(a288_type, type, (
% 2.51/1.87 a288: $i)).
% 2.51/1.87 tff(c5_0_type, type, (
% 2.51/1.87 c5_0: $o)).
% 2.51/1.87 tff(tptp_fun__i_val_45_type, type, (
% 2.51/1.87 tptp_fun__i_val_45: $i)).
% 2.51/1.87 tff(a375_type, type, (
% 2.51/1.87 a375: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_60_type, type, (
% 2.51/1.87 tptp_fun__i_val_60: $i)).
% 2.51/1.87 tff(a428_type, type, (
% 2.51/1.87 a428: $i)).
% 2.51/1.87 tff(tptp_fun__i_val_5_type, type, (
% 2.51/1.87 tptp_fun__i_val_5: $i)).
% 2.51/1.87 tff(a282_type, type, (
% 2.51/1.87 a282: $i)).
% 2.51/1.87 tff(k!1707_type, type, (
% 2.51/1.87 k!1707: $i > $i)).
% 2.51/1.87 tff(c4_1_type, type, (
% 2.51/1.87 c4_1: $i > $o)).
% 2.51/1.87 tff(k!1706_type, type, (
% 2.51/1.87 k!1706: $i > $i)).
% 2.51/1.87 tff(c6_2_type, type, (
% 2.51/1.87 c6_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c1_1_type, type, (
% 2.51/1.87 c1_1: $i > $o)).
% 2.51/1.87 tff(c6_1_type, type, (
% 2.51/1.87 c6_1: $i > $o)).
% 2.51/1.87 tff(c8_1_type, type, (
% 2.51/1.87 c8_1: $i > $o)).
% 2.51/1.87 tff(c9_2_type, type, (
% 2.51/1.87 c9_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c8_2_type, type, (
% 2.51/1.87 c8_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c7_2_type, type, (
% 2.51/1.87 c7_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c10_2_type, type, (
% 2.51/1.87 c10_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c4_2_type, type, (
% 2.51/1.87 c4_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(ndr1_1_type, type, (
% 2.51/1.87 ndr1_1: $i > $o)).
% 2.51/1.87 tff(c10_1_type, type, (
% 2.51/1.87 c10_1: $i > $o)).
% 2.51/1.87 tff(c5_2_type, type, (
% 2.51/1.87 c5_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c5_1_type, type, (
% 2.51/1.87 c5_1: $i > $o)).
% 2.51/1.87 tff(c2_1_type, type, (
% 2.51/1.87 c2_1: $i > $o)).
% 2.51/1.87 tff(c3_1_type, type, (
% 2.51/1.87 c3_1: $i > $o)).
% 2.51/1.87 tff(c3_2_type, type, (
% 2.51/1.87 c3_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c9_1_type, type, (
% 2.51/1.87 c9_1: $i > $o)).
% 2.51/1.87 tff(c2_2_type, type, (
% 2.51/1.87 c2_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(c7_1_type, type, (
% 2.51/1.87 c7_1: $i > $o)).
% 2.51/1.87 tff(c1_2_type, type, (
% 2.51/1.87 c1_2: ( $i * $i ) > $o)).
% 2.51/1.87 tff(formula1, axiom,
% 2.51/1.87 c10_0 <=> $false).
% 2.51/1.87 tff(formula2, axiom,
% 2.51/1.87 a364 = $i!val!41).
% 2.51/1.88 tff(formula3, axiom,
% 2.51/1.88 a339 = $i!val!31).
% 2.51/1.88 tff(formula4, axiom,
% 2.51/1.88 ndr1_0 <=> $true).
% 2.51/1.88 tff(formula5, axiom,
% 2.51/1.88 a307 = $i!val!15).
% 2.51/1.88 tff(formula6, axiom,
% 2.51/1.88 a351 = $i!val!37).
% 2.51/1.88 tff(formula7, axiom,
% 2.51/1.88 a346 = $i!val!35).
% 2.51/1.88 tff(formula8, axiom,
% 2.51/1.88 a368 = $i!val!43).
% 2.51/1.88 tff(formula9, axiom,
% 2.51/1.88 a326 = $i!val!27).
% 2.51/1.88 tff(formula10, axiom,
% 2.51/1.88 a442 = $i!val!58).
% 2.51/1.88 tff(formula11, axiom,
% 2.51/1.88 a336 = $i!val!61).
