TSTP Solution File: SYN306-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN306-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n007.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 : Thu Sep 29 23:54:37 EDT 2022

% Result   : Satisfiable 0.76s 0.72s
% Output   : Model 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN306-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Sep  5 02:10:20 EDT 2022
% 0.13/0.33  % 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.
% 0.76/0.72  % SZS status Satisfiable
% 0.76/0.72  % SZS output start Model
% 0.76/0.72  tff(tptp_fun__i_val_1_type, type, (
% 0.76/0.72     tptp_fun__i_val_1: $i)).
% 0.76/0.72  tff(b_type, type, (
% 0.76/0.72     b: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_0_type, type, (
% 0.76/0.72     tptp_fun__i_val_0: $i)).
% 0.76/0.72  tff(a_type, type, (
% 0.76/0.72     a: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_16_type, type, (
% 0.76/0.72     tptp_fun__i_val_16: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_3_type, type, (
% 0.76/0.72     tptp_fun__i_val_3: $i)).
% 0.76/0.72  tff(k!208_type, type, (
% 0.76/0.72     k!208: $i > $i)).
% 0.76/0.72  tff(tptp_fun__i_val_5_type, type, (
% 0.76/0.72     tptp_fun__i_val_5: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_4_type, type, (
% 0.76/0.72     tptp_fun__i_val_4: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_6_type, type, (
% 0.76/0.72     tptp_fun__i_val_6: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_2_type, type, (
% 0.76/0.72     tptp_fun__i_val_2: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_8_type, type, (
% 0.76/0.72     tptp_fun__i_val_8: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_7_type, type, (
% 0.76/0.72     tptp_fun__i_val_7: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_11_type, type, (
% 0.76/0.72     tptp_fun__i_val_11: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_10_type, type, (
% 0.76/0.72     tptp_fun__i_val_10: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_13_type, type, (
% 0.76/0.72     tptp_fun__i_val_13: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_12_type, type, (
% 0.76/0.72     tptp_fun__i_val_12: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_15_type, type, (
% 0.76/0.72     tptp_fun__i_val_15: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_14_type, type, (
% 0.76/0.72     tptp_fun__i_val_14: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_17_type, type, (
% 0.76/0.72     tptp_fun__i_val_17: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_19_type, type, (
% 0.76/0.72     tptp_fun__i_val_19: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_18_type, type, (
% 0.76/0.72     tptp_fun__i_val_18: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_21_type, type, (
% 0.76/0.72     tptp_fun__i_val_21: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_20_type, type, (
% 0.76/0.72     tptp_fun__i_val_20: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_23_type, type, (
% 0.76/0.72     tptp_fun__i_val_23: $i)).
% 0.76/0.72  tff(tptp_fun__i_val_22_type, type, (
% 0.76/0.72     tptp_fun__i_val_22: $i)).
% 0.76/0.72  tff(g_type, type, (
% 0.76/0.72     g: ( $i * $i ) > $i)).
% 0.76/0.72  tff(k!210_type, type, (
% 0.76/0.72     k!210: $i > $i)).
% 0.76/0.72  tff(tptp_fun__i_val_9_type, type, (
% 0.76/0.72     tptp_fun__i_val_9: $i)).
% 0.76/0.72  tff(r_type, type, (
% 0.76/0.72     r: ( $i * $i ) > $o)).
% 0.76/0.72  tff(f_type, type, (
% 0.76/0.72     f: $i > $i)).
% 0.76/0.72  tff(p_type, type, (
% 0.76/0.72     p: $i > $o)).
% 0.76/0.72  tff(q_type, type, (
% 0.76/0.72     q: $i > $o)).
% 0.76/0.72  tff(formula1, axiom,
% 0.76/0.72      b = $i!val!1).
% 0.76/0.72  tff(formula2, axiom,
% 0.76/0.72      a = $i!val!0).
