TSTP Solution File: LCL665+1.001 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : LCL665+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n010.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 04:57:37 EDT 2022

% Result   : CounterSatisfiable 0.62s 0.71s
% Output   : Model 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LCL665+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n010.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 : Thu Sep  1 23:28:13 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.
% 0.62/0.71  % SZS status CounterSatisfiable
% 0.62/0.71  % SZS output start Model
% 0.62/0.71  tff(p23_type, type, (
% 0.62/0.71     p23: $i > $o)).
% 0.62/0.71  tff(p21_type, type, (
% 0.62/0.71     p21: $i > $o)).
% 0.62/0.71  tff(tptp_fun__i_val_1_type, type, (
% 0.62/0.71     tptp_fun__i_val_1: $i)).
% 0.62/0.71  tff(k!350_type, type, (
% 0.62/0.71     k!350: $i > $i)).
% 0.62/0.71  tff(tptp_fun__i_val_2_type, type, (
% 0.62/0.71     tptp_fun__i_val_2: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_3_type, type, (
% 0.62/0.71     tptp_fun__i_val_3: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_4_type, type, (
% 0.62/0.71     tptp_fun__i_val_4: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_0_type, type, (
% 0.62/0.71     tptp_fun__i_val_0: $i)).
% 0.62/0.71  tff(p14_type, type, (
% 0.62/0.71     p14: $i > $o)).
% 0.62/0.71  tff(tptp_fun__i_val_8_type, type, (
% 0.62/0.71     tptp_fun__i_val_8: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_9_type, type, (
% 0.62/0.71     tptp_fun__i_val_9: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_12_type, type, (
% 0.62/0.71     tptp_fun__i_val_12: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_7_type, type, (
% 0.62/0.71     tptp_fun__i_val_7: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_13_type, type, (
% 0.62/0.71     tptp_fun__i_val_13: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_11_type, type, (
% 0.62/0.71     tptp_fun__i_val_11: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_6_type, type, (
% 0.62/0.71     tptp_fun__i_val_6: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_10_type, type, (
% 0.62/0.71     tptp_fun__i_val_10: $i)).
% 0.62/0.71  tff(p24_type, type, (
% 0.62/0.71     p24: $i > $o)).
% 0.62/0.71  tff(p25_type, type, (
% 0.62/0.71     p25: $i > $o)).
% 0.62/0.71  tff(p16_type, type, (
% 0.62/0.71     p16: $i > $o)).
% 0.62/0.71  tff(p26_type, type, (
% 0.62/0.71     p26: $i > $o)).
% 0.62/0.71  tff(p22_type, type, (
% 0.62/0.71     p22: $i > $o)).
% 0.62/0.71  tff(p13_type, type, (
% 0.62/0.71     p13: $i > $o)).
% 0.62/0.71  tff(tptp_fun__i_val_15_type, type, (
% 0.62/0.71     tptp_fun__i_val_15: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_14_type, type, (
% 0.62/0.71     tptp_fun__i_val_14: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_16_type, type, (
% 0.62/0.71     tptp_fun__i_val_16: $i)).
% 0.62/0.71  tff(tptp_fun__i_val_5_type, type, (
% 0.62/0.71     tptp_fun__i_val_5: $i)).
% 0.62/0.71  tff(r1_type, type, (
% 0.62/0.71     r1: ( $i * $i ) > $o)).
% 0.62/0.71  tff(p12_type, type, (
% 0.62/0.71     p12: $i > $o)).
% 0.62/0.71  tff(p11_type, type, (
% 0.62/0.71     p11: $i > $o)).
% 0.62/0.71  tff(p15_type, type, (
% 0.62/0.71     p15: $i > $o)).
% 0.62/0.71  tff(formula1, axiom,
% 0.62/0.71      ![X0: $i] : (p23(X0) <=> $false)).
% 0.62/0.71  tff(formula2, axiom,
% 0.62/0.71      ![X0: $i] : (p21(X0) <=> $false)).
