↑ Up

Z3---4.15.1.CSA-Mod.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN437+1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat Jun 21 05:39:06 AM UTC 2025

% Result   : CounterSatisfiable 0.19s 0.52s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN437+1 : TPTP v9.0.0. Released v2.1.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 20 12:35:23 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.19/0.52  % SZS status CounterSatisfiable
% 0.19/0.52  % SZS output start Model
% 0.19/0.52  tff(hskp14_type, type, (
% 0.19/0.52     hskp14: $o)).
% 0.19/0.52  tff(hskp50_type, type, (
% 0.19/0.52     hskp50: $o)).
% 0.19/0.52  tff(hskp9_type, type, (
% 0.19/0.52     hskp9: $o)).
% 0.19/0.52  tff(hskp15_type, type, (
% 0.19/0.52     hskp15: $o)).
% 0.19/0.52  tff(hskp46_type, type, (
% 0.19/0.52     hskp46: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.52     tptp_fun__i_val_12: $i)).
% 0.19/0.52  tff(a415_type, type, (
% 0.19/0.52     a415: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.52     tptp_fun__i_val_14: $i)).
% 0.19/0.52  tff(a419_type, type, (
% 0.19/0.52     a419: $i)).
% 0.19/0.52  tff(hskp29_type, type, (
% 0.19/0.52     hskp29: $o)).
% 0.19/0.52  tff(hskp1_type, type, (
% 0.19/0.52     hskp1: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.52     tptp_fun__i_val_11: $i)).
% 0.19/0.52  tff(a409_type, type, (
% 0.19/0.52     a409: $i)).
% 0.19/0.52  tff(hskp27_type, type, (
% 0.19/0.52     hskp27: $o)).
% 0.19/0.52  tff(hskp48_type, type, (
% 0.19/0.52     hskp48: $o)).
% 0.19/0.52  tff(hskp37_type, type, (
% 0.19/0.52     hskp37: $o)).
% 0.19/0.52  tff(hskp38_type, type, (
% 0.19/0.52     hskp38: $o)).
% 0.19/0.52  tff(hskp47_type, type, (
% 0.19/0.52     hskp47: $o)).
% 0.19/0.52  tff(hskp10_type, type, (
% 0.19/0.52     hskp10: $o)).
% 0.19/0.52  tff(hskp44_type, type, (
% 0.19/0.52     hskp44: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_16_type, type, (
% 0.19/0.52     tptp_fun__i_val_16: $i)).
% 0.19/0.52  tff(a431_type, type, (
% 0.19/0.52     a431: $i)).
% 0.19/0.52  tff(hskp31_type, type, (
% 0.19/0.52     hskp31: $o)).
% 0.19/0.52  tff(hskp41_type, type, (
% 0.19/0.52     hskp41: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.52     tptp_fun__i_val_10: $i)).
% 0.19/0.52  tff(a408_type, type, (
% 0.19/0.52     a408: $i)).
% 0.19/0.52  tff(hskp30_type, type, (
% 0.19/0.52     hskp30: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.52     tptp_fun__i_val_0: $i)).
% 0.19/0.52  tff(a407_type, type, (
% 0.19/0.52     a407: $i)).
% 0.19/0.52  tff(hskp35_type, type, (
% 0.19/0.52     hskp35: $o)).
% 0.19/0.52  tff(hskp45_type, type, (
% 0.19/0.52     hskp45: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.52     tptp_fun__i_val_1: $i)).
% 0.19/0.52  tff(a416_type, type, (
% 0.19/0.52     a416: $i)).
% 0.19/0.52  tff(hskp39_type, type, (
% 0.19/0.52     hskp39: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.52     tptp_fun__i_val_9: $i)).
% 0.19/0.52  tff(a461_type, type, (
% 0.19/0.52     a461: $i)).
% 0.19/0.52  tff(hskp21_type, type, (
% 0.19/0.52     hskp21: $o)).
% 0.19/0.52  tff(hskp23_type, type, (
% 0.19/0.52     hskp23: $o)).
% 0.19/0.52  tff(hskp17_type, type, (
% 0.19/0.52     hskp17: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_18_type, type, (
% 0.19/0.52     tptp_fun__i_val_18: $i)).
% 0.19/0.52  tff(a436_type, type, (
% 0.19/0.52     a436: $i)).
% 0.19/0.52  tff(hskp32_type, type, (
% 0.19/0.52     hskp32: $o)).
% 0.19/0.52  tff(hskp16_type, type, (
% 0.19/0.52     hskp16: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.52     tptp_fun__i_val_8: $i)).
