TSTP Solution File: SYN545+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN545+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 23:56:21 EDT 2022
% Result : CounterSatisfiable 12.72s 8.39s
% Output : Model 12.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN545+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n009.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 05:29:05 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.
% 12.72/8.39 % SZS status CounterSatisfiable
% 12.72/8.39 % SZS output start Model
% 12.72/8.39 tff(tptp_fun__i_val_100_type, type, (
% 12.72/8.39 tptp_fun__i_val_100: $i)).
% 12.72/8.39 tff(a285_type, type, (
% 12.72/8.39 a285: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_26_type, type, (
% 12.72/8.39 tptp_fun__i_val_26: $i)).
% 12.72/8.39 tff(a182_type, type, (
% 12.72/8.39 a182: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_6_type, type, (
% 12.72/8.39 tptp_fun__i_val_6: $i)).
% 12.72/8.39 tff(a158_type, type, (
% 12.72/8.39 a158: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_90_type, type, (
% 12.72/8.39 tptp_fun__i_val_90: $i)).
% 12.72/8.39 tff(a157_type, type, (
% 12.72/8.39 a157: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_5_type, type, (
% 12.72/8.39 tptp_fun__i_val_5: $i)).
% 12.72/8.39 tff(a156_type, type, (
% 12.72/8.39 a156: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_81_type, type, (
% 12.72/8.39 tptp_fun__i_val_81: $i)).
% 12.72/8.39 tff(a239_type, type, (
% 12.72/8.39 a239: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_86_type, type, (
% 12.72/8.39 tptp_fun__i_val_86: $i)).
% 12.72/8.39 tff(a210_type, type, (
% 12.72/8.39 a210: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_33_type, type, (
% 12.72/8.39 tptp_fun__i_val_33: $i)).
% 12.72/8.39 tff(a192_type, type, (
% 12.72/8.39 a192: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_48_type, type, (
% 12.72/8.39 tptp_fun__i_val_48: $i)).
% 12.72/8.39 tff(a229_type, type, (
% 12.72/8.39 a229: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_52_type, type, (
% 12.72/8.39 tptp_fun__i_val_52: $i)).
% 12.72/8.39 tff(a244_type, type, (
% 12.72/8.39 a244: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_7_type, type, (
% 12.72/8.39 tptp_fun__i_val_7: $i)).
% 12.72/8.39 tff(a160_type, type, (
% 12.72/8.39 a160: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_28_type, type, (
% 12.72/8.39 tptp_fun__i_val_28: $i)).
% 12.72/8.39 tff(a184_type, type, (
% 12.72/8.39 a184: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_75_type, type, (
% 12.72/8.39 tptp_fun__i_val_75: $i)).
% 12.72/8.39 tff(a294_type, type, (
% 12.72/8.39 a294: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_15_type, type, (
% 12.72/8.39 tptp_fun__i_val_15: $i)).
% 12.72/8.39 tff(a168_type, type, (
% 12.72/8.39 a168: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_63_type, type, (
% 12.72/8.39 tptp_fun__i_val_63: $i)).
% 12.72/8.39 tff(a265_type, type, (
% 12.72/8.39 a265: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_1_type, type, (
% 12.72/8.39 tptp_fun__i_val_1: $i)).
% 12.72/8.39 tff(a149_type, type, (
% 12.72/8.39 a149: $i)).
% 12.72/8.39 tff(c6_0_type, type, (
% 12.72/8.39 c6_0: $o)).
% 12.72/8.39 tff(tptp_fun__i_val_40_type, type, (
% 12.72/8.39 tptp_fun__i_val_40: $i)).
% 12.72/8.39 tff(a209_type, type, (
% 12.72/8.39 a209: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_29_type, type, (
% 12.72/8.39 tptp_fun__i_val_29: $i)).
% 12.72/8.39 tff(a186_type, type, (
% 12.72/8.39 a186: $i)).
% 12.72/8.39 tff(a201_type, type, (
% 12.72/8.39 a201: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_14_type, type, (
% 12.72/8.39 tptp_fun__i_val_14: $i)).
% 12.72/8.39 tff(a165_type, type, (
% 12.72/8.39 a165: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_8_type, type, (
% 12.72/8.39 tptp_fun__i_val_8: $i)).
% 12.72/8.39 tff(a161_type, type, (
% 12.72/8.39 a161: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_82_type, type, (
% 12.72/8.39 tptp_fun__i_val_82: $i)).
% 12.72/8.39 tff(a151_type, type, (
% 12.72/8.39 a151: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_62_type, type, (
% 12.72/8.39 tptp_fun__i_val_62: $i)).
% 12.72/8.39 tff(a259_type, type, (
% 12.72/8.39 a259: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_72_type, type, (
% 12.72/8.39 tptp_fun__i_val_72: $i)).
% 12.72/8.39 tff(a280_type, type, (
% 12.72/8.39 a280: $i)).
% 12.72/8.39 tff(a231_type, type, (
% 12.72/8.39 a231: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_12_type, type, (
% 12.72/8.39 tptp_fun__i_val_12: $i)).
% 12.72/8.39 tff(a167_type, type, (
% 12.72/8.39 a167: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_54_type, type, (
% 12.72/8.39 tptp_fun__i_val_54: $i)).
% 12.72/8.39 tff(a246_type, type, (
% 12.72/8.39 a246: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_67_type, type, (
% 12.72/8.39 tptp_fun__i_val_67: $i)).
% 12.72/8.39 tff(a273_type, type, (
% 12.72/8.39 a273: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_0_type, type, (
% 12.72/8.39 tptp_fun__i_val_0: $i)).
% 12.72/8.39 tff(a148_type, type, (
% 12.72/8.39 a148: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_13_type, type, (
% 12.72/8.39 tptp_fun__i_val_13: $i)).
% 12.72/8.39 tff(a164_type, type, (
% 12.72/8.39 a164: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_85_type, type, (
% 12.72/8.39 tptp_fun__i_val_85: $i)).
% 12.72/8.39 tff(a190_type, type, (
% 12.72/8.39 a190: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_79_type, type, (
% 12.72/8.39 tptp_fun__i_val_79: $i)).
% 12.72/8.39 tff(a236_type, type, (
% 12.72/8.39 a236: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_88_type, type, (
% 12.72/8.39 tptp_fun__i_val_88: $i)).
% 12.72/8.39 tff(a258_type, type, (
% 12.72/8.39 a258: $i)).
% 12.72/8.39 tff(a226_type, type, (
% 12.72/8.39 a226: $i)).
% 12.72/8.39 tff(c8_0_type, type, (
% 12.72/8.39 c8_0: $o)).
% 12.72/8.39 tff(tptp_fun__i_val_84_type, type, (
% 12.72/8.39 tptp_fun__i_val_84: $i)).
% 12.72/8.39 tff(a147_type, type, (
% 12.72/8.39 a147: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_59_type, type, (
% 12.72/8.39 tptp_fun__i_val_59: $i)).
% 12.72/8.39 tff(a253_type, type, (
% 12.72/8.39 a253: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_46_type, type, (
% 12.72/8.39 tptp_fun__i_val_46: $i)).
% 12.72/8.39 tff(a222_type, type, (
% 12.72/8.39 a222: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_11_type, type, (
% 12.72/8.39 tptp_fun__i_val_11: $i)).
% 12.72/8.39 tff(a166_type, type, (
% 12.72/8.39 a166: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_16_type, type, (
% 12.72/8.39 tptp_fun__i_val_16: $i)).
