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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN541-1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n008.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 05:39:31 AM UTC 2025

% Result   : Satisfiable 0.18s 0.41s
% Output   : Model 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN541-1 : TPTP v9.0.0. Released v2.1.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Jun 20 12:38:03 EDT 2025
% 0.11/0.32  % CPUTime    : 
% 0.18/0.41  % SZS status Satisfiable
% 0.18/0.41  % SZS output start Model
% 0.18/0.41  tff(tptp_fun__i_val_29_type, type, (
% 0.18/0.41     tptp_fun__i_val_29: $i)).
% 0.18/0.41  tff(a758_type, type, (
% 0.18/0.41     a758: $i)).
% 0.18/0.41  tff(ssSkC4_type, type, (
% 0.18/0.41     ssSkC4: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_10_type, type, (
% 0.18/0.41     tptp_fun__i_val_10: $i)).
% 0.18/0.41  tff(a746_type, type, (
% 0.18/0.41     a746: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_9_type, type, (
% 0.18/0.41     tptp_fun__i_val_9: $i)).
% 0.18/0.41  tff(a771_type, type, (
% 0.18/0.41     a771: $i)).
% 0.18/0.41  tff(ssSkC1_type, type, (
% 0.18/0.41     ssSkC1: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_28_type, type, (
% 0.18/0.41     tptp_fun__i_val_28: $i)).
% 0.18/0.41  tff(a761_type, type, (
% 0.18/0.41     a761: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_21_type, type, (
% 0.18/0.41     tptp_fun__i_val_21: $i)).
% 0.18/0.41  tff(a747_type, type, (
% 0.18/0.41     a747: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_18_type, type, (
% 0.18/0.41     tptp_fun__i_val_18: $i)).
% 0.18/0.41  tff(a728_type, type, (
% 0.18/0.41     a728: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_24_type, type, (
% 0.18/0.41     tptp_fun__i_val_24: $i)).
% 0.18/0.41  tff(a765_type, type, (
% 0.18/0.41     a765: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.41     tptp_fun__i_val_2: $i)).
% 0.18/0.41  tff(a772_type, type, (
% 0.18/0.41     a772: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.41     tptp_fun__i_val_0: $i)).
% 0.18/0.41  tff(a731_type, type, (
% 0.18/0.41     a731: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_22_type, type, (
% 0.18/0.41     tptp_fun__i_val_22: $i)).
% 0.18/0.41  tff(a736_type, type, (
% 0.18/0.41     a736: $i)).
% 0.18/0.41  tff(c1_0_type, type, (
% 0.18/0.41     c1_0: $o)).
% 0.18/0.41  tff(a753_type, type, (
% 0.18/0.41     a753: $i)).
% 0.18/0.41  tff(a764_type, type, (
% 0.18/0.41     a764: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_8_type, type, (
% 0.18/0.41     tptp_fun__i_val_8: $i)).
% 0.18/0.41  tff(a774_type, type, (
% 0.18/0.41     a774: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_20_type, type, (
% 0.18/0.41     tptp_fun__i_val_20: $i)).
% 0.18/0.41  tff(a768_type, type, (
% 0.18/0.41     a768: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.41     tptp_fun__i_val_6: $i)).
% 0.18/0.41  tff(a734_type, type, (
% 0.18/0.41     a734: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_26_type, type, (
% 0.18/0.41     tptp_fun__i_val_26: $i)).
% 0.18/0.41  tff(a737_type, type, (
% 0.18/0.41     a737: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_11_type, type, (
% 0.18/0.41     tptp_fun__i_val_11: $i)).
% 0.18/0.41  tff(a760_type, type, (
% 0.18/0.41     a760: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_31_type, type, (
% 0.18/0.41     tptp_fun__i_val_31: $i)).
% 0.18/0.41  tff(a740_type, type, (
% 0.18/0.41     a740: $i)).
% 0.18/0.41  tff(a766_type, type, (
% 0.18/0.41     a766: $i)).
% 0.18/0.41  tff(ssSkC2_type, type, (
% 0.18/0.41     ssSkC2: $o)).
% 0.18/0.41  tff(c4_0_type, type, (
% 0.18/0.41     c4_0: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_25_type, type, (
% 0.18/0.41     tptp_fun__i_val_25: $i)).
% 0.18/0.41  tff(a749_type, type, (
% 0.18/0.41     a749: $i)).
% 0.18/0.41  tff(a733_type, type, (
% 0.18/0.41     a733: $i)).
