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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CAT001-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n011.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 : Sat Jun 21 05:00:17 AM UTC 2025

% Result   : Satisfiable 10.86s 11.08s
% Output   : Model 10.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT001-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n011.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   : Thu Jun 19 11:49:41 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 10.86/11.08  % SZS status Satisfiable
% 10.86/11.08  % SZS output start Model
% 10.86/11.08  tff(tptp_fun__i_val_3_type, type, (
% 10.86/11.08     tptp_fun__i_val_3: $i)).
% 10.86/11.08  tff(h_type, type, (
% 10.86/11.08     h: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_1_type, type, (
% 10.86/11.08     tptp_fun__i_val_1: $i)).
% 10.86/11.08  tff(b_type, type, (
% 10.86/11.08     b: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_0_type, type, (
% 10.86/11.08     tptp_fun__i_val_0: $i)).
% 10.86/11.08  tff(a_type, type, (
% 10.86/11.08     a: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_4_type, type, (
% 10.86/11.08     tptp_fun__i_val_4: $i)).
% 10.86/11.08  tff(g_type, type, (
% 10.86/11.08     g: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_7_type, type, (
% 10.86/11.08     tptp_fun__i_val_7: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_2_type, type, (
% 10.86/11.08     tptp_fun__i_val_2: $i)).
% 10.86/11.08  tff(k!160_type, type, (
% 10.86/11.08     k!160: $i > $i)).
% 10.86/11.08  tff(tptp_fun__i_val_14_type, type, (
% 10.86/11.08     tptp_fun__i_val_14: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_6_type, type, (
% 10.86/11.08     tptp_fun__i_val_6: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_20_type, type, (
% 10.86/11.08     tptp_fun__i_val_20: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_9_type, type, (
% 10.86/11.08     tptp_fun__i_val_9: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_21_type, type, (
% 10.86/11.08     tptp_fun__i_val_21: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_15_type, type, (
% 10.86/11.08     tptp_fun__i_val_15: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_25_type, type, (
% 10.86/11.08     tptp_fun__i_val_25: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_10_type, type, (
% 10.86/11.08     tptp_fun__i_val_10: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_29_type, type, (
% 10.86/11.08     tptp_fun__i_val_29: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_26_type, type, (
% 10.86/11.08     tptp_fun__i_val_26: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_40_type, type, (
% 10.86/11.08     tptp_fun__i_val_40: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_32_type, type, (
% 10.86/11.08     tptp_fun__i_val_32: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_8_type, type, (
% 10.86/11.08     tptp_fun__i_val_8: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_33_type, type, (
% 10.86/11.08     tptp_fun__i_val_33: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_48_type, type, (
% 10.86/11.08     tptp_fun__i_val_48: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_30_type, type, (
% 10.86/11.08     tptp_fun__i_val_30: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_18_type, type, (
% 10.86/11.08     tptp_fun__i_val_18: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_28_type, type, (
% 10.86/11.08     tptp_fun__i_val_28: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_19_type, type, (
% 10.86/11.08     tptp_fun__i_val_19: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_27_type, type, (
% 10.86/11.08     tptp_fun__i_val_27: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_53_type, type, (
% 10.86/11.08     tptp_fun__i_val_53: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_11_type, type, (
% 10.86/11.08     tptp_fun__i_val_11: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_31_type, type, (
% 10.86/11.08     tptp_fun__i_val_31: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_24_type, type, (
% 10.86/11.08     tptp_fun__i_val_24: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_37_type, type, (
% 10.86/11.08     tptp_fun__i_val_37: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_60_type, type, (
% 10.86/11.08     tptp_fun__i_val_60: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_36_type, type, (
% 10.86/11.08     tptp_fun__i_val_36: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_42_type, type, (
% 10.86/11.08     tptp_fun__i_val_42: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_64_type, type, (
% 10.86/11.08     tptp_fun__i_val_64: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_41_type, type, (
% 10.86/11.08     tptp_fun__i_val_41: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_35_type, type, (
% 10.86/11.08     tptp_fun__i_val_35: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_67_type, type, (
% 10.86/11.08     tptp_fun__i_val_67: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_34_type, type, (
% 10.86/11.08     tptp_fun__i_val_34: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_39_type, type, (
% 10.86/11.08     tptp_fun__i_val_39: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_71_type, type, (
% 10.86/11.08     tptp_fun__i_val_71: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_38_type, type, (
% 10.86/11.08     tptp_fun__i_val_38: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_23_type, type, (
% 10.86/11.08     tptp_fun__i_val_23: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_75_type, type, (
% 10.86/11.08     tptp_fun__i_val_75: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_22_type, type, (
% 10.86/11.08     tptp_fun__i_val_22: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_79_type, type, (
% 10.86/11.08     tptp_fun__i_val_79: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_43_type, type, (
% 10.86/11.08     tptp_fun__i_val_43: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_44_type, type, (
% 10.86/11.08     tptp_fun__i_val_44: $i)).
% 10.86/11.08  tff(codomain_type, type, (
% 10.86/11.08     codomain: $i > $i)).
% 10.86/11.08  tff(tptp_fun__i_val_5_type, type, (
% 10.86/11.08     tptp_fun__i_val_5: $i)).
% 10.86/11.08  tff(compose_type, type, (
% 10.86/11.08     compose: ( $i * $i ) > $i)).
