TSTP Solution File: SWV010+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 15:09:37 EDT 2022
% Result : Satisfiable 5.93s 3.99s
% Output : Model 5.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n026.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 : Sun Sep 4 01:11:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 5.93/3.99 % SZS status Satisfiable
% 5.93/3.99 % SZS output start Model
% 5.93/3.99 tff(tptp_fun__i_val_0_type, type, (
% 5.93/3.99 tptp_fun__i_val_0: $i)).
% 5.93/3.99 tff(at_type, type, (
% 5.93/3.99 at: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_1_type, type, (
% 5.93/3.99 tptp_fun__i_val_1: $i)).
% 5.93/3.99 tff(t_type, type, (
% 5.93/3.99 t: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_4_type, type, (
% 5.93/3.99 tptp_fun__i_val_4: $i)).
% 5.93/3.99 tff(b_type, type, (
% 5.93/3.99 b: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_3_type, type, (
% 5.93/3.99 tptp_fun__i_val_3: $i)).
% 5.93/3.99 tff(a_type, type, (
% 5.93/3.99 a: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_5_type, type, (
% 5.93/3.99 tptp_fun__i_val_5: $i)).
% 5.93/3.99 tff(an_a_nonce_type, type, (
% 5.93/3.99 an_a_nonce: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_9_type, type, (
% 5.93/3.99 tptp_fun__i_val_9: $i)).
% 5.93/3.99 tff(bt_type, type, (
% 5.93/3.99 bt: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_18_type, type, (
% 5.93/3.99 tptp_fun__i_val_18: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_100_type, type, (
% 5.93/3.99 tptp_fun__i_val_100: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_105_type, type, (
% 5.93/3.99 tptp_fun__i_val_105: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_22_type, type, (
% 5.93/3.99 tptp_fun__i_val_22: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_133_type, type, (
% 5.93/3.99 tptp_fun__i_val_133: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_108_type, type, (
% 5.93/3.99 tptp_fun__i_val_108: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_7_type, type, (
% 5.93/3.99 tptp_fun__i_val_7: $i)).
% 5.93/3.99 tff(message_type, type, (
% 5.93/3.99 message: $i > $o)).
% 5.93/3.99 tff(tptp_fun__i_val_90_type, type, (
% 5.93/3.99 tptp_fun__i_val_90: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_13_type, type, (
% 5.93/3.99 tptp_fun__i_val_13: $i)).
% 5.93/3.99 tff(k!223_type, type, (
% 5.93/3.99 k!223: $i > $i)).
% 5.93/3.99 tff(tptp_fun__i_val_35_type, type, (
% 5.93/3.99 tptp_fun__i_val_35: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_23_type, type, (
% 5.93/3.99 tptp_fun__i_val_23: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_68_type, type, (
% 5.93/3.99 tptp_fun__i_val_68: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_67_type, type, (
% 5.93/3.99 tptp_fun__i_val_67: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_111_type, type, (
% 5.93/3.99 tptp_fun__i_val_111: $i)).
% 5.93/3.99 tff(generate_b_nonce_type, type, (
% 5.93/3.99 generate_b_nonce: $i > $i)).
% 5.93/3.99 tff(a_holds_type, type, (
% 5.93/3.99 a_holds: $i > $o)).
% 5.93/3.99 tff(a_stored_type, type, (
% 5.93/3.99 a_stored: $i > $o)).
% 5.93/3.99 tff(tptp_fun__i_val_26_type, type, (
% 5.93/3.99 tptp_fun__i_val_26: $i)).
% 5.93/3.99 tff(b_stored_type, type, (
% 5.93/3.99 b_stored: $i > $o)).