% 0.18/0.41  tff(a730_type, type, (
% 0.18/0.41     a730: $i)).
% 0.18/0.41  tff(ssSkC3_type, type, (
% 0.18/0.41     ssSkC3: $o)).
% 0.18/0.41  tff(c2_0_type, type, (
% 0.18/0.41     c2_0: $o)).
% 0.18/0.41  tff(a752_type, type, (
% 0.18/0.41     a752: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_15_type, type, (
% 0.18/0.41     tptp_fun__i_val_15: $i)).
% 0.18/0.41  tff(a751_type, type, (
% 0.18/0.41     a751: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.41     tptp_fun__i_val_3: $i)).
% 0.18/0.41  tff(a750_type, type, (
% 0.18/0.41     a750: $i)).
% 0.18/0.41  tff(ssSkC5_type, type, (
% 0.18/0.41     ssSkC5: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_7_type, type, (
% 0.18/0.41     tptp_fun__i_val_7: $i)).
% 0.18/0.41  tff(a726_type, type, (
% 0.18/0.41     a726: $i)).
% 0.18/0.41  tff(a762_type, type, (
% 0.18/0.41     a762: $i)).
% 0.18/0.41  tff(ssSkC0_type, type, (
% 0.18/0.41     ssSkC0: $o)).
% 0.18/0.41  tff(ndr1_0_type, type, (
% 0.18/0.41     ndr1_0: $o)).
% 0.18/0.41  tff(c3_0_type, type, (
% 0.18/0.41     c3_0: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.41     tptp_fun__i_val_5: $i)).
% 0.18/0.41  tff(a742_type, type, (
% 0.18/0.41     a742: $i)).
% 0.18/0.41  tff(ssSkC7_type, type, (
% 0.18/0.41     ssSkC7: $o)).
% 0.18/0.41  tff(tptp_fun__i_val_12_type, type, (
% 0.18/0.41     tptp_fun__i_val_12: $i)).
% 0.18/0.41  tff(a757_type, type, (
% 0.18/0.41     a757: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_14_type, type, (
% 0.18/0.41     tptp_fun__i_val_14: $i)).
% 0.18/0.41  tff(a773_type, type, (
% 0.18/0.41     a773: $i)).
% 0.18/0.41  tff(a748_type, type, (
% 0.18/0.41     a748: $i)).
% 0.18/0.41  tff(a755_type, type, (
% 0.18/0.41     a755: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_23_type, type, (
% 0.18/0.41     tptp_fun__i_val_23: $i)).
% 0.18/0.41  tff(a769_type, type, (
% 0.18/0.41     a769: $i)).
% 0.18/0.41  tff(ssSkC6_type, type, (
% 0.18/0.41     ssSkC6: $o)).
% 0.18/0.41  tff(a735_type, type, (
% 0.18/0.41     a735: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.41     tptp_fun__i_val_1: $i)).
% 0.18/0.41  tff(a759_type, type, (
% 0.18/0.41     a759: $i)).
% 0.18/0.41  tff(a729_type, type, (
% 0.18/0.41     a729: $i)).
% 0.18/0.41  tff(a754_type, type, (
% 0.18/0.41     a754: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_17_type, type, (
% 0.18/0.41     tptp_fun__i_val_17: $i)).
% 0.18/0.41  tff(a743_type, type, (
% 0.18/0.41     a743: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_19_type, type, (
% 0.18/0.41     tptp_fun__i_val_19: $i)).
% 0.18/0.41  tff(a727_type, type, (
% 0.18/0.41     a727: $i)).
% 0.18/0.41  tff(a767_type, type, (
% 0.18/0.41     a767: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_16_type, type, (
% 0.18/0.41     tptp_fun__i_val_16: $i)).
% 0.18/0.41  tff(a745_type, type, (
% 0.18/0.41     a745: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_30_type, type, (
% 0.18/0.41     tptp_fun__i_val_30: $i)).
% 0.18/0.41  tff(a739_type, type, (
% 0.18/0.41     a739: $i)).
% 0.18/0.41  tff(a738_type, type, (
% 0.18/0.41     a738: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_13_type, type, (
% 0.18/0.41     tptp_fun__i_val_13: $i)).
% 0.18/0.41  tff(a741_type, type, (
% 0.18/0.41     a741: $i)).
% 0.18/0.41  tff(c5_0_type, type, (
% 0.18/0.41     c5_0: $o)).
% 0.18/0.41  tff(a732_type, type, (
% 0.18/0.41     a732: $i)).
