TSTP Solution File: SWV289-2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SWV289-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 05:44:28 EDT 2024
% Result : Unsatisfiable 3.06s 1.70s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 37
% Syntax : Number of formulae : 47 ( 15 unt; 28 typ; 0 def)
% Number of atoms : 37 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 446 ( 18 ~; 18 |; 0 &; 410 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 28 usr; 16 con; 0-3 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_type,type,
v_B: $i ).
thf(c_Message_Oagent_OServer_type,type,
c_Message_Oagent_OServer: $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_OAgent_type,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(v_A_type,type,
v_A: $i ).
thf(v_X_H_type,type,
v_X_H: $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_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_OGets_type,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(v_X_type,type,
v_X: $i ).
thf(c_Message_Omsg_OKey_type,type,
c_Message_Omsg_OKey: $i > $i ).
thf(v_K_type,type,
v_K: $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(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_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(5,negated_conjecture,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(10,plain,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(14,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)],[7]) ).
thf(8,axiom,
! [H: $i,G: $i,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_OGets @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OKey @ F ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) ) ) ) ) ) ) @ ( 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 @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ G ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OKey @ F ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OKey @ F ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OB__trusts__OR3__dest_0) ).
thf(20,plain,
! [H: $i,G: $i,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_OGets @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ D @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OKey @ F ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ B ) @ ( c_Message_Omsg_OMPair @ H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ G ) @ ( c_Message_Omsg_OAgent @ B ) ) ) ) ) ) ) ) ) ) @ ( 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 @ c_Message_Oagent_OServer @ B @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ G ) @ ( c_Message_Omsg_OMPair @ C @ ( c_Message_Omsg_OKey @ F ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ B ) @ ( c_Message_Omsg_OMPair @ E @ ( c_Message_Omsg_OKey @ F ) ) ) ) ) ) @ ( c_List_Oset @ A @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_X @ ( 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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(13,plain,
c_in @ ( c_Event_Oevent_OGets @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_X @ ( 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)],[2]) ).
thf(9,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/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0) ).
thf(22,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)],[9]) ).
thf(6,negated_conjecture,
c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(12,plain,
c_in @ v_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(16,plain,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
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 @ v_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( 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_0) ).
thf(11,plain,
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 @ v_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_NB @ ( 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)],[1]) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(15,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)],[3]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[10,14,20,13,22,12,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV289-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 08:52:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.97/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.02 % [INFO] Parsing done (124ms).
% 1.22/1.03 % [INFO] Running in sequential loop mode.
% 1.74/1.25 % [INFO] eprover registered as external prover.
% 1.74/1.25 % [INFO] cvc4 registered as external prover.
% 1.81/1.25 % [INFO] Scanning for conjecture ...
% 2.01/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.01/1.35 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.01/1.37 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.37 % [INFO] Type checking passed.
% 2.16/1.37 % [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 ...
% 3.06/1.70 % External prover 'e' found a proof!
% 3.06/1.70 % [INFO] Killing All external provers ...
% 3.06/1.70 % Time passed: 1187ms (effective reasoning time: 663ms)
% 3.06/1.70 % Axioms used in derivation (2): cls_OtwayRees_OB__trusts__OR3__dest_0, cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0
% 3.06/1.70 % No. of inferences in proof: 19
% 3.06/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1187 ms resp. 663 ms w/o parsing
% 3.06/1.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.06/1.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------