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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN527-1 : 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 05:39:28 AM UTC 2025

% Result   : Satisfiable 0.18s 0.40s
% Output   : Model 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN527-1 : TPTP v9.0.0. Released v2.1.0.
% 0.06/0.11  % 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
% 0.11/0.32  % CPUTime    : 
% 0.18/0.40  % SZS status Satisfiable
% 0.18/0.40  % SZS output start Model
% 0.18/0.40  tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.40     tptp_fun__i_val_0: $i)).
% 0.18/0.40  tff(a251_type, type, (
% 0.18/0.40     a251: $i)).
% 0.18/0.40  tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.40     tptp_fun__i_val_1: $i)).
% 0.18/0.40  tff(a264_type, type, (
% 0.18/0.40     a264: $i)).
% 0.18/0.40  tff(c1_0_type, type, (
% 0.18/0.40     c1_0: $o)).
% 0.18/0.40  tff(a261_type, type, (
% 0.18/0.40     a261: $i)).
% 0.18/0.40  tff(a269_type, type, (
% 0.18/0.40     a269: $i)).
% 0.18/0.40  tff(c2_0_type, type, (
% 0.18/0.40     c2_0: $o)).
% 0.18/0.40  tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.40     tptp_fun__i_val_4: $i)).
% 0.18/0.40  tff(a254_type, type, (
% 0.18/0.40     a254: $i)).
% 0.18/0.40  tff(a276_type, type, (
% 0.18/0.40     a276: $i)).
% 0.18/0.40  tff(a275_type, type, (
% 0.18/0.40     a275: $i)).
% 0.18/0.40  tff(a271_type, type, (
% 0.18/0.40     a271: $i)).
% 0.18/0.40  tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.40     tptp_fun__i_val_6: $i)).
% 0.18/0.40  tff(a270_type, type, (
% 0.18/0.40     a270: $i)).
% 0.18/0.40  tff(ssSkC1_type, type, (
% 0.18/0.40     ssSkC1: $o)).
% 0.18/0.40  tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.40     tptp_fun__i_val_3: $i)).
% 0.18/0.40  tff(a265_type, type, (
% 0.18/0.40     a265: $i)).
% 0.18/0.40  tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.40     tptp_fun__i_val_5: $i)).
% 0.18/0.40  tff(a272_type, type, (
% 0.18/0.40     a272: $i)).
% 0.18/0.40  tff(c5_0_type, type, (
% 0.18/0.40     c5_0: $o)).
% 0.18/0.40  tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.40     tptp_fun__i_val_2: $i)).
% 0.18/0.40  tff(a256_type, type, (
% 0.18/0.40     a256: $i)).
% 0.18/0.40  tff(ssSkC0_type, type, (
% 0.18/0.40     ssSkC0: $o)).
% 0.18/0.40  tff(ndr1_0_type, type, (
% 0.18/0.40     ndr1_0: $o)).
% 0.18/0.40  tff(c3_0_type, type, (
% 0.18/0.40     c3_0: $o)).
% 0.18/0.40  tff(a255_type, type, (
% 0.18/0.40     a255: $i)).
% 0.18/0.40  tff(a258_type, type, (
% 0.18/0.40     a258: $i)).
% 0.18/0.40  tff(c4_0_type, type, (
% 0.18/0.40     c4_0: $o)).
% 0.18/0.40  tff(a273_type, type, (
% 0.18/0.40     a273: $i)).
% 0.18/0.40  tff(c1_1_type, type, (
% 0.18/0.40     c1_1: $i > $o)).
% 0.18/0.40  tff(ndr1_1_type, type, (
% 0.18/0.40     ndr1_1: $i > $o)).
% 0.18/0.40  tff(c3_2_type, type, (
% 0.18/0.40     c3_2: ( $i * $i ) > $o)).
% 0.18/0.40  tff(c4_2_type, type, (
% 0.18/0.40     c4_2: ( $i * $i ) > $o)).
% 0.18/0.40  tff(c5_1_type, type, (
% 0.18/0.40     c5_1: $i > $o)).
% 0.18/0.40  tff(ssSkP0_type, type, (
% 0.18/0.40     ssSkP0: $i > $o)).
% 0.18/0.40  tff(c5_2_type, type, (
% 0.18/0.40     c5_2: ( $i * $i ) > $o)).
% 0.18/0.40  tff(c2_1_type, type, (
% 0.18/0.40     c2_1: $i > $o)).
% 0.18/0.40  tff(c3_1_type, type, (
% 0.18/0.40     c3_1: $i > $o)).
% 0.18/0.40  tff(c2_2_type, type, (
% 0.18/0.40     c2_2: ( $i * $i ) > $o)).