% 0.19/0.52  tff(a450_type, type, (
% 0.19/0.52     a450: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.52     tptp_fun__i_val_4: $i)).
% 0.19/0.52  tff(a437_type, type, (
% 0.19/0.52     a437: $i)).
% 0.19/0.52  tff(hskp0_type, type, (
% 0.19/0.52     hskp0: $o)).
% 0.19/0.52  tff(hskp2_type, type, (
% 0.19/0.52     hskp2: $o)).
% 0.19/0.52  tff(hskp26_type, type, (
% 0.19/0.52     hskp26: $o)).
% 0.19/0.52  tff(hskp49_type, type, (
% 0.19/0.52     hskp49: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_20_type, type, (
% 0.19/0.52     tptp_fun__i_val_20: $i)).
% 0.19/0.52  tff(a439_type, type, (
% 0.19/0.52     a439: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.52     tptp_fun__i_val_6: $i)).
% 0.19/0.52  tff(a443_type, type, (
% 0.19/0.52     a443: $i)).
% 0.19/0.52  tff(hskp34_type, type, (
% 0.19/0.52     hskp34: $o)).
% 0.19/0.52  tff(hskp11_type, type, (
% 0.19/0.52     hskp11: $o)).
% 0.19/0.52  tff(hskp12_type, type, (
% 0.19/0.52     hskp12: $o)).
% 0.19/0.52  tff(hskp24_type, type, (
% 0.19/0.52     hskp24: $o)).
% 0.19/0.52  tff(ndr1_0_type, type, (
% 0.19/0.52     ndr1_0: $o)).
% 0.19/0.52  tff(hskp40_type, type, (
% 0.19/0.52     hskp40: $o)).
% 0.19/0.52  tff(hskp13_type, type, (
% 0.19/0.52     hskp13: $o)).
% 0.19/0.52  tff(hskp7_type, type, (
% 0.19/0.52     hskp7: $o)).
% 0.19/0.52  tff(hskp3_type, type, (
% 0.19/0.52     hskp3: $o)).
% 0.19/0.52  tff(hskp5_type, type, (
% 0.19/0.52     hskp5: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.52     tptp_fun__i_val_15: $i)).
% 0.19/0.52  tff(a424_type, type, (
% 0.19/0.52     a424: $i)).
% 0.19/0.52  tff(hskp6_type, type, (
% 0.19/0.52     hskp6: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.52     tptp_fun__i_val_5: $i)).
% 0.19/0.52  tff(a440_type, type, (
% 0.19/0.52     a440: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_17_type, type, (
% 0.19/0.52     tptp_fun__i_val_17: $i)).
% 0.19/0.52  tff(a435_type, type, (
% 0.19/0.52     a435: $i)).
% 0.19/0.52  tff(hskp33_type, type, (
% 0.19/0.52     hskp33: $o)).
% 0.19/0.52  tff(hskp51_type, type, (
% 0.19/0.52     hskp51: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.52     tptp_fun__i_val_2: $i)).
% 0.19/0.52  tff(a421_type, type, (
% 0.19/0.52     a421: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.52     tptp_fun__i_val_7: $i)).
% 0.19/0.52  tff(a448_type, type, (
% 0.19/0.52     a448: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.52     tptp_fun__i_val_13: $i)).
% 0.19/0.52  tff(a417_type, type, (
% 0.19/0.52     a417: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_21_type, type, (
% 0.19/0.52     tptp_fun__i_val_21: $i)).
% 0.19/0.52  tff(a449_type, type, (
% 0.19/0.52     a449: $i)).
% 0.19/0.52  tff(tptp_fun__i_val_22_type, type, (
% 0.19/0.52     tptp_fun__i_val_22: $i)).
% 0.19/0.52  tff(a455_type, type, (
% 0.19/0.52     a455: $i)).
% 0.19/0.52  tff(hskp36_type, type, (
% 0.19/0.52     hskp36: $o)).
% 0.19/0.52  tff(hskp19_type, type, (
% 0.19/0.52     hskp19: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.52     tptp_fun__i_val_3: $i)).
% 0.19/0.52  tff(a428_type, type, (
% 0.19/0.52     a428: $i)).
% 0.19/0.52  tff(hskp42_type, type, (
% 0.19/0.52     hskp42: $o)).
% 0.19/0.52  tff(hskp20_type, type, (
% 0.19/0.52     hskp20: $o)).
% 0.19/0.52  tff(hskp25_type, type, (
% 0.19/0.52     hskp25: $o)).
