TSTP Solution File: NLP008-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP008-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n019.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 08:46:45 EDT 2022

% Result   : Satisfiable 0.21s 0.42s
% Output   : Model 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NLP008-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Sep  2 03:33:35 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 0.21/0.42  % SZS status Satisfiable
% 0.21/0.42  % SZS output start Model
% 0.21/0.42  tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.42     tptp_fun__i_val_4: $i)).
% 0.21/0.42  tff(skc25_type, type, (
% 0.21/0.42     skc25: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_11_type, type, (
% 0.21/0.42     tptp_fun__i_val_11: $i)).
% 0.21/0.42  tff(skc18_type, type, (
% 0.21/0.42     skc18: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_12_type, type, (
% 0.21/0.42     tptp_fun__i_val_12: $i)).
% 0.21/0.42  tff(skc17_type, type, (
% 0.21/0.42     skc17: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.42     tptp_fun__i_val_2: $i)).
% 0.21/0.42  tff(skc27_type, type, (
% 0.21/0.42     skc27: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.42     tptp_fun__i_val_8: $i)).
% 0.21/0.42  tff(skc21_type, type, (
% 0.21/0.42     skc21: $i)).
% 0.21/0.42  tff(ssSkC0_type, type, (
% 0.21/0.42     ssSkC0: $o)).
% 0.21/0.42  tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.42     tptp_fun__i_val_3: $i)).
% 0.21/0.42  tff(skc26_type, type, (
% 0.21/0.42     skc26: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.42     tptp_fun__i_val_10: $i)).
% 0.21/0.42  tff(skc19_type, type, (
% 0.21/0.42     skc19: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_13_type, type, (
% 0.21/0.42     tptp_fun__i_val_13: $i)).
% 0.21/0.42  tff(skc16_type, type, (
% 0.21/0.42     skc16: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.42     tptp_fun__i_val_9: $i)).
% 0.21/0.42  tff(skc20_type, type, (
% 0.21/0.42     skc20: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.42     tptp_fun__i_val_1: $i)).
% 0.21/0.42  tff(skc28_type, type, (
% 0.21/0.42     skc28: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.42     tptp_fun__i_val_7: $i)).
% 0.21/0.42  tff(skc22_type, type, (
% 0.21/0.42     skc22: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.42     tptp_fun__i_val_5: $i)).
% 0.21/0.42  tff(skc24_type, type, (
% 0.21/0.42     skc24: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_14_type, type, (
% 0.21/0.42     tptp_fun__i_val_14: $i)).
% 0.21/0.42  tff(skc15_type, type, (
% 0.21/0.42     skc15: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.42     tptp_fun__i_val_0: $i)).
% 0.21/0.42  tff(skc29_type, type, (
% 0.21/0.42     skc29: $i)).
% 0.21/0.42  tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.42     tptp_fun__i_val_6: $i)).
% 0.21/0.42  tff(skc23_type, type, (
% 0.21/0.42     skc23: $i)).
% 0.21/0.42  tff(lonely_type, type, (
% 0.21/0.42     lonely: $i > $o)).
% 0.21/0.42  tff(in_type, type, (
% 0.21/0.42     in: ( $i * $i ) > $o)).
% 0.21/0.42  tff(front_type, type, (
% 0.21/0.42     front: $i > $o)).
% 0.21/0.42  tff(old_type, type, (
% 0.21/0.42     old: $i > $o)).
% 0.21/0.42  tff(white_type, type, (
% 0.21/0.42     white: $i > $o)).
% 0.21/0.42  tff(man_type, type, (
% 0.21/0.42     man: $i > $o)).
% 0.21/0.42  tff(dirty_type, type, (
% 0.21/0.42     dirty: $i > $o)).
% 0.21/0.42  tff(down_type, type, (
% 0.21/0.42     down: ( $i * $i ) > $o)).
% 0.21/0.42  tff(seat_type, type, (
% 0.21/0.42     seat: $i > $o)).
% 0.21/0.42  tff(fellow_type, type, (
% 0.21/0.42     fellow: $i > $o)).
% 0.21/0.42  tff(hollywood_type, type, (
% 0.21/0.42     hollywood: $i > $o)).
% 0.21/0.42  tff(furniture_type, type, (
% 0.21/0.42     furniture: $i > $o)).
% 0.21/0.42  tff(way_type, type, (
% 0.21/0.42     way: $i > $o)).
% 0.21/0.42  tff(city_type, type, (
% 0.21/0.42     city: $i > $o)).
% 0.21/0.42  tff(event_type, type, (
% 0.21/0.42     event: $i > $o)).
% 0.21/0.42  tff(barrel_type, type, (
% 0.21/0.42     barrel: ( $i * $i ) > $o)).
% 0.21/0.42  tff(young_type, type, (
% 0.21/0.42     young: $i > $o)).
% 0.21/0.42  tff(chevy_type, type, (
% 0.21/0.42     chevy: $i > $o)).
% 0.21/0.42  tff(car_type, type, (
% 0.21/0.42     car: $i > $o)).
% 0.21/0.42  tff(street_type, type, (
% 0.21/0.42     street: $i > $o)).
% 0.21/0.42  tff(formula1, axiom,
% 0.21/0.42      skc25 = $i!val!4).
