TSTP Solution File: SYN435-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN435-1 : 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 23:55:22 EDT 2022

% Result   : Satisfiable 1.76s 1.41s
% Output   : Model 1.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN435-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Sep  5 03:33:18 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 1.76/1.41  % SZS status Satisfiable
% 1.76/1.41  % SZS output start Model
% 1.76/1.41  tff(hskp10_type, type, (
% 1.76/1.41     hskp10: $o)).
% 1.76/1.41  tff(ndr1_0_type, type, (
% 1.76/1.41     ndr1_0: $o)).
% 1.76/1.41  tff(hskp40_type, type, (
% 1.76/1.41     hskp40: $o)).
% 1.76/1.41  tff(hskp22_type, type, (
% 1.76/1.41     hskp22: $o)).
% 1.76/1.41  tff(hskp50_type, type, (
% 1.76/1.41     hskp50: $o)).
% 1.76/1.41  tff(hskp14_type, type, (
% 1.76/1.41     hskp14: $o)).
% 1.76/1.41  tff(tptp_fun__i_val_18_type, type, (
% 1.76/1.41     tptp_fun__i_val_18: $i)).
% 1.76/1.41  tff(a347_type, type, (
% 1.76/1.41     a347: $i)).
% 1.76/1.41  tff(tptp_fun__i_val_20_type, type, (
% 1.76/1.41     tptp_fun__i_val_20: $i)).
% 1.76/1.41  tff(a324_type, type, (
% 1.76/1.41     a324: $i)).
% 1.76/1.41  tff(hskp21_type, type, (
% 1.76/1.41     hskp21: $o)).
% 1.76/1.41  tff(hskp0_type, type, (
% 1.76/1.41     hskp0: $o)).
% 1.76/1.41  tff(hskp49_type, type, (
% 1.76/1.41     hskp49: $o)).
% 1.76/1.41  tff(hskp26_type, type, (
% 1.76/1.41     hskp26: $o)).
% 1.76/1.41  tff(hskp24_type, type, (
% 1.76/1.41     hskp24: $o)).
% 1.76/1.41  tff(hskp6_type, type, (
% 1.76/1.41     hskp6: $o)).
% 1.76/1.41  tff(tptp_fun__i_val_1_type, type, (
% 1.76/1.41     tptp_fun__i_val_1: $i)).
% 1.76/1.41  tff(a344_type, type, (
% 1.76/1.41     a344: $i)).
% 1.76/1.41  tff(tptp_fun__i_val_2_type, type, (
% 1.76/1.41     tptp_fun__i_val_2: $i)).
% 1.76/1.41  tff(a342_type, type, (
% 1.76/1.41     a342: $i)).
% 1.76/1.41  tff(tptp_fun__i_val_11_type, type, (
% 1.76/1.41     tptp_fun__i_val_11: $i)).
% 1.76/1.42  tff(a286_type, type, (
% 1.76/1.42     a286: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_15_type, type, (
% 1.76/1.42     tptp_fun__i_val_15: $i)).
% 1.76/1.42  tff(a299_type, type, (
% 1.76/1.42     a299: $i)).
% 1.76/1.42  tff(hskp48_type, type, (
% 1.76/1.42     hskp48: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_19_type, type, (
% 1.76/1.42     tptp_fun__i_val_19: $i)).
% 1.76/1.42  tff(a337_type, type, (
% 1.76/1.42     a337: $i)).
% 1.76/1.42  tff(hskp45_type, type, (
% 1.76/1.42     hskp45: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_16_type, type, (
% 1.76/1.42     tptp_fun__i_val_16: $i)).
% 1.76/1.42  tff(a291_type, type, (
% 1.76/1.42     a291: $i)).
% 1.76/1.42  tff(hskp2_type, type, (
% 1.76/1.42     hskp2: $o)).
% 1.76/1.42  tff(hskp34_type, type, (
% 1.76/1.42     hskp34: $o)).
% 1.76/1.42  tff(hskp5_type, type, (
% 1.76/1.42     hskp5: $o)).
% 1.76/1.42  tff(hskp36_type, type, (
% 1.76/1.42     hskp36: $o)).
% 1.76/1.42  tff(hskp43_type, type, (
% 1.76/1.42     hskp43: $o)).
% 1.76/1.42  tff(hskp4_type, type, (
% 1.76/1.42     hskp4: $o)).
