TSTP Solution File: SYN434+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN434+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n027.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 23:55:21 EDT 2022

% Result   : CounterSatisfiable 0.21s 0.54s
% Output   : Model 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN434+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Sep  5 03:45:37 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.
% 0.21/0.54  % SZS status CounterSatisfiable
% 0.21/0.54  % SZS output start Model
% 0.21/0.54  tff(hskp10_type, type, (
% 0.21/0.54     hskp10: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.54     tptp_fun__i_val_9: $i)).
% 0.21/0.54  tff(a249_type, type, (
% 0.21/0.54     a249: $i)).
% 0.21/0.54  tff(ndr1_0_type, type, (
% 0.21/0.54     ndr1_0: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.54     tptp_fun__i_val_2: $i)).
% 0.21/0.54  tff(a233_type, type, (
% 0.21/0.54     a233: $i)).
% 0.21/0.54  tff(hskp40_type, type, (
% 0.21/0.54     hskp40: $o)).
% 0.21/0.54  tff(hskp22_type, type, (
% 0.21/0.54     hskp22: $o)).
% 0.21/0.54  tff(hskp14_type, type, (
% 0.21/0.54     hskp14: $o)).
% 0.21/0.54  tff(hskp50_type, type, (
% 0.21/0.54     hskp50: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.54     tptp_fun__i_val_6: $i)).
% 0.21/0.54  tff(a240_type, type, (
% 0.21/0.54     a240: $i)).
% 0.21/0.54  tff(hskp21_type, type, (
% 0.21/0.54     hskp21: $o)).
% 0.21/0.54  tff(hskp0_type, type, (
% 0.21/0.54     hskp0: $o)).
% 0.21/0.54  tff(hskp26_type, type, (
% 0.21/0.54     hskp26: $o)).
% 0.21/0.54  tff(hskp24_type, type, (
% 0.21/0.54     hskp24: $o)).
% 0.21/0.54  tff(hskp6_type, type, (
% 0.21/0.54     hskp6: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.54     tptp_fun__i_val_5: $i)).
% 0.21/0.54  tff(a239_type, type, (
% 0.21/0.54     a239: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_15_type, type, (
% 0.21/0.54     tptp_fun__i_val_15: $i)).
% 0.21/0.54  tff(a224_type, type, (
% 0.21/0.54     a224: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.54     tptp_fun__i_val_0: $i)).
% 0.21/0.54  tff(a229_type, type, (
% 0.21/0.54     a229: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_22_type, type, (
% 0.21/0.54     tptp_fun__i_val_22: $i)).
% 0.21/0.54  tff(a244_type, type, (
% 0.21/0.54     a244: $i)).
% 0.21/0.54  tff(hskp48_type, type, (
% 0.21/0.54     hskp48: $o)).
% 0.21/0.54  tff(hskp45_type, type, (
% 0.21/0.54     hskp45: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_30_type, type, (
% 0.21/0.54     tptp_fun__i_val_30: $i)).
% 0.21/0.54  tff(a265_type, type, (
% 0.21/0.54     a265: $i)).
% 0.21/0.54  tff(hskp2_type, type, (
% 0.21/0.54     hskp2: $o)).
% 0.21/0.54  tff(hskp34_type, type, (
% 0.21/0.54     hskp34: $o)).
% 0.21/0.54  tff(hskp5_type, type, (
% 0.21/0.54     hskp5: $o)).
% 0.21/0.54  tff(hskp36_type, type, (
% 0.21/0.54     hskp36: $o)).
% 0.21/0.54  tff(hskp43_type, type, (
% 0.21/0.54     hskp43: $o)).
% 0.21/0.54  tff(hskp4_type, type, (
% 0.21/0.54     hskp4: $o)).
% 0.21/0.54  tff(hskp15_type, type, (
% 0.21/0.54     hskp15: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.54     tptp_fun__i_val_7: $i)).
% 0.21/0.54  tff(a243_type, type, (
% 0.21/0.54     a243: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_11_type, type, (
% 0.21/0.54     tptp_fun__i_val_11: $i)).