% 12.72/8.39 tff(a170_type, type, (
% 12.72/8.39 a170: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_35_type, type, (
% 12.72/8.39 tptp_fun__i_val_35: $i)).
% 12.72/8.39 tff(a194_type, type, (
% 12.72/8.39 a194: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_45_type, type, (
% 12.72/8.39 tptp_fun__i_val_45: $i)).
% 12.72/8.39 tff(a218_type, type, (
% 12.72/8.39 a218: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_55_type, type, (
% 12.72/8.39 tptp_fun__i_val_55: $i)).
% 12.72/8.39 tff(a241_type, type, (
% 12.72/8.39 a241: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_56_type, type, (
% 12.72/8.39 tptp_fun__i_val_56: $i)).
% 12.72/8.39 tff(a242_type, type, (
% 12.72/8.39 a242: $i)).
% 12.72/8.39 tff(c1_0_type, type, (
% 12.72/8.39 c1_0: $o)).
% 12.72/8.39 tff(tptp_fun__i_val_95_type, type, (
% 12.72/8.39 tptp_fun__i_val_95: $i)).
% 12.72/8.39 tff(a264_type, type, (
% 12.72/8.39 a264: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_71_type, type, (
% 12.72/8.39 tptp_fun__i_val_71: $i)).
% 12.72/8.39 tff(a279_type, type, (
% 12.72/8.39 a279: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_22_type, type, (
% 12.72/8.39 tptp_fun__i_val_22: $i)).
% 12.72/8.39 tff(a177_type, type, (
% 12.72/8.39 a177: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_50_type, type, (
% 12.72/8.39 tptp_fun__i_val_50: $i)).
% 12.72/8.39 tff(a234_type, type, (
% 12.72/8.39 a234: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_91_type, type, (
% 12.72/8.39 tptp_fun__i_val_91: $i)).
% 12.72/8.39 tff(a267_type, type, (
% 12.72/8.39 a267: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_70_type, type, (
% 12.72/8.39 tptp_fun__i_val_70: $i)).
% 12.72/8.39 tff(a282_type, type, (
% 12.72/8.39 a282: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_38_type, type, (
% 12.72/8.39 tptp_fun__i_val_38: $i)).
% 12.72/8.39 tff(a204_type, type, (
% 12.72/8.39 a204: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_102_type, type, (
% 12.72/8.39 tptp_fun__i_val_102: $i)).
% 12.72/8.39 tff(a195_type, type, (
% 12.72/8.39 a195: $i)).
% 12.72/8.39 tff(ndr1_0_type, type, (
% 12.72/8.39 ndr1_0: $o)).
% 12.72/8.39 tff(tptp_fun__i_val_32_type, type, (
% 12.72/8.39 tptp_fun__i_val_32: $i)).
% 12.72/8.39 tff(a191_type, type, (
% 12.72/8.39 a191: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_37_type, type, (
% 12.72/8.39 tptp_fun__i_val_37: $i)).
% 12.72/8.39 tff(a203_type, type, (
% 12.72/8.39 a203: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_30_type, type, (
% 12.72/8.39 tptp_fun__i_val_30: $i)).
% 12.72/8.39 tff(a187_type, type, (
% 12.72/8.39 a187: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_93_type, type, (
% 12.72/8.39 tptp_fun__i_val_93: $i)).
% 12.72/8.39 tff(a240_type, type, (
% 12.72/8.39 a240: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_2_type, type, (
% 12.72/8.39 tptp_fun__i_val_2: $i)).
% 12.72/8.39 tff(a150_type, type, (
% 12.72/8.39 a150: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_27_type, type, (
% 12.72/8.39 tptp_fun__i_val_27: $i)).
% 12.72/8.39 tff(a183_type, type, (
% 12.72/8.39 a183: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_17_type, type, (
% 12.72/8.39 tptp_fun__i_val_17: $i)).
% 12.72/8.39 tff(a171_type, type, (
% 12.72/8.39 a171: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_80_type, type, (
% 12.72/8.39 tptp_fun__i_val_80: $i)).
% 12.72/8.39 tff(a247_type, type, (
% 12.72/8.39 a247: $i)).
% 12.72/8.39 tff(tptp_fun__i_val_21_type, type, (
% 12.72/8.40 tptp_fun__i_val_21: $i)).
% 12.72/8.40 tff(a176_type, type, (
% 12.72/8.40 a176: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_23_type, type, (
% 12.72/8.40 tptp_fun__i_val_23: $i)).
% 12.72/8.40 tff(a178_type, type, (
% 12.72/8.40 a178: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_97_type, type, (
% 12.72/8.40 tptp_fun__i_val_97: $i)).
% 12.72/8.40 tff(a291_type, type, (
% 12.72/8.40 a291: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_4_type, type, (
% 12.72/8.40 tptp_fun__i_val_4: $i)).
% 12.72/8.40 tff(a155_type, type, (
% 12.72/8.40 a155: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_76_type, type, (
% 12.72/8.40 tptp_fun__i_val_76: $i)).
% 12.72/8.40 tff(a295_type, type, (
% 12.72/8.40 a295: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_20_type, type, (
% 12.72/8.40 tptp_fun__i_val_20: $i)).
% 12.72/8.40 tff(a173_type, type, (
% 12.72/8.40 a173: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_39_type, type, (
% 12.72/8.40 tptp_fun__i_val_39: $i)).
% 12.72/8.40 tff(a205_type, type, (
% 12.72/8.40 a205: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_64_type, type, (
% 12.72/8.40 tptp_fun__i_val_64: $i)).
% 12.72/8.40 tff(a266_type, type, (
% 12.72/8.40 a266: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_57_type, type, (
% 12.72/8.40 tptp_fun__i_val_57: $i)).
% 12.72/8.40 tff(a243_type, type, (
% 12.72/8.40 a243: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_9_type, type, (
% 12.72/8.40 tptp_fun__i_val_9: $i)).
% 12.72/8.40 tff(a162_type, type, (
% 12.72/8.40 a162: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_25_type, type, (
% 12.72/8.40 tptp_fun__i_val_25: $i)).
% 12.72/8.40 tff(a180_type, type, (
% 12.72/8.40 a180: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_78_type, type, (
% 12.72/8.40 tptp_fun__i_val_78: $i)).
% 12.72/8.40 tff(a297_type, type, (
% 12.72/8.40 a297: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_92_type, type, (
% 12.72/8.40 tptp_fun__i_val_92: $i)).
% 12.72/8.40 tff(a213_type, type, (
% 12.72/8.40 a213: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_51_type, type, (
% 12.72/8.40 tptp_fun__i_val_51: $i)).
% 12.72/8.40 tff(a235_type, type, (
% 12.72/8.40 a235: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_53_type, type, (
% 12.72/8.40 tptp_fun__i_val_53: $i)).
% 12.72/8.40 tff(a245_type, type, (
% 12.72/8.40 a245: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_99_type, type, (
% 12.72/8.40 tptp_fun__i_val_99: $i)).
% 12.72/8.40 tff(a261_type, type, (
% 12.72/8.40 a261: $i)).
% 12.72/8.40 tff(a271_type, type, (
% 12.72/8.40 a271: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_43_type, type, (
% 12.72/8.40 tptp_fun__i_val_43: $i)).
% 12.72/8.40 tff(a216_type, type, (
% 12.72/8.40 a216: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_44_type, type, (
% 12.72/8.40 tptp_fun__i_val_44: $i)).
