TSTP Solution File: SYN494+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN494+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n007.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 23:55:55 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.39s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN494+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n007.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 04:20:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 0.19/0.39  % SZS status CounterSatisfiable
% 0.19/0.39  % SZS output start Model
% 0.19/0.39  tff(hskp10_type, type, (
% 0.19/0.39     hskp10: $o)).
% 0.19/0.39  tff(hskp2_type, type, (
% 0.19/0.39     hskp2: $o)).
% 0.19/0.39  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.39     tptp_fun__i_val_8: $i)).
% 0.19/0.39  tff(a57_type, type, (
% 0.19/0.39     a57: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.39     tptp_fun__i_val_7: $i)).
% 0.19/0.39  tff(a56_type, type, (
% 0.19/0.39     a56: $i)).
% 0.19/0.39  tff(ndr1_0_type, type, (
% 0.19/0.39     ndr1_0: $o)).
% 0.19/0.39  tff(hskp4_type, type, (
% 0.19/0.39     hskp4: $o)).
% 0.19/0.39  tff(hskp3_type, type, (
% 0.19/0.39     hskp3: $o)).
% 0.19/0.39  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.39     tptp_fun__i_val_5: $i)).
% 0.19/0.39  tff(a52_type, type, (
% 0.19/0.39     a52: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.39     tptp_fun__i_val_2: $i)).
% 0.19/0.39  tff(a58_type, type, (
% 0.19/0.39     a58: $i)).
% 0.19/0.39  tff(hskp7_type, type, (
% 0.19/0.39     hskp7: $o)).
% 0.19/0.39  tff(hskp0_type, type, (
% 0.19/0.39     hskp0: $o)).
% 0.19/0.39  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.39     tptp_fun__i_val_1: $i)).
% 0.19/0.39  tff(a53_type, type, (
% 0.19/0.39     a53: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.39     tptp_fun__i_val_4: $i)).
% 0.19/0.39  tff(a51_type, type, (
% 0.19/0.39     a51: $i)).
% 0.19/0.39  tff(hskp6_type, type, (
% 0.19/0.39     hskp6: $o)).
% 0.19/0.39  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.39     tptp_fun__i_val_6: $i)).
% 0.19/0.39  tff(a54_type, type, (
% 0.19/0.39     a54: $i)).
% 0.19/0.39  tff(hskp1_type, type, (
% 0.19/0.39     hskp1: $o)).
% 0.19/0.39  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.39     tptp_fun__i_val_3: $i)).
% 0.19/0.39  tff(a50_type, type, (
% 0.19/0.39     a50: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.39     tptp_fun__i_val_9: $i)).
% 0.19/0.39  tff(a59_type, type, (
% 0.19/0.39     a59: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.39     tptp_fun__i_val_0: $i)).
% 0.19/0.39  tff(a49_type, type, (
% 0.19/0.39     a49: $i)).
% 0.19/0.39  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.39     tptp_fun__i_val_10: $i)).
% 0.19/0.39  tff(a60_type, type, (
% 0.19/0.39     a60: $i)).
% 0.19/0.39  tff(k!0_type, type, (
% 0.19/0.39     k!0: $i > $i)).
% 0.19/0.39  tff(c1_1_type, type, (
% 0.19/0.39     c1_1: $i > $o)).
% 0.19/0.39  tff(c0_1_type, type, (
% 0.19/0.39     c0_1: $i > $o)).
% 0.19/0.39  tff(c3_1_type, type, (
% 0.19/0.39     c3_1: $i > $o)).
% 0.19/0.39  tff(c2_1_type, type, (
% 0.19/0.39     c2_1: $i > $o)).
% 0.19/0.39  tff(formula1, axiom,
% 0.19/0.39      hskp10 <=> $true).
% 0.19/0.39  tff(formula2, axiom,
% 0.19/0.39      hskp2 <=> $true).
% 0.19/0.39  tff(formula3, axiom,
% 0.19/0.39      a57 = $i!val!8).
% 0.19/0.39  tff(formula4, axiom,
% 0.19/0.39      a56 = $i!val!7).
