TSTP Solution File: PUZ080+2 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ080+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n018.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 : Sun Sep 18 14:11:23 EDT 2022

% Result   : Satisfiable 1.74s 1.76s
% Output   : Model 2.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : PUZ080+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.11  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri Sep  2 18:55:58 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31  Usage: tptp [options] [-file:]file
% 0.10/0.31    -h, -?       prints this message.
% 0.10/0.31    -smt2        print SMT-LIB2 benchmark.
% 0.10/0.31    -m, -model   generate model.
% 0.10/0.31    -p, -proof   generate proof.
% 0.10/0.31    -c, -core    generate unsat core of named formulas.
% 0.10/0.31    -st, -statistics display statistics.
% 0.10/0.31    -t:timeout   set timeout (in second).
% 0.10/0.31    -smt2status  display status in smt2 format instead of SZS.
% 0.10/0.31    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31    -<param>:<value> configuration parameter and value.
% 0.10/0.31    -o:<output-file> file to place output in.
% 1.74/1.76  % SZS status Satisfiable
% 1.74/1.76  % SZS output start Model
% 1.74/1.76  tff(tptp_fun__i_val_4_type, type, (
% 1.74/1.76     tptp_fun__i_val_4: $i)).
% 1.74/1.76  tff(n5_type, type, (
% 1.74/1.76     n5: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_2_type, type, (
% 1.74/1.76     tptp_fun__i_val_2: $i)).
% 1.74/1.76  tff(n6_type, type, (
% 1.74/1.76     n6: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_0_type, type, (
% 1.74/1.76     tptp_fun__i_val_0: $i)).
% 1.74/1.76  tff(n1_type, type, (
% 1.74/1.76     n1: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_1_type, type, (
% 1.74/1.76     tptp_fun__i_val_1: $i)).
% 1.74/1.76  tff(n2_type, type, (
% 1.74/1.76     n2: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_6_type, type, (
% 1.74/1.76     tptp_fun__i_val_6: $i)).
% 1.74/1.76  tff(n9_type, type, (
% 1.74/1.76     n9: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_3_type, type, (
% 1.74/1.76     tptp_fun__i_val_3: $i)).
% 1.74/1.76  tff(n8_type, type, (
% 1.74/1.76     n8: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_7_type, type, (
% 1.74/1.76     tptp_fun__i_val_7: $i)).
% 1.74/1.76  tff(n4_type, type, (
% 1.74/1.76     n4: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_5_type, type, (
% 1.74/1.76     tptp_fun__i_val_5: $i)).
% 1.74/1.76  tff(n7_type, type, (
% 1.74/1.76     n7: $i)).
% 1.74/1.76  tff(tptp_fun__i_val_8_type, type, (
% 1.74/1.76     tptp_fun__i_val_8: $i)).
% 1.74/1.76  tff(n3_type, type, (
% 1.74/1.76     n3: $i)).
% 1.74/1.76  tff(p_type, type, (
% 1.74/1.76     p: ( $i * $i * $i ) > $o)).
% 1.74/1.76  tff(formula1, axiom,
% 1.74/1.76      n5 = $i!val!4).
% 1.74/1.76  tff(formula2, axiom,
% 1.74/1.76      n6 = $i!val!2).
% 1.74/1.76  tff(formula3, axiom,
% 1.74/1.76      n1 = $i!val!0).
% 1.74/1.76  tff(formula4, axiom,
% 1.74/1.76      n2 = $i!val!1).
% 1.74/1.76  tff(formula5, axiom,
% 1.74/1.76      n9 = $i!val!6).
% 1.74/1.76  tff(formula6, axiom,
% 1.74/1.76      n8 = $i!val!3).
% 1.74/1.76  tff(formula7, axiom,
% 1.74/1.76      n4 = $i!val!7).
% 1.74/1.76  tff(formula8, axiom,
% 1.74/1.76      n7 = $i!val!5).
% 1.74/1.76  tff(formula9, axiom,
% 1.74/1.76      n3 = $i!val!8).
% 1.74/1.76  tff(formula10, axiom,
% 1.74/1.76      ![X0: $i, X1: $i, X2: $i] : (p(X0, X1, X2) <=> (((X2 = $i!val!8) & (X1 = $i!val!8) & (X0 = $i!val!1)) | ((X2 = $i!val!7) & (X1 = $i!val!3) & (X0 = $i!val!0)) | ((X2 = $i!val!5) & (X1 = $i!val!3) & (X0 = $i!val!7)) | ((X2 = $i!val!1) & (X1 = $i!val!3) & (X0 = $i!val!2)) | ((X2 = $i!val!3) & (X1 = $i!val!5) & (X0 = $i!val!6)) | ((X2 = $i!val!1) & (X1 = $i!val!7) & (X0 = $i!val!1)) | ((X2 = $i!val!4) & (X1 = $i!val!2) & (X0 = $i!val!5)) | ((X2 = $i!val!0) & (X1 = $i!val!8) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!6) & (X0 = $i!val!5)) | ((X2 = $i!val!6) & (X1 = $i!val!8) & (X0 = $i!val!3)) | ((X2 = $i!val!2) & (X1 = $i!val!4) & (X0 = $i!val!0)) | ((X2 = $i!val!5) & (X1 = $i!val!8) & (X0 = $i!val!2)) | ((X2 = $i!val!8) & (X1 = $i!val!0) & (X0 = $i!val!6)) | ((X2 = $i!val!8) & (X1 = $i!val!6) & (X0 = $i!val!7)) | ((X2 = $i!val!5) & (X1 = $i!val!1) & (X0 = $i!val!6)) | ((X2 = $i!val!4) & (X1 = $i!val!8) & (X0 = $i!val!4)) | ((X2 = $i!val!2) & (X1 = $i!val!7) & (X0 = $i!val!6)) | ((X2 = $i!val!3) & (X1 = $i!val!4) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!8)) | ((X2 = $i!val!6) & (X1 = $i!val!3) & (X0 = $i!val!4)) | ((X2 = $i!val!6) & (X1 = $i!val!0) & (X0 = $i!val!5)) | ((X2 = $i!val!6) & (X1 = $i!val!2) & (X0 = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!0) & (X0 = $i!val!2)) | ((X2 = $i!val!1) & (X1 = $i!val!0) & (X0 = $i!val!3)) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (X0 = $i!val!1)) | ((X2 = $i!val!7) & (X1 = $i!val!8) & (X0 = $i!val!6)) | ((X2 = $i!val!7) & (X1 = $i!val!1) & (X0 = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (X0 = $i!val!1)) | ((X2 = $i!val!5) & (X1 = $i!val!0) & (X0 = $i!val!4)) | ((X2 = $i!val!5) & (X1 = $i!val!6) & (X0 = $i!val!3)) | ((X2 = $i!val!3) & (X1 = $i!val!7) & (X0 = $i!val!4)) | ((X2 = $i!val!3) & (X1 = $i!val!3) & (X0 = $i!val!1)) | ((X2 = $i!val!1) & (X1 = $i!val!6) & (X0 = $i!val!0)) | ((X2 = $i!val!8) & (X1 = $i!val!1) & (X0 = $i!val!0)) | ((X2 = $i!val!8) & (X1 = $i!val!2) & (X0 = $i!val!4)) | ((X2 = $i!val!8) & (X1 = $i!val!5) & (X0 = $i!val!3)) | ((X2 = $i!val!8) & (X1 = $i!val!3) & (X0 = $i!val!8)) | ((X2 = $i!val!6) & (X1 = $i!val!5) & (X0 = $i!val!8)) | ((X2 = $i!val!5) & (X1 = $i!val!7) & (X0 = $i!val!5)) | ((X2 = $i!val!5) & (X1 = $i!val!2) & (X0 = $i!val!1)) | ((X2 = $i!val!5) & (X1 = $i!val!5) & (X0 = $i!val!0)) | ((X2 = $i!val!3) & (X1 = $i!val!0) & (X0 = $i!val!8)) | ((X2 = $i!val!7) & (X1 = $i!val!0) & (X0 = $i!val!7)) | ((X2 = $i!val!7) & (X1 = $i!val!7) & (X0 = $i!val!3)) | ((X2 = $i!val!7) & (X1 = $i!val!2) & (X0 = $i!val!2)) | ((X2 = $i!val!7) & (X1 = $i!val!6) & (X0 = $i!val!1)) | ((X2 = $i!val!4) & (X1 = $i!val!0) & (X0 = $i!val!0)) | ((X2 = $i!val!4) & (X1 = $i!val!3) & (X0 = $i!val!6)) | ((X2 = $i!val!2) & (X1 = $i!val!8) & (X0 = $i!val!5)) | ((X2 = $i!val!8) & (X1 = $i!val!7) & (X0 = $i!val!2)) | ((X2 = $i!val!8) & (X1 = $i!val!4) & (X0 = $i!val!5)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (X0 = $i!val!5)) | ((X2 = $i!val!0) & (X1 = $i!val!6) & (X0 = $i!val!6)) | ((X2 = $i!val!3) & (X1 = $i!val!1) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!2) & (X0 = $i!val!3)) | ((X2 = $i!val!6) & (X1 = $i!val!7) & (X0 = $i!val!0)) | ((X2 = $i!val!1) & (X1 = $i!val!8) & (X0 = $i!val!8)) | ((X2 = $i!val!6) & (X1 = $i!val!6) & (X0 = $i!val!2)) | ((X2 = $i!val!0) & (X1 = $i!val!7) & (X0 = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!2) & (X0 = $i!val!0)) | ((X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!5)) | ((X2 = $i!val!7) & (X1 = $i!val!5) & (X0 = $i!val!5)) | ((X2 = $i!val!4) & (X1 = $i!val!4) & (X0 = $i!val!1)) | ((X2 = $i!val!2) & (X1 = $i!val!1) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (X1 = $i!val!3) & (X0 = $i!val!3)) | ((X2 = $i!val!0) & (X1 = $i!val!1) & (X0 = $i!val!4)) | ((X2 = $i!val!1) & (X1 = $i!val!5) & (X0 = $i!val!4)) | ((X2 = $i!val!2) & (X1 = $i!val!6) & (X0 = $i!val!4)) | ((X2 = $i!val!1) & (X1 = $i!val!4) & (X0 = $i!val!6)) | ((X2 = $i!val!6) & (X1 = $i!val!1) & (X0 = $i!val!1)) | ((X2 = $i!val!5) & (X1 = $i!val!4) & (X0 = $i!val!8)) | ((X2 = $i!val!4) & (X1 = $i!val!7) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!8) & (X0 = $i!val!0)) | ((X2 = $i!val!7) & (X1 = $i!val!4) & (X0 = $i!val!4)) | ((X2 = $i!val!6) & (X1 = $i!val!4) & (X0 = $i!val!7)) | ((X2 = $i!val!4) & (X1 = $i!val!1) & (X0 = $i!val!3)) | ((X2 = $i!val!1) & (X1 = $i!val!2) & (X0 = $i!val!7)) | ((X2 = $i!val!2) & (X1 = $i!val!5) & (X0 = $i!val!7)) | ((X2 = $i!val!4) & (X1 = $i!val!5) & (X0 = $i!val!2)) | ((X2 = $i!val!4) & (X1 = $i!val!6) & (X0 = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (X0 = $i!val!3))))).
% 2.11/2.15  % SZS output end Model
%------------------------------------------------------------------------------