% 0.21/0.54  tff(a255_type, type, (
% 0.21/0.54     a255: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_18_type, type, (
% 0.21/0.54     tptp_fun__i_val_18: $i)).
% 0.21/0.54  tff(a235_type, type, (
% 0.21/0.54     a235: $i)).
% 0.21/0.54  tff(hskp7_type, type, (
% 0.21/0.54     hskp7: $o)).
% 0.21/0.54  tff(hskp33_type, type, (
% 0.21/0.54     hskp33: $o)).
% 0.21/0.54  tff(hskp51_type, type, (
% 0.21/0.54     hskp51: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_23_type, type, (
% 0.21/0.54     tptp_fun__i_val_23: $i)).
% 0.21/0.54  tff(a248_type, type, (
% 0.21/0.54     a248: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_34_type, type, (
% 0.21/0.54     tptp_fun__i_val_34: $i)).
% 0.21/0.54  tff(a276_type, type, (
% 0.21/0.54     a276: $i)).
% 0.21/0.54  tff(hskp1_type, type, (
% 0.21/0.54     hskp1: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.54     tptp_fun__i_val_8: $i)).
% 0.21/0.54  tff(a246_type, type, (
% 0.21/0.54     a246: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_17_type, type, (
% 0.21/0.54     tptp_fun__i_val_17: $i)).
% 0.21/0.54  tff(a232_type, type, (
% 0.21/0.54     a232: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_33_type, type, (
% 0.21/0.54     tptp_fun__i_val_33: $i)).
% 0.21/0.54  tff(a272_type, type, (
% 0.21/0.54     a272: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_27_type, type, (
% 0.21/0.54     tptp_fun__i_val_27: $i)).
% 0.21/0.54  tff(a258_type, type, (
% 0.21/0.54     a258: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_19_type, type, (
% 0.21/0.54     tptp_fun__i_val_19: $i)).
% 0.21/0.54  tff(a236_type, type, (
% 0.21/0.54     a236: $i)).
% 0.21/0.54  tff(hskp20_type, type, (
% 0.21/0.54     hskp20: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.54     tptp_fun__i_val_4: $i)).
% 0.21/0.54  tff(a238_type, type, (
% 0.21/0.54     a238: $i)).
% 0.21/0.54  tff(hskp47_type, type, (
% 0.21/0.54     hskp47: $o)).
% 0.21/0.54  tff(hskp23_type, type, (
% 0.21/0.54     hskp23: $o)).
% 0.21/0.54  tff(hskp28_type, type, (
% 0.21/0.54     hskp28: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.54     tptp_fun__i_val_10: $i)).
% 0.21/0.54  tff(a253_type, type, (
% 0.21/0.54     a253: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_26_type, type, (
% 0.21/0.54     tptp_fun__i_val_26: $i)).
% 0.21/0.54  tff(a257_type, type, (
% 0.21/0.54     a257: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_28_type, type, (
% 0.21/0.54     tptp_fun__i_val_28: $i)).
% 0.21/0.54  tff(a260_type, type, (
% 0.21/0.54     a260: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_24_type, type, (
% 0.21/0.54     tptp_fun__i_val_24: $i)).
% 0.21/0.54  tff(a251_type, type, (
% 0.21/0.54     a251: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_31_type, type, (
% 0.21/0.54     tptp_fun__i_val_31: $i)).
% 0.21/0.54  tff(a269_type, type, (
% 0.21/0.54     a269: $i)).
% 0.21/0.54  tff(hskp52_type, type, (
% 0.21/0.54     hskp52: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_25_type, type, (
% 0.21/0.54     tptp_fun__i_val_25: $i)).
% 0.21/0.54  tff(a256_type, type, (
% 0.21/0.54     a256: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_32_type, type, (
% 0.21/0.54     tptp_fun__i_val_32: $i)).
% 0.21/0.54  tff(a270_type, type, (
% 0.21/0.54     a270: $i)).
% 0.21/0.54  tff(hskp31_type, type, (
% 0.21/0.54     hskp31: $o)).