% 12.72/8.40 tff(a217_type, type, (
% 12.72/8.40 a217: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_49_type, type, (
% 12.72/8.40 tptp_fun__i_val_49: $i)).
% 12.72/8.40 tff(a232_type, type, (
% 12.72/8.40 a232: $i)).
% 12.72/8.40 tff(c4_0_type, type, (
% 12.72/8.40 c4_0: $o)).
% 12.72/8.40 tff(tptp_fun__i_val_47_type, type, (
% 12.72/8.40 tptp_fun__i_val_47: $i)).
% 12.72/8.40 tff(a223_type, type, (
% 12.72/8.40 a223: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_74_type, type, (
% 12.72/8.40 tptp_fun__i_val_74: $i)).
% 12.72/8.40 tff(a289_type, type, (
% 12.72/8.40 a289: $i)).
% 12.72/8.40 tff(c3_0_type, type, (
% 12.72/8.40 c3_0: $o)).
% 12.72/8.40 tff(tptp_fun__i_val_66_type, type, (
% 12.72/8.40 tptp_fun__i_val_66: $i)).
% 12.72/8.40 tff(a272_type, type, (
% 12.72/8.40 a272: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_77_type, type, (
% 12.72/8.40 tptp_fun__i_val_77: $i)).
% 12.72/8.40 tff(a296_type, type, (
% 12.72/8.40 a296: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_61_type, type, (
% 12.72/8.40 tptp_fun__i_val_61: $i)).
% 12.72/8.40 tff(a257_type, type, (
% 12.72/8.40 a257: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_24_type, type, (
% 12.72/8.40 tptp_fun__i_val_24: $i)).
% 12.72/8.40 tff(a179_type, type, (
% 12.72/8.40 a179: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_60_type, type, (
% 12.72/8.40 tptp_fun__i_val_60: $i)).
% 12.72/8.40 tff(a256_type, type, (
% 12.72/8.40 a256: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_3_type, type, (
% 12.72/8.40 tptp_fun__i_val_3: $i)).
% 12.72/8.40 tff(a154_type, type, (
% 12.72/8.40 a154: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_89_type, type, (
% 12.72/8.40 tptp_fun__i_val_89: $i)).
% 12.72/8.40 tff(a175_type, type, (
% 12.72/8.40 a175: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_41_type, type, (
% 12.72/8.40 tptp_fun__i_val_41: $i)).
% 12.72/8.40 tff(a211_type, type, (
% 12.72/8.40 a211: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_18_type, type, (
% 12.72/8.40 tptp_fun__i_val_18: $i)).
% 12.72/8.40 tff(a172_type, type, (
% 12.72/8.40 a172: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_42_type, type, (
% 12.72/8.40 tptp_fun__i_val_42: $i)).
% 12.72/8.40 tff(a212_type, type, (
% 12.72/8.40 a212: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_98_type, type, (
% 12.72/8.40 tptp_fun__i_val_98: $i)).
% 12.72/8.40 tff(a277_type, type, (
% 12.72/8.40 a277: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_101_type, type, (
% 12.72/8.40 tptp_fun__i_val_101: $i)).
% 12.72/8.40 tff(a185_type, type, (
% 12.72/8.40 a185: $i)).
% 12.72/8.40 tff(c7_0_type, type, (
% 12.72/8.40 c7_0: $o)).
% 12.72/8.40 tff(tptp_fun__i_val_69_type, type, (
% 12.72/8.40 tptp_fun__i_val_69: $i)).
% 12.72/8.40 tff(a283_type, type, (
% 12.72/8.40 a283: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_65_type, type, (
% 12.72/8.40 tptp_fun__i_val_65: $i)).
% 12.72/8.40 tff(a268_type, type, (
% 12.72/8.40 a268: $i)).
% 12.72/8.40 tff(c2_0_type, type, (
% 12.72/8.40 c2_0: $o)).
% 12.72/8.40 tff(tptp_fun__i_val_94_type, type, (
% 12.72/8.40 tptp_fun__i_val_94: $i)).
% 12.72/8.40 tff(a263_type, type, (
% 12.72/8.40 a263: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_19_type, type, (
% 12.72/8.40 tptp_fun__i_val_19: $i)).
% 12.72/8.40 tff(a174_type, type, (
% 12.72/8.40 a174: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_36_type, type, (
% 12.72/8.40 tptp_fun__i_val_36: $i)).
% 12.72/8.40 tff(a196_type, type, (
% 12.72/8.40 a196: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_10_type, type, (
% 12.72/8.40 tptp_fun__i_val_10: $i)).
% 12.72/8.40 tff(a163_type, type, (
% 12.72/8.40 a163: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_83_type, type, (
% 12.72/8.40 tptp_fun__i_val_83: $i)).
% 12.72/8.40 tff(a290_type, type, (
% 12.72/8.40 a290: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_34_type, type, (
% 12.72/8.40 tptp_fun__i_val_34: $i)).
% 12.72/8.40 tff(a193_type, type, (
% 12.72/8.40 a193: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_31_type, type, (
% 12.72/8.40 tptp_fun__i_val_31: $i)).
% 12.72/8.40 tff(a188_type, type, (
% 12.72/8.40 a188: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_87_type, type, (
% 12.72/8.40 tptp_fun__i_val_87: $i)).
% 12.72/8.40 tff(a262_type, type, (
% 12.72/8.40 a262: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_68_type, type, (
% 12.72/8.40 tptp_fun__i_val_68: $i)).
% 12.72/8.40 tff(a281_type, type, (
% 12.72/8.40 a281: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_96_type, type, (
% 12.72/8.40 tptp_fun__i_val_96: $i)).
% 12.72/8.40 tff(a152_type, type, (
% 12.72/8.40 a152: $i)).
% 12.72/8.40 tff(tptp_fun__i_val_73_type, type, (
% 12.72/8.40 tptp_fun__i_val_73: $i)).
% 12.72/8.40 tff(a288_type, type, (
% 12.72/8.40 a288: $i)).
% 12.72/8.40 tff(c5_0_type, type, (
% 12.72/8.40 c5_0: $o)).
% 12.72/8.40 tff(tptp_fun__i_val_58_type, type, (
% 12.72/8.40 tptp_fun__i_val_58: $i)).
% 12.72/8.40 tff(a252_type, type, (
% 12.72/8.40 a252: $i)).
% 12.72/8.40 tff(k!11156_type, type, (
% 12.72/8.40 k!11156: $i > $i)).
% 12.72/8.40 tff(c4_1_type, type, (
% 12.72/8.40 c4_1: $i > $o)).
% 12.72/8.40 tff(k!11155_type, type, (
% 12.72/8.40 k!11155: $i > $i)).
% 12.72/8.40 tff(c6_2_type, type, (
% 12.72/8.40 c6_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c1_1_type, type, (
% 12.72/8.40 c1_1: $i > $o)).
% 12.72/8.40 tff(c6_1_type, type, (
% 12.72/8.40 c6_1: $i > $o)).
% 12.72/8.40 tff(c8_1_type, type, (
% 12.72/8.40 c8_1: $i > $o)).
% 12.72/8.40 tff(c8_2_type, type, (
% 12.72/8.40 c8_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c7_2_type, type, (
% 12.72/8.40 c7_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c4_2_type, type, (
% 12.72/8.40 c4_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(ndr1_1_type, type, (
% 12.72/8.40 ndr1_1: $i > $o)).
% 12.72/8.40 tff(c5_2_type, type, (
% 12.72/8.40 c5_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c5_1_type, type, (
% 12.72/8.40 c5_1: $i > $o)).
