TSTP Solution File: NLP039+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP039+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n024.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 08:47:00 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.45s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP039+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n024.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 03:56:48 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.
% 0.19/0.45  % SZS status CounterSatisfiable
% 0.19/0.45  % SZS output start Model
% 0.19/0.45  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.45     tptp_fun__i_val_1: $i)).
% 0.19/0.45  tff(k!9_type, type, (
% 0.19/0.45     k!9: $i > $i)).
% 0.19/0.45  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.45     tptp_fun__i_val_3: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.45     tptp_fun__i_val_4: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.45     tptp_fun__i_val_2: $i)).
% 0.19/0.45  tff(member_type, type, (
% 0.19/0.45     member: ( $i * $i * $i ) > $o)).
% 0.19/0.45  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.45     tptp_fun__i_val_5: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.45     tptp_fun__i_val_9: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.45     tptp_fun__i_val_7: $i)).
% 0.19/0.45  tff(existent_type, type, (
% 0.19/0.45     existent: ( $i * $i ) > $o)).
% 0.19/0.45  tff(with_type, type, (
% 0.19/0.45     with: ( $i * $i * $i ) > $o)).
% 0.19/0.45  tff(at_type, type, (
% 0.19/0.45     at: ( $i * $i * $i ) > $o)).
% 0.19/0.45  tff(burger_type, type, (
% 0.19/0.45     burger: ( $i * $i ) > $o)).
% 0.19/0.45  tff(guy_type, type, (
% 0.19/0.45     guy: ( $i * $i ) > $o)).
% 0.19/0.45  tff(present_type, type, (
% 0.19/0.45     present: ( $i * $i ) > $o)).
% 0.19/0.45  tff(human_person_type, type, (
% 0.19/0.45     human_person: ( $i * $i ) > $o)).
% 0.19/0.45  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.45     tptp_fun__i_val_0: $i)).
% 0.19/0.45  tff(young_type, type, (
% 0.19/0.45     young: ( $i * $i ) > $o)).
% 0.19/0.45  tff(human_type, type, (
% 0.19/0.45     human: ( $i * $i ) > $o)).
% 0.19/0.45  tff(actual_world_type, type, (
% 0.19/0.45     actual_world: $i > $o)).
% 0.19/0.45  tff(living_type, type, (
% 0.19/0.45     living: ( $i * $i ) > $o)).
% 0.19/0.45  tff(impartial_type, type, (
% 0.19/0.45     impartial: ( $i * $i ) > $o)).
% 0.19/0.45  tff(hamburger_type, type, (
% 0.19/0.45     hamburger: ( $i * $i ) > $o)).
% 0.19/0.45  tff(agent_type, type, (
% 0.19/0.45     agent: ( $i * $i * $i ) > $o)).
% 0.19/0.45  tff(meat_type, type, (
% 0.19/0.45     meat: ( $i * $i ) > $o)).
% 0.19/0.45  tff(instrumentality_type, type, (
% 0.19/0.45     instrumentality: ( $i * $i ) > $o)).
% 0.19/0.45  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.45     tptp_fun__i_val_10: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.45     tptp_fun__i_val_8: $i)).
% 0.19/0.45  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.45     tptp_fun__i_val_6: $i)).
% 0.19/0.45  tff(multiple_type, type, (
% 0.19/0.45     multiple: ( $i * $i ) > $o)).
% 0.19/0.45  tff(organism_type, type, (
% 0.19/0.45     organism: ( $i * $i ) > $o)).
% 0.19/0.45  tff(group_type, type, (
% 0.19/0.45     group: ( $i * $i ) > $o)).
% 0.19/0.45  tff(nonliving_type, type, (
% 0.19/0.45     nonliving: ( $i * $i ) > $o)).
% 0.19/0.45  tff(specific_type, type, (
% 0.19/0.45     specific: ( $i * $i ) > $o)).
% 0.19/0.45  tff(unisex_type, type, (
% 0.19/0.45     unisex: ( $i * $i ) > $o)).
% 0.19/0.45  tff(thing_type, type, (
% 0.19/0.45     thing: ( $i * $i ) > $o)).
% 0.19/0.45  tff(substance_matter_type, type, (
% 0.19/0.45     substance_matter: ( $i * $i ) > $o)).
% 0.19/0.45  tff(artifact_type, type, (
% 0.19/0.45     artifact: ( $i * $i ) > $o)).
% 0.19/0.45  tff(food_type, type, (
% 0.19/0.45     food: ( $i * $i ) > $o)).
% 0.19/0.45  tff(furniture_type, type, (
% 0.19/0.45     furniture: ( $i * $i ) > $o)).
% 0.19/0.45  tff(nonexistent_type, type, (
% 0.19/0.45     nonexistent: ( $i * $i ) > $o)).
% 0.19/0.45  tff(object_type, type, (
% 0.19/0.45     object: ( $i * $i ) > $o)).
% 0.19/0.45  tff(event_type, type, (
% 0.19/0.45     event: ( $i * $i ) > $o)).
% 0.19/0.45  tff(set_type, type, (
% 0.19/0.45     set: ( $i * $i ) > $o)).
% 0.19/0.45  tff(male_type, type, (
% 0.19/0.45     male: ( $i * $i ) > $o)).
% 0.19/0.45  tff(entity_type, type, (
% 0.19/0.45     entity: ( $i * $i ) > $o)).
% 0.19/0.45  tff(three_type, type, (
% 0.19/0.45     three: ( $i * $i ) > $o)).
% 0.19/0.45  tff(singleton_type, type, (
% 0.19/0.45     singleton: ( $i * $i ) > $o)).
% 0.19/0.45  tff(animate_type, type, (
% 0.19/0.45     animate: ( $i * $i ) > $o)).
