TSTP Solution File: NLP005+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP005+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n001.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 08:46:43 EDT 2022

% Result   : CounterSatisfiable 0.48s 0.55s
% Output   : Model 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP005+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n001.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 : Fri Sep  2 03:49:37 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.
% 0.48/0.55  % SZS status CounterSatisfiable
% 0.48/0.55  % SZS output start Model
% 0.48/0.55  tff(tptp_fun__i_val_7_type, type, (
% 0.48/0.55     tptp_fun__i_val_7: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_0_type, type, (
% 0.48/0.55     tptp_fun__i_val_0: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_6_type, type, (
% 0.48/0.55     tptp_fun__i_val_6: $i)).
% 0.48/0.55  tff(lonely_type, type, (
% 0.48/0.55     lonely: $i > $o)).
% 0.48/0.55  tff(tptp_fun__i_val_4_type, type, (
% 0.48/0.55     tptp_fun__i_val_4: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_5_type, type, (
% 0.48/0.55     tptp_fun__i_val_5: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_2_type, type, (
% 0.48/0.55     tptp_fun__i_val_2: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_3_type, type, (
% 0.48/0.55     tptp_fun__i_val_3: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_8_type, type, (
% 0.48/0.55     tptp_fun__i_val_8: $i)).
% 0.48/0.55  tff(tptp_fun__i_val_10_type, type, (
% 0.48/0.55     tptp_fun__i_val_10: $i)).
% 0.48/0.55  tff(k!547_type, type, (
% 0.48/0.55     k!547: $i > $i)).
% 0.48/0.55  tff(tptp_fun__i_val_9_type, type, (
% 0.48/0.55     tptp_fun__i_val_9: $i)).
% 0.48/0.55  tff(in_type, type, (
% 0.48/0.55     in: ( $i * $i ) > $o)).
% 0.48/0.55  tff(man_type, type, (
% 0.48/0.55     man: $i > $o)).
% 0.48/0.55  tff(front_type, type, (
% 0.48/0.55     front: $i > $o)).
% 0.48/0.55  tff(white_type, type, (
% 0.48/0.55     white: $i > $o)).
% 0.48/0.55  tff(old_type, type, (
% 0.48/0.55     old: $i > $o)).
% 0.48/0.55  tff(dirty_type, type, (
% 0.48/0.55     dirty: $i > $o)).
% 0.48/0.55  tff(down_type, type, (
% 0.48/0.55     down: ( $i * $i ) > $o)).
% 0.48/0.55  tff(tptp_fun__i_val_1_type, type, (
% 0.48/0.55     tptp_fun__i_val_1: $i)).
% 0.48/0.55  tff(fellow_type, type, (
% 0.48/0.55     fellow: $i > $o)).
% 0.48/0.55  tff(seat_type, type, (
% 0.48/0.55     seat: $i > $o)).
% 0.48/0.55  tff(hollywood_type, type, (
% 0.48/0.55     hollywood: $i > $o)).
% 0.48/0.55  tff(furniture_type, type, (
% 0.48/0.55     furniture: $i > $o)).
% 0.48/0.55  tff(way_type, type, (
% 0.48/0.55     way: $i > $o)).
% 0.48/0.55  tff(event_type, type, (
% 0.48/0.55     event: $i > $o)).
% 0.48/0.55  tff(city_type, type, (
% 0.48/0.55     city: $i > $o)).
% 0.48/0.55  tff(barrel_type, type, (
% 0.48/0.55     barrel: ( $i * $i ) > $o)).
% 0.48/0.55  tff(young_type, type, (
% 0.48/0.55     young: $i > $o)).
% 0.48/0.55  tff(chevy_type, type, (
% 0.48/0.55     chevy: $i > $o)).
% 0.48/0.55  tff(street_type, type, (
% 0.48/0.55     street: $i > $o)).
% 0.48/0.55  tff(car_type, type, (
% 0.48/0.55     car: $i > $o)).
% 0.48/0.55  tff(formula1, axiom,
% 0.48/0.55      ![X0: $i] : (lonely(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7))).
% 0.48/0.55  tff(formula2, axiom,
% 0.48/0.55      ![X0: $i, X1: $i] : (in(X0, X1) <=> (((k!547(X1) = $i!val!9) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3)) | ((k!547(X1) = $i!val!6) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5)) | ((k!547(X1) = $i!val!10) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4))))).