% 12.72/8.40 tff(c3_1_type, type, (
% 12.72/8.40 c3_1: $i > $o)).
% 12.72/8.40 tff(c2_1_type, type, (
% 12.72/8.40 c2_1: $i > $o)).
% 12.72/8.40 tff(c3_2_type, type, (
% 12.72/8.40 c3_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c7_1_type, type, (
% 12.72/8.40 c7_1: $i > $o)).
% 12.72/8.40 tff(c2_2_type, type, (
% 12.72/8.40 c2_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(c1_2_type, type, (
% 12.72/8.40 c1_2: ( $i * $i ) > $o)).
% 12.72/8.40 tff(formula1, axiom,
% 12.72/8.40 a285 = $i!val!100).
% 12.72/8.40 tff(formula2, axiom,
% 12.72/8.40 a182 = $i!val!26).
% 12.72/8.40 tff(formula3, axiom,
% 12.72/8.40 a158 = $i!val!6).
% 12.72/8.40 tff(formula4, axiom,
% 12.72/8.40 a157 = $i!val!90).
% 12.72/8.40 tff(formula5, axiom,
% 12.72/8.40 a156 = $i!val!5).
% 12.72/8.40 tff(formula6, axiom,
% 12.72/8.40 a239 = $i!val!81).
% 12.72/8.40 tff(formula7, axiom,
% 12.72/8.40 a210 = $i!val!86).
% 12.72/8.40 tff(formula8, axiom,
% 12.72/8.40 a192 = $i!val!33).
% 12.72/8.40 tff(formula9, axiom,
% 12.72/8.40 a229 = $i!val!48).
% 12.72/8.40 tff(formula10, axiom,
% 12.72/8.40 a244 = $i!val!52).
% 12.72/8.40 tff(formula11, axiom,
% 12.72/8.40 a160 = $i!val!7).
% 12.72/8.40 tff(formula12, axiom,
% 12.72/8.40 a184 = $i!val!28).
% 12.72/8.40 tff(formula13, axiom,
% 12.72/8.40 a294 = $i!val!75).
% 12.72/8.40 tff(formula14, axiom,
% 12.72/8.40 a168 = $i!val!15).
% 12.72/8.40 tff(formula15, axiom,
% 12.72/8.40 a265 = $i!val!63).
% 12.72/8.40 tff(formula16, axiom,
% 12.72/8.40 a149 = $i!val!1).
% 12.72/8.40 tff(formula17, axiom,
% 12.72/8.40 c6_0 <=> $true).
% 12.72/8.40 tff(formula18, axiom,
% 12.72/8.40 a209 = $i!val!40).
% 12.72/8.40 tff(formula19, axiom,
% 12.72/8.40 a186 = $i!val!29).
% 12.72/8.40 tff(formula20, axiom,
% 12.72/8.40 a201 = $i!val!90).
% 12.72/8.40 tff(formula21, axiom,
% 12.72/8.40 a165 = $i!val!14).
% 12.72/8.40 tff(formula22, axiom,
% 12.72/8.40 a161 = $i!val!8).
% 12.72/8.40 tff(formula23, axiom,
% 12.72/8.40 a151 = $i!val!82).
% 12.72/8.40 tff(formula24, axiom,
% 12.72/8.40 a259 = $i!val!62).
% 12.72/8.40 tff(formula25, axiom,
% 12.72/8.40 a280 = $i!val!72).
% 12.72/8.40 tff(formula26, axiom,
% 12.72/8.40 a231 = $i!val!90).
% 12.72/8.40 tff(formula27, axiom,
% 12.72/8.40 a167 = $i!val!12).
% 12.72/8.40 tff(formula28, axiom,
% 12.72/8.40 a246 = $i!val!54).
% 12.72/8.40 tff(formula29, axiom,
% 12.72/8.40 a273 = $i!val!67).
% 12.72/8.40 tff(formula30, axiom,
% 12.72/8.40 a148 = $i!val!0).
% 12.72/8.40 tff(formula31, axiom,
% 12.72/8.40 a164 = $i!val!13).
% 12.72/8.40 tff(formula32, axiom,
% 12.72/8.40 a190 = $i!val!85).
% 12.72/8.40 tff(formula33, axiom,
% 12.72/8.40 a236 = $i!val!79).
% 12.72/8.40 tff(formula34, axiom,
% 12.72/8.40 a258 = $i!val!88).
% 12.72/8.40 tff(formula35, axiom,
% 12.72/8.40 a226 = $i!val!90).
% 12.72/8.40 tff(formula36, axiom,
% 12.72/8.40 c8_0 <=> $true).
% 12.72/8.40 tff(formula37, axiom,
% 12.72/8.40 a147 = $i!val!84).
% 12.72/8.40 tff(formula38, axiom,
% 12.72/8.40 a253 = $i!val!59).
% 12.72/8.40 tff(formula39, axiom,
% 12.72/8.40 a222 = $i!val!46).
% 12.72/8.40 tff(formula40, axiom,
% 12.72/8.40 a166 = $i!val!11).
% 12.72/8.40 tff(formula41, axiom,
% 12.72/8.40 a170 = $i!val!16).
% 12.72/8.40 tff(formula42, axiom,
% 12.72/8.40 a194 = $i!val!35).
% 12.72/8.40 tff(formula43, axiom,
% 12.72/8.40 a218 = $i!val!45).
% 12.72/8.40 tff(formula44, axiom,
% 12.72/8.40 a241 = $i!val!55).
% 12.72/8.40 tff(formula45, axiom,
% 12.72/8.40 a242 = $i!val!56).
% 12.72/8.40 tff(formula46, axiom,
% 12.72/8.40 c1_0 <=> $false).
% 12.72/8.40 tff(formula47, axiom,
% 12.72/8.40 a264 = $i!val!95).
% 12.72/8.40 tff(formula48, axiom,
% 12.72/8.40 a279 = $i!val!71).
% 12.72/8.40 tff(formula49, axiom,
% 12.72/8.40 a177 = $i!val!22).
% 12.72/8.40 tff(formula50, axiom,
% 12.72/8.40 a234 = $i!val!50).
% 12.72/8.40 tff(formula51, axiom,
% 12.72/8.40 a267 = $i!val!91).
% 12.72/8.40 tff(formula52, axiom,
% 12.72/8.40 a282 = $i!val!70).
% 12.72/8.40 tff(formula53, axiom,
% 12.72/8.40 a204 = $i!val!38).
% 12.72/8.40 tff(formula54, axiom,
% 12.72/8.40 a195 = $i!val!102).
% 12.72/8.40 tff(formula55, axiom,
% 12.72/8.40 ndr1_0 <=> $true).
% 12.72/8.40 tff(formula56, axiom,
% 12.72/8.40 a191 = $i!val!32).
% 12.72/8.40 tff(formula57, axiom,
% 12.72/8.40 a203 = $i!val!37).
% 12.72/8.40 tff(formula58, axiom,
% 12.72/8.40 a187 = $i!val!30).
% 12.72/8.40 tff(formula59, axiom,
% 12.72/8.40 a240 = $i!val!93).
% 12.72/8.40 tff(formula60, axiom,
% 12.72/8.40 a150 = $i!val!2).
% 12.72/8.40 tff(formula61, axiom,
% 12.72/8.40 a183 = $i!val!27).
% 12.72/8.40 tff(formula62, axiom,
% 12.72/8.40 a171 = $i!val!17).
% 12.72/8.40 tff(formula63, axiom,
% 12.72/8.40 a247 = $i!val!80).
