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Z3---4.15.1.CSA-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN529+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 05:39:28 AM UTC 2025

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : SYN529+1 : TPTP v9.0.0. Released v2.1.0.
% 0.01/0.12  % Command    : run_E %s %d THM
% 0.12/0.31  % Computer : n008.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Fri Jun 20 12:37:33 EDT 2025
% 0.16/0.31  % CPUTime    : 
% 0.18/0.37  % SZS status CounterSatisfiable
% 0.18/0.37  % SZS output start Model
% 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(a343_type, type, (
% 0.18/0.37     a343: $i)).
% 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(a344_type, type, (
% 0.18/0.37     a344: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_12_type, type, (
% 0.18/0.37     tptp_fun__i_val_12: $i)).
% 0.18/0.37  tff(a353_type, type, (
% 0.18/0.37     a353: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_13_type, type, (
% 0.18/0.37     tptp_fun__i_val_13: $i)).
% 0.18/0.37  tff(a354_type, type, (
% 0.18/0.37     a354: $i)).
% 0.18/0.37  tff(c1_0_type, type, (
% 0.18/0.37     c1_0: $o)).
% 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(a319_type, type, (
% 0.18/0.37     a319: $i)).
% 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(a339_type, type, (
% 0.18/0.37     a339: $i)).
% 0.18/0.37  tff(c2_0_type, type, (
% 0.18/0.37     c2_0: $o)).
% 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(a320_type, type, (
% 0.18/0.37     a320: $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(a348_type, type, (
% 0.18/0.37     a348: $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(a349_type, type, (
% 0.18/0.37     a349: $i)).
% 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(a345_type, type, (
% 0.18/0.37     a345: $i)).
% 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(a332_type, type, (
% 0.18/0.37     a332: $i)).
% 0.18/0.37  tff(c5_0_type, type, (
% 0.18/0.37     c5_0: $o)).
% 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(a338_type, type, (
% 0.18/0.37     a338: $i)).
% 0.18/0.37  tff(ndr1_0_type, type, (
% 0.18/0.37     ndr1_0: $o)).
% 0.18/0.37  tff(c3_0_type, type, (
% 0.18/0.37     c3_0: $o)).
% 0.18/0.37  tff(tptp_fun__i_val_15_type, type, (
% 0.18/0.37     tptp_fun__i_val_15: $i)).
% 0.18/0.37  tff(a356_type, type, (
% 0.18/0.37     a356: $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(a318_type, type, (
% 0.18/0.37     a318: $i)).
% 0.18/0.37  tff(c4_0_type, type, (
% 0.18/0.37     c4_0: $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(a331_type, type, (
% 0.18/0.37     a331: $i)).
% 0.18/0.37  tff(tptp_fun__i_val_14_type, type, (
% 0.18/0.37     tptp_fun__i_val_14: $i)).
% 0.18/0.37  tff(a355_type, type, (
% 0.18/0.37     a355: $i)).
% 0.18/0.37  tff(ndr1_1_type, type, (
% 0.18/0.37     ndr1_1: $i > $o)).
% 0.18/0.37  tff(c3_2_type, type, (
% 0.18/0.37     c3_2: ( $i * $i ) > $o)).
% 0.18/0.37  tff(c4_2_type, type, (
% 0.18/0.37     c4_2: ( $i * $i ) > $o)).
% 0.18/0.37  tff(c5_1_type, type, (
% 0.18/0.37     c5_1: $i > $o)).
% 0.18/0.37  tff(c5_2_type, type, (
% 0.18/0.37     c5_2: ( $i * $i ) > $o)).
% 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(c2_2_type, type, (
% 0.18/0.37     c2_2: ( $i * $i ) > $o)).
% 0.18/0.37  tff(c1_2_type, type, (
% 0.18/0.37     c1_2: ( $i * $i ) > $o)).
% 0.18/0.37  tff(c4_1_type, type, (
% 0.18/0.37     c4_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      a343 = $i!val!7).
% 0.18/0.37  tff(formula2, axiom,
% 0.18/0.37      a344 = $i!val!8).
% 0.18/0.37  tff(formula3, axiom,
% 0.18/0.37      a353 = $i!val!12).
