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Z3---4.15.1.CSA-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN523+1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n002.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 05:39:27 AM UTC 2025

% Result   : CounterSatisfiable 0.20s 0.37s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN523+1 : TPTP v9.0.0. Released v2.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Jun 20 12:39:16 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.20/0.37  % SZS status CounterSatisfiable
% 0.20/0.37  % SZS output start Model
% 0.20/0.37  tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.37     tptp_fun__i_val_6: $i)).
% 0.20/0.37  tff(a152_type, type, (
% 0.20/0.37     a152: $i)).
% 0.20/0.37  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.37     tptp_fun__i_val_4: $i)).
% 0.20/0.37  tff(a150_type, type, (
% 0.20/0.37     a150: $i)).
% 0.20/0.37  tff(c1_0_type, type, (
% 0.20/0.37     c1_0: $o)).
% 0.20/0.37  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.37     tptp_fun__i_val_5: $i)).
% 0.20/0.37  tff(a151_type, type, (
% 0.20/0.37     a151: $i)).
% 0.20/0.37  tff(ndr1_0_type, type, (
% 0.20/0.37     ndr1_0: $o)).
% 0.20/0.37  tff(c2_0_type, type, (
% 0.20/0.37     c2_0: $o)).
% 0.20/0.37  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.37     tptp_fun__i_val_3: $i)).
% 0.20/0.37  tff(a148_type, type, (
% 0.20/0.37     a148: $i)).
% 0.20/0.37  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.37     tptp_fun__i_val_0: $i)).
% 0.20/0.37  tff(a143_type, type, (
% 0.20/0.37     a143: $i)).
% 0.20/0.37  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.37     tptp_fun__i_val_2: $i)).
% 0.20/0.37  tff(a146_type, type, (
% 0.20/0.37     a146: $i)).
% 0.20/0.37  tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.37     tptp_fun__i_val_7: $i)).
% 0.20/0.37  tff(a154_type, type, (
% 0.20/0.37     a154: $i)).
% 0.20/0.37  tff(c4_0_type, type, (
% 0.20/0.37     c4_0: $o)).
% 0.20/0.37  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.37     tptp_fun__i_val_1: $i)).
% 0.20/0.37  tff(a145_type, type, (
% 0.20/0.37     a145: $i)).
% 0.20/0.37  tff(c3_1_type, type, (
% 0.20/0.37     c3_1: $i > $o)).
% 0.20/0.37  tff(c2_1_type, type, (
% 0.20/0.37     c2_1: $i > $o)).
% 0.20/0.37  tff(c2_2_type, type, (
% 0.20/0.37     c2_2: ( $i * $i ) > $o)).
% 0.20/0.37  tff(ndr1_1_type, type, (
% 0.20/0.37     ndr1_1: $i > $o)).
% 0.20/0.37  tff(c4_2_type, type, (
% 0.20/0.37     c4_2: ( $i * $i ) > $o)).
% 0.20/0.37  tff(c1_2_type, type, (
% 0.20/0.37     c1_2: ( $i * $i ) > $o)).
% 0.20/0.37  tff(c4_1_type, type, (
% 0.20/0.37     c4_1: $i > $o)).
% 0.20/0.37  tff(c5_1_type, type, (
% 0.20/0.37     c5_1: $i > $o)).
% 0.20/0.37  tff(c5_2_type, type, (
% 0.20/0.37     c5_2: ( $i * $i ) > $o)).
% 0.20/0.37  tff(c1_1_type, type, (
% 0.20/0.37     c1_1: $i > $o)).
% 0.20/0.37  tff(formula1, axiom,
% 0.20/0.37      a152 = $i!val!6).
% 0.20/0.37  tff(formula2, axiom,
% 0.20/0.37      a150 = $i!val!4).
% 0.20/0.37  tff(formula3, axiom,
% 0.20/0.37      c1_0 <=> $false).
% 0.20/0.37  tff(formula4, axiom,
% 0.20/0.37      a151 = $i!val!5).
% 0.20/0.37  tff(formula5, axiom,
% 0.20/0.37      ndr1_0 <=> $true).
% 0.20/0.37  tff(formula6, axiom,
% 0.20/0.37      c2_0 <=> $true).
% 0.20/0.37  tff(formula7, axiom,
% 0.20/0.37      a148 = $i!val!3).
% 0.20/0.37  tff(formula8, axiom,
% 0.20/0.37      a143 = $i!val!0).
% 0.20/0.37  tff(formula9, axiom,
% 0.20/0.37      a146 = $i!val!2).
% 0.20/0.37  tff(formula10, axiom,
% 0.20/0.37      a154 = $i!val!7).
% 0.20/0.37  tff(formula11, axiom,
% 0.20/0.37      c4_0 <=> $false).
% 0.20/0.37  tff(formula12, axiom,
% 0.20/0.37      a145 = $i!val!1).
% 0.20/0.37  tff(formula13, axiom,
% 0.20/0.37      c3_1($i!val!1) <=> $true).
% 0.20/0.37  tff(formula14, axiom,
% 0.20/0.37      c3_1($i!val!6) <=> $true).
% 0.20/0.37  tff(formula15, axiom,
% 0.20/0.37      ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!6 = X0)))) => (c3_1(X0) <=> $false))).
% 0.20/0.37  tff(formula16, axiom,
% 0.20/0.37      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.20/0.37  tff(formula17, axiom,
% 0.20/0.37      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.20/0.37  tff(formula18, axiom,
% 0.20/0.37      ![X0: $i] : (ndr1_1(X0) <=> $true)).
% 0.20/0.37  tff(formula19, axiom,
% 0.20/0.37      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.20/0.37  tff(formula20, axiom,
% 0.20/0.37      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.37  tff(formula21, axiom,
% 0.20/0.37      c4_1($i!val!2) <=> $true).
% 0.20/0.37  tff(formula22, axiom,
% 0.20/0.37      ![X0: $i] : ((~(($i!val!2 = X0))) => (c4_1(X0) <=> $false))).
% 0.20/0.37  tff(formula23, axiom,
% 0.20/0.37      c5_1($i!val!3) <=> $true).
% 0.20/0.37  tff(formula24, axiom,
% 0.20/0.37      ![X0: $i] : ((~(($i!val!3 = X0))) => (c5_1(X0) <=> $false))).
% 0.20/0.37  tff(formula25, axiom,
% 0.20/0.37      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $true)).
% 0.20/0.37  tff(formula26, axiom,
% 0.20/0.37      c1_1($i!val!7) <=> $true).
% 0.20/0.37  tff(formula27, axiom,
% 0.20/0.37      ![X0: $i] : ((~(($i!val!7 = X0))) => (c1_1(X0) <=> $false))).
% 0.20/0.38  % SZS output end Model
% 0.20/0.38  % E exiting
%------------------------------------------------------------------------------