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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYN342-10 : TPTP v9.0.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n010.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 05:38:49 AM UTC 2025

% Result   : Satisfiable 0.19s 0.36s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN342-10 : TPTP v9.0.0. Released v7.5.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n010.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 12:32:57 EDT 2025
% 0.11/0.32  % CPUTime    : 
% 0.19/0.36  % SZS status Satisfiable
% 0.19/0.36  % SZS output start Model
% 0.19/0.36  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.36     tptp_fun__i_val_0: $i)).
% 0.19/0.36  tff(a_type, type, (
% 0.19/0.36     a: $i)).
% 0.19/0.36  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.36     tptp_fun__i_val_3: $i)).
% 0.19/0.36  tff(true_type, type, (
% 0.19/0.36     true: $i)).
% 0.19/0.36  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.36     tptp_fun__i_val_6: $i)).
% 0.19/0.36  tff(f_type, type, (
% 0.19/0.36     f: ( $i * $i * $i ) > $i)).
% 0.19/0.36  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.36     tptp_fun__i_val_2: $i)).
% 0.19/0.36  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.36     tptp_fun__i_val_5: $i)).
% 0.19/0.36  tff(y3_type, type, (
% 0.19/0.36     y3: $i > $i)).
% 0.19/0.36  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.36     tptp_fun__i_val_4: $i)).
% 0.19/0.36  tff(formula1, axiom,
% 0.19/0.36      a = $i!val!0).
% 0.19/0.36  tff(formula2, axiom,
% 0.19/0.36      true = $i!val!3).
% 0.19/0.36  tff(formula3, axiom,
% 0.19/0.36      f($i!val!0, $i!val!0, $i!val!0) = $i!val!6).
% 0.19/0.36  tff(formula4, axiom,
% 0.19/0.36      ![X0: $i, X1: $i, X2: $i] : ((~(($i!val!0 = X0) & ($i!val!0 = X1) & ($i!val!0 = X2))) => (f(X0, X1, X2) = ite_t(((~(X2 = $i!val!0)) & (~(X1 = $i!val!0)) & (X0 = $i!val!0)), $i!val!2, $i!val!3)))).
% 0.19/0.36  tff(formula5, axiom,
% 0.19/0.36      y3($i!val!0) = $i!val!5).
% 0.19/0.36  tff(formula6, axiom,
% 0.19/0.36      ![X0: $i] : ((~(($i!val!0 = X0))) => (y3(X0) = $i!val!4))).
% 0.19/0.36  % SZS output end Model
% 0.19/0.36  % E exiting
%------------------------------------------------------------------------------