TSTP Solution File: SYN516-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN516-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n027.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 23:56:07 EDT 2022

% Result   : Satisfiable 0.14s 0.40s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN516-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Sep  5 05:12:52 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34  Usage: tptp [options] [-file:]file
% 0.14/0.34    -h, -?       prints this message.
% 0.14/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.34    -m, -model   generate model.
% 0.14/0.34    -p, -proof   generate proof.
% 0.14/0.34    -c, -core    generate unsat core of named formulas.
% 0.14/0.34    -st, -statistics display statistics.
% 0.14/0.34    -t:timeout   set timeout (in second).
% 0.14/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34    -<param>:<value> configuration parameter and value.
% 0.14/0.34    -o:<output-file> file to place output in.
% 0.14/0.40  % SZS status Satisfiable
% 0.14/0.40  % SZS output start Model
% 0.14/0.40  tff(tptp_fun__i_val_1_type, type, (
% 0.14/0.40     tptp_fun__i_val_1: $i)).
% 0.14/0.40  tff(a36_type, type, (
% 0.14/0.40     a36: $i)).
% 0.14/0.40  tff(ssSkC4_type, type, (
% 0.14/0.40     ssSkC4: $o)).
% 0.14/0.40  tff(ssSkC3_type, type, (
% 0.14/0.40     ssSkC3: $o)).
% 0.14/0.40  tff(ndr1_0_type, type, (
% 0.14/0.40     ndr1_0: $o)).
% 0.14/0.40  tff(a48_type, type, (
% 0.14/0.40     a48: $i)).
% 0.14/0.40  tff(ssSkC2_type, type, (
% 0.14/0.40     ssSkC2: $o)).
% 0.14/0.40  tff(tptp_fun__i_val_0_type, type, (
% 0.14/0.40     tptp_fun__i_val_0: $i)).
% 0.14/0.40  tff(a30_type, type, (
% 0.14/0.40     a30: $i)).
% 0.14/0.40  tff(ssSkC0_type, type, (
% 0.14/0.40     ssSkC0: $o)).
% 0.14/0.40  tff(tptp_fun__i_val_13_type, type, (
% 0.14/0.40     tptp_fun__i_val_13: $i)).
% 0.14/0.40  tff(a34_type, type, (
% 0.14/0.40     a34: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_3_type, type, (
% 0.14/0.40     tptp_fun__i_val_3: $i)).
% 0.14/0.40  tff(a31_type, type, (
% 0.14/0.40     a31: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_10_type, type, (
% 0.14/0.40     tptp_fun__i_val_10: $i)).
% 0.14/0.40  tff(a32_type, type, (
% 0.14/0.40     a32: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_5_type, type, (
% 0.14/0.40     tptp_fun__i_val_5: $i)).
% 0.14/0.40  tff(a43_type, type, (
% 0.14/0.40     a43: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_2_type, type, (
% 0.14/0.40     tptp_fun__i_val_2: $i)).
% 0.14/0.40  tff(a41_type, type, (
% 0.14/0.40     a41: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_8_type, type, (
% 0.14/0.40     tptp_fun__i_val_8: $i)).
% 0.14/0.40  tff(a42_type, type, (
% 0.14/0.40     a42: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_12_type, type, (
% 0.14/0.40     tptp_fun__i_val_12: $i)).
% 0.14/0.40  tff(a45_type, type, (
% 0.14/0.40     a45: $i)).
% 0.14/0.40  tff(c1_0_type, type, (
% 0.14/0.40     c1_0: $o)).
% 0.14/0.40  tff(tptp_fun__i_val_6_type, type, (
% 0.14/0.40     tptp_fun__i_val_6: $i)).
% 0.14/0.40  tff(a46_type, type, (
% 0.14/0.40     a46: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_14_type, type, (
% 0.14/0.40     tptp_fun__i_val_14: $i)).
% 0.14/0.40  tff(a35_type, type, (
% 0.14/0.40     a35: $i)).
% 0.14/0.40  tff(a37_type, type, (
% 0.14/0.40     a37: $i)).