% 12.72/8.40 tff(formula64, axiom,
% 12.72/8.40 a176 = $i!val!21).
% 12.72/8.40 tff(formula65, axiom,
% 12.72/8.40 a178 = $i!val!23).
% 12.72/8.40 tff(formula66, axiom,
% 12.72/8.40 a291 = $i!val!97).
% 12.72/8.40 tff(formula67, axiom,
% 12.72/8.40 a155 = $i!val!4).
% 12.72/8.40 tff(formula68, axiom,
% 12.72/8.40 a295 = $i!val!76).
% 12.72/8.40 tff(formula69, axiom,
% 12.72/8.40 a173 = $i!val!20).
% 12.72/8.40 tff(formula70, axiom,
% 12.72/8.40 a205 = $i!val!39).
% 12.72/8.40 tff(formula71, axiom,
% 12.72/8.40 a266 = $i!val!64).
% 12.72/8.40 tff(formula72, axiom,
% 12.72/8.40 a243 = $i!val!57).
% 12.72/8.40 tff(formula73, axiom,
% 12.72/8.40 a162 = $i!val!9).
% 12.72/8.40 tff(formula74, axiom,
% 12.72/8.40 a180 = $i!val!25).
% 12.72/8.40 tff(formula75, axiom,
% 12.72/8.40 a297 = $i!val!78).
% 12.72/8.40 tff(formula76, axiom,
% 12.72/8.40 a213 = $i!val!92).
% 12.72/8.40 tff(formula77, axiom,
% 12.72/8.40 a235 = $i!val!51).
% 12.72/8.40 tff(formula78, axiom,
% 12.72/8.40 a245 = $i!val!53).
% 12.72/8.40 tff(formula79, axiom,
% 12.72/8.40 a261 = $i!val!99).
% 12.72/8.40 tff(formula80, axiom,
% 12.72/8.40 a271 = $i!val!90).
% 12.72/8.40 tff(formula81, axiom,
% 12.72/8.40 a216 = $i!val!43).
% 12.72/8.40 tff(formula82, axiom,
% 12.72/8.40 a217 = $i!val!44).
% 12.72/8.40 tff(formula83, axiom,
% 12.72/8.40 a232 = $i!val!49).
% 12.72/8.40 tff(formula84, axiom,
% 12.72/8.40 c4_0 <=> $true).
% 12.72/8.40 tff(formula85, axiom,
% 12.72/8.40 a223 = $i!val!47).
% 12.72/8.40 tff(formula86, axiom,
% 12.72/8.40 a289 = $i!val!74).
% 12.72/8.40 tff(formula87, axiom,
% 12.72/8.40 c3_0 <=> $false).
% 12.72/8.40 tff(formula88, axiom,
% 12.72/8.40 a272 = $i!val!66).
% 12.72/8.40 tff(formula89, axiom,
% 12.72/8.40 a296 = $i!val!77).
% 12.72/8.40 tff(formula90, axiom,
% 12.72/8.40 a257 = $i!val!61).
% 12.72/8.40 tff(formula91, axiom,
% 12.72/8.40 a179 = $i!val!24).
% 12.72/8.40 tff(formula92, axiom,
% 12.72/8.40 a256 = $i!val!60).
% 12.72/8.40 tff(formula93, axiom,
% 12.72/8.40 a154 = $i!val!3).
% 12.72/8.40 tff(formula94, axiom,
% 12.72/8.40 a175 = $i!val!89).
% 12.72/8.40 tff(formula95, axiom,
% 12.72/8.40 a211 = $i!val!41).
% 12.72/8.40 tff(formula96, axiom,
% 12.72/8.40 a172 = $i!val!18).
% 12.72/8.40 tff(formula97, axiom,
% 12.72/8.40 a212 = $i!val!42).
% 12.72/8.40 tff(formula98, axiom,
% 12.72/8.40 a277 = $i!val!98).
% 12.72/8.40 tff(formula99, axiom,
% 12.72/8.40 a185 = $i!val!101).
% 12.72/8.40 tff(formula100, axiom,
% 12.72/8.40 c7_0 <=> $false).
% 12.72/8.40 tff(formula101, axiom,
% 12.72/8.40 a283 = $i!val!69).
% 12.72/8.40 tff(formula102, axiom,
% 12.72/8.40 a268 = $i!val!65).
% 12.72/8.40 tff(formula103, axiom,
% 12.72/8.40 c2_0 <=> $false).
% 12.72/8.40 tff(formula104, axiom,
% 12.72/8.40 a263 = $i!val!94).
% 12.72/8.40 tff(formula105, axiom,
% 12.72/8.40 a174 = $i!val!19).
% 12.72/8.40 tff(formula106, axiom,
% 12.72/8.40 a196 = $i!val!36).
% 12.72/8.40 tff(formula107, axiom,
% 12.72/8.40 a163 = $i!val!10).
% 12.72/8.40 tff(formula108, axiom,
% 12.72/8.40 a290 = $i!val!83).
% 12.72/8.40 tff(formula109, axiom,
% 12.72/8.40 a193 = $i!val!34).
% 12.72/8.40 tff(formula110, axiom,
% 12.72/8.40 a188 = $i!val!31).
% 12.72/8.40 tff(formula111, axiom,
% 12.72/8.40 a262 = $i!val!87).
% 12.72/8.40 tff(formula112, axiom,
% 12.72/8.40 a281 = $i!val!68).
% 12.72/8.40 tff(formula113, axiom,
% 12.72/8.40 a152 = $i!val!96).
% 12.72/8.40 tff(formula114, axiom,
% 12.72/8.40 a288 = $i!val!73).
% 12.72/8.40 tff(formula115, axiom,
% 12.72/8.40 c5_0 <=> $true).
% 12.72/8.40 tff(formula116, axiom,
% 12.72/8.40 a252 = $i!val!58).
% 12.72/8.40 tff(formula117, axiom,
% 12.72/8.40 ![X0: $i] : (c4_1(X0) <=> ((k!11156(X0) = $i!val!38) | (k!11156(X0) = $i!val!75)))).
% 12.72/8.40 tff(formula118, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> ((k!11156(X1) = $i!val!24) & (k!11155(X0) = $i!val!25)))).
% 12.72/8.40 tff(formula119, axiom,
% 12.72/8.40 ![X0: $i] : (c1_1(X0) <=> (k!11156(X0) = $i!val!58))).
% 12.72/8.40 tff(formula120, axiom,
% 12.72/8.40 ![X0: $i] : (c6_1(X0) <=> (X0 = $i!val!62))).
% 12.72/8.40 tff(formula121, axiom,
% 12.72/8.40 ![X0: $i] : (c8_1(X0) <=> ((k!11156(X0) = $i!val!11) | (k!11156(X0) = $i!val!47) | (k!11156(X0) = $i!val!44) | (k!11156(X0) = $i!val!15) | (k!11156(X0) = $i!val!91) | (k!11156(X0) = $i!val!4) | (k!11156(X0) = $i!val!21) | (k!11156(X0) = $i!val!75) | (k!11156(X0) = $i!val!102) | (k!11156(X0) = $i!val!38)))).
% 12.72/8.40 tff(formula122, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!53)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!97)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!57)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!42)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!35)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!86)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!86)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!39)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!90)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!90)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!14)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!5)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!85)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!2)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!82)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!69)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!95)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!33)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!80)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!88)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!93)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!70)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!61)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!89)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!43)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!12))))).