% 1.76/1.42  tff(hskp15_type, type, (
% 1.76/1.42     hskp15: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_12_type, type, (
% 1.76/1.42     tptp_fun__i_val_12: $i)).
% 1.76/1.42  tff(a327_type, type, (
% 1.76/1.42     a327: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_22_type, type, (
% 1.76/1.42     tptp_fun__i_val_22: $i)).
% 1.76/1.42  tff(a312_type, type, (
% 1.76/1.42     a312: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_13_type, type, (
% 1.76/1.42     tptp_fun__i_val_13: $i)).
% 1.76/1.42  tff(a322_type, type, (
% 1.76/1.42     a322: $i)).
% 1.76/1.42  tff(hskp7_type, type, (
% 1.76/1.42     hskp7: $o)).
% 1.76/1.42  tff(hskp51_type, type, (
% 1.76/1.42     hskp51: $o)).
% 1.76/1.42  tff(hskp33_type, type, (
% 1.76/1.42     hskp33: $o)).
% 1.76/1.42  tff(hskp1_type, type, (
% 1.76/1.42     hskp1: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_7_type, type, (
% 1.76/1.42     tptp_fun__i_val_7: $i)).
% 1.76/1.42  tff(a298_type, type, (
% 1.76/1.42     a298: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_5_type, type, (
% 1.76/1.42     tptp_fun__i_val_5: $i)).
% 1.76/1.42  tff(a331_type, type, (
% 1.76/1.42     a331: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_6_type, type, (
% 1.76/1.42     tptp_fun__i_val_6: $i)).
% 1.76/1.42  tff(a316_type, type, (
% 1.76/1.42     a316: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_8_type, type, (
% 1.76/1.42     tptp_fun__i_val_8: $i)).
% 1.76/1.42  tff(a296_type, type, (
% 1.76/1.42     a296: $i)).
% 1.76/1.42  tff(hskp17_type, type, (
% 1.76/1.42     hskp17: $o)).
% 1.76/1.42  tff(hskp20_type, type, (
% 1.76/1.42     hskp20: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_14_type, type, (
% 1.76/1.42     tptp_fun__i_val_14: $i)).
% 1.76/1.42  tff(a311_type, type, (
% 1.76/1.42     a311: $i)).
% 1.76/1.42  tff(hskp47_type, type, (
% 1.76/1.42     hskp47: $o)).
% 1.76/1.42  tff(hskp28_type, type, (
% 1.76/1.42     hskp28: $o)).
% 1.76/1.42  tff(hskp23_type, type, (
% 1.76/1.42     hskp23: $o)).
% 1.76/1.42  tff(hskp42_type, type, (
% 1.76/1.42     hskp42: $o)).
% 1.76/1.42  tff(hskp52_type, type, (
% 1.76/1.42     hskp52: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_23_type, type, (
% 1.76/1.42     tptp_fun__i_val_23: $i)).
% 1.76/1.42  tff(a310_type, type, (
% 1.76/1.42     a310: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_4_type, type, (
% 1.76/1.42     tptp_fun__i_val_4: $i)).
% 1.76/1.42  tff(a334_type, type, (
% 1.76/1.42     a334: $i)).
% 1.76/1.42  tff(hskp41_type, type, (
% 1.76/1.42     hskp41: $o)).
% 1.76/1.42  tff(hskp31_type, type, (
% 1.76/1.42     hskp31: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_3_type, type, (
% 1.76/1.42     tptp_fun__i_val_3: $i)).
% 1.76/1.42  tff(a340_type, type, (
% 1.76/1.42     a340: $i)).
% 1.76/1.42  tff(hskp12_type, type, (
% 1.76/1.42     hskp12: $o)).
% 1.76/1.42  tff(hskp11_type, type, (
% 1.76/1.42     hskp11: $o)).
% 1.76/1.42  tff(hskp19_type, type, (
% 1.76/1.42     hskp19: $o)).
% 1.76/1.42  tff(hskp46_type, type, (
% 1.76/1.42     hskp46: $o)).
% 1.76/1.42  tff(hskp27_type, type, (
% 1.76/1.42     hskp27: $o)).
% 1.76/1.42  tff(hskp38_type, type, (
% 1.76/1.42     hskp38: $o)).
% 1.76/1.42  tff(hskp44_type, type, (
% 1.76/1.42     hskp44: $o)).