% 0.19/0.52  tff(hskp18_type, type, (
% 0.19/0.52     hskp18: $o)).
% 0.19/0.52  tff(hskp43_type, type, (
% 0.19/0.52     hskp43: $o)).
% 0.19/0.52  tff(hskp22_type, type, (
% 0.19/0.52     hskp22: $o)).
% 0.19/0.52  tff(tptp_fun__i_val_19_type, type, (
% 0.19/0.52     tptp_fun__i_val_19: $i)).
% 0.19/0.52  tff(a438_type, type, (
% 0.19/0.52     a438: $i)).
% 0.19/0.52  tff(hskp8_type, type, (
% 0.19/0.52     hskp8: $o)).
% 0.19/0.52  tff(hskp4_type, type, (
% 0.19/0.52     hskp4: $o)).
% 0.19/0.52  tff(k!0_type, type, (
% 0.19/0.52     k!0: $i > $i)).
% 0.19/0.52  tff(c0_1_type, type, (
% 0.19/0.52     c0_1: $i > $o)).
% 0.19/0.52  tff(c3_1_type, type, (
% 0.19/0.52     c3_1: $i > $o)).
% 0.19/0.52  tff(c2_1_type, type, (
% 0.19/0.52     c2_1: $i > $o)).
% 0.19/0.52  tff(c1_1_type, type, (
% 0.19/0.52     c1_1: $i > $o)).
% 0.19/0.52  tff(formula1, axiom,
% 0.19/0.52      hskp14 <=> $false).
% 0.19/0.52  tff(formula2, axiom,
% 0.19/0.52      hskp50 <=> $false).
% 0.19/0.52  tff(formula3, axiom,
% 0.19/0.52      hskp9 <=> $true).
% 0.19/0.52  tff(formula4, axiom,
% 0.19/0.52      hskp15 <=> $true).
% 0.19/0.52  tff(formula5, axiom,
% 0.19/0.52      hskp46 <=> $false).
% 0.19/0.52  tff(formula6, axiom,
% 0.19/0.52      a415 = $i!val!12).
% 0.19/0.52  tff(formula7, axiom,
% 0.19/0.52      a419 = $i!val!14).
% 0.19/0.52  tff(formula8, axiom,
% 0.19/0.52      hskp29 <=> $true).
% 0.19/0.52  tff(formula9, axiom,
% 0.19/0.52      hskp1 <=> $false).
% 0.19/0.52  tff(formula10, axiom,
% 0.19/0.52      a409 = $i!val!11).
% 0.19/0.52  tff(formula11, axiom,
% 0.19/0.52      hskp27 <=> $false).
% 0.19/0.52  tff(formula12, axiom,
% 0.19/0.52      hskp48 <=> $true).
% 0.19/0.52  tff(formula13, axiom,
% 0.19/0.52      hskp37 <=> $false).
% 0.19/0.52  tff(formula14, axiom,
% 0.19/0.52      hskp38 <=> $false).
% 0.19/0.52  tff(formula15, axiom,
% 0.19/0.52      hskp47 <=> $false).
% 0.19/0.52  tff(formula16, axiom,
% 0.19/0.52      hskp10 <=> $false).
% 0.19/0.52  tff(formula17, axiom,
% 0.19/0.52      hskp44 <=> $true).
% 0.19/0.52  tff(formula18, axiom,
% 0.19/0.52      a431 = $i!val!16).
% 0.19/0.52  tff(formula19, axiom,
% 0.19/0.52      hskp31 <=> $false).
% 0.19/0.52  tff(formula20, axiom,
% 0.19/0.52      hskp41 <=> $false).
% 0.19/0.52  tff(formula21, axiom,
% 0.19/0.52      a408 = $i!val!10).
% 0.19/0.52  tff(formula22, axiom,
% 0.19/0.52      hskp30 <=> $false).
% 0.19/0.52  tff(formula23, axiom,
% 0.19/0.52      a407 = $i!val!0).
% 0.19/0.52  tff(formula24, axiom,
% 0.19/0.52      hskp35 <=> $true).
% 0.19/0.52  tff(formula25, axiom,
% 0.19/0.52      hskp45 <=> $false).
% 0.19/0.52  tff(formula26, axiom,
% 0.19/0.52      a416 = $i!val!1).
% 0.19/0.52  tff(formula27, axiom,
% 0.19/0.52      hskp39 <=> $true).
% 0.19/0.52  tff(formula28, axiom,
% 0.19/0.52      a461 = $i!val!9).
