TSTP Solution File: SYN542-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN542-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n011.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 23:56:19 EDT 2022

% Result   : Satisfiable 12.29s 8.07s
% Output   : Model 12.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN542-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 05:24:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 12.29/8.07  % SZS status Satisfiable
% 12.29/8.07  % SZS output start Model
% 12.29/8.07  tff(hskp10_type, type, (
% 12.29/8.07     hskp10: $o)).
% 12.29/8.07  tff(ndr1_0_type, type, (
% 12.29/8.07     ndr1_0: $o)).
% 12.29/8.07  tff(hskp40_type, type, (
% 12.29/8.07     hskp40: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_20_type, type, (
% 12.29/8.07     tptp_fun__i_val_20: $i)).
% 12.29/8.07  tff(a19_type, type, (
% 12.29/8.07     a19: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_10_type, type, (
% 12.29/8.07     tptp_fun__i_val_10: $i)).
% 12.29/8.07  tff(a67_type, type, (
% 12.29/8.07     a67: $i)).
% 12.29/8.07  tff(hskp22_type, type, (
% 12.29/8.07     hskp22: $o)).
% 12.29/8.07  tff(hskp50_type, type, (
% 12.29/8.07     hskp50: $o)).
% 12.29/8.07  tff(hskp57_type, type, (
% 12.29/8.07     hskp57: $o)).
% 12.29/8.07  tff(hskp14_type, type, (
% 12.29/8.07     hskp14: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_25_type, type, (
% 12.29/8.07     tptp_fun__i_val_25: $i)).
% 12.29/8.07  tff(a68_type, type, (
% 12.29/8.07     a68: $i)).
% 12.29/8.07  tff(hskp21_type, type, (
% 12.29/8.07     hskp21: $o)).
% 12.29/8.07  tff(hskp0_type, type, (
% 12.29/8.07     hskp0: $o)).
% 12.29/8.07  tff(hskp49_type, type, (
% 12.29/8.07     hskp49: $o)).
% 12.29/8.07  tff(hskp26_type, type, (
% 12.29/8.07     hskp26: $o)).
% 12.29/8.07  tff(hskp24_type, type, (
% 12.29/8.07     hskp24: $o)).
% 12.29/8.07  tff(hskp6_type, type, (
% 12.29/8.07     hskp6: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_15_type, type, (
% 12.29/8.07     tptp_fun__i_val_15: $i)).
% 12.29/8.07  tff(a32_type, type, (
% 12.29/8.07     a32: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_33_type, type, (
% 12.29/8.07     tptp_fun__i_val_33: $i)).
% 12.29/8.07  tff(a10_type, type, (
% 12.29/8.07     a10: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_9_type, type, (
% 12.29/8.07     tptp_fun__i_val_9: $i)).
% 12.29/8.07  tff(a73_type, type, (
% 12.29/8.07     a73: $i)).
% 12.29/8.07  tff(hskp48_type, type, (
% 12.29/8.07     hskp48: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_23_type, type, (
% 12.29/8.07     tptp_fun__i_val_23: $i)).
% 12.29/8.07  tff(a8_type, type, (
% 12.29/8.07     a8: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_3_type, type, (
% 12.29/8.07     tptp_fun__i_val_3: $i)).
% 12.29/8.07  tff(a42_type, type, (
% 12.29/8.07     a42: $i)).
% 12.29/8.07  tff(hskp45_type, type, (
% 12.29/8.07     hskp45: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_5_type, type, (
% 12.29/8.07     tptp_fun__i_val_5: $i)).
% 12.29/8.07  tff(a4_type, type, (
% 12.29/8.07     a4: $i)).
% 12.29/8.07  tff(hskp54_type, type, (
% 12.29/8.07     hskp54: $o)).
% 12.29/8.07  tff(hskp34_type, type, (
% 12.29/8.07     hskp34: $o)).
% 12.29/8.07  tff(hskp5_type, type, (
% 12.29/8.07     hskp5: $o)).
% 12.29/8.07  tff(hskp2_type, type, (
% 12.29/8.07     hskp2: $o)).
% 12.29/8.07  tff(hskp36_type, type, (
% 12.29/8.07     hskp36: $o)).
