TSTP Solution File: NLP161+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP161+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n003.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 08:47:58 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.41s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP161+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 : n003.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 05:07:09 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.
% 0.19/0.41  % SZS status CounterSatisfiable
% 0.19/0.41  % SZS output start Model
% 0.19/0.41  tff(placename_type, type, (
% 0.19/0.41     placename: ( $i * $i ) > $o)).
% 0.19/0.41  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.41     tptp_fun__i_val_7: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.41     tptp_fun__i_val_1: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.41     tptp_fun__i_val_8: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.41     tptp_fun__i_val_9: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.41     tptp_fun__i_val_4: $i)).
% 0.19/0.41  tff(member_type, type, (
% 0.19/0.41     member: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.41     tptp_fun__i_val_5: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.41     tptp_fun__i_val_2: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.41     tptp_fun__i_val_6: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.41     tptp_fun__i_val_11: $i)).
% 0.19/0.41  tff(down_type, type, (
% 0.19/0.41     down: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(wear_type, type, (
% 0.19/0.41     wear: ( $i * $i ) > $o)).
% 0.19/0.41  tff(fellow_type, type, (
% 0.19/0.41     fellow: ( $i * $i ) > $o)).
% 0.19/0.41  tff(hollywood_placename_type, type, (
% 0.19/0.41     hollywood_placename: ( $i * $i ) > $o)).
% 0.19/0.41  tff(present_type, type, (
% 0.19/0.41     present: ( $i * $i ) > $o)).
% 0.19/0.41  tff(young_type, type, (
% 0.19/0.41     young: ( $i * $i ) > $o)).
% 0.19/0.41  tff(actual_world_type, type, (
% 0.19/0.41     actual_world: $i > $o)).
% 0.19/0.41  tff(agent_type, type, (
% 0.19/0.41     agent: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(cheap_type, type, (
% 0.19/0.41     cheap: ( $i * $i ) > $o)).
% 0.19/0.41  tff(of_type, type, (
% 0.19/0.41     of: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(lonely_type, type, (
% 0.19/0.41     lonely: ( $i * $i ) > $o)).
% 0.19/0.41  tff(two_type, type, (
% 0.19/0.41     two: ( $i * $i ) > $o)).
% 0.19/0.41  tff(group_type, type, (
% 0.19/0.41     group: ( $i * $i ) > $o)).
% 0.19/0.41  tff(dirty_type, type, (
% 0.19/0.41     dirty: ( $i * $i ) > $o)).
% 0.19/0.41  tff(frontseat_type, type, (
% 0.19/0.41     frontseat: ( $i * $i ) > $o)).
% 0.19/0.41  tff(black_type, type, (
% 0.19/0.41     black: ( $i * $i ) > $o)).
% 0.19/0.41  tff(be_type, type, (
% 0.19/0.41     be: ( $i * $i * $i * $i ) > $o)).
% 0.19/0.41  tff(state_type, type, (
% 0.19/0.41     state: ( $i * $i ) > $o)).
% 0.19/0.41  tff(city_type, type, (
% 0.19/0.41     city: ( $i * $i ) > $o)).
% 0.19/0.41  tff(event_type, type, (
% 0.19/0.41     event: ( $i * $i ) > $o)).
% 0.19/0.41  tff(in_type, type, (
% 0.19/0.41     in: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(chevy_type, type, (
% 0.19/0.41     chevy: ( $i * $i ) > $o)).
% 0.19/0.41  tff(barrel_type, type, (
% 0.19/0.41     barrel: ( $i * $i ) > $o)).
% 0.19/0.41  tff(street_type, type, (
% 0.19/0.41     street: ( $i * $i ) > $o)).
% 0.19/0.41  tff(patient_type, type, (
% 0.19/0.41     patient: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(coat_type, type, (
% 0.19/0.41     coat: ( $i * $i ) > $o)).
% 0.19/0.41  tff(nonreflexive_type, type, (
% 0.19/0.41     nonreflexive: ( $i * $i ) > $o)).
% 0.19/0.41  tff(old_type, type, (
% 0.19/0.41     old: ( $i * $i ) > $o)).
% 0.19/0.41  tff(white_type, type, (
% 0.19/0.41     white: ( $i * $i ) > $o)).
