TSTP Solution File: SYN552-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN552-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n025.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 : Thu Sep 29 23:56:23 EDT 2022

% Result   : Satisfiable 0.19s 0.38s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN552-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n025.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 : Mon Sep  5 05:48:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 0.19/0.38  % SZS status Satisfiable
% 0.19/0.38  % SZS output start Model
% 0.19/0.38  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.38     tptp_fun__i_val_0: $i)).
% 0.19/0.38  tff(b_type, type, (
% 0.19/0.38     b: $i)).
% 0.19/0.38  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.38     tptp_fun__i_val_2: $i)).
% 0.19/0.38  tff(a_type, type, (
% 0.19/0.38     a: $i)).
% 0.19/0.38  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.38     tptp_fun__i_val_4: $i)).
% 0.19/0.38  tff(f_type, type, (
% 0.19/0.38     f: ( $i * $i ) > $i)).
% 0.19/0.38  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.38     tptp_fun__i_val_3: $i)).
% 0.19/0.38  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.38     tptp_fun__i_val_1: $i)).
% 0.19/0.38  tff(g_type, type, (
% 0.19/0.38     g: $i > $i)).
% 0.19/0.38  tff(formula1, axiom,
% 0.19/0.38      b = $i!val!0).
% 0.19/0.38  tff(formula2, axiom,
% 0.19/0.38      a = $i!val!2).
% 0.19/0.38  tff(formula3, axiom,
% 0.19/0.38      f($i!val!3, $i!val!2) = $i!val!4).
% 0.19/0.38  tff(formula4, axiom,
% 0.19/0.38      ![X0: $i, X1: $i] : ((~(($i!val!3 = X0) & ($i!val!2 = X1))) => (f(X0, X1) = $i!val!1))).
% 0.19/0.38  tff(formula5, axiom,
% 0.19/0.38      ![X0: $i] : (g(X0) = ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!0) = $i!val!2), $i!val!3, ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!0) = $i!val!0), $i!val!3, $i!val!0)))).
% 0.19/0.38  % SZS output end Model
%------------------------------------------------------------------------------