% 0.18/0.40  tff(c1_2_type, type, (
% 0.18/0.40     c1_2: ( $i * $i ) > $o)).
% 0.18/0.40  tff(c4_1_type, type, (
% 0.18/0.40     c4_1: $i > $o)).
% 0.18/0.40  tff(ssSkP1_type, type, (
% 0.18/0.40     ssSkP1: $i > $o)).
% 0.18/0.40  tff(formula1, axiom,
% 0.18/0.40      a251 = $i!val!0).
% 0.18/0.40  tff(formula2, axiom,
% 0.18/0.40      a264 = $i!val!1).
% 0.18/0.40  tff(formula3, axiom,
% 0.18/0.40      c1_0 <=> $false).
% 0.18/0.40  tff(formula4, axiom,
% 0.18/0.40      a261 = $i!val!1).
% 0.18/0.40  tff(formula5, axiom,
% 0.18/0.40      a269 = $i!val!1).
% 0.18/0.40  tff(formula6, axiom,
% 0.18/0.40      c2_0 <=> $false).
% 0.18/0.40  tff(formula7, axiom,
% 0.18/0.40      a254 = $i!val!4).
% 0.18/0.40  tff(formula8, axiom,
% 0.18/0.40      a276 = $i!val!1).
% 0.18/0.40  tff(formula9, axiom,
% 0.18/0.40      a275 = $i!val!1).
% 0.18/0.40  tff(formula10, axiom,
% 0.18/0.40      a271 = $i!val!1).
% 0.18/0.40  tff(formula11, axiom,
% 0.18/0.40      a270 = $i!val!6).
% 0.18/0.40  tff(formula12, axiom,
% 0.18/0.40      ssSkC1 <=> $true).
% 0.18/0.40  tff(formula13, axiom,
% 0.18/0.40      a265 = $i!val!3).
% 0.18/0.40  tff(formula14, axiom,
% 0.18/0.40      a272 = $i!val!5).
% 0.18/0.40  tff(formula15, axiom,
% 0.18/0.40      c5_0 <=> $true).
% 0.18/0.40  tff(formula16, axiom,
% 0.18/0.40      a256 = $i!val!2).
% 0.18/0.40  tff(formula17, axiom,
% 0.18/0.40      ssSkC0 <=> $false).
% 0.18/0.40  tff(formula18, axiom,
% 0.18/0.40      ndr1_0 <=> $true).
% 0.18/0.40  tff(formula19, axiom,
% 0.18/0.40      c3_0 <=> $false).
% 0.18/0.40  tff(formula20, axiom,
% 0.18/0.40      a255 = $i!val!1).
% 0.18/0.40  tff(formula21, axiom,
% 0.18/0.40      a258 = $i!val!1).
% 0.18/0.40  tff(formula22, axiom,
% 0.18/0.40      c4_0 <=> $true).
% 0.18/0.40  tff(formula23, axiom,
% 0.18/0.40      a273 = $i!val!1).
% 0.18/0.40  tff(formula24, axiom,
% 0.18/0.40      ![X0: $i] : (c1_1(X0) <=> $true)).
% 0.18/0.40  tff(formula25, axiom,
% 0.18/0.40      ![X0: $i] : (ndr1_1(X0) <=> $true)).
% 0.18/0.40  tff(formula26, axiom,
% 0.18/0.40      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $true)).
% 0.18/0.40  tff(formula27, axiom,
% 0.18/0.40      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $true)).
% 0.18/0.40  tff(formula28, axiom,
% 0.18/0.40      ![X0: $i] : (c5_1(X0) <=> (~((X0 = $i!val!1) & (~(X0 = $i!val!6)))))).
% 0.18/0.40  tff(formula29, axiom,
% 0.18/0.40      ![X0: $i] : (ssSkP0(X0) <=> ((X0 = $i!val!2) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!6))))).
% 0.18/0.40  tff(formula30, axiom,
% 0.18/0.40      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $true)).
% 0.18/0.40  tff(formula31, axiom,
% 0.18/0.40      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.18/0.40  tff(formula32, axiom,
% 0.18/0.40      ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.18/0.40  tff(formula33, axiom,
% 0.18/0.40      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.18/0.40  tff(formula34, axiom,
% 0.18/0.40      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.18/0.40  tff(formula35, axiom,
% 0.18/0.40      ![X0: $i] : (c4_1(X0) <=> $false)).
% 0.18/0.40  tff(formula36, axiom,
% 0.18/0.40      ![X0: $i] : (ssSkP1(X0) <=> $false)).
% 0.18/0.40  % SZS output end Model
% 0.18/0.40  % E exiting
%------------------------------------------------------------------------------