TSTP Solution File: NLP133-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP133-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n018.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 08:47:44 EDT 2022

% Result   : Satisfiable 0.19s 0.43s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP133-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Sep  2 04:55:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35  Usage: tptp [options] [-file:]file
% 0.12/0.35    -h, -?       prints this message.
% 0.12/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.35    -m, -model   generate model.
% 0.12/0.35    -p, -proof   generate proof.
% 0.12/0.35    -c, -core    generate unsat core of named formulas.
% 0.12/0.35    -st, -statistics display statistics.
% 0.12/0.35    -t:timeout   set timeout (in second).
% 0.12/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35    -<param>:<value> configuration parameter and value.
% 0.12/0.35    -o:<output-file> file to place output in.
% 0.19/0.43  % SZS status Satisfiable
% 0.19/0.43  % SZS output start Model
% 0.19/0.43  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.43     tptp_fun__i_val_2: $i)).
% 0.19/0.43  tff(skc46_type, type, (
% 0.19/0.43     skc46: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.43     tptp_fun__i_val_0: $i)).
% 0.19/0.43  tff(skc42_type, type, (
% 0.19/0.43     skc42: $i)).
% 0.19/0.43  tff(skc13_type, type, (
% 0.19/0.43     skc13: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.43     tptp_fun__i_val_4: $i)).
% 0.19/0.43  tff(skc44_type, type, (
% 0.19/0.43     skc44: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.43     tptp_fun__i_val_1: $i)).
% 0.19/0.43  tff(skc12_type, type, (
% 0.19/0.43     skc12: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.43     tptp_fun__i_val_5: $i)).
% 0.19/0.43  tff(skc45_type, type, (
% 0.19/0.43     skc45: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.43     tptp_fun__i_val_3: $i)).
% 0.19/0.43  tff(skc47_type, type, (
% 0.19/0.43     skc47: $i)).
% 0.19/0.43  tff(ssSkC0_type, type, (
% 0.19/0.43     ssSkC0: $o)).
% 0.19/0.43  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.43     tptp_fun__i_val_6: $i)).
% 0.19/0.43  tff(skc43_type, type, (
% 0.19/0.43     skc43: $i)).
% 0.19/0.43  tff(placename_type, type, (
% 0.19/0.43     placename: ( $i * $i ) > $o)).
% 0.19/0.43  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.43     tptp_fun__i_val_8: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.43     tptp_fun__i_val_7: $i)).
% 0.19/0.43  tff(member_type, type, (
% 0.19/0.43     member: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(down_type, type, (
% 0.19/0.43     down: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(fellow_type, type, (
% 0.19/0.43     fellow: ( $i * $i ) > $o)).
% 0.19/0.43  tff(hollywood_placename_type, type, (
% 0.19/0.43     hollywood_placename: ( $i * $i ) > $o)).
% 0.19/0.43  tff(skf10_type, type, (
% 0.19/0.43     skf10: ( $i * $i ) > $i)).
% 0.19/0.43  tff(present_type, type, (
% 0.19/0.43     present: ( $i * $i ) > $o)).
% 0.19/0.43  tff(young_type, type, (
% 0.19/0.43     young: ( $i * $i ) > $o)).
% 0.19/0.43  tff(actual_world_type, type, (
% 0.19/0.43     actual_world: $i > $o)).
% 0.19/0.43  tff(skf14_type, type, (
% 0.19/0.43     skf14: ( $i * $i ) > $i)).
% 0.19/0.43  tff(agent_type, type, (
% 0.19/0.43     agent: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(lonely_type, type, (
% 0.19/0.43     lonely: ( $i * $i ) > $o)).
% 0.19/0.43  tff(two_type, type, (
% 0.19/0.43     two: ( $i * $i ) > $o)).
% 0.19/0.43  tff(of_type, type, (
% 0.19/0.43     of: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(skf15_type, type, (
% 0.19/0.43     skf15: ( $i * $i ) > $i)).
% 0.19/0.43  tff(group_type, type, (
% 0.19/0.43     group: ( $i * $i ) > $o)).
% 0.19/0.43  tff(dirty_type, type, (
% 0.19/0.43     dirty: ( $i * $i ) > $o)).
% 0.19/0.43  tff(frontseat_type, type, (
% 0.19/0.43     frontseat: ( $i * $i ) > $o)).
% 0.19/0.43  tff(skf11_type, type, (
% 0.19/0.43     skf11: ( $i * $i ) > $i)).
% 0.19/0.43  tff(skf19_type, type, (
% 0.19/0.43     skf19: ( $i * $i ) > $i)).
% 0.19/0.43  tff(be_type, type, (
% 0.19/0.43     be: ( $i * $i * $i * $i ) > $o)).
% 0.19/0.43  tff(ssSkP0_type, type, (
% 0.19/0.43     ssSkP0: ( $i * $i ) > $o)).
% 0.19/0.43  tff(state_type, type, (
% 0.19/0.43     state: ( $i * $i ) > $o)).
% 0.19/0.43  tff(skf21_type, type, (
% 0.19/0.43     skf21: ( $i * $i ) > $i)).
