TSTP Solution File: SYN463+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN463+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n004.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 23:55:38 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.46s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SYN463+1 : TPTP v8.1.0. Released v2.1.0.
% 0.09/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Sep  5 03:58:19 EDT 2022
% 0.12/0.34  % 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.
% 0.19/0.46  % SZS status CounterSatisfiable
% 0.19/0.46  % SZS output start Model
% 0.19/0.46  tff(hskp10_type, type, (
% 0.19/0.46     hskp10: $o)).
% 0.19/0.46  tff(hskp29_type, type, (
% 0.19/0.46     hskp29: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.46     tptp_fun__i_val_10: $i)).
% 0.19/0.46  tff(a1270_type, type, (
% 0.19/0.46     a1270: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.46     tptp_fun__i_val_12: $i)).
% 0.19/0.46  tff(a1277_type, type, (
% 0.19/0.46     a1277: $i)).
% 0.19/0.46  tff(ndr1_0_type, type, (
% 0.19/0.46     ndr1_0: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.46     tptp_fun__i_val_4: $i)).
% 0.19/0.46  tff(a1261_type, type, (
% 0.19/0.46     a1261: $i)).
% 0.19/0.46  tff(hskp22_type, type, (
% 0.19/0.46     hskp22: $o)).
% 0.19/0.46  tff(hskp14_type, type, (
% 0.19/0.46     hskp14: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.46     tptp_fun__i_val_0: $i)).
% 0.19/0.46  tff(a1252_type, type, (
% 0.19/0.46     a1252: $i)).
% 0.19/0.46  tff(hskp21_type, type, (
% 0.19/0.46     hskp21: $o)).
% 0.19/0.46  tff(hskp0_type, type, (
% 0.19/0.46     hskp0: $o)).
% 0.19/0.46  tff(hskp26_type, type, (
% 0.19/0.46     hskp26: $o)).
% 0.19/0.46  tff(hskp24_type, type, (
% 0.19/0.46     hskp24: $o)).
% 0.19/0.46  tff(hskp6_type, type, (
% 0.19/0.46     hskp6: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.46     tptp_fun__i_val_3: $i)).
% 0.19/0.46  tff(a1257_type, type, (
% 0.19/0.46     a1257: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_20_type, type, (
% 0.19/0.46     tptp_fun__i_val_20: $i)).
% 0.19/0.46  tff(a1280_type, type, (
% 0.19/0.46     a1280: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.46     tptp_fun__i_val_11: $i)).
% 0.19/0.46  tff(a1272_type, type, (
% 0.19/0.46     a1272: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.46     tptp_fun__i_val_9: $i)).
% 0.19/0.46  tff(a1268_type, type, (
% 0.19/0.46     a1268: $i)).
% 0.19/0.46  tff(hskp2_type, type, (
% 0.19/0.46     hskp2: $o)).
% 0.19/0.46  tff(hskp5_type, type, (
% 0.19/0.46     hskp5: $o)).
% 0.19/0.46  tff(hskp4_type, type, (
% 0.19/0.46     hskp4: $o)).
% 0.19/0.46  tff(hskp15_type, type, (
% 0.19/0.46     hskp15: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_19_type, type, (
% 0.19/0.46     tptp_fun__i_val_19: $i)).
% 0.19/0.46  tff(a1259_type, type, (
% 0.19/0.46     a1259: $i)).
% 0.19/0.46  tff(hskp7_type, type, (
% 0.19/0.46     hskp7: $o)).
% 0.19/0.46  tff(hskp1_type, type, (
% 0.19/0.46     hskp1: $o)).
% 0.19/0.46  tff(hskp17_type, type, (
% 0.19/0.46     hskp17: $o)).
% 0.19/0.46  tff(hskp20_type, type, (
% 0.19/0.46     hskp20: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.46     tptp_fun__i_val_5: $i)).
% 0.19/0.46  tff(a1263_type, type, (
% 0.19/0.46     a1263: $i)).
% 0.19/0.46  tff(hskp23_type, type, (
% 0.19/0.46     hskp23: $o)).
% 0.19/0.46  tff(hskp28_type, type, (
% 0.19/0.46     hskp28: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.46     tptp_fun__i_val_7: $i)).