% 0.21/0.42  tff(formula2, axiom,
% 0.21/0.42      skc18 = $i!val!11).
% 0.21/0.42  tff(formula3, axiom,
% 0.21/0.42      skc17 = $i!val!12).
% 0.21/0.42  tff(formula4, axiom,
% 0.21/0.42      skc27 = $i!val!2).
% 0.21/0.42  tff(formula5, axiom,
% 0.21/0.42      skc21 = $i!val!8).
% 0.21/0.42  tff(formula6, axiom,
% 0.21/0.42      ssSkC0 <=> $true).
% 0.21/0.42  tff(formula7, axiom,
% 0.21/0.42      skc26 = $i!val!3).
% 0.21/0.42  tff(formula8, axiom,
% 0.21/0.42      skc19 = $i!val!10).
% 0.21/0.42  tff(formula9, axiom,
% 0.21/0.42      skc16 = $i!val!13).
% 0.21/0.42  tff(formula10, axiom,
% 0.21/0.42      skc20 = $i!val!9).
% 0.21/0.42  tff(formula11, axiom,
% 0.21/0.42      skc28 = $i!val!1).
% 0.21/0.42  tff(formula12, axiom,
% 0.21/0.42      skc22 = $i!val!7).
% 0.21/0.42  tff(formula13, axiom,
% 0.21/0.42      skc24 = $i!val!5).
% 0.21/0.42  tff(formula14, axiom,
% 0.21/0.42      skc15 = $i!val!14).
% 0.21/0.42  tff(formula15, axiom,
% 0.21/0.42      skc29 = $i!val!0).
% 0.21/0.42  tff(formula16, axiom,
% 0.21/0.42      skc23 = $i!val!6).
% 0.21/0.42  tff(formula17, axiom,
% 0.21/0.42      ![X0: $i] : (lonely(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, $i!val!10) = $i!val!10) | (ite_t((X0 = $i!val!2), $i!val!2, $i!val!10) = $i!val!2)))).
% 0.21/0.42  tff(formula18, axiom,
% 0.21/0.42      ![X0: $i, X1: $i] : (in(X0, X1) <=> (((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!8) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!7)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!14) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!11)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!13) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!12))))).
% 0.21/0.42  tff(formula19, axiom,
% 0.21/0.42      ![X0: $i] : (front(X0) <=> ((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!11) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!12)))).
% 0.21/0.42  tff(formula20, axiom,
% 0.21/0.42      ![X0: $i] : (old(X0) <=> (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9))).
% 0.21/0.42  tff(formula21, axiom,
% 0.21/0.42      ![X0: $i] : (white(X0) <=> (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9))).
% 0.21/0.42  tff(formula22, axiom,
% 0.21/0.42      ![X0: $i] : (man(X0) <=> ((ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!13) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!14)))).
% 0.21/0.42  tff(formula23, axiom,
% 0.21/0.42      ![X0: $i] : (dirty(X0) <=> (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9))).
% 0.21/0.42  tff(formula24, axiom,
% 0.21/0.42      ![X0: $i, X1: $i] : (down(X0, X1) <=> ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!8) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!10) = $i!val!10)))).
% 0.21/0.42  tff(formula25, axiom,
% 0.21/0.42      ![X0: $i] : (seat(X0) <=> ((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!4) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!11) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!12)))).
% 0.21/0.42  tff(formula26, axiom,
% 0.21/0.42      ![X0: $i] : (fellow(X0) <=> ((ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!14) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!13) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!6)))).
% 0.21/0.42  tff(formula27, axiom,
% 0.21/0.42      ![X0: $i] : (hollywood(X0) <=> (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!7))).
% 0.21/0.42  tff(formula28, axiom,
% 0.21/0.42      ![X0: $i] : (furniture(X0) <=> ((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!11) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!12)))).
% 0.21/0.42  tff(formula29, axiom,
% 0.21/0.42      ![X0: $i] : (way(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!10) = $i!val!10))).
% 0.21/0.42  tff(formula30, axiom,
% 0.21/0.42      ![X0: $i] : (city(X0) <=> ((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!0) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!11), $i!val!11, $i!val!4)))) = $i!val!7)))).
% 0.21/0.43  tff(formula31, axiom,
% 0.21/0.43      ![X0: $i] : (event(X0) <=> ((ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!1) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!8)))).
% 0.21/0.43  tff(formula32, axiom,
% 0.21/0.43      ![X0: $i, X1: $i] : (barrel(X0, X1) <=> ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!8) & (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9)))).
% 0.21/0.43  tff(formula33, axiom,
% 0.21/0.43      ![X0: $i] : (young(X0) <=> ((ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!14) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!13) | (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!5), $i!val!5, $i!val!8))))) = $i!val!5)))).
% 0.21/0.43  tff(formula34, axiom,
% 0.21/0.43      ![X0: $i] : (chevy(X0) <=> ((ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!3) | (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9)))).
% 0.21/0.43  tff(formula35, axiom,
% 0.21/0.43      ![X0: $i] : (car(X0) <=> (ite_t((X0 = $i!val!9), $i!val!9, $i!val!3) = $i!val!9))).
% 0.21/0.43  tff(formula36, axiom,
% 0.21/0.43      ![X0: $i] : (street(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!10) = $i!val!10))).
% 0.21/0.43  % SZS output end Model
%------------------------------------------------------------------------------