% 12.29/8.07  tff(hskp43_type, type, (
% 12.29/8.07     hskp43: $o)).
% 12.29/8.07  tff(hskp4_type, type, (
% 12.29/8.07     hskp4: $o)).
% 12.29/8.07  tff(hskp15_type, type, (
% 12.29/8.07     hskp15: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_2_type, type, (
% 12.29/8.07     tptp_fun__i_val_2: $i)).
% 12.29/8.07  tff(a44_type, type, (
% 12.29/8.07     a44: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_21_type, type, (
% 12.29/8.07     tptp_fun__i_val_21: $i)).
% 12.29/8.07  tff(a14_type, type, (
% 12.29/8.07     a14: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_29_type, type, (
% 12.29/8.07     tptp_fun__i_val_29: $i)).
% 12.29/8.07  tff(a37_type, type, (
% 12.29/8.07     a37: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_30_type, type, (
% 12.29/8.07     tptp_fun__i_val_30: $i)).
% 12.29/8.07  tff(a27_type, type, (
% 12.29/8.07     a27: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_34_type, type, (
% 12.29/8.07     tptp_fun__i_val_34: $i)).
% 12.29/8.07  tff(a3_type, type, (
% 12.29/8.07     a3: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_8_type, type, (
% 12.29/8.07     tptp_fun__i_val_8: $i)).
% 12.29/8.07  tff(a75_type, type, (
% 12.29/8.07     a75: $i)).
% 12.29/8.07  tff(hskp7_type, type, (
% 12.29/8.07     hskp7: $o)).
% 12.29/8.07  tff(hskp53_type, type, (
% 12.29/8.07     hskp53: $o)).
% 12.29/8.07  tff(hskp51_type, type, (
% 12.29/8.07     hskp51: $o)).
% 12.29/8.07  tff(hskp33_type, type, (
% 12.29/8.07     hskp33: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_31_type, type, (
% 12.29/8.07     tptp_fun__i_val_31: $i)).
% 12.29/8.07  tff(a22_type, type, (
% 12.29/8.07     a22: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_26_type, type, (
% 12.29/8.07     tptp_fun__i_val_26: $i)).
% 12.29/8.07  tff(a59_type, type, (
% 12.29/8.07     a59: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_27_type, type, (
% 12.29/8.07     tptp_fun__i_val_27: $i)).
% 12.29/8.07  tff(a50_type, type, (
% 12.29/8.07     a50: $i)).
% 12.29/8.07  tff(hskp1_type, type, (
% 12.29/8.07     hskp1: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_4_type, type, (
% 12.29/8.07     tptp_fun__i_val_4: $i)).
% 12.29/8.07  tff(a40_type, type, (
% 12.29/8.07     a40: $i)).
% 12.29/8.07  tff(hskp17_type, type, (
% 12.29/8.07     hskp17: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_0_type, type, (
% 12.29/8.07     tptp_fun__i_val_0: $i)).
% 12.29/8.07  tff(a60_type, type, (
% 12.29/8.07     a60: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_13_type, type, (
% 12.29/8.07     tptp_fun__i_val_13: $i)).
% 12.29/8.07  tff(a49_type, type, (
% 12.29/8.07     a49: $i)).
% 12.29/8.07  tff(hskp58_type, type, (
% 12.29/8.07     hskp58: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_6_type, type, (
% 12.29/8.07     tptp_fun__i_val_6: $i)).
% 12.29/8.07  tff(a2_type, type, (
% 12.29/8.07     a2: $i)).
% 12.29/8.07  tff(hskp55_type, type, (
% 12.29/8.07     hskp55: $o)).
% 12.29/8.07  tff(hskp20_type, type, (
% 12.29/8.07     hskp20: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_1_type, type, (
% 12.29/8.07     tptp_fun__i_val_1: $i)).
% 12.29/8.07  tff(a56_type, type, (
% 12.29/8.07     a56: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_7_type, type, (
% 12.29/8.07     tptp_fun__i_val_7: $i)).
% 12.29/8.07  tff(a76_type, type, (
% 12.29/8.07     a76: $i)).
% 12.29/8.07  tff(hskp47_type, type, (
% 12.29/8.07     hskp47: $o)).
% 12.29/8.07  tff(hskp28_type, type, (
% 12.29/8.07     hskp28: $o)).
