TSTP Solution File: SWV286-2 by Leo-III---1.7.7

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n012.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 12:14:47 EDT 2023

% Result   : Unsatisfiable 3.16s 1.68s
% Output   : Refutation 3.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   39 (  13 unt;  22 typ;   0 def)
%            Number of atoms       :   31 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  474 (  16   ~;  14   |;   0   &; 444   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  22 usr;  12 con; 0-5 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

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

thf(c_Event_Oevent_OSays_type,type,
    c_Event_Oevent_OSays: $i > $i > $i > $i ).

thf(v_B_H_type,type,
    v_B_H: $i ).

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

thf(c_Message_Omsg_OMPair_type,type,
    c_Message_Omsg_OMPair: $i > $i > $i ).

thf(v_NA_type,type,
    v_NA: $i ).

thf(c_Message_Omsg_OCrypt_type,type,
    c_Message_Omsg_OCrypt: $i > $i > $i ).

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

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

thf(v_K_type,type,
    v_K: $i ).

thf(c_List_Oset_type,type,
    c_List_Oset: $i > $i > $i ).

thf(v_evs_type,type,
    v_evs: $i ).

thf(tc_Event_Oevent_type,type,
    tc_Event_Oevent: $i ).

thf(v_B_type,type,
    v_B: $i ).

thf(c_Message_Omsg_OAgent_type,type,
    c_Message_Omsg_OAgent: $i > $i ).

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

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

thf(c_OtwayRees_Ootway_type,type,
    c_OtwayRees_Ootway: $i ).

thf(tc_List_Olist_type,type,
    tc_List_Olist: $i > $i ).

thf(c_Message_Oagent_OServer_type,type,
    c_Message_Oagent_OServer: $i ).

thf(v_sko__u8o_type,type,
    v_sko__u8o: $i > $i > $i > $i > $i > $i ).

thf(v_sko__vEb_type,type,
    v_sko__vEb: $i > $i > $i > $i > $i > $i ).

thf(1,negated_conjecture,
    c_in @ ( c_Event_Oevent_OSays @ v_B_H @ v_A @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(10,plain,
    c_in @ ( c_Event_Oevent_OSays @ v_B_H @ v_A @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,negated_conjecture,
    ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(14,plain,
    ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(8,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OKey @ E ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ ( c_Event_Oevent_OSays @ B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vEb @ D @ B @ C @ F @ A ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OOR3__imp__OR2__dest_0) ).

thf(20,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ D ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OKey @ E ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ ( c_Event_Oevent_OSays @ B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vEb @ D @ B @ C @ F @ A ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ D ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(5,negated_conjecture,
    c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(9,plain,
    c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(3,negated_conjecture,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(13,plain,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,negated_conjecture,
    c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(12,plain,
    c_in @ ( c_Event_Oevent_OSays @ v_A @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ B @ C @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ C @ F @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OAgent @ F ) ) ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ F @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OKey @ E ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ F ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u8o @ C @ F @ E @ D @ A ) @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OA__trusts__OR4__dest_0) ).

thf(18,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ B @ C @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ~ ( c_in @ ( c_Event_Oevent_OSays @ C @ F @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ F ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ C ) @ ( c_Message_Omsg_OAgent @ F ) ) ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ( c_in @ C @ c_Event_Obad @ tc_Message_Oagent )
      | ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ F @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ C ) @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OKey @ E ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ F ) @ ( c_Message_Omsg_OMPair @ ( v_sko__u8o @ C @ F @ E @ D @ A ) @ ( c_Message_Omsg_OKey @ E ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(6,negated_conjecture,
    ! [B: $i,A: $i] :
      ~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ A @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

thf(11,plain,
    ! [B: $i,A: $i] :
      ~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ A @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(26,plain,
    $false,
    inference(e,[status(thm)],[10,14,20,9,13,12,18,11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 02:46:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.92/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.28/1.01  % [INFO] 	 Parsing done (127ms). 
% 1.28/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.63/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.81/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.95/1.29  % [INFO] 	 Found a conjecture and 2 axioms. Running axiom selection ... 
% 1.95/1.32  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.95/1.34  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.95/1.34  % [INFO] 	 Type checking passed. 
% 1.95/1.34  % [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 ... 
% 3.16/1.68  % External prover 'e' found a proof!
% 3.16/1.68  % [INFO] 	 Killing All external provers ... 
% 3.16/1.68  % Time passed: 1161ms (effective reasoning time: 659ms)
% 3.16/1.68  % 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)>
% 3.16/1.68  % Axioms used in derivation (2): cls_OtwayRees_OOR3__imp__OR2__dest_0, cls_OtwayRees_OA__trusts__OR4__dest_0
% 3.16/1.68  % No. of inferences in proof: 17
% 3.16/1.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1161 ms resp. 659 ms w/o parsing
% 3.43/1.77  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.43/1.77  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------