TSTP Solution File: SYN495-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN495-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 23:55:56 EDT 2022

% Result   : Satisfiable 0.22s 0.42s
% Output   : Model 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN495-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.14  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Sep  5 05:30:09 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36  Usage: tptp [options] [-file:]file
% 0.15/0.36    -h, -?       prints this message.
% 0.15/0.36    -smt2        print SMT-LIB2 benchmark.
% 0.15/0.36    -m, -model   generate model.
% 0.15/0.36    -p, -proof   generate proof.
% 0.15/0.36    -c, -core    generate unsat core of named formulas.
% 0.15/0.36    -st, -statistics display statistics.
% 0.15/0.36    -t:timeout   set timeout (in second).
% 0.15/0.36    -smt2status  display status in smt2 format instead of SZS.
% 0.15/0.36    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36    -<param>:<value> configuration parameter and value.
% 0.15/0.36    -o:<output-file> file to place output in.
% 0.22/0.42  % SZS status Satisfiable
% 0.22/0.42  % SZS output start Model
% 0.22/0.42  tff(hskp10_type, type, (
% 0.22/0.42     hskp10: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_0_type, type, (
% 0.22/0.42     tptp_fun__i_val_0: $i)).
% 0.22/0.42  tff(a74_type, type, (
% 0.22/0.42     a74: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_6_type, type, (
% 0.22/0.42     tptp_fun__i_val_6: $i)).
% 0.22/0.42  tff(a64_type, type, (
% 0.22/0.42     a64: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_10_type, type, (
% 0.22/0.42     tptp_fun__i_val_10: $i)).
% 0.22/0.42  tff(a76_type, type, (
% 0.22/0.42     a76: $i)).
% 0.22/0.42  tff(ndr1_0_type, type, (
% 0.22/0.42     ndr1_0: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_5_type, type, (
% 0.22/0.42     tptp_fun__i_val_5: $i)).
% 0.22/0.42  tff(a65_type, type, (
% 0.22/0.42     a65: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_4_type, type, (
% 0.22/0.42     tptp_fun__i_val_4: $i)).
% 0.22/0.42  tff(a67_type, type, (
% 0.22/0.42     a67: $i)).
% 0.22/0.42  tff(hskp14_type, type, (
% 0.22/0.42     hskp14: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_3_type, type, (
% 0.22/0.42     tptp_fun__i_val_3: $i)).
% 0.22/0.42  tff(a68_type, type, (
% 0.22/0.42     a68: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_15_type, type, (
% 0.22/0.42     tptp_fun__i_val_15: $i)).
% 0.22/0.42  tff(a66_type, type, (
% 0.22/0.42     a66: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_14_type, type, (
% 0.22/0.42     tptp_fun__i_val_14: $i)).
% 0.22/0.42  tff(a69_type, type, (
% 0.22/0.42     a69: $i)).
% 0.22/0.42  tff(hskp0_type, type, (
% 0.22/0.42     hskp0: $o)).
% 0.22/0.42  tff(hskp6_type, type, (
% 0.22/0.42     hskp6: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_12_type, type, (
% 0.22/0.42     tptp_fun__i_val_12: $i)).
% 0.22/0.42  tff(a73_type, type, (
% 0.22/0.42     a73: $i)).
% 0.22/0.42  tff(hskp12_type, type, (
% 0.22/0.42     hskp12: $o)).
% 0.22/0.42  tff(hskp11_type, type, (
% 0.22/0.42     hskp11: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_7_type, type, (
% 0.22/0.42     tptp_fun__i_val_7: $i)).
% 0.22/0.42  tff(a63_type, type, (
% 0.22/0.42     a63: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_8_type, type, (
% 0.22/0.42     tptp_fun__i_val_8: $i)).
% 0.22/0.42  tff(a62_type, type, (
% 0.22/0.42     a62: $i)).
% 0.22/0.42  tff(hskp2_type, type, (
% 0.22/0.42     hskp2: $o)).
% 0.22/0.42  tff(hskp5_type, type, (
% 0.22/0.42     hskp5: $o)).
% 0.22/0.42  tff(hskp4_type, type, (
% 0.22/0.42     hskp4: $o)).
% 0.22/0.42  tff(hskp15_type, type, (
% 0.22/0.42     hskp15: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_2_type, type, (
% 0.22/0.42     tptp_fun__i_val_2: $i)).
% 0.22/0.42  tff(a70_type, type, (
% 0.22/0.42     a70: $i)).
% 0.22/0.42  tff(hskp3_type, type, (
% 0.22/0.42     hskp3: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_13_type, type, (
% 0.22/0.42     tptp_fun__i_val_13: $i)).