% 0.19/0.45  tff(eventuality_type, type, (
% 0.19/0.45     eventuality: ( $i * $i ) > $o)).
% 0.19/0.45  tff(man_type, type, (
% 0.19/0.45     man: ( $i * $i ) > $o)).
% 0.19/0.45  tff(table_type, type, (
% 0.19/0.45     table: ( $i * $i ) > $o)).
% 0.19/0.45  tff(sit_type, type, (
% 0.19/0.45     sit: ( $i * $i ) > $o)).
% 0.19/0.45  tff(formula1, axiom,
% 0.19/0.45      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (((k!9(X1) = $i!val!2) & (k!9(X0) = $i!val!1)) | ((k!9(X1) = $i!val!4) & (k!9(X0) = $i!val!1)) | ((k!9(X1) = $i!val!3) & (k!9(X0) = $i!val!1))))).
% 0.19/0.45  tff(formula2, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (existent(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.45  tff(formula3, axiom,
% 0.19/0.45      ![X0: $i, X1: $i, X2: $i] : (with(X0, X1, X2) <=> $false)).
% 0.19/0.45  tff(formula4, axiom,
% 0.19/0.45      ![X0: $i, X1: $i, X2: $i] : (at(X0, X1, X2) <=> $false)).
% 0.19/0.45  tff(formula5, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (burger(X0, X1) <=> $false)).
% 0.19/0.45  tff(formula6, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (guy(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.45  tff(formula7, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (present(X0, X1) <=> $false)).
% 0.19/0.45  tff(formula8, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (human_person(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula9, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (young(X0, X1) <=> (((X1 = $i!val!0) & (k!9(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!9(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!9(X0) = $i!val!3))))).
% 0.19/0.46  tff(formula10, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (human(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula11, axiom,
% 0.19/0.46      ![X0: $i] : (actual_world(X0) <=> $true)).
% 0.19/0.46  tff(formula12, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (living(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula13, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (impartial(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.46  tff(formula14, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (hamburger(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula15, axiom,
% 0.19/0.46      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> $false)).
% 0.19/0.46  tff(formula16, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (meat(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula17, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (instrumentality(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula18, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (multiple(X0, X1) <=> ((k!9(X0) = $i!val!1) | (k!9(X0) = $i!val!6) | (k!9(X0) = $i!val!8) | (k!9(X0) = $i!val!10)))).
% 0.19/0.46  tff(formula19, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (organism(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula20, axiom,
% 0.19/0.46      k!9($i!val!3) = $i!val!3).
% 0.19/0.46  tff(formula21, axiom,
% 0.19/0.46      k!9($i!val!6) = $i!val!6).
% 0.19/0.46  tff(formula22, axiom,
% 0.19/0.46      k!9($i!val!8) = $i!val!8).
% 0.19/0.46  tff(formula23, axiom,
% 0.19/0.46      k!9($i!val!7) = $i!val!7).
% 0.19/0.46  tff(formula24, axiom,
% 0.19/0.46      k!9($i!val!5) = $i!val!5).
% 0.19/0.46  tff(formula25, axiom,
% 0.19/0.46      k!9($i!val!10) = $i!val!10).
% 0.19/0.46  tff(formula26, axiom,
% 0.19/0.46      k!9($i!val!9) = $i!val!9).
% 0.19/0.46  tff(formula27, axiom,
% 0.19/0.46      k!9($i!val!4) = $i!val!4).
% 0.19/0.46  tff(formula28, axiom,
% 0.19/0.46      k!9($i!val!2) = $i!val!2).
% 0.19/0.46  tff(formula29, axiom,
% 0.19/0.46      k!9($i!val!1) = $i!val!1).
% 0.19/0.46  tff(formula30, axiom,
% 0.19/0.46      ![X0: $i] : ((~((($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!7 = X0)) | (($i!val!5 = X0)) | (($i!val!10 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)))) => (k!9(X0) = $i!val!0))).
% 0.19/0.46  tff(formula31, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (group(X0, X1) <=> ((k!9(X0) = $i!val!1) | (k!9(X0) = $i!val!6) | (k!9(X0) = $i!val!8) | (k!9(X0) = $i!val!10)))).
% 0.19/0.46  tff(formula32, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (nonliving(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula33, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (specific(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.46  tff(formula34, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (unisex(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula35, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (thing(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.46  tff(formula36, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (substance_matter(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula37, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (artifact(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula38, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (food(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula39, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (furniture(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula40, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (nonexistent(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula41, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (object(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula42, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (event(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula43, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (set(X0, X1) <=> ((k!9(X0) = $i!val!1) | (k!9(X0) = $i!val!6) | (k!9(X0) = $i!val!8) | (k!9(X0) = $i!val!10)))).
% 0.19/0.46  tff(formula44, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (male(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula45, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (entity(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.46  tff(formula46, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (three(X0, X1) <=> (k!9(X0) = $i!val!1))).
% 0.19/0.46  tff(formula47, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (singleton(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4) | (k!9(X0) = $i!val!5)))).
% 0.19/0.46  tff(formula48, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (animate(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula49, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (eventuality(X0, X1) <=> $false)).
% 0.19/0.46  tff(formula50, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (man(X0, X1) <=> ((k!9(X0) = $i!val!3) | (k!9(X0) = $i!val!2) | (k!9(X0) = $i!val!4)))).
% 0.19/0.46  tff(formula51, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (table(X0, X1) <=> ((k!9(X0) = $i!val!5) | (k!9(X0) = $i!val!7) | (k!9(X0) = $i!val!9)))).
% 0.19/0.46  tff(formula52, axiom,
% 0.19/0.46      ![X0: $i, X1: $i] : (sit(X0, X1) <=> $false)).
% 0.19/0.46  % SZS output end Model
%------------------------------------------------------------------------------