% 10.86/11.08  tff(tptp_fun__i_val_12_type, type, (
% 10.86/11.08     tptp_fun__i_val_12: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_13_type, type, (
% 10.86/11.08     tptp_fun__i_val_13: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_16_type, type, (
% 10.86/11.08     tptp_fun__i_val_16: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_17_type, type, (
% 10.86/11.08     tptp_fun__i_val_17: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_45_type, type, (
% 10.86/11.08     tptp_fun__i_val_45: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_46_type, type, (
% 10.86/11.08     tptp_fun__i_val_46: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_47_type, type, (
% 10.86/11.08     tptp_fun__i_val_47: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_49_type, type, (
% 10.86/11.08     tptp_fun__i_val_49: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_50_type, type, (
% 10.86/11.08     tptp_fun__i_val_50: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_51_type, type, (
% 10.86/11.08     tptp_fun__i_val_51: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_52_type, type, (
% 10.86/11.08     tptp_fun__i_val_52: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_54_type, type, (
% 10.86/11.08     tptp_fun__i_val_54: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_55_type, type, (
% 10.86/11.08     tptp_fun__i_val_55: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_56_type, type, (
% 10.86/11.08     tptp_fun__i_val_56: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_57_type, type, (
% 10.86/11.08     tptp_fun__i_val_57: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_58_type, type, (
% 10.86/11.08     tptp_fun__i_val_58: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_59_type, type, (
% 10.86/11.08     tptp_fun__i_val_59: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_61_type, type, (
% 10.86/11.08     tptp_fun__i_val_61: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_62_type, type, (
% 10.86/11.08     tptp_fun__i_val_62: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_63_type, type, (
% 10.86/11.08     tptp_fun__i_val_63: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_65_type, type, (
% 10.86/11.08     tptp_fun__i_val_65: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_66_type, type, (
% 10.86/11.08     tptp_fun__i_val_66: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_68_type, type, (
% 10.86/11.08     tptp_fun__i_val_68: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_69_type, type, (
% 10.86/11.08     tptp_fun__i_val_69: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_70_type, type, (
% 10.86/11.08     tptp_fun__i_val_70: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_72_type, type, (
% 10.86/11.08     tptp_fun__i_val_72: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_73_type, type, (
% 10.86/11.08     tptp_fun__i_val_73: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_74_type, type, (
% 10.86/11.08     tptp_fun__i_val_74: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_76_type, type, (
% 10.86/11.08     tptp_fun__i_val_76: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_77_type, type, (
% 10.86/11.08     tptp_fun__i_val_77: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_78_type, type, (
% 10.86/11.08     tptp_fun__i_val_78: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_80_type, type, (
% 10.86/11.08     tptp_fun__i_val_80: $i)).
% 10.86/11.08  tff(tptp_fun__i_val_81_type, type, (
% 10.86/11.08     tptp_fun__i_val_81: $i)).
% 10.86/11.08  tff(domain_type, type, (
% 10.86/11.08     domain: $i > $i)).
% 10.86/11.08  tff(formula1, axiom,
% 10.86/11.08      h = $i!val!3).
% 10.86/11.08  tff(formula2, axiom,
% 10.86/11.08      b = $i!val!1).
% 10.86/11.08  tff(formula3, axiom,
% 10.86/11.08      a = $i!val!0).
% 10.86/11.08  tff(formula4, axiom,
% 10.86/11.08      g = $i!val!4).
% 10.86/11.08  tff(formula5, axiom,
% 10.86/11.08      ![X0: $i] : (codomain(X0) = ite_t((k!160(X0) = $i!val!79), $i!val!79, ite_t((k!160(X0) = $i!val!44), $i!val!44, ite_t((k!160(X0) = $i!val!43), $i!val!79, ite_t(((k!160(X0) = $i!val!75) | (k!160(X0) = $i!val!22)), $i!val!75, ite_t((k!160(X0) = $i!val!23), $i!val!23, ite_t(((k!160(X0) = $i!val!71) | (k!160(X0) = $i!val!38)), $i!val!71, ite_t((k!160(X0) = $i!val!39), $i!val!39, ite_t(((k!160(X0) = $i!val!34) | (k!160(X0) = $i!val!67)), $i!val!67, ite_t((k!160(X0) = $i!val!35), $i!val!35, ite_t(((k!160(X0) = $i!val!64) | (k!160(X0) = $i!val!41)), $i!val!64, ite_t((k!160(X0) = $i!val!42), $i!val!42, ite_t(((k!160(X0) = $i!val!36) | (k!160(X0) = $i!val!60)), $i!val!60, ite_t((k!160(X0) = $i!val!37), $i!val!37, ite_t((k!160(X0) = $i!val!25), $i!val!25, ite_t((k!160(X0) = $i!val!24), $i!val!24, ite_t((k!160(X0) = $i!val!48), $i!val!48, ite_t((k!160(X0) = $i!val!31), $i!val!31, ite_t(((k!160(X0) = $i!val!53) | (k!160(X0) = $i!val!11)), $i!val!53, ite_t((k!160(X0) = $i!val!27), $i!val!27, ite_t((k!160(X0) = $i!val!40), $i!val!40, ite_t((k!160(X0) = $i!val!19), $i!val!19, ite_t((k!160(X0) = $i!val!28), $i!val!28, ite_t((k!160(X0) = $i!val!18), $i!val!18, ite_t((k!160(X0) = $i!val!21), $i!val!21, ite_t((k!160(X0) = $i!val!20), $i!val!20, ite_t((k!160(X0) = $i!val!30), $i!val!48, ite_t((k!160(X0) = $i!val!29), $i!val!29, ite_t((k!160(X0) = $i!val!33), $i!val!33, ite_t((k!160(X0) = $i!val!8), $i!val!14, ite_t((k!160(X0) = $i!val!32), $i!val!40, ite_t((k!160(X0) = $i!val!26), $i!val!29, ite_t((k!160(X0) = $i!val!10), $i!val!25, ite_t((k!160(X0) = $i!val!15), $i!val!21, ite_t((k!160(X0) = $i!val!9), $i!val!20, ite_t((k!160(X0) = $i!val!14), $i!val!14, ite_t((k!160(X0) = $i!val!6), $i!val!6, ite_t((k!160(X0) = $i!val!1), $i!val!14, ite_t(((k!160(X0) = $i!val!0) | (k!160(X0) = $i!val!2)), $i!val!2, $i!val!7)))))))))))))))))))))))))))))))))))))))).