% 12.72/8.40 tff(formula123, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!92)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!39)) | ((k!11156(X1) = $i!val!0) & (k!11155(X0) = $i!val!1)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!90)) | ((k!11156(X1) = $i!val!4) & (k!11155(X0) = $i!val!5)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!76)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!90))))).
% 12.72/8.40 tff(formula124, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!11156(X1) = $i!val!0) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!86)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!86)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!24) & (k!11155(X0) = $i!val!25)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!89)) | ((k!11156(X1) = $i!val!55) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!55) & (k!11155(X0) = $i!val!57))))).
% 12.72/8.40 tff(formula125, axiom,
% 12.72/8.40 ![X0: $i] : (ndr1_1(X0) <=> ((k!11156(X0) = $i!val!24) | (k!11156(X0) = $i!val!0) | (k!11156(X0) = $i!val!55) | (k!11156(X0) = $i!val!4) | (k!11156(X0) = $i!val!75) | (k!11156(X0) = $i!val!38)))).
% 12.72/8.40 tff(formula126, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!89)) | ((k!11156(X1) = $i!val!55) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!89)) | ((k!11156(X1) = $i!val!55) & (k!11155(X0) = $i!val!57))))).
% 12.72/8.40 tff(formula127, axiom,
% 12.72/8.40 ![X0: $i] : (c5_1(X0) <=> ((k!11156(X0) = $i!val!24) | (k!11156(X0) = $i!val!0) | (k!11156(X0) = $i!val!48) | (k!11156(X0) = $i!val!20) | (k!11156(X0) = $i!val!47) | (k!11156(X0) = $i!val!13) | (k!11156(X0) = $i!val!73) | (k!11156(X0) = $i!val!98) | (k!11156(X0) = $i!val!60) | (k!11156(X0) = $i!val!77) | (k!11156(X0) = $i!val!37) | (k!11156(X0) = $i!val!52) | (k!11156(X0) = $i!val!34) | (k!11156(X0) = $i!val!17) | (k!11156(X0) = $i!val!29) | (k!11156(X0) = $i!val!58) | (k!11156(X0) = $i!val!9) | (k!11156(X0) = $i!val!46) | (k!11156(X0) = $i!val!63) | (k!11156(X0) = $i!val!55) | (k!11156(X0) = $i!val!59) | (k!11156(X0) = $i!val!71) | (k!11156(X0) = $i!val!91) | (k!11156(X0) = $i!val!4) | (k!11156(X0) = $i!val!75) | (k!11156(X0) = $i!val!102)))).
% 12.72/8.40 tff(formula128, axiom,
% 12.72/8.40 ![X0: $i] : (c3_1(X0) <=> ((k!11156(X0) = $i!val!24) | (k!11156(X0) = $i!val!0) | (k!11156(X0) = $i!val!48) | (k!11156(X0) = $i!val!20) | (k!11156(X0) = $i!val!13) | (k!11156(X0) = $i!val!73) | (k!11156(X0) = $i!val!98) | (k!11156(X0) = $i!val!37) | (k!11156(X0) = $i!val!52) | (k!11156(X0) = $i!val!34) | (k!11156(X0) = $i!val!29) | (k!11156(X0) = $i!val!58) | (k!11156(X0) = $i!val!46) | (k!11156(X0) = $i!val!63) | (k!11156(X0) = $i!val!55) | (k!11156(X0) = $i!val!59) | (k!11156(X0) = $i!val!71) | (k!11156(X0) = $i!val!91) | (k!11156(X0) = $i!val!4) | (k!11156(X0) = $i!val!102)))).
% 12.72/8.40 tff(formula129, axiom,
% 12.72/8.40 ![X0: $i] : (c2_1(X0) <=> ((k!11156(X0) = $i!val!20) | (k!11156(X0) = $i!val!45) | (k!11156(X0) = $i!val!60) | (k!11156(X0) = $i!val!91) | (k!11156(X0) = $i!val!75)))).
% 12.72/8.40 tff(formula130, axiom,
% 12.72/8.40 k!11156($i!val!58) = $i!val!58).
% 12.72/8.40 tff(formula131, axiom,
% 12.72/8.40 k!11156($i!val!13) = $i!val!13).
% 12.72/8.40 tff(formula132, axiom,
% 12.72/8.40 k!11156($i!val!32) = $i!val!32).
% 12.72/8.40 tff(formula133, axiom,
% 12.72/8.40 k!11156($i!val!37) = $i!val!37).
% 12.72/8.40 tff(formula134, axiom,
% 12.72/8.40 k!11156($i!val!6) = $i!val!6).
% 12.72/8.40 tff(formula135, axiom,
% 12.72/8.40 k!11156($i!val!26) = $i!val!26).
% 12.72/8.40 tff(formula136, axiom,
% 12.72/8.40 k!11156($i!val!30) = $i!val!30).
% 12.72/8.40 tff(formula137, axiom,
% 12.72/8.40 k!11156($i!val!59) = $i!val!59).
% 12.72/8.40 tff(formula138, axiom,
% 12.72/8.40 k!11156($i!val!24) = $i!val!24).
% 12.72/8.40 tff(formula139, axiom,
% 12.72/8.40 k!11156($i!val!46) = $i!val!46).
% 12.72/8.40 tff(formula140, axiom,
% 12.72/8.40 k!11156($i!val!60) = $i!val!60).
% 12.72/8.40 tff(formula141, axiom,
% 12.72/8.40 k!11156($i!val!11) = $i!val!11).
% 12.72/8.40 tff(formula142, axiom,
% 12.72/8.40 k!11156($i!val!3) = $i!val!3).
% 12.72/8.40 tff(formula143, axiom,
% 12.72/8.40 k!11156($i!val!27) = $i!val!27).
% 12.72/8.40 tff(formula144, axiom,
% 12.72/8.40 k!11156($i!val!17) = $i!val!17).
% 12.72/8.40 tff(formula145, axiom,
% 12.72/8.40 k!11156($i!val!41) = $i!val!41).
% 12.72/8.40 tff(formula146, axiom,
% 12.72/8.40 k!11156($i!val!48) = $i!val!48).
% 12.72/8.40 tff(formula147, axiom,
% 12.72/8.40 k!11156($i!val!45) = $i!val!45).
% 12.72/8.40 tff(formula148, axiom,
% 12.72/8.40 k!11156($i!val!52) = $i!val!52).
% 12.72/8.40 tff(formula149, axiom,
% 12.72/8.40 k!11156($i!val!7) = $i!val!7).
% 12.72/8.40 tff(formula150, axiom,
% 12.72/8.40 k!11156($i!val!21) = $i!val!21).
% 12.72/8.40 tff(formula151, axiom,
% 12.72/8.40 k!11156($i!val!75) = $i!val!75).
% 12.72/8.40 tff(formula152, axiom,
% 12.72/8.40 k!11156($i!val!55) = $i!val!55).
% 12.72/8.40 tff(formula153, axiom,
% 12.72/8.40 k!11156($i!val!63) = $i!val!63).
% 12.72/8.40 tff(formula154, axiom,
% 12.72/8.40 k!11156($i!val!98) = $i!val!98).
% 12.72/8.40 tff(formula155, axiom,
% 12.72/8.40 k!11156($i!val!16) = $i!val!16).
% 12.72/8.40 tff(formula156, axiom,
% 12.72/8.40 k!11156($i!val!4) = $i!val!4).
% 12.72/8.40 tff(formula157, axiom,
% 12.72/8.40 k!11156($i!val!15) = $i!val!15).
