TSTP Solution File: SWW956+1 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SWW956+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 : Tue May 21 06:52:08 EDT 2024

% Result   : Theorem 3.48s 1.90s
% Output   : Refutation 3.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  120
% Syntax   : Number of formulae    :  215 ( 140 unt;  27 typ;   0 def)
%            Number of atoms       :  254 ( 114 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  461 ( 112   ~;   0   |;  18   &; 283   @)
%                                         (   0 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;  14 con; 0-2 aty)
%            Number of variables   :   90 (   0   ^  90   !;   0   ?;  90   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(name_objective_type,type,
    name_objective: $i ).

thf(constr_mod_type,type,
    constr_mod: $i > $i > $i ).

thf(constr_exp_type,type,
    constr_exp: $i > $i > $i ).

thf(name_G_8_type,type,
    name_G_8: $i ).

thf(name_c_type,type,
    name_c: $i ).

thf(name_P_7_type,type,
    name_P_7: $i ).

thf(constr_CONST_0x30_type,type,
    constr_CONST_0x30: $i ).

thf(constr_CONST_2_type,type,
    constr_CONST_2: $i ).

thf(name_Nb_type,type,
    name_Nb: $i ).

thf(constr_CONST_1_type,type,
    constr_CONST_1: $i ).

thf(name_Na_type,type,
    name_Na: $i ).

thf(constr_dec_type,type,
    constr_dec: $i > $i > $i ).

thf(constr_enc_type,type,
    constr_enc: $i > $i > $i ).

thf(constr_CONST_3_type,type,
    constr_CONST_3: $i ).

thf(constr_CONST_4_type,type,
    constr_CONST_4: $i ).

thf(tuple_true_type,type,
    tuple_true: $i ).

thf(tuple_A_out_1_type,type,
    tuple_A_out_1: $i > $i > $i ).

thf(tuple_B_in_1_type,type,
    tuple_B_in_1: $i > $i > $i ).

thf(tuple_B_out_3_type,type,
    tuple_B_out_3: $i > $i ).

thf(tuple_A_out_2_type,type,
    tuple_A_out_2: $i > $i ).

thf(pred_mess_type,type,
    pred_mess: $i > $i > $o ).

thf(tuple_A_out_4_type,type,
    tuple_A_out_4: $i > $i ).

thf(tuple_B_in_2_type,type,
    tuple_B_in_2: $i > $i ).

thf(tuple_A_in_3_type,type,
    tuple_A_in_3: $i > $i ).

thf(name_new0x2Dname_type,type,
    name_new0x2Dname: $i > $i ).

thf(tuple_false_type,type,
    tuple_false: $i ).

thf(22,axiom,
    constr_CONST_4 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

thf(153,plain,
    constr_CONST_4 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(14,axiom,
    constr_CONST_1 != name_G_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

thf(129,plain,
    constr_CONST_1 != name_G_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(31,axiom,
    constr_CONST_4 != name_G_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).

thf(180,plain,
    constr_CONST_4 != name_G_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(30,axiom,
    name_Na != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

thf(177,plain,
    name_Na != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(68,axiom,
    constr_CONST_1 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

thf(277,plain,
    constr_CONST_1 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(17,axiom,
    constr_CONST_1 != constr_CONST_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

thf(138,plain,
    constr_CONST_1 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(49,axiom,
    constr_CONST_4 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

thf(234,plain,
    constr_CONST_4 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

thf(120,plain,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(64,axiom,
    constr_CONST_2 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

thf(269,plain,
    constr_CONST_2 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(29,axiom,
    constr_CONST_1 != constr_CONST_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

thf(174,plain,
    constr_CONST_1 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(59,axiom,
    name_c != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

thf(257,plain,
    name_c != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(34,axiom,
    constr_CONST_0x30 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

thf(189,plain,
    constr_CONST_0x30 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(72,axiom,
    name_Na != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

thf(284,plain,
    name_Na != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(93,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

thf(325,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(47,axiom,
    constr_CONST_2 != constr_CONST_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

thf(228,plain,
    constr_CONST_2 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(74,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_B_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

thf(289,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_B_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(88,axiom,
    pred_attacker @ tuple_false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

thf(316,plain,
    pred_attacker @ tuple_false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(43,axiom,
    name_Na != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

thf(216,plain,
    name_Na != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(91,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

thf(321,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(20,axiom,
    name_P_7 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).

thf(147,plain,
    name_P_7 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(69,axiom,
    pred_attacker @ name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).

thf(280,plain,
    pred_attacker @ name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(77,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_in_3 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).

thf(293,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_in_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(15,axiom,
    constr_CONST_3 != name_G_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

thf(132,plain,
    constr_CONST_3 != name_G_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(62,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_out_4 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).

thf(265,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_out_4 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(84,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

thf(307,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(76,axiom,
    pred_attacker @ constr_CONST_0x30,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).