% 12.29/8.07  tff(hskp56_type, type, (
% 12.29/8.07     hskp56: $o)).
% 12.29/8.07  tff(hskp23_type, type, (
% 12.29/8.07     hskp23: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_11_type, type, (
% 12.29/8.07     tptp_fun__i_val_11: $i)).
% 12.29/8.07  tff(a66_type, type, (
% 12.29/8.07     a66: $i)).
% 12.29/8.07  tff(hskp42_type, type, (
% 12.29/8.07     hskp42: $o)).
% 12.29/8.07  tff(hskp52_type, type, (
% 12.29/8.07     hskp52: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_18_type, type, (
% 12.29/8.07     tptp_fun__i_val_18: $i)).
% 12.29/8.07  tff(a21_type, type, (
% 12.29/8.07     a21: $i)).
% 12.29/8.07  tff(hskp41_type, type, (
% 12.29/8.07     hskp41: $o)).
% 12.29/8.07  tff(hskp31_type, type, (
% 12.29/8.07     hskp31: $o)).
% 12.29/8.07  tff(hskp12_type, type, (
% 12.29/8.07     hskp12: $o)).
% 12.29/8.07  tff(hskp11_type, type, (
% 12.29/8.07     hskp11: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_28_type, type, (
% 12.29/8.07     tptp_fun__i_val_28: $i)).
% 12.29/8.07  tff(a41_type, type, (
% 12.29/8.07     a41: $i)).
% 12.29/8.07  tff(hskp19_type, type, (
% 12.29/8.07     hskp19: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_17_type, type, (
% 12.29/8.07     tptp_fun__i_val_17: $i)).
% 12.29/8.07  tff(a23_type, type, (
% 12.29/8.07     a23: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_12_type, type, (
% 12.29/8.07     tptp_fun__i_val_12: $i)).
% 12.29/8.07  tff(a62_type, type, (
% 12.29/8.07     a62: $i)).
% 12.29/8.07  tff(hskp46_type, type, (
% 12.29/8.07     hskp46: $o)).
% 12.29/8.07  tff(hskp27_type, type, (
% 12.29/8.07     hskp27: $o)).
% 12.29/8.07  tff(hskp38_type, type, (
% 12.29/8.07     hskp38: $o)).
% 12.29/8.07  tff(hskp44_type, type, (
% 12.29/8.07     hskp44: $o)).
% 12.29/8.07  tff(hskp37_type, type, (
% 12.29/8.07     hskp37: $o)).
% 12.29/8.07  tff(hskp35_type, type, (
% 12.29/8.07     hskp35: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_14_type, type, (
% 12.29/8.07     tptp_fun__i_val_14: $i)).
% 12.29/8.07  tff(a46_type, type, (
% 12.29/8.07     a46: $i)).
% 12.29/8.07  tff(tptp_fun__i_val_32_type, type, (
% 12.29/8.07     tptp_fun__i_val_32: $i)).
% 12.29/8.07  tff(a17_type, type, (
% 12.29/8.07     a17: $i)).
% 12.29/8.07  tff(hskp3_type, type, (
% 12.29/8.07     hskp3: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_24_type, type, (
% 12.29/8.07     tptp_fun__i_val_24: $i)).
% 12.29/8.07  tff(a6_type, type, (
% 12.29/8.07     a6: $i)).
% 12.29/8.07  tff(hskp18_type, type, (
% 12.29/8.07     hskp18: $o)).
% 12.29/8.07  tff(hskp8_type, type, (
% 12.29/8.07     hskp8: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_16_type, type, (
% 12.29/8.07     tptp_fun__i_val_16: $i)).
% 12.29/8.07  tff(a25_type, type, (
% 12.29/8.07     a25: $i)).
% 12.29/8.07  tff(hskp30_type, type, (
% 12.29/8.07     hskp30: $o)).
% 12.29/8.07  tff(hskp39_type, type, (
% 12.29/8.07     hskp39: $o)).
% 12.29/8.07  tff(hskp32_type, type, (
% 12.29/8.07     hskp32: $o)).
% 12.29/8.07  tff(hskp16_type, type, (
% 12.29/8.07     hskp16: $o)).