% 1.76/1.42  tff(hskp37_type, type, (
% 1.76/1.42     hskp37: $o)).
% 1.76/1.42  tff(hskp35_type, type, (
% 1.76/1.42     hskp35: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_17_type, type, (
% 1.76/1.42     tptp_fun__i_val_17: $i)).
% 1.76/1.42  tff(a283_type, type, (
% 1.76/1.42     a283: $i)).
% 1.76/1.42  tff(hskp3_type, type, (
% 1.76/1.42     hskp3: $o)).
% 1.76/1.42  tff(hskp18_type, type, (
% 1.76/1.42     hskp18: $o)).
% 1.76/1.42  tff(hskp8_type, type, (
% 1.76/1.42     hskp8: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_24_type, type, (
% 1.76/1.42     tptp_fun__i_val_24: $i)).
% 1.76/1.42  tff(a290_type, type, (
% 1.76/1.42     a290: $i)).
% 1.76/1.42  tff(hskp30_type, type, (
% 1.76/1.42     hskp30: $o)).
% 1.76/1.42  tff(hskp39_type, type, (
% 1.76/1.42     hskp39: $o)).
% 1.76/1.42  tff(hskp32_type, type, (
% 1.76/1.42     hskp32: $o)).
% 1.76/1.42  tff(hskp16_type, type, (
% 1.76/1.42     hskp16: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_0_type, type, (
% 1.76/1.42     tptp_fun__i_val_0: $i)).
% 1.76/1.42  tff(a345_type, type, (
% 1.76/1.42     a345: $i)).
% 1.76/1.42  tff(hskp13_type, type, (
% 1.76/1.42     hskp13: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_10_type, type, (
% 1.76/1.42     tptp_fun__i_val_10: $i)).
% 1.76/1.42  tff(a287_type, type, (
% 1.76/1.42     a287: $i)).
% 1.76/1.42  tff(tptp_fun__i_val_9_type, type, (
% 1.76/1.42     tptp_fun__i_val_9: $i)).
% 1.76/1.42  tff(a288_type, type, (
% 1.76/1.42     a288: $i)).
% 1.76/1.42  tff(hskp25_type, type, (
% 1.76/1.42     hskp25: $o)).
% 1.76/1.42  tff(tptp_fun__i_val_21_type, type, (
% 1.76/1.42     tptp_fun__i_val_21: $i)).
% 1.76/1.42  tff(a318_type, type, (
% 1.76/1.42     a318: $i)).
% 1.76/1.42  tff(hskp9_type, type, (
% 1.76/1.42     hskp9: $o)).
% 1.76/1.42  tff(hskp29_type, type, (
% 1.76/1.42     hskp29: $o)).
% 1.76/1.42  tff(k!114_type, type, (
% 1.76/1.42     k!114: $i > $i)).
% 1.76/1.42  tff(c2_1_type, type, (
% 1.76/1.42     c2_1: $i > $o)).
% 1.76/1.42  tff(c3_1_type, type, (
% 1.76/1.42     c3_1: $i > $o)).
% 1.76/1.42  tff(c1_1_type, type, (
% 1.76/1.42     c1_1: $i > $o)).
% 1.76/1.42  tff(c0_1_type, type, (
% 1.76/1.42     c0_1: $i > $o)).
% 1.76/1.42  tff(formula1, axiom,
% 1.76/1.42      hskp10 <=> $false).
% 1.76/1.42  tff(formula2, axiom,
% 1.76/1.42      ndr1_0 <=> $true).
% 1.76/1.42  tff(formula3, axiom,
% 1.76/1.42      hskp40 <=> $false).
% 1.76/1.42  tff(formula4, axiom,
% 1.76/1.42      hskp22 <=> $true).
% 1.76/1.42  tff(formula5, axiom,
% 1.76/1.42      hskp50 <=> $false).
% 1.76/1.42  tff(formula6, axiom,
% 1.76/1.42      hskp14 <=> $false).
% 1.76/1.42  tff(formula7, axiom,
% 1.76/1.42      a347 = $i!val!18).
% 1.76/1.42  tff(formula8, axiom,
% 1.76/1.42      a324 = $i!val!20).
% 1.76/1.42  tff(formula9, axiom,
% 1.76/1.42      hskp21 <=> $false).
% 1.76/1.42  tff(formula10, axiom,
% 1.76/1.42      hskp0 <=> $false).