% 0.76/0.72  tff(formula3, axiom,
% 0.76/0.72      ![X0: $i, X1: $i] : (g(X0, X1) = ite_t(((k!208(X1) = $i!val!22) & (k!208(X0) = $i!val!22)), $i!val!23, ite_t(((k!208(X1) = $i!val!20) & (k!208(X0) = $i!val!20)), $i!val!21, ite_t(((k!208(X1) = $i!val!18) & (k!208(X0) = $i!val!18)), $i!val!19, ite_t(((k!208(X1) = $i!val!16) & (k!208(X0) = $i!val!16)), $i!val!17, ite_t(((k!208(X1) = $i!val!14) & (k!208(X0) = $i!val!14)), $i!val!15, ite_t(((k!208(X1) = $i!val!12) & (k!208(X0) = $i!val!12)), $i!val!13, ite_t(((k!208(X1) = $i!val!10) & (k!208(X0) = $i!val!10)), $i!val!11, ite_t(((k!208(X1) = $i!val!7) & (k!208(X0) = $i!val!7)), $i!val!8, ite_t(((k!208(X1) = $i!val!2) & (k!208(X0) = $i!val!2)), $i!val!6, ite_t(((k!208(X1) = $i!val!4) & (k!208(X0) = $i!val!4)), $i!val!5, ite_t(((k!208(X1) = $i!val!0) & (k!208(X0) = $i!val!0)), $i!val!3, $i!val!16))))))))))))).
% 0.76/0.72  tff(formula4, axiom,
% 0.76/0.72      k!210($i!val!13) = $i!val!13).
% 0.76/0.72  tff(formula5, axiom,
% 0.76/0.72      k!210($i!val!0) = $i!val!0).
% 0.76/0.72  tff(formula6, axiom,
% 0.76/0.72      k!210($i!val!11) = $i!val!11).
% 0.76/0.72  tff(formula7, axiom,
% 0.76/0.72      k!210($i!val!17) = $i!val!17).
% 0.76/0.72  tff(formula8, axiom,
% 0.76/0.72      k!210($i!val!6) = $i!val!6).
% 0.76/0.72  tff(formula9, axiom,
% 0.76/0.72      k!210($i!val!15) = $i!val!15).
% 0.76/0.72  tff(formula10, axiom,
% 0.76/0.72      k!210($i!val!8) = $i!val!8).
% 0.76/0.72  tff(formula11, axiom,
% 0.76/0.72      k!210($i!val!21) = $i!val!21).
% 0.76/0.72  tff(formula12, axiom,
% 0.76/0.72      k!210($i!val!19) = $i!val!19).
% 0.76/0.72  tff(formula13, axiom,
% 0.76/0.72      k!210($i!val!5) = $i!val!5).
% 0.76/0.72  tff(formula14, axiom,
% 0.76/0.72      k!210($i!val!3) = $i!val!3).
% 0.76/0.72  tff(formula15, axiom,
% 0.76/0.72      ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!0 = X0)) | (($i!val!11 = X0)) | (($i!val!17 = X0)) | (($i!val!6 = X0)) | (($i!val!15 = X0)) | (($i!val!8 = X0)) | (($i!val!21 = X0)) | (($i!val!19 = X0)) | (($i!val!5 = X0)) | (($i!val!3 = X0)))) => (k!210(X0) = $i!val!23))).
% 0.76/0.72  tff(formula16, axiom,
% 0.76/0.72      ![X0: $i, X1: $i] : (r(X0, X1) <=> (((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!0) & (k!210(X0) = $i!val!21)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!23)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!12) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!9) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!18) & (k!210(X0) = $i!val!0)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!12) & (k!210(X0) = $i!val!19)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!11)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!16) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!11)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!0) & (k!210(X0) = $i!val!23)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!7) & (k!210(X0) = $i!val!0)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!19)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), 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$i!val!19)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!4) & (k!210(X0) = $i!val!19)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!18) & (k!210(X0) = $i!val!17)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, 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$i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!6)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!5)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!0) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, 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$i!val!18) & (k!210(X0) = $i!val!21)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!3)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!18) & (k!210(X0) = $i!val!3)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 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$i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!3)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!21)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, 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$i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!15)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!2) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!22) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 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ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!9) & (k!210(X0) = $i!val!15)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!12) & (k!210(X0) = $i!val!6)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!2) & (k!210(X0) = $i!val!21)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!0) & (k!210(X0) = $i!val!15)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!7) & (k!210(X0) = $i!val!13)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!20) & (k!210(X0) = $i!val!21)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!16) & (k!210(X0) = $i!val!0)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!0)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!9) & (k!210(X0) = $i!val!3)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), 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$i!val!2))))))))))) = $i!val!20) & (k!210(X0) = $i!val!5)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!7) & (k!210(X0) = $i!val!6)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!22) & (k!210(X0) = $i!val!23)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!10) & (k!210(X0) = $i!val!8)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!9) & (k!210(X0) = $i!val!11)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, 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$i!val!8)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!20) & (k!210(X0) = $i!val!3)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!9) & (k!210(X0) = $i!val!0)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, 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$i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!4) & (k!210(X0) = $i!val!17)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!7) & (k!210(X0) = $i!val!11)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!4) & (k!210(X0) = $i!val!23)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!12) & (k!210(X0) = $i!val!23)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!14) & (k!210(X0) = $i!val!17)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!18) & (k!210(X0) = $i!val!6)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!0) & (k!210(X0) = $i!val!19)) | ((ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!22), $i!val!22, ite_t((X1 = $i!val!18), $i!val!18, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!16), $i!val!16, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!20), $i!val!20, $i!val!2))))))))))) = $i!val!12) & (k!210(X0) = $i!val!17))))).
