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Z3---4.15.1.CSA-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : PLA026+1 : TPTP v9.0.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n001.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 05:22:52 AM UTC 2025

% Result   : CounterSatisfiable 0.85s 1.04s
% Output   : Model 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PLA026+1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n001.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   : Fri Jun 20 02:26:04 EDT 2025
% 0.13/0.34  % CPUTime    : 
% 0.85/1.04  % SZS status CounterSatisfiable
% 0.85/1.04  % SZS output start Model
% 0.85/1.04  tff(tptp_fun__i_val_4_type, type, (
% 0.85/1.04     tptp_fun__i_val_4: $i)).
% 0.85/1.04  tff(block_5_type, type, (
% 0.85/1.04     block_5: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_3_type, type, (
% 0.85/1.04     tptp_fun__i_val_3: $i)).
% 0.85/1.04  tff(block_4_type, type, (
% 0.85/1.04     block_4: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_0_type, type, (
% 0.85/1.04     tptp_fun__i_val_0: $i)).
% 0.85/1.04  tff(block_1_type, type, (
% 0.85/1.04     block_1: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_1_type, type, (
% 0.85/1.04     tptp_fun__i_val_1: $i)).
% 0.85/1.04  tff(block_2_type, type, (
% 0.85/1.04     block_2: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_2_type, type, (
% 0.85/1.04     tptp_fun__i_val_2: $i)).
% 0.85/1.04  tff(block_3_type, type, (
% 0.85/1.04     block_3: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_6_type, type, (
% 0.85/1.04     tptp_fun__i_val_6: $i)).
% 0.85/1.04  tff(time_0_type, type, (
% 0.85/1.04     time_0: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_5_type, type, (
% 0.85/1.04     tptp_fun__i_val_5: $i)).
% 0.85/1.04  tff(table_type, type, (
% 0.85/1.04     table: $i)).
% 0.85/1.04  tff(nonfixed_type, type, (
% 0.85/1.04     nonfixed: $i > $o)).
% 0.85/1.04  tff(tptp_fun__i_val_8_type, type, (
% 0.85/1.04     tptp_fun__i_val_8: $i)).
% 0.85/1.04  tff(k!1031_type, type, (
% 0.85/1.04     k!1031: $i > $i)).
% 0.85/1.04  tff(tptp_fun__i_val_7_type, type, (
% 0.85/1.04     tptp_fun__i_val_7: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_10_type, type, (
% 0.85/1.04     tptp_fun__i_val_10: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_9_type, type, (
% 0.85/1.04     tptp_fun__i_val_9: $i)).
% 0.85/1.04  tff(source_type, type, (
% 0.85/1.04     source: ( $i * $i ) > $o)).
% 0.85/1.04  tff(goal_time_type, type, (
% 0.85/1.04     goal_time: $i > $o)).
% 0.85/1.04  tff(fixed_type, type, (
% 0.85/1.04     fixed: $i > $o)).
% 0.85/1.04  tff(time_type, type, (
% 0.85/1.04     time: $i > $o)).
% 0.85/1.04  tff(tptp_fun__i_val_13_type, type, (
% 0.85/1.04     tptp_fun__i_val_13: $i)).
% 0.85/1.04  tff(clear_type, type, (
% 0.85/1.04     clear: ( $i * $i ) > $o)).
% 0.85/1.04  tff(tptp_fun__i_val_11_type, type, (
% 0.85/1.04     tptp_fun__i_val_11: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_15_type, type, (
% 0.85/1.04     tptp_fun__i_val_15: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_14_type, type, (
% 0.85/1.04     tptp_fun__i_val_14: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_17_type, type, (
% 0.85/1.04     tptp_fun__i_val_17: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_16_type, type, (
% 0.85/1.04     tptp_fun__i_val_16: $i)).
% 0.85/1.04  tff(tptp_fun__i_val_12_type, type, (
% 0.85/1.04     tptp_fun__i_val_12: $i)).
% 0.85/1.04  tff(a_block_type, type, (
% 0.85/1.04     a_block: $i > $o)).
% 0.85/1.04  tff(on_type, type, (
% 0.85/1.04     on: ( $i * $i * $i ) > $o)).
% 0.85/1.04  tff(neq_type, type, (
% 0.85/1.04     neq: ( $i * $i ) > $o)).
% 0.85/1.04  tff(different_type, type, (
% 0.85/1.04     different: ( $i * $i ) > $o)).
% 0.85/1.04  tff(destination_type, type, (
% 0.85/1.04     destination: ( $i * $i ) > $o)).
% 0.85/1.04  tff(object_type, type, (
% 0.85/1.04     object: ( $i * $i ) > $o)).
% 0.85/1.04  tff(s_type, type, (
% 0.85/1.04     s: $i > $i)).
% 0.85/1.04  tff(formula1, axiom,
% 0.85/1.04      block_5 = $i!val!4).
% 0.85/1.04  tff(formula2, axiom,
% 0.85/1.04      block_4 = $i!val!3).
% 0.85/1.04  tff(formula3, axiom,
% 0.85/1.04      block_1 = $i!val!0).
% 0.85/1.04  tff(formula4, axiom,
% 0.85/1.04      block_2 = $i!val!1).
% 0.85/1.04  tff(formula5, axiom,
% 0.85/1.04      block_3 = $i!val!2).
% 0.85/1.04  tff(formula6, axiom,
% 0.85/1.04      time_0 = $i!val!6).
% 0.85/1.04  tff(formula7, axiom,
% 0.85/1.04      table = $i!val!5).