% 1.76/1.42  tff(formula11, axiom,
% 1.76/1.42      hskp49 <=> $false).
% 1.76/1.42  tff(formula12, axiom,
% 1.76/1.42      hskp26 <=> $true).
% 1.76/1.42  tff(formula13, axiom,
% 1.76/1.42      hskp24 <=> $false).
% 1.76/1.42  tff(formula14, axiom,
% 1.76/1.42      hskp6 <=> $false).
% 1.76/1.42  tff(formula15, axiom,
% 1.76/1.42      a344 = $i!val!1).
% 1.76/1.42  tff(formula16, axiom,
% 1.76/1.42      a342 = $i!val!2).
% 1.76/1.42  tff(formula17, axiom,
% 1.76/1.42      a286 = $i!val!11).
% 1.76/1.42  tff(formula18, axiom,
% 1.76/1.42      a299 = $i!val!15).
% 1.76/1.42  tff(formula19, axiom,
% 1.76/1.42      hskp48 <=> $true).
% 1.76/1.42  tff(formula20, axiom,
% 1.76/1.42      a337 = $i!val!19).
% 1.76/1.42  tff(formula21, axiom,
% 1.76/1.42      hskp45 <=> $true).
% 1.76/1.42  tff(formula22, axiom,
% 1.76/1.42      a291 = $i!val!16).
% 1.76/1.42  tff(formula23, axiom,
% 1.76/1.42      hskp2 <=> $true).
% 1.76/1.42  tff(formula24, axiom,
% 1.76/1.42      hskp34 <=> $true).
% 1.76/1.42  tff(formula25, axiom,
% 1.76/1.42      hskp5 <=> $false).
% 1.76/1.42  tff(formula26, axiom,
% 1.76/1.42      hskp36 <=> $false).
% 1.76/1.42  tff(formula27, axiom,
% 1.76/1.42      hskp43 <=> $false).
% 1.76/1.42  tff(formula28, axiom,
% 1.76/1.42      hskp4 <=> $false).
% 1.76/1.42  tff(formula29, axiom,
% 1.76/1.42      hskp15 <=> $false).
% 1.76/1.42  tff(formula30, axiom,
% 1.76/1.42      a327 = $i!val!12).
% 1.76/1.42  tff(formula31, axiom,
% 1.76/1.42      a312 = $i!val!22).
% 1.76/1.42  tff(formula32, axiom,
% 1.76/1.42      a322 = $i!val!13).
% 1.76/1.42  tff(formula33, axiom,
% 1.76/1.42      hskp7 <=> $true).
% 1.76/1.42  tff(formula34, axiom,
% 1.76/1.42      hskp51 <=> $true).
% 1.76/1.42  tff(formula35, axiom,
% 1.76/1.42      hskp33 <=> $false).
% 1.76/1.42  tff(formula36, axiom,
% 1.76/1.42      hskp1 <=> $true).
% 1.76/1.42  tff(formula37, axiom,
% 1.76/1.42      a298 = $i!val!7).
% 1.76/1.42  tff(formula38, axiom,
% 1.76/1.42      a331 = $i!val!5).
% 1.76/1.42  tff(formula39, axiom,
% 1.76/1.42      a316 = $i!val!6).
% 1.76/1.42  tff(formula40, axiom,
% 1.76/1.42      a296 = $i!val!8).
% 1.76/1.42  tff(formula41, axiom,
% 1.76/1.42      hskp17 <=> $false).
% 1.76/1.42  tff(formula42, axiom,
% 1.76/1.42      hskp20 <=> $true).
% 1.76/1.42  tff(formula43, axiom,
% 1.76/1.42      a311 = $i!val!14).
% 1.76/1.42  tff(formula44, axiom,
% 1.76/1.42      hskp47 <=> $false).
% 1.76/1.42  tff(formula45, axiom,
% 1.76/1.42      hskp28 <=> $false).
% 1.76/1.42  tff(formula46, axiom,
% 1.76/1.42      hskp23 <=> $false).
% 1.76/1.42  tff(formula47, axiom,
% 1.76/1.42      hskp42 <=> $true).
% 1.76/1.42  tff(formula48, axiom,
% 1.76/1.42      hskp52 <=> $false).
% 1.76/1.42  tff(formula49, axiom,
% 1.76/1.42      a310 = $i!val!23).