% 0.48/0.55  tff(formula3, axiom,
% 0.48/0.55      ![X0: $i] : (man(X0) <=> ((k!547(X0) = $i!val!10) | (k!547(X0) = $i!val!9)))).
% 0.48/0.55  tff(formula4, axiom,
% 0.48/0.55      ![X0: $i] : (front(X0) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4)))).
% 0.48/0.55  tff(formula5, axiom,
% 0.48/0.55      ![X0: $i] : (white(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8))).
% 0.48/0.55  tff(formula6, axiom,
% 0.48/0.55      ![X0: $i] : (old(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8))).
% 0.48/0.55  tff(formula7, axiom,
% 0.48/0.55      ![X0: $i] : (dirty(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8))).
% 0.48/0.55  tff(formula8, axiom,
% 0.48/0.55      ![X0: $i, X1: $i] : (down(X0, X1) <=> ((k!547(X1) = $i!val!6) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7)))).
% 0.48/0.55  tff(formula9, axiom,
% 0.48/0.55      k!547($i!val!2) = $i!val!2).
% 0.48/0.55  tff(formula10, axiom,
% 0.48/0.55      k!547($i!val!0) = $i!val!0).
% 0.48/0.55  tff(formula11, axiom,
% 0.48/0.55      k!547($i!val!9) = $i!val!9).
% 0.48/0.55  tff(formula12, axiom,
% 0.48/0.55      k!547($i!val!6) = $i!val!6).
% 0.48/0.55  tff(formula13, axiom,
% 0.48/0.56      k!547($i!val!7) = $i!val!7).
% 0.48/0.56  tff(formula14, axiom,
% 0.48/0.56      k!547($i!val!1) = $i!val!1).
% 0.48/0.56  tff(formula15, axiom,
% 0.48/0.56      k!547($i!val!4) = $i!val!4).
% 0.48/0.56  tff(formula16, axiom,
% 0.48/0.56      k!547($i!val!5) = $i!val!5).
% 0.48/0.56  tff(formula17, axiom,
% 0.48/0.56      k!547($i!val!8) = $i!val!8).
% 0.48/0.56  tff(formula18, axiom,
% 0.48/0.56      k!547($i!val!3) = $i!val!3).
% 0.48/0.56  tff(formula19, axiom,
% 0.48/0.56      ![X0: $i] : ((~((($i!val!2 = X0)) | (($i!val!0 = X0)) | (($i!val!9 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)) | (($i!val!8 = X0)) | (($i!val!3 = X0)))) => (k!547(X0) = $i!val!10))).
% 0.48/0.56  tff(formula20, axiom,
% 0.48/0.56      ![X0: $i] : (fellow(X0) <=> ((k!547(X0) = $i!val!10) | (k!547(X0) = $i!val!9)))).
% 0.48/0.56  tff(formula21, axiom,
% 0.48/0.56      ![X0: $i] : (seat(X0) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4)))).
% 0.48/0.56  tff(formula22, axiom,
% 0.48/0.56      ![X0: $i] : (hollywood(X0) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5))).
% 0.48/0.56  tff(formula23, axiom,
% 0.48/0.56      ![X0: $i] : (furniture(X0) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4)))).
% 0.48/0.56  tff(formula24, axiom,
% 0.48/0.56      ![X0: $i] : (way(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7))).
% 0.48/0.56  tff(formula25, axiom,
% 0.48/0.56      ![X0: $i] : (event(X0) <=> (k!547(X0) = $i!val!6))).
% 0.48/0.56  tff(formula26, axiom,
% 0.48/0.56      ![X0: $i] : (city(X0) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5))).
% 0.48/0.56  tff(formula27, axiom,
% 0.48/0.56      ![X0: $i, X1: $i] : (barrel(X0, X1) <=> ((k!547(X1) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8)))).
% 0.48/0.56  tff(formula28, axiom,
% 0.48/0.56      ![X0: $i] : (young(X0) <=> ((k!547(X0) = $i!val!10) | (k!547(X0) = $i!val!9)))).
% 0.48/0.56  tff(formula29, axiom,
% 0.48/0.56      ![X0: $i] : (chevy(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8))).
% 0.48/0.56  tff(formula30, axiom,
% 0.48/0.56      ![X0: $i] : (street(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7))).
% 0.48/0.56  tff(formula31, axiom,
% 0.48/0.56      ![X0: $i] : (car(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, $i!val!5))) = $i!val!8))).
% 0.48/0.56  % SZS output end Model
%------------------------------------------------------------------------------