% 0.19/0.52  tff(formula29, axiom,
% 0.19/0.52      hskp21 <=> $false).
% 0.19/0.52  tff(formula30, axiom,
% 0.19/0.52      hskp23 <=> $false).
% 0.19/0.53  tff(formula31, axiom,
% 0.19/0.53      hskp17 <=> $true).
% 0.19/0.53  tff(formula32, axiom,
% 0.19/0.53      a436 = $i!val!18).
% 0.19/0.53  tff(formula33, axiom,
% 0.19/0.53      hskp32 <=> $false).
% 0.19/0.53  tff(formula34, axiom,
% 0.19/0.53      hskp16 <=> $false).
% 0.19/0.53  tff(formula35, axiom,
% 0.19/0.53      a450 = $i!val!8).
% 0.19/0.53  tff(formula36, axiom,
% 0.19/0.53      a437 = $i!val!4).
% 0.19/0.53  tff(formula37, axiom,
% 0.19/0.53      hskp0 <=> $false).
% 0.19/0.53  tff(formula38, axiom,
% 0.19/0.53      hskp2 <=> $false).
% 0.19/0.53  tff(formula39, axiom,
% 0.19/0.53      hskp26 <=> $true).
% 0.19/0.53  tff(formula40, axiom,
% 0.19/0.53      hskp49 <=> $false).
% 0.19/0.53  tff(formula41, axiom,
% 0.19/0.53      a439 = $i!val!20).
% 0.19/0.53  tff(formula42, axiom,
% 0.19/0.53      a443 = $i!val!6).
% 0.19/0.53  tff(formula43, axiom,
% 0.19/0.53      hskp34 <=> $true).
% 0.19/0.53  tff(formula44, axiom,
% 0.19/0.53      hskp11 <=> $false).
% 0.19/0.53  tff(formula45, axiom,
% 0.19/0.53      hskp12 <=> $false).
% 0.19/0.53  tff(formula46, axiom,
% 0.19/0.53      hskp24 <=> $false).
% 0.19/0.53  tff(formula47, axiom,
% 0.19/0.53      ndr1_0 <=> $true).
% 0.19/0.53  tff(formula48, axiom,
% 0.19/0.53      hskp40 <=> $false).
% 0.19/0.53  tff(formula49, axiom,
% 0.19/0.53      hskp13 <=> $false).
% 0.19/0.53  tff(formula50, axiom,
% 0.19/0.53      hskp7 <=> $false).
% 0.19/0.53  tff(formula51, axiom,
% 0.19/0.53      hskp3 <=> $true).
% 0.19/0.53  tff(formula52, axiom,
% 0.19/0.53      hskp5 <=> $false).
% 0.19/0.53  tff(formula53, axiom,
% 0.19/0.53      a424 = $i!val!15).
% 0.19/0.53  tff(formula54, axiom,
% 0.19/0.53      hskp6 <=> $true).
% 0.19/0.53  tff(formula55, axiom,
% 0.19/0.53      a440 = $i!val!5).
% 0.19/0.53  tff(formula56, axiom,
% 0.19/0.53      a435 = $i!val!17).
% 0.19/0.53  tff(formula57, axiom,
% 0.19/0.53      hskp33 <=> $false).
% 0.19/0.53  tff(formula58, axiom,
% 0.19/0.53      hskp51 <=> $false).
% 0.19/0.53  tff(formula59, axiom,
% 0.19/0.53      a421 = $i!val!2).
% 0.19/0.53  tff(formula60, axiom,
% 0.19/0.53      a448 = $i!val!7).
% 0.19/0.53  tff(formula61, axiom,
% 0.19/0.53      a417 = $i!val!13).
% 0.19/0.53  tff(formula62, axiom,
% 0.19/0.53      a449 = $i!val!21).
% 0.19/0.53  tff(formula63, axiom,
% 0.19/0.53      a455 = $i!val!22).
% 0.19/0.53  tff(formula64, axiom,
% 0.19/0.53      hskp36 <=> $true).
% 0.19/0.53  tff(formula65, axiom,
% 0.19/0.53      hskp19 <=> $false).
% 0.19/0.53  tff(formula66, axiom,
% 0.19/0.53      a428 = $i!val!3).
% 0.19/0.53  tff(formula67, axiom,
% 0.19/0.53      hskp42 <=> $true).
% 0.19/0.53  tff(formula68, axiom,
% 0.19/0.53      hskp20 <=> $true).
% 0.19/0.53  tff(formula69, axiom,
% 0.19/0.53      hskp25 <=> $false).
