TSTP Solution File: NLP221-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP221-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.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 08:48:22 EDT 2022

% Result   : Satisfiable 0.20s 0.41s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP221-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n015.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 05:56:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 0.20/0.41  % SZS status Satisfiable
% 0.20/0.41  % SZS output start Model
% 0.20/0.41  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.41     tptp_fun__i_val_5: $i)).
% 0.20/0.41  tff(skc25_type, type, (
% 0.20/0.41     skc25: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.41     tptp_fun__i_val_1: $i)).
% 0.20/0.41  tff(skc17_type, type, (
% 0.20/0.41     skc17: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.41     tptp_fun__i_val_6: $i)).
% 0.20/0.41  tff(skc18_type, type, (
% 0.20/0.41     skc18: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.41     tptp_fun__i_val_7: $i)).
% 0.20/0.41  tff(skc19_type, type, (
% 0.20/0.41     skc19: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.41     tptp_fun__i_val_8: $i)).
% 0.20/0.41  tff(skc20_type, type, (
% 0.20/0.41     skc20: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.41     tptp_fun__i_val_2: $i)).
% 0.20/0.41  tff(skc22_type, type, (
% 0.20/0.41     skc22: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.41     tptp_fun__i_val_4: $i)).
% 0.20/0.41  tff(skc24_type, type, (
% 0.20/0.41     skc24: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.41     tptp_fun__i_val_9: $i)).
% 0.20/0.41  tff(skc21_type, type, (
% 0.20/0.41     skc21: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.41     tptp_fun__i_val_0: $i)).
% 0.20/0.41  tff(skc32_type, type, (
% 0.20/0.41     skc32: $i)).
% 0.20/0.41  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.41     tptp_fun__i_val_3: $i)).
% 0.20/0.41  tff(skc23_type, type, (
% 0.20/0.41     skc23: $i)).
% 0.20/0.41  tff(ssSkC0_type, type, (
% 0.20/0.41     ssSkC0: $o)).
% 0.20/0.41  tff(skc29_type, type, (
% 0.20/0.41     skc29: $i)).
% 0.20/0.41  tff(accessible_world_type, type, (
% 0.20/0.41     accessible_world: ( $i * $i ) > $o)).
% 0.20/0.41  tff(be_type, type, (
% 0.20/0.41     be: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.41  tff(proposition_type, type, (
% 0.20/0.41     proposition: ( $i * $i ) > $o)).
% 0.20/0.41  tff(think_believe_consider_type, type, (
% 0.20/0.41     think_believe_consider: ( $i * $i ) > $o)).
% 0.20/0.41  tff(theme_type, type, (
% 0.20/0.41     theme: ( $i * $i * $i ) > $o)).
% 0.20/0.41  tff(skf11_type, type, (
% 0.20/0.41     skf11: $i > $i)).
% 0.20/0.41  tff(skf13_type, type, (
% 0.20/0.41     skf13: $i > $i)).
% 0.20/0.41  tff(state_type, type, (
% 0.20/0.41     state: ( $i * $i ) > $o)).
% 0.20/0.41  tff(smoke_type, type, (
% 0.20/0.41     smoke: ( $i * $i ) > $o)).
% 0.20/0.41  tff(event_type, type, (
% 0.20/0.41     event: ( $i * $i ) > $o)).
% 0.20/0.41  tff(present_type, type, (
% 0.20/0.41     present: ( $i * $i ) > $o)).
% 0.20/0.41  tff(skf7_type, type, (
% 0.20/0.41     skf7: $i > $i)).
% 0.20/0.41  tff(skf5_type, type, (
% 0.20/0.41     skf5: $i > $i)).
% 0.20/0.41  tff(actual_world_type, type, (
% 0.20/0.41     actual_world: $i > $o)).
% 0.20/0.41  tff(vincent_forename_type, type, (
% 0.20/0.41     vincent_forename: ( $i * $i ) > $o)).
% 0.20/0.41  tff(agent_type, type, (
% 0.20/0.41     agent: ( $i * $i * $i ) > $o)).
% 0.20/0.41  tff(of_type, type, (
% 0.20/0.41     of: ( $i * $i * $i ) > $o)).
% 0.20/0.41  tff(forename_type, type, (
% 0.20/0.41     forename: ( $i * $i ) > $o)).