% 5.93/3.99 tff(tptp_fun__i_val_125_type, type, (
% 5.93/3.99 tptp_fun__i_val_125: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_16_type, type, (
% 5.93/3.99 tptp_fun__i_val_16: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_15_type, type, (
% 5.93/3.99 tptp_fun__i_val_15: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_20_type, type, (
% 5.93/3.99 tptp_fun__i_val_20: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_19_type, type, (
% 5.93/3.99 tptp_fun__i_val_19: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_28_type, type, (
% 5.93/3.99 tptp_fun__i_val_28: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_27_type, type, (
% 5.93/3.99 tptp_fun__i_val_27: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_32_type, type, (
% 5.93/3.99 tptp_fun__i_val_32: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_31_type, type, (
% 5.93/3.99 tptp_fun__i_val_31: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_38_type, type, (
% 5.93/3.99 tptp_fun__i_val_38: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_37_type, type, (
% 5.93/3.99 tptp_fun__i_val_37: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_44_type, type, (
% 5.93/3.99 tptp_fun__i_val_44: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_43_type, type, (
% 5.93/3.99 tptp_fun__i_val_43: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_48_type, type, (
% 5.93/3.99 tptp_fun__i_val_48: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_47_type, type, (
% 5.93/3.99 tptp_fun__i_val_47: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_52_type, type, (
% 5.93/3.99 tptp_fun__i_val_52: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_51_type, type, (
% 5.93/3.99 tptp_fun__i_val_51: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_56_type, type, (
% 5.93/3.99 tptp_fun__i_val_56: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_55_type, type, (
% 5.93/3.99 tptp_fun__i_val_55: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_62_type, type, (
% 5.93/3.99 tptp_fun__i_val_62: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_61_type, type, (
% 5.93/3.99 tptp_fun__i_val_61: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_69_type, type, (
% 5.93/3.99 tptp_fun__i_val_69: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_72_type, type, (
% 5.93/3.99 tptp_fun__i_val_72: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_71_type, type, (
% 5.93/3.99 tptp_fun__i_val_71: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_75_type, type, (
% 5.93/3.99 tptp_fun__i_val_75: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_39_type, type, (
% 5.93/3.99 tptp_fun__i_val_39: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_79_type, type, (
% 5.93/3.99 tptp_fun__i_val_79: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_78_type, type, (
% 5.93/3.99 tptp_fun__i_val_78: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_83_type, type, (
% 5.93/3.99 tptp_fun__i_val_83: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_82_type, type, (
% 5.93/3.99 tptp_fun__i_val_82: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_87_type, type, (
% 5.93/3.99 tptp_fun__i_val_87: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_86_type, type, (
% 5.93/3.99 tptp_fun__i_val_86: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_91_type, type, (
% 5.93/3.99 tptp_fun__i_val_91: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_96_type, type, (
% 5.93/3.99 tptp_fun__i_val_96: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_95_type, type, (
% 5.93/3.99 tptp_fun__i_val_95: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_98_type, type, (
% 5.93/3.99 tptp_fun__i_val_98: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_97_type, type, (
% 5.93/3.99 tptp_fun__i_val_97: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_101_type, type, (
% 5.93/3.99 tptp_fun__i_val_101: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_103_type, type, (
% 5.93/3.99 tptp_fun__i_val_103: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_102_type, type, (
% 5.93/3.99 tptp_fun__i_val_102: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_106_type, type, (
% 5.93/3.99 tptp_fun__i_val_106: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_94_type, type, (
% 5.93/3.99 tptp_fun__i_val_94: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_114_type, type, (
% 5.93/3.99 tptp_fun__i_val_114: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_113_type, type, (
% 5.93/3.99 tptp_fun__i_val_113: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_126_type, type, (
% 5.93/3.99 tptp_fun__i_val_126: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_36_type, type, (
% 5.93/3.99 tptp_fun__i_val_36: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_131_type, type, (
% 5.93/3.99 tptp_fun__i_val_131: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_130_type, type, (
% 5.93/3.99 tptp_fun__i_val_130: $i)).
% 5.93/3.99 tff(encrypt_type, type, (
% 5.93/3.99 encrypt: ( $i * $i ) > $i)).
% 5.93/3.99 tff(tptp_fun__i_val_6_type, type, (
% 5.93/3.99 tptp_fun__i_val_6: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_8_type, type, (
% 5.93/3.99 tptp_fun__i_val_8: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_24_type, type, (
% 5.93/3.99 tptp_fun__i_val_24: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_107_type, type, (
% 5.93/3.99 tptp_fun__i_val_107: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_118_type, type, (
% 5.93/3.99 tptp_fun__i_val_118: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_121_type, type, (
% 5.93/3.99 tptp_fun__i_val_121: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_123_type, type, (
% 5.93/3.99 tptp_fun__i_val_123: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_127_type, type, (
% 5.93/3.99 tptp_fun__i_val_127: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_134_type, type, (
% 5.93/3.99 tptp_fun__i_val_134: $i)).
% 5.93/3.99 tff(pair_type, type, (
% 5.93/3.99 pair: ( $i * $i ) > $i)).
% 5.93/3.99 tff(tptp_fun__i_val_17_type, type, (
% 5.93/3.99 tptp_fun__i_val_17: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_21_type, type, (
% 5.93/3.99 tptp_fun__i_val_21: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_25_type, type, (
% 5.93/3.99 tptp_fun__i_val_25: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_30_type, type, (
% 5.93/3.99 tptp_fun__i_val_30: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_29_type, type, (
% 5.93/3.99 tptp_fun__i_val_29: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_34_type, type, (
% 5.93/3.99 tptp_fun__i_val_34: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_33_type, type, (
% 5.93/3.99 tptp_fun__i_val_33: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_40_type, type, (
% 5.93/3.99 tptp_fun__i_val_40: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_46_type, type, (
% 5.93/3.99 tptp_fun__i_val_46: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_45_type, type, (
% 5.93/3.99 tptp_fun__i_val_45: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_50_type, type, (
% 5.93/3.99 tptp_fun__i_val_50: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_49_type, type, (
% 5.93/3.99 tptp_fun__i_val_49: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_54_type, type, (
% 5.93/3.99 tptp_fun__i_val_54: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_53_type, type, (
% 5.93/3.99 tptp_fun__i_val_53: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_58_type, type, (
% 5.93/3.99 tptp_fun__i_val_58: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_57_type, type, (
% 5.93/3.99 tptp_fun__i_val_57: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_64_type, type, (
% 5.93/3.99 tptp_fun__i_val_64: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_63_type, type, (
% 5.93/3.99 tptp_fun__i_val_63: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_74_type, type, (
% 5.93/3.99 tptp_fun__i_val_74: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_73_type, type, (
% 5.93/3.99 tptp_fun__i_val_73: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_77_type, type, (
% 5.93/3.99 tptp_fun__i_val_77: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_76_type, type, (
% 5.93/3.99 tptp_fun__i_val_76: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_81_type, type, (
% 5.93/3.99 tptp_fun__i_val_81: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_80_type, type, (
% 5.93/3.99 tptp_fun__i_val_80: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_85_type, type, (
% 5.93/3.99 tptp_fun__i_val_85: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_84_type, type, (
% 5.93/3.99 tptp_fun__i_val_84: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_89_type, type, (
% 5.93/3.99 tptp_fun__i_val_89: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_88_type, type, (
% 5.93/3.99 tptp_fun__i_val_88: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_93_type, type, (
% 5.93/3.99 tptp_fun__i_val_93: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_92_type, type, (
% 5.93/3.99 tptp_fun__i_val_92: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_99_type, type, (
% 5.93/3.99 tptp_fun__i_val_99: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_104_type, type, (
% 5.93/3.99 tptp_fun__i_val_104: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_116_type, type, (
% 5.93/3.99 tptp_fun__i_val_116: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_115_type, type, (
% 5.93/3.99 tptp_fun__i_val_115: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_117_type, type, (
% 5.93/3.99 tptp_fun__i_val_117: $i)).
