TSTP Solution File: SYN491-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN491-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n008.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 23:55:54 EDT 2022

% Result   : Satisfiable 0.19s 0.41s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN491-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Sep  5 04:35:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.19/0.41  % SZS status Satisfiable
% 0.19/0.41  % SZS output start Model
% 0.19/0.41  tff(hskp2_type, type, (
% 0.19/0.41     hskp2: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.41     tptp_fun__i_val_2: $i)).
% 0.19/0.41  tff(a16_type, type, (
% 0.19/0.41     a16: $i)).
% 0.19/0.41  tff(hskp5_type, type, (
% 0.19/0.41     hskp5: $o)).
% 0.19/0.41  tff(ndr1_0_type, type, (
% 0.19/0.41     ndr1_0: $o)).
% 0.19/0.41  tff(hskp4_type, type, (
% 0.19/0.41     hskp4: $o)).
% 0.19/0.41  tff(hskp3_type, type, (
% 0.19/0.41     hskp3: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.41     tptp_fun__i_val_0: $i)).
% 0.19/0.41  tff(a24_type, type, (
% 0.19/0.41     a24: $i)).
% 0.19/0.41  tff(hskp8_type, type, (
% 0.19/0.41     hskp8: $o)).
% 0.19/0.41  tff(hskp7_type, type, (
% 0.19/0.41     hskp7: $o)).
% 0.19/0.41  tff(hskp0_type, type, (
% 0.19/0.41     hskp0: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.41     tptp_fun__i_val_4: $i)).
% 0.19/0.41  tff(a21_type, type, (
% 0.19/0.41     a21: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.41     tptp_fun__i_val_3: $i)).
% 0.19/0.41  tff(a22_type, type, (
% 0.19/0.41     a22: $i)).
% 0.19/0.41  tff(hskp6_type, type, (
% 0.19/0.41     hskp6: $o)).
% 0.19/0.41  tff(hskp1_type, type, (
% 0.19/0.41     hskp1: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.41     tptp_fun__i_val_1: $i)).
% 0.19/0.41  tff(a18_type, type, (
% 0.19/0.41     a18: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.41     tptp_fun__i_val_5: $i)).
% 0.19/0.41  tff(a23_type, type, (
% 0.19/0.41     a23: $i)).
% 0.19/0.41  tff(c1_1_type, type, (
% 0.19/0.41     c1_1: $i > $o)).
% 0.19/0.41  tff(c0_1_type, type, (
% 0.19/0.41     c0_1: $i > $o)).
% 0.19/0.41  tff(c3_1_type, type, (
% 0.19/0.41     c3_1: $i > $o)).
% 0.19/0.41  tff(c2_1_type, type, (
% 0.19/0.41     c2_1: $i > $o)).
% 0.19/0.41  tff(formula1, axiom,
% 0.19/0.41      hskp2 <=> $false).
% 0.19/0.41  tff(formula2, axiom,
% 0.19/0.41      a16 = $i!val!2).
% 0.19/0.41  tff(formula3, axiom,
% 0.19/0.41      hskp5 <=> $true).
% 0.19/0.41  tff(formula4, axiom,
% 0.19/0.41      ndr1_0 <=> $true).
% 0.19/0.41  tff(formula5, axiom,
% 0.19/0.41      hskp4 <=> $false).
% 0.19/0.41  tff(formula6, axiom,
% 0.19/0.41      hskp3 <=> $false).
% 0.19/0.41  tff(formula7, axiom,
% 0.19/0.41      a24 = $i!val!0).
% 0.19/0.41  tff(formula8, axiom,
% 0.19/0.41      hskp8 <=> $true).
% 0.19/0.41  tff(formula9, axiom,
% 0.19/0.41      hskp7 <=> $false).
% 0.19/0.41  tff(formula10, axiom,
% 0.19/0.41      hskp0 <=> $false).
% 0.19/0.41  tff(formula11, axiom,
% 0.19/0.41      a21 = $i!val!4).
% 0.19/0.41  tff(formula12, axiom,
% 0.19/0.41      a22 = $i!val!3).
% 0.19/0.41  tff(formula13, axiom,
% 0.19/0.41      hskp6 <=> $false).
% 0.19/0.41  tff(formula14, axiom,
% 0.19/0.41      hskp1 <=> $false).
% 0.19/0.41  tff(formula15, axiom,
% 0.19/0.41      a18 = $i!val!1).
% 0.19/0.41  tff(formula16, axiom,
% 0.19/0.41      a23 = $i!val!5).
% 0.19/0.41  tff(formula17, axiom,
% 0.19/0.41      ![X0: $i] : (c1_1(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!0)))).
% 0.19/0.41  tff(formula18, axiom,
% 0.19/0.41      ![X0: $i] : (c0_1(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!0)))).
% 0.19/0.41  tff(formula19, axiom,
% 0.19/0.41      ![X0: $i] : (c3_1(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!0)))).
% 0.19/0.41  tff(formula20, axiom,
% 0.19/0.41      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.19/0.41  % SZS output end Model
%------------------------------------------------------------------------------