% 2.51/1.88 tff(formula12, axiom,
% 2.51/1.88 a425 = $i!val!56).
% 2.51/1.88 tff(formula13, axiom,
% 2.51/1.88 a350 = $i!val!36).
% 2.51/1.88 tff(formula14, axiom,
% 2.51/1.88 a360 = $i!val!40).
% 2.51/1.88 tff(formula15, axiom,
% 2.51/1.88 a294 = $i!val!12).
% 2.51/1.88 tff(formula16, axiom,
% 2.51/1.88 a374 = $i!val!44).
% 2.51/1.88 tff(formula17, axiom,
% 2.51/1.88 a398 = $i!val!50).
% 2.51/1.88 tff(formula18, axiom,
% 2.51/1.88 a300 = $i!val!14).
% 2.51/1.88 tff(formula19, axiom,
% 2.51/1.88 c6_0 <=> $true).
% 2.51/1.88 tff(formula20, axiom,
% 2.51/1.88 a363 = $i!val!62).
% 2.51/1.88 tff(formula21, axiom,
% 2.51/1.88 a367 = $i!val!42).
% 2.51/1.88 tff(formula22, axiom,
% 2.51/1.88 a376 = $i!val!47).
% 2.51/1.88 tff(formula23, axiom,
% 2.51/1.88 a322 = $i!val!23).
% 2.51/1.88 tff(formula24, axiom,
% 2.51/1.88 a352 = $i!val!38).
% 2.51/1.88 tff(formula25, axiom,
% 2.51/1.88 a353 = $i!val!39).
% 2.51/1.88 tff(formula26, axiom,
% 2.51/1.88 a424 = $i!val!55).
% 2.51/1.88 tff(formula27, axiom,
% 2.51/1.88 c9_0 <=> $false).
% 2.51/1.88 tff(formula28, axiom,
% 2.51/1.88 a415 = $i!val!54).
% 2.51/1.88 tff(formula29, axiom,
% 2.51/1.88 a406 = $i!val!52).
% 2.51/1.88 tff(formula30, axiom,
% 2.51/1.88 a331 = $i!val!30).
% 2.51/1.88 tff(formula31, axiom,
% 2.51/1.88 a296 = $i!val!13).
% 2.51/1.88 tff(formula32, axiom,
% 2.51/1.88 a431 = $i!val!57).
% 2.51/1.88 tff(formula33, axiom,
% 2.51/1.88 a289 = $i!val!10).
% 2.51/1.88 tff(formula34, axiom,
% 2.51/1.88 a273 = $i!val!3).
% 2.51/1.88 tff(formula35, axiom,
% 2.51/1.88 a323 = $i!val!25).
% 2.51/1.88 tff(formula36, axiom,
% 2.51/1.88 a272 = $i!val!2).
% 2.51/1.88 tff(formula37, axiom,
% 2.51/1.88 c4_0 <=> $false).
% 2.51/1.88 tff(formula38, axiom,
% 2.51/1.88 c3_0 <=> $true).
% 2.51/1.88 tff(formula39, axiom,
% 2.51/1.88 a325 = $i!val!26).
% 2.51/1.88 tff(formula40, axiom,
% 2.51/1.88 a338 = $i!val!59).
% 2.51/1.88 tff(formula41, axiom,
% 2.51/1.88 c8_0 <=> $true).
% 2.51/1.88 tff(formula42, axiom,
% 2.51/1.88 a311 = $i!val!17).
% 2.51/1.88 tff(formula43, axiom,
% 2.51/1.88 a394 = $i!val!49).
% 2.51/1.88 tff(formula44, axiom,
% 2.51/1.88 a405 = $i!val!51).
% 2.51/1.88 tff(formula45, axiom,
% 2.51/1.88 a269 = $i!val!0).
% 2.51/1.88 tff(formula46, axiom,
% 2.51/1.88 a270 = $i!val!1).
% 2.51/1.88 tff(formula47, axiom,
% 2.51/1.88 a284 = $i!val!7).
% 2.51/1.88 tff(formula48, axiom,
% 2.51/1.88 a315 = $i!val!20).
% 2.51/1.88 tff(formula49, axiom,
% 2.51/1.88 a321 = $i!val!24).
% 2.51/1.88 tff(formula50, axiom,
% 2.51/1.88 a310 = $i!val!16).
% 2.51/1.88 tff(formula51, axiom,
% 2.51/1.88 a320 = $i!val!22).