% 12.72/8.40 tff(formula158, axiom,
% 12.72/8.40 k!11156($i!val!20) = $i!val!20).
% 12.72/8.40 tff(formula159, axiom,
% 12.72/8.40 k!11156($i!val!29) = $i!val!29).
% 12.72/8.40 tff(formula160, axiom,
% 12.72/8.40 k!11156($i!val!65) = $i!val!65).
% 12.72/8.40 tff(formula161, axiom,
% 12.72/8.40 k!11156($i!val!9) = $i!val!9).
% 12.72/8.40 tff(formula162, axiom,
% 12.72/8.40 k!11156($i!val!19) = $i!val!19).
% 12.72/8.40 tff(formula163, axiom,
% 12.72/8.40 k!11156($i!val!36) = $i!val!36).
% 12.72/8.40 tff(formula164, axiom,
% 12.72/8.40 k!11156($i!val!51) = $i!val!51).
% 12.72/8.40 tff(formula165, axiom,
% 12.72/8.40 k!11156($i!val!34) = $i!val!34).
% 12.72/8.40 tff(formula166, axiom,
% 12.72/8.40 k!11156($i!val!71) = $i!val!71).
% 12.72/8.40 tff(formula167, axiom,
% 12.72/8.40 k!11156($i!val!68) = $i!val!68).
% 12.72/8.40 tff(formula168, axiom,
% 12.72/8.40 k!11156($i!val!62) = $i!val!62).
% 12.72/8.40 tff(formula169, axiom,
% 12.72/8.40 k!11156($i!val!91) = $i!val!91).
% 12.72/8.40 tff(formula170, axiom,
% 12.72/8.40 k!11156($i!val!77) = $i!val!77).
% 12.72/8.40 tff(formula171, axiom,
% 12.72/8.40 k!11156($i!val!73) = $i!val!73).
% 12.72/8.40 tff(formula172, axiom,
% 12.72/8.40 k!11156($i!val!44) = $i!val!44).
% 12.72/8.40 tff(formula173, axiom,
% 12.72/8.40 k!11156($i!val!47) = $i!val!47).
% 12.72/8.40 tff(formula174, axiom,
% 12.72/8.40 k!11156($i!val!0) = $i!val!0).
% 12.72/8.40 tff(formula175, axiom,
% 12.72/8.40 k!11156($i!val!38) = $i!val!38).
% 12.72/8.40 tff(formula176, axiom,
% 12.72/8.40 ![X0: $i] : ((~((($i!val!58 = X0)) | (($i!val!13 = X0)) | (($i!val!32 = X0)) | (($i!val!37 = X0)) | (($i!val!6 = X0)) | (($i!val!26 = X0)) | (($i!val!30 = X0)) | (($i!val!59 = X0)) | (($i!val!24 = X0)) | (($i!val!46 = X0)) | (($i!val!60 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!27 = X0)) | (($i!val!17 = X0)) | (($i!val!41 = X0)) | (($i!val!48 = X0)) | (($i!val!45 = X0)) | (($i!val!52 = X0)) | (($i!val!7 = X0)) | (($i!val!21 = X0)) | (($i!val!75 = X0)) | (($i!val!55 = X0)) | (($i!val!63 = X0)) | (($i!val!98 = X0)) | (($i!val!16 = X0)) | (($i!val!4 = X0)) | (($i!val!15 = X0)) | (($i!val!20 = X0)) | (($i!val!29 = X0)) | (($i!val!65 = X0)) | (($i!val!9 = X0)) | (($i!val!19 = X0)) | (($i!val!36 = X0)) | (($i!val!51 = X0)) | (($i!val!34 = X0)) | (($i!val!71 = X0)) | (($i!val!68 = X0)) | (($i!val!62 = X0)) | (($i!val!91 = X0)) | (($i!val!77 = X0)) | (($i!val!73 = X0)) | (($i!val!44 = X0)) | (($i!val!47 = X0)) | (($i!val!0 = X0)) | (($i!val!38 = X0)))) => (k!11156(X0) = $i!val!102))).
% 12.72/8.40 tff(formula177, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!39)) | ((k!11156(X1) = $i!val!24) & (k!11155(X0) = $i!val!25)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!89)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!89))))).
% 12.72/8.40 tff(formula178, axiom,
% 12.72/8.40 ![X0: $i] : (c7_1(X0) <=> ((k!11156(X0) = $i!val!44) | (k!11156(X0) = $i!val!68) | (k!11156(X0) = $i!val!41) | (k!11156(X0) = $i!val!30) | (k!11156(X0) = $i!val!71)))).
% 12.72/8.40 tff(formula179, axiom,
% 12.72/8.40 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!64)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!99)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!76)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!10)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!101)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!84)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!28)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!66)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!40)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!54)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!50)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!74)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!49)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!22)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!81)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!92)) | ((k!11156(X1) = $i!val!0) & (k!11155(X0) = $i!val!1)) | ((k!11156(X1) = $i!val!4) & (k!11155(X0) = $i!val!5)) | ((k!11156(X1) = $i!val!24) & (k!11155(X0) = $i!val!25)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!67)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!1)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!18)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!8)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!79)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!56)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!23)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!96)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!25)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!83)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!94)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!100)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!72)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!31)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!78))))).
% 12.72/8.40 tff(formula180, axiom,
% 12.72/8.40 k!11155($i!val!93) = $i!val!93).
% 12.72/8.40 tff(formula181, axiom,
% 12.72/8.40 k!11155($i!val!86) = $i!val!86).
% 12.72/8.40 tff(formula182, axiom,
% 12.72/8.40 k!11155($i!val!5) = $i!val!5).
% 12.72/8.40 tff(formula183, axiom,
% 12.72/8.40 k!11155($i!val!2) = $i!val!2).
% 12.72/8.40 tff(formula184, axiom,
% 12.72/8.40 k!11155($i!val!81) = $i!val!81).
% 12.72/8.40 tff(formula185, axiom,
% 12.72/8.40 k!11155($i!val!33) = $i!val!33).
% 12.72/8.40 tff(formula186, axiom,
% 12.72/8.40 k!11155($i!val!80) = $i!val!80).
% 12.72/8.40 tff(formula187, axiom,
% 12.72/8.40 k!11155($i!val!28) = $i!val!28).
% 12.72/8.40 tff(formula188, axiom,
% 12.72/8.40 k!11155($i!val!1) = $i!val!1).
% 12.72/8.40 tff(formula189, axiom,
% 12.72/8.40 k!11155($i!val!97) = $i!val!97).
% 12.72/8.40 tff(formula190, axiom,
% 12.72/8.40 k!11155($i!val!23) = $i!val!23).
% 12.72/8.40 tff(formula191, axiom,
% 12.72/8.40 k!11155($i!val!40) = $i!val!40).
% 12.72/8.40 tff(formula192, axiom,
% 12.72/8.40 k!11155($i!val!76) = $i!val!76).
% 12.72/8.40 tff(formula193, axiom,
% 12.72/8.40 k!11155($i!val!39) = $i!val!39).
% 12.72/8.40 tff(formula194, axiom,
% 12.72/8.40 k!11155($i!val!64) = $i!val!64).
% 12.72/8.40 tff(formula195, axiom,
% 12.72/8.40 k!11155($i!val!57) = $i!val!57).
% 12.72/8.40 tff(formula196, axiom,
% 12.72/8.40 k!11155($i!val!25) = $i!val!25).
% 12.72/8.40 tff(formula197, axiom,
% 12.72/8.40 k!11155($i!val!78) = $i!val!78).
