TSTP Solution File: SYN523-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN523-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n008.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 23:56:10 EDT 2022

% Result   : Satisfiable 0.20s 0.46s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN523-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Sep  5 05:10:40 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.34  Usage: tptp [options] [-file:]file
% 0.11/0.34    -h, -?       prints this message.
% 0.11/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.11/0.34    -m, -model   generate model.
% 0.11/0.34    -p, -proof   generate proof.
% 0.11/0.34    -c, -core    generate unsat core of named formulas.
% 0.11/0.34    -st, -statistics display statistics.
% 0.11/0.34    -t:timeout   set timeout (in second).
% 0.11/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.11/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.34    -<param>:<value> configuration parameter and value.
% 0.11/0.34    -o:<output-file> file to place output in.
% 0.20/0.46  % SZS status Satisfiable
% 0.20/0.46  % SZS output start Model
% 0.20/0.46  tff(c3_0_type, type, (
% 0.20/0.46     c3_0: $o)).
% 0.20/0.46  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.46     tptp_fun__i_val_0: $i)).
% 0.20/0.46  tff(a155_type, type, (
% 0.20/0.46     a155: $i)).
% 0.20/0.46  tff(ssSkC3_type, type, (
% 0.20/0.46     ssSkC3: $o)).
% 0.20/0.46  tff(c1_0_type, type, (
% 0.20/0.46     c1_0: $o)).
% 0.20/0.46  tff(ndr1_0_type, type, (
% 0.20/0.46     ndr1_0: $o)).
% 0.20/0.46  tff(c2_0_type, type, (
% 0.20/0.46     c2_0: $o)).
% 0.20/0.46  tff(a147_type, type, (
% 0.20/0.46     a147: $i)).
% 0.20/0.46  tff(ssSkC2_type, type, (
% 0.20/0.46     ssSkC2: $o)).
% 0.20/0.46  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.46     tptp_fun__i_val_4: $i)).
% 0.20/0.46  tff(a153_type, type, (
% 0.20/0.46     a153: $i)).
% 0.20/0.46  tff(ssSkC0_type, type, (
% 0.20/0.46     ssSkC0: $o)).
% 0.20/0.46  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.46     tptp_fun__i_val_1: $i)).
% 0.20/0.46  tff(a146_type, type, (
% 0.20/0.46     a146: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.46     tptp_fun__i_val_3: $i)).
% 0.20/0.46  tff(a144_type, type, (
% 0.20/0.46     a144: $i)).
% 0.20/0.46  tff(ssSkC1_type, type, (
% 0.20/0.46     ssSkC1: $o)).
% 0.20/0.46  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.46     tptp_fun__i_val_5: $i)).
% 0.20/0.46  tff(a150_type, type, (
% 0.20/0.46     a150: $i)).
% 0.20/0.46  tff(a145_type, type, (
% 0.20/0.46     a145: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.46     tptp_fun__i_val_2: $i)).
% 0.20/0.46  tff(a154_type, type, (
% 0.20/0.46     a154: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.46     tptp_fun__i_val_7: $i)).
% 0.20/0.46  tff(a143_type, type, (
% 0.20/0.46     a143: $i)).
% 0.20/0.46  tff(a156_type, type, (
% 0.20/0.46     a156: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_10_type, type, (
% 0.20/0.46     tptp_fun__i_val_10: $i)).
% 0.20/0.46  tff(a152_type, type, (
% 0.20/0.46     a152: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.46     tptp_fun__i_val_8: $i)).
% 0.20/0.46  tff(a141_type, type, (
% 0.20/0.46     a141: $i)).
% 0.20/0.46  tff(c4_0_type, type, (
% 0.20/0.46     c4_0: $o)).
% 0.20/0.46  tff(a142_type, type, (
% 0.20/0.46     a142: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.46     tptp_fun__i_val_6: $i)).
% 0.20/0.46  tff(a148_type, type, (
% 0.20/0.46     a148: $i)).
% 0.20/0.46  tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.46     tptp_fun__i_val_9: $i)).
% 0.20/0.46  tff(a149_type, type, (
% 0.20/0.46     a149: $i)).
% 0.20/0.46  tff(c5_2_type, type, (
% 0.20/0.46     c5_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c4_1_type, type, (
% 0.20/0.46     c4_1: $i > $o)).
% 0.20/0.46  tff(c5_1_type, type, (
% 0.20/0.46     c5_1: $i > $o)).
% 0.20/0.46  tff(c1_1_type, type, (
% 0.20/0.46     c1_1: $i > $o)).
% 0.20/0.46  tff(c3_1_type, type, (
% 0.20/0.46     c3_1: $i > $o)).
% 0.20/0.46  tff(c3_2_type, type, (
% 0.20/0.46     c3_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(ssSkP0_type, type, (
% 0.20/0.46     ssSkP0: $i > $o)).