% 2.51/1.88 tff(formula52, axiom,
% 2.51/1.88 a384 = $i!val!48).
% 2.51/1.88 tff(formula53, axiom,
% 2.51/1.88 a340 = $i!val!32).
% 2.51/1.88 tff(formula54, axiom,
% 2.51/1.88 a319 = $i!val!21).
% 2.51/1.88 tff(formula55, axiom,
% 2.51/1.88 a313 = $i!val!18).
% 2.51/1.88 tff(formula56, axiom,
% 2.51/1.88 a277 = $i!val!4).
% 2.51/1.88 tff(formula57, axiom,
% 2.51/1.88 c7_0 <=> $false).
% 2.51/1.88 tff(formula58, axiom,
% 2.51/1.88 a330 = $i!val!29).
% 2.51/1.88 tff(formula59, axiom,
% 2.51/1.88 a341 = $i!val!33).
% 2.51/1.88 tff(formula60, axiom,
% 2.51/1.88 c1_0 <=> $false).
% 2.51/1.88 tff(formula61, axiom,
% 2.51/1.88 a283 = $i!val!6).
% 2.51/1.88 tff(formula62, axiom,
% 2.51/1.88 c2_0 <=> $false).
% 2.51/1.88 tff(formula63, axiom,
% 2.51/1.88 a377 = $i!val!46).
% 2.51/1.88 tff(formula64, axiom,
% 2.51/1.88 a290 = $i!val!11).
% 2.51/1.88 tff(formula65, axiom,
% 2.51/1.88 a414 = $i!val!53).
% 2.51/1.88 tff(formula66, axiom,
% 2.51/1.88 a345 = $i!val!34).
% 2.51/1.88 tff(formula67, axiom,
% 2.51/1.88 a329 = $i!val!28).
% 2.51/1.88 tff(formula68, axiom,
% 2.51/1.88 a287 = $i!val!8).
% 2.51/1.88 tff(formula69, axiom,
% 2.51/1.88 a314 = $i!val!19).
% 2.51/1.88 tff(formula70, axiom,
% 2.51/1.88 a288 = $i!val!9).
% 2.51/1.88 tff(formula71, axiom,
% 2.51/1.88 c5_0 <=> $false).
% 2.51/1.88 tff(formula72, axiom,
% 2.51/1.88 a375 = $i!val!45).
% 2.51/1.88 tff(formula73, axiom,
% 2.51/1.88 a428 = $i!val!60).
% 2.51/1.88 tff(formula74, axiom,
% 2.51/1.88 a282 = $i!val!5).
% 2.51/1.88 tff(formula75, axiom,
% 2.51/1.88 ![X0: $i] : (c4_1(X0) <=> ((k!1707(X0) = $i!val!36) | (k!1707(X0) = $i!val!29) | (k!1707(X0) = $i!val!0) | (k!1707(X0) = $i!val!5) | (k!1707(X0) = $i!val!48) | (k!1707(X0) = $i!val!34) | (k!1707(X0) = $i!val!8) | (k!1707(X0) = $i!val!42) | (k!1707(X0) = $i!val!26) | (k!1707(X0) = $i!val!20) | (k!1707(X0) = $i!val!6) | (k!1707(X0) = $i!val!18)))).
% 2.51/1.88 tff(formula76, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!1707(X1) = $i!val!29) & (k!1706(X0) = $i!val!30)) | ((k!1707(X1) = $i!val!53) & (k!1706(X0) = $i!val!54)) | ((k!1707(X1) = $i!val!38) & (k!1706(X0) = $i!val!39)) | ((k!1707(X1) = $i!val!42) & (k!1706(X0) = $i!val!43))))).
% 2.51/1.88 tff(formula77, axiom,
% 2.51/1.88 ![X0: $i] : (c1_1(X0) <=> ((k!1707(X0) = $i!val!45) | (k!1707(X0) = $i!val!36) | (k!1707(X0) = $i!val!28) | (k!1707(X0) = $i!val!25) | (k!1707(X0) = $i!val!49) | (k!1707(X0) = $i!val!34) | (k!1707(X0) = $i!val!22)))).
% 2.51/1.88 tff(formula78, axiom,
% 2.51/1.88 ![X0: $i] : (c6_1(X0) <=> ((k!1707(X0) = $i!val!44) | (k!1707(X0) = $i!val!22) | (k!1707(X0) = $i!val!13) | (k!1707(X0) = $i!val!20) | (k!1707(X0) = $i!val!4) | (k!1707(X0) = $i!val!6) | (k!1707(X0) = $i!val!18) | (k!1707(X0) = $i!val!57)))).
