TSTP Solution File: SYN531+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN531+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n006.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 23:56:14 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.43s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN531+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 05:14:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.19/0.43  % SZS status CounterSatisfiable
% 0.19/0.43  % SZS output start Model
% 0.19/0.43  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.43     tptp_fun__i_val_7: $i)).
% 0.19/0.43  tff(a389_type, type, (
% 0.19/0.43     a389: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.43     tptp_fun__i_val_2: $i)).
% 0.19/0.43  tff(a393_type, type, (
% 0.19/0.43     a393: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.43     tptp_fun__i_val_3: $i)).
% 0.19/0.43  tff(a407_type, type, (
% 0.19/0.43     a407: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.43     tptp_fun__i_val_5: $i)).
% 0.19/0.43  tff(a409_type, type, (
% 0.19/0.43     a409: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.43     tptp_fun__i_val_0: $i)).
% 0.19/0.43  tff(a390_type, type, (
% 0.19/0.43     a390: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.43     tptp_fun__i_val_6: $i)).
% 0.19/0.43  tff(a405_type, type, (
% 0.19/0.43     a405: $i)).
% 0.19/0.43  tff(ndr1_0_type, type, (
% 0.19/0.43     ndr1_0: $o)).
% 0.19/0.43  tff(c2_0_type, type, (
% 0.19/0.43     c2_0: $o)).
% 0.19/0.43  tff(c5_0_type, type, (
% 0.19/0.43     c5_0: $o)).
% 0.19/0.43  tff(c4_0_type, type, (
% 0.19/0.43     c4_0: $o)).
% 0.19/0.43  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.43     tptp_fun__i_val_1: $i)).
% 0.19/0.43  tff(a392_type, type, (
% 0.19/0.43     a392: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.43     tptp_fun__i_val_4: $i)).
% 0.19/0.43  tff(a408_type, type, (
% 0.19/0.43     a408: $i)).
% 0.19/0.43  tff(c3_0_type, type, (
% 0.19/0.43     c3_0: $o)).
% 0.19/0.43  tff(c5_2_type, type, (
% 0.19/0.43     c5_2: ( $i * $i ) > $o)).
% 0.19/0.43  tff(c4_1_type, type, (
% 0.19/0.43     c4_1: $i > $o)).
% 0.19/0.43  tff(c5_1_type, type, (
% 0.19/0.43     c5_1: $i > $o)).
% 0.19/0.43  tff(c1_1_type, type, (
% 0.19/0.43     c1_1: $i > $o)).
% 0.19/0.43  tff(c3_1_type, type, (
% 0.19/0.43     c3_1: $i > $o)).
% 0.19/0.43  tff(c2_1_type, type, (
% 0.19/0.43     c2_1: $i > $o)).
% 0.19/0.43  tff(c3_2_type, type, (
% 0.19/0.43     c3_2: ( $i * $i ) > $o)).
% 0.19/0.43  tff(c2_2_type, type, (
% 0.19/0.43     c2_2: ( $i * $i ) > $o)).
% 0.19/0.43  tff(c1_2_type, type, (
% 0.19/0.43     c1_2: ( $i * $i ) > $o)).
% 0.19/0.43  tff(ndr1_1_type, type, (
% 0.19/0.43     ndr1_1: $i > $o)).
% 0.19/0.43  tff(formula1, axiom,
% 0.19/0.43      a389 = $i!val!7).
% 0.19/0.43  tff(formula2, axiom,
% 0.19/0.43      a393 = $i!val!2).
% 0.19/0.43  tff(formula3, axiom,
% 0.19/0.43      a407 = $i!val!3).
% 0.19/0.43  tff(formula4, axiom,
% 0.19/0.43      a409 = $i!val!5).
% 0.19/0.43  tff(formula5, axiom,
% 0.19/0.43      a390 = $i!val!0).
% 0.19/0.43  tff(formula6, axiom,
% 0.19/0.43      a405 = $i!val!6).
% 0.19/0.43  tff(formula7, axiom,
% 0.19/0.43      ndr1_0 <=> $true).
% 0.19/0.43  tff(formula8, axiom,
% 0.19/0.43      c2_0 <=> $false).
% 0.19/0.43  tff(formula9, axiom,
% 0.19/0.43      c5_0 <=> $false).
% 0.19/0.43  tff(formula10, axiom,
% 0.19/0.43      c4_0 <=> $true).
% 0.19/0.43  tff(formula11, axiom,
% 0.19/0.43      a392 = $i!val!1).
% 0.19/0.43  tff(formula12, axiom,
% 0.19/0.43      a408 = $i!val!4).
% 0.19/0.43  tff(formula13, axiom,
% 0.19/0.43      c3_0 <=> $true).
% 0.19/0.43  tff(formula14, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.19/0.43  tff(formula15, axiom,
% 0.19/0.43      ![X0: $i] : (c4_1(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!2)))).
% 0.19/0.43  tff(formula16, axiom,
% 0.19/0.43      ![X0: $i] : (c5_1(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!0) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!1)))).
% 0.19/0.43  tff(formula17, axiom,
% 0.19/0.43      ![X0: $i] : (c1_1(X0) <=> (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!1))).
% 0.19/0.43  tff(formula18, axiom,
% 0.19/0.43      ![X0: $i] : (c3_1(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!1) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3)))).
% 0.19/0.43  tff(formula19, axiom,
% 0.19/0.43      ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.19/0.43  tff(formula20, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.19/0.43  tff(formula21, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, $i!val!6))) = $i!val!5)))).
% 0.19/0.43  tff(formula22, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, $i!val!6))) = $i!val!7)) | ((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, $i!val!6))) = $i!val!4)) | ((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, $i!val!6))) = $i!val!5))))).
% 0.19/0.43  tff(formula23, axiom,
% 0.19/0.43      ![X0: $i] : (ndr1_1(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!1) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!3), $i!val!3, $i!val!2))) = $i!val!3)))).
% 0.19/0.43  % SZS output end Model
%------------------------------------------------------------------------------