TSTP Solution File: NLP231-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP231-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n027.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 08:48:28 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
% 0.11/0.11  % Problem  : NLP231-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Sep  2 06:09:04 EDT 2022
% 0.12/0.33  % 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.
% 0.19/0.43  % 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(skc55_type, type, (
% 0.19/0.43     skc55: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.43     tptp_fun__i_val_12: $i)).
% 0.19/0.43  tff(skc47_type, type, (
% 0.19/0.43     skc47: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.43     tptp_fun__i_val_9: $i)).
% 0.19/0.43  tff(skc53_type, type, (
% 0.19/0.43     skc53: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.43     tptp_fun__i_val_10: $i)).
% 0.19/0.43  tff(skc51_type, type, (
% 0.19/0.43     skc51: $i)).
% 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(skc50_type, type, (
% 0.19/0.43     skc50: $i)).
% 0.19/0.43  tff(ssSkC0_type, type, (
% 0.19/0.43     ssSkC0: $o)).
% 0.19/0.43  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.43     tptp_fun__i_val_13: $i)).
% 0.19/0.43  tff(skc48_type, type, (
% 0.19/0.43     skc48: $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(skc58_type, type, (
% 0.19/0.43     skc58: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.43     tptp_fun__i_val_11: $i)).
% 0.19/0.43  tff(skc52_type, type, (
% 0.19/0.43     skc52: $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(skc56_type, type, (
% 0.19/0.43     skc56: $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(skc28_type, type, (
% 0.19/0.43     skc28: $i)).
% 0.19/0.43  tff(skc38_type, type, (
% 0.19/0.43     skc38: $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(skc57_type, type, (
% 0.19/0.43     skc57: $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(skc45_type, type, (
% 0.19/0.43     skc45: $i)).
% 0.19/0.43  tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.43     tptp_fun__i_val_14: $i)).
% 0.19/0.43  tff(skc49_type, type, (
% 0.19/0.43     skc49: $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(skc54_type, type, (
% 0.19/0.43     skc54: $i)).
% 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(skc46_type, type, (
% 0.19/0.43     skc46: $i)).
% 0.19/0.43  tff(accessible_world_type, type, (
% 0.19/0.43     accessible_world: ( $i * $i ) > $o)).
% 0.19/0.43  tff(be_type, type, (
% 0.19/0.43     be: ( $i * $i * $i * $i ) > $o)).
% 0.19/0.43  tff(proposition_type, type, (
% 0.19/0.43     proposition: ( $i * $i ) > $o)).
% 0.19/0.43  tff(think_believe_consider_type, type, (
% 0.19/0.43     think_believe_consider: ( $i * $i ) > $o)).
% 0.19/0.43  tff(theme_type, type, (
% 0.19/0.43     theme: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(skf11_type, type, (
% 0.19/0.43     skf11: $i > $i)).
% 0.19/0.43  tff(state_type, type, (
% 0.19/0.43     state: ( $i * $i ) > $o)).
% 0.19/0.43  tff(smoke_type, type, (
% 0.19/0.43     smoke: ( $i * $i ) > $o)).
% 0.19/0.43  tff(event_type, type, (
% 0.19/0.43     event: ( $i * $i ) > $o)).
% 0.19/0.43  tff(present_type, type, (
% 0.19/0.43     present: ( $i * $i ) > $o)).
% 0.19/0.43  tff(skf7_type, type, (
% 0.19/0.43     skf7: $i > $i)).
% 0.19/0.43  tff(skf5_type, type, (
% 0.19/0.43     skf5: $i > $i)).
% 0.19/0.43  tff(actual_world_type, type, (
% 0.19/0.43     actual_world: $i > $o)).
% 0.19/0.43  tff(vincent_forename_type, type, (
% 0.19/0.43     vincent_forename: ( $i * $i ) > $o)).
% 0.19/0.43  tff(agent_type, type, (
% 0.19/0.43     agent: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(skf9_type, type, (
% 0.19/0.43     skf9: $i > $i)).
% 0.19/0.43  tff(of_type, type, (
% 0.19/0.43     of: ( $i * $i * $i ) > $o)).
% 0.19/0.43  tff(forename_type, type, (
% 0.19/0.43     forename: ( $i * $i ) > $o)).
% 0.19/0.43  tff(man_type, type, (
% 0.19/0.43     man: ( $i * $i ) > $o)).
% 0.19/0.43  tff(jules_forename_type, type, (
% 0.19/0.43     jules_forename: ( $i * $i ) > $o)).
% 0.19/0.43  tff(formula1, axiom,
% 0.19/0.43      skc55 = $i!val!2).