% 0.62/0.71  tff(formula3, axiom,
% 0.62/0.71      ![X0: $i] : (p14(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula4, axiom,
% 0.62/0.71      ![X0: $i] : (p24(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!10) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!6) | (k!350(X0) = $i!val!11) | (k!350(X0) = $i!val!13) | (k!350(X0) = $i!val!7) | (k!350(X0) = $i!val!12) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!9) | (k!350(X0) = $i!val!8) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula5, axiom,
% 0.62/0.71      ![X0: $i] : (p25(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!10) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!6) | (k!350(X0) = $i!val!11) | (k!350(X0) = $i!val!13) | (k!350(X0) = $i!val!7) | (k!350(X0) = $i!val!12) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!9) | (k!350(X0) = $i!val!8) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula6, axiom,
% 0.62/0.71      ![X0: $i] : (p16(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula7, axiom,
% 0.62/0.71      ![X0: $i] : (p26(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!10) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!6) | (k!350(X0) = $i!val!11) | (k!350(X0) = $i!val!13) | (k!350(X0) = $i!val!7) | (k!350(X0) = $i!val!12) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!9) | (k!350(X0) = $i!val!8) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula8, axiom,
% 0.62/0.71      ![X0: $i] : (p22(X0) <=> ((k!350(X0) = $i!val!0) | (k!350(X0) = $i!val!10) | (k!350(X0) = $i!val!4) | (k!350(X0) = $i!val!6) | (k!350(X0) = $i!val!11) | (k!350(X0) = $i!val!13) | (k!350(X0) = $i!val!7) | (k!350(X0) = $i!val!12) | (k!350(X0) = $i!val!3) | (k!350(X0) = $i!val!2) | (k!350(X0) = $i!val!9) | (k!350(X0) = $i!val!8) | (k!350(X0) = $i!val!1)))).
% 0.62/0.71  tff(formula9, axiom,
% 0.62/0.71      ![X0: $i] : (p13(X0) <=> (k!350(X0) = $i!val!0))).
% 0.62/0.71  tff(formula10, axiom,
% 0.62/0.71      ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!350(X1) = $i!val!1) & (k!350(X0) = $i!val!6)) | ((k!350(X1) = $i!val!7) & (k!350(X0) = $i!val!7)) | ((k!350(X1) = $i!val!9) & (k!350(X0) = $i!val!9)) | ((k!350(X1) = $i!val!12) & (k!350(X0) = $i!val!12)) | ((k!350(X1) = $i!val!5) & (k!350(X0) = $i!val!5)) | ((k!350(X1) = $i!val!4) & (k!350(X0) = $i!val!12)) | ((k!350(X1) = $i!val!2) & (k!350(X0) = $i!val!2)) | ((k!350(X1) = $i!val!3) & (k!350(X0) = $i!val!3)) | ((k!350(X1) = $i!val!16) & (k!350(X0) = $i!val!16)) | ((k!350(X1) = $i!val!3) & (k!350(X0) = $i!val!11)) | ((k!350(X1) = $i!val!0) & (k!350(X0) = $i!val!0)) | ((k!350(X1) = $i!val!11) & (k!350(X0) = $i!val!11)) | ((k!350(X1) = $i!val!6) & (k!350(X0) = $i!val!6)) | ((k!350(X1) = $i!val!0) & (k!350(X0) = $i!val!1)) | ((k!350(X1) = $i!val!8) & (k!350(X0) = $i!val!8)) | ((k!350(X1) = $i!val!1) & (k!350(X0) = $i!val!7)) | ((k!350(X1) = $i!val!0) & (k!350(X0) = $i!val!3)) | ((k!350(X1) = $i!val!0) & (k!350(X0) = $i!val!2)) | ((k!350(X1) = $i!val!1) & (k!350(X0) = $i!val!1)) | ((k!350(X1) = $i!val!13) & (k!350(X0) = $i!val!13)) | ((k!350(X1) = $i!val!4) & (k!350(X0) = $i!val!4)) | ((k!350(X1) = $i!val!14) & (k!350(X0) = $i!val!14)) | ((k!350(X1) = $i!val!3) & (k!350(X0) = $i!val!10)) | ((k!350(X1) = $i!val!2) & (k!350(X0) = $i!val!9)) | ((k!350(X1) = $i!val!2) & (k!350(X0) = $i!val!8)) | ((k!350(X1) = $i!val!10) & (k!350(X0) = $i!val!10)) | ((k!350(X1) = $i!val!15) & (k!350(X0) = $i!val!15)) | ((k!350(X1) = $i!val!4) & (k!350(X0) = $i!val!13)) | ((k!350(X1) = $i!val!0) & (k!350(X0) = $i!val!4))))).