thf(292,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(55,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_B_out_3 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

thf(248,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_B_out_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(10,axiom,
    constr_CONST_1 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

thf(117,plain,
    constr_CONST_1 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(38,axiom,
    constr_CONST_3 != constr_CONST_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

thf(201,plain,
    constr_CONST_3 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(5,axiom,
    name_G_8 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

thf(102,plain,
    name_G_8 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(60,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

thf(260,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(79,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_in_3 @ A ) )
     => ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ ( constr_mod @ ( constr_exp @ A @ name_Na ) @ name_P_7 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).

thf(297,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_in_3 @ A ) )
     => ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ ( constr_mod @ ( constr_exp @ A @ name_Na ) @ name_P_7 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(35,axiom,
    name_G_8 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

thf(192,plain,
    name_G_8 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(67,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ ( tuple_B_in_2 @ A ) )
        & ( pred_attacker @ ( tuple_B_in_1 @ C @ B ) ) )
     => ( pred_attacker @ ( tuple_B_out_3 @ ( constr_mod @ ( constr_exp @ B @ name_Nb ) @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).

thf(275,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ ( tuple_B_in_2 @ A ) )
        & ( pred_attacker @ ( tuple_B_in_1 @ C @ B ) ) )
     => ( pred_attacker @ ( tuple_B_out_3 @ ( constr_mod @ ( constr_exp @ B @ name_Nb ) @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(26,axiom,
    name_Na != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

thf(165,plain,
    name_Na != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(89,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_out_2 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).

thf(317,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_A_out_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(23,axiom,
    constr_CONST_2 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

thf(156,plain,
    constr_CONST_2 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(18,axiom,
    constr_CONST_1 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

thf(141,plain,
    constr_CONST_1 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(46,axiom,
    name_Nb != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

thf(225,plain,
    name_Nb != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_mod @ ( constr_exp @ ( constr_exp @ A @ C ) @ D ) @ B )
      = ( constr_mod @ ( constr_exp @ ( constr_exp @ A @ D ) @ C ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).

thf(96,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_mod @ ( constr_exp @ ( constr_exp @ A @ C ) @ D ) @ B )
      = ( constr_mod @ ( constr_exp @ ( constr_exp @ A @ D ) @ C ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(50,axiom,
    constr_CONST_0x30 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

thf(237,plain,
    constr_CONST_0x30 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(6,axiom,
    constr_CONST_0x30 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

thf(105,plain,
    constr_CONST_0x30 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(86,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_out_4 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).

thf(311,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_out_4 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(75,axiom,
    pred_attacker @ constr_CONST_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

thf(291,plain,
    pred_attacker @ constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(70,axiom,
    pred_attacker @ constr_CONST_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).

thf(281,plain,
    pred_attacker @ constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(39,axiom,
    constr_CONST_3 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

thf(204,plain,
    constr_CONST_3 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(87,axiom,
    name_Nb != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

thf(313,plain,
    name_Nb != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(19,axiom,
    name_G_8 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

thf(144,plain,
    name_G_8 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(24,axiom,
    constr_CONST_4 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

thf(159,plain,
    constr_CONST_4 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(44,axiom,
    constr_CONST_0x30 != constr_CONST_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

thf(219,plain,
    constr_CONST_0x30 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(66,axiom,
    pred_attacker @ constr_CONST_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

thf(274,plain,
    pred_attacker @ constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(54,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).

thf(245,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(82,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_B_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).

thf(303,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_B_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(92,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).

thf(323,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(42,axiom,
    constr_CONST_2 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

thf(213,plain,
    constr_CONST_2 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(37,axiom,
    constr_CONST_3 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).

thf(198,plain,
    constr_CONST_3 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(7,axiom,
    constr_CONST_2 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

thf(108,plain,
    constr_CONST_2 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(51,axiom,
    pred_attacker @ constr_CONST_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).

thf(240,plain,
    pred_attacker @ constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(57,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

thf(251,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(16,axiom,
    constr_CONST_2 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

thf(135,plain,
    constr_CONST_2 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(80,axiom,
    pred_attacker @ ( tuple_A_out_1 @ name_P_7 @ name_G_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

thf(299,plain,
    pred_attacker @ ( tuple_A_out_1 @ name_P_7 @ name_G_8 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(63,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_mod @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

thf(267,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_mod @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(52,axiom,
    pred_attacker @ tuple_true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

thf(241,plain,
    pred_attacker @ tuple_true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(25,axiom,
    constr_CONST_2 != constr_CONST_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

thf(162,plain,
    constr_CONST_2 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(12,axiom,
    constr_CONST_0x30 != name_G_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

thf(123,plain,
    constr_CONST_0x30 != name_G_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(78,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

thf(295,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_B_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(71,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

thf(282,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_A_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(21,axiom,
    constr_CONST_1 != constr_CONST_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

thf(150,plain,
    constr_CONST_1 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(1,conjecture,
    pred_attacker @ name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

thf(2,negated_conjecture,
    ~ ( pred_attacker @ name_objective ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(95,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(94,axiom,
    constr_CONST_3 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).