% 0.85/1.04  tff(formula8, axiom,
% 0.85/1.04      ![X0: $i] : (nonfixed(X0) <=> (~((X0 = $i!val!5) & (~(X0 = $i!val!0)))))).
% 0.85/1.04  tff(formula9, axiom,
% 0.85/1.04      ![X0: $i, X1: $i] : (source(X0, X1) <=> (((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8))))).
% 0.85/1.04  tff(formula10, axiom,
% 0.85/1.04      ![X0: $i] : (goal_time(X0) <=> $true)).
% 0.85/1.04  tff(formula11, axiom,
% 0.85/1.04      ![X0: $i] : (fixed(X0) <=> ((X0 = $i!val!5) & (~(X0 = $i!val!0))))).
% 0.85/1.04  tff(formula12, axiom,
% 0.85/1.04      ![X0: $i] : (time(X0) <=> ((k!1031(X0) = $i!val!7) | (k!1031(X0) = $i!val!6) | (k!1031(X0) = $i!val!9) | (k!1031(X0) = $i!val!10) | (k!1031(X0) = $i!val!8)))).
% 0.85/1.04  tff(formula13, axiom,
% 0.85/1.04      ![X0: $i, X1: $i] : (clear(X0, X1) <=> (((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7))))).
% 0.85/1.04  tff(formula14, axiom,
% 0.85/1.04      k!1031($i!val!10) = $i!val!10).
% 0.85/1.04  tff(formula15, axiom,
% 0.85/1.04      k!1031($i!val!11) = $i!val!11).
% 0.85/1.04  tff(formula16, axiom,
% 0.85/1.04      k!1031($i!val!15) = $i!val!15).
% 0.85/1.04  tff(formula17, axiom,
% 0.85/1.04      k!1031($i!val!14) = $i!val!14).
% 0.85/1.04  tff(formula18, axiom,
% 0.85/1.04      k!1031($i!val!7) = $i!val!7).
% 0.85/1.04  tff(formula19, axiom,
% 0.85/1.04      k!1031($i!val!17) = $i!val!17).
% 0.85/1.04  tff(formula20, axiom,
% 0.85/1.04      k!1031($i!val!6) = $i!val!6).
% 0.85/1.04  tff(formula21, axiom,
% 0.85/1.04      k!1031($i!val!16) = $i!val!16).
% 0.85/1.04  tff(formula22, axiom,
% 0.85/1.04      k!1031($i!val!9) = $i!val!9).
% 0.85/1.04  tff(formula23, axiom,
% 0.85/1.04      k!1031($i!val!12) = $i!val!12).
% 0.85/1.04  tff(formula24, axiom,
% 0.85/1.04      k!1031($i!val!8) = $i!val!8).
% 0.85/1.04  tff(formula25, axiom,
% 0.85/1.04      ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!11 = X0)) | (($i!val!15 = X0)) | (($i!val!14 = X0)) | (($i!val!7 = X0)) | (($i!val!17 = X0)) | (($i!val!6 = X0)) | (($i!val!16 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!8 = X0)))) => (k!1031(X0) = $i!val!13))).
% 0.85/1.04  tff(formula26, axiom,
% 0.85/1.04      ![X0: $i] : (a_block(X0) <=> $true)).
% 0.85/1.04  tff(formula27, axiom,
% 0.85/1.04      ![X0: $i, X1: $i, X2: $i] : (on(X0, X1, X2) <=> (((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!6)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!9)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!8)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!10)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!7)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((~(X2 = $i!val!4)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (k!1031(X0) = $i!val!13)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!13)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X2 = $i!val!2) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X2 = $i!val!3) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X2 = $i!val!4) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10))))).
% 0.85/1.04  tff(formula28, axiom,
% 0.85/1.04      ![X0: $i, X1: $i] : (neq(X0, X1) <=> ((~((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (X0 = $i!val!5) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!0) & (X0 = $i!val!0))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0))))))).
% 0.85/1.04  tff(formula29, axiom,
% 0.85/1.04      ![X0: $i, X1: $i] : (different(X0, X1) <=> ((~((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (X0 = $i!val!5) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (X0 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!0)))) & (~((X1 = $i!val!0) & (X0 = $i!val!0)))))).
% 0.85/1.05  tff(formula30, axiom,
% 0.85/1.05      ![X0: $i, X1: $i] : (destination(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10)) | ((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X1 = $i!val!5) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7))))).
% 0.85/1.05  tff(formula31, axiom,
% 0.85/1.05      ![X0: $i, X1: $i] : (object(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!6)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!8)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!9)) | ((X1 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!0)) & (k!1031(X0) = $i!val!10))))).
% 0.85/1.05  tff(formula32, axiom,
% 0.85/1.05      ![X0: $i] : (s(X0) = ite_t((k!1031(X0) = $i!val!16), $i!val!17, ite_t((k!1031(X0) = $i!val!15), $i!val!16, ite_t((k!1031(X0) = $i!val!14), $i!val!15, ite_t((k!1031(X0) = $i!val!13), $i!val!14, ite_t((k!1031(X0) = $i!val!10), $i!val!13, ite_t((k!1031(X0) = $i!val!11), $i!val!12, ite_t((k!1031(X0) = $i!val!9), $i!val!10, ite_t((k!1031(X0) = $i!val!8), $i!val!9, ite_t((k!1031(X0) = $i!val!7), $i!val!8, $i!val!7))))))))))).
% 0.85/1.05  % SZS output end Model
% 0.85/1.05  % E exiting
%------------------------------------------------------------------------------