% 0.19/0.46  tff(a1265_type, type, (
% 0.19/0.46     a1265: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_18_type, type, (
% 0.19/0.46     tptp_fun__i_val_18: $i)).
% 0.19/0.46  tff(a1253_type, type, (
% 0.19/0.46     a1253: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_16_type, type, (
% 0.19/0.46     tptp_fun__i_val_16: $i)).
% 0.19/0.46  tff(a1303_type, type, (
% 0.19/0.46     a1303: $i)).
% 0.19/0.46  tff(hskp11_type, type, (
% 0.19/0.46     hskp11: $o)).
% 0.19/0.46  tff(hskp12_type, type, (
% 0.19/0.46     hskp12: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.46     tptp_fun__i_val_13: $i)).
% 0.19/0.46  tff(a1279_type, type, (
% 0.19/0.46     a1279: $i)).
% 0.19/0.46  tff(hskp19_type, type, (
% 0.19/0.46     hskp19: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.46     tptp_fun__i_val_1: $i)).
% 0.19/0.46  tff(a1255_type, type, (
% 0.19/0.46     a1255: $i)).
% 0.19/0.46  tff(hskp27_type, type, (
% 0.19/0.46     hskp27: $o)).
% 0.19/0.46  tff(hskp3_type, type, (
% 0.19/0.46     hskp3: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.46     tptp_fun__i_val_14: $i)).
% 0.19/0.46  tff(a1283_type, type, (
% 0.19/0.46     a1283: $i)).
% 0.19/0.46  tff(hskp8_type, type, (
% 0.19/0.46     hskp8: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_17_type, type, (
% 0.19/0.46     tptp_fun__i_val_17: $i)).
% 0.19/0.46  tff(a1250_type, type, (
% 0.19/0.46     a1250: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.46     tptp_fun__i_val_6: $i)).
% 0.19/0.46  tff(a1264_type, type, (
% 0.19/0.46     a1264: $i)).
% 0.19/0.46  tff(hskp16_type, type, (
% 0.19/0.46     hskp16: $o)).
% 0.19/0.46  tff(hskp13_type, type, (
% 0.19/0.46     hskp13: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.46     tptp_fun__i_val_8: $i)).
% 0.19/0.46  tff(a1266_type, type, (
% 0.19/0.46     a1266: $i)).
% 0.19/0.46  tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.46     tptp_fun__i_val_15: $i)).
% 0.19/0.46  tff(a1288_type, type, (
% 0.19/0.46     a1288: $i)).
% 0.19/0.46  tff(hskp9_type, type, (
% 0.19/0.46     hskp9: $o)).
% 0.19/0.46  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.46     tptp_fun__i_val_2: $i)).
% 0.19/0.46  tff(a1256_type, type, (
% 0.19/0.46     a1256: $i)).
% 0.19/0.46  tff(k!0_type, type, (
% 0.19/0.46     k!0: $i > $i)).
% 0.19/0.46  tff(c2_1_type, type, (
% 0.19/0.46     c2_1: $i > $o)).
% 0.19/0.46  tff(c0_1_type, type, (
% 0.19/0.46     c0_1: $i > $o)).
% 0.19/0.46  tff(c1_1_type, type, (
% 0.19/0.46     c1_1: $i > $o)).
% 0.19/0.46  tff(c3_1_type, type, (
% 0.19/0.46     c3_1: $i > $o)).
% 0.19/0.46  tff(formula1, axiom,
% 0.19/0.46      hskp10 <=> $true).
% 0.19/0.46  tff(formula2, axiom,
% 0.19/0.46      hskp29 <=> $true).
% 0.19/0.46  tff(formula3, axiom,
% 0.19/0.46      a1270 = $i!val!10).
% 0.19/0.46  tff(formula4, axiom,
% 0.19/0.46      a1277 = $i!val!12).
% 0.19/0.46  tff(formula5, axiom,
% 0.19/0.46      ndr1_0 <=> $true).
% 0.19/0.46  tff(formula6, axiom,
% 0.19/0.46      a1261 = $i!val!4).
% 0.19/0.46  tff(formula7, axiom,
% 0.19/0.46      hskp22 <=> $false).
% 0.19/0.46  tff(formula8, axiom,
% 0.19/0.46      hskp14 <=> $true).
