TSTP Solution File: NLP237-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NLP237-1 : 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 08:48:31 EDT 2022
% Result : Satisfiable 0.18s 0.42s
% Output : Model 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NLP237-1 : 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 06:13:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.18/0.42 % SZS status Satisfiable
% 0.18/0.42 % SZS output start Model
% 0.18/0.42 tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.42 tptp_fun__i_val_5: $i)).
% 0.18/0.42 tff(skc43_type, type, (
% 0.18/0.42 skc43: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_12_type, type, (
% 0.18/0.42 tptp_fun__i_val_12: $i)).
% 0.18/0.42 tff(skc35_type, type, (
% 0.18/0.42 skc35: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_10_type, type, (
% 0.18/0.42 tptp_fun__i_val_10: $i)).
% 0.18/0.42 tff(skc34_type, type, (
% 0.18/0.42 skc34: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.42 tptp_fun__i_val_6: $i)).
% 0.18/0.42 tff(skc37_type, type, (
% 0.18/0.42 skc37: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_8_type, type, (
% 0.18/0.42 tptp_fun__i_val_8: $i)).
% 0.18/0.42 tff(skc39_type, type, (
% 0.18/0.42 skc39: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.42 tptp_fun__i_val_3: $i)).
% 0.18/0.42 tff(skc41_type, type, (
% 0.18/0.42 skc41: $i)).
% 0.18/0.42 tff(ssSkC0_type, type, (
% 0.18/0.42 ssSkC0: $o)).
% 0.18/0.42 tff(tptp_fun__i_val_15_type, type, (
% 0.18/0.42 tptp_fun__i_val_15: $i)).
% 0.18/0.42 tff(skc31_type, type, (
% 0.18/0.42 skc31: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.42 tptp_fun__i_val_4: $i)).
% 0.18/0.42 tff(skc42_type, type, (
% 0.18/0.42 skc42: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_14_type, type, (
% 0.18/0.42 tptp_fun__i_val_14: $i)).
% 0.18/0.42 tff(skc33_type, type, (
% 0.18/0.42 skc33: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.42 tptp_fun__i_val_2: $i)).
% 0.18/0.42 tff(skc40_type, type, (
% 0.18/0.42 skc40: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_7_type, type, (
% 0.18/0.42 tptp_fun__i_val_7: $i)).
% 0.18/0.42 tff(skc38_type, type, (
% 0.18/0.42 skc38: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_13_type, type, (
% 0.18/0.42 tptp_fun__i_val_13: $i)).
% 0.18/0.42 tff(skc32_type, type, (
% 0.18/0.42 skc32: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.42 tptp_fun__i_val_1: $i)).
% 0.18/0.42 tff(skc57_type, type, (
% 0.18/0.42 skc57: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_9_type, type, (
% 0.18/0.42 tptp_fun__i_val_9: $i)).
% 0.18/0.42 tff(skc30_type, type, (
% 0.18/0.42 skc30: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_11_type, type, (
% 0.18/0.42 tptp_fun__i_val_11: $i)).
% 0.18/0.42 tff(skc36_type, type, (
% 0.18/0.42 skc36: $i)).
% 0.18/0.42 tff(skc29_type, type, (
% 0.18/0.42 skc29: $i)).
% 0.18/0.42 tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.42 tptp_fun__i_val_0: $i)).
% 0.18/0.42 tff(skc47_type, type, (
% 0.18/0.42 skc47: $i)).
% 0.18/0.42 tff(accessible_world_type, type, (
% 0.18/0.42 accessible_world: ( $i * $i ) > $o)).
% 0.18/0.42 tff(be_type, type, (
% 0.18/0.42 be: ( $i * $i * $i * $i ) > $o)).
% 0.18/0.42 tff(proposition_type, type, (
% 0.18/0.42 proposition: ( $i * $i ) > $o)).
% 0.18/0.42 tff(think_believe_consider_type, type, (
% 0.18/0.42 think_believe_consider: ( $i * $i ) > $o)).
% 0.18/0.42 tff(theme_type, type, (
% 0.18/0.42 theme: ( $i * $i * $i ) > $o)).
% 0.18/0.42 tff(skf11_type, type, (
% 0.18/0.42 skf11: $i > $i)).
% 0.18/0.42 tff(state_type, type, (
% 0.18/0.42 state: ( $i * $i ) > $o)).
% 0.18/0.42 tff(smoke_type, type, (
% 0.18/0.42 smoke: ( $i * $i ) > $o)).
% 0.18/0.42 tff(event_type, type, (
% 0.18/0.42 event: ( $i * $i ) > $o)).
% 0.18/0.42 tff(present_type, type, (
% 0.18/0.42 present: ( $i * $i ) > $o)).
% 0.18/0.42 tff(skf7_type, type, (
% 0.18/0.42 skf7: $i > $i)).
% 0.18/0.42 tff(skf5_type, type, (
% 0.18/0.42 skf5: $i > $i)).
% 0.18/0.42 tff(actual_world_type, type, (
% 0.18/0.42 actual_world: $i > $o)).
% 0.18/0.42 tff(vincent_forename_type, type, (
% 0.18/0.42 vincent_forename: ( $i * $i ) > $o)).
% 0.18/0.42 tff(agent_type, type, (
% 0.18/0.42 agent: ( $i * $i * $i ) > $o)).
% 0.18/0.42 tff(skf9_type, type, (
% 0.18/0.42 skf9: $i > $i)).