% 0.62/0.72  tff(formula11, axiom,
% 0.62/0.72      ![X0: $i] : (p12(X0) <=> $false)).
% 0.62/0.72  tff(formula12, axiom,
% 0.62/0.72      k!350($i!val!2) = $i!val!2).
% 0.62/0.72  tff(formula13, axiom,
% 0.62/0.72      k!350($i!val!16) = $i!val!16).
% 0.62/0.72  tff(formula14, axiom,
% 0.62/0.72      k!350($i!val!9) = $i!val!9).
% 0.62/0.72  tff(formula15, axiom,
% 0.62/0.72      k!350($i!val!5) = $i!val!5).
% 0.62/0.72  tff(formula16, axiom,
% 0.62/0.72      k!350($i!val!15) = $i!val!15).
% 0.62/0.72  tff(formula17, axiom,
% 0.62/0.72      k!350($i!val!4) = $i!val!4).
% 0.62/0.72  tff(formula18, axiom,
% 0.62/0.72      k!350($i!val!7) = $i!val!7).
% 0.62/0.72  tff(formula19, axiom,
% 0.62/0.72      k!350($i!val!8) = $i!val!8).
% 0.62/0.72  tff(formula20, axiom,
% 0.62/0.72      k!350($i!val!6) = $i!val!6).
% 0.62/0.72  tff(formula21, axiom,
% 0.62/0.72      k!350($i!val!14) = $i!val!14).
% 0.62/0.72  tff(formula22, axiom,
% 0.62/0.72      k!350($i!val!11) = $i!val!11).
% 0.62/0.72  tff(formula23, axiom,
% 0.62/0.72      k!350($i!val!13) = $i!val!13).
% 0.62/0.72  tff(formula24, axiom,
% 0.62/0.72      k!350($i!val!0) = $i!val!0).
% 0.62/0.72  tff(formula25, axiom,
% 0.62/0.72      k!350($i!val!12) = $i!val!12).
% 0.62/0.72  tff(formula26, axiom,
% 0.62/0.72      k!350($i!val!10) = $i!val!10).
% 0.62/0.72  tff(formula27, axiom,
% 0.62/0.72      k!350($i!val!3) = $i!val!3).
% 0.62/0.72  tff(formula28, axiom,
% 0.62/0.72      ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!16 = X0)) | (($i!val!9 = X0)) | (($i!val!5 = X0)) | (($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!6 = X0)) | (($i!val!14 = X0)) | (($i!val!11 = X0)) | (($i!val!13 = X0)) | (($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!10 = X0)) | (($i!val!3 = X0)))) => (k!350(X0) = $i!val!1))).
% 0.62/0.72  tff(formula29, axiom,
% 0.62/0.72      ![X0: $i] : (p11(X0) <=> (k!350(X0) = $i!val!0))).
% 0.62/0.72  tff(formula30, axiom,
% 0.62/0.72      ![X0: $i] : (p15(X0) <=> (k!350(X0) = $i!val!0))).
% 0.62/0.72  % SZS output end Model
%------------------------------------------------------------------------------