% 0.21/0.54  tff(hskp41_type, type, (
% 0.21/0.54     hskp41: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.54     tptp_fun__i_val_1: $i)).
% 0.21/0.54  tff(a230_type, type, (
% 0.21/0.54     a230: $i)).
% 0.21/0.54  tff(hskp12_type, type, (
% 0.21/0.54     hskp12: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_20_type, type, (
% 0.21/0.54     tptp_fun__i_val_20: $i)).
% 0.21/0.54  tff(a237_type, type, (
% 0.21/0.54     a237: $i)).
% 0.21/0.54  tff(hskp19_type, type, (
% 0.21/0.54     hskp19: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_13_type, type, (
% 0.21/0.54     tptp_fun__i_val_13: $i)).
% 0.21/0.54  tff(a277_type, type, (
% 0.21/0.54     a277: $i)).
% 0.21/0.54  tff(hskp46_type, type, (
% 0.21/0.54     hskp46: $o)).
% 0.21/0.54  tff(hskp27_type, type, (
% 0.21/0.54     hskp27: $o)).
% 0.21/0.54  tff(hskp37_type, type, (
% 0.21/0.54     hskp37: $o)).
% 0.21/0.54  tff(hskp38_type, type, (
% 0.21/0.54     hskp38: $o)).
% 0.21/0.54  tff(hskp35_type, type, (
% 0.21/0.54     hskp35: $o)).
% 0.21/0.54  tff(hskp44_type, type, (
% 0.21/0.54     hskp44: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_21_type, type, (
% 0.21/0.54     tptp_fun__i_val_21: $i)).
% 0.21/0.54  tff(a242_type, type, (
% 0.21/0.54     a242: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_12_type, type, (
% 0.21/0.54     tptp_fun__i_val_12: $i)).
% 0.21/0.54  tff(a263_type, type, (
% 0.21/0.54     a263: $i)).
% 0.21/0.54  tff(hskp3_type, type, (
% 0.21/0.54     hskp3: $o)).
% 0.21/0.54  tff(hskp18_type, type, (
% 0.21/0.54     hskp18: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_16_type, type, (
% 0.21/0.54     tptp_fun__i_val_16: $i)).
% 0.21/0.54  tff(a225_type, type, (
% 0.21/0.54     a225: $i)).
% 0.21/0.54  tff(hskp30_type, type, (
% 0.21/0.54     hskp30: $o)).
% 0.21/0.54  tff(hskp39_type, type, (
% 0.21/0.54     hskp39: $o)).
% 0.21/0.54  tff(hskp16_type, type, (
% 0.21/0.54     hskp16: $o)).
% 0.21/0.54  tff(hskp32_type, type, (
% 0.21/0.54     hskp32: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.54     tptp_fun__i_val_3: $i)).
% 0.21/0.54  tff(a234_type, type, (
% 0.21/0.54     a234: $i)).
% 0.21/0.54  tff(hskp13_type, type, (
% 0.21/0.54     hskp13: $o)).
% 0.21/0.54  tff(tptp_fun__i_val_14_type, type, (
% 0.21/0.54     tptp_fun__i_val_14: $i)).
% 0.21/0.54  tff(a281_type, type, (
% 0.21/0.54     a281: $i)).
% 0.21/0.54  tff(tptp_fun__i_val_29_type, type, (
% 0.21/0.54     tptp_fun__i_val_29: $i)).
% 0.21/0.54  tff(a262_type, type, (
% 0.21/0.54     a262: $i)).
% 0.21/0.54  tff(hskp25_type, type, (
% 0.21/0.54     hskp25: $o)).
% 0.21/0.54  tff(hskp9_type, type, (
% 0.21/0.54     hskp9: $o)).
% 0.21/0.54  tff(hskp29_type, type, (
% 0.21/0.54     hskp29: $o)).
% 0.21/0.54  tff(k!0_type, type, (
% 0.21/0.54     k!0: $i > $i)).