thf(327,plain,
    constr_CONST_3 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(4,axiom,
    name_G_8 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

thf(99,plain,
    name_G_8 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(56,axiom,
    pred_attacker @ ( tuple_A_out_2 @ ( constr_mod @ ( constr_exp @ name_G_8 @ name_Na ) @ name_P_7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).

thf(250,plain,
    pred_attacker @ ( tuple_A_out_2 @ ( constr_mod @ ( constr_exp @ name_G_8 @ name_Na ) @ name_P_7 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(48,axiom,
    constr_CONST_0x30 != constr_CONST_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

thf(231,plain,
    constr_CONST_0x30 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(90,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).

thf(319,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(33,axiom,
    constr_CONST_1 != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

thf(186,plain,
    constr_CONST_1 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(9,axiom,
    constr_CONST_2 != name_G_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

thf(114,plain,
    constr_CONST_2 != name_G_8,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(28,axiom,
    constr_CONST_3 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).

thf(171,plain,
    constr_CONST_3 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(40,axiom,
    constr_CONST_3 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).

thf(207,plain,
    constr_CONST_3 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(65,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).

thf(272,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(73,axiom,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).

thf(287,plain,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(81,axiom,
    constr_CONST_4 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

thf(300,plain,
    constr_CONST_4 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(32,axiom,
    constr_CONST_4 != name_Na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).

thf(183,plain,
    constr_CONST_4 != name_Na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(27,axiom,
    constr_CONST_0x30 != constr_CONST_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

thf(168,plain,
    constr_CONST_0x30 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(61,axiom,
    name_G_8 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).

thf(262,plain,
    name_G_8 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_B_in_2 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).

thf(305,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_B_in_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(41,axiom,
    constr_CONST_0x30 != name_P_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

thf(210,plain,
    constr_CONST_0x30 != name_P_7,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(53,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).

thf(242,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_A_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(13,axiom,
    constr_CONST_0x30 != constr_CONST_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).

thf(126,plain,
    constr_CONST_0x30 != constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(36,axiom,
    constr_CONST_1 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

thf(195,plain,
    constr_CONST_1 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(8,axiom,
    constr_CONST_0x30 != name_Nb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

thf(111,plain,
    constr_CONST_0x30 != name_Nb,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(58,axiom,
    name_P_7 != name_objective,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).

thf(254,plain,
    name_P_7 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(85,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_exp @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

thf(309,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_exp @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(45,axiom,
    name_Nb != name_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).

thf(222,plain,
    name_Nb != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(330,plain,
    $false,
    inference(e,[status(thm)],[153,129,180,177,277,138,234,120,269,174,257,189,284,325,228,289,316,216,321,147,280,293,132,265,307,292,248,117,201,102,260,297,192,275,165,317,156,141,225,96,237,105,311,291,281,204,313,144,159,219,274,245,303,323,213,198,108,240,251,135,299,267,241,162,123,295,282,150,95,327,99,250,231,319,186,114,171,207,272,287,300,183,168,262,305,210,242,126,195,111,254,309,222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWW956+1 : TPTP v8.2.0. Released v7.4.0.
% 0.05/0.11  % Command  : run_Leo-III %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sat May 18 19:07:38 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.82/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.03/0.91  % [INFO] 	 Parsing done (135ms). 
% 1.03/0.92  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 93 axioms. Running axiom selection ... 
% 1.86/1.29  % [INFO] 	 Axiom selection finished. Selected 92 axioms (removed 1 axioms). 
% 2.09/1.34  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.09/1.34  % [INFO] 	 Type checking passed. 
% 2.09/1.35  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.48/1.90  % External prover 'e' found a proof!
% 3.48/1.90  % [INFO] 	 Killing All external provers ... 
% 3.48/1.90  % Time passed: 1480ms (effective reasoning time: 973ms)
% 3.48/1.90  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.48/1.90  % Axioms used in derivation (92): ax74, ax13, ax72, ax37, ax14, ax12, ax53, ax79, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax90, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax85, ax35, ax58, ax69, ax78, ax39, ax89, ax27, ax66, ax8, ax91, ax73, ax51, ax48, ax21, ax88, ax62, ax10, ax55, ax32, ax16, ax80, ax59, ax1, ax7, ax77, ax38, ax44, ax84, ax92, ax33, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax75
% 3.48/1.90  % No. of inferences in proof: 188
% 3.48/1.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1480 ms resp. 973 ms w/o parsing
% 3.88/1.96  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.88/1.96  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------