% 12.29/8.07  tff(hskp13_type, type, (
% 12.29/8.07     hskp13: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_22_type, type, (
% 12.29/8.07     tptp_fun__i_val_22: $i)).
% 12.29/8.07  tff(a11_type, type, (
% 12.29/8.07     a11: $i)).
% 12.29/8.07  tff(hskp25_type, type, (
% 12.29/8.07     hskp25: $o)).
% 12.29/8.07  tff(hskp9_type, type, (
% 12.29/8.07     hskp9: $o)).
% 12.29/8.07  tff(hskp29_type, type, (
% 12.29/8.07     hskp29: $o)).
% 12.29/8.07  tff(tptp_fun__i_val_19_type, type, (
% 12.29/8.07     tptp_fun__i_val_19: $i)).
% 12.29/8.07  tff(a20_type, type, (
% 12.29/8.07     a20: $i)).
% 12.29/8.07  tff(k!736_type, type, (
% 12.29/8.07     k!736: $i > $i)).
% 12.29/8.07  tff(c0_1_type, type, (
% 12.29/8.07     c0_1: $i > $o)).
% 12.29/8.07  tff(c4_1_type, type, (
% 12.29/8.07     c4_1: $i > $o)).
% 12.29/8.07  tff(c5_1_type, type, (
% 12.29/8.07     c5_1: $i > $o)).
% 12.29/8.07  tff(c1_1_type, type, (
% 12.29/8.07     c1_1: $i > $o)).
% 12.29/8.07  tff(c2_1_type, type, (
% 12.29/8.07     c2_1: $i > $o)).
% 12.29/8.07  tff(c3_1_type, type, (
% 12.29/8.07     c3_1: $i > $o)).
% 12.29/8.07  tff(formula1, axiom,
% 12.29/8.07      hskp10 <=> $false).
% 12.29/8.07  tff(formula2, axiom,
% 12.29/8.07      ndr1_0 <=> $true).
% 12.29/8.07  tff(formula3, axiom,
% 12.29/8.07      hskp40 <=> $false).
% 12.29/8.07  tff(formula4, axiom,
% 12.29/8.07      a19 = $i!val!20).
% 12.29/8.07  tff(formula5, axiom,
% 12.29/8.07      a67 = $i!val!10).
% 12.29/8.07  tff(formula6, axiom,
% 12.29/8.07      hskp22 <=> $false).
% 12.29/8.07  tff(formula7, axiom,
% 12.29/8.07      hskp50 <=> $true).
% 12.29/8.07  tff(formula8, axiom,
% 12.29/8.07      hskp57 <=> $false).
% 12.29/8.07  tff(formula9, axiom,
% 12.29/8.07      hskp14 <=> $false).
% 12.29/8.07  tff(formula10, axiom,
% 12.29/8.07      a68 = $i!val!25).
% 12.29/8.07  tff(formula11, axiom,
% 12.29/8.07      hskp21 <=> $false).
% 12.29/8.07  tff(formula12, axiom,
% 12.29/8.07      hskp0 <=> $false).
% 12.29/8.07  tff(formula13, axiom,
% 12.29/8.07      hskp49 <=> $false).
% 12.29/8.07  tff(formula14, axiom,
% 12.29/8.07      hskp26 <=> $false).
% 12.29/8.07  tff(formula15, axiom,
% 12.29/8.07      hskp24 <=> $false).
% 12.29/8.07  tff(formula16, axiom,
% 12.29/8.07      hskp6 <=> $false).
% 12.29/8.07  tff(formula17, axiom,
% 12.29/8.07      a32 = $i!val!15).
% 12.29/8.07  tff(formula18, axiom,
% 12.29/8.07      a10 = $i!val!33).
% 12.29/8.07  tff(formula19, axiom,
% 12.29/8.07      a73 = $i!val!9).
% 12.29/8.07  tff(formula20, axiom,
% 12.29/8.07      hskp48 <=> $false).
% 12.29/8.07  tff(formula21, axiom,
% 12.29/8.07      a8 = $i!val!23).
% 12.29/8.07  tff(formula22, axiom,
% 12.29/8.07      a42 = $i!val!3).
% 12.29/8.07  tff(formula23, axiom,
% 12.29/8.07      hskp45 <=> $false).