% 10.86/11.08  tff(formula6, axiom,
% 10.86/11.08      k!160($i!val!35) = $i!val!35).
% 10.86/11.08  tff(formula7, axiom,
% 10.86/11.08      k!160($i!val!64) = $i!val!64).
% 10.86/11.08  tff(formula8, axiom,
% 10.86/11.08      k!160($i!val!10) = $i!val!10).
% 10.86/11.08  tff(formula9, axiom,
% 10.86/11.08      k!160($i!val!2) = $i!val!2).
% 10.86/11.08  tff(formula10, axiom,
% 10.86/11.08      k!160($i!val!3) = $i!val!3).
% 10.86/11.08  tff(formula11, axiom,
% 10.86/11.08      k!160($i!val!19) = $i!val!19).
% 10.86/11.08  tff(formula12, axiom,
% 10.86/11.08      k!160($i!val!7) = $i!val!7).
% 10.86/11.08  tff(formula13, axiom,
% 10.86/11.08      k!160($i!val!21) = $i!val!21).
% 10.86/11.08  tff(formula14, axiom,
% 10.86/11.08      k!160($i!val!8) = $i!val!8).
% 10.86/11.08  tff(formula15, axiom,
% 10.86/11.08      k!160($i!val!4) = $i!val!4).
% 10.86/11.08  tff(formula16, axiom,
% 10.86/11.08      k!160($i!val!53) = $i!val!53).
% 10.86/11.08  tff(formula17, axiom,
% 10.86/11.08      k!160($i!val!22) = $i!val!22).
% 10.86/11.08  tff(formula18, axiom,
% 10.86/11.08      k!160($i!val!15) = $i!val!15).
% 10.86/11.08  tff(formula19, axiom,
% 10.86/11.08      k!160($i!val!37) = $i!val!37).
% 10.86/11.08  tff(formula20, axiom,
% 10.86/11.08      k!160($i!val!5) = $i!val!5).
% 10.86/11.08  tff(formula21, axiom,
% 10.86/11.08      k!160($i!val!18) = $i!val!18).
% 10.86/11.08  tff(formula22, axiom,
% 10.86/11.08      k!160($i!val!24) = $i!val!24).
% 10.86/11.08  tff(formula23, axiom,
% 10.86/11.08      k!160($i!val!71) = $i!val!71).
% 10.86/11.08  tff(formula24, axiom,
% 10.86/11.08      k!160($i!val!31) = $i!val!31).
% 10.86/11.08  tff(formula25, axiom,
% 10.86/11.08      k!160($i!val!28) = $i!val!28).
% 10.86/11.08  tff(formula26, axiom,
% 10.86/11.08      k!160($i!val!26) = $i!val!26).
% 10.86/11.08  tff(formula27, axiom,
% 10.86/11.08      k!160($i!val!30) = $i!val!30).
% 10.86/11.08  tff(formula28, axiom,
% 10.86/11.08      k!160($i!val!27) = $i!val!27).
% 10.86/11.08  tff(formula29, axiom,
% 10.86/11.08      k!160($i!val!0) = $i!val!0).
% 10.86/11.08  tff(formula30, axiom,
% 10.86/11.08      k!160($i!val!32) = $i!val!32).
% 10.86/11.08  tff(formula31, axiom,
% 10.86/11.08      k!160($i!val!34) = $i!val!34).
% 10.86/11.08  tff(formula32, axiom,
% 10.86/11.08      k!160($i!val!40) = $i!val!40).
% 10.86/11.08  tff(formula33, axiom,
% 10.86/11.08      k!160($i!val!75) = $i!val!75).
% 10.86/11.08  tff(formula34, axiom,
% 10.86/11.08      k!160($i!val!39) = $i!val!39).
% 10.86/11.08  tff(formula35, axiom,
% 10.86/11.08      k!160($i!val!29) = $i!val!29).
% 10.86/11.08  tff(formula36, axiom,
% 10.86/11.08      k!160($i!val!48) = $i!val!48).
% 10.86/11.08  tff(formula37, axiom,
% 10.86/11.08      k!160($i!val!42) = $i!val!42).
% 10.86/11.08  tff(formula38, axiom,
% 10.86/11.08      k!160($i!val!25) = $i!val!25).
% 10.86/11.08  tff(formula39, axiom,
% 10.86/11.08      k!160($i!val!38) = $i!val!38).
% 10.86/11.08  tff(formula40, axiom,
% 10.86/11.08      k!160($i!val!60) = $i!val!60).
% 10.86/11.08  tff(formula41, axiom,
% 10.86/11.08      k!160($i!val!79) = $i!val!79).
% 10.86/11.08  tff(formula42, axiom,
% 10.86/11.08      k!160($i!val!1) = $i!val!1).
% 10.86/11.08  tff(formula43, axiom,
% 10.86/11.08      k!160($i!val!14) = $i!val!14).
% 10.86/11.08  tff(formula44, axiom,
% 10.86/11.08      k!160($i!val!36) = $i!val!36).
% 10.86/11.08  tff(formula45, axiom,
% 10.86/11.08      k!160($i!val!20) = $i!val!20).
% 10.86/11.08  tff(formula46, axiom,
% 10.86/11.08      k!160($i!val!67) = $i!val!67).
% 10.86/11.08  tff(formula47, axiom,
% 10.86/11.08      k!160($i!val!44) = $i!val!44).
% 10.86/11.08  tff(formula48, axiom,
% 10.86/11.08      k!160($i!val!6) = $i!val!6).
% 10.86/11.08  tff(formula49, axiom,
% 10.86/11.08      k!160($i!val!43) = $i!val!43).
% 10.86/11.08  tff(formula50, axiom,
% 10.86/11.08      k!160($i!val!23) = $i!val!23).
% 10.86/11.08  tff(formula51, axiom,
% 10.86/11.08      k!160($i!val!33) = $i!val!33).
% 10.86/11.08  tff(formula52, axiom,
% 10.86/11.08      k!160($i!val!9) = $i!val!9).