% 0.21/0.54  tff(c3_1_type, type, (
% 0.21/0.54     c3_1: $i > $o)).
% 0.21/0.54  tff(c0_1_type, type, (
% 0.21/0.54     c0_1: $i > $o)).
% 0.21/0.54  tff(c1_1_type, type, (
% 0.21/0.54     c1_1: $i > $o)).
% 0.21/0.54  tff(c2_1_type, type, (
% 0.21/0.54     c2_1: $i > $o)).
% 0.21/0.54  tff(formula1, axiom,
% 0.21/0.54      hskp10 <=> $true).
% 0.21/0.54  tff(formula2, axiom,
% 0.21/0.54      a249 = $i!val!9).
% 0.21/0.54  tff(formula3, axiom,
% 0.21/0.54      ndr1_0 <=> $true).
% 0.21/0.54  tff(formula4, axiom,
% 0.21/0.54      a233 = $i!val!2).
% 0.21/0.54  tff(formula5, axiom,
% 0.21/0.54      hskp40 <=> $true).
% 0.21/0.54  tff(formula6, axiom,
% 0.21/0.54      hskp22 <=> $true).
% 0.21/0.54  tff(formula7, axiom,
% 0.21/0.54      hskp14 <=> $true).
% 0.21/0.54  tff(formula8, axiom,
% 0.21/0.54      hskp50 <=> $false).
% 0.21/0.54  tff(formula9, axiom,
% 0.21/0.54      a240 = $i!val!6).
% 0.21/0.54  tff(formula10, axiom,
% 0.21/0.54      hskp21 <=> $false).
% 0.21/0.54  tff(formula11, axiom,
% 0.21/0.54      hskp0 <=> $false).
% 0.21/0.54  tff(formula12, axiom,
% 0.21/0.54      hskp26 <=> $true).
% 0.21/0.54  tff(formula13, axiom,
% 0.21/0.54      hskp24 <=> $false).
% 0.21/0.54  tff(formula14, axiom,
% 0.21/0.54      hskp6 <=> $true).
% 0.21/0.54  tff(formula15, axiom,
% 0.21/0.54      a239 = $i!val!5).
% 0.21/0.54  tff(formula16, axiom,
% 0.21/0.54      a224 = $i!val!15).
% 0.21/0.54  tff(formula17, axiom,
% 0.21/0.54      a229 = $i!val!0).
% 0.21/0.54  tff(formula18, axiom,
% 0.21/0.54      a244 = $i!val!22).
% 0.21/0.54  tff(formula19, axiom,
% 0.21/0.54      hskp48 <=> $false).
% 0.21/0.54  tff(formula20, axiom,
% 0.21/0.54      hskp45 <=> $true).
% 0.21/0.54  tff(formula21, axiom,
% 0.21/0.54      a265 = $i!val!30).
% 0.21/0.54  tff(formula22, axiom,
% 0.21/0.54      hskp2 <=> $false).
% 0.21/0.54  tff(formula23, axiom,
% 0.21/0.54      hskp34 <=> $false).
% 0.21/0.54  tff(formula24, axiom,
% 0.21/0.54      hskp5 <=> $true).
% 0.21/0.54  tff(formula25, axiom,
% 0.21/0.54      hskp36 <=> $false).
% 0.21/0.54  tff(formula26, axiom,
% 0.21/0.54      hskp43 <=> $false).
% 0.21/0.54  tff(formula27, axiom,
% 0.21/0.54      hskp4 <=> $true).
% 0.21/0.54  tff(formula28, axiom,
% 0.21/0.54      hskp15 <=> $false).
% 0.21/0.54  tff(formula29, axiom,
% 0.21/0.54      a243 = $i!val!7).
% 0.21/0.54  tff(formula30, axiom,
% 0.21/0.54      a255 = $i!val!11).
% 0.21/0.54  tff(formula31, axiom,
% 0.21/0.54      a235 = $i!val!18).
% 0.21/0.54  tff(formula32, axiom,
% 0.21/0.54      hskp7 <=> $true).
% 0.21/0.54  tff(formula33, axiom,
% 0.21/0.54      hskp33 <=> $true).
