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Z3---4.15.1.CSA-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN530+1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n009.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 05:39:29 AM UTC 2025

% Result   : CounterSatisfiable 0.11s 0.38s
% Output   : Model 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN530+1 : TPTP v9.0.0. Released v2.1.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n009.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 12:37:18 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.11/0.38  % SZS status CounterSatisfiable
% 0.11/0.38  % SZS output start Model
% 0.11/0.38  tff(c1_0_type, type, (
% 0.11/0.38     c1_0: $o)).
% 0.11/0.38  tff(tptp_fun__i_val_2_type, type, (
% 0.11/0.38     tptp_fun__i_val_2: $i)).
% 0.11/0.38  tff(a371_type, type, (
% 0.11/0.38     a371: $i)).
% 0.11/0.38  tff(c2_0_type, type, (
% 0.11/0.38     c2_0: $o)).
% 0.11/0.38  tff(tptp_fun__i_val_0_type, type, (
% 0.11/0.38     tptp_fun__i_val_0: $i)).
% 0.11/0.38  tff(a359_type, type, (
% 0.11/0.38     a359: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_9_type, type, (
% 0.11/0.38     tptp_fun__i_val_9: $i)).
% 0.11/0.38  tff(a384_type, type, (
% 0.11/0.38     a384: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_10_type, type, (
% 0.11/0.38     tptp_fun__i_val_10: $i)).
% 0.11/0.38  tff(a385_type, type, (
% 0.11/0.38     a385: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_3_type, type, (
% 0.11/0.38     tptp_fun__i_val_3: $i)).
% 0.11/0.38  tff(a372_type, type, (
% 0.11/0.38     a372: $i)).
% 0.11/0.38  tff(c5_0_type, type, (
% 0.11/0.38     c5_0: $o)).
% 0.11/0.38  tff(tptp_fun__i_val_5_type, type, (
% 0.11/0.38     tptp_fun__i_val_5: $i)).
% 0.11/0.38  tff(a377_type, type, (
% 0.11/0.38     a377: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_6_type, type, (
% 0.11/0.38     tptp_fun__i_val_6: $i)).
% 0.11/0.38  tff(a378_type, type, (
% 0.11/0.38     a378: $i)).
% 0.11/0.38  tff(ndr1_0_type, type, (
% 0.11/0.38     ndr1_0: $o)).
% 0.11/0.38  tff(tptp_fun__i_val_4_type, type, (
% 0.11/0.38     tptp_fun__i_val_4: $i)).
% 0.11/0.38  tff(a373_type, type, (
% 0.11/0.38     a373: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_8_type, type, (
% 0.11/0.38     tptp_fun__i_val_8: $i)).
% 0.11/0.38  tff(a383_type, type, (
% 0.11/0.38     a383: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_1_type, type, (
% 0.11/0.38     tptp_fun__i_val_1: $i)).
% 0.11/0.38  tff(a369_type, type, (
% 0.11/0.38     a369: $i)).
% 0.11/0.38  tff(tptp_fun__i_val_11_type, type, (
% 0.11/0.38     tptp_fun__i_val_11: $i)).
% 0.11/0.38  tff(a386_type, type, (
% 0.11/0.38     a386: $i)).
% 0.11/0.38  tff(c4_0_type, type, (
% 0.11/0.38     c4_0: $o)).
% 0.11/0.38  tff(tptp_fun__i_val_7_type, type, (
% 0.11/0.38     tptp_fun__i_val_7: $i)).
% 0.11/0.38  tff(a379_type, type, (
% 0.11/0.38     a379: $i)).
% 0.11/0.38  tff(c3_1_type, type, (
% 0.11/0.38     c3_1: $i > $o)).
% 0.11/0.38  tff(ndr1_1_type, type, (
% 0.11/0.38     ndr1_1: $i > $o)).
% 0.11/0.38  tff(c2_2_type, type, (
% 0.11/0.38     c2_2: ( $i * $i ) > $o)).
% 0.11/0.38  tff(c4_2_type, type, (
% 0.11/0.38     c4_2: ( $i * $i ) > $o)).
% 0.11/0.38  tff(c4_1_type, type, (
% 0.11/0.38     c4_1: $i > $o)).
% 0.11/0.38  tff(c1_2_type, type, (
% 0.11/0.38     c1_2: ( $i * $i ) > $o)).
% 0.11/0.38  tff(c5_1_type, type, (
% 0.11/0.38     c5_1: $i > $o)).