% 0.18/0.37  tff(formula4, axiom,
% 0.18/0.37      a354 = $i!val!13).
% 0.18/0.37  tff(formula5, axiom,
% 0.18/0.37      c1_0 <=> $true).
% 0.18/0.37  tff(formula6, axiom,
% 0.18/0.37      a319 = $i!val!2).
% 0.18/0.37  tff(formula7, axiom,
% 0.18/0.37      a339 = $i!val!6).
% 0.18/0.37  tff(formula8, axiom,
% 0.18/0.37      c2_0 <=> $true).
% 0.18/0.37  tff(formula9, axiom,
% 0.18/0.37      a320 = $i!val!1).
% 0.18/0.37  tff(formula10, axiom,
% 0.18/0.37      a348 = $i!val!10).
% 0.18/0.37  tff(formula11, axiom,
% 0.18/0.37      a349 = $i!val!11).
% 0.18/0.37  tff(formula12, axiom,
% 0.18/0.37      a345 = $i!val!9).
% 0.18/0.37  tff(formula13, axiom,
% 0.18/0.37      a332 = $i!val!4).
% 0.18/0.37  tff(formula14, axiom,
% 0.18/0.37      c5_0 <=> $true).
% 0.18/0.37  tff(formula15, axiom,
% 0.18/0.37      a338 = $i!val!5).
% 0.18/0.37  tff(formula16, axiom,
% 0.18/0.37      ndr1_0 <=> $true).
% 0.18/0.37  tff(formula17, axiom,
% 0.18/0.37      c3_0 <=> $false).
% 0.18/0.37  tff(formula18, axiom,
% 0.18/0.37      a356 = $i!val!15).
% 0.18/0.37  tff(formula19, axiom,
% 0.18/0.37      a318 = $i!val!0).
% 0.18/0.37  tff(formula20, axiom,
% 0.18/0.37      c4_0 <=> $true).
% 0.18/0.37  tff(formula21, axiom,
% 0.18/0.37      a331 = $i!val!3).
% 0.18/0.37  tff(formula22, axiom,
% 0.18/0.37      a355 = $i!val!14).
% 0.18/0.37  tff(formula23, axiom,
% 0.18/0.37      ![X0: $i] : (ndr1_1(X0) <=> $true)).
% 0.18/0.37  tff(formula24, axiom,
% 0.18/0.37      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (~((X1 = $i!val!5) & (X0 = $i!val!6) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!2)))))).
% 0.18/0.37  tff(formula25, axiom,
% 0.18/0.37      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((X1 = $i!val!0) & (X0 = $i!val!2)))).
% 0.18/0.37  tff(formula26, axiom,
% 0.18/0.37      ![X0: $i] : (c5_1(X0) <=> $true)).
% 0.18/0.37  tff(formula27, axiom,
% 0.18/0.37      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.18/0.37  tff(formula28, axiom,
% 0.18/0.37      c3_1($i!val!3) <=> $true).
% 0.18/0.37  tff(formula29, axiom,
% 0.18/0.37      ![X0: $i] : ((~(($i!val!3 = X0))) => (c3_1(X0) <=> $false))).
% 0.18/0.37  tff(formula30, axiom,
% 0.18/0.37      c2_1($i!val!8) <=> $false).
% 0.18/0.37  tff(formula31, axiom,
% 0.18/0.37      ![X0: $i] : ((~(($i!val!8 = X0))) => (c2_1(X0) <=> $true))).
% 0.18/0.37  tff(formula32, axiom,
% 0.18/0.37      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)).
% 0.18/0.37  tff(formula33, axiom,
% 0.18/0.37      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (~((X1 = $i!val!8) & (X0 = $i!val!9) & (~(X0 = $i!val!2)))))).
% 0.18/0.37  tff(formula34, axiom,
% 0.18/0.37      ![X0: $i] : (c4_1(X0) <=> $true)).
% 0.18/0.37  tff(formula35, axiom,
% 0.18/0.37      ![X0: $i] : (c1_1(X0) <=> (~((~(X0 = $i!val!3)) & (~(X0 = $i!val!5)))))).
% 0.18/0.37  % SZS output end Model
% 0.18/0.38  % E exiting
%------------------------------------------------------------------------------