% 0.19/0.41  tff(formula1, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (placename(X0, X1) <=> $true)).
% 0.19/0.41  tff(formula2, axiom,
% 0.19/0.41      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> ((ite_t((X1 = $i!val!4), $i!val!4, $i!val!9) = $i!val!9) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, $i!val!7)) = $i!val!7)))).
% 0.19/0.41  tff(formula3, axiom,
% 0.19/0.41      ![X0: $i, X1: $i, X2: $i] : (down(X0, X1, X2) <=> ((ite_t((X1 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!5)))).
% 0.19/0.41  tff(formula4, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (wear(X0, X1) <=> $false)).
% 0.19/0.41  tff(formula5, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (fellow(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!9))).
% 0.19/0.41  tff(formula6, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (hollywood_placename(X0, X1) <=> $true)).
% 0.19/0.41  tff(formula7, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (present(X0, X1) <=> (ite_t((X0 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6))).
% 0.19/0.41  tff(formula8, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (young(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!9))).
% 0.19/0.41  tff(formula9, axiom,
% 0.19/0.41      ![X0: $i] : (actual_world(X0) <=> $true)).
% 0.19/0.41  tff(formula10, axiom,
% 0.19/0.41      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> ((ite_t((X1 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6) & (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!4)))).
% 0.19/0.41  tff(formula11, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (cheap(X0, X1) <=> $false)).
% 0.19/0.41  tff(formula12, axiom,
% 0.19/0.41      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!2))).
% 0.19/0.41  tff(formula13, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (lonely(X0, X1) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!5))).
% 0.19/0.41  tff(formula14, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (two(X0, X1) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, $i!val!7)) = $i!val!7))).
% 0.19/0.42  tff(formula15, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (group(X0, X1) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, $i!val!7)) = $i!val!7) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, $i!val!7)) = $i!val!8) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, $i!val!7)) = $i!val!1)))).
% 0.19/0.42  tff(formula16, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (dirty(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!4))).
% 0.19/0.42  tff(formula17, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (frontseat(X0, X1) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!2))).
% 0.19/0.42  tff(formula18, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (black(X0, X1) <=> $false)).
% 0.19/0.42  tff(formula19, axiom,
% 0.19/0.42      ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> ((ite_t((X1 = $i!val!4), $i!val!4, $i!val!9) = $i!val!9) & (ite_t((X0 = $i!val!11), $i!val!11, $i!val!6) = $i!val!11)))).
% 0.19/0.42  tff(formula20, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (state(X0, X1) <=> $true)).
% 0.19/0.42  tff(formula21, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (city(X0, X1) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!2))).
% 0.19/0.42  tff(formula22, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (event(X0, X1) <=> (ite_t((X0 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6))).
% 0.19/0.42  tff(formula23, axiom,
% 0.19/0.42      ![X0: $i, X1: $i, X2: $i] : (in(X0, X1, X2) <=> (((ite_t((X1 = $i!val!11), $i!val!11, $i!val!6) = $i!val!11) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!2)) | ((ite_t((X1 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!2))))).
% 0.19/0.42  tff(formula24, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (chevy(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!4))).
% 0.19/0.42  tff(formula25, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (barrel(X0, X1) <=> (ite_t((X0 = $i!val!11), $i!val!11, $i!val!6) = $i!val!6))).
% 0.19/0.42  tff(formula26, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (street(X0, X1) <=> (ite_t((X0 = $i!val!2), $i!val!2, $i!val!5) = $i!val!5))).
% 0.19/0.42  tff(formula27, axiom,
% 0.19/0.42      ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> $false)).
% 0.19/0.42  tff(formula28, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (coat(X0, X1) <=> $false)).
% 0.19/0.42  tff(formula29, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> $false)).
% 0.19/0.42  tff(formula30, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (old(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!4))).
% 0.19/0.42  tff(formula31, axiom,
% 0.19/0.42      ![X0: $i, X1: $i] : (white(X0, X1) <=> (ite_t((X0 = $i!val!4), $i!val!4, $i!val!9) = $i!val!4))).
% 0.19/0.42  % SZS output end Model
%------------------------------------------------------------------------------