% 0.14/0.40  tff(ssSkC5_type, type, (
% 0.14/0.40     ssSkC5: $o)).
% 0.14/0.40  tff(tptp_fun__i_val_7_type, type, (
% 0.14/0.40     tptp_fun__i_val_7: $i)).
% 0.14/0.40  tff(a44_type, type, (
% 0.14/0.40     a44: $i)).
% 0.14/0.40  tff(a39_type, type, (
% 0.14/0.40     a39: $i)).
% 0.14/0.40  tff(a27_type, type, (
% 0.14/0.40     a27: $i)).
% 0.14/0.40  tff(a29_type, type, (
% 0.14/0.40     a29: $i)).
% 0.14/0.40  tff(ssSkC1_type, type, (
% 0.14/0.40     ssSkC1: $o)).
% 0.14/0.40  tff(a28_type, type, (
% 0.14/0.40     a28: $i)).
% 0.14/0.40  tff(a38_type, type, (
% 0.14/0.40     a38: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_9_type, type, (
% 0.14/0.40     tptp_fun__i_val_9: $i)).
% 0.14/0.40  tff(a33_type, type, (
% 0.14/0.40     a33: $i)).
% 0.14/0.40  tff(tptp_fun__i_val_4_type, type, (
% 0.14/0.40     tptp_fun__i_val_4: $i)).
% 0.14/0.40  tff(a47_type, type, (
% 0.14/0.40     a47: $i)).
% 0.14/0.40  tff(c5_0_type, type, (
% 0.14/0.40     c5_0: $o)).
% 0.14/0.40  tff(c4_0_type, type, (
% 0.14/0.40     c4_0: $o)).
% 0.14/0.40  tff(tptp_fun__i_val_11_type, type, (
% 0.14/0.40     tptp_fun__i_val_11: $i)).
% 0.14/0.40  tff(a49_type, type, (
% 0.14/0.40     a49: $i)).
% 0.14/0.40  tff(c3_0_type, type, (
% 0.14/0.40     c3_0: $o)).
% 0.14/0.40  tff(c2_0_type, type, (
% 0.14/0.40     c2_0: $o)).
% 0.14/0.40  tff(c5_2_type, type, (
% 0.14/0.40     c5_2: ( $i * $i ) > $o)).
% 0.14/0.40  tff(c4_1_type, type, (
% 0.14/0.40     c4_1: $i > $o)).
% 0.14/0.40  tff(c5_1_type, type, (
% 0.14/0.40     c5_1: $i > $o)).
% 0.14/0.40  tff(c3_2_type, type, (
% 0.14/0.40     c3_2: ( $i * $i ) > $o)).
% 0.14/0.40  tff(c2_2_type, type, (
% 0.14/0.40     c2_2: ( $i * $i ) > $o)).
% 0.14/0.40  tff(c4_2_type, type, (
% 0.14/0.40     c4_2: ( $i * $i ) > $o)).
% 0.14/0.40  tff(c1_1_type, type, (
% 0.14/0.40     c1_1: $i > $o)).
% 0.14/0.40  tff(c1_2_type, type, (
% 0.14/0.40     c1_2: ( $i * $i ) > $o)).
% 0.14/0.40  tff(c2_1_type, type, (
% 0.14/0.40     c2_1: $i > $o)).
% 0.14/0.40  tff(ndr1_1_type, type, (
% 0.14/0.40     ndr1_1: $i > $o)).
% 0.14/0.40  tff(c3_1_type, type, (
% 0.14/0.40     c3_1: $i > $o)).
% 0.14/0.40  tff(formula1, axiom,
% 0.14/0.40      a36 = $i!val!1).
% 0.14/0.40  tff(formula2, axiom,
% 0.14/0.40      ssSkC4 <=> $false).
% 0.14/0.40  tff(formula3, axiom,
% 0.14/0.40      ssSkC3 <=> $true).
% 0.14/0.40  tff(formula4, axiom,
% 0.14/0.40      ndr1_0 <=> $true).
% 0.14/0.40  tff(formula5, axiom,
% 0.14/0.40      a48 = $i!val!1).