% 2.51/1.88 tff(formula79, axiom,
% 2.51/1.88 ![X0: $i] : (c8_1(X0) <=> ((k!1707(X0) = $i!val!44) | (k!1707(X0) = $i!val!50) | (k!1707(X0) = $i!val!58) | (k!1707(X0) = $i!val!51) | (k!1707(X0) = $i!val!45) | (k!1707(X0) = $i!val!41) | (k!1707(X0) = $i!val!15)))).
% 2.51/1.88 tff(formula80, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!1707(X1) = $i!val!0) & (k!1706(X0) = $i!val!1)) | ((k!1707(X1) = $i!val!31) & (k!1706(X0) = $i!val!32)) | ((k!1707(X1) = $i!val!34) & (k!1706(X0) = $i!val!35))))).
% 2.51/1.88 tff(formula81, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!1707(X1) = $i!val!45) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!38) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!36) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!49) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!22) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!13) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!6) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!8) & (k!1706(X0) = $i!val!10)) | ((k!1707(X1) = $i!val!44) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!34) & (k!1706(X0) = $i!val!35))))).
% 2.51/1.88 tff(formula82, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!1707(X1) = $i!val!36) & (k!1706(X0) = $i!val!37)) | ((k!1707(X1) = $i!val!45) & (k!1706(X0) = $i!val!47)) | ((k!1707(X1) = $i!val!42) & (k!1706(X0) = $i!val!43)) | ((k!1707(X1) = $i!val!55) & (k!1706(X0) = $i!val!56)) | ((k!1707(X1) = $i!val!26) & (k!1706(X0) = $i!val!27))))).
% 2.51/1.88 tff(formula83, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!1707(X1) = $i!val!42) & (k!1706(X0) = $i!val!43)) | ((k!1707(X1) = $i!val!45) & (k!1706(X0) = $i!val!47))))).
% 2.51/1.88 tff(formula84, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1707(X1) = $i!val!38) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!8) & (k!1706(X0) = $i!val!9)) | ((k!1707(X1) = $i!val!31) & (k!1706(X0) = $i!val!33)) | ((k!1707(X1) = $i!val!36) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!16) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!53) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!16) & (k!1706(X0) = $i!val!17))))).
% 2.51/1.88 tff(formula85, axiom,
% 2.51/1.88 ![X0: $i] : (ndr1_1(X0) <=> ((k!1707(X0) = $i!val!44) | (k!1707(X0) = $i!val!38) | (k!1707(X0) = $i!val!45) | (k!1707(X0) = $i!val!36) | (k!1707(X0) = $i!val!55) | (k!1707(X0) = $i!val!31) | (k!1707(X0) = $i!val!29) | (k!1707(X0) = $i!val!2) | (k!1707(X0) = $i!val!0) | (k!1707(X0) = $i!val!5) | (k!1707(X0) = $i!val!49) | (k!1707(X0) = $i!val!40) | (k!1707(X0) = $i!val!16) | (k!1707(X0) = $i!val!34) | (k!1707(X0) = $i!val!53) | (k!1707(X0) = $i!val!8) | (k!1707(X0) = $i!val!42) | (k!1707(X0) = $i!val!22) | (k!1707(X0) = $i!val!26) | (k!1707(X0) = $i!val!13) | (k!1707(X0) = $i!val!6) | (k!1707(X0) = $i!val!18)))).
% 2.51/1.88 tff(formula86, axiom,
% 2.51/1.88 ![X0: $i] : (c10_1(X0) <=> ((k!1707(X0) = $i!val!44) | (k!1707(X0) = $i!val!38) | (k!1707(X0) = $i!val!16) | (k!1707(X0) = $i!val!53) | (k!1707(X0) = $i!val!22) | (k!1707(X0) = $i!val!13) | (k!1707(X0) = $i!val!6) | (k!1707(X0) = $i!val!18)))).
% 2.51/1.88 tff(formula87, axiom,
% 2.51/1.88 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1707(X1) = $i!val!45) & (k!1706(X0) = $i!val!61)) | ((k!1707(X1) = $i!val!38) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!36) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!16) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!34) & (k!1706(X0) = $i!val!35)) | ((k!1707(X1) = $i!val!53) & (k!1706(X0) = $i!val!62)) | ((k!1707(X1) = $i!val!26) & (k!1706(X0) = $i!val!27)) | ((k!1707(X1) = $i!val!8) & (k!1706(X0) = $i!val!11))))).
