%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV317-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n027.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 : Fri May 19 12:15:03 EDT 2023

% Result   : Unsatisfiable 2.43s 1.57s
% Output   : Refutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   19 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   11 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (   4   ~;   2   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(c_Message_Omsg_OKey_type,type,
    c_Message_Omsg_OKey: $i > $i ).

thf(v_KAB_type,type,
    v_KAB: $i ).

thf(c_Event_Oused_type,type,
    c_Event_Oused: $i > $i ).

thf(v_evs3_type,type,
    v_evs3: $i ).

thf(tc_Message_Omsg_type,type,
    tc_Message_Omsg: $i ).

thf(v_A_type,type,
    v_A: $i ).

thf(c_Event_Obad_type,type,
    c_Event_Obad: $i ).

thf(tc_Message_Oagent_type,type,
    tc_Message_Oagent: $i ).

thf(c_Public_OshrK_type,type,
    c_Public_OshrK: $i > $i ).

thf(1,negated_conjecture,
    ~ ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(5,plain,
    ~ ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(6,plain,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ( ( ( c_Public_OshrK @ v_A )
      = v_KAB )
    | ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

thf(7,plain,
    ( ( ( c_Public_OshrK @ v_A )
      = v_KAB )
    | ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [B: $i,A: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).

thf(12,plain,
    ! [B: $i,A: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ A ) ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(13,plain,
    $false,
    inference(e,[status(thm)],[5,6,7,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV317-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri May 19 02:40:22 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 1.01/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.13/0.98  % [INFO] 	 Parsing done (108ms). 
% 1.13/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.63/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.63/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.27  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 1.76/1.29  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.76/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.76/1.29  % [INFO] 	 Type checking passed. 
% 1.76/1.30  % [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 ... 
% 2.43/1.57  % External prover 'e' found a proof!
% 2.43/1.57  % [INFO] 	 Killing All external provers ... 
% 2.43/1.57  % Time passed: 1045ms (effective reasoning time: 576ms)
% 2.43/1.57  % 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)>
% 2.43/1.57  % Axioms used in derivation (1): cls_Public_OshrK__in__used_0
% 2.43/1.57  % No. of inferences in proof: 9
% 2.43/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1045 ms resp. 576 ms w/o parsing
% 2.66/1.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.66/1.61  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------