% 0.18/0.41  tff(a763_type, type, (
% 0.18/0.41     a763: $i)).
% 0.18/0.41  tff(a756_type, type, (
% 0.18/0.41     a756: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.41     tptp_fun__i_val_4: $i)).
% 0.18/0.41  tff(a744_type, type, (
% 0.18/0.41     a744: $i)).
% 0.18/0.41  tff(tptp_fun__i_val_27_type, type, (
% 0.18/0.41     tptp_fun__i_val_27: $i)).
% 0.18/0.41  tff(a770_type, type, (
% 0.18/0.41     a770: $i)).
% 0.18/0.41  tff(ndr1_1_type, type, (
% 0.18/0.41     ndr1_1: $i > $o)).
% 0.18/0.41  tff(c3_2_type, type, (
% 0.18/0.41     c3_2: ( $i * $i ) > $o)).
% 0.18/0.41  tff(k!0_type, type, (
% 0.18/0.41     k!0: $i > $i)).
% 0.18/0.41  tff(c4_2_type, type, (
% 0.18/0.41     c4_2: ( $i * $i ) > $o)).
% 0.18/0.41  tff(c5_1_type, type, (
% 0.18/0.41     c5_1: $i > $o)).
% 0.18/0.41  tff(ssSkP0_type, type, (
% 0.18/0.41     ssSkP0: $i > $o)).
% 0.18/0.41  tff(c5_2_type, type, (
% 0.18/0.41     c5_2: ( $i * $i ) > $o)).
% 0.18/0.41  tff(c2_1_type, type, (
% 0.18/0.41     c2_1: $i > $o)).
% 0.18/0.41  tff(c3_1_type, type, (
% 0.18/0.41     c3_1: $i > $o)).
% 0.18/0.41  tff(c2_2_type, type, (
% 0.18/0.41     c2_2: ( $i * $i ) > $o)).
% 0.18/0.41  tff(c4_1_type, type, (
% 0.18/0.41     c4_1: $i > $o)).
% 0.18/0.41  tff(c1_2_type, type, (
% 0.18/0.41     c1_2: ( $i * $i ) > $o)).
% 0.18/0.41  tff(c1_1_type, type, (
% 0.18/0.41     c1_1: $i > $o)).
% 0.18/0.41  tff(formula1, axiom,
% 0.18/0.41      a758 = $i!val!29).
% 0.18/0.41  tff(formula2, axiom,
% 0.18/0.41      ssSkC4 <=> $true).
% 0.18/0.41  tff(formula3, axiom,
% 0.18/0.41      a746 = $i!val!10).
% 0.18/0.41  tff(formula4, axiom,
% 0.18/0.41      a771 = $i!val!9).
% 0.18/0.41  tff(formula5, axiom,
% 0.18/0.41      ssSkC1 <=> $false).
% 0.18/0.41  tff(formula6, axiom,
% 0.18/0.41      a761 = $i!val!28).
% 0.18/0.41  tff(formula7, axiom,
% 0.18/0.41      a747 = $i!val!21).
% 0.18/0.41  tff(formula8, axiom,
% 0.18/0.41      a728 = $i!val!18).
% 0.18/0.41  tff(formula9, axiom,
% 0.18/0.41      a765 = $i!val!24).
% 0.18/0.41  tff(formula10, axiom,
% 0.18/0.41      a772 = $i!val!2).
% 0.18/0.41  tff(formula11, axiom,
% 0.18/0.41      a731 = $i!val!0).
% 0.18/0.41  tff(formula12, axiom,
% 0.18/0.41      a736 = $i!val!22).
% 0.18/0.41  tff(formula13, axiom,
% 0.18/0.41      c1_0 <=> $false).
% 0.18/0.41  tff(formula14, axiom,
% 0.18/0.41      a753 = $i!val!28).
% 0.18/0.41  tff(formula15, axiom,
% 0.18/0.41      a764 = $i!val!10).
% 0.18/0.41  tff(formula16, axiom,
% 0.18/0.41      a774 = $i!val!8).
% 0.18/0.41  tff(formula17, axiom,
% 0.18/0.41      a768 = $i!val!20).
% 0.18/0.41  tff(formula18, axiom,
% 0.18/0.41      a734 = $i!val!6).
% 0.18/0.41  tff(formula19, axiom,
% 0.18/0.41      a737 = $i!val!26).
% 0.18/0.41  tff(formula20, axiom,
% 0.18/0.41      a760 = $i!val!11).
