TSTP Solution File: SYN524-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN524-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n013.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 23:56:11 EDT 2022

% Result   : Satisfiable 0.20s 0.46s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN524-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 05:03:46 EDT 2022
% 0.13/0.34  % 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.
% 0.20/0.46  % SZS status Satisfiable
% 0.20/0.46  % SZS output start Model
% 0.20/0.46  tff(ssSkC3_type, type, (
% 0.20/0.46     ssSkC3: $o)).
% 0.20/0.46  tff(ssSkC4_type, type, (
% 0.20/0.46     ssSkC4: $o)).
% 0.20/0.46  tff(ndr1_0_type, type, (
% 0.20/0.46     ndr1_0: $o)).
% 0.20/0.46  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.46     tptp_fun__i_val_0: $i)).
% 0.20/0.46  tff(a182_type, type, (
% 0.20/0.46     a182: $i)).
% 0.20/0.46  tff(a158_type, type, (
% 0.20/0.46     a158: $i)).
% 0.20/0.46  tff(ssSkC2_type, type, (
% 0.20/0.46     ssSkC2: $o)).
% 0.20/0.46  tff(a187_type, type, (
% 0.20/0.46     a187: $i)).
% 0.20/0.46  tff(ssSkC0_type, type, (
% 0.20/0.46     ssSkC0: $o)).
% 0.20/0.46  tff(a157_type, type, (
% 0.20/0.46     a157: $i)).
% 0.20/0.46  tff(a175_type, type, (
% 0.20/0.46     a175: $i)).
% 0.20/0.46  tff(a183_type, type, (
% 0.20/0.46     a183: $i)).
% 0.20/0.46  tff(a171_type, type, (
% 0.20/0.46     a171: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.46     tptp_fun__i_val_2: $i)).
% 0.20/0.46  tff(a170_type, type, (
% 0.20/0.46     a170: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.46     tptp_fun__i_val_1: $i)).
% 0.20/0.46  tff(a181_type, type, (
% 0.20/0.46     a181: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.46     tptp_fun__i_val_5: $i)).
% 0.20/0.46  tff(a159_type, type, (
% 0.20/0.46     a159: $i)).
% 0.20/0.46  tff(a169_type, type, (
% 0.20/0.46     a169: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.46     tptp_fun__i_val_3: $i)).
% 0.20/0.46  tff(a176_type, type, (
% 0.20/0.46     a176: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.46     tptp_fun__i_val_6: $i)).
% 0.20/0.46  tff(a160_type, type, (
% 0.20/0.46     a160: $i)).
% 0.20/0.46  tff(a168_type, type, (
% 0.20/0.46     a168: $i)).
% 0.20/0.46  tff(a178_type, type, (
% 0.20/0.46     a178: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.46     tptp_fun__i_val_4: $i)).
% 0.20/0.46  tff(a185_type, type, (
% 0.20/0.46     a185: $i)).
% 0.20/0.46  tff(c1_0_type, type, (
% 0.20/0.46     c1_0: $o)).
% 0.20/0.46  tff(a186_type, type, (
% 0.20/0.46     a186: $i)).
% 0.20/0.46  tff(a173_type, type, (
% 0.20/0.46     a173: $i)).
% 0.20/0.46  tff(c2_0_type, type, (
% 0.20/0.46     c2_0: $o)).
% 0.20/0.46  tff(a174_type, type, (
% 0.20/0.46     a174: $i)).
% 0.20/0.46  tff(a180_type, type, (
% 0.20/0.46     a180: $i)).
% 0.20/0.46  tff(a163_type, type, (
% 0.20/0.46     a163: $i)).
% 0.20/0.46  tff(a165_type, type, (
% 0.20/0.46     a165: $i)).
% 0.20/0.46  tff(ssSkC1_type, type, (
% 0.20/0.46     ssSkC1: $o)).
% 0.20/0.46  tff(a177_type, type, (
% 0.20/0.46     a177: $i)).
% 0.20/0.46  tff(a167_type, type, (
% 0.20/0.46     a167: $i)).
% 0.20/0.46  tff(c5_0_type, type, (
% 0.20/0.46     c5_0: $o)).
% 0.20/0.46  tff(c4_0_type, type, (
% 0.20/0.46     c4_0: $o)).
% 0.20/0.46  tff(a164_type, type, (
% 0.20/0.46     a164: $i)).
% 0.20/0.46  tff(c3_0_type, type, (
% 0.20/0.46     c3_0: $o)).
% 0.20/0.46  tff(c5_2_type, type, (
% 0.20/0.46     c5_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c4_1_type, type, (
% 0.20/0.46     c4_1: $i > $o)).
% 0.20/0.46  tff(c5_1_type, type, (
% 0.20/0.46     c5_1: $i > $o)).
% 0.20/0.46  tff(c1_1_type, type, (
% 0.20/0.46     c1_1: $i > $o)).
% 0.20/0.46  tff(c3_1_type, type, (
% 0.20/0.46     c3_1: $i > $o)).
% 0.20/0.46  tff(c2_1_type, type, (
% 0.20/0.46     c2_1: $i > $o)).
% 0.20/0.46  tff(ssSkP1_type, type, (
% 0.20/0.46     ssSkP1: $i > $o)).
% 0.20/0.46  tff(c3_2_type, type, (
% 0.20/0.46     c3_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c2_2_type, type, (
% 0.20/0.46     c2_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(ssSkP0_type, type, (
% 0.20/0.46     ssSkP0: $i > $o)).