% 0.21/0.54  tff(formula34, axiom,
% 0.21/0.54      hskp51 <=> $true).
% 0.21/0.54  tff(formula35, axiom,
% 0.21/0.54      a248 = $i!val!23).
% 0.21/0.54  tff(formula36, axiom,
% 0.21/0.54      a276 = $i!val!34).
% 0.21/0.54  tff(formula37, axiom,
% 0.21/0.54      hskp1 <=> $false).
% 0.21/0.54  tff(formula38, axiom,
% 0.21/0.54      a246 = $i!val!8).
% 0.21/0.54  tff(formula39, axiom,
% 0.21/0.54      a232 = $i!val!17).
% 0.21/0.54  tff(formula40, axiom,
% 0.21/0.54      a272 = $i!val!33).
% 0.21/0.54  tff(formula41, axiom,
% 0.21/0.54      a258 = $i!val!27).
% 0.21/0.54  tff(formula42, axiom,
% 0.21/0.54      a236 = $i!val!19).
% 0.21/0.54  tff(formula43, axiom,
% 0.21/0.54      hskp20 <=> $false).
% 0.21/0.54  tff(formula44, axiom,
% 0.21/0.54      a238 = $i!val!4).
% 0.21/0.54  tff(formula45, axiom,
% 0.21/0.54      hskp47 <=> $true).
% 0.21/0.54  tff(formula46, axiom,
% 0.21/0.54      hskp23 <=> $false).
% 0.21/0.54  tff(formula47, axiom,
% 0.21/0.54      hskp28 <=> $true).
% 0.21/0.54  tff(formula48, axiom,
% 0.21/0.54      a253 = $i!val!10).
% 0.21/0.54  tff(formula49, axiom,
% 0.21/0.54      a257 = $i!val!26).
% 0.21/0.54  tff(formula50, axiom,
% 0.21/0.54      a260 = $i!val!28).
% 0.21/0.54  tff(formula51, axiom,
% 0.21/0.54      a251 = $i!val!24).
% 0.21/0.54  tff(formula52, axiom,
% 0.21/0.54      a269 = $i!val!31).
% 0.21/0.54  tff(formula53, axiom,
% 0.21/0.54      hskp52 <=> $false).
% 0.21/0.54  tff(formula54, axiom,
% 0.21/0.54      a256 = $i!val!25).
% 0.21/0.54  tff(formula55, axiom,
% 0.21/0.54      a270 = $i!val!32).
% 0.21/0.54  tff(formula56, axiom,
% 0.21/0.54      hskp31 <=> $true).
% 0.21/0.54  tff(formula57, axiom,
% 0.21/0.54      hskp41 <=> $true).
% 0.21/0.54  tff(formula58, axiom,
% 0.21/0.54      a230 = $i!val!1).
% 0.21/0.54  tff(formula59, axiom,
% 0.21/0.54      hskp12 <=> $false).
% 0.21/0.54  tff(formula60, axiom,
% 0.21/0.54      a237 = $i!val!20).
% 0.21/0.54  tff(formula61, axiom,
% 0.21/0.54      hskp19 <=> $false).
% 0.21/0.54  tff(formula62, axiom,
% 0.21/0.54      a277 = $i!val!13).
% 0.21/0.54  tff(formula63, axiom,
% 0.21/0.54      hskp46 <=> $false).
% 0.21/0.54  tff(formula64, axiom,
% 0.21/0.54      hskp27 <=> $false).
% 0.21/0.54  tff(formula65, axiom,
% 0.21/0.54      hskp37 <=> $true).
% 0.21/0.54  tff(formula66, axiom,
% 0.21/0.54      hskp38 <=> $false).
% 0.21/0.54  tff(formula67, axiom,
% 0.21/0.54      hskp35 <=> $true).
% 0.21/0.54  tff(formula68, axiom,
% 0.21/0.54      hskp44 <=> $true).
% 0.21/0.54  tff(formula69, axiom,
% 0.21/0.54      a242 = $i!val!21).
