TSTP Solution File: SYN433+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN433+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n025.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 23:55:21 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN433+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Sep  5 03:39:04 EDT 2022
% 0.12/0.33  % 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.
% 0.19/0.41  % SZS status CounterSatisfiable
% 0.19/0.41  % SZS output start Model
% 0.19/0.41  tff(hskp10_type, type, (
% 0.19/0.41     hskp10: $o)).
% 0.19/0.41  tff(hskp20_type, type, (
% 0.19/0.41     hskp20: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.41     tptp_fun__i_val_7: $i)).
% 0.19/0.41  tff(a199_type, type, (
% 0.19/0.41     a199: $i)).
% 0.19/0.41  tff(ndr1_0_type, type, (
% 0.19/0.41     ndr1_0: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.41     tptp_fun__i_val_8: $i)).
% 0.19/0.41  tff(a203_type, type, (
% 0.19/0.41     a203: $i)).
% 0.19/0.41  tff(hskp22_type, type, (
% 0.19/0.41     hskp22: $o)).
% 0.19/0.41  tff(hskp14_type, type, (
% 0.19/0.41     hskp14: $o)).
% 0.19/0.41  tff(hskp23_type, type, (
% 0.19/0.41     hskp23: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.41     tptp_fun__i_val_6: $i)).
% 0.19/0.41  tff(a222_type, type, (
% 0.19/0.41     a222: $i)).
% 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(a207_type, type, (
% 0.19/0.41     a207: $i)).
% 0.19/0.41  tff(hskp21_type, type, (
% 0.19/0.41     hskp21: $o)).
% 0.19/0.41  tff(hskp0_type, type, (
% 0.19/0.41     hskp0: $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(a210_type, type, (
% 0.19/0.41     a210: $i)).
% 0.19/0.41  tff(hskp24_type, type, (
% 0.19/0.41     hskp24: $o)).
% 0.19/0.41  tff(hskp6_type, type, (
% 0.19/0.41     hskp6: $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(a211_type, type, (
% 0.19/0.41     a211: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.41     tptp_fun__i_val_13: $i)).
% 0.19/0.41  tff(a218_type, type, (
% 0.19/0.41     a218: $i)).
% 0.19/0.41  tff(hskp11_type, type, (
% 0.19/0.41     hskp11: $o)).
% 0.19/0.41  tff(hskp12_type, type, (
% 0.19/0.41     hskp12: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.41     tptp_fun__i_val_11: $i)).
% 0.19/0.41  tff(a214_type, type, (
% 0.19/0.41     a214: $i)).
% 0.19/0.41  tff(hskp2_type, type, (
% 0.19/0.41     hskp2: $o)).
% 0.19/0.41  tff(hskp5_type, type, (
% 0.19/0.41     hskp5: $o)).
% 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(a221_type, type, (
% 0.19/0.41     a221: $i)).
% 0.19/0.41  tff(hskp4_type, type, (
% 0.19/0.41     hskp4: $o)).
% 0.19/0.41  tff(hskp15_type, type, (
% 0.19/0.41     hskp15: $o)).
% 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(a215_type, type, (
% 0.19/0.41     a215: $i)).
% 0.19/0.41  tff(hskp3_type, type, (
% 0.19/0.41     hskp3: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.41     tptp_fun__i_val_10: $i)).
% 0.19/0.41  tff(a208_type, type, (
% 0.19/0.41     a208: $i)).
% 0.19/0.41  tff(hskp18_type, type, (
% 0.19/0.41     hskp18: $o)).
% 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(hskp16_type, type, (
% 0.19/0.41     hskp16: $o)).
% 0.19/0.41  tff(hskp1_type, type, (
% 0.19/0.41     hskp1: $o)).
% 0.19/0.41  tff(hskp13_type, type, (
% 0.19/0.41     hskp13: $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(a217_type, type, (
% 0.19/0.41     a217: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.41     tptp_fun__i_val_12: $i)).
% 0.19/0.41  tff(a216_type, type, (
% 0.19/0.41     a216: $i)).
% 0.19/0.41  tff(hskp25_type, type, (
% 0.19/0.41     hskp25: $o)).
% 0.19/0.41  tff(hskp17_type, type, (
% 0.19/0.41     hskp17: $o)).
% 0.19/0.41  tff(hskp9_type, type, (
% 0.19/0.41     hskp9: $o)).
% 0.19/0.41  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.41     tptp_fun__i_val_9: $i)).
% 0.19/0.41  tff(a204_type, type, (
% 0.19/0.41     a204: $i)).
% 0.19/0.41  tff(k!0_type, type, (
% 0.19/0.41     k!0: $i > $i)).
% 0.19/0.41  tff(c2_1_type, type, (
% 0.19/0.41     c2_1: $i > $o)).
% 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(formula1, axiom,
% 0.19/0.41      hskp10 <=> $true).
% 0.19/0.41  tff(formula2, axiom,
% 0.19/0.41      hskp20 <=> $false).
% 0.19/0.41  tff(formula3, axiom,
% 0.19/0.41      a199 = $i!val!7).
% 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      a203 = $i!val!8).
% 0.19/0.41  tff(formula6, axiom,
% 0.19/0.41      hskp22 <=> $true).
% 0.19/0.41  tff(formula7, axiom,
% 0.19/0.41      hskp14 <=> $true).
% 0.19/0.41  tff(formula8, axiom,
% 0.19/0.41      hskp23 <=> $true).
% 0.19/0.41  tff(formula9, axiom,
% 0.19/0.41      a222 = $i!val!6).
% 0.19/0.41  tff(formula10, axiom,
% 0.19/0.41      a207 = $i!val!0).
% 0.19/0.41  tff(formula11, axiom,
% 0.19/0.41      hskp21 <=> $true).