% 0.18/0.42 tff(of_type, type, (
% 0.18/0.42 of: ( $i * $i * $i ) > $o)).
% 0.18/0.42 tff(forename_type, type, (
% 0.18/0.42 forename: ( $i * $i ) > $o)).
% 0.18/0.42 tff(man_type, type, (
% 0.18/0.42 man: ( $i * $i ) > $o)).
% 0.18/0.42 tff(jules_forename_type, type, (
% 0.18/0.42 jules_forename: ( $i * $i ) > $o)).
% 0.18/0.42 tff(formula1, axiom,
% 0.18/0.42 skc43 = $i!val!5).
% 0.18/0.42 tff(formula2, axiom,
% 0.18/0.42 skc35 = $i!val!12).
% 0.18/0.42 tff(formula3, axiom,
% 0.18/0.42 skc34 = $i!val!10).
% 0.18/0.42 tff(formula4, axiom,
% 0.18/0.42 skc37 = $i!val!6).
% 0.18/0.42 tff(formula5, axiom,
% 0.18/0.42 skc39 = $i!val!8).
% 0.18/0.42 tff(formula6, axiom,
% 0.18/0.42 skc41 = $i!val!3).
% 0.18/0.42 tff(formula7, axiom,
% 0.18/0.42 ssSkC0 <=> $true).
% 0.18/0.42 tff(formula8, axiom,
% 0.18/0.42 skc31 = $i!val!15).
% 0.18/0.42 tff(formula9, axiom,
% 0.18/0.42 skc42 = $i!val!4).
% 0.18/0.42 tff(formula10, axiom,
% 0.18/0.42 skc33 = $i!val!14).
% 0.18/0.42 tff(formula11, axiom,
% 0.18/0.42 skc40 = $i!val!2).
% 0.18/0.42 tff(formula12, axiom,
% 0.18/0.42 skc38 = $i!val!7).
% 0.18/0.42 tff(formula13, axiom,
% 0.18/0.42 skc32 = $i!val!13).
% 0.18/0.42 tff(formula14, axiom,
% 0.18/0.42 skc57 = $i!val!1).
% 0.18/0.42 tff(formula15, axiom,
% 0.18/0.42 skc30 = $i!val!9).
% 0.18/0.42 tff(formula16, axiom,
% 0.18/0.42 skc36 = $i!val!11).
% 0.18/0.42 tff(formula17, axiom,
% 0.18/0.42 skc29 = $i!val!1).
% 0.18/0.42 tff(formula18, axiom,
% 0.18/0.42 skc47 = $i!val!0).
% 0.18/0.42 tff(formula19, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!2)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9))))).
% 0.18/0.42 tff(formula20, axiom,
% 0.18/0.42 ![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!1), $i!val!1, ite_t((X3 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!7) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!7)))).
% 0.18/0.42 tff(formula21, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (proposition(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!2)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9))))).
% 0.18/0.42 tff(formula22, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!15)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!3))))).
% 0.18/0.42 tff(formula23, axiom,
% 0.18/0.42 ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> (((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!15) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!3) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!2))))).
% 0.18/0.42 tff(formula24, axiom,
% 0.18/0.42 ![X0: $i] : (skf11(X0) = $i!val!1)).
% 0.18/0.42 tff(formula25, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (state(X0, X1) <=> (ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1))).
% 0.18/0.42 tff(formula26, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (smoke(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!11)))).
% 0.18/0.42 tff(formula27, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (event(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!15)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!11)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!3))))).
% 0.18/0.42 tff(formula28, axiom,
% 0.18/0.42 ![X0: $i, X1: $i] : (present(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!15)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!11)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!3))))).
% 0.18/0.43 tff(formula29, axiom,
% 0.18/0.43 ![X0: $i] : (skf7(X0) = $i!val!1)).
% 0.18/0.43 tff(formula30, axiom,
% 0.18/0.43 ![X0: $i] : (skf5(X0) = $i!val!1)).
% 0.18/0.43 tff(formula31, axiom,
% 0.18/0.43 ![X0: $i] : (actual_world(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!0) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1)))).
% 0.18/0.43 tff(formula32, axiom,
% 0.18/0.43 ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!13)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!4))))).
% 0.18/0.43 tff(formula33, axiom,
% 0.18/0.43 ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!3) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!5)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!15) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!14)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!9) & (ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!11), $i!val!11, $i!val!15)) = $i!val!11) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!12))))).
% 0.18/0.43 tff(formula34, axiom,
% 0.18/0.43 ![X0: $i] : (skf9(X0) = $i!val!1)).
% 0.18/0.43 tff(formula35, axiom,
% 0.18/0.43 ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!13) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!14)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!10) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!12)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!5)) | ((ite_t((X2 = $i!val!2), $i!val!2, ite_t((X2 = $i!val!1), $i!val!1, ite_t((X2 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!8) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!7))))).
% 0.18/0.44 tff(formula36, axiom,
% 0.18/0.44 ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!10)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!13)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!4)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!8))))).
% 0.18/0.44 tff(formula37, axiom,
% 0.18/0.44 ![X0: $i, X1: $i] : (man(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!5)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!7)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!12)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!12), $i!val!12, $i!val!7))) = $i!val!14))))).
% 0.18/0.44 tff(formula38, axiom,
% 0.18/0.44 ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!10)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9))) = $i!val!1) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!4))) = $i!val!8))))).
% 0.18/0.44 % SZS output end Model
%------------------------------------------------------------------------------