TSTP Solution File: PUZ018-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 14:10:53 EDT 2022
% Result : Satisfiable 0.20s 0.52s
% Output : Model 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n023.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 18:40:33 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.
% 0.20/0.52 % SZS status Satisfiable
% 0.20/0.52 % SZS output start Model
% 0.20/0.52 tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.52 tptp_fun__i_val_2: $i)).
% 0.20/0.52 tff(tuesday_type, type, (
% 0.20/0.52 tuesday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.52 tptp_fun__i_val_0: $i)).
% 0.20/0.52 tff(sunday_type, type, (
% 0.20/0.52 sunday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.52 tptp_fun__i_val_5: $i)).
% 0.20/0.52 tff(friday_type, type, (
% 0.20/0.52 friday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.52 tptp_fun__i_val_7: $i)).
% 0.20/0.52 tff(a_type, type, (
% 0.20/0.52 a: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.52 tptp_fun__i_val_8: $i)).
% 0.20/0.52 tff(b_type, type, (
% 0.20/0.52 b: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.52 tptp_fun__i_val_6: $i)).
% 0.20/0.52 tff(saturday_type, type, (
% 0.20/0.52 saturday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.52 tptp_fun__i_val_3: $i)).
% 0.20/0.52 tff(wednesday_type, type, (
% 0.20/0.52 wednesday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.52 tptp_fun__i_val_9: $i)).
% 0.20/0.52 tff(c_type, type, (
% 0.20/0.52 c: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.52 tptp_fun__i_val_1: $i)).
% 0.20/0.52 tff(monday_type, type, (
% 0.20/0.52 monday: $i)).
% 0.20/0.52 tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.52 tptp_fun__i_val_4: $i)).
% 0.20/0.52 tff(thursday_type, type, (
% 0.20/0.52 thursday: $i)).
% 0.20/0.52 tff(on_type, type, (
% 0.20/0.52 on: ( $i * $i ) > $o)).
% 0.20/0.52 tff(same_day_type, type, (
% 0.20/0.52 same_day: ( $i * $i ) > $o)).
% 0.20/0.52 tff(consecutive_type, type, (
% 0.20/0.52 consecutive: ( $i * $i ) > $o)).
% 0.20/0.52 tff(same_person_type, type, (
% 0.20/0.52 same_person: ( $i * $i ) > $o)).
% 0.20/0.52 tff(all_on_type, type, (
% 0.20/0.52 all_on: $i > $o)).
% 0.20/0.52 tff(formula1, axiom,
% 0.20/0.52 tuesday = $i!val!2).
% 0.20/0.52 tff(formula2, axiom,
% 0.20/0.52 sunday = $i!val!0).
% 0.20/0.52 tff(formula3, axiom,
% 0.20/0.52 friday = $i!val!5).
% 0.20/0.52 tff(formula4, axiom,
% 0.20/0.52 a = $i!val!7).
% 0.20/0.52 tff(formula5, axiom,
% 0.20/0.52 b = $i!val!8).
% 0.20/0.52 tff(formula6, axiom,
% 0.20/0.52 saturday = $i!val!6).
% 0.20/0.52 tff(formula7, axiom,
% 0.20/0.52 wednesday = $i!val!3).
% 0.20/0.52 tff(formula8, axiom,
% 0.20/0.52 c = $i!val!9).
% 0.20/0.52 tff(formula9, axiom,
% 0.20/0.52 monday = $i!val!1).
% 0.20/0.52 tff(formula10, axiom,
% 0.20/0.52 thursday = $i!val!4).
% 0.20/0.52 tff(formula11, axiom,
% 0.20/0.52 ![X0: $i, X1: $i] : (on(X0, X1) <=> (((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!6)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!4)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3))))).
% 0.20/0.52 tff(formula12, axiom,
% 0.20/0.52 ![X0: $i, X1: $i] : (same_day(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!0) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!6) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!6)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!4) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!4))))).
% 0.20/0.52 tff(formula13, axiom,
% 0.20/0.52 ![X0: $i, X1: $i] : (consecutive(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!0) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!6)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!2) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!6) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!3) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!4)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!4) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5))))).
% 0.20/0.53 tff(formula14, axiom,
% 0.20/0.53 ![X0: $i, X1: $i] : (same_person(X0, X1) <=> (((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!7)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!8)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!7), $i!val!7, $i!val!8)) = $i!val!9))))).
% 0.20/0.53 tff(formula15, axiom,
% 0.20/0.53 ![X0: $i] : (all_on(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)))))) = $i!val!5))).
% 0.20/0.53 % SZS output end Model
%------------------------------------------------------------------------------