% 0.19/0.39  tff(formula5, axiom,
% 0.19/0.39      ndr1_0 <=> $true).
% 0.19/0.39  tff(formula6, axiom,
% 0.19/0.39      hskp4 <=> $true).
% 0.19/0.39  tff(formula7, axiom,
% 0.19/0.39      hskp3 <=> $true).
% 0.19/0.39  tff(formula8, axiom,
% 0.19/0.39      a52 = $i!val!5).
% 0.19/0.39  tff(formula9, axiom,
% 0.19/0.39      a58 = $i!val!2).
% 0.19/0.39  tff(formula10, axiom,
% 0.19/0.39      hskp7 <=> $false).
% 0.19/0.39  tff(formula11, axiom,
% 0.19/0.39      hskp0 <=> $true).
% 0.19/0.39  tff(formula12, axiom,
% 0.19/0.39      a53 = $i!val!1).
% 0.19/0.39  tff(formula13, axiom,
% 0.19/0.39      a51 = $i!val!4).
% 0.19/0.39  tff(formula14, axiom,
% 0.19/0.39      hskp6 <=> $true).
% 0.19/0.39  tff(formula15, axiom,
% 0.19/0.39      a54 = $i!val!6).
% 0.19/0.39  tff(formula16, axiom,
% 0.19/0.39      hskp1 <=> $true).
% 0.19/0.39  tff(formula17, axiom,
% 0.19/0.39      a50 = $i!val!3).
% 0.19/0.39  tff(formula18, axiom,
% 0.19/0.39      a59 = $i!val!9).
% 0.19/0.39  tff(formula19, axiom,
% 0.19/0.39      a49 = $i!val!0).
% 0.19/0.39  tff(formula20, axiom,
% 0.19/0.39      a60 = $i!val!10).
% 0.19/0.39  tff(formula21, axiom,
% 0.19/0.39      k!0($i!val!1) = $i!val!1).
% 0.19/0.39  tff(formula22, axiom,
% 0.19/0.39      k!0($i!val!4) = $i!val!4).
% 0.19/0.39  tff(formula23, axiom,
% 0.19/0.39      k!0($i!val!5) = $i!val!5).
% 0.19/0.39  tff(formula24, axiom,
% 0.19/0.39      k!0($i!val!7) = $i!val!7).
% 0.19/0.39  tff(formula25, axiom,
% 0.19/0.39      k!0($i!val!6) = $i!val!6).
% 0.19/0.39  tff(formula26, axiom,
% 0.19/0.39      k!0($i!val!8) = $i!val!8).
% 0.19/0.39  tff(formula27, axiom,
% 0.19/0.39      k!0($i!val!3) = $i!val!3).
% 0.19/0.39  tff(formula28, axiom,
% 0.19/0.39      k!0($i!val!9) = $i!val!9).
% 0.19/0.39  tff(formula29, axiom,
% 0.19/0.39      k!0($i!val!10) = $i!val!10).
% 0.19/0.39  tff(formula30, axiom,
% 0.19/0.39      k!0($i!val!0) = $i!val!0).
% 0.19/0.39  tff(formula31, axiom,
% 0.19/0.39      ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!7 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!3 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!0 = X0)))) => (k!0(X0) = $i!val!2))).
% 0.19/0.39  tff(formula32, axiom,
% 0.19/0.39      c1_1($i!val!0) <=> $false).
% 0.19/0.39  tff(formula33, axiom,
% 0.19/0.39      c1_1($i!val!8) <=> $false).
% 0.19/0.39  tff(formula34, axiom,
% 0.19/0.39      c1_1($i!val!9) <=> $false).
% 0.19/0.39  tff(formula35, axiom,
% 0.19/0.39      ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)))) => (c1_1(X0) <=> $true))).
% 0.19/0.39  tff(formula36, axiom,
% 0.19/0.39      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!3)))).
% 0.19/0.39  tff(formula37, axiom,
% 0.19/0.39      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2)))).
% 0.19/0.39  tff(formula38, axiom,
% 0.19/0.39      ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!0)))).
% 0.19/0.39  % SZS output end Model
%------------------------------------------------------------------------------