% 12.29/8.07  tff(formula24, axiom,
% 12.29/8.07      a4 = $i!val!5).
% 12.29/8.07  tff(formula25, axiom,
% 12.29/8.07      hskp54 <=> $false).
% 12.29/8.07  tff(formula26, axiom,
% 12.29/8.07      hskp34 <=> $true).
% 12.29/8.07  tff(formula27, axiom,
% 12.29/8.07      hskp5 <=> $true).
% 12.29/8.07  tff(formula28, axiom,
% 12.29/8.07      hskp2 <=> $false).
% 12.29/8.07  tff(formula29, axiom,
% 12.29/8.07      hskp36 <=> $false).
% 12.29/8.07  tff(formula30, axiom,
% 12.29/8.07      hskp43 <=> $false).
% 12.29/8.07  tff(formula31, axiom,
% 12.29/8.07      hskp4 <=> $false).
% 12.29/8.07  tff(formula32, axiom,
% 12.29/8.07      hskp15 <=> $false).
% 12.29/8.07  tff(formula33, axiom,
% 12.29/8.07      a44 = $i!val!2).
% 12.29/8.07  tff(formula34, axiom,
% 12.29/8.07      a14 = $i!val!21).
% 12.29/8.07  tff(formula35, axiom,
% 12.29/8.07      a37 = $i!val!29).
% 12.29/8.07  tff(formula36, axiom,
% 12.29/8.07      a27 = $i!val!30).
% 12.29/8.07  tff(formula37, axiom,
% 12.29/8.07      a3 = $i!val!34).
% 12.29/8.07  tff(formula38, axiom,
% 12.29/8.07      a75 = $i!val!8).
% 12.29/8.07  tff(formula39, axiom,
% 12.29/8.07      hskp7 <=> $true).
% 12.29/8.07  tff(formula40, axiom,
% 12.29/8.07      hskp53 <=> $true).
% 12.29/8.07  tff(formula41, axiom,
% 12.29/8.07      hskp51 <=> $false).
% 12.29/8.07  tff(formula42, axiom,
% 12.29/8.07      hskp33 <=> $false).
% 12.29/8.07  tff(formula43, axiom,
% 12.29/8.07      a22 = $i!val!31).
% 12.29/8.07  tff(formula44, axiom,
% 12.29/8.07      a59 = $i!val!26).
% 12.29/8.07  tff(formula45, axiom,
% 12.29/8.07      a50 = $i!val!27).
% 12.29/8.07  tff(formula46, axiom,
% 12.29/8.07      hskp1 <=> $false).
% 12.29/8.07  tff(formula47, axiom,
% 12.29/8.07      a40 = $i!val!4).
% 12.29/8.07  tff(formula48, axiom,
% 12.29/8.07      hskp17 <=> $false).
% 12.29/8.07  tff(formula49, axiom,
% 12.29/8.07      a60 = $i!val!0).
% 12.29/8.07  tff(formula50, axiom,
% 12.29/8.07      a49 = $i!val!13).
% 12.29/8.07  tff(formula51, axiom,
% 12.29/8.07      hskp58 <=> $false).
% 12.29/8.07  tff(formula52, axiom,
% 12.29/8.07      a2 = $i!val!6).
% 12.29/8.07  tff(formula53, axiom,
% 12.29/8.07      hskp55 <=> $false).
% 12.29/8.07  tff(formula54, axiom,
% 12.29/8.07      hskp20 <=> $false).
% 12.29/8.07  tff(formula55, axiom,
% 12.29/8.07      a56 = $i!val!1).
% 12.29/8.07  tff(formula56, axiom,
% 12.29/8.07      a76 = $i!val!7).
% 12.29/8.07  tff(formula57, axiom,
% 12.29/8.07      hskp47 <=> $false).
% 12.29/8.07  tff(formula58, axiom,
% 12.29/8.07      hskp28 <=> $false).
% 12.29/8.07  tff(formula59, axiom,
% 12.29/8.07      hskp56 <=> $false).
% 12.29/8.07  tff(formula60, axiom,
% 12.29/8.07      hskp23 <=> $false).
% 12.29/8.07  tff(formula61, axiom,
% 12.29/8.07      a66 = $i!val!11).
