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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CAT020-3 : TPTP v9.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n016.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 05:00:25 AM UTC 2025

% Result   : Satisfiable 0.12s 0.38s
% Output   : Model 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT020-3 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Jun 19 11:53:32 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.12/0.38  % SZS status Satisfiable
% 0.12/0.38  % SZS output start Model
% 0.12/0.38  tff(tptp_fun__i_val_0_type, type, (
% 0.12/0.38     tptp_fun__i_val_0: $i)).
% 0.12/0.38  tff(codomain_type, type, (
% 0.12/0.38     codomain: $i > $i)).
% 0.12/0.38  tff(compose_type, type, (
% 0.12/0.38     compose: ( $i * $i ) > $i)).
% 0.12/0.38  tff(f1_type, type, (
% 0.12/0.38     f1: ( $i * $i ) > $i)).
% 0.12/0.38  tff(domain_type, type, (
% 0.12/0.38     domain: $i > $i)).
% 0.12/0.38  tff(there_exists_type, type, (
% 0.12/0.38     there_exists: $i > $o)).
% 0.12/0.38  tff(equivalent_type, type, (
% 0.12/0.38     equivalent: ( $i * $i ) > $o)).
% 0.12/0.38  tff(formula1, axiom,
% 0.12/0.38      ![X0: $i] : (codomain(X0) = $i!val!0)).
% 0.12/0.38  tff(formula2, axiom,
% 0.12/0.38      ![X0: $i, X1: $i] : (compose(X0, X1) = ite_t((X1 = codomain(X0)), X0, X1))).
% 0.12/0.38  tff(formula3, axiom,
% 0.12/0.38      ![X0: $i, X1: $i] : (f1(X0, X1) = $i!val!0)).
% 0.12/0.38  tff(formula4, axiom,
% 0.12/0.38      ![X0: $i] : (domain(X0) = $i!val!0)).
% 0.12/0.38  tff(formula5, axiom,
% 0.12/0.38      ![X0: $i] : (there_exists(X0) <=> $false)).
% 0.12/0.38  tff(formula6, axiom,
% 0.12/0.38      ![X0: $i, X1: $i] : (equivalent(X0, X1) <=> $false)).
% 0.12/0.38  % SZS output end Model
% 0.12/0.38  % E exiting
%------------------------------------------------------------------------------