% 2.51/1.88 tff(formula88, axiom,
% 2.51/1.88 ![X0: $i] : (c5_1(X0) <=> (X0 = $i!val!2))).
% 2.51/1.88 tff(formula89, axiom,
% 2.51/1.88 k!1707($i!val!41) = $i!val!41).
% 2.51/1.88 tff(formula90, axiom,
% 2.51/1.88 k!1707($i!val!31) = $i!val!31).
% 2.51/1.88 tff(formula91, axiom,
% 2.51/1.88 k!1707($i!val!49) = $i!val!49).
% 2.51/1.88 tff(formula92, axiom,
% 2.51/1.88 k!1707($i!val!15) = $i!val!15).
% 2.51/1.88 tff(formula93, axiom,
% 2.51/1.88 k!1707($i!val!51) = $i!val!51).
% 2.51/1.88 tff(formula94, axiom,
% 2.51/1.88 k!1707($i!val!0) = $i!val!0).
% 2.51/1.88 tff(formula95, axiom,
% 2.51/1.88 k!1707($i!val!20) = $i!val!20).
% 2.51/1.88 tff(formula96, axiom,
% 2.51/1.88 k!1707($i!val!58) = $i!val!58).
% 2.51/1.88 tff(formula97, axiom,
% 2.51/1.88 k!1707($i!val!16) = $i!val!16).
% 2.51/1.88 tff(formula98, axiom,
% 2.51/1.88 k!1707($i!val!36) = $i!val!36).
% 2.51/1.88 tff(formula99, axiom,
% 2.51/1.88 k!1707($i!val!40) = $i!val!40).
% 2.51/1.88 tff(formula100, axiom,
% 2.51/1.88 k!1707($i!val!22) = $i!val!22).
% 2.51/1.88 tff(formula101, axiom,
% 2.51/1.88 k!1707($i!val!48) = $i!val!48).
% 2.51/1.88 tff(formula102, axiom,
% 2.51/1.88 k!1707($i!val!12) = $i!val!12).
% 2.51/1.88 tff(formula103, axiom,
% 2.51/1.88 k!1707($i!val!44) = $i!val!44).
% 2.51/1.88 tff(formula104, axiom,
% 2.51/1.88 k!1707($i!val!21) = $i!val!21).
% 2.51/1.88 tff(formula105, axiom,
% 2.51/1.88 k!1707($i!val!18) = $i!val!18).
% 2.51/1.88 tff(formula106, axiom,
% 2.51/1.88 k!1707($i!val!4) = $i!val!4).
% 2.51/1.88 tff(formula107, axiom,
% 2.51/1.88 k!1707($i!val!14) = $i!val!14).
% 2.51/1.88 tff(formula108, axiom,
% 2.51/1.88 k!1707($i!val!29) = $i!val!29).
% 2.51/1.88 tff(formula109, axiom,
% 2.51/1.88 k!1707($i!val!50) = $i!val!50).
% 2.51/1.88 tff(formula110, axiom,
% 2.51/1.88 k!1707($i!val!6) = $i!val!6).
% 2.51/1.88 tff(formula111, axiom,
% 2.51/1.88 k!1707($i!val!42) = $i!val!42).
% 2.51/1.88 tff(formula112, axiom,
% 2.51/1.88 k!1707($i!val!38) = $i!val!38).
% 2.51/1.88 tff(formula113, axiom,
% 2.51/1.88 k!1707($i!val!53) = $i!val!53).
% 2.51/1.88 tff(formula114, axiom,
% 2.51/1.88 k!1707($i!val!55) = $i!val!55).
% 2.51/1.88 tff(formula115, axiom,
% 2.51/1.88 k!1707($i!val!34) = $i!val!34).
% 2.51/1.88 tff(formula116, axiom,
% 2.51/1.88 k!1707($i!val!8) = $i!val!8).
% 2.51/1.88 tff(formula117, axiom,
% 2.51/1.88 k!1707($i!val!28) = $i!val!28).
% 2.51/1.88 tff(formula118, axiom,
% 2.51/1.88 k!1707($i!val!13) = $i!val!13).