% 0.21/0.54  tff(formula70, axiom,
% 0.21/0.54      a263 = $i!val!12).
% 0.21/0.54  tff(formula71, axiom,
% 0.21/0.54      hskp3 <=> $false).
% 0.21/0.54  tff(formula72, axiom,
% 0.21/0.54      hskp18 <=> $true).
% 0.21/0.54  tff(formula73, axiom,
% 0.21/0.54      a225 = $i!val!16).
% 0.21/0.54  tff(formula74, axiom,
% 0.21/0.54      hskp30 <=> $true).
% 0.21/0.54  tff(formula75, axiom,
% 0.21/0.54      hskp39 <=> $false).
% 0.21/0.54  tff(formula76, axiom,
% 0.21/0.54      hskp16 <=> $true).
% 0.21/0.54  tff(formula77, axiom,
% 0.21/0.54      hskp32 <=> $true).
% 0.21/0.54  tff(formula78, axiom,
% 0.21/0.54      a234 = $i!val!3).
% 0.21/0.54  tff(formula79, axiom,
% 0.21/0.54      hskp13 <=> $true).
% 0.21/0.54  tff(formula80, axiom,
% 0.21/0.54      a281 = $i!val!14).
% 0.21/0.54  tff(formula81, axiom,
% 0.21/0.54      a262 = $i!val!29).
% 0.21/0.54  tff(formula82, axiom,
% 0.21/0.54      hskp25 <=> $false).
% 0.21/0.54  tff(formula83, axiom,
% 0.21/0.54      hskp9 <=> $false).
% 0.21/0.54  tff(formula84, axiom,
% 0.21/0.54      hskp29 <=> $true).
% 0.21/0.54  tff(formula85, axiom,
% 0.21/0.54      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!33) | (k!0(X0) = $i!val!34) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!28) | (k!0(X0) = $i!val!29) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!24) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!21)))).
% 0.21/0.54  tff(formula86, axiom,
% 0.21/0.54      k!0($i!val!9) = $i!val!9).
% 0.21/0.54  tff(formula87, axiom,
% 0.21/0.54      k!0($i!val!19) = $i!val!19).
% 0.21/0.54  tff(formula88, axiom,
% 0.21/0.54      k!0($i!val!33) = $i!val!33).
% 0.21/0.54  tff(formula89, axiom,
% 0.21/0.54      k!0($i!val!2) = $i!val!2).
% 0.21/0.54  tff(formula90, axiom,
% 0.21/0.54      k!0($i!val!10) = $i!val!10).
% 0.21/0.54  tff(formula91, axiom,
% 0.21/0.54      k!0($i!val!26) = $i!val!26).
% 0.21/0.54  tff(formula92, axiom,
% 0.21/0.54      k!0($i!val!28) = $i!val!28).
% 0.21/0.54  tff(formula93, axiom,
% 0.21/0.54      k!0($i!val!31) = $i!val!31).
% 0.21/0.54  tff(formula94, axiom,
% 0.21/0.54      k!0($i!val!32) = $i!val!32).
% 0.21/0.54  tff(formula95, axiom,
% 0.21/0.54      k!0($i!val!6) = $i!val!6).
% 0.21/0.54  tff(formula96, axiom,
% 0.21/0.54      k!0($i!val!5) = $i!val!5).
% 0.21/0.54  tff(formula97, axiom,
% 0.21/0.54      k!0($i!val!25) = $i!val!25).
% 0.21/0.54  tff(formula98, axiom,
% 0.21/0.54      k!0($i!val!15) = $i!val!15).
% 0.21/0.54  tff(formula99, axiom,
% 0.21/0.54      k!0($i!val!24) = $i!val!24).
% 0.21/0.54  tff(formula100, axiom,
% 0.21/0.54      k!0($i!val!0) = $i!val!0).
% 0.21/0.54  tff(formula101, axiom,
% 0.21/0.54      k!0($i!val!1) = $i!val!1).
% 0.21/0.54  tff(formula102, axiom,
% 0.21/0.54      k!0($i!val!22) = $i!val!22).