% 5.93/3.99 tff(tptp_fun__i_val_119_type, type, (
% 5.93/4.00 tptp_fun__i_val_119: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_120_type, type, (
% 5.93/4.00 tptp_fun__i_val_120: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_122_type, type, (
% 5.93/4.00 tptp_fun__i_val_122: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_124_type, type, (
% 5.93/4.00 tptp_fun__i_val_124: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_128_type, type, (
% 5.93/4.00 tptp_fun__i_val_128: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_132_type, type, (
% 5.93/4.00 tptp_fun__i_val_132: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_135_type, type, (
% 5.93/4.00 tptp_fun__i_val_135: $i)).
% 5.93/4.00 tff(sent_type, type, (
% 5.93/4.00 sent: ( $i * $i * $i ) > $i)).
% 5.93/4.00 tff(tptp_fun__i_val_14_type, type, (
% 5.93/4.00 tptp_fun__i_val_14: $i)).
% 5.93/4.00 tff(quadruple_type, type, (
% 5.93/4.00 quadruple: ( $i * $i * $i * $i ) > $i)).
% 5.93/4.00 tff(fresh_to_b_type, type, (
% 5.93/4.00 fresh_to_b: $i > $o)).
% 5.93/4.00 tff(tptp_fun__i_val_2_type, type, (
% 5.93/4.00 tptp_fun__i_val_2: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_10_type, type, (
% 5.93/4.00 tptp_fun__i_val_10: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_11_type, type, (
% 5.93/4.00 tptp_fun__i_val_11: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_12_type, type, (
% 5.93/4.00 tptp_fun__i_val_12: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_41_type, type, (
% 5.93/4.00 tptp_fun__i_val_41: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_42_type, type, (
% 5.93/4.00 tptp_fun__i_val_42: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_59_type, type, (
% 5.93/4.00 tptp_fun__i_val_59: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_60_type, type, (
% 5.93/4.00 tptp_fun__i_val_60: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_65_type, type, (
% 5.93/4.00 tptp_fun__i_val_65: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_66_type, type, (
% 5.93/4.00 tptp_fun__i_val_66: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_109_type, type, (
% 5.93/4.00 tptp_fun__i_val_109: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_110_type, type, (
% 5.93/4.00 tptp_fun__i_val_110: $i)).
% 5.93/4.00 tff(key_type, type, (
% 5.93/4.00 key: ( $i * $i ) > $i)).
% 5.93/4.00 tff(tptp_fun__i_val_70_type, type, (
% 5.93/4.00 tptp_fun__i_val_70: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_112_type, type, (
% 5.93/4.00 tptp_fun__i_val_112: $i)).
% 5.93/4.00 tff(tptp_fun__i_val_129_type, type, (
% 5.93/4.00 tptp_fun__i_val_129: $i)).
% 5.93/4.00 tff(triple_type, type, (
% 5.93/4.00 triple: ( $i * $i * $i ) > $i)).
% 5.93/4.00 tff(b_holds_type, type, (
% 5.93/4.00 b_holds: $i > $o)).
% 5.93/4.00 tff(t_holds_type, type, (
% 5.93/4.00 t_holds: $i > $o)).
% 5.93/4.00 tff(party_of_protocol_type, type, (
% 5.93/4.00 party_of_protocol: $i > $o)).
% 5.93/4.00 tff(generate_expiration_time_type, type, (
% 5.93/4.00 generate_expiration_time: $i > $i)).
% 5.93/4.00 tff(generate_key_type, type, (
% 5.93/4.00 generate_key: $i > $i)).
% 5.93/4.00 tff(formula1, axiom,
% 5.93/4.00 at = $i!val!0).
% 5.93/4.00 tff(formula2, axiom,
% 5.93/4.00 t = $i!val!1).
% 5.93/4.00 tff(formula3, axiom,
% 5.93/4.00 b = $i!val!4).