% 10.86/11.08  tff(formula53, axiom,
% 10.86/11.08      k!160($i!val!11) = $i!val!11).
% 10.86/11.08  tff(formula54, axiom,
% 10.86/11.08      ![X0: $i] : ((~((($i!val!35 = X0)) | (($i!val!64 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!3 = X0)) | (($i!val!19 = X0)) | (($i!val!7 = X0)) | (($i!val!21 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!53 = X0)) | (($i!val!22 = X0)) | (($i!val!15 = X0)) | (($i!val!37 = X0)) | (($i!val!5 = X0)) | (($i!val!18 = X0)) | (($i!val!24 = X0)) | (($i!val!71 = X0)) | (($i!val!31 = X0)) | (($i!val!28 = X0)) | (($i!val!26 = X0)) | (($i!val!30 = X0)) | (($i!val!27 = X0)) | (($i!val!0 = X0)) | (($i!val!32 = X0)) | (($i!val!34 = X0)) | (($i!val!40 = X0)) | (($i!val!75 = X0)) | (($i!val!39 = X0)) | (($i!val!29 = X0)) | (($i!val!48 = X0)) | (($i!val!42 = X0)) | (($i!val!25 = X0)) | (($i!val!38 = X0)) | (($i!val!60 = X0)) | (($i!val!79 = X0)) | (($i!val!1 = X0)) | (($i!val!14 = X0)) | (($i!val!36 = X0)) | (($i!val!20 = X0)) | (($i!val!67 = X0)) | (($i!val!44 = X0)) | (($i!val!6 = X0)) | (($i!val!43 = X0)) | (($i!val!23 = X0)) | (($i!val!33 = X0)) | (($i!val!9 = X0)) | (($i!val!11 = X0)))) => (k!160(X0) = $i!val!41))).
% 10.86/11.09  tff(formula55, axiom,
% 10.86/11.09      compose($i!val!0, $i!val!3) = $i!val!5).
% 10.86/11.09  tff(formula56, axiom,
% 10.86/11.09      compose($i!val!0, $i!val!4) = $i!val!5).
% 10.86/11.09  tff(formula57, axiom,
% 10.86/11.09      compose($i!val!2, $i!val!1) = $i!val!1).
% 10.86/11.09  tff(formula58, axiom,
% 10.86/11.09      compose($i!val!2, $i!val!3) = $i!val!3).
% 10.86/11.09  tff(formula59, axiom,
% 10.86/11.09      compose($i!val!2, $i!val!4) = $i!val!4).
% 10.86/11.09  tff(formula60, axiom,
% 10.86/11.09      compose($i!val!0, $i!val!2) = $i!val!0).
% 10.86/11.09  tff(formula61, axiom,
% 10.86/11.09      compose($i!val!0, $i!val!1) = $i!val!8).
% 10.86/11.09  tff(formula62, axiom,
% 10.86/11.09      compose($i!val!0, $i!val!8) = $i!val!9).
% 10.86/11.09  tff(formula63, axiom,
% 10.86/11.09      compose($i!val!2, $i!val!8) = $i!val!10).
% 10.86/11.09  tff(formula64, axiom,
% 10.86/11.09      compose($i!val!5, $i!val!8) = $i!val!11).
% 10.86/11.09  tff(formula65, axiom,
% 10.86/11.09      compose($i!val!3, $i!val!8) = $i!val!12).
% 10.86/11.09  tff(formula66, axiom,
% 10.86/11.09      compose($i!val!4, $i!val!8) = $i!val!13).
% 10.86/11.09  tff(formula67, axiom,
% 10.86/11.09      compose($i!val!2, $i!val!2) = $i!val!2).
% 10.86/11.09  tff(formula68, axiom,
% 10.86/11.09      compose($i!val!3, $i!val!7) = $i!val!3).
% 10.86/11.09  tff(formula69, axiom,
% 10.86/11.09      compose($i!val!5, $i!val!7) = $i!val!5).
% 10.86/11.09  tff(formula70, axiom,
% 10.86/11.09      compose($i!val!4, $i!val!7) = $i!val!4).
% 10.86/11.09  tff(formula71, axiom,
% 10.86/11.09      compose($i!val!6, $i!val!0) = $i!val!0).
% 10.86/11.09  tff(formula72, axiom,
% 10.86/11.09      compose($i!val!6, $i!val!5) = $i!val!5).
% 10.86/11.09  tff(formula73, axiom,
% 10.86/11.09      compose($i!val!7, $i!val!7) = $i!val!7).
% 10.86/11.09  tff(formula74, axiom,
% 10.86/11.09      compose($i!val!6, $i!val!6) = $i!val!6).
% 10.86/11.09  tff(formula75, axiom,
% 10.86/11.09      compose($i!val!1, $i!val!8) = $i!val!15).
% 10.86/11.09  tff(formula76, axiom,
% 10.86/11.09      compose($i!val!6, $i!val!8) = $i!val!8).
% 10.86/11.09  tff(formula77, axiom,
% 10.86/11.09      compose($i!val!1, $i!val!14) = $i!val!1).
% 10.86/11.09  tff(formula78, axiom,
% 10.86/11.09      compose($i!val!7, $i!val!8) = $i!val!16).
% 10.86/11.09  tff(formula79, axiom,
% 10.86/11.09      compose($i!val!14, $i!val!14) = $i!val!14).
% 10.86/11.09  tff(formula80, axiom,
% 10.86/11.09      compose($i!val!14, $i!val!8) = $i!val!17).
% 10.86/11.09  tff(formula81, axiom,
% 10.86/11.09      compose($i!val!21, $i!val!8) = $i!val!22).
% 10.86/11.09  tff(formula82, axiom,
% 10.86/11.09      compose($i!val!20, $i!val!8) = $i!val!26).
% 10.86/11.09  tff(formula83, axiom,
% 10.86/11.09      compose($i!val!29, $i!val!8) = $i!val!30).