% 0.14/0.40  tff(formula6, axiom,
% 0.14/0.40      ssSkC2 <=> $false).
% 0.14/0.40  tff(formula7, axiom,
% 0.14/0.40      a30 = $i!val!0).
% 0.14/0.40  tff(formula8, axiom,
% 0.14/0.40      ssSkC0 <=> $true).
% 0.14/0.40  tff(formula9, axiom,
% 0.14/0.40      a34 = $i!val!13).
% 0.14/0.40  tff(formula10, axiom,
% 0.14/0.40      a31 = $i!val!3).
% 0.14/0.40  tff(formula11, axiom,
% 0.14/0.40      a32 = $i!val!10).
% 0.14/0.40  tff(formula12, axiom,
% 0.14/0.40      a43 = $i!val!5).
% 0.14/0.40  tff(formula13, axiom,
% 0.14/0.40      a41 = $i!val!2).
% 0.14/0.40  tff(formula14, axiom,
% 0.14/0.40      a42 = $i!val!8).
% 0.14/0.40  tff(formula15, axiom,
% 0.14/0.40      a45 = $i!val!12).
% 0.14/0.40  tff(formula16, axiom,
% 0.14/0.40      c1_0 <=> $false).
% 0.14/0.40  tff(formula17, axiom,
% 0.14/0.40      a46 = $i!val!6).
% 0.14/0.40  tff(formula18, axiom,
% 0.14/0.40      a35 = $i!val!14).
% 0.14/0.40  tff(formula19, axiom,
% 0.14/0.40      a37 = $i!val!1).
% 0.14/0.40  tff(formula20, axiom,
% 0.14/0.40      ssSkC5 <=> $false).
% 0.14/0.40  tff(formula21, axiom,
% 0.14/0.40      a44 = $i!val!7).
% 0.14/0.40  tff(formula22, axiom,
% 0.14/0.40      a39 = $i!val!1).
% 0.14/0.40  tff(formula23, axiom,
% 0.14/0.40      a27 = $i!val!1).
% 0.14/0.40  tff(formula24, axiom,
% 0.14/0.40      a29 = $i!val!1).
% 0.14/0.40  tff(formula25, axiom,
% 0.14/0.40      ssSkC1 <=> $true).
% 0.14/0.40  tff(formula26, axiom,
% 0.14/0.40      a28 = $i!val!1).
% 0.14/0.40  tff(formula27, axiom,
% 0.14/0.40      a38 = $i!val!1).
% 0.14/0.40  tff(formula28, axiom,
% 0.14/0.40      a33 = $i!val!9).
% 0.14/0.40  tff(formula29, axiom,
% 0.14/0.40      a47 = $i!val!4).
% 0.14/0.40  tff(formula30, axiom,
% 0.20/0.41      c5_0 <=> $true).
% 0.20/0.41  tff(formula31, axiom,
% 0.20/0.41      c4_0 <=> $false).
% 0.20/0.41  tff(formula32, axiom,
% 0.20/0.41      a49 = $i!val!11).
% 0.20/0.41  tff(formula33, axiom,
% 0.20/0.41      c3_0 <=> $true).
% 0.20/0.41  tff(formula34, axiom,
% 0.20/0.41      c2_0 <=> $true).
% 0.20/0.41  tff(formula35, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula36, axiom,
% 0.20/0.41      ![X0: $i] : (c4_1(X0) <=> $false)).
% 0.20/0.41  tff(formula37, axiom,
% 0.20/0.41      ![X0: $i] : (c5_1(X0) <=> $false)).
% 0.20/0.41  tff(formula38, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula39, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula40, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula41, axiom,
% 0.20/0.41      ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.20/0.41  tff(formula42, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula43, axiom,
% 0.20/0.41      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.20/0.41  tff(formula44, axiom,
% 0.20/0.41      ![X0: $i] : (ndr1_1(X0) <=> $false)).
% 0.20/0.41  tff(formula45, axiom,
% 0.20/0.41      ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.20/0.41  % SZS output end Model
%------------------------------------------------------------------------------