% 1.76/1.42  tff(formula50, axiom,
% 1.76/1.42      a334 = $i!val!4).
% 1.76/1.42  tff(formula51, axiom,
% 1.76/1.42      hskp41 <=> $false).
% 1.76/1.42  tff(formula52, axiom,
% 1.76/1.42      hskp31 <=> $false).
% 1.76/1.42  tff(formula53, axiom,
% 1.76/1.42      a340 = $i!val!3).
% 1.76/1.42  tff(formula54, axiom,
% 1.76/1.42      hskp12 <=> $false).
% 1.76/1.42  tff(formula55, axiom,
% 1.76/1.42      hskp11 <=> $false).
% 1.76/1.42  tff(formula56, axiom,
% 1.76/1.42      hskp19 <=> $false).
% 1.76/1.42  tff(formula57, axiom,
% 1.76/1.42      hskp46 <=> $true).
% 1.76/1.42  tff(formula58, axiom,
% 1.76/1.42      hskp27 <=> $false).
% 1.76/1.42  tff(formula59, axiom,
% 1.76/1.42      hskp38 <=> $false).
% 1.76/1.42  tff(formula60, axiom,
% 1.76/1.42      hskp44 <=> $false).
% 1.76/1.42  tff(formula61, axiom,
% 1.76/1.42      hskp37 <=> $false).
% 1.76/1.42  tff(formula62, axiom,
% 1.76/1.42      hskp35 <=> $false).
% 1.76/1.42  tff(formula63, axiom,
% 1.76/1.42      a283 = $i!val!17).
% 1.76/1.42  tff(formula64, axiom,
% 1.76/1.42      hskp3 <=> $false).
% 1.76/1.42  tff(formula65, axiom,
% 1.76/1.42      hskp18 <=> $false).
% 1.76/1.42  tff(formula66, axiom,
% 1.76/1.42      hskp8 <=> $false).
% 1.76/1.42  tff(formula67, axiom,
% 1.76/1.42      a290 = $i!val!24).
% 1.76/1.42  tff(formula68, axiom,
% 1.76/1.42      hskp30 <=> $true).
% 1.76/1.42  tff(formula69, axiom,
% 1.76/1.42      hskp39 <=> $false).
% 1.76/1.42  tff(formula70, axiom,
% 1.76/1.42      hskp32 <=> $false).
% 1.76/1.42  tff(formula71, axiom,
% 1.76/1.42      hskp16 <=> $false).
% 1.76/1.42  tff(formula72, axiom,
% 1.76/1.42      a345 = $i!val!0).
% 1.76/1.42  tff(formula73, axiom,
% 1.76/1.42      hskp13 <=> $true).
% 1.76/1.42  tff(formula74, axiom,
% 1.76/1.42      a287 = $i!val!10).
% 1.76/1.42  tff(formula75, axiom,
% 1.76/1.42      a288 = $i!val!9).
% 1.76/1.42  tff(formula76, axiom,
% 1.76/1.42      hskp25 <=> $true).
% 1.76/1.42  tff(formula77, axiom,
% 1.76/1.42      a318 = $i!val!21).
% 1.76/1.42  tff(formula78, axiom,
% 1.76/1.42      hskp9 <=> $false).
% 1.76/1.42  tff(formula79, axiom,
% 1.76/1.42      hskp29 <=> $false).
% 1.76/1.42  tff(formula80, axiom,
% 1.76/1.42      ![X0: $i] : (c2_1(X0) <=> ((k!114(X0) = $i!val!1) | (k!114(X0) = $i!val!14) | (k!114(X0) = $i!val!17) | (k!114(X0) = $i!val!15) | (k!114(X0) = $i!val!4) | (k!114(X0) = $i!val!6) | (k!114(X0) = $i!val!8) | (k!114(X0) = $i!val!10) | (k!114(X0) = $i!val!3) | (k!114(X0) = $i!val!5)))).
% 1.76/1.42  tff(formula81, axiom,
% 1.76/1.42      ![X0: $i] : (c3_1(X0) <=> ((k!114(X0) = $i!val!12) | (k!114(X0) = $i!val!1) | (k!114(X0) = $i!val!14) | (k!114(X0) = $i!val!10)))).
% 1.76/1.42  tff(formula82, axiom,
% 1.76/1.42      ![X0: $i] : (c1_1(X0) <=> ((k!114(X0) = $i!val!3) | (k!114(X0) = $i!val!5) | (k!114(X0) = $i!val!8)))).