% 10.86/11.09  tff(formula84, axiom,
% 10.86/11.09      compose($i!val!30, $i!val!8) = $i!val!32).
% 10.86/11.09  tff(formula85, axiom,
% 10.86/11.09      compose($i!val!10, $i!val!8) = $i!val!34).
% 10.86/11.09  tff(formula86, axiom,
% 10.86/11.09      compose($i!val!18, $i!val!8) = $i!val!36).
% 10.86/11.09  tff(formula87, axiom,
% 10.86/11.09      compose($i!val!27, $i!val!8) = $i!val!38).
% 10.86/11.09  tff(formula88, axiom,
% 10.86/11.09      compose($i!val!40, $i!val!8) = $i!val!41).
% 10.86/11.09  tff(formula89, axiom,
% 10.86/11.09      compose($i!val!42, $i!val!8) = $i!val!43).
% 10.86/11.09  tff(formula90, axiom,
% 10.86/11.09      compose($i!val!8, $i!val!14) = $i!val!8).
% 10.86/11.09  tff(formula91, axiom,
% 10.86/11.09      compose($i!val!33, $i!val!32) = $i!val!32).
% 10.86/11.09  tff(formula92, axiom,
% 10.86/11.09      compose($i!val!15, $i!val!8) = $i!val!45).
% 10.86/11.09  tff(formula93, axiom,
% 10.86/11.09      compose($i!val!9, $i!val!8) = $i!val!46).
% 10.86/11.09  tff(formula94, axiom,
% 10.86/11.09      compose($i!val!26, $i!val!8) = $i!val!47).
% 10.86/11.09  tff(formula95, axiom,
% 10.86/11.09      compose($i!val!15, $i!val!21) = $i!val!15).
% 10.86/11.09  tff(formula96, axiom,
% 10.86/11.09      compose($i!val!26, $i!val!29) = $i!val!26).
% 10.86/11.09  tff(formula97, axiom,
% 10.86/11.09      compose($i!val!9, $i!val!20) = $i!val!9).
% 10.86/11.09  tff(formula98, axiom,
% 10.86/11.09      compose($i!val!33, $i!val!8) = $i!val!49).
% 10.86/11.09  tff(formula99, axiom,
% 10.86/11.09      compose($i!val!33, $i!val!33) = $i!val!33).
% 10.86/11.09  tff(formula100, axiom,
% 10.86/11.09      compose($i!val!21, $i!val!21) = $i!val!21).
% 10.86/11.09  tff(formula101, axiom,
% 10.86/11.09      compose($i!val!29, $i!val!29) = $i!val!29).
% 10.86/11.09  tff(formula102, axiom,
% 10.86/11.09      compose($i!val!20, $i!val!20) = $i!val!20).
% 10.86/11.09  tff(formula103, axiom,
% 10.86/11.09      compose($i!val!18, $i!val!15) = $i!val!15).
% 10.86/11.09  tff(formula104, axiom,
% 10.86/11.09      compose($i!val!28, $i!val!26) = $i!val!26).
% 10.86/11.09  tff(formula105, axiom,
% 10.86/11.09      compose($i!val!19, $i!val!9) = $i!val!9).
% 10.86/11.09  tff(formula106, axiom,
% 10.86/11.09      compose($i!val!32, $i!val!8) = $i!val!50).
% 10.86/11.09  tff(formula107, axiom,
% 10.86/11.09      compose($i!val!32, $i!val!40) = $i!val!32).
% 10.86/11.09  tff(formula108, axiom,
% 10.86/11.09      compose($i!val!28, $i!val!8) = $i!val!51).
% 10.86/11.09  tff(formula109, axiom,
% 10.86/11.09      compose($i!val!19, $i!val!8) = $i!val!52).
% 10.86/11.09  tff(formula110, axiom,
% 10.86/11.09      compose($i!val!18, $i!val!18) = $i!val!18).
% 10.86/11.09  tff(formula111, axiom,
% 10.86/11.09      compose($i!val!28, $i!val!28) = $i!val!28).
% 10.86/11.09  tff(formula112, axiom,
% 10.86/11.09      compose($i!val!19, $i!val!19) = $i!val!19).
% 10.86/11.09  tff(formula113, axiom,
% 10.86/11.09      compose($i!val!40, $i!val!40) = $i!val!40).
% 10.86/11.09  tff(formula114, axiom,
% 10.86/11.09      compose($i!val!27, $i!val!11) = $i!val!11).
% 10.86/11.09  tff(formula115, axiom,
% 10.86/11.09      compose($i!val!27, $i!val!27) = $i!val!27).
% 10.86/11.09  tff(formula116, axiom,
% 10.86/11.09      compose($i!val!11, $i!val!8) = $i!val!54).
% 10.86/11.09  tff(formula117, axiom,
% 10.86/11.09      compose($i!val!11, $i!val!53) = $i!val!11).
% 10.86/11.09  tff(formula118, axiom,
% 10.86/11.09      compose($i!val!53, $i!val!53) = $i!val!53).
% 10.86/11.09  tff(formula119, axiom,
% 10.86/11.09      compose($i!val!53, $i!val!8) = $i!val!55).
% 10.86/11.09  tff(formula120, axiom,
% 10.86/11.09      compose($i!val!31, $i!val!30) = $i!val!30).
% 10.86/11.09  tff(formula121, axiom,
% 10.86/11.09      compose($i!val!31, $i!val!8) = $i!val!56).
% 10.86/11.09  tff(formula122, axiom,
% 10.86/11.09      compose($i!val!31, $i!val!31) = $i!val!31).
% 10.86/11.09  tff(formula123, axiom,
% 10.86/11.09      compose($i!val!30, $i!val!48) = $i!val!30).
% 10.86/11.09  tff(formula124, axiom,
% 10.86/11.09      compose($i!val!48, $i!val!48) = $i!val!48).
% 10.86/11.09  tff(formula125, axiom,
% 10.86/11.09      compose($i!val!48, $i!val!8) = $i!val!57).