% 5.93/4.00 tff(formula4, axiom,
% 5.93/4.00 a = $i!val!3).
% 5.93/4.00 tff(formula5, axiom,
% 5.93/4.00 an_a_nonce = $i!val!5).
% 5.93/4.00 tff(formula6, axiom,
% 5.93/4.00 bt = $i!val!9).
% 5.93/4.00 tff(formula7, axiom,
% 5.93/4.00 ![X0: $i] : (message(X0) <=> ((X0 = $i!val!7) | (X0 = $i!val!108) | (X0 = $i!val!133) | (X0 = $i!val!22) | (X0 = $i!val!105) | (X0 = $i!val!100) | (X0 = $i!val!18)))).
% 5.93/4.00 tff(formula8, axiom,
% 5.93/4.00 ![X0: $i] : (generate_b_nonce(X0) = ite_t((k!223(X0) = $i!val!4), $i!val!111, ite_t((k!223(X0) = $i!val!67), $i!val!68, ite_t((k!223(X0) = $i!val!23), $i!val!35, ite_t((k!223(X0) = $i!val!5), $i!val!13, $i!val!90)))))).
% 5.93/4.00 tff(formula9, axiom,
% 5.93/4.00 ![X0: $i] : (a_holds(X0) <=> $true)).
% 5.93/4.00 tff(formula10, axiom,
% 5.93/4.00 a_stored($i!val!26) <=> $false).
% 5.93/4.00 tff(formula11, axiom,
% 5.93/4.00 ![X0: $i] : ((~(($i!val!26 = X0))) => (a_stored(X0) <=> $true))).
% 5.93/4.00 tff(formula12, axiom,
% 5.93/4.00 b_stored($i!val!26) <=> $false).
% 5.93/4.00 tff(formula13, axiom,
% 5.93/4.00 b_stored($i!val!125) <=> $false).
% 5.93/4.00 tff(formula14, axiom,
% 5.93/4.00 ![X0: $i] : ((~((($i!val!26 = X0)) | (($i!val!125 = X0)))) => (b_stored(X0) <=> $true))).
% 5.93/4.00 tff(formula15, axiom,
% 5.93/4.00 ![X0: $i, X1: $i] : (encrypt(X0, X1) = ite_t(((k!223(X1) = $i!val!130) & (k!223(X0) = $i!val!9)), $i!val!131, ite_t(((k!223(X1) = $i!val!35) & (k!223(X0) = $i!val!36)), $i!val!126, ite_t(((k!223(X1) = $i!val!113) & (k!223(X0) = $i!val!9)), $i!val!114, ite_t(((k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!94)), $i!val!106, ite_t(((k!223(X1) = $i!val!102) & (k!223(X0) = $i!val!9)), $i!val!103, ite_t(((k!223(X1) = $i!val!95) & (k!223(X0) = $i!val!0)), $i!val!101, ite_t(((k!223(X1) = $i!val!97) & (k!223(X0) = $i!val!9)), $i!val!98, ite_t(((k!223(X1) = $i!val!95) & (k!223(X0) = $i!val!9)), $i!val!96, ite_t(((k!223(X1) = $i!val!90) & (k!223(X0) = $i!val!9)), $i!val!91, ite_t(((k!223(X1) = $i!val!86) & (k!223(X0) = $i!val!9)), $i!val!87, ite_t(((k!223(X1) = $i!val!82) & (k!223(X0) = $i!val!9)), $i!val!83, ite_t(((k!223(X1) = $i!val!78) & (k!223(X0) = $i!val!9)), $i!val!79, ite_t(((k!223(X1) = $i!val!39) & (k!223(X0) = $i!val!9)), $i!val!75, ite_t(((k!223(X1) = $i!val!71) & (k!223(X0) = $i!val!9)), $i!val!72, ite_t(((k!223(X1) = $i!val!68) & (k!223(X0) = $i!val!67)), $i!val!69, ite_t(((k!223(X1) = $i!val!35) & (k!223(X0) = $i!val!23)), $i!val!67, ite_t(((k!223(X1) = $i!val!61) & (k!223(X0) = $i!val!5)), $i!val!62, ite_t(((k!223(X1) = $i!val!55) & (k!223(X0) = $i!val!9)), $i!val!56, ite_t(((k!223(X1) = $i!val!51) & (k!223(X0) = $i!val!9)), $i!val!52, ite_t(((k!223(X1) = $i!val!47) & (k!223(X0) = $i!val!9)), $i!val!48, ite_t(((k!223(X1) = $i!val!43) & (k!223(X0) = $i!val!9)), $i!val!44, ite_t(((k!223(X1) = $i!val!37) & (k!223(X0) = $i!val!9)), $i!val!38, ite_t(((k!223(X1) = $i!val!31) & (k!223(X0) = $i!val!0)), $i!val!32, ite_t(((k!223(X1) = $i!val!27) & (k!223(X0) = $i!val!0)), $i!val!28, ite_t(((k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!5)), $i!val!23, ite_t(((k!223(X1) = $i!val!19) & (k!223(X0) = $i!val!9)), $i!val!20, ite_t(((k!223(X1) = $i!val!15) & (k!223(X0) = $i!val!9)), $i!val!16, $i!val!90))))))))))))))))))))))))))))).