% 1.76/1.42  tff(formula83, axiom,
% 1.76/1.42      ![X0: $i] : (c0_1(X0) <=> ((k!114(X0) = $i!val!1) | (k!114(X0) = $i!val!14) | (k!114(X0) = $i!val!15) | (k!114(X0) = $i!val!6) | (k!114(X0) = $i!val!10)))).
% 1.76/1.42  tff(formula84, axiom,
% 1.76/1.42      k!114($i!val!9) = $i!val!9).
% 1.76/1.42  tff(formula85, axiom,
% 1.76/1.42      k!114($i!val!2) = $i!val!2).
% 1.76/1.42  tff(formula86, axiom,
% 1.76/1.42      k!114($i!val!16) = $i!val!16).
% 1.76/1.42  tff(formula87, axiom,
% 1.76/1.42      k!114($i!val!14) = $i!val!14).
% 1.76/1.42  tff(formula88, axiom,
% 1.76/1.42      k!114($i!val!12) = $i!val!12).
% 1.76/1.42  tff(formula89, axiom,
% 1.76/1.42      k!114($i!val!17) = $i!val!17).
% 1.76/1.42  tff(formula90, axiom,
% 1.76/1.42      k!114($i!val!18) = $i!val!18).
% 1.76/1.42  tff(formula91, axiom,
% 1.76/1.42      k!114($i!val!22) = $i!val!22).
% 1.76/1.42  tff(formula92, axiom,
% 1.76/1.42      k!114($i!val!13) = $i!val!13).
% 1.76/1.42  tff(formula93, axiom,
% 1.76/1.42      k!114($i!val!20) = $i!val!20).
% 1.76/1.42  tff(formula94, axiom,
% 1.76/1.42      k!114($i!val!24) = $i!val!24).
% 1.76/1.42  tff(formula95, axiom,
% 1.76/1.42      k!114($i!val!23) = $i!val!23).
% 1.76/1.42  tff(formula96, axiom,
% 1.76/1.42      k!114($i!val!0) = $i!val!0).
% 1.76/1.42  tff(formula97, axiom,
% 1.76/1.42      k!114($i!val!4) = $i!val!4).
% 1.76/1.42  tff(formula98, axiom,
% 1.76/1.42      k!114($i!val!15) = $i!val!15).
% 1.76/1.42  tff(formula99, axiom,
% 1.76/1.42      k!114($i!val!1) = $i!val!1).
% 1.76/1.42  tff(formula100, axiom,
% 1.76/1.42      k!114($i!val!10) = $i!val!10).
% 1.76/1.42  tff(formula101, axiom,
% 1.76/1.42      k!114($i!val!6) = $i!val!6).
% 1.76/1.42  tff(formula102, axiom,
% 1.76/1.42      k!114($i!val!7) = $i!val!7).
% 1.76/1.42  tff(formula103, axiom,
% 1.76/1.42      k!114($i!val!11) = $i!val!11).
% 1.76/1.42  tff(formula104, axiom,
% 1.76/1.42      k!114($i!val!19) = $i!val!19).
% 1.76/1.42  tff(formula105, axiom,
% 1.76/1.42      k!114($i!val!21) = $i!val!21).
% 1.76/1.42  tff(formula106, axiom,
% 1.76/1.42      k!114($i!val!8) = $i!val!8).
% 1.76/1.42  tff(formula107, axiom,
% 1.76/1.42      k!114($i!val!5) = $i!val!5).
% 1.76/1.42  tff(formula108, axiom,
% 1.76/1.42      ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!2 = X0)) | (($i!val!16 = X0)) | (($i!val!14 = X0)) | (($i!val!12 = X0)) | (($i!val!17 = X0)) | (($i!val!18 = X0)) | (($i!val!22 = X0)) | (($i!val!13 = X0)) | (($i!val!20 = X0)) | (($i!val!24 = X0)) | (($i!val!23 = X0)) | (($i!val!0 = X0)) | (($i!val!4 = X0)) | (($i!val!15 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!11 = X0)) | (($i!val!19 = X0)) | (($i!val!21 = X0)) | (($i!val!8 = X0)) | (($i!val!5 = X0)))) => (k!114(X0) = $i!val!3))).
% 1.76/1.42  % SZS output end Model
%------------------------------------------------------------------------------