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Z3---4.15.1.CSA-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN534+1 : TPTP v9.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n004.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 05:39:30 AM UTC 2025

% Result   : CounterSatisfiable 0.20s 0.39s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN534+1 : TPTP v9.0.0. Released v2.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n004.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 12:37:23 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.20/0.39  % SZS status CounterSatisfiable
% 0.20/0.39  % SZS output start Model
% 0.20/0.39  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.39     tptp_fun__i_val_1: $i)).
% 0.20/0.39  tff(a474_type, type, (
% 0.20/0.39     a474: $i)).
% 0.20/0.39  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.39     tptp_fun__i_val_4: $i)).
% 0.20/0.39  tff(a486_type, type, (
% 0.20/0.39     a486: $i)).
% 0.20/0.39  tff(c5_0_type, type, (
% 0.20/0.39     c5_0: $o)).
% 0.20/0.39  tff(c1_0_type, type, (
% 0.20/0.39     c1_0: $o)).
% 0.20/0.39  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.39     tptp_fun__i_val_5: $i)).
% 0.20/0.39  tff(a491_type, type, (
% 0.20/0.39     a491: $i)).
% 0.20/0.39  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.39     tptp_fun__i_val_0: $i)).
% 0.20/0.39  tff(a471_type, type, (
% 0.20/0.39     a471: $i)).
% 0.20/0.39  tff(ndr1_0_type, type, (
% 0.20/0.39     ndr1_0: $o)).
% 0.20/0.39  tff(c2_0_type, type, (
% 0.20/0.39     c2_0: $o)).
% 0.20/0.39  tff(c3_0_type, type, (
% 0.20/0.39     c3_0: $o)).
% 0.20/0.39  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.39     tptp_fun__i_val_3: $i)).
% 0.20/0.39  tff(a485_type, type, (
% 0.20/0.39     a485: $i)).
% 0.20/0.39  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.39     tptp_fun__i_val_2: $i)).
% 0.20/0.39  tff(a475_type, type, (
% 0.20/0.39     a475: $i)).
% 0.20/0.39  tff(c1_1_type, type, (
% 0.20/0.39     c1_1: $i > $o)).
% 0.20/0.39  tff(ndr1_1_type, type, (
% 0.20/0.39     ndr1_1: $i > $o)).
% 0.20/0.39  tff(c3_2_type, type, (
% 0.20/0.39     c3_2: ( $i * $i ) > $o)).
% 0.20/0.39  tff(c4_2_type, type, (
% 0.20/0.39     c4_2: ( $i * $i ) > $o)).
% 0.20/0.39  tff(c5_1_type, type, (
% 0.20/0.39     c5_1: $i > $o)).
% 0.20/0.39  tff(c5_2_type, type, (
% 0.20/0.39     c5_2: ( $i * $i ) > $o)).
% 0.20/0.39  tff(c2_1_type, type, (
% 0.20/0.39     c2_1: $i > $o)).
% 0.20/0.39  tff(c3_1_type, type, (
% 0.20/0.39     c3_1: $i > $o)).
% 0.20/0.39  tff(c2_2_type, type, (
% 0.20/0.39     c2_2: ( $i * $i ) > $o)).
% 0.20/0.39  tff(c4_1_type, type, (
% 0.20/0.39     c4_1: $i > $o)).
% 0.20/0.39  tff(c1_2_type, type, (
% 0.20/0.39     c1_2: ( $i * $i ) > $o)).
% 0.20/0.39  tff(formula1, axiom,
% 0.20/0.39      a474 = $i!val!1).
% 0.20/0.39  tff(formula2, axiom,
% 0.20/0.39      a486 = $i!val!4).
% 0.20/0.39  tff(formula3, axiom,
% 0.20/0.39      c5_0 <=> $false).
% 0.20/0.39  tff(formula4, axiom,
% 0.20/0.39      c1_0 <=> $true).
% 0.20/0.39  tff(formula5, axiom,
% 0.20/0.39      a491 = $i!val!5).
% 0.20/0.39  tff(formula6, axiom,
% 0.20/0.39      a471 = $i!val!0).
% 0.20/0.39  tff(formula7, axiom,
% 0.20/0.39      ndr1_0 <=> $true).
% 0.20/0.39  tff(formula8, axiom,
% 0.20/0.39      c2_0 <=> $false).
% 0.20/0.39  tff(formula9, axiom,
% 0.20/0.39      c3_0 <=> $false).
% 0.20/0.39  tff(formula10, axiom,
% 0.20/0.39      a485 = $i!val!3).
% 0.20/0.39  tff(formula11, axiom,
% 0.20/0.39      a475 = $i!val!2).
% 0.20/0.39  tff(formula12, axiom,
% 0.20/0.39      ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.20/0.39  tff(formula13, axiom,
% 0.20/0.39      ![X0: $i] : (ndr1_1(X0) <=> $true)).
% 0.20/0.39  tff(formula14, axiom,
% 0.20/0.39      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $true)).
% 0.20/0.39  tff(formula15, axiom,
% 0.20/0.39      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $true)).
% 0.20/0.39  tff(formula16, axiom,
% 0.20/0.39      ![X0: $i] : (c5_1(X0) <=> $true)).
% 0.20/0.39  tff(formula17, axiom,
% 0.20/0.39      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!2))))).
% 0.20/0.39  tff(formula18, axiom,
% 0.20/0.39      ![X0: $i] : (c2_1(X0) <=> (~(X0 = $i!val!0)))).
% 0.20/0.39  tff(formula19, axiom,
% 0.20/0.39      ![X0: $i] : (c3_1(X0) <=> $true)).
% 0.20/0.39  tff(formula20, axiom,
% 0.20/0.39      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)).
% 0.20/0.39  tff(formula21, axiom,
% 0.20/0.39      ![X0: $i] : (c4_1(X0) <=> (~(X0 = $i!val!0)))).
% 0.20/0.39  tff(formula22, axiom,
% 0.20/0.39      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.39  % SZS output end Model
% 0.20/0.39  % E exiting
%------------------------------------------------------------------------------