% 0.18/0.41  tff(formula21, axiom,
% 0.18/0.41      a740 = $i!val!31).
% 0.18/0.41  tff(formula22, axiom,
% 0.18/0.41      a766 = $i!val!29).
% 0.18/0.41  tff(formula23, axiom,
% 0.18/0.41      ssSkC2 <=> $true).
% 0.18/0.41  tff(formula24, axiom,
% 0.18/0.41      c4_0 <=> $false).
% 0.18/0.41  tff(formula25, axiom,
% 0.18/0.41      a749 = $i!val!25).
% 0.18/0.41  tff(formula26, axiom,
% 0.18/0.41      a733 = $i!val!29).
% 0.18/0.41  tff(formula27, axiom,
% 0.18/0.41      a730 = $i!val!29).
% 0.18/0.41  tff(formula28, axiom,
% 0.18/0.41      ssSkC3 <=> $true).
% 0.18/0.41  tff(formula29, axiom,
% 0.18/0.41      c2_0 <=> $false).
% 0.18/0.41  tff(formula30, axiom,
% 0.18/0.41      a752 = $i!val!28).
% 0.18/0.41  tff(formula31, axiom,
% 0.18/0.41      a751 = $i!val!15).
% 0.18/0.41  tff(formula32, axiom,
% 0.18/0.41      a750 = $i!val!3).
% 0.18/0.41  tff(formula33, axiom,
% 0.18/0.41      ssSkC5 <=> $false).
% 0.18/0.41  tff(formula34, axiom,
% 0.18/0.41      a726 = $i!val!7).
% 0.18/0.41  tff(formula35, axiom,
% 0.18/0.41      a762 = $i!val!10).
% 0.18/0.41  tff(formula36, axiom,
% 0.18/0.41      ssSkC0 <=> $true).
% 0.18/0.41  tff(formula37, axiom,
% 0.18/0.41      ndr1_0 <=> $true).
% 0.18/0.41  tff(formula38, axiom,
% 0.18/0.41      c3_0 <=> $false).
% 0.18/0.41  tff(formula39, axiom,
% 0.18/0.41      a742 = $i!val!5).
% 0.18/0.41  tff(formula40, axiom,
% 0.18/0.41      ssSkC7 <=> $true).
% 0.18/0.41  tff(formula41, axiom,
% 0.18/0.41      a757 = $i!val!12).
% 0.18/0.41  tff(formula42, axiom,
% 0.18/0.41      a773 = $i!val!14).
% 0.18/0.41  tff(formula43, axiom,
% 0.18/0.41      a748 = $i!val!28).
% 0.18/0.41  tff(formula44, axiom,
% 0.18/0.41      a755 = $i!val!15).
% 0.18/0.41  tff(formula45, axiom,
% 0.18/0.41      a769 = $i!val!23).
% 0.18/0.41  tff(formula46, axiom,
% 0.18/0.41      ssSkC6 <=> $false).
% 0.18/0.41  tff(formula47, axiom,
% 0.18/0.41      a735 = $i!val!29).
% 0.18/0.41  tff(formula48, axiom,
% 0.18/0.41      a759 = $i!val!1).
% 0.18/0.41  tff(formula49, axiom,
% 0.18/0.41      a729 = $i!val!29).
% 0.18/0.41  tff(formula50, axiom,
% 0.18/0.41      a754 = $i!val!10).
% 0.18/0.41  tff(formula51, axiom,
% 0.18/0.41      a743 = $i!val!17).
% 0.18/0.41  tff(formula52, axiom,
% 0.18/0.41      a727 = $i!val!19).
% 0.18/0.41  tff(formula53, axiom,
% 0.18/0.41      a767 = $i!val!10).
% 0.18/0.41  tff(formula54, axiom,
% 0.18/0.41      a745 = $i!val!16).
% 0.18/0.41  tff(formula55, axiom,
% 0.18/0.41      a739 = $i!val!30).
% 0.18/0.41  tff(formula56, axiom,
% 0.18/0.41      a738 = $i!val!29).
% 0.18/0.41  tff(formula57, axiom,
% 0.18/0.41      a741 = $i!val!13).
% 0.18/0.41  tff(formula58, axiom,
% 0.18/0.41      c5_0 <=> $false).
% 0.18/0.41  tff(formula59, axiom,
% 0.18/0.41      a732 = $i!val!13).
% 0.18/0.41  tff(formula60, axiom,
% 0.18/0.41      a763 = $i!val!10).