% 12.72/8.40 tff(formula198, axiom,
% 12.72/8.40 k!11155($i!val!90) = $i!val!90).
% 12.72/8.40 tff(formula199, axiom,
% 12.72/8.40 k!11155($i!val!14) = $i!val!14).
% 12.72/8.40 tff(formula200, axiom,
% 12.72/8.40 k!11155($i!val!53) = $i!val!53).
% 12.72/8.40 tff(formula201, axiom,
% 12.72/8.40 k!11155($i!val!92) = $i!val!92).
% 12.72/8.40 tff(formula202, axiom,
% 12.72/8.40 k!11155($i!val!8) = $i!val!8).
% 12.72/8.40 tff(formula203, axiom,
% 12.72/8.40 k!11155($i!val!82) = $i!val!82).
% 12.72/8.40 tff(formula204, axiom,
% 12.72/8.40 k!11155($i!val!99) = $i!val!99).
% 12.72/8.40 tff(formula205, axiom,
% 12.72/8.40 k!11155($i!val!72) = $i!val!72).
% 12.72/8.40 tff(formula206, axiom,
% 12.72/8.40 k!11155($i!val!43) = $i!val!43).
% 12.72/8.40 tff(formula207, axiom,
% 12.72/8.40 k!11155($i!val!12) = $i!val!12).
% 12.72/8.40 tff(formula208, axiom,
% 12.72/8.40 k!11155($i!val!49) = $i!val!49).
% 12.72/8.40 tff(formula209, axiom,
% 12.72/8.40 k!11155($i!val!74) = $i!val!74).
% 12.72/8.40 tff(formula210, axiom,
% 12.72/8.40 k!11155($i!val!67) = $i!val!67).
% 12.72/8.40 tff(formula211, axiom,
% 12.72/8.40 k!11155($i!val!54) = $i!val!54).
% 12.72/8.40 tff(formula212, axiom,
% 12.72/8.40 k!11155($i!val!66) = $i!val!66).
% 12.72/8.40 tff(formula213, axiom,
% 12.72/8.40 k!11155($i!val!88) = $i!val!88).
% 12.72/8.40 tff(formula214, axiom,
% 12.72/8.40 k!11155($i!val!85) = $i!val!85).
% 12.72/8.40 tff(formula215, axiom,
% 12.72/8.40 k!11155($i!val!79) = $i!val!79).
% 12.72/8.40 tff(formula216, axiom,
% 12.72/8.40 k!11155($i!val!84) = $i!val!84).
% 12.72/8.40 tff(formula217, axiom,
% 12.72/8.40 k!11155($i!val!61) = $i!val!61).
% 12.72/8.40 tff(formula218, axiom,
% 12.72/8.40 k!11155($i!val!89) = $i!val!89).
% 12.72/8.40 tff(formula219, axiom,
% 12.72/8.40 k!11155($i!val!35) = $i!val!35).
% 12.72/8.40 tff(formula220, axiom,
% 12.72/8.40 k!11155($i!val!18) = $i!val!18).
% 12.72/8.40 tff(formula221, axiom,
% 12.72/8.40 k!11155($i!val!42) = $i!val!42).
% 12.72/8.40 tff(formula222, axiom,
% 12.72/8.40 k!11155($i!val!101) = $i!val!101).
% 12.72/8.40 tff(formula223, axiom,
% 12.72/8.40 k!11155($i!val!56) = $i!val!56).
% 12.72/8.40 tff(formula224, axiom,
% 12.72/8.40 k!11155($i!val!69) = $i!val!69).
% 12.72/8.40 tff(formula225, axiom,
% 12.72/8.40 k!11155($i!val!94) = $i!val!94).
% 12.72/8.40 tff(formula226, axiom,
% 12.72/8.40 k!11155($i!val!10) = $i!val!10).
% 12.72/8.40 tff(formula227, axiom,
% 12.72/8.40 k!11155($i!val!83) = $i!val!83).
% 12.72/8.40 tff(formula228, axiom,
% 12.72/8.40 k!11155($i!val!95) = $i!val!95).
% 12.72/8.40 tff(formula229, axiom,
% 12.72/8.40 k!11155($i!val!31) = $i!val!31).
% 12.72/8.40 tff(formula230, axiom,
% 12.72/8.40 k!11155($i!val!87) = $i!val!87).
% 12.72/8.40 tff(formula231, axiom,
% 12.72/8.40 k!11155($i!val!50) = $i!val!50).
% 12.72/8.40 tff(formula232, axiom,
% 12.72/8.40 k!11155($i!val!96) = $i!val!96).
% 12.72/8.40 tff(formula233, axiom,
% 12.72/8.40 k!11155($i!val!22) = $i!val!22).
% 12.72/8.40 tff(formula234, axiom,
% 12.72/8.40 k!11155($i!val!70) = $i!val!70).
% 12.72/8.40 tff(formula235, axiom,
% 12.72/8.40 ![X0: $i] : ((~((($i!val!93 = X0)) | (($i!val!86 = X0)) | (($i!val!5 = X0)) | (($i!val!2 = X0)) | (($i!val!81 = X0)) | (($i!val!33 = X0)) | (($i!val!80 = X0)) | (($i!val!28 = X0)) | (($i!val!1 = X0)) | (($i!val!97 = X0)) | (($i!val!23 = X0)) | (($i!val!40 = X0)) | (($i!val!76 = X0)) | (($i!val!39 = X0)) | (($i!val!64 = X0)) | (($i!val!57 = X0)) | (($i!val!25 = X0)) | (($i!val!78 = X0)) | (($i!val!90 = X0)) | (($i!val!14 = X0)) | (($i!val!53 = X0)) | (($i!val!92 = X0)) | (($i!val!8 = X0)) | (($i!val!82 = X0)) | (($i!val!99 = X0)) | (($i!val!72 = X0)) | (($i!val!43 = X0)) | (($i!val!12 = X0)) | (($i!val!49 = X0)) | (($i!val!74 = X0)) | (($i!val!67 = X0)) | (($i!val!54 = X0)) | (($i!val!66 = X0)) | (($i!val!88 = X0)) | (($i!val!85 = X0)) | (($i!val!79 = X0)) | (($i!val!84 = X0)) | (($i!val!61 = X0)) | (($i!val!89 = X0)) | (($i!val!35 = X0)) | (($i!val!18 = X0)) | (($i!val!42 = X0)) | (($i!val!101 = X0)) | (($i!val!56 = X0)) | (($i!val!69 = X0)) | (($i!val!94 = X0)) | (($i!val!10 = X0)) | (($i!val!83 = X0)) | (($i!val!95 = X0)) | (($i!val!31 = X0)) | (($i!val!87 = X0)) | (($i!val!50 = X0)) | (($i!val!96 = X0)) | (($i!val!22 = X0)) | (($i!val!70 = X0)))) => (k!11155(X0) = $i!val!100))).
% 12.72/8.41 tff(formula236, axiom,
% 12.72/8.41 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!11156(X1) = $i!val!0) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!87)) | ((k!11156(X1) = $i!val!75) & (k!11155(X0) = $i!val!90)) | ((k!11156(X1) = $i!val!38) & (k!11155(X0) = $i!val!90)) | ((k!11156(X1) = $i!val!24) & (k!11155(X0) = $i!val!25)) | ((k!11156(X1) = $i!val!55) & (k!11155(X0) = $i!val!87))))).
% 12.72/8.41 % SZS output end Model
%------------------------------------------------------------------------------