TSTP Solution File: SYN521+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN521+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n002.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   : CounterSatisfiable 0.19s 0.40s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN521+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n002.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 05:16:33 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.
% 0.19/0.40  % SZS status CounterSatisfiable
% 0.19/0.40  % SZS output start Model
% 0.19/0.40  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.40     tptp_fun__i_val_9: $i)).
% 0.19/0.40  tff(a100_type, type, (
% 0.19/0.40     a100: $i)).
% 0.19/0.40  tff(c1_0_type, type, (
% 0.19/0.40     c1_0: $o)).
% 0.19/0.40  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.40     tptp_fun__i_val_4: $i)).
% 0.19/0.40  tff(a86_type, type, (
% 0.19/0.40     a86: $i)).
% 0.19/0.40  tff(ndr1_0_type, type, (
% 0.19/0.40     ndr1_0: $o)).
% 0.19/0.40  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.40     tptp_fun__i_val_5: $i)).
% 0.19/0.40  tff(a87_type, type, (
% 0.19/0.40     a87: $i)).
% 0.19/0.40  tff(c2_0_type, type, (
% 0.19/0.40     c2_0: $o)).
% 0.19/0.40  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.40     tptp_fun__i_val_3: $i)).
% 0.19/0.40  tff(a85_type, type, (
% 0.19/0.40     a85: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.40     tptp_fun__i_val_10: $i)).
% 0.19/0.40  tff(a97_type, type, (
% 0.19/0.40     a97: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.40     tptp_fun__i_val_1: $i)).
% 0.19/0.40  tff(a83_type, type, (
% 0.19/0.40     a83: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.40     tptp_fun__i_val_8: $i)).
% 0.19/0.40  tff(a96_type, type, (
% 0.19/0.40     a96: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.40     tptp_fun__i_val_6: $i)).
% 0.19/0.40  tff(a90_type, type, (
% 0.19/0.40     a90: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.40     tptp_fun__i_val_0: $i)).
% 0.19/0.40  tff(a82_type, type, (
% 0.19/0.40     a82: $i)).
% 0.19/0.40  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.40     tptp_fun__i_val_7: $i)).
% 0.19/0.40  tff(a95_type, type, (
% 0.19/0.40     a95: $i)).
% 0.19/0.40  tff(c5_0_type, type, (
% 0.19/0.40     c5_0: $o)).
% 0.19/0.40  tff(c4_0_type, type, (
% 0.19/0.40     c4_0: $o)).
% 0.19/0.40  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.40     tptp_fun__i_val_2: $i)).
% 0.19/0.40  tff(a84_type, type, (
% 0.19/0.40     a84: $i)).
% 0.19/0.40  tff(c3_0_type, type, (
% 0.19/0.40     c3_0: $o)).
% 0.19/0.40  tff(c5_2_type, type, (
% 0.19/0.40     c5_2: ( $i * $i ) > $o)).
% 0.19/0.40  tff(c4_1_type, type, (
% 0.19/0.40     c4_1: $i > $o)).
% 0.19/0.40  tff(c5_1_type, type, (
% 0.19/0.40     c5_1: $i > $o)).
% 0.19/0.40  tff(c1_1_type, type, (
% 0.19/0.40     c1_1: $i > $o)).
% 0.19/0.40  tff(c3_1_type, type, (
% 0.19/0.40     c3_1: $i > $o)).
% 0.19/0.40  tff(c2_1_type, type, (
% 0.19/0.40     c2_1: $i > $o)).
% 0.19/0.40  tff(c3_2_type, type, (
% 0.19/0.40     c3_2: ( $i * $i ) > $o)).
% 0.19/0.40  tff(c2_2_type, type, (
% 0.19/0.40     c2_2: ( $i * $i ) > $o)).
% 0.19/0.40  tff(c4_2_type, type, (
% 0.19/0.40     c4_2: ( $i * $i ) > $o)).
% 0.19/0.40  tff(c1_2_type, type, (
% 0.19/0.40     c1_2: ( $i * $i ) > $o)).
