TSTP Solution File: LCL641+1.005 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : LCL641+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 : Sun Sep 18 04:56:55 EDT 2022

% Result   : CounterSatisfiable 110.05s 70.76s
% Output   : Model 110.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : LCL641+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.11  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu Sep  1 23:11:34 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.32  Usage: tptp [options] [-file:]file
% 0.15/0.32    -h, -?       prints this message.
% 0.15/0.32    -smt2        print SMT-LIB2 benchmark.
% 0.15/0.32    -m, -model   generate model.
% 0.15/0.32    -p, -proof   generate proof.
% 0.15/0.32    -c, -core    generate unsat core of named formulas.
% 0.15/0.32    -st, -statistics display statistics.
% 0.15/0.32    -t:timeout   set timeout (in second).
% 0.15/0.32    -smt2status  display status in smt2 format instead of SZS.
% 0.15/0.32    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.32    -<param>:<value> configuration parameter and value.
% 0.15/0.32    -o:<output-file> file to place output in.
% 110.05/70.76  % SZS status CounterSatisfiable
% 110.05/70.76  % SZS output start Model
% 110.05/70.76  tff(tptp_fun__i_val_8_type, type, (
% 110.05/70.76     tptp_fun__i_val_8: $i)).
% 110.05/70.76  tff(k!2928_type, type, (
% 110.05/70.76     k!2928: $i > $i)).
% 110.05/70.76  tff(tptp_fun__i_val_14_type, type, (
% 110.05/70.76     tptp_fun__i_val_14: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_7_type, type, (
% 110.05/70.76     tptp_fun__i_val_7: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_4_type, type, (
% 110.05/70.76     tptp_fun__i_val_4: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_10_type, type, (
% 110.05/70.76     tptp_fun__i_val_10: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_5_type, type, (
% 110.05/70.76     tptp_fun__i_val_5: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_6_type, type, (
% 110.05/70.76     tptp_fun__i_val_6: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_12_type, type, (
% 110.05/70.76     tptp_fun__i_val_12: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_9_type, type, (
% 110.05/70.76     tptp_fun__i_val_9: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_15_type, type, (
% 110.05/70.76     tptp_fun__i_val_15: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_0_type, type, (
% 110.05/70.76     tptp_fun__i_val_0: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_2_type, type, (
% 110.05/70.76     tptp_fun__i_val_2: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_3_type, type, (
% 110.05/70.76     tptp_fun__i_val_3: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_11_type, type, (
% 110.05/70.76     tptp_fun__i_val_11: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_1_type, type, (
% 110.05/70.76     tptp_fun__i_val_1: $i)).
% 110.05/70.76  tff(tptp_fun__i_val_13_type, type, (
% 110.05/70.76     tptp_fun__i_val_13: $i)).
% 110.05/70.76  tff(r1_type, type, (
% 110.05/70.76     r1: ( $i * $i ) > $o)).
% 110.05/70.76  tff(p1_type, type, (
% 110.05/70.76     p1: $i > $o)).
% 110.05/70.76  tff(formula1, axiom,
% 110.05/70.76      k!2928($i!val!8) = $i!val!8).
% 110.05/70.76  tff(formula2, axiom,
% 110.05/70.76      k!2928($i!val!14) = $i!val!14).
% 110.05/70.76  tff(formula3, axiom,
% 110.05/70.76      k!2928($i!val!7) = $i!val!7).
% 110.05/70.76  tff(formula4, axiom,
% 110.05/70.76      k!2928($i!val!4) = $i!val!4).
% 110.05/70.76  tff(formula5, axiom,
% 110.05/70.76      k!2928($i!val!10) = $i!val!10).
% 110.05/70.76  tff(formula6, axiom,
% 110.05/70.76      k!2928($i!val!5) = $i!val!5).
% 110.05/70.76  tff(formula7, axiom,
% 110.05/70.76      k!2928($i!val!6) = $i!val!6).
% 110.05/70.76  tff(formula8, axiom,
% 110.05/70.76      k!2928($i!val!12) = $i!val!12).
% 110.05/70.76  tff(formula9, axiom,
% 110.05/70.76      k!2928($i!val!9) = $i!val!9).
% 110.05/70.76  tff(formula10, axiom,
% 110.05/70.76      k!2928($i!val!15) = $i!val!15).
% 110.05/70.76  tff(formula11, axiom,
% 110.05/70.76      k!2928($i!val!0) = $i!val!0).
% 110.05/70.76  tff(formula12, axiom,
% 110.05/70.76      k!2928($i!val!2) = $i!val!2).
% 110.05/70.76  tff(formula13, axiom,
% 110.05/70.76      k!2928($i!val!3) = $i!val!3).
% 110.05/70.76  tff(formula14, axiom,
% 110.05/70.76      k!2928($i!val!11) = $i!val!11).
% 110.05/70.76  tff(formula15, axiom,
% 110.05/70.76      k!2928($i!val!1) = $i!val!1).
% 110.05/70.76  tff(formula16, axiom,
% 110.05/70.76      ![X0: $i] : ((~((($i!val!8 = X0)) | (($i!val!14 = X0)) | (($i!val!7 = X0)) | (($i!val!4 = X0)) | (($i!val!10 = X0)) | (($i!val!5 = X0)) | (($i!val!6 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!15 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!1 = X0)))) => (k!2928(X0) = $i!val!13))).
% 110.05/70.76  tff(formula17, axiom,
% 110.05/70.76      ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!2928(X1) = $i!val!1) & (k!2928(X0) = $i!val!2)) | ((k!2928(X1) = $i!val!2) & (k!2928(X0) = $i!val!8)) | ((k!2928(X1) = $i!val!3) & (k!2928(X0) = $i!val!13)) | ((k!2928(X1) = $i!val!5) & (k!2928(X0) = $i!val!10)) | ((k!2928(X1) = $i!val!5) & (k!2928(X0) = $i!val!6)) | ((k!2928(X1) = $i!val!2) & (k!2928(X0) = $i!val!3)) | ((k!2928(X1) = $i!val!3) & (k!2928(X0) = $i!val!4)) | ((k!2928(X1) = $i!val!4) & (k!2928(X0) = $i!val!5)) | ((k!2928(X1) = $i!val!0) & (k!2928(X0) = $i!val!1)) | ((k!2928(X1) = $i!val!6) & (k!2928(X0) = $i!val!7)) | ((k!2928(X1) = $i!val!8) & (k!2928(X0) = $i!val!14))))).
% 110.05/70.76  tff(formula18, axiom,
% 110.05/70.76      ![X0: $i] : (p1(X0) <=> ((k!2928(X0) = $i!val!2) | (k!2928(X0) = $i!val!7) | (k!2928(X0) = $i!val!5) | (k!2928(X0) = $i!val!1)))).
% 110.05/70.76  % SZS output end Model
%------------------------------------------------------------------------------