% 12.29/8.07  tff(formula62, axiom,
% 12.29/8.07      hskp42 <=> $false).
% 12.29/8.07  tff(formula63, axiom,
% 12.29/8.07      hskp52 <=> $true).
% 12.29/8.07  tff(formula64, axiom,
% 12.29/8.07      a21 = $i!val!18).
% 12.29/8.07  tff(formula65, axiom,
% 12.29/8.07      hskp41 <=> $true).
% 12.29/8.07  tff(formula66, axiom,
% 12.29/8.07      hskp31 <=> $true).
% 12.29/8.07  tff(formula67, axiom,
% 12.29/8.07      hskp12 <=> $true).
% 12.29/8.07  tff(formula68, axiom,
% 12.29/8.07      hskp11 <=> $false).
% 12.29/8.07  tff(formula69, axiom,
% 12.29/8.07      a41 = $i!val!28).
% 12.29/8.07  tff(formula70, axiom,
% 12.29/8.07      hskp19 <=> $true).
% 12.29/8.07  tff(formula71, axiom,
% 12.29/8.07      a23 = $i!val!17).
% 12.29/8.07  tff(formula72, axiom,
% 12.29/8.07      a62 = $i!val!12).
% 12.29/8.07  tff(formula73, axiom,
% 12.29/8.07      hskp46 <=> $true).
% 12.29/8.07  tff(formula74, axiom,
% 12.29/8.07      hskp27 <=> $false).
% 12.29/8.07  tff(formula75, axiom,
% 12.29/8.07      hskp38 <=> $false).
% 12.29/8.07  tff(formula76, axiom,
% 12.29/8.07      hskp44 <=> $true).
% 12.29/8.07  tff(formula77, axiom,
% 12.29/8.07      hskp37 <=> $false).
% 12.29/8.07  tff(formula78, axiom,
% 12.29/8.07      hskp35 <=> $false).
% 12.29/8.07  tff(formula79, axiom,
% 12.29/8.07      a46 = $i!val!14).
% 12.29/8.07  tff(formula80, axiom,
% 12.29/8.07      a17 = $i!val!32).
% 12.29/8.07  tff(formula81, axiom,
% 12.29/8.07      hskp3 <=> $true).
% 12.29/8.07  tff(formula82, axiom,
% 12.29/8.07      a6 = $i!val!24).
% 12.29/8.07  tff(formula83, axiom,
% 12.29/8.07      hskp18 <=> $false).
% 12.29/8.07  tff(formula84, axiom,
% 12.29/8.07      hskp8 <=> $true).
% 12.29/8.07  tff(formula85, axiom,
% 12.29/8.07      a25 = $i!val!16).
% 12.29/8.07  tff(formula86, axiom,
% 12.29/8.07      hskp30 <=> $false).
% 12.29/8.07  tff(formula87, axiom,
% 12.29/8.07      hskp39 <=> $false).
% 12.29/8.07  tff(formula88, axiom,
% 12.29/8.07      hskp32 <=> $true).
% 12.29/8.07  tff(formula89, axiom,
% 12.29/8.07      hskp16 <=> $true).
% 12.29/8.07  tff(formula90, axiom,
% 12.29/8.07      hskp13 <=> $false).
% 12.29/8.07  tff(formula91, axiom,
% 12.29/8.07      a11 = $i!val!22).
% 12.29/8.07  tff(formula92, axiom,
% 12.29/8.07      hskp25 <=> $false).
% 12.29/8.07  tff(formula93, axiom,
% 12.29/8.07      hskp9 <=> $false).
% 12.29/8.07  tff(formula94, axiom,
% 12.29/8.07      hskp29 <=> $false).
% 12.29/8.07  tff(formula95, axiom,
% 12.29/8.07      a20 = $i!val!19).
% 12.29/8.07  tff(formula96, axiom,
% 12.29/8.07      ![X0: $i] : (c0_1(X0) <=> ((k!736(X0) = $i!val!29) | (k!736(X0) = $i!val!24) | (k!736(X0) = $i!val!2) | (k!736(X0) = $i!val!28) | (k!736(X0) = $i!val!8)))).