% 2.51/1.88 tff(formula119, axiom,
% 2.51/1.88 k!1707($i!val!57) = $i!val!57).
% 2.51/1.88 tff(formula120, axiom,
% 2.51/1.88 k!1707($i!val!45) = $i!val!45).
% 2.51/1.88 tff(formula121, axiom,
% 2.51/1.88 k!1707($i!val!52) = $i!val!52).
% 2.51/1.88 tff(formula122, axiom,
% 2.51/1.88 k!1707($i!val!25) = $i!val!25).
% 2.51/1.88 tff(formula123, axiom,
% 2.51/1.88 k!1707($i!val!5) = $i!val!5).
% 2.51/1.88 tff(formula124, axiom,
% 2.51/1.88 k!1707($i!val!2) = $i!val!2).
% 2.51/1.88 tff(formula125, axiom,
% 2.51/1.88 ![X0: $i] : ((~((($i!val!41 = X0)) | (($i!val!31 = X0)) | (($i!val!49 = X0)) | (($i!val!15 = X0)) | (($i!val!51 = X0)) | (($i!val!0 = X0)) | (($i!val!20 = X0)) | (($i!val!58 = X0)) | (($i!val!16 = X0)) | (($i!val!36 = X0)) | (($i!val!40 = X0)) | (($i!val!22 = X0)) | (($i!val!48 = X0)) | (($i!val!12 = X0)) | (($i!val!44 = X0)) | (($i!val!21 = X0)) | (($i!val!18 = X0)) | (($i!val!4 = X0)) | (($i!val!14 = X0)) | (($i!val!29 = X0)) | (($i!val!50 = X0)) | (($i!val!6 = X0)) | (($i!val!42 = X0)) | (($i!val!38 = X0)) | (($i!val!53 = X0)) | (($i!val!55 = X0)) | (($i!val!34 = X0)) | (($i!val!8 = X0)) | (($i!val!28 = X0)) | (($i!val!13 = X0)) | (($i!val!57 = X0)) | (($i!val!45 = X0)) | (($i!val!52 = X0)) | (($i!val!25 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)))) => (k!1707(X0) = $i!val!26))).
% 2.51/1.88 tff(formula126, axiom,
% 2.51/1.88 ![X0: $i] : (c2_1(X0) <=> ((k!1707(X0) = $i!val!0) | (k!1707(X0) = $i!val!36) | (k!1707(X0) = $i!val!57)))).
% 2.51/1.88 tff(formula127, axiom,
% 2.51/1.88 ![X0: $i] : (c3_1(X0) <=> ((k!1707(X0) = $i!val!38) | (k!1707(X0) = $i!val!55) | (k!1707(X0) = $i!val!31) | (k!1707(X0) = $i!val!29) | (k!1707(X0) = $i!val!0) | (k!1707(X0) = $i!val!28) | (k!1707(X0) = $i!val!49) | (k!1707(X0) = $i!val!53) | (k!1707(X0) = $i!val!42) | (k!1707(X0) = $i!val!13) | (k!1707(X0) = $i!val!18)))).
% 2.51/1.88 tff(formula128, axiom,
% 2.51/1.88 k!1706($i!val!17) = $i!val!17).
% 2.51/1.88 tff(formula129, axiom,
% 2.51/1.88 k!1706($i!val!37) = $i!val!37).
% 2.51/1.88 tff(formula130, axiom,
% 2.51/1.88 k!1706($i!val!7) = $i!val!7).
% 2.51/1.88 tff(formula131, axiom,
% 2.51/1.88 k!1706($i!val!1) = $i!val!1).
% 2.51/1.88 tff(formula132, axiom,
% 2.51/1.88 k!1706($i!val!43) = $i!val!43).
% 2.51/1.88 tff(formula133, axiom,
% 2.51/1.88 k!1706($i!val!24) = $i!val!24).
% 2.51/1.88 tff(formula134, axiom,
% 2.51/1.88 k!1706($i!val!27) = $i!val!27).
% 2.51/1.88 tff(formula135, axiom,
% 2.51/1.88 k!1706($i!val!35) = $i!val!35).
% 2.51/1.88 tff(formula136, axiom,
% 2.51/1.88 k!1706($i!val!61) = $i!val!61).
% 2.51/1.88 tff(formula137, axiom,
% 2.51/1.88 k!1706($i!val!56) = $i!val!56).