% 0.76/0.75  tff(formula17, axiom,
% 0.76/0.75      k!208($i!val!20) = $i!val!20).
% 0.76/0.75  tff(formula18, axiom,
% 0.76/0.75      k!208($i!val!1) = $i!val!1).
% 0.76/0.75  tff(formula19, axiom,
% 0.76/0.75      k!208($i!val!0) = $i!val!0).
% 0.76/0.75  tff(formula20, axiom,
% 0.76/0.75      k!208($i!val!22) = $i!val!22).
% 0.76/0.75  tff(formula21, axiom,
% 0.76/0.75      k!208($i!val!16) = $i!val!16).
% 0.76/0.75  tff(formula22, axiom,
% 0.76/0.75      k!208($i!val!7) = $i!val!7).
% 0.76/0.75  tff(formula23, axiom,
% 0.76/0.75      k!208($i!val!18) = $i!val!18).
% 0.76/0.75  tff(formula24, axiom,
% 0.76/0.75      k!208($i!val!12) = $i!val!12).
% 0.76/0.75  tff(formula25, axiom,
% 0.76/0.75      k!208($i!val!14) = $i!val!14).
% 0.76/0.75  tff(formula26, axiom,
% 0.76/0.75      k!208($i!val!4) = $i!val!4).
% 0.76/0.75  tff(formula27, axiom,
% 0.76/0.75      k!208($i!val!10) = $i!val!10).
% 0.76/0.75  tff(formula28, axiom,
% 0.76/0.75      ![X0: $i] : ((~((($i!val!20 = X0)) | (($i!val!1 = X0)) | (($i!val!0 = X0)) | (($i!val!22 = X0)) | (($i!val!16 = X0)) | (($i!val!7 = X0)) | (($i!val!18 = X0)) | (($i!val!12 = X0)) | (($i!val!14 = X0)) | (($i!val!4 = X0)) | (($i!val!10 = X0)))) => (k!208(X0) = $i!val!2))).
% 0.76/0.75  tff(formula29, axiom,
% 0.76/0.75      ![X0: $i] : (f(X0) = ite_t((k!208(X0) = $i!val!20), $i!val!22, ite_t((k!208(X0) = $i!val!18), $i!val!20, ite_t((k!208(X0) = $i!val!16), $i!val!18, ite_t((k!208(X0) = $i!val!12), $i!val!14, ite_t((k!208(X0) = $i!val!10), $i!val!12, ite_t((k!208(X0) = $i!val!4), $i!val!10, ite_t((k!208(X0) = $i!val!7), $i!val!9, ite_t((k!208(X0) = $i!val!2), $i!val!7, ite_t((k!208(X0) = $i!val!0), $i!val!4, ite_t((k!208(X0) = $i!val!1), $i!val!2, $i!val!16)))))))))))).
% 0.76/0.75  tff(formula30, axiom,
% 0.76/0.75      ![X0: $i] : (p(X0) <=> ((k!208(X0) = $i!val!2) | (k!208(X0) = $i!val!1) | (k!208(X0) = $i!val!7)))).
% 0.76/0.75  tff(formula31, axiom,
% 0.76/0.75      ![X0: $i] : (q(X0) <=> ((k!210(X0) = $i!val!11) | (k!210(X0) = $i!val!15) | (k!210(X0) = $i!val!19) | (k!210(X0) = $i!val!3) | (k!210(X0) = $i!val!5) | (k!210(X0) = $i!val!17) | (k!210(X0) = $i!val!13) | (k!210(X0) = $i!val!21) | (k!210(X0) = $i!val!23)))).
% 0.76/0.75  % SZS output end Model
%------------------------------------------------------------------------------