TSTP Solution File: SWV317-1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWV317-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 7 10:57:49 EDT 2024
% Result : Unsatisfiable 53.57s 9.72s
% Output : Refutation 53.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 25 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 85 ( 8 ~; 6 |; 0 &; 71 @)
% ( 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 : 13 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_evs3_type,type,
v_evs3: $i ).
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(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_Public_OshrK_type,type,
c_Public_OshrK: $i > $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(2,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(440,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)],[2]) ).
thf(445,plain,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
inference(polarity_switch,[status(thm)],[440]) ).
thf(8,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(443,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)],[8]) ).
thf(446,plain,
( ( ( c_Public_OshrK @ v_A )
= v_KAB )
| ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
inference(cnf,[status(esa)],[443]) ).
thf(447,plain,
( ( ( c_Public_OshrK @ v_A )
= v_KAB )
| ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
inference(lifteq,[status(thm)],[446]) ).
thf(4,negated_conjecture,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(444,plain,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(449,plain,
~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
inference(polarity_switch,[status(thm)],[444]) ).
thf(1501,plain,
( ( ( c_Public_OshrK @ v_A )
= v_KAB )
| $false ),
inference(rewrite,[status(thm)],[447,449]) ).
thf(1502,plain,
( ( c_Public_OshrK @ v_A )
= v_KAB ),
inference(simp,[status(thm)],[1501]) ).
thf(312,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(1185,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)],[312]) ).
thf(4636,plain,
! [B: $i,A: $i] :
( ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg )
| ( ( c_Public_OshrK @ v_A )
!= ( c_Public_OshrK @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1502,1185]) ).