% 0.19/0.46  tff(formula9, axiom,
% 0.19/0.46      a1252 = $i!val!0).
% 0.19/0.46  tff(formula10, axiom,
% 0.19/0.46      hskp21 <=> $true).
% 0.19/0.46  tff(formula11, axiom,
% 0.19/0.46      hskp0 <=> $false).
% 0.19/0.46  tff(formula12, axiom,
% 0.19/0.46      hskp26 <=> $true).
% 0.19/0.46  tff(formula13, axiom,
% 0.19/0.46      hskp24 <=> $false).
% 0.19/0.46  tff(formula14, axiom,
% 0.19/0.46      hskp6 <=> $false).
% 0.19/0.46  tff(formula15, axiom,
% 0.19/0.46      a1257 = $i!val!3).
% 0.19/0.46  tff(formula16, axiom,
% 0.19/0.46      a1280 = $i!val!20).
% 0.19/0.46  tff(formula17, axiom,
% 0.19/0.46      a1272 = $i!val!11).
% 0.19/0.46  tff(formula18, axiom,
% 0.19/0.46      a1268 = $i!val!9).
% 0.19/0.46  tff(formula19, axiom,
% 0.19/0.46      hskp2 <=> $true).
% 0.19/0.46  tff(formula20, axiom,
% 0.19/0.46      hskp5 <=> $false).
% 0.19/0.46  tff(formula21, axiom,
% 0.19/0.46      hskp4 <=> $true).
% 0.19/0.46  tff(formula22, axiom,
% 0.19/0.46      hskp15 <=> $true).
% 0.19/0.46  tff(formula23, axiom,
% 0.19/0.46      a1259 = $i!val!19).
% 0.19/0.46  tff(formula24, axiom,
% 0.19/0.46      hskp7 <=> $true).
% 0.19/0.46  tff(formula25, axiom,
% 0.19/0.46      hskp1 <=> $false).
% 0.19/0.46  tff(formula26, axiom,
% 0.19/0.46      hskp17 <=> $true).
% 0.19/0.46  tff(formula27, axiom,
% 0.19/0.46      hskp20 <=> $false).
% 0.19/0.46  tff(formula28, axiom,
% 0.19/0.46      a1263 = $i!val!5).
% 0.19/0.46  tff(formula29, axiom,
% 0.19/0.46      hskp23 <=> $false).
% 0.19/0.46  tff(formula30, axiom,
% 0.19/0.46      hskp28 <=> $true).
% 0.19/0.46  tff(formula31, axiom,
% 0.19/0.46      a1265 = $i!val!7).
% 0.19/0.46  tff(formula32, axiom,
% 0.19/0.46      a1253 = $i!val!18).
% 0.19/0.46  tff(formula33, axiom,
% 0.19/0.46      a1303 = $i!val!16).
% 0.19/0.46  tff(formula34, axiom,
% 0.19/0.46      hskp11 <=> $false).
% 0.19/0.46  tff(formula35, axiom,
% 0.19/0.46      hskp12 <=> $true).
% 0.19/0.46  tff(formula36, axiom,
% 0.19/0.46      a1279 = $i!val!13).
% 0.19/0.46  tff(formula37, axiom,
% 0.19/0.46      hskp19 <=> $true).
% 0.19/0.46  tff(formula38, axiom,
% 0.19/0.46      a1255 = $i!val!1).
% 0.19/0.46  tff(formula39, axiom,
% 0.19/0.46      hskp27 <=> $true).
% 0.19/0.46  tff(formula40, axiom,
% 0.19/0.46      hskp3 <=> $true).
% 0.19/0.46  tff(formula41, axiom,
% 0.19/0.46      a1283 = $i!val!14).
% 0.19/0.46  tff(formula42, axiom,
% 0.19/0.46      hskp8 <=> $false).
% 0.19/0.46  tff(formula43, axiom,
% 0.19/0.46      a1250 = $i!val!17).
% 0.19/0.46  tff(formula44, axiom,
% 0.19/0.46      a1264 = $i!val!6).
% 0.19/0.46  tff(formula45, axiom,
% 0.19/0.46      hskp16 <=> $false).