% 5.93/4.00 tff(formula16, axiom,
% 5.93/4.00 ![X0: $i, X1: $i] : (pair(X0, X1) = ite_t(((k!223(X1) = $i!val!131) & (k!223(X0) = $i!val!69)), $i!val!134, ite_t(((k!223(X1) = $i!val!91) & (k!223(X0) = $i!val!126)), $i!val!127, ite_t(((k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!69)), $i!val!125, ite_t(((k!223(X1) = $i!val!20) & (k!223(X0) = $i!val!23)), $i!val!123, ite_t(((k!223(X1) = $i!val!98) & (k!223(X0) = $i!val!106)), $i!val!121, ite_t(((k!223(X1) = $i!val!38) & (k!223(X0) = $i!val!67)), $i!val!118, ite_t(((k!223(X1) = $i!val!103) & (k!223(X0) = $i!val!106)), $i!val!107, ite_t(((k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!4)), $i!val!26, ite_t(((k!223(X1) = $i!val!16) & (k!223(X0) = $i!val!23)), $i!val!24, ite_t(((k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!5)), $i!val!8, ite_t(((k!223(X1) = $i!val!3) & (k!223(X0) = $i!val!5)), $i!val!6, $i!val!90))))))))))))).
% 5.93/4.00 tff(formula17, axiom,
% 5.93/4.00 ![X0: $i, X1: $i, X2: $i] : (sent(X0, X1, X2) = ite_t(((k!223(X2) = $i!val!38) & (k!223(X1) = $i!val!4) & (X0 = $i!val!134)), $i!val!135, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!132)), $i!val!133, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (X0 = $i!val!127)), $i!val!128, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (X0 = $i!val!123)), $i!val!124, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (X0 = $i!val!121)), $i!val!122, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (X0 = $i!val!26)), $i!val!120, ite_t(((k!223(X2) = $i!val!16) & (k!223(X1) = $i!val!4) & (X0 = $i!val!118)), $i!val!119, ite_t(((k!223(X2) = $i!val!16) & (k!223(X1) = $i!val!4) & (X0 = $i!val!24)), $i!val!117, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!115)), $i!val!116, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!4) & (X0 = $i!val!107)), $i!val!108, ite_t(((k!223(X2) = $i!val!1) & (k!223(X1) = $i!val!3) & (X0 = $i!val!104)), $i!val!105, ite_t(((k!223(X2) = $i!val!1) & (k!223(X1) = $i!val!4) & (X0 = $i!val!99)), $i!val!100, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!92)), $i!val!93, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!88)), $i!val!89, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!84)), $i!val!85, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!80)), $i!val!81, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!76)), $i!val!77, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!73)), $i!val!74, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!63)), $i!val!64, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!57)), $i!val!58, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!53)), $i!val!54, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!49)), $i!val!50, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!45)), $i!val!46, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!39)), $i!val!40, ite_t(((k!223(X2) = $i!val!1) & (k!223(X1) = $i!val!3) & (X0 = $i!val!33)), $i!val!34, ite_t(((k!223(X2) = $i!val!1) & (k!223(X1) = $i!val!3) & (X0 = $i!val!29)), $i!val!30, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!4) & (X0 = $i!val!24)), $i!val!25, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!21)), $i!val!22, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!1) & (X0 = $i!val!17)), $i!val!18, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!4) & (X0 = $i!val!6)), $i!val!7, $i!val!90)))))))))))))))))))))))))))))))).
% 5.93/4.00 tff(formula18, axiom,
% 5.93/4.00 ![X0: $i, X1: $i, X2: $i, X3: $i] : (quadruple(X0, X1, X2, X3) = ite_t(((k!223(X3) = $i!val!4) & (k!223(X2) = $i!val!5) & (k!223(X1) = $i!val!94) & (k!223(X0) = $i!val!14)), $i!val!95, ite_t(((k!223(X3) = $i!val!4) & (k!223(X2) = $i!val!5) & (k!223(X1) = $i!val!5) & (k!223(X0) = $i!val!1)), $i!val!31, ite_t(((k!223(X3) = $i!val!4) & (k!223(X2) = $i!val!5) & (k!223(X1) = $i!val!5) & (k!223(X0) = $i!val!0)), $i!val!27, $i!val!90))))).
% 5.93/4.00 tff(formula19, axiom,
% 5.93/4.00 ![X0: $i] : (fresh_to_b(X0) <=> (k!223(X0) = $i!val!5))).