% 0.20/0.46  tff(c4_2_type, type, (
% 0.20/0.46     c4_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c1_2_type, type, (
% 0.20/0.46     c1_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(ndr1_1_type, type, (
% 0.20/0.46     ndr1_1: $i > $o)).
% 0.20/0.46  tff(formula1, axiom,
% 0.20/0.46      ssSkC3 <=> $false).
% 0.20/0.46  tff(formula2, axiom,
% 0.20/0.46      ssSkC4 <=> $false).
% 0.20/0.46  tff(formula3, axiom,
% 0.20/0.46      ndr1_0 <=> $true).
% 0.20/0.46  tff(formula4, axiom,
% 0.20/0.46      a182 = $i!val!0).
% 0.20/0.46  tff(formula5, axiom,
% 0.20/0.46      a158 = $i!val!0).
% 0.20/0.46  tff(formula6, axiom,
% 0.20/0.46      ssSkC2 <=> $true).
% 0.20/0.46  tff(formula7, axiom,
% 0.20/0.46      a187 = $i!val!0).
% 0.20/0.46  tff(formula8, axiom,
% 0.20/0.46      ssSkC0 <=> $false).
% 0.20/0.46  tff(formula9, axiom,
% 0.20/0.46      a157 = $i!val!0).
% 0.20/0.46  tff(formula10, axiom,
% 0.20/0.46      a175 = $i!val!0).
% 0.20/0.46  tff(formula11, axiom,
% 0.20/0.46      a183 = $i!val!0).
% 0.20/0.46  tff(formula12, axiom,
% 0.20/0.46      a171 = $i!val!0).
% 0.20/0.46  tff(formula13, axiom,
% 0.20/0.46      a170 = $i!val!2).
% 0.20/0.46  tff(formula14, axiom,
% 0.20/0.46      a181 = $i!val!1).
% 0.20/0.46  tff(formula15, axiom,
% 0.20/0.46      a159 = $i!val!5).
% 0.20/0.46  tff(formula16, axiom,
% 0.20/0.46      a169 = $i!val!0).
% 0.20/0.46  tff(formula17, axiom,
% 0.20/0.46      a176 = $i!val!3).
% 0.20/0.46  tff(formula18, axiom,
% 0.20/0.46      a160 = $i!val!6).
% 0.20/0.46  tff(formula19, axiom,
% 0.20/0.46      a168 = $i!val!0).
% 0.20/0.46  tff(formula20, axiom,
% 0.20/0.46      a178 = $i!val!0).
% 0.20/0.46  tff(formula21, axiom,
% 0.20/0.46      a185 = $i!val!4).
% 0.20/0.46  tff(formula22, axiom,
% 0.20/0.46      c1_0 <=> $true).
% 0.20/0.46  tff(formula23, axiom,
% 0.20/0.46      a186 = $i!val!0).
% 0.20/0.46  tff(formula24, axiom,
% 0.20/0.46      a173 = $i!val!0).
% 0.20/0.46  tff(formula25, axiom,
% 0.20/0.46      c2_0 <=> $false).
% 0.20/0.46  tff(formula26, axiom,
% 0.20/0.46      a174 = $i!val!0).
% 0.20/0.46  tff(formula27, axiom,
% 0.20/0.46      a180 = $i!val!0).
% 0.20/0.46  tff(formula28, axiom,
% 0.20/0.46      a163 = $i!val!0).
% 0.20/0.46  tff(formula29, axiom,
% 0.20/0.46      a165 = $i!val!0).
% 0.20/0.46  tff(formula30, axiom,
% 0.20/0.46      ssSkC1 <=> $true).
% 0.20/0.46  tff(formula31, axiom,
% 0.20/0.46      a177 = $i!val!0).
% 0.20/0.46  tff(formula32, axiom,
% 0.20/0.46      a167 = $i!val!0).
% 0.20/0.46  tff(formula33, axiom,
% 0.20/0.46      c5_0 <=> $false).
% 0.20/0.46  tff(formula34, axiom,
% 0.20/0.46      c4_0 <=> $false).
% 0.20/0.46  tff(formula35, axiom,
% 0.20/0.46      a164 = $i!val!0).
% 0.20/0.46  tff(formula36, axiom,
% 0.20/0.46      c3_0 <=> $false).
% 0.20/0.46  tff(formula37, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.20/0.46  tff(formula38, axiom,
% 0.20/0.46      ![X0: $i] : (c4_1(X0) <=> $false)).
% 0.20/0.46  tff(formula39, axiom,
% 0.20/0.46      ![X0: $i] : (c5_1(X0) <=> $false)).
% 0.20/0.46  tff(formula40, axiom,
% 0.20/0.46      ![X0: $i] : (c1_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!1))).
% 0.20/0.46  tff(formula41, axiom,
% 0.20/0.46      ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.20/0.46  tff(formula42, axiom,
% 0.20/0.46      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.20/0.46  tff(formula43, axiom,
% 0.20/0.46      ![X0: $i] : (ssSkP1(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!0) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!5)))).
% 0.20/0.46  tff(formula44, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.20/0.46  tff(formula45, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!2) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, $i!val!4)) = $i!val!3)))).
% 0.20/0.46  tff(formula46, axiom,
% 0.20/0.46      ![X0: $i] : (ssSkP0(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!0) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!5) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!1)))).
% 0.20/0.46  tff(formula47, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.20/0.46  tff(formula48, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.46  tff(formula49, axiom,
% 0.20/0.46      ![X0: $i] : (ndr1_1(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!1) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!1))) = $i!val!2)))).
% 0.20/0.46  % SZS output end Model
%------------------------------------------------------------------------------