% 10.86/11.09  tff(formula126, axiom,
% 10.86/11.09      compose($i!val!24, $i!val!10) = $i!val!10).
% 10.86/11.09  tff(formula127, axiom,
% 10.86/11.09      compose($i!val!24, $i!val!8) = $i!val!58).
% 10.86/11.09  tff(formula128, axiom,
% 10.86/11.09      compose($i!val!24, $i!val!24) = $i!val!24).
% 10.86/11.09  tff(formula129, axiom,
% 10.86/11.09      compose($i!val!10, $i!val!25) = $i!val!10).
% 10.86/11.09  tff(formula130, axiom,
% 10.86/11.09      compose($i!val!25, $i!val!25) = $i!val!25).
% 10.86/11.09  tff(formula131, axiom,
% 10.86/11.09      compose($i!val!25, $i!val!8) = $i!val!59).
% 10.86/11.09  tff(formula132, axiom,
% 10.86/11.09      compose($i!val!37, $i!val!36) = $i!val!36).
% 10.86/11.09  tff(formula133, axiom,
% 10.86/11.09      compose($i!val!37, $i!val!8) = $i!val!61).
% 10.86/11.09  tff(formula134, axiom,
% 10.86/11.09      compose($i!val!37, $i!val!37) = $i!val!37).
% 10.86/11.09  tff(formula135, axiom,
% 10.86/11.09      compose($i!val!36, $i!val!8) = $i!val!62).
% 10.86/11.09  tff(formula136, axiom,
% 10.86/11.09      compose($i!val!36, $i!val!60) = $i!val!36).
% 10.86/11.09  tff(formula137, axiom,
% 10.86/11.09      compose($i!val!60, $i!val!60) = $i!val!60).
% 10.86/11.09  tff(formula138, axiom,
% 10.86/11.09      compose($i!val!60, $i!val!8) = $i!val!63).
% 10.86/11.09  tff(formula139, axiom,
% 10.86/11.09      compose($i!val!42, $i!val!41) = $i!val!41).
% 10.86/11.09  tff(formula140, axiom,
% 10.86/11.09      compose($i!val!42, $i!val!42) = $i!val!42).
% 10.86/11.09  tff(formula141, axiom,
% 10.86/11.09      compose($i!val!41, $i!val!8) = $i!val!65).
% 10.86/11.09  tff(formula142, axiom,
% 10.86/11.09      compose($i!val!41, $i!val!64) = $i!val!41).
% 10.86/11.09  tff(formula143, axiom,
% 10.86/11.09      compose($i!val!64, $i!val!64) = $i!val!64).
% 10.86/11.09  tff(formula144, axiom,
% 10.86/11.09      compose($i!val!64, $i!val!8) = $i!val!66).
% 10.86/11.09  tff(formula145, axiom,
% 10.86/11.09      compose($i!val!35, $i!val!34) = $i!val!34).
% 10.86/11.09  tff(formula146, axiom,
% 10.86/11.09      compose($i!val!35, $i!val!8) = $i!val!68).
% 10.86/11.09  tff(formula147, axiom,
% 10.86/11.09      compose($i!val!35, $i!val!35) = $i!val!35).
% 10.86/11.09  tff(formula148, axiom,
% 10.86/11.09      compose($i!val!34, $i!val!8) = $i!val!69).
% 10.86/11.09  tff(formula149, axiom,
% 10.86/11.09      compose($i!val!34, $i!val!67) = $i!val!34).
% 10.86/11.09  tff(formula150, axiom,
% 10.86/11.09      compose($i!val!67, $i!val!67) = $i!val!67).
% 10.86/11.09  tff(formula151, axiom,
% 10.86/11.09      compose($i!val!67, $i!val!8) = $i!val!70).
% 10.86/11.09  tff(formula152, axiom,
% 10.86/11.09      compose($i!val!39, $i!val!38) = $i!val!38).
% 10.86/11.09  tff(formula153, axiom,
% 10.86/11.09      compose($i!val!39, $i!val!8) = $i!val!72).
% 10.86/11.09  tff(formula154, axiom,
% 10.86/11.09      compose($i!val!39, $i!val!39) = $i!val!39).
% 10.86/11.09  tff(formula155, axiom,
% 10.86/11.09      compose($i!val!38, $i!val!8) = $i!val!73).
% 10.86/11.09  tff(formula156, axiom,
% 10.86/11.09      compose($i!val!38, $i!val!71) = $i!val!38).
% 10.86/11.09  tff(formula157, axiom,
% 10.86/11.09      compose($i!val!71, $i!val!71) = $i!val!71).
% 10.86/11.09  tff(formula158, axiom,
% 10.86/11.09      compose($i!val!71, $i!val!8) = $i!val!74).
% 10.86/11.09  tff(formula159, axiom,
% 10.86/11.09      compose($i!val!23, $i!val!22) = $i!val!22).
% 10.86/11.09  tff(formula160, axiom,
% 10.86/11.09      compose($i!val!23, $i!val!8) = $i!val!76).
% 10.86/11.09  tff(formula161, axiom,
% 10.86/11.09      compose($i!val!23, $i!val!23) = $i!val!23).
% 10.86/11.09  tff(formula162, axiom,
% 10.86/11.09      compose($i!val!22, $i!val!8) = $i!val!77).
% 10.86/11.09  tff(formula163, axiom,
% 10.86/11.09      compose($i!val!22, $i!val!75) = $i!val!22).
% 10.86/11.09  tff(formula164, axiom,
% 10.86/11.09      compose($i!val!75, $i!val!75) = $i!val!75).
% 10.86/11.09  tff(formula165, axiom,
% 10.86/11.09      compose($i!val!75, $i!val!8) = $i!val!78).
% 10.86/11.09  tff(formula166, axiom,
% 10.86/11.09      compose($i!val!44, $i!val!43) = $i!val!43).