% 5.93/4.00 tff(formula20, axiom,
% 5.93/4.00 ![X0: $i, X1: $i] : (key(X0, X1) = ite_t(((k!223(X1) = $i!val!94) & (k!223(X0) = $i!val!3)), $i!val!110, ite_t(((k!223(X1) = $i!val!94) & (k!223(X0) = $i!val!4)), $i!val!109, ite_t(((k!223(X1) = $i!val!23) & (k!223(X0) = $i!val!36)), $i!val!66, ite_t(((k!223(X1) = $i!val!36) & (k!223(X0) = $i!val!4)), $i!val!65, ite_t(((k!223(X1) = $i!val!32) & (k!223(X0) = $i!val!4)), $i!val!60, ite_t(((k!223(X1) = $i!val!0) & (k!223(X0) = $i!val!36)), $i!val!59, ite_t(((k!223(X1) = $i!val!28) & (k!223(X0) = $i!val!36)), $i!val!42, ite_t(((k!223(X1) = $i!val!23) & (k!223(X0) = $i!val!38)), $i!val!41, ite_t(((k!223(X1) = $i!val!9) & (k!223(X0) = $i!val!4)), $i!val!12, ite_t(((k!223(X1) = $i!val!0) & (k!223(X0) = $i!val!3)), $i!val!11, ite_t(((k!223(X1) = $i!val!9) & (k!223(X0) = $i!val!1)), $i!val!10, ite_t(((k!223(X1) = $i!val!0) & (k!223(X0) = $i!val!1)), $i!val!2, $i!val!90)))))))))))))).
% 5.93/4.00 tff(formula21, axiom,
% 5.93/4.00 ![X0: $i, X1: $i, X2: $i] : (triple(X0, X1, X2) = ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!68) & (k!223(X0) = $i!val!131)), $i!val!132, ite_t(((k!223(X2) = $i!val!38) & (k!223(X1) = $i!val!67) & (k!223(X0) = $i!val!129)), $i!val!130, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!111) & (k!223(X0) = $i!val!114)), $i!val!115, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!112)), $i!val!113, ite_t(((k!223(X2) = $i!val!101) & (k!223(X1) = $i!val!103) & (k!223(X0) = $i!val!13)), $i!val!104, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!94) & (k!223(X0) = $i!val!14)), $i!val!102, ite_t(((k!223(X2) = $i!val!96) & (k!223(X1) = $i!val!98) & (k!223(X0) = $i!val!13)), $i!val!99, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!94) & (k!223(X0) = $i!val!14)), $i!val!97, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!91)), $i!val!92, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!87)), $i!val!88, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!36) & (k!223(X0) = $i!val!56)), $i!val!86, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!83)), $i!val!84, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!36) & (k!223(X0) = $i!val!32)), $i!val!82, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!79)), $i!val!80, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!36) & (k!223(X0) = $i!val!61)), $i!val!78, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!75)), $i!val!76, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!72)), $i!val!73, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!36) & (k!223(X0) = $i!val!70)), $i!val!71, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!62)), $i!val!63, ite_t(((k!223(X2) = $i!val!36) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!4)), $i!val!61, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!56)), $i!val!57, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!31)), $i!val!55, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!52)), $i!val!53, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!28)), $i!val!51, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!48)), $i!val!49, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!15)), $i!val!47, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!44)), $i!val!45, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!4) & (k!223(X0) = $i!val!13)), $i!val!43, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!35) & (k!223(X0) = $i!val!38)), $i!val!39, ite_t(((k!223(X2) = $i!val!16) & (k!223(X1) = $i!val!23) & (k!223(X0) = $i!val!36)), $i!val!37, ite_t(((k!223(X2) = $i!val!32) & (k!223(X1) = $i!val!16) & (k!223(X0) = $i!val!13)), $i!val!33, ite_t(((k!223(X2) = $i!val!28) & (k!223(X1) = $i!val!16) & (k!223(X0) = $i!val!13)), $i!val!29, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!20)), $i!val!21, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!5) & (k!223(X0) = $i!val!14)), $i!val!19, ite_t(((k!223(X2) = $i!val!4) & (k!223(X1) = $i!val!13) & (k!223(X0) = $i!val!16)), $i!val!17, ite_t(((k!223(X2) = $i!val!3) & (k!223(X1) = $i!val!5) & (k!223(X0) = $i!val!14)), $i!val!15, $i!val!90)))))))))))))))))))))))))))))))))))))).
% 5.93/4.00 tff(formula22, axiom,
% 5.93/4.00 ![X0: $i] : (b_holds(X0) <=> $true)).
% 5.93/4.00 tff(formula23, axiom,
% 5.93/4.00 ![X0: $i] : (t_holds(X0) <=> ((X0 = $i!val!11) | (X0 = $i!val!12)))).
% 5.93/4.00 tff(formula24, axiom,
% 5.93/4.00 k!223($i!val!75) = $i!val!75).
% 5.93/4.00 tff(formula25, axiom,
% 5.93/4.00 k!223($i!val!102) = $i!val!102).
% 5.93/4.00 tff(formula26, axiom,
% 5.93/4.00 k!223($i!val!15) = $i!val!15).
% 5.93/4.00 tff(formula27, axiom,
% 5.93/4.00 k!223($i!val!44) = $i!val!44).
% 5.93/4.00 tff(formula28, axiom,
% 5.93/4.00 k!223($i!val!62) = $i!val!62).
% 5.93/4.00 tff(formula29, axiom,
% 5.93/4.00 k!223($i!val!72) = $i!val!72).
% 5.93/4.00 tff(formula30, axiom,
% 5.93/4.00 k!223($i!val!91) = $i!val!91).
% 5.93/4.00 tff(formula31, axiom,
% 5.93/4.00 k!223($i!val!78) = $i!val!78).