% 0.19/0.43  tff(formula2, axiom,
% 0.19/0.43      skc47 = $i!val!12).
% 0.19/0.43  tff(formula3, axiom,
% 0.19/0.43      skc53 = $i!val!9).
% 0.19/0.43  tff(formula4, axiom,
% 0.19/0.43      skc51 = $i!val!10).
% 0.19/0.43  tff(formula5, axiom,
% 0.19/0.43      skc50 = $i!val!6).
% 0.19/0.43  tff(formula6, axiom,
% 0.19/0.43      ssSkC0 <=> $false).
% 0.19/0.43  tff(formula7, axiom,
% 0.19/0.43      skc48 = $i!val!13).
% 0.19/0.43  tff(formula8, axiom,
% 0.19/0.43      skc58 = $i!val!5).
% 0.19/0.43  tff(formula9, axiom,
% 0.19/0.43      skc52 = $i!val!11).
% 0.19/0.43  tff(formula10, axiom,
% 0.19/0.43      skc56 = $i!val!3).
% 0.19/0.43  tff(formula11, axiom,
% 0.19/0.43      skc28 = $i!val!1).
% 0.19/0.43  tff(formula12, axiom,
% 0.19/0.43      skc38 = $i!val!1).
% 0.19/0.43  tff(formula13, axiom,
% 0.19/0.43      skc57 = $i!val!4).
% 0.19/0.43  tff(formula14, axiom,
% 0.19/0.43      skc45 = $i!val!0).
% 0.19/0.43  tff(formula15, axiom,
% 0.19/0.43      skc49 = $i!val!14).
% 0.19/0.43  tff(formula16, axiom,
% 0.19/0.43      skc54 = $i!val!7).
% 0.19/0.43  tff(formula17, axiom,
% 0.19/0.43      skc46 = $i!val!8).
% 0.19/0.43  tff(formula18, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!2)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8))))).
% 0.19/0.43  tff(formula19, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> ((ite_t((X3 = $i!val!8), $i!val!8, ite_t((X3 = $i!val!1), $i!val!1, ite_t((X3 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10)))).
% 0.19/0.43  tff(formula20, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (proposition(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!2)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8))))).
% 0.19/0.43  tff(formula21, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!12)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!3))))).
% 0.19/0.43  tff(formula22, axiom,
% 0.19/0.43      ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> (((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!12) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!3) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!2))))).
% 0.19/0.43  tff(formula23, axiom,
% 0.19/0.43      ![X0: $i] : (skf11(X0) = $i!val!1)).
% 0.19/0.43  tff(formula24, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (state(X0, X1) <=> (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0))).
% 0.19/0.43  tff(formula25, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (smoke(X0, X1) <=> ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!9)))).
% 0.19/0.43  tff(formula26, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (event(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!12)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!9)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!3))))).
% 0.19/0.43  tff(formula27, axiom,
% 0.19/0.43      ![X0: $i, X1: $i] : (present(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!12)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!9)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!3))))).
% 0.19/0.44  tff(formula28, axiom,
% 0.19/0.44      ![X0: $i] : (skf7(X0) = $i!val!1)).
% 0.19/0.44  tff(formula29, axiom,
% 0.19/0.44      ![X0: $i] : (skf5(X0) = $i!val!1)).
% 0.19/0.44  tff(formula30, axiom,
% 0.19/0.44      ![X0: $i] : (actual_world(X0) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!1)))).
% 0.19/0.44  tff(formula31, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!13)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!4))))).
% 0.19/0.44  tff(formula32, axiom,
% 0.19/0.44      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!12) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!14)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!8) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!9) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!12), $i!val!12, $i!val!9)) = $i!val!3) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!5))))).
% 0.19/0.44  tff(formula33, axiom,
% 0.19/0.44      ![X0: $i] : (skf9(X0) = $i!val!1)).
% 0.19/0.44  tff(formula34, axiom,
% 0.19/0.44      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!4) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!5)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!7) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!11) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10)) | ((ite_t((X2 = $i!val!8), $i!val!8, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!13) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!14))))).
% 0.19/0.44  tff(formula35, axiom,
% 0.19/0.44      ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!7)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!11)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!13)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!4))))).
% 0.19/0.45  tff(formula36, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (man(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!5)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!14)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!10), $i!val!10, $i!val!5)) = $i!val!10))))).
% 0.19/0.45  tff(formula37, axiom,
% 0.19/0.45      ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!11)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2))) = $i!val!0) & (ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, $i!val!11))) = $i!val!7))))).
% 0.19/0.45  % SZS output end Model
%------------------------------------------------------------------------------