% 0.22/0.42  tff(a71_type, type, (
% 0.22/0.42     a71: $i)).
% 0.22/0.42  tff(hskp8_type, type, (
% 0.22/0.42     hskp8: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_11_type, type, (
% 0.22/0.42     tptp_fun__i_val_11: $i)).
% 0.22/0.42  tff(a75_type, type, (
% 0.22/0.42     a75: $i)).
% 0.22/0.42  tff(hskp7_type, type, (
% 0.22/0.42     hskp7: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_9_type, type, (
% 0.22/0.42     tptp_fun__i_val_9: $i)).
% 0.22/0.42  tff(a77_type, type, (
% 0.22/0.42     a77: $i)).
% 0.22/0.42  tff(hskp16_type, type, (
% 0.22/0.42     hskp16: $o)).
% 0.22/0.42  tff(hskp1_type, type, (
% 0.22/0.42     hskp1: $o)).
% 0.22/0.42  tff(hskp13_type, type, (
% 0.22/0.42     hskp13: $o)).
% 0.22/0.42  tff(tptp_fun__i_val_1_type, type, (
% 0.22/0.42     tptp_fun__i_val_1: $i)).
% 0.22/0.42  tff(a72_type, type, (
% 0.22/0.42     a72: $i)).
% 0.22/0.42  tff(tptp_fun__i_val_16_type, type, (
% 0.22/0.42     tptp_fun__i_val_16: $i)).
% 0.22/0.42  tff(a61_type, type, (
% 0.22/0.42     a61: $i)).
% 0.22/0.42  tff(hskp9_type, type, (
% 0.22/0.42     hskp9: $o)).
% 0.22/0.42  tff(k!0_type, type, (
% 0.22/0.42     k!0: $i > $i)).
% 0.22/0.42  tff(c3_1_type, type, (
% 0.22/0.42     c3_1: $i > $o)).
% 0.22/0.42  tff(c0_1_type, type, (
% 0.22/0.42     c0_1: $i > $o)).
% 0.22/0.42  tff(c1_1_type, type, (
% 0.22/0.42     c1_1: $i > $o)).
% 0.22/0.42  tff(c2_1_type, type, (
% 0.22/0.42     c2_1: $i > $o)).
% 0.22/0.42  tff(formula1, axiom,
% 0.22/0.42      hskp10 <=> $false).
% 0.22/0.42  tff(formula2, axiom,
% 0.22/0.42      a74 = $i!val!0).
% 0.22/0.42  tff(formula3, axiom,
% 0.22/0.42      a64 = $i!val!6).
% 0.22/0.42  tff(formula4, axiom,
% 0.22/0.42      a76 = $i!val!10).
% 0.22/0.42  tff(formula5, axiom,
% 0.22/0.42      ndr1_0 <=> $true).
% 0.22/0.42  tff(formula6, axiom,
% 0.22/0.42      a65 = $i!val!5).
% 0.22/0.42  tff(formula7, axiom,
% 0.22/0.42      a67 = $i!val!4).
% 0.22/0.42  tff(formula8, axiom,
% 0.22/0.42      hskp14 <=> $true).
% 0.22/0.42  tff(formula9, axiom,
% 0.22/0.42      a68 = $i!val!3).
% 0.22/0.42  tff(formula10, axiom,
% 0.22/0.42      a66 = $i!val!15).
% 0.22/0.42  tff(formula11, axiom,
% 0.22/0.42      a69 = $i!val!14).
% 0.22/0.42  tff(formula12, axiom,
% 0.22/0.42      hskp0 <=> $false).
% 0.22/0.42  tff(formula13, axiom,
% 0.22/0.42      hskp6 <=> $false).
% 0.22/0.42  tff(formula14, axiom,
% 0.22/0.42      a73 = $i!val!12).
% 0.22/0.42  tff(formula15, axiom,
% 0.22/0.42      hskp12 <=> $true).
% 0.22/0.42  tff(formula16, axiom,
% 0.22/0.42      hskp11 <=> $false).
% 0.22/0.42  tff(formula17, axiom,
% 0.22/0.42      a63 = $i!val!7).
% 0.22/0.42  tff(formula18, axiom,
% 0.22/0.42      a62 = $i!val!8).
% 0.22/0.42  tff(formula19, axiom,
% 0.22/0.42      hskp2 <=> $false).
% 0.22/0.42  tff(formula20, axiom,
% 0.22/0.42      hskp5 <=> $false).
% 0.22/0.42  tff(formula21, axiom,
% 0.22/0.42      hskp4 <=> $false).