% 5.93/4.00 tff(formula32, axiom,
% 5.93/4.00 k!223($i!val!98) = $i!val!98).
% 5.93/4.00 tff(formula33, axiom,
% 5.93/4.00 k!223($i!val!82) = $i!val!82).
% 5.93/4.00 tff(formula34, axiom,
% 5.93/4.00 k!223($i!val!27) = $i!val!27).
% 5.93/4.00 tff(formula35, axiom,
% 5.93/4.00 k!223($i!val!1) = $i!val!1).
% 5.93/4.00 tff(formula36, axiom,
% 5.93/4.00 k!223($i!val!83) = $i!val!83).
% 5.93/4.00 tff(formula37, axiom,
% 5.93/4.00 k!223($i!val!31) = $i!val!31).
% 5.93/4.00 tff(formula38, axiom,
% 5.93/4.00 k!223($i!val!28) = $i!val!28).
% 5.93/4.00 tff(formula39, axiom,
% 5.93/4.00 k!223($i!val!39) = $i!val!39).
% 5.93/4.00 tff(formula40, axiom,
% 5.93/4.00 k!223($i!val!103) = $i!val!103).
% 5.93/4.00 tff(formula41, axiom,
% 5.93/4.00 k!223($i!val!48) = $i!val!48).
% 5.93/4.00 tff(formula42, axiom,
% 5.93/4.00 k!223($i!val!9) = $i!val!9).
% 5.93/4.00 tff(formula43, axiom,
% 5.93/4.00 k!223($i!val!0) = $i!val!0).
% 5.93/4.00 tff(formula44, axiom,
% 5.93/4.00 k!223($i!val!37) = $i!val!37).
% 5.93/4.00 tff(formula45, axiom,
% 5.93/4.00 k!223($i!val!4) = $i!val!4).
% 5.93/4.00 tff(formula46, axiom,
% 5.93/4.00 k!223($i!val!14) = $i!val!14).
% 5.93/4.00 tff(formula47, axiom,
% 5.93/4.00 k!223($i!val!129) = $i!val!129).
% 5.93/4.00 tff(formula48, axiom,
% 5.93/4.00 k!223($i!val!94) = $i!val!94).
% 5.93/4.00 tff(formula49, axiom,
% 5.93/4.00 k!223($i!val!70) = $i!val!70).
% 5.93/4.00 tff(formula50, axiom,
% 5.93/4.00 k!223($i!val!20) = $i!val!20).
% 5.93/4.00 tff(formula51, axiom,
% 5.93/4.00 k!223($i!val!52) = $i!val!52).
% 5.93/4.00 tff(formula52, axiom,
% 5.93/4.00 k!223($i!val!36) = $i!val!36).
% 5.93/4.00 tff(formula53, axiom,
% 5.93/4.00 k!223($i!val!113) = $i!val!113).
% 5.93/4.00 tff(formula54, axiom,
% 5.93/4.00 k!223($i!val!97) = $i!val!97).
% 5.93/4.00 tff(formula55, axiom,
% 5.93/4.00 k!223($i!val!47) = $i!val!47).
% 5.93/4.00 tff(formula56, axiom,
% 5.93/4.00 k!223($i!val!13) = $i!val!13).
% 5.93/4.00 tff(formula57, axiom,
% 5.93/4.00 k!223($i!val!68) = $i!val!68).
% 5.93/4.00 tff(formula58, axiom,
% 5.93/4.00 k!223($i!val!126) = $i!val!126).
% 5.93/4.00 tff(formula59, axiom,
% 5.93/4.00 k!223($i!val!19) = $i!val!19).
% 5.93/4.00 tff(formula60, axiom,
% 5.93/4.00 k!223($i!val!51) = $i!val!51).
% 5.93/4.00 tff(formula61, axiom,
% 5.93/4.00 k!223($i!val!95) = $i!val!95).
% 5.93/4.00 tff(formula62, axiom,
% 5.93/4.00 k!223($i!val!55) = $i!val!55).
% 5.93/4.00 tff(formula63, axiom,
% 5.93/4.00 k!223($i!val!16) = $i!val!16).
% 5.93/4.00 tff(formula64, axiom,
% 5.93/4.00 k!223($i!val!101) = $i!val!101).
% 5.93/4.00 tff(formula65, axiom,
% 5.93/4.00 k!223($i!val!112) = $i!val!112).
% 5.93/4.00 tff(formula66, axiom,
% 5.93/4.00 k!223($i!val!87) = $i!val!87).
% 5.93/4.00 tff(formula67, axiom,
% 5.93/4.00 k!223($i!val!35) = $i!val!35).
% 5.93/4.00 tff(formula68, axiom,
% 5.93/4.00 k!223($i!val!96) = $i!val!96).
% 5.93/4.00 tff(formula69, axiom,
% 5.93/4.00 k!223($i!val!38) = $i!val!38).
% 5.93/4.00 tff(formula70, axiom,
% 5.93/4.00 k!223($i!val!106) = $i!val!106).
% 5.93/4.00 tff(formula71, axiom,
% 5.93/4.00 k!223($i!val!130) = $i!val!130).
% 5.93/4.00 tff(formula72, axiom,
% 5.93/4.00 k!223($i!val!23) = $i!val!23).