% 12.29/8.07  tff(formula97, axiom,
% 12.29/8.07      ![X0: $i] : (c4_1(X0) <=> ((k!736(X0) = $i!val!29) | (k!736(X0) = $i!val!23) | (k!736(X0) = $i!val!14) | (k!736(X0) = $i!val!24) | (k!736(X0) = $i!val!2) | (k!736(X0) = $i!val!28) | (k!736(X0) = $i!val!8) | (k!736(X0) = $i!val!5)))).
% 12.29/8.07  tff(formula98, axiom,
% 12.29/8.07      ![X0: $i] : (c5_1(X0) <=> ((k!736(X0) = $i!val!12) | (k!736(X0) = $i!val!3) | (k!736(X0) = $i!val!5)))).
% 12.29/8.07  tff(formula99, axiom,
% 12.29/8.07      k!736($i!val!7) = $i!val!7).
% 12.29/8.07  tff(formula100, axiom,
% 12.29/8.07      k!736($i!val!6) = $i!val!6).
% 12.29/8.07  tff(formula101, axiom,
% 12.29/8.07      k!736($i!val!1) = $i!val!1).
% 12.29/8.07  tff(formula102, axiom,
% 12.29/8.07      k!736($i!val!20) = $i!val!20).
% 12.29/8.07  tff(formula103, axiom,
% 12.29/8.07      k!736($i!val!10) = $i!val!10).
% 12.29/8.07  tff(formula104, axiom,
% 12.29/8.07      k!736($i!val!25) = $i!val!25).
% 12.29/8.07  tff(formula105, axiom,
% 12.29/8.07      k!736($i!val!11) = $i!val!11).
% 12.29/8.07  tff(formula106, axiom,
% 12.29/8.07      k!736($i!val!15) = $i!val!15).
% 12.29/8.07  tff(formula107, axiom,
% 12.29/8.07      k!736($i!val!18) = $i!val!18).
% 12.29/8.07  tff(formula108, axiom,
% 12.29/8.07      k!736($i!val!33) = $i!val!33).
% 12.29/8.07  tff(formula109, axiom,
% 12.29/8.07      k!736($i!val!9) = $i!val!9).
% 12.29/8.07  tff(formula110, axiom,
% 12.29/8.07      k!736($i!val!32) = $i!val!32).
% 12.29/8.07  tff(formula111, axiom,
% 12.29/8.07      k!736($i!val!28) = $i!val!28).
% 12.29/8.07  tff(formula112, axiom,
% 12.29/8.07      k!736($i!val!3) = $i!val!3).
% 12.29/8.07  tff(formula113, axiom,
% 12.29/8.07      k!736($i!val!34) = $i!val!34).
% 12.29/8.07  tff(formula114, axiom,
% 12.29/8.07      k!736($i!val!17) = $i!val!17).
% 12.29/8.07  tff(formula115, axiom,
% 12.29/8.07      k!736($i!val!12) = $i!val!12).
% 12.29/8.07  tff(formula116, axiom,
% 12.29/8.07      k!736($i!val!5) = $i!val!5).
% 12.29/8.07  tff(formula117, axiom,
% 12.29/8.07      k!736($i!val!23) = $i!val!23).
% 12.29/8.08  tff(formula118, axiom,
% 12.29/8.08      k!736($i!val!14) = $i!val!14).
% 12.29/8.08  tff(formula119, axiom,
% 12.29/8.08      k!736($i!val!29) = $i!val!29).
% 12.29/8.08  tff(formula120, axiom,
% 12.29/8.08      k!736($i!val!2) = $i!val!2).
% 12.29/8.08  tff(formula121, axiom,
% 12.29/8.08      k!736($i!val!24) = $i!val!24).
% 12.29/8.08  tff(formula122, axiom,
% 12.29/8.08      k!736($i!val!21) = $i!val!21).
% 12.29/8.08  tff(formula123, axiom,
% 12.29/8.08      k!736($i!val!30) = $i!val!30).
% 12.29/8.08  tff(formula124, axiom,
% 12.29/8.08      k!736($i!val!8) = $i!val!8).
% 12.29/8.08  tff(formula125, axiom,
% 12.29/8.08      k!736($i!val!16) = $i!val!16).
% 12.29/8.08  tff(formula126, axiom,
% 12.29/8.08      k!736($i!val!31) = $i!val!31).