% 10.86/11.09  tff(formula167, axiom,
% 10.86/11.09      compose($i!val!44, $i!val!8) = $i!val!80).
% 10.86/11.09  tff(formula168, axiom,
% 10.86/11.09      compose($i!val!44, $i!val!44) = $i!val!44).
% 10.86/11.09  tff(formula169, axiom,
% 10.86/11.09      compose($i!val!43, $i!val!8) = $i!val!81).
% 10.86/11.09  tff(formula170, axiom,
% 10.86/11.09      compose($i!val!43, $i!val!79) = $i!val!43).
% 10.86/11.09  tff(formula171, axiom,
% 10.86/11.09      compose($i!val!79, $i!val!79) = $i!val!79).
% 10.86/11.09  tff(formula172, axiom,
% 10.86/11.09      ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!3 = X1)) | (($i!val!0 = X0) & ($i!val!4 = X1)) | (($i!val!2 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!3 = X1)) | (($i!val!2 = X0) & ($i!val!4 = X1)) | (($i!val!0 = X0) & ($i!val!2 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!0 = X0) & ($i!val!8 = X1)) | (($i!val!2 = X0) & ($i!val!8 = X1)) | (($i!val!5 = X0) & ($i!val!8 = X1)) | (($i!val!3 = X0) & ($i!val!8 = X1)) | (($i!val!4 = X0) & ($i!val!8 = X1)) | (($i!val!2 = X0) & ($i!val!2 = X1)) | (($i!val!3 = X0) & ($i!val!7 = X1)) | (($i!val!5 = X0) & ($i!val!7 = X1)) | (($i!val!4 = X0) & ($i!val!7 = X1)) | (($i!val!6 = X0) & ($i!val!0 = X1)) | (($i!val!6 = X0) & ($i!val!5 = X1)) | (($i!val!7 = X0) & ($i!val!7 = X1)) | (($i!val!6 = X0) & ($i!val!6 = X1)) | (($i!val!1 = X0) & ($i!val!8 = X1)) | (($i!val!6 = X0) & ($i!val!8 = X1)) | (($i!val!1 = X0) & ($i!val!14 = X1)) | (($i!val!7 = X0) & ($i!val!8 = X1)) | (($i!val!14 = X0) & ($i!val!14 = X1)) | (($i!val!14 = X0) & ($i!val!8 = X1)) | (($i!val!21 = X0) & ($i!val!8 = X1)) | (($i!val!20 = X0) & ($i!val!8 = X1)) | (($i!val!29 = X0) & ($i!val!8 = X1)) | (($i!val!30 = X0) & ($i!val!8 = X1)) | (($i!val!10 = X0) & ($i!val!8 = X1)) | (($i!val!18 = X0) & ($i!val!8 = X1)) | (($i!val!27 = X0) & ($i!val!8 = X1)) | (($i!val!40 = X0) & ($i!val!8 = X1)) | (($i!val!42 = X0) & ($i!val!8 = X1)) | (($i!val!8 = X0) & ($i!val!14 = X1)) | (($i!val!33 = X0) & ($i!val!32 = X1)) | (($i!val!15 = X0) & ($i!val!8 = X1)) | (($i!val!9 = X0) & ($i!val!8 = X1)) | (($i!val!26 = X0) & ($i!val!8 = X1)) | (($i!val!15 = X0) & ($i!val!21 = X1)) | (($i!val!26 = X0) & ($i!val!29 = X1)) | (($i!val!9 = X0) & ($i!val!20 = X1)) | (($i!val!33 = X0) & ($i!val!8 = X1)) | (($i!val!33 = X0) & ($i!val!33 = X1)) | (($i!val!21 = X0) & ($i!val!21 = X1)) | (($i!val!29 = X0) & ($i!val!29 = X1)) | (($i!val!20 = X0) & ($i!val!20 = X1)) | (($i!val!18 = X0) & ($i!val!15 = X1)) | (($i!val!28 = X0) & ($i!val!26 = X1)) | (($i!val!19 = X0) & ($i!val!9 = X1)) | (($i!val!32 = X0) & ($i!val!8 = X1)) | (($i!val!32 = X0) & ($i!val!40 = X1)) | (($i!val!28 = X0) & ($i!val!8 = X1)) | (($i!val!19 = X0) & ($i!val!8 = X1)) | (($i!val!18 = X0) & ($i!val!18 = X1)) | (($i!val!28 = X0) & ($i!val!28 = X1)) | (($i!val!19 = X0) & ($i!val!19 = X1)) | (($i!val!40 = X0) & ($i!val!40 = X1)) | (($i!val!27 = X0) & ($i!val!11 = X1)) | (($i!val!27 = X0) & ($i!val!27 = X1)) | (($i!val!11 = X0) & ($i!val!8 = X1)) | (($i!val!11 = X0) & ($i!val!53 = X1)) | (($i!val!53 = X0) & ($i!val!53 = X1)) | (($i!val!53 = X0) & ($i!val!8 = X1)) | (($i!val!31 = X0) & ($i!val!30 = X1)) | (($i!val!31 = X0) & ($i!val!8 = X1)) | (($i!val!31 = X0) & ($i!val!31 = X1)) | (($i!val!30 = X0) & ($i!val!48 = X1)) | (($i!val!48 = X0) & ($i!val!48 = X1)) | (($i!val!48 = X0) & ($i!val!8 = X1)) | (($i!val!24 = X0) & ($i!val!10 = X1)) | (($i!val!24 = X0) & ($i!val!8 = X1)) | (($i!val!24 = X0) & ($i!val!24 = X1)) | (($i!val!10 = X0) & ($i!val!25 = X1)) | (($i!val!25 = X0) & ($i!val!25 = X1)) | (($i!val!25 = X0) & ($i!val!8 = X1)) | (($i!val!37 = X0) & ($i!val!36 = X1)) | (($i!val!37 = X0) & ($i!val!8 = X1)) | (($i!val!37 = X0) & ($i!val!37 = X1)) | (($i!val!36 = X0) & ($i!val!8 = X1)) | (($i!val!36 = X0) & ($i!val!60 = X1)) | (($i!val!60 = X0) & ($i!val!60 = X1)) | (($i!val!60 = X0) & ($i!val!8 = X1)) | (($i!val!42 = X0) & ($i!val!41 = X1)) | (($i!val!42 = X0) & ($i!val!42 = X1)) | (($i!val!41 = X0) & ($i!val!8 = X1)) | (($i!val!41 = X0) & ($i!val!64 = X1)) | (($i!val!64 = X0) & ($i!val!64 = X1)) | (($i!val!64 = X0) & ($i!val!8 = X1)) | (($i!val!35 = X0) & ($i!val!34 = X1)) | (($i!val!35 = X0) & ($i!val!8 = X1)) | (($i!val!35 = X0) & ($i!val!35 = X1)) | (($i!val!34 = X0) & ($i!val!8 = X1)) | (($i!val!34 = X0) & ($i!val!67 = X1)) | (($i!val!67 = X0) & ($i!val!67 = X1)) | (($i!val!67 = X0) & ($i!val!8 = X1)) | (($i!val!39 = X0) & ($i!val!38 = X1)) | (($i!val!39 = X0) & ($i!val!8 = X1)) | (($i!val!39 = X0) & ($i!val!39 = X1)) | (($i!val!38 = X0) & ($i!val!8 = X1)) | (($i!val!38 = X0) & ($i!val!71 = X1)) | (($i!val!71 = X0) & ($i!val!71 = X1)) | (($i!val!71 = X0) & ($i!val!8 = X1)) | (($i!val!23 = X0) & ($i!val!22 = X1)) | (($i!val!23 = X0) & ($i!val!8 = X1)) | (($i!val!23 = X0) & ($i!val!23 = X1)) | (($i!val!22 = X0) & ($i!val!8 = X1)) | (($i!val!22 = X0) & ($i!val!75 = X1)) | (($i!val!75 = X0) & ($i!val!75 = X1)) | (($i!val!75 = X0) & ($i!val!8 = X1)) | (($i!val!44 = X0) & ($i!val!43 = X1)) | (($i!val!44 = X0) & ($i!val!8 = X1)) | (($i!val!44 = X0) & ($i!val!44 = X1)) | (($i!val!43 = X0) & ($i!val!8 = X1)) | (($i!val!43 = X0) & ($i!val!79 = X1)) | (($i!val!79 = X0) & ($i!val!79 = X1)))) => (compose(X0, X1) = ite_t((X0 = codomain(X1)), X1, X0)))).
% 10.86/11.09  tff(formula173, axiom,
% 10.86/11.09      ![X0: $i] : (domain(X0) = ite_t((k!160(X0) = $i!val!79), $i!val!79, ite_t((k!160(X0) = $i!val!44), $i!val!44, ite_t((k!160(X0) = $i!val!75), $i!val!75, ite_t((k!160(X0) = $i!val!23), $i!val!23, ite_t((k!160(X0) = $i!val!71), $i!val!71, ite_t((k!160(X0) = $i!val!39), $i!val!39, ite_t((k!160(X0) = $i!val!67), $i!val!67, ite_t((k!160(X0) = $i!val!35), $i!val!35, ite_t((k!160(X0) = $i!val!64), $i!val!64, ite_t((k!160(X0) = $i!val!42), $i!val!42, ite_t((k!160(X0) = $i!val!60), $i!val!60, ite_t((k!160(X0) = $i!val!37), $i!val!37, ite_t((k!160(X0) = $i!val!25), $i!val!25, ite_t((k!160(X0) = $i!val!24), $i!val!24, ite_t((k!160(X0) = $i!val!48), $i!val!48, ite_t((k!160(X0) = $i!val!31), $i!val!31, ite_t((k!160(X0) = $i!val!53), $i!val!53, ite_t((k!160(X0) = $i!val!27), $i!val!27, ite_t((k!160(X0) = $i!val!19), $i!val!19, ite_t((k!160(X0) = $i!val!28), $i!val!28, ite_t((k!160(X0) = $i!val!18), $i!val!18, ite_t((k!160(X0) = $i!val!40), $i!val!40, ite_t((k!160(X0) = $i!val!33), $i!val!33, ite_t((k!160(X0) = $i!val!20), $i!val!20, ite_t((k!160(X0) = $i!val!29), $i!val!29, ite_t((k!160(X0) = $i!val!21), $i!val!21, ite_t((k!160(X0) = $i!val!43), $i!val!44, ite_t((k!160(X0) = $i!val!41), $i!val!42, ite_t((k!160(X0) = $i!val!38), $i!val!39, ite_t((k!160(X0) = $i!val!36), $i!val!37, ite_t((k!160(X0) = $i!val!34), $i!val!35, ite_t((k!160(X0) = $i!val!32), $i!val!33, ite_t((k!160(X0) = $i!val!30), $i!val!31, ite_t((k!160(X0) = $i!val!26), $i!val!28, ite_t((k!160(X0) = $i!val!11), $i!val!27, ite_t((k!160(X0) = $i!val!10), $i!val!24, ite_t((k!160(X0) = $i!val!22), $i!val!23, ite_t((k!160(X0) = $i!val!9), $i!val!19, ite_t((k!160(X0) = $i!val!15), $i!val!18, ite_t((k!160(X0) = $i!val!14), $i!val!14, ite_t((k!160(X0) = $i!val!6), $i!val!6, ite_t((k!160(X0) = $i!val!7), $i!val!7, ite_t(((k!160(X0) = $i!val!0) | (k!160(X0) = $i!val!5) | (k!160(X0) = $i!val!8)), $i!val!6, $i!val!2))))))))))))))))))))))))))))))))))))))))))))).
% 10.86/11.09  % SZS output end Model
% 10.86/11.10  % E exiting
%------------------------------------------------------------------------------