% 0.19/0.53  tff(formula70, axiom,
% 0.19/0.53      hskp18 <=> $false).
% 0.19/0.53  tff(formula71, axiom,
% 0.19/0.53      hskp43 <=> $true).
% 0.19/0.53  tff(formula72, axiom,
% 0.19/0.53      hskp22 <=> $false).
% 0.19/0.53  tff(formula73, axiom,
% 0.19/0.53      a438 = $i!val!19).
% 0.19/0.53  tff(formula74, axiom,
% 0.19/0.53      hskp8 <=> $false).
% 0.19/0.53  tff(formula75, axiom,
% 0.19/0.53      hskp4 <=> $false).
% 0.19/0.53  tff(formula76, axiom,
% 0.19/0.53      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!17)))).
% 0.19/0.53  tff(formula77, axiom,
% 0.19/0.53      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!22)))).
% 0.19/0.53  tff(formula78, axiom,
% 0.19/0.53      ![X0: $i] : (c2_1(X0) <=> $true)).
% 0.19/0.53  tff(formula79, axiom,
% 0.19/0.53      k!0($i!val!2) = $i!val!2).
% 0.19/0.53  tff(formula80, axiom,
% 0.19/0.53      k!0($i!val!16) = $i!val!16).
% 0.19/0.53  tff(formula81, axiom,
% 0.19/0.53      k!0($i!val!21) = $i!val!21).
% 0.19/0.53  tff(formula82, axiom,
% 0.19/0.53      k!0($i!val!10) = $i!val!10).
% 0.19/0.53  tff(formula83, axiom,
% 0.19/0.53      k!0($i!val!13) = $i!val!13).
% 0.19/0.53  tff(formula84, axiom,
% 0.19/0.53      k!0($i!val!22) = $i!val!22).
% 0.19/0.53  tff(formula85, axiom,
% 0.19/0.53      k!0($i!val!1) = $i!val!1).
% 0.19/0.53  tff(formula86, axiom,
% 0.19/0.53      k!0($i!val!7) = $i!val!7).
% 0.19/0.53  tff(formula87, axiom,
% 0.19/0.53      k!0($i!val!3) = $i!val!3).
% 0.19/0.53  tff(formula88, axiom,
% 0.19/0.53      k!0($i!val!14) = $i!val!14).
% 0.19/0.53  tff(formula89, axiom,
% 0.19/0.53      k!0($i!val!20) = $i!val!20).
% 0.19/0.53  tff(formula90, axiom,
% 0.19/0.53      k!0($i!val!6) = $i!val!6).
% 0.19/0.53  tff(formula91, axiom,
% 0.19/0.53      k!0($i!val!0) = $i!val!0).
% 0.19/0.53  tff(formula92, axiom,
% 0.19/0.53      k!0($i!val!12) = $i!val!12).
% 0.19/0.53  tff(formula93, axiom,
% 0.19/0.53      k!0($i!val!15) = $i!val!15).
% 0.19/0.53  tff(formula94, axiom,
% 0.19/0.53      k!0($i!val!11) = $i!val!11).
% 0.19/0.53  tff(formula95, axiom,
% 0.19/0.53      k!0($i!val!9) = $i!val!9).
% 0.19/0.53  tff(formula96, axiom,
% 0.19/0.53      k!0($i!val!17) = $i!val!17).
% 0.19/0.53  tff(formula97, axiom,
% 0.19/0.53      k!0($i!val!19) = $i!val!19).
% 0.19/0.53  tff(formula98, axiom,
% 0.19/0.53      k!0($i!val!18) = $i!val!18).
% 0.19/0.53  tff(formula99, axiom,
% 0.19/0.53      k!0($i!val!4) = $i!val!4).
% 0.19/0.53  tff(formula100, axiom,
% 0.19/0.53      k!0($i!val!5) = $i!val!5).
% 0.19/0.53  tff(formula101, axiom,
% 0.19/0.53      ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!16 = X0)) | (($i!val!21 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!22 = X0)) | (($i!val!1 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!14 = X0)) | (($i!val!20 = X0)) | (($i!val!6 = X0)) | (($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!15 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!17 = X0)) | (($i!val!19 = X0)) | (($i!val!18 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)))) => (k!0(X0) = $i!val!8))).
% 0.19/0.53  tff(formula102, axiom,
% 0.19/0.53      ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!22)))).
% 0.19/0.53  % SZS output end Model
% 0.19/0.53  % E exiting
%------------------------------------------------------------------------------