% 0.18/0.41  tff(formula61, axiom,
% 0.18/0.41      a756 = $i!val!29).
% 0.18/0.41  tff(formula62, axiom,
% 0.18/0.41      a744 = $i!val!4).
% 0.18/0.41  tff(formula63, axiom,
% 0.18/0.41      a770 = $i!val!27).
% 0.18/0.41  tff(formula64, axiom,
% 0.18/0.41      ![X0: $i] : (ndr1_1(X0) <=> $false)).
% 0.18/0.41  tff(formula65, axiom,
% 0.18/0.41      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.18/0.41  tff(formula66, axiom,
% 0.18/0.41      k!0($i!val!1) = $i!val!1).
% 0.18/0.41  tff(formula67, axiom,
% 0.18/0.42      k!0($i!val!22) = $i!val!22).
% 0.18/0.42  tff(formula68, axiom,
% 0.18/0.42      k!0($i!val!10) = $i!val!10).
% 0.18/0.42  tff(formula69, axiom,
% 0.18/0.42      k!0($i!val!29) = $i!val!29).
% 0.18/0.42  tff(formula70, axiom,
% 0.18/0.42      k!0($i!val!8) = $i!val!8).
% 0.18/0.42  tff(formula71, axiom,
% 0.18/0.42      k!0($i!val!6) = $i!val!6).
% 0.18/0.42  tff(formula72, axiom,
% 0.18/0.42      k!0($i!val!3) = $i!val!3).
% 0.18/0.42  tff(formula73, axiom,
% 0.18/0.42      k!0($i!val!9) = $i!val!9).
% 0.18/0.42  tff(formula74, axiom,
% 0.18/0.42      k!0($i!val!7) = $i!val!7).
% 0.18/0.42  tff(formula75, axiom,
% 0.18/0.42      k!0($i!val!13) = $i!val!13).
% 0.18/0.42  tff(formula76, axiom,
% 0.18/0.42      k!0($i!val!5) = $i!val!5).
% 0.18/0.42  tff(formula77, axiom,
% 0.18/0.42      k!0($i!val!12) = $i!val!12).
% 0.18/0.42  tff(formula78, axiom,
% 0.18/0.42      k!0($i!val!21) = $i!val!21).
% 0.18/0.42  tff(formula79, axiom,
% 0.18/0.42      k!0($i!val!24) = $i!val!24).
% 0.18/0.42  tff(formula80, axiom,
% 0.18/0.42      k!0($i!val!4) = $i!val!4).
% 0.18/0.42  tff(formula81, axiom,
% 0.18/0.42      k!0($i!val!2) = $i!val!2).
% 0.18/0.42  tff(formula82, axiom,
% 0.18/0.42      k!0($i!val!23) = $i!val!23).
% 0.18/0.42  tff(formula83, axiom,
% 0.18/0.42      ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!22 = X0)) | (($i!val!10 = X0)) | (($i!val!29 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)) | (($i!val!3 = X0)) | (($i!val!9 = X0)) | (($i!val!7 = X0)) | (($i!val!13 = X0)) | (($i!val!5 = X0)) | (($i!val!12 = X0)) | (($i!val!21 = X0)) | (($i!val!24 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!23 = X0)))) => (k!0(X0) = $i!val!0))).
% 0.18/0.42  tff(formula84, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.18/0.42  tff(formula85, axiom,
% 0.18/0.42      ![X0: $i] : (c5_1(X0) <=> $false)).
% 0.18/0.42  tff(formula86, axiom,
% 0.18/0.42      ![X0: $i] : (ssSkP0(X0) <=> $true)).
% 0.18/0.42  tff(formula87, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.18/0.42  tff(formula88, axiom,
% 0.18/0.42      ![X0: $i] : (c2_1(X0) <=> (~(k!0(X0) = $i!val!3)))).
% 0.18/0.42  tff(formula89, axiom,
% 0.18/0.42      ![X0: $i] : (c3_1(X0) <=> (k!0(X0) = $i!val!8))).
% 0.18/0.42  tff(formula90, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.18/0.42  tff(formula91, axiom,
% 0.18/0.42      ![X0: $i] : (c4_1(X0) <=> ((k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!6)))).
% 0.18/0.42  tff(formula92, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.18/0.42  tff(formula93, axiom,
% 0.18/0.42      ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.18/0.42  % SZS output end Model
% 0.18/0.42  % E exiting
%------------------------------------------------------------------------------