% 0.21/0.54  tff(formula103, axiom,
% 0.21/0.54      k!0($i!val!20) = $i!val!20).
% 0.21/0.54  tff(formula104, axiom,
% 0.21/0.54      k!0($i!val!13) = $i!val!13).
% 0.21/0.54  tff(formula105, axiom,
% 0.21/0.54      k!0($i!val!30) = $i!val!30).
% 0.21/0.54  tff(formula106, axiom,
% 0.21/0.54      k!0($i!val!21) = $i!val!21).
% 0.21/0.54  tff(formula107, axiom,
% 0.21/0.54      k!0($i!val!7) = $i!val!7).
% 0.21/0.54  tff(formula108, axiom,
% 0.21/0.54      k!0($i!val!12) = $i!val!12).
% 0.21/0.54  tff(formula109, axiom,
% 0.21/0.54      k!0($i!val!11) = $i!val!11).
% 0.21/0.54  tff(formula110, axiom,
% 0.21/0.54      k!0($i!val!16) = $i!val!16).
% 0.21/0.54  tff(formula111, axiom,
% 0.21/0.54      k!0($i!val!18) = $i!val!18).
% 0.21/0.54  tff(formula112, axiom,
% 0.21/0.54      k!0($i!val!34) = $i!val!34).
% 0.21/0.54  tff(formula113, axiom,
% 0.21/0.54      k!0($i!val!23) = $i!val!23).
% 0.21/0.54  tff(formula114, axiom,
% 0.21/0.54      k!0($i!val!29) = $i!val!29).
% 0.21/0.54  tff(formula115, axiom,
% 0.21/0.54      k!0($i!val!14) = $i!val!14).
% 0.21/0.54  tff(formula116, axiom,
% 0.21/0.54      k!0($i!val!3) = $i!val!3).
% 0.21/0.54  tff(formula117, axiom,
% 0.21/0.54      k!0($i!val!8) = $i!val!8).
% 0.21/0.54  tff(formula118, axiom,
% 0.21/0.54      k!0($i!val!17) = $i!val!17).
% 0.21/0.54  tff(formula119, axiom,
% 0.21/0.54      k!0($i!val!4) = $i!val!4).
% 0.21/0.54  tff(formula120, axiom,
% 0.21/0.54      ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!19 = X0)) | (($i!val!33 = X0)) | (($i!val!2 = X0)) | (($i!val!10 = X0)) | (($i!val!26 = X0)) | (($i!val!28 = X0)) | (($i!val!31 = X0)) | (($i!val!32 = X0)) | (($i!val!6 = X0)) | (($i!val!5 = X0)) | (($i!val!25 = X0)) | (($i!val!15 = X0)) | (($i!val!24 = X0)) | (($i!val!0 = X0)) | (($i!val!1 = X0)) | (($i!val!22 = X0)) | (($i!val!20 = X0)) | (($i!val!13 = X0)) | (($i!val!30 = X0)) | (($i!val!21 = X0)) | (($i!val!7 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!16 = X0)) | (($i!val!18 = X0)) | (($i!val!34 = X0)) | (($i!val!23 = X0)) | (($i!val!29 = X0)) | (($i!val!14 = X0)) | (($i!val!3 = X0)) | (($i!val!8 = X0)) | (($i!val!17 = X0)) | (($i!val!4 = X0)))) => (k!0(X0) = $i!val!27))).
% 0.21/0.55  tff(formula121, axiom,
% 0.21/0.55      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!32) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!8)))).
% 0.21/0.55  tff(formula122, axiom,
% 0.21/0.55      ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!31) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!21) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!30) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!8)))).
% 0.21/0.55  tff(formula123, axiom,
% 0.21/0.55      ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!26) | (k!0(X0) = $i!val!25) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!22) | (k!0(X0) = $i!val!23) | (k!0(X0) = $i!val!32) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!27) | (k!0(X0) = $i!val!12)))).
% 0.21/0.55  % SZS output end Model
%------------------------------------------------------------------------------