TSTP Solution File: SWV331-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 12:15:10 EDT 2023
% Result : Unsatisfiable 2.41s 1.52s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 31 ( 9 unt; 18 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 126 ( 12 ~; 10 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_evs3_type,type,
v_evs3: $i ).
thf(c_Yahalom_Oyahalom_type,type,
c_Yahalom_Oyahalom: $i ).
thf(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
thf(tc_Event_Oevent_type,type,
tc_Event_Oevent: $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_Oused_type,type,
c_Event_Oused: $i > $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_Message_OsymKeys_type,type,
c_Message_OsymKeys: $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
thf(c_Message_Omsg_OCrypt_type,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(c_Message_Omsg_ONonce_type,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(v_NB_type,type,
v_NB: $i ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(c_Event_Oknows_type,type,
c_Event_Oknows: $i > $i > $i ).
thf(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: $i ).
thf(c_Message_OkeysFor_type,type,
c_Message_OkeysFor: $i > $i ).
thf(4,negated_conjecture,
c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(10,plain,
c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ tc_Message_Omsg,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) ) @ tc_nat )
| ~ ( c_in @ A @ c_Message_OsymKeys @ tc_nat )
| ~ ( c_in @ B @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Onew__keys__not__used_0) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ B ) ) ) @ tc_nat )
| ~ ( c_in @ A @ c_Message_OsymKeys @ tc_nat )
| ~ ( c_in @ B @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
c_in @ v_K @ c_Message_OsymKeys @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(9,plain,
c_in @ v_K @ c_Message_OsymKeys @ tc_nat,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ c_Message_OsymKeys @ tc_nat )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_OkeysFor @ C ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ c_Message_OsymKeys @ tc_nat )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ A @ B ) @ C @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_OkeysFor @ C ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
c_in @ v_evs3 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
c_in @ v_evs3 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,plain,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
$false,
inference(cvc4,[status(thm)],[10,14,9,12,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n008.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 02:38:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.91/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.95 % [INFO] Parsing done (116ms).
% 1.16/0.96 % [INFO] Running in sequential loop mode.
% 1.57/1.15 % [INFO] eprover registered as external prover.
% 1.57/1.16 % [INFO] cvc4 registered as external prover.
% 1.57/1.16 % [INFO] Scanning for conjecture ...
% 1.66/1.21 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.81/1.23 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.81/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.24 % [INFO] Type checking passed.
% 1.81/1.25 % [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 ...
% 2.41/1.52 % External prover 'cvc4' found a proof!
% 2.41/1.52 % [INFO] Killing All external provers ...
% 2.41/1.52 % Time passed: 1006ms (effective reasoning time: 558ms)
% 2.41/1.52 % 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)>
% 2.41/1.52 % Axioms used in derivation (2): cls_Yahalom_Onew__keys__not__used_0, cls_Public_OCrypt__imp__keysFor_0
% 2.41/1.52 % No. of inferences in proof: 13
% 2.41/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1006 ms resp. 558 ms w/o parsing
% 2.63/1.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.63/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------