%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SWW970+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n025.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 : Mon Jun 24 18:26:18 EDT 2024

% Result   : Theorem 64.62s 10.52s
% Output   : Refutation 64.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  125 (  12   ~;  10   |;   3   &;  93   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^  20   !;   1   ?;  21   :)

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

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

thf(name_A_type,type,
    name_A: $i ).

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

thf(name_Kbs_type,type,
    name_Kbs: $i ).

thf(pred_eq_bitstring_bitstring_type,type,
    pred_eq_bitstring_bitstring: $i > $i > $o ).

thf(constr_cbc_dec_3_type,type,
    constr_cbc_dec_3: $i > $i > $i ).

thf(constr_tuple_3_get_0x30_type,type,
    constr_tuple_3_get_0x30: $i > $i ).

thf(tuple_client_B_out_2_type,type,
    tuple_client_B_out_2: $i > $i ).

thf(tuple_client_B_in_1_type,type,
    tuple_client_B_in_1: $i > $i ).

thf(72,axiom,
    pred_attacker @ constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).

thf(347,plain,
    pred_attacker @ constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(92,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

thf(392,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(393,plain,
    ! [A: $i] :
      ( ~ ( pred_attacker @ A )
      | ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
    inference(cnf,[status(esa)],[392]) ).

thf(7228,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
      | ( ( pred_attacker @ constr_CONST_3 )
       != ( pred_attacker @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[347,393]) ).

thf(7229,plain,
    pred_attacker @ ( tuple_client_B_in_1 @ constr_CONST_3 ),
    inference(pattern_uni,[status(thm)],[7228:[bind(A,$thf( constr_CONST_3 ))]]) ).

thf(81,axiom,
    ! [A: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_3_get_0x30 @ ( constr_cbc_dec_3 @ A @ name_Kbs ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

thf(363,plain,
    ! [A: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_3_get_0x30 @ ( constr_cbc_dec_3 @ A @ name_Kbs ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(364,plain,
    ( ? [A: $i] :
        ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_3_get_0x30 @ ( constr_cbc_dec_3 @ A @ name_Kbs ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) )
   => ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    inference(miniscope,[status(thm)],[363]) ).

thf(365,plain,
    ! [A: $i] :
      ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_3_get_0x30 @ ( constr_cbc_dec_3 @ A @ name_Kbs ) ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
      | ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    inference(cnf,[status(esa)],[364]) ).

thf(37,axiom,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

thf(243,plain,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(244,plain,
    ! [B: $i,A: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    inference(cnf,[status(esa)],[243]) ).

thf(2421,plain,
    ! [A: $i] :
      ( ~ $true
      | ~ ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
      | ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    inference(rewrite,[status(thm)],[365,244]) ).

thf(2422,plain,
    ! [A: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
      | ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) ) ),
    inference(simp,[status(thm)],[2421]) ).

thf(7731,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) )
      | ( ( pred_attacker @ ( tuple_client_B_in_1 @ constr_CONST_3 ) )
       != ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ) ),
    inference(paramod_ordered,[status(thm)],[7229,2422]) ).

thf(7732,plain,
    pred_attacker @ ( tuple_client_B_out_2 @ name_objective ),
    inference(pattern_uni,[status(thm)],[7731:[bind(A,$thf( constr_CONST_3 ))]]) ).

thf(110,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

thf(431,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(432,plain,
    ! [A: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_B_out_2 @ A ) )
      | ( pred_attacker @ A ) ),
    inference(cnf,[status(esa)],[431]) ).

thf(17401,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
      | ( ( pred_attacker @ ( tuple_client_B_out_2 @ name_objective ) )
       != ( pred_attacker @ ( tuple_client_B_out_2 @ A ) ) ) ),
    inference(paramod_ordered,[status(thm)],[7732,432]) ).

thf(17402,plain,
    pred_attacker @ name_objective,
    inference(pattern_uni,[status(thm)],[17401:[bind(A,$thf( name_objective ))]]) ).

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

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

thf(140,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17533,plain,
    $false,
    inference(rewrite,[status(thm)],[17402,140]) ).

thf(17534,plain,
    $false,
    inference(simp,[status(thm)],[17533]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW970+1 : TPTP v8.2.0. Released v7.4.0.
% 0.10/0.12  % Command  : run_Leo-III %s %d SAT
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jun 19 07:06:25 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.87/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.18/0.99  % [INFO] 	 Parsing done (133ms). 
% 1.18/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.82/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.82/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.96/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 138 axioms. Running axiom selection ... 
% 1.96/1.31  % [INFO] 	 Axiom selection finished. Selected 137 axioms (removed 1 axioms). 
% 2.43/1.38  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.43/1.40  % [INFO] 	 Type checking passed. 
% 2.43/1.40  % [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 ... 
% 64.62/10.51  % [INFO] 	 Killing All external provers ... 
% 64.62/10.51  % Time passed: 9984ms (effective reasoning time: 9515ms)
% 64.62/10.51  % 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)>
% 64.62/10.52  % Axioms used in derivation (5): ax94, ax135, ax93, ax111, ax79
% 64.62/10.52  % No. of inferences in proof: 28
% 64.62/10.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 9984 ms resp. 9515 ms w/o parsing
% 64.62/10.53  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 64.62/10.53  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------