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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN492-1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n006.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 05:39:20 AM UTC 2025

% Result   : Satisfiable 0.18s 0.37s
% Output   : Model 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN492-1 : TPTP v9.0.0. Released v2.1.0.
% 0.12/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri Jun 20 12:36:20 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.18/0.37  % SZS status Satisfiable
% 0.18/0.37  % SZS output start Model
% 0.18/0.37  tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.37     tptp_fun__i_val_5: $i)).
% 0.18/0.37  tff(a33_type, type, (
% 0.18/0.37     a33: $i)).
% 0.18/0.37  tff(hskp0_type, type, (
% 0.18/0.37     hskp0: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.37     tptp_fun__i_val_3: $i)).
% 0.18/0.37  tff(a37_type, type, (
% 0.18/0.37     a37: $i)).
% 0.18/0.37  tff(hskp9_type, type, (
% 0.18/0.37     hskp9: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.37     tptp_fun__i_val_4: $i)).
% 0.18/0.37  tff(a34_type, type, (
% 0.18/0.37     a34: $i)).
% 0.18/0.37  tff(hskp2_type, type, (
% 0.18/0.37     hskp2: $o)).
% 0.18/0.37  tff(hskp1_type, type, (
% 0.18/0.37     hskp1: $o)).
% 0.18/0.37  tff(hskp12_type, type, (
% 0.18/0.37     hskp12: $o)).
% 0.18/0.37  tff(hskp11_type, type, (
% 0.18/0.37     hskp11: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_8_type, type, (
% 0.18/0.37     tptp_fun__i_val_8: $i)).
% 0.18/0.37  tff(a28_type, type, (
% 0.18/0.37     a28: $i)).
% 0.18/0.37  tff(ndr1_0_type, type, (
% 0.18/0.37     ndr1_0: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_9_type, type, (
% 0.18/0.37     tptp_fun__i_val_9: $i)).
% 0.18/0.37  tff(a27_type, type, (
% 0.18/0.37     a27: $i)).
% 0.18/0.37  tff(hskp7_type, type, (
% 0.18/0.37     hskp7: $o)).
% 0.18/0.37  tff(hskp3_type, type, (
% 0.18/0.37     hskp3: $o)).
% 0.18/0.37  tff(hskp5_type, type, (
% 0.18/0.37     hskp5: $o)).
% 0.18/0.37  tff(hskp6_type, type, (
% 0.18/0.37     hskp6: $o)).
% 0.18/0.37  tff(hskp10_type, type, (
% 0.18/0.37     hskp10: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.37     tptp_fun__i_val_6: $i)).
% 0.18/0.37  tff(a31_type, type, (
% 0.18/0.37     a31: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_10_type, type, (
% 0.18/0.37     tptp_fun__i_val_10: $i)).
% 0.18/0.37  tff(a36_type, type, (
% 0.18/0.37     a36: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.37     tptp_fun__i_val_1: $i)).
% 0.18/0.37  tff(a26_type, type, (
% 0.18/0.37     a26: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_7_type, type, (
% 0.18/0.37     tptp_fun__i_val_7: $i)).
% 0.18/0.37  tff(a29_type, type, (
% 0.18/0.37     a29: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_11_type, type, (
% 0.18/0.37     tptp_fun__i_val_11: $i)).
% 0.18/0.37  tff(a35_type, type, (
% 0.18/0.37     a35: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.37     tptp_fun__i_val_2: $i)).
% 0.18/0.37  tff(a25_type, type, (
% 0.18/0.37     a25: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.37     tptp_fun__i_val_0: $i)).
% 0.18/0.37  tff(a32_type, type, (
% 0.18/0.37     a32: $i)).
% 0.18/0.37  tff(hskp8_type, type, (
% 0.18/0.37     hskp8: $o)).
% 0.18/0.37  tff(hskp4_type, type, (
% 0.18/0.37     hskp4: $o)).
% 0.18/0.37  tff(k!0_type, type, (
% 0.18/0.37     k!0: $i > $i)).
% 0.18/0.37  tff(c3_1_type, type, (
% 0.18/0.37     c3_1: $i > $o)).
% 0.18/0.37  tff(c2_1_type, type, (
% 0.18/0.37     c2_1: $i > $o)).
% 0.18/0.37  tff(c0_1_type, type, (
% 0.18/0.37     c0_1: $i > $o)).
% 0.18/0.37  tff(c1_1_type, type, (
% 0.18/0.37     c1_1: $i > $o)).
% 0.18/0.37  tff(formula1, axiom,
% 0.18/0.37      a33 = $i!val!5).
% 0.18/0.37  tff(formula2, axiom,
% 0.18/0.37      hskp0 <=> $false).
% 0.18/0.37  tff(formula3, axiom,
% 0.18/0.37      a37 = $i!val!3).
% 0.18/0.37  tff(formula4, axiom,
% 0.18/0.37      hskp9 <=> $false).