% 12.29/8.08  tff(formula127, axiom,
% 12.29/8.08      k!736($i!val!26) = $i!val!26).
% 12.29/8.08  tff(formula128, axiom,
% 12.29/8.08      k!736($i!val!27) = $i!val!27).
% 12.29/8.08  tff(formula129, axiom,
% 12.29/8.08      k!736($i!val!4) = $i!val!4).
% 12.29/8.08  tff(formula130, axiom,
% 12.29/8.08      k!736($i!val!22) = $i!val!22).
% 12.29/8.08  tff(formula131, axiom,
% 12.29/8.08      k!736($i!val!0) = $i!val!0).
% 12.29/8.08  tff(formula132, axiom,
% 12.29/8.08      k!736($i!val!19) = $i!val!19).
% 12.29/8.08  tff(formula133, axiom,
% 12.29/8.08      ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!6 = X0)) | (($i!val!1 = X0)) | (($i!val!20 = X0)) | (($i!val!10 = X0)) | (($i!val!25 = X0)) | (($i!val!11 = X0)) | (($i!val!15 = X0)) | (($i!val!18 = X0)) | (($i!val!33 = X0)) | (($i!val!9 = X0)) | (($i!val!32 = X0)) | (($i!val!28 = X0)) | (($i!val!3 = X0)) | (($i!val!34 = X0)) | (($i!val!17 = X0)) | (($i!val!12 = X0)) | (($i!val!5 = X0)) | (($i!val!23 = X0)) | (($i!val!14 = X0)) | (($i!val!29 = X0)) | (($i!val!2 = X0)) | (($i!val!24 = X0)) | (($i!val!21 = X0)) | (($i!val!30 = X0)) | (($i!val!8 = X0)) | (($i!val!16 = X0)) | (($i!val!31 = X0)) | (($i!val!26 = X0)) | (($i!val!27 = X0)) | (($i!val!4 = X0)) | (($i!val!22 = X0)) | (($i!val!0 = X0)) | (($i!val!19 = X0)))) => (k!736(X0) = $i!val!13))).
% 12.29/8.08  tff(formula134, axiom,
% 12.29/8.08      ![X0: $i] : (c1_1(X0) <=> ((k!736(X0) = $i!val!27) | (k!736(X0) = $i!val!15) | (k!736(X0) = $i!val!25) | (k!736(X0) = $i!val!10) | (k!736(X0) = $i!val!20) | (k!736(X0) = $i!val!1) | (k!736(X0) = $i!val!34) | (k!736(X0) = $i!val!22) | (k!736(X0) = $i!val!31) | (k!736(X0) = $i!val!33) | (k!736(X0) = $i!val!26) | (k!736(X0) = $i!val!7) | (k!736(X0) = $i!val!18) | (k!736(X0) = $i!val!13) | (k!736(X0) = $i!val!17) | (k!736(X0) = $i!val!23) | (k!736(X0) = $i!val!14) | (k!736(X0) = $i!val!12) | (k!736(X0) = $i!val!3) | (k!736(X0) = $i!val!5)))).
% 12.29/8.08  tff(formula135, axiom,
% 12.29/8.08      ![X0: $i] : (c2_1(X0) <=> ((k!736(X0) = $i!val!9) | (k!736(X0) = $i!val!16) | (k!736(X0) = $i!val!12) | (k!736(X0) = $i!val!3) | (k!736(X0) = $i!val!5)))).
% 12.29/8.08  tff(formula136, axiom,
% 12.29/8.08      ![X0: $i] : (c3_1(X0) <=> ((k!736(X0) = $i!val!21) | (k!736(X0) = $i!val!0) | (k!736(X0) = $i!val!32) | (k!736(X0) = $i!val!19) | (k!736(X0) = $i!val!4) | (k!736(X0) = $i!val!6) | (k!736(X0) = $i!val!11) | (k!736(X0) = $i!val!30) | (k!736(X0) = $i!val!9) | (k!736(X0) = $i!val!16) | (k!736(X0) = $i!val!22) | (k!736(X0) = $i!val!14) | (k!736(X0) = $i!val!24) | (k!736(X0) = $i!val!2)))).
% 12.29/8.08  % SZS output end Model
%------------------------------------------------------------------------------