TSTP Solution File: SWV314-2 by Leo-III---1.7.0

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```%------------------------------------------------------------------------------
% File     : Leo-III---1.7.0
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 14:03:24 EDT 2022

% Result   : Unsatisfiable 3.09s 2.16s
% Output   : Refutation 3.36s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   39 (  13 unt;  24 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  234 (  12   ~;  10   |;   0   &; 212   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  24 usr;  14 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^  12   !;   0   ?;  12   :)

%------------------------------------------------------------------------------
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(c_Message_Oagent_OServer_type,type,
c_Message_Oagent_OServer: \$i ).

thf(v_B_type,type,
v_B: \$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(v_A_type,type,
v_A: \$i ).

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

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

thf(v_NB_type,type,
v_NB: \$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(c_Event_Oevent_ONotes_type,type,
c_Event_Oevent_ONotes: \$i > \$i > \$i ).

thf(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: \$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_Oanalz_type,type,
c_Message_Oanalz: \$i > \$i ).

thf(c_Event_Oknows_type,type,
c_Event_Oknows: \$i > \$i > \$i ).

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

thf(6,negated_conjecture,
c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

thf(10,plain,
c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @ tc_Message_Omsg,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(9,plain,
c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(13,plain,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

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 @ 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 @ ( c_Message_Omsg_OKey @ E ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) ) @ tc_Message_Omsg )
| ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ F @ ( c_Message_Omsg_OKey @ E ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

thf(17,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 @ ( c_Message_Omsg_OKey @ E ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ A ) ) @ tc_Message_Omsg )
| ( c_in @ B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ D @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ F @ ( 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(3,negated_conjecture,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(12,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_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(11,plain,
~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( 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)],[2]) ).

thf(5,negated_conjecture,
c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(8,plain,
c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(19,plain,
\$false,
inference(e,[status(thm)],[10,9,13,17,12,11,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun Sep  4 02:23:15 EDT 2022
% 0.11/0.32  % CPUTime  :
% 0.99/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.12  % [INFO] 	 Parsing done (178ms).
% 1.37/1.13  % [INFO] 	 Running in sequential loop mode.
% 1.82/1.49  % [INFO] 	 eprover registered as external prover.
% 1.82/1.49  % [INFO] 	 cvc4 registered as external prover.
% 1.82/1.50  % [INFO] 	 Scanning for conjecture ...
% 2.04/1.61  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ...
% 2.04/1.65  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.67  % [INFO] 	 Problem is propositional (TPTP CNF).
% 2.19/1.67  % [INFO] 	 Type checking passed.
% 2.19/1.68  % [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 ...
% 3.09/2.16  % External prover 'e' found a proof!
% 3.09/2.16  % [INFO] 	 Killing All external provers ...
% 3.09/2.16  % Time passed: 1716ms (effective reasoning time: 1023ms)
% 3.09/2.16  % 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)>
% 3.09/2.16  % Axioms used in derivation (1): cls_OtwayRees_Osecrecy__lemma__dest_0
% 3.09/2.16  % No. of inferences in proof: 15
% 3.09/2.16  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1716 ms resp. 1023 ms w/o parsing
% 3.36/2.22  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.36/2.23  % [INFO] 	 Killing All external provers ...
%------------------------------------------------------------------------------
```