% 0.19/0.40  tff(ndr1_1_type, type, (
% 0.19/0.40     ndr1_1: $i > $o)).
% 0.19/0.40  tff(formula1, axiom,
% 0.19/0.40      a100 = $i!val!9).
% 0.19/0.40  tff(formula2, axiom,
% 0.19/0.40      c1_0 <=> $false).
% 0.19/0.40  tff(formula3, axiom,
% 0.19/0.40      a86 = $i!val!4).
% 0.19/0.40  tff(formula4, axiom,
% 0.19/0.40      ndr1_0 <=> $true).
% 0.19/0.40  tff(formula5, axiom,
% 0.19/0.40      a87 = $i!val!5).
% 0.19/0.40  tff(formula6, axiom,
% 0.19/0.40      c2_0 <=> $false).
% 0.19/0.40  tff(formula7, axiom,
% 0.19/0.40      a85 = $i!val!3).
% 0.19/0.40  tff(formula8, axiom,
% 0.19/0.40      a97 = $i!val!10).
% 0.19/0.40  tff(formula9, axiom,
% 0.19/0.40      a83 = $i!val!1).
% 0.19/0.40  tff(formula10, axiom,
% 0.19/0.40      a96 = $i!val!8).
% 0.19/0.40  tff(formula11, axiom,
% 0.19/0.40      a90 = $i!val!6).
% 0.19/0.40  tff(formula12, axiom,
% 0.19/0.40      a82 = $i!val!0).
% 0.19/0.40  tff(formula13, axiom,
% 0.19/0.40      a95 = $i!val!7).
% 0.19/0.40  tff(formula14, axiom,
% 0.19/0.40      c5_0 <=> $true).
% 0.19/0.40  tff(formula15, axiom,
% 0.19/0.40      c4_0 <=> $false).
% 0.19/0.40  tff(formula16, axiom,
% 0.19/0.40      a84 = $i!val!2).
% 0.19/0.40  tff(formula17, axiom,
% 0.19/0.40      c3_0 <=> $true).
% 0.19/0.40  tff(formula18, axiom,
% 0.19/0.40      ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((X1 = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!1), $i!val!1, $i!val!8)))) = $i!val!5)) | ((X1 = $i!val!7) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!1), $i!val!1, $i!val!8)))) = $i!val!8))))).
% 0.19/0.40  tff(formula19, axiom,
% 0.19/0.40      ![X0: $i] : (c4_1(X0) <=> (X0 = $i!val!9))).
% 0.19/0.40  tff(formula20, axiom,
% 0.19/0.40      ![X0: $i] : (c5_1(X0) <=> $true)).
% 0.19/0.40  tff(formula21, axiom,
% 0.19/0.40      ![X0: $i] : (c1_1(X0) <=> $true)).
% 0.19/0.40  tff(formula22, axiom,
% 0.19/0.40      ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.19/0.40  tff(formula23, axiom,
% 0.19/0.40      ![X0: $i] : (c2_1(X0) <=> (X0 = $i!val!9))).
% 0.19/0.40  tff(formula24, axiom,
% 0.19/0.40      ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.19/0.40  tff(formula25, axiom,
% 0.19/0.40      ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.19/0.40  tff(formula26, axiom,
% 0.19/0.40      ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((X1 = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!1), $i!val!1, $i!val!8)))) = $i!val!1)) | ((X1 = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!1), $i!val!1, $i!val!8)))) = $i!val!5))))).
% 0.19/0.40  tff(formula27, axiom,
% 0.19/0.40      ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((X1 = $i!val!7) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!1), $i!val!1, $i!val!8)))) = $i!val!8)))).
% 0.19/0.40  tff(formula28, axiom,
% 0.19/0.40      ndr1_1($i!val!10) <=> $false).
% 0.19/0.40  tff(formula29, axiom,
% 0.19/0.40      ![X0: $i] : ((~(($i!val!10 = X0))) => (ndr1_1(X0) <=> $true))).
% 0.19/0.40  % SZS output end Model
%------------------------------------------------------------------------------