% 0.19/0.43  tff(city_type, type, (
% 0.19/0.43     city: ( $i * $i ) > $o)).
% 0.19/0.43  tff(event_type, type, (
% 0.19/0.43     event: ( $i * $i ) > $o)).
% 0.19/0.43  tff(skf9_type, type, (
% 0.19/0.43     skf9: ( $i * $i ) > $i)).
% 0.19/0.43  tff(skf16_type, type, (
% 0.19/0.43     skf16: ( $i * $i ) > $i)).
% 0.19/0.43  tff(in_type, type, (
% 0.19/0.43     in: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(chevy_type, type, (
% 0.19/0.43     chevy: ( $i * $i ) > $o)).
% 0.19/0.43  tff(ssSkP1_type, type, (
% 0.19/0.43     ssSkP1: ( $i * $i ) > $o)).
% 0.19/0.43  tff(barrel_type, type, (
% 0.19/0.43     barrel: ( $i * $i ) > $o)).
% 0.19/0.43  tff(street_type, type, (
% 0.19/0.43     street: ( $i * $i ) > $o)).
% 0.19/0.43  tff(old_type, type, (
% 0.19/0.43     old: ( $i * $i ) > $o)).
% 0.19/0.43  tff(white_type, type, (
% 0.19/0.43     white: ( $i * $i ) > $o)).
% 0.19/0.43  tff(formula1, axiom,
% 0.19/0.43      skc46 = $i!val!2).
% 0.19/0.43  tff(formula2, axiom,
% 0.19/0.43      skc42 = $i!val!0).
% 0.19/0.43  tff(formula3, axiom,
% 0.19/0.43      skc13 = $i!val!0).
% 0.19/0.43  tff(formula4, axiom,
% 0.19/0.43      skc44 = $i!val!4).
% 0.19/0.43  tff(formula5, axiom,
% 0.19/0.43      skc12 = $i!val!1).
% 0.19/0.43  tff(formula6, axiom,
% 0.19/0.43      skc45 = $i!val!5).
% 0.19/0.43  tff(formula7, axiom,
% 0.19/0.43      skc47 = $i!val!3).
% 0.19/0.43  tff(formula8, axiom,
% 0.19/0.43      ssSkC0 <=> $false).
% 0.19/0.43  tff(formula9, axiom,
% 0.19/0.43      skc43 = $i!val!6).
% 0.19/0.43  tff(formula10, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (placename(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.43  tff(formula11, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!7)) | ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!8))))).
% 0.19/0.43  tff(formula12, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i] : (down(X0, X1, X2) <=> ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!5)))).
% 0.19/0.43  tff(formula13, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (fellow(X0, X1) <=> $false)).
% 0.19/0.43  tff(formula14, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (hollywood_placename(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.43  tff(formula15, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf10(X0, X1) = $i!val!0)).
% 0.19/0.43  tff(formula16, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (present(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4)))).
% 0.19/0.43  tff(formula17, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (young(X0, X1) <=> $false)).
% 0.19/0.43  tff(formula18, axiom,
% 0.19/0.43      ![X0: $i] : (actual_world(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0)))).
% 0.19/0.43  tff(formula19, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf14(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1), $i!val!7, $i!val!0))).
% 0.19/0.43  tff(formula20, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.43  tff(formula21, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (lonely(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!5)))).
% 0.19/0.43  tff(formula22, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (two(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.43  tff(formula23, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.43  tff(formula24, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf15(X0, X1) = $i!val!0)).
% 0.19/0.43  tff(formula25, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (group(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.43  tff(formula26, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (dirty(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.43  tff(formula27, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (frontseat(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!7)))).
% 0.19/0.43  tff(formula28, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf11(X0, X1) = $i!val!0)).
% 0.19/0.43  tff(formula29, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf19(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1), $i!val!8, $i!val!0))).
% 0.19/0.43  tff(formula30, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> $false)).
% 0.19/0.43  tff(formula31, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (ssSkP0(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.43  tff(formula32, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (state(X0, X1) <=> $false)).
% 0.19/0.43  tff(formula33, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (skf21(X0, X1) = $i!val!0)).
% 0.19/0.43  tff(formula34, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (city(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.44  tff(formula35, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (event(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4)))).
% 0.19/0.44  tff(formula36, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (skf9(X0, X1) = $i!val!0)).
% 0.19/0.44  tff(formula37, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (skf16(X0, X1) = $i!val!0)).
% 0.19/0.44  tff(formula38, axiom,
% 0.19/0.44      ![X0: $i, X1: $i, X2: $i] : (in(X0, X1, X2) <=> ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.44  tff(formula39, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (chevy(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.44  tff(formula40, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (ssSkP1(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.19/0.44  tff(formula41, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (barrel(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!4)))).
% 0.19/0.44  tff(formula42, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (street(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!5)))).
% 0.19/0.44  tff(formula43, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (old(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.44  tff(formula44, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (white(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))) = $i!val!2)))).
% 0.19/0.44  % SZS output end Model
%------------------------------------------------------------------------------