% 0.19/0.41  tff(formula12, axiom,
% 0.19/0.41      hskp0 <=> $false).
% 0.19/0.41  tff(formula13, axiom,
% 0.19/0.41      a210 = $i!val!1).
% 0.19/0.41  tff(formula14, axiom,
% 0.19/0.41      hskp24 <=> $false).
% 0.19/0.41  tff(formula15, axiom,
% 0.19/0.41      hskp6 <=> $true).
% 0.19/0.41  tff(formula16, axiom,
% 0.19/0.41      a211 = $i!val!2).
% 0.19/0.41  tff(formula17, axiom,
% 0.19/0.41      a218 = $i!val!13).
% 0.19/0.41  tff(formula18, axiom,
% 0.19/0.41      hskp11 <=> $true).
% 0.19/0.41  tff(formula19, axiom,
% 0.19/0.41      hskp12 <=> $true).
% 0.19/0.41  tff(formula20, axiom,
% 0.19/0.41      a214 = $i!val!11).
% 0.19/0.41  tff(formula21, axiom,
% 0.19/0.41      hskp2 <=> $false).
% 0.19/0.41  tff(formula22, axiom,
% 0.19/0.41      hskp5 <=> $true).
% 0.19/0.41  tff(formula23, axiom,
% 0.19/0.41      a221 = $i!val!5).
% 0.19/0.41  tff(formula24, axiom,
% 0.19/0.41      hskp4 <=> $true).
% 0.19/0.41  tff(formula25, axiom,
% 0.19/0.41      hskp15 <=> $false).
% 0.19/0.41  tff(formula26, axiom,
% 0.19/0.41      a215 = $i!val!3).
% 0.19/0.41  tff(formula27, axiom,
% 0.19/0.41      hskp3 <=> $false).
% 0.19/0.41  tff(formula28, axiom,
% 0.19/0.41      a208 = $i!val!10).
% 0.19/0.41  tff(formula29, axiom,
% 0.19/0.41      hskp18 <=> $false).
% 0.19/0.41  tff(formula30, axiom,
% 0.19/0.41      hskp8 <=> $false).
% 0.19/0.41  tff(formula31, axiom,
% 0.19/0.41      hskp7 <=> $false).
% 0.19/0.41  tff(formula32, axiom,
% 0.19/0.41      hskp16 <=> $false).
% 0.19/0.41  tff(formula33, axiom,
% 0.19/0.41      hskp1 <=> $false).
% 0.19/0.41  tff(formula34, axiom,
% 0.19/0.41      hskp13 <=> $false).
% 0.19/0.41  tff(formula35, axiom,
% 0.19/0.41      a217 = $i!val!4).
% 0.19/0.41  tff(formula36, axiom,
% 0.19/0.41      a216 = $i!val!12).
% 0.19/0.41  tff(formula37, axiom,
% 0.19/0.41      hskp25 <=> $false).
% 0.19/0.41  tff(formula38, axiom,
% 0.19/0.41      hskp17 <=> $true).
% 0.19/0.41  tff(formula39, axiom,
% 0.19/0.41      hskp9 <=> $false).
% 0.19/0.41  tff(formula40, axiom,
% 0.19/0.41      a204 = $i!val!9).
% 0.19/0.41  tff(formula41, axiom,
% 0.19/0.41      ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!13)))).
% 0.19/0.41  tff(formula42, axiom,
% 0.19/0.41      k!0($i!val!7) = $i!val!7).
% 0.19/0.41  tff(formula43, axiom,
% 0.19/0.41      k!0($i!val!8) = $i!val!8).
% 0.19/0.41  tff(formula44, axiom,
% 0.19/0.41      k!0($i!val!3) = $i!val!3).
% 0.19/0.41  tff(formula45, axiom,
% 0.19/0.41      k!0($i!val!10) = $i!val!10).
% 0.19/0.41  tff(formula46, axiom,
% 0.19/0.41      k!0($i!val!0) = $i!val!0).
% 0.19/0.41  tff(formula47, axiom,
% 0.19/0.41      k!0($i!val!6) = $i!val!6).
% 0.19/0.41  tff(formula48, axiom,
% 0.19/0.41      k!0($i!val!1) = $i!val!1).
% 0.19/0.41  tff(formula49, axiom,
% 0.19/0.41      k!0($i!val!2) = $i!val!2).
% 0.19/0.41  tff(formula50, axiom,
% 0.19/0.41      k!0($i!val!13) = $i!val!13).
% 0.19/0.41  tff(formula51, axiom,
% 0.19/0.41      k!0($i!val!4) = $i!val!4).
% 0.19/0.41  tff(formula52, axiom,
% 0.19/0.41      k!0($i!val!12) = $i!val!12).
% 0.19/0.41  tff(formula53, axiom,
% 0.19/0.41      k!0($i!val!11) = $i!val!11).
% 0.19/0.41  tff(formula54, axiom,
% 0.19/0.41      k!0($i!val!9) = $i!val!9).
% 0.19/0.41  tff(formula55, axiom,
% 0.19/0.41      ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!3 = X0)) | (($i!val!10 = X0)) | (($i!val!0 = X0)) | (($i!val!6 = X0)) | (($i!val!1 = X0)) | (($i!val!2 = X0)) | (($i!val!13 = X0)) | (($i!val!4 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)))) => (k!0(X0) = $i!val!5))).
% 0.19/0.41  tff(formula56, axiom,
% 0.19/0.41      ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!7)))).
% 0.19/0.41  tff(formula57, axiom,
% 0.19/0.41      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!7)))).
% 0.19/0.41  tff(formula58, axiom,
% 0.19/0.41      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!7)))).
% 0.19/0.41  % SZS output end Model
%------------------------------------------------------------------------------