% 2.51/1.88 tff(formula138, axiom,
% 2.51/1.88 k!1706($i!val!32) = $i!val!32).
% 2.51/1.88 tff(formula139, axiom,
% 2.51/1.88 k!1706($i!val!62) = $i!val!62).
% 2.51/1.88 tff(formula140, axiom,
% 2.51/1.88 k!1706($i!val!33) = $i!val!33).
% 2.51/1.88 tff(formula141, axiom,
% 2.51/1.88 k!1706($i!val!47) = $i!val!47).
% 2.51/1.88 tff(formula142, axiom,
% 2.51/1.88 k!1706($i!val!46) = $i!val!46).
% 2.51/1.88 tff(formula143, axiom,
% 2.51/1.89 k!1706($i!val!23) = $i!val!23).
% 2.51/1.89 tff(formula144, axiom,
% 2.51/1.89 k!1706($i!val!11) = $i!val!11).
% 2.51/1.89 tff(formula145, axiom,
% 2.51/1.89 k!1706($i!val!39) = $i!val!39).
% 2.51/1.89 tff(formula146, axiom,
% 2.51/1.89 k!1706($i!val!54) = $i!val!54).
% 2.51/1.89 tff(formula147, axiom,
% 2.51/1.89 k!1706($i!val!19) = $i!val!19).
% 2.51/1.89 tff(formula148, axiom,
% 2.51/1.89 k!1706($i!val!30) = $i!val!30).
% 2.51/1.89 tff(formula149, axiom,
% 2.51/1.89 k!1706($i!val!9) = $i!val!9).
% 2.51/1.89 tff(formula150, axiom,
% 2.51/1.89 k!1706($i!val!60) = $i!val!60).
% 2.51/1.89 tff(formula151, axiom,
% 2.51/1.89 k!1706($i!val!10) = $i!val!10).
% 2.51/1.89 tff(formula152, axiom,
% 2.51/1.89 k!1706($i!val!3) = $i!val!3).
% 2.51/1.89 tff(formula153, axiom,
% 2.51/1.89 ![X0: $i] : ((~((($i!val!17 = X0)) | (($i!val!37 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!43 = X0)) | (($i!val!24 = X0)) | (($i!val!27 = X0)) | (($i!val!35 = X0)) | (($i!val!61 = X0)) | (($i!val!56 = X0)) | (($i!val!32 = X0)) | (($i!val!62 = X0)) | (($i!val!33 = X0)) | (($i!val!47 = X0)) | (($i!val!46 = X0)) | (($i!val!23 = X0)) | (($i!val!11 = X0)) | (($i!val!39 = X0)) | (($i!val!54 = X0)) | (($i!val!19 = X0)) | (($i!val!30 = X0)) | (($i!val!9 = X0)) | (($i!val!60 = X0)) | (($i!val!10 = X0)) | (($i!val!3 = X0)))) => (k!1706(X0) = $i!val!59))).
% 2.51/1.89 tff(formula154, axiom,
% 2.51/1.89 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((k!1707(X1) = $i!val!29) & (k!1706(X0) = $i!val!30)))).
% 2.51/1.89 tff(formula155, axiom,
% 2.51/1.89 ![X0: $i] : (c9_1(X0) <=> (k!1707(X0) = $i!val!41))).
% 2.51/1.89 tff(formula156, axiom,
% 2.51/1.89 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1707(X1) = $i!val!36) & (k!1706(X0) = $i!val!37)) | ((k!1707(X1) = $i!val!53) & (k!1706(X0) = $i!val!54)) | ((k!1707(X1) = $i!val!22) & (k!1706(X0) = $i!val!24)) | ((k!1707(X1) = $i!val!34) & (k!1706(X0) = $i!val!35)) | ((k!1707(X1) = $i!val!42) & (k!1706(X0) = $i!val!43))))).
% 2.51/1.89 tff(formula157, axiom,
% 2.51/1.89 ![X0: $i] : (c7_1(X0) <=> (X0 = $i!val!50))).
% 2.51/1.89 tff(formula158, axiom,
% 2.51/1.89 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1707(X1) = $i!val!2) & (k!1706(X0) = $i!val!3)) | ((k!1707(X1) = $i!val!29) & (k!1706(X0) = $i!val!30)) | ((k!1707(X1) = $i!val!45) & (k!1706(X0) = $i!val!47))))).
% 2.51/1.89 % SZS output end Model
%------------------------------------------------------------------------------