% 0.20/0.41  tff(man_type, type, (
% 0.20/0.41     man: ( $i * $i ) > $o)).
% 0.20/0.41  tff(jules_forename_type, type, (
% 0.20/0.41     jules_forename: ( $i * $i ) > $o)).
% 0.20/0.41  tff(formula1, axiom,
% 0.20/0.41      skc25 = $i!val!5).
% 0.20/0.41  tff(formula2, axiom,
% 0.20/0.41      skc17 = $i!val!1).
% 0.20/0.41  tff(formula3, axiom,
% 0.20/0.41      skc18 = $i!val!6).
% 0.20/0.41  tff(formula4, axiom,
% 0.20/0.41      skc19 = $i!val!7).
% 0.20/0.41  tff(formula5, axiom,
% 0.20/0.41      skc20 = $i!val!8).
% 0.20/0.41  tff(formula6, axiom,
% 0.20/0.41      skc22 = $i!val!2).
% 0.20/0.41  tff(formula7, axiom,
% 0.20/0.41      skc24 = $i!val!4).
% 0.20/0.41  tff(formula8, axiom,
% 0.20/0.41      skc21 = $i!val!9).
% 0.20/0.41  tff(formula9, axiom,
% 0.20/0.41      skc32 = $i!val!0).
% 0.20/0.41  tff(formula10, axiom,
% 0.20/0.41      skc23 = $i!val!3).
% 0.20/0.41  tff(formula11, axiom,
% 0.20/0.41      ssSkC0 <=> $true).
% 0.20/0.41  tff(formula12, axiom,
% 0.20/0.41      skc29 = $i!val!0).
% 0.20/0.41  tff(formula13, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!2)))).
% 0.20/0.41  tff(formula14, axiom,
% 0.20/0.41      ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> ((ite_t((X3 = $i!val!2), $i!val!2, ite_t((X3 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!9) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!7)))).
% 0.20/0.41  tff(formula15, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (proposition(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!2)))).
% 0.20/0.41  tff(formula16, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> (ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1))).
% 0.20/0.41  tff(formula17, axiom,
% 0.20/0.41      ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!2)))).
% 0.20/0.42  tff(formula18, axiom,
% 0.20/0.42      ![X0: $i] : (skf11(X0) = $i!val!0)).
% 0.20/0.42  tff(formula19, axiom,
% 0.20/0.42      ![X0: $i] : (skf13(X0) = $i!val!0)).
% 0.20/0.42  tff(formula20, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (state(X0, X1) <=> (ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1))).
% 0.20/0.42  tff(formula21, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (smoke(X0, X1) <=> $false)).
% 0.20/0.42  tff(formula22, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (event(X0, X1) <=> (ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1))).
% 0.20/0.42  tff(formula23, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (present(X0, X1) <=> (ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1))).
% 0.20/0.42  tff(formula24, axiom,
% 0.20/0.42      ![X0: $i] : (skf7(X0) = $i!val!0)).
% 0.20/0.42  tff(formula25, axiom,
% 0.20/0.42      ![X0: $i] : (skf5(X0) = $i!val!0)).
% 0.20/0.42  tff(formula26, axiom,
% 0.20/0.42      ![X0: $i] : (actual_world(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!0) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1)))).
% 0.20/0.42  tff(formula27, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!8), $i!val!8, $i!val!4) = $i!val!4)))).
% 0.20/0.42  tff(formula28, axiom,
% 0.20/0.42      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!5)))).
% 0.20/0.42  tff(formula29, axiom,
% 0.20/0.42      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X1 = $i!val!8), $i!val!8, $i!val!4) = $i!val!4) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!5)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X1 = $i!val!8), $i!val!8, $i!val!4) = $i!val!8) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!9))))).
% 0.20/0.42  tff(formula30, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!8), $i!val!8, $i!val!4) = $i!val!4)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!8), $i!val!8, $i!val!4) = $i!val!8))))).
% 0.20/0.42  tff(formula31, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (man(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!5)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!7)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!5)) = $i!val!9))))).
% 0.20/0.42  tff(formula32, axiom,
% 0.20/0.42      ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!1)) = $i!val!1) & (ite_t((X0 = $i!val!8), $i!val!8, $i!val!4) = $i!val!8)))).
% 0.20/0.42  % SZS output end Model
%------------------------------------------------------------------------------