% 0.18/0.37  tff(formula5, axiom,
% 0.18/0.37      a34 = $i!val!4).
% 0.18/0.37  tff(formula6, axiom,
% 0.18/0.37      hskp2 <=> $false).
% 0.18/0.37  tff(formula7, axiom,
% 0.18/0.37      hskp1 <=> $false).
% 0.18/0.37  tff(formula8, axiom,
% 0.18/0.37      hskp12 <=> $true).
% 0.18/0.37  tff(formula9, axiom,
% 0.18/0.37      hskp11 <=> $false).
% 0.18/0.37  tff(formula10, axiom,
% 0.18/0.37      a28 = $i!val!8).
% 0.18/0.37  tff(formula11, axiom,
% 0.18/0.37      ndr1_0 <=> $true).
% 0.18/0.37  tff(formula12, axiom,
% 0.18/0.37      a27 = $i!val!9).
% 0.18/0.37  tff(formula13, axiom,
% 0.18/0.37      hskp7 <=> $true).
% 0.18/0.37  tff(formula14, axiom,
% 0.18/0.37      hskp3 <=> $false).
% 0.18/0.37  tff(formula15, axiom,
% 0.18/0.37      hskp5 <=> $false).
% 0.18/0.37  tff(formula16, axiom,
% 0.18/0.37      hskp6 <=> $true).
% 0.18/0.37  tff(formula17, axiom,
% 0.18/0.37      hskp10 <=> $false).
% 0.18/0.37  tff(formula18, axiom,
% 0.18/0.37      a31 = $i!val!6).
% 0.18/0.37  tff(formula19, axiom,
% 0.18/0.37      a36 = $i!val!10).
% 0.18/0.37  tff(formula20, axiom,
% 0.18/0.37      a26 = $i!val!1).
% 0.18/0.37  tff(formula21, axiom,
% 0.18/0.37      a29 = $i!val!7).
% 0.18/0.37  tff(formula22, axiom,
% 0.18/0.37      a35 = $i!val!11).
% 0.18/0.37  tff(formula23, axiom,
% 0.18/0.37      a25 = $i!val!2).
% 0.18/0.37  tff(formula24, axiom,
% 0.18/0.37      a32 = $i!val!0).
% 0.18/0.37  tff(formula25, axiom,
% 0.18/0.37      hskp8 <=> $false).
% 0.18/0.37  tff(formula26, axiom,
% 0.18/0.37      hskp4 <=> $false).
% 0.18/0.37  tff(formula27, axiom,
% 0.18/0.37      ![X0: $i] : (c3_1(X0) <=> (k!0(X0) = $i!val!0))).
% 0.18/0.37  tff(formula28, axiom,
% 0.18/0.37      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.18/0.37  tff(formula29, axiom,
% 0.18/0.37      k!0($i!val!6) = $i!val!6).
% 0.18/0.37  tff(formula30, axiom,
% 0.18/0.37      k!0($i!val!3) = $i!val!3).
% 0.18/0.37  tff(formula31, axiom,
% 0.18/0.37      k!0($i!val!10) = $i!val!10).
% 0.18/0.37  tff(formula32, axiom,
% 0.18/0.37      k!0($i!val!5) = $i!val!5).
% 0.18/0.37  tff(formula33, axiom,
% 0.18/0.37      k!0($i!val!8) = $i!val!8).
% 0.18/0.37  tff(formula34, axiom,
% 0.18/0.37      k!0($i!val!4) = $i!val!4).
% 0.18/0.37  tff(formula35, axiom,
% 0.18/0.37      k!0($i!val!9) = $i!val!9).
% 0.18/0.37  tff(formula36, axiom,
% 0.18/0.37      k!0($i!val!2) = $i!val!2).
% 0.18/0.37  tff(formula37, axiom,
% 0.18/0.37      k!0($i!val!1) = $i!val!1).
% 0.18/0.37  tff(formula38, axiom,
% 0.18/0.37      k!0($i!val!0) = $i!val!0).
% 0.18/0.37  tff(formula39, axiom,
% 0.18/0.37      k!0($i!val!7) = $i!val!7).
% 0.18/0.37  tff(formula40, axiom,
% 0.18/0.37      ![X0: $i] : ((~((($i!val!6 = X0)) | (($i!val!3 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!9 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!0 = X0)) | (($i!val!7 = X0)))) => (k!0(X0) = $i!val!11))).
% 0.18/0.37  tff(formula41, axiom,
% 0.18/0.37      ![X0: $i] : (c0_1(X0) <=> $false)).
% 0.18/0.37  tff(formula42, axiom,
% 0.18/0.37      ![X0: $i] : (c1_1(X0) <=> (k!0(X0) = $i!val!0))).
% 0.18/0.37  % SZS output end Model
% 0.18/0.38  % E exiting
%------------------------------------------------------------------------------