% 0.11/0.38  tff(c5_2_type, type, (
% 0.11/0.38     c5_2: ( $i * $i ) > $o)).
% 0.11/0.38  tff(c1_1_type, type, (
% 0.11/0.38     c1_1: $i > $o)).
% 0.11/0.38  tff(formula1, axiom,
% 0.11/0.38      c1_0 <=> $false).
% 0.11/0.38  tff(formula2, axiom,
% 0.11/0.38      a371 = $i!val!2).
% 0.11/0.38  tff(formula3, axiom,
% 0.11/0.38      c2_0 <=> $false).
% 0.11/0.38  tff(formula4, axiom,
% 0.11/0.38      a359 = $i!val!0).
% 0.11/0.38  tff(formula5, axiom,
% 0.11/0.38      a384 = $i!val!9).
% 0.11/0.38  tff(formula6, axiom,
% 0.11/0.38      a385 = $i!val!10).
% 0.11/0.38  tff(formula7, axiom,
% 0.11/0.38      a372 = $i!val!3).
% 0.11/0.38  tff(formula8, axiom,
% 0.11/0.38      c5_0 <=> $true).
% 0.11/0.38  tff(formula9, axiom,
% 0.11/0.38      a377 = $i!val!5).
% 0.11/0.38  tff(formula10, axiom,
% 0.11/0.38      a378 = $i!val!6).
% 0.11/0.38  tff(formula11, axiom,
% 0.11/0.38      ndr1_0 <=> $true).
% 0.11/0.38  tff(formula12, axiom,
% 0.11/0.38      a373 = $i!val!4).
% 0.11/0.38  tff(formula13, axiom,
% 0.11/0.38      a383 = $i!val!8).
% 0.11/0.38  tff(formula14, axiom,
% 0.11/0.38      a369 = $i!val!1).
% 0.11/0.38  tff(formula15, axiom,
% 0.11/0.38      a386 = $i!val!11).
% 0.11/0.38  tff(formula16, axiom,
% 0.11/0.38      c4_0 <=> $true).
% 0.11/0.38  tff(formula17, axiom,
% 0.11/0.38      a379 = $i!val!7).
% 0.11/0.38  tff(formula18, axiom,
% 0.11/0.38      c3_1($i!val!5) <=> $true).
% 0.11/0.38  tff(formula19, axiom,
% 0.11/0.38      c3_1($i!val!6) <=> $true).
% 0.11/0.38  tff(formula20, axiom,
% 0.11/0.38      c3_1($i!val!11) <=> $true).
% 0.11/0.38  tff(formula21, axiom,
% 0.11/0.38      ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!6 = X0)) | (($i!val!11 = X0)))) => (c3_1(X0) <=> $false))).
% 0.11/0.38  tff(formula22, axiom,
% 0.11/0.38      ![X0: $i] : (ndr1_1(X0) <=> $true)).
% 0.11/0.38  tff(formula23, axiom,
% 0.11/0.38      c2_2($i!val!2, $i!val!3) <=> $false).
% 0.11/0.38  tff(formula24, axiom,
% 0.11/0.38      ![X0: $i, X1: $i] : ((~(($i!val!2 = X0) & ($i!val!3 = X1))) => (c2_2(X0, X1) <=> $true))).
% 0.11/0.38  tff(formula25, axiom,
% 0.11/0.38      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (~((X1 = $i!val!6) & (X0 = $i!val!7) & (~(X0 = $i!val!4)))))).
% 0.11/0.38  tff(formula26, axiom,
% 0.11/0.38      ![X0: $i] : (c4_1(X0) <=> $true)).
% 0.11/0.38  tff(formula27, axiom,
% 0.11/0.38      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.11/0.38  tff(formula28, axiom,
% 0.11/0.38      c5_1($i!val!10) <=> $true).
% 0.11/0.38  tff(formula29, axiom,
% 0.11/0.38      ![X0: $i] : ((~(($i!val!10 = X0))) => (c5_1(X0) <=> $false))).
% 0.11/0.38  tff(formula30, axiom,
% 0.11/0.38      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.11/0.38  tff(formula31, axiom,
% 0.11/0.38      c1_1($i!val!8) <=> $true).
% 0.11/0.38  tff(formula32, axiom,
% 0.11/0.38      ![X0: $i] : ((~(($i!val!8 = X0))) => (c1_1(X0) <=> $false))).
% 0.11/0.38  % SZS output end Model
% 0.11/0.38  % E exiting
%------------------------------------------------------------------------------