TSTP Solution File: PUZ079+2 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ079+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n017.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 1.15s 1.30s
% Output   : Model 1.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ079+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri Sep  2 18:15:53 EDT 2022
% 0.12/0.32  % 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.
% 1.15/1.30  % SZS status Satisfiable
% 1.15/1.30  % SZS output start Model
% 1.15/1.30  tff(tptp_fun__i_val_2_type, type, (
% 1.15/1.30     tptp_fun__i_val_2: $i)).
% 1.15/1.30  tff(n5_type, type, (
% 1.15/1.30     n5: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_5_type, type, (
% 1.15/1.30     tptp_fun__i_val_5: $i)).
% 1.15/1.30  tff(n6_type, type, (
% 1.15/1.30     n6: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_0_type, type, (
% 1.15/1.30     tptp_fun__i_val_0: $i)).
% 1.15/1.30  tff(n1_type, type, (
% 1.15/1.30     n1: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_4_type, type, (
% 1.15/1.30     tptp_fun__i_val_4: $i)).
% 1.15/1.30  tff(n2_type, type, (
% 1.15/1.30     n2: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_7_type, type, (
% 1.15/1.30     tptp_fun__i_val_7: $i)).
% 1.15/1.30  tff(n9_type, type, (
% 1.15/1.30     n9: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_3_type, type, (
% 1.15/1.30     tptp_fun__i_val_3: $i)).
% 1.15/1.30  tff(n8_type, type, (
% 1.15/1.30     n8: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_8_type, type, (
% 1.15/1.30     tptp_fun__i_val_8: $i)).
% 1.15/1.30  tff(n4_type, type, (
% 1.15/1.30     n4: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_1_type, type, (
% 1.15/1.30     tptp_fun__i_val_1: $i)).
% 1.15/1.30  tff(n3_type, type, (
% 1.15/1.30     n3: $i)).
% 1.15/1.30  tff(tptp_fun__i_val_6_type, type, (
% 1.15/1.30     tptp_fun__i_val_6: $i)).
% 1.15/1.30  tff(n7_type, type, (
% 1.15/1.30     n7: $i)).
% 1.15/1.30  tff(p_type, type, (
% 1.15/1.30     p: ( $i * $i * $i ) > $o)).
% 1.15/1.30  tff(formula1, axiom,
% 1.15/1.30      n5 = $i!val!2).
% 1.15/1.30  tff(formula2, axiom,
% 1.15/1.30      n6 = $i!val!5).
% 1.15/1.30  tff(formula3, axiom,
% 1.15/1.30      n1 = $i!val!0).
% 1.15/1.30  tff(formula4, axiom,
% 1.15/1.30      n2 = $i!val!4).
% 1.15/1.30  tff(formula5, axiom,
% 1.15/1.30      n9 = $i!val!7).
% 1.15/1.30  tff(formula6, axiom,
% 1.15/1.30      n8 = $i!val!3).
% 1.15/1.30  tff(formula7, axiom,
% 1.15/1.30      n4 = $i!val!8).
% 1.15/1.30  tff(formula8, axiom,
% 1.15/1.30      n3 = $i!val!1).
% 1.15/1.30  tff(formula9, axiom,
% 1.15/1.30      n7 = $i!val!6).
% 1.15/1.30  tff(formula10, axiom,
% 1.15/1.30      ![X0: $i, X1: $i, X2: $i] : (p(X0, X1, X2) <=> (((X2 = $i!val!3) & (X1 = $i!val!6) & (X0 = $i!val!5)) | ((X2 = $i!val!1) & (X1 = $i!val!2) & (X0 = $i!val!7)) | ((X2 = $i!val!5) & (X1 = $i!val!0) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!0) & (X0 = $i!val!3)) | ((X2 = $i!val!6) & (X1 = $i!val!5) & (X0 = $i!val!3)) | ((X2 = $i!val!4) & (X1 = $i!val!1) & (X0 = $i!val!5)) | ((X2 = $i!val!6) & (X1 = $i!val!7) & (X0 = $i!val!0)) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (X0 = $i!val!4)) | ((X2 = $i!val!0) & (X1 = $i!val!0) & (X0 = $i!val!0)) | ((X2 = $i!val!0) & (X1 = $i!val!8) & (X0 = $i!val!5)) | ((X2 = $i!val!1) & (X1 = $i!val!6) & (X0 = $i!val!2)) | ((X2 = $i!val!8) & (X1 = $i!val!0) & (X0 = $i!val!8)) | ((X2 = $i!val!3) & (X1 = $i!val!3) & (X0 = $i!val!6)) | ((X2 = $i!val!7) & (X1 = $i!val!1) & (X0 = $i!val!7)) | ((X2 = $i!val!7) & (X1 = $i!val!2) & (X0 = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!1) & (X0 = $i!val!2)) | ((X2 = $i!val!1) & (X1 = $i!val!5) & (X0 = $i!val!4)) | ((X2 = $i!val!8) & (X1 = $i!val!2) & (X0 = $i!val!5)) | ((X2 = $i!val!8) & (X1 = $i!val!8) & (X0 = $i!val!4)) | ((X2 = $i!val!1) & (X1 = $i!val!8) & (X0 = $i!val!1)) | ((X2 = $i!val!7) & (X1 = $i!val!6) & (X0 = $i!val!1)) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (X0 = $i!val!2)) | ((X2 = $i!val!1) & (X1 = $i!val!0) & (X0 = $i!val!6)) | ((X2 = $i!val!7) & (X1 = $i!val!4) & (X0 = $i!val!2)) | ((X2 = $i!val!4) & (X1 = $i!val!4) & (X0 = $i!val!7)) | ((X2 = $i!val!5) & (X1 = $i!val!8) & (X0 = $i!val!6)) | ((X2 = $i!val!3) & (X1 = $i!val!7) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (X1 = $i!val!7) & (X0 = $i!val!6)) | ((X2 = $i!val!5) & (X1 = $i!val!4) & (X0 = $i!val!0)) | ((X2 = $i!val!5) & (X1 = $i!val!3) & (X0 = $i!val!5)) | ((X2 = $i!val!8) & (X1 = $i!val!1) & (X0 = $i!val!3)) | ((X2 = $i!val!4) & (X1 = $i!val!2) & (X0 = $i!val!0)) | ((X2 = $i!val!4) & (X1 = $i!val!7) & (X0 = $i!val!4)) | ((X2 = $i!val!8) & (X1 = $i!val!4) & (X0 = $i!val!6)) | ((X2 = $i!val!8) & (X1 = $i!val!3) & (X0 = $i!val!2)) | ((X2 = $i!val!8) & (X1 = $i!val!7) & (X0 = $i!val!1)) | ((X2 = $i!val!2) & (X1 = $i!val!1) & (X0 = $i!val!1)) | ((X2 = $i!val!5) & (X1 = $i!val!7) & (X0 = $i!val!3)) | ((X2 = $i!val!6) & (X1 = $i!val!1) & (X0 = $i!val!6)) | ((X2 = $i!val!6) & (X1 = $i!val!2) & (X0 = $i!val!2)) | ((X2 = $i!val!6) & (X1 = $i!val!6) & (X0 = $i!val!4)) | ((X2 = $i!val!1) & (X1 = $i!val!7) & (X0 = $i!val!5)) | ((X2 = $i!val!6) & (X1 = $i!val!0) & (X0 = $i!val!5)) | ((X2 = $i!val!6) & (X1 = $i!val!3) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!2) & (X0 = $i!val!4)) | ((X2 = $i!val!0) & (X1 = $i!val!2) & (X0 = $i!val!3)) | ((X2 = $i!val!4) & (X1 = $i!val!0) & (X0 = $i!val!1)) | ((X2 = $i!val!1) & (X1 = $i!val!4) & (X0 = $i!val!3)) | ((X2 = $i!val!1) & (X1 = $i!val!3) & (X0 = $i!val!0)) | ((X2 = $i!val!5) & (X1 = $i!val!5) & (X0 = $i!val!2)) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (X0 = $i!val!8)) | ((X2 = $i!val!0) & (X1 = $i!val!7) & (X0 = $i!val!7)) | ((X2 = $i!val!4) & (X1 = $i!val!8) & (X0 = $i!val!2)) | ((X2 = $i!val!4) & (X1 = $i!val!5) & (X0 = $i!val!6)) | ((X2 = $i!val!3) & (X1 = $i!val!5) & (X0 = $i!val!1)) | ((X2 = $i!val!7) & (X1 = $i!val!0) & (X0 = $i!val!4)) | ((X2 = $i!val!7) & (X1 = $i!val!8) & (X0 = $i!val!0)) | ((X2 = $i!val!7) & (X1 = $i!val!5) & (X0 = $i!val!5)) | ((X2 = $i!val!8) & (X1 = $i!val!5) & (X0 = $i!val!0)) | ((X2 = $i!val!0) & (X1 = $i!val!6) & (X0 = $i!val!6)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (X0 = $i!val!1)) | ((X2 = $i!val!4) & (X1 = $i!val!3) & (X0 = $i!val!8)) | ((X2 = $i!val!6) & (X1 = $i!val!8) & (X0 = $i!val!8)) | ((X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!8)) | ((X2 = $i!val!2) & (X1 = $i!val!4) & (X0 = $i!val!5)) | ((X2 = $i!val!2) & (X1 = $i!val!5) & (X0 = $i!val!7)) | ((X2 = $i!val!4) & (X1 = $i!val!6) & (X0 = $i!val!3)) | ((X2 = $i!val!7) & (X1 = $i!val!3) & (X0 = $i!val!3)) | ((X2 = $i!val!7) & (X1 = $i!val!7) & (X0 = $i!val!8)) | ((X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!8)) | ((X2 = $i!val!8) & (X1 = $i!val!6) & (X0 = $i!val!7)) | ((X2 = $i!val!3) & (X1 = $i!val!4) & (X0 = $i!val!8)) | ((X2 = $i!val!3) & (X1 = $i!val!8) & (X0 = $i!val!7)) | ((X2 = $i!val!2) & (X1 = $i!val!6) & (X0 = $i!val!0)) | ((X2 = $i!val!3) & (X1 = $i!val!1) & (X0 = $i!val!0)) | ((X2 = $i!val!2) & (X1 = $i!val!3) & (X0 = $i!val!4)) | ((X2 = $i!val!2) & (X1 = $i!val!8) & (X0 = $i!val!3)) | ((X2 = $i!val!5) & (X1 = $i!val!1) & (X0 = $i!val!4)) | ((X2 = $i!val!5) & (X1 = $i!val!2) & (X0 = $i!val!1)) | ((X2 = $i!val!5) & (X1 = $i!val!6) & (X0 = $i!val!8)) | ((X2 = $i!val!6) & (X1 = $i!val!4) & (X0 = $i!val!1))))).
% 1.42/1.56  % SZS output end Model
%------------------------------------------------------------------------------