% 0.20/0.46  tff(c2_2_type, type, (
% 0.20/0.46     c2_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c4_2_type, type, (
% 0.20/0.46     c4_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(c1_2_type, type, (
% 0.20/0.46     c1_2: ( $i * $i ) > $o)).
% 0.20/0.46  tff(ndr1_1_type, type, (
% 0.20/0.46     ndr1_1: $i > $o)).
% 0.20/0.46  tff(formula1, axiom,
% 0.20/0.46      c3_0 <=> $false).
% 0.20/0.46  tff(formula2, axiom,
% 0.20/0.46      a155 = $i!val!0).
% 0.20/0.46  tff(formula3, axiom,
% 0.20/0.46      ssSkC3 <=> $false).
% 0.20/0.46  tff(formula4, axiom,
% 0.20/0.46      c1_0 <=> $false).
% 0.20/0.46  tff(formula5, axiom,
% 0.20/0.46      ndr1_0 <=> $true).
% 0.20/0.46  tff(formula6, axiom,
% 0.20/0.46      c2_0 <=> $true).
% 0.20/0.46  tff(formula7, axiom,
% 0.20/0.46      a147 = $i!val!0).
% 0.20/0.46  tff(formula8, axiom,
% 0.20/0.46      ssSkC2 <=> $false).
% 0.20/0.46  tff(formula9, axiom,
% 0.20/0.46      a153 = $i!val!4).
% 0.20/0.46  tff(formula10, axiom,
% 0.20/0.46      ssSkC0 <=> $false).
% 0.20/0.46  tff(formula11, axiom,
% 0.20/0.46      a146 = $i!val!1).
% 0.20/0.46  tff(formula12, axiom,
% 0.20/0.46      a144 = $i!val!3).
% 0.20/0.46  tff(formula13, axiom,
% 0.20/0.46      ssSkC1 <=> $false).
% 0.20/0.46  tff(formula14, axiom,
% 0.20/0.46      a150 = $i!val!5).
% 0.20/0.46  tff(formula15, axiom,
% 0.20/0.46      a145 = $i!val!0).
% 0.20/0.46  tff(formula16, axiom,
% 0.20/0.46      a154 = $i!val!2).
% 0.20/0.46  tff(formula17, axiom,
% 0.20/0.46      a143 = $i!val!7).
% 0.20/0.46  tff(formula18, axiom,
% 0.20/0.46      a156 = $i!val!0).
% 0.20/0.46  tff(formula19, axiom,
% 0.20/0.46      a152 = $i!val!10).
% 0.20/0.46  tff(formula20, axiom,
% 0.20/0.46      a141 = $i!val!8).
% 0.20/0.46  tff(formula21, axiom,
% 0.20/0.46      c4_0 <=> $false).
% 0.20/0.46  tff(formula22, axiom,
% 0.20/0.46      a142 = $i!val!0).
% 0.20/0.46  tff(formula23, axiom,
% 0.20/0.46      a148 = $i!val!6).
% 0.20/0.46  tff(formula24, axiom,
% 0.20/0.46      a149 = $i!val!9).
% 0.20/0.46  tff(formula25, axiom,
% 0.20/0.46      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!5) & (ite_t((X0 = $i!val!9), $i!val!9, $i!val!8) = $i!val!9)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!4) & (ite_t((X0 = $i!val!9), $i!val!9, $i!val!8) = $i!val!9))))).
% 0.20/0.46  tff(formula26, axiom,
% 0.20/0.46      ![X0: $i] : (c4_1(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!6) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!10) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!1) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!2) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!0)))).
% 0.20/0.47  tff(formula27, axiom,
% 0.20/0.47      ![X0: $i] : (c5_1(X0) <=> $false)).
% 0.20/0.47  tff(formula28, axiom,
% 0.20/0.47      ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.20/0.47  tff(formula29, axiom,
% 0.20/0.47      ![X0: $i] : (c3_1(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!3) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!7)))).
% 0.20/0.47  tff(formula30, axiom,
% 0.20/0.47      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.20/0.47  tff(formula31, axiom,
% 0.20/0.47      ![X0: $i] : (ssSkP0(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!10) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!3) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!2)))).
% 0.20/0.47  tff(formula32, axiom,
% 0.20/0.47      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.20/0.47  tff(formula33, axiom,
% 0.20/0.47      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!5) & (ite_t((X0 = $i!val!9), $i!val!9, $i!val!8) = $i!val!9)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!4) & (ite_t((X0 = $i!val!9), $i!val!9, $i!val!8) = $i!val!9))))).
% 0.20/0.47  tff(formula34, axiom,
% 0.20/0.47      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.47  tff(formula35, axiom,
% 0.20/0.47      ![X0: $i] : (ndr1_1(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!7) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!4) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!5) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!6) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!1) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, $i!val!7)))))))) = $i!val!0)))).
% 0.20/0.47  % SZS output end Model
%------------------------------------------------------------------------------