% 0.19/0.46  tff(formula46, axiom,
% 0.19/0.46      hskp13 <=> $true).
% 0.19/0.46  tff(formula47, axiom,
% 0.19/0.46      a1266 = $i!val!8).
% 0.19/0.46  tff(formula48, axiom,
% 0.19/0.46      a1288 = $i!val!15).
% 0.19/0.46  tff(formula49, axiom,
% 0.19/0.46      hskp9 <=> $true).
% 0.19/0.46  tff(formula50, axiom,
% 0.19/0.46      a1256 = $i!val!2).
% 0.19/0.46  tff(formula51, axiom,
% 0.19/0.46      ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!18)))).
% 0.19/0.46  tff(formula52, axiom,
% 0.19/0.46      k!0($i!val!15) = $i!val!15).
% 0.19/0.46  tff(formula53, axiom,
% 0.19/0.46      k!0($i!val!10) = $i!val!10).
% 0.19/0.46  tff(formula54, axiom,
% 0.19/0.46      k!0($i!val!5) = $i!val!5).
% 0.19/0.46  tff(formula55, axiom,
% 0.19/0.46      k!0($i!val!12) = $i!val!12).
% 0.19/0.46  tff(formula56, axiom,
% 0.19/0.46      k!0($i!val!4) = $i!val!4).
% 0.19/0.46  tff(formula57, axiom,
% 0.19/0.46      k!0($i!val!7) = $i!val!7).
% 0.19/0.46  tff(formula58, axiom,
% 0.19/0.46      k!0($i!val!14) = $i!val!14).
% 0.19/0.46  tff(formula59, axiom,
% 0.19/0.46      k!0($i!val!19) = $i!val!19).
% 0.19/0.46  tff(formula60, axiom,
% 0.19/0.46      k!0($i!val!17) = $i!val!17).
% 0.19/0.46  tff(formula61, axiom,
% 0.19/0.46      k!0($i!val!0) = $i!val!0).
% 0.19/0.46  tff(formula62, axiom,
% 0.19/0.46      k!0($i!val!18) = $i!val!18).
% 0.19/0.46  tff(formula63, axiom,
% 0.19/0.46      k!0($i!val!16) = $i!val!16).
% 0.19/0.46  tff(formula64, axiom,
% 0.19/0.46      k!0($i!val!6) = $i!val!6).
% 0.19/0.46  tff(formula65, axiom,
% 0.19/0.46      k!0($i!val!3) = $i!val!3).
% 0.19/0.46  tff(formula66, axiom,
% 0.19/0.46      k!0($i!val!8) = $i!val!8).
% 0.19/0.46  tff(formula67, axiom,
% 0.19/0.46      k!0($i!val!20) = $i!val!20).
% 0.19/0.46  tff(formula68, axiom,
% 0.19/0.46      k!0($i!val!11) = $i!val!11).
% 0.19/0.46  tff(formula69, axiom,
% 0.19/0.46      k!0($i!val!13) = $i!val!13).
% 0.19/0.46  tff(formula70, axiom,
% 0.19/0.46      k!0($i!val!9) = $i!val!9).
% 0.19/0.46  tff(formula71, axiom,
% 0.19/0.46      k!0($i!val!2) = $i!val!2).
% 0.19/0.46  tff(formula72, axiom,
% 0.19/0.46      ![X0: $i] : ((~((($i!val!15 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!12 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!14 = X0)) | (($i!val!19 = X0)) | (($i!val!17 = X0)) | (($i!val!0 = X0)) | (($i!val!18 = X0)) | (($i!val!16 = X0)) | (($i!val!6 = X0)) | (($i!val!3 = X0)) | (($i!val!8 = X0)) | (($i!val!20 = X0)) | (($i!val!11 = X0)) | (($i!val!13 = X0)) | (($i!val!9 = X0)) | (($i!val!2 = X0)))) => (k!0(X0) = $i!val!1))).
% 0.19/0.46  tff(formula73, axiom,
% 0.19/0.46      ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!18)))).
% 0.19/0.46  tff(formula74, axiom,
% 0.19/0.46      ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!12)))).
% 0.19/0.47  tff(formula75, axiom,
% 0.19/0.47      ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!12)))).
% 0.19/0.47  % SZS output end Model
%------------------------------------------------------------------------------