% 0.22/0.42  tff(formula22, axiom,
% 0.22/0.42      hskp15 <=> $true).
% 0.22/0.42  tff(formula23, axiom,
% 0.22/0.42      a70 = $i!val!2).
% 0.22/0.42  tff(formula24, axiom,
% 0.22/0.42      hskp3 <=> $false).
% 0.22/0.42  tff(formula25, axiom,
% 0.22/0.42      a71 = $i!val!13).
% 0.22/0.42  tff(formula26, axiom,
% 0.22/0.42      hskp8 <=> $true).
% 0.22/0.42  tff(formula27, axiom,
% 0.22/0.42      a75 = $i!val!11).
% 0.22/0.42  tff(formula28, axiom,
% 0.22/0.42      hskp7 <=> $false).
% 0.22/0.42  tff(formula29, axiom,
% 0.22/0.42      a77 = $i!val!9).
% 0.22/0.42  tff(formula30, axiom,
% 0.22/0.42      hskp16 <=> $true).
% 0.22/0.42  tff(formula31, axiom,
% 0.22/0.42      hskp1 <=> $false).
% 0.22/0.42  tff(formula32, axiom,
% 0.22/0.42      hskp13 <=> $false).
% 0.22/0.42  tff(formula33, axiom,
% 0.22/0.42      a72 = $i!val!1).
% 0.22/0.42  tff(formula34, axiom,
% 0.22/0.42      a61 = $i!val!16).
% 0.22/0.42  tff(formula35, axiom,
% 0.22/0.42      hskp9 <=> $false).
% 0.22/0.42  tff(formula36, axiom,
% 0.22/0.42      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!0)))).
% 0.22/0.42  tff(formula37, axiom,
% 0.22/0.42      k!0($i!val!0) = $i!val!0).
% 0.22/0.42  tff(formula38, axiom,
% 0.22/0.42      k!0($i!val!6) = $i!val!6).
% 0.22/0.42  tff(formula39, axiom,
% 0.22/0.42      k!0($i!val!10) = $i!val!10).
% 0.22/0.42  tff(formula40, axiom,
% 0.22/0.42      k!0($i!val!2) = $i!val!2).
% 0.22/0.42  tff(formula41, axiom,
% 0.22/0.42      k!0($i!val!5) = $i!val!5).
% 0.22/0.42  tff(formula42, axiom,
% 0.22/0.42      k!0($i!val!4) = $i!val!4).
% 0.22/0.42  tff(formula43, axiom,
% 0.22/0.42      k!0($i!val!13) = $i!val!13).
% 0.22/0.42  tff(formula44, axiom,
% 0.22/0.42      k!0($i!val!11) = $i!val!11).
% 0.22/0.42  tff(formula45, axiom,
% 0.22/0.42      k!0($i!val!3) = $i!val!3).
% 0.22/0.42  tff(formula46, axiom,
% 0.22/0.42      k!0($i!val!14) = $i!val!14).
% 0.22/0.42  tff(formula47, axiom,
% 0.22/0.42      k!0($i!val!15) = $i!val!15).
% 0.22/0.42  tff(formula48, axiom,
% 0.22/0.42      k!0($i!val!9) = $i!val!9).
% 0.22/0.42  tff(formula49, axiom,
% 0.22/0.42      k!0($i!val!16) = $i!val!16).
% 0.22/0.42  tff(formula50, axiom,
% 0.22/0.42      k!0($i!val!1) = $i!val!1).
% 0.22/0.42  tff(formula51, axiom,
% 0.22/0.42      k!0($i!val!12) = $i!val!12).
% 0.22/0.42  tff(formula52, axiom,
% 0.22/0.42      k!0($i!val!7) = $i!val!7).
% 0.22/0.42  tff(formula53, axiom,
% 0.22/0.42      ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!6 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!5 = X0)) | (($i!val!4 = X0)) | (($i!val!13 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!14 = X0)) | (($i!val!15 = X0)) | (($i!val!9 = X0)) | (($i!val!16 = X0)) | (($i!val!1 = X0)) | (($i!val!12 = X0)) | (($i!val!7 = X0)))) => (k!0(X0) = $i!val!8))).
% 0.22/0.42  tff(formula54, axiom,
% 0.22/0.42      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!8)))).
% 0.22/0.42  tff(formula55, axiom,
% 0.22/0.42      ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!4)))).
% 0.22/0.42  tff(formula56, axiom,
% 0.22/0.42      ![X0: $i] : (c2_1(X0) <=> (k!0(X0) = $i!val!0))).
% 0.22/0.42  % SZS output end Model
%------------------------------------------------------------------------------