% 5.93/4.00 tff(formula73, axiom,
% 5.93/4.00 k!223($i!val!69) = $i!val!69).
% 5.93/4.00 tff(formula74, axiom,
% 5.93/4.00 k!223($i!val!5) = $i!val!5).
% 5.93/4.00 tff(formula75, axiom,
% 5.93/4.00 k!223($i!val!67) = $i!val!67).
% 5.93/4.00 tff(formula76, axiom,
% 5.93/4.00 k!223($i!val!111) = $i!val!111).
% 5.93/4.00 tff(formula77, axiom,
% 5.93/4.00 k!223($i!val!79) = $i!val!79).
% 5.93/4.00 tff(formula78, axiom,
% 5.93/4.00 k!223($i!val!3) = $i!val!3).
% 5.93/4.00 tff(formula79, axiom,
% 5.93/4.00 k!223($i!val!56) = $i!val!56).
% 5.93/4.00 tff(formula80, axiom,
% 5.93/4.00 k!223($i!val!86) = $i!val!86).
% 5.93/4.00 tff(formula81, axiom,
% 5.93/4.00 k!223($i!val!114) = $i!val!114).
% 5.93/4.00 tff(formula82, axiom,
% 5.93/4.00 k!223($i!val!32) = $i!val!32).
% 5.93/4.00 tff(formula83, axiom,
% 5.93/4.00 k!223($i!val!61) = $i!val!61).
% 5.93/4.00 tff(formula84, axiom,
% 5.93/4.00 k!223($i!val!131) = $i!val!131).
% 5.93/4.00 tff(formula85, axiom,
% 5.93/4.00 k!223($i!val!43) = $i!val!43).
% 5.93/4.00 tff(formula86, axiom,
% 5.93/4.00 k!223($i!val!71) = $i!val!71).
% 5.93/4.00 tff(formula87, axiom,
% 5.93/4.00 ![X0: $i] : ((~((($i!val!75 = X0)) | (($i!val!102 = X0)) | (($i!val!15 = X0)) | (($i!val!44 = X0)) | (($i!val!62 = X0)) | (($i!val!72 = X0)) | (($i!val!91 = X0)) | (($i!val!78 = X0)) | (($i!val!98 = X0)) | (($i!val!82 = X0)) | (($i!val!27 = X0)) | (($i!val!1 = X0)) | (($i!val!83 = X0)) | (($i!val!31 = X0)) | (($i!val!28 = X0)) | (($i!val!39 = X0)) | (($i!val!103 = X0)) | (($i!val!48 = X0)) | (($i!val!9 = X0)) | (($i!val!0 = X0)) | (($i!val!37 = X0)) | (($i!val!4 = X0)) | (($i!val!14 = X0)) | (($i!val!129 = X0)) | (($i!val!94 = X0)) | (($i!val!70 = X0)) | (($i!val!20 = X0)) | (($i!val!52 = X0)) | (($i!val!36 = X0)) | (($i!val!113 = X0)) | (($i!val!97 = X0)) | (($i!val!47 = X0)) | (($i!val!13 = X0)) | (($i!val!68 = X0)) | (($i!val!126 = X0)) | (($i!val!19 = X0)) | (($i!val!51 = X0)) | (($i!val!95 = X0)) | (($i!val!55 = X0)) | (($i!val!16 = X0)) | (($i!val!101 = X0)) | (($i!val!112 = X0)) | (($i!val!87 = X0)) | (($i!val!35 = X0)) | (($i!val!96 = X0)) | (($i!val!38 = X0)) | (($i!val!106 = X0)) | (($i!val!130 = X0)) | (($i!val!23 = X0)) | (($i!val!69 = X0)) | (($i!val!5 = X0)) | (($i!val!67 = X0)) | (($i!val!111 = X0)) | (($i!val!79 = X0)) | (($i!val!3 = X0)) | (($i!val!56 = X0)) | (($i!val!86 = X0)) | (($i!val!114 = X0)) | (($i!val!32 = X0)) | (($i!val!61 = X0)) | (($i!val!131 = X0)) | (($i!val!43 = X0)) | (($i!val!71 = X0)))) => (k!223(X0) = $i!val!90))).
% 5.93/4.00 tff(formula88, axiom,
% 5.93/4.00 ![X0: $i] : (party_of_protocol(X0) <=> $true)).
% 5.93/4.00 tff(formula89, axiom,
% 5.93/4.00 ![X0: $i] : (generate_expiration_time(X0) = ite_t((k!223(X0) = $i!val!67), $i!val!129, ite_t((k!223(X0) = $i!val!4), $i!val!112, ite_t((k!223(X0) = $i!val!69), $i!val!70, ite_t((k!223(X0) = $i!val!23), $i!val!36, ite_t((k!223(X0) = $i!val!5), $i!val!14, $i!val!90))))))).
% 5.93/4.00 tff(formula90, axiom,
% 5.93/4.00 ![X0: $i] : (generate_key(X0) = ite_t((k!223(X0) = $i!val!5), $i!val!94, $i!val!90))).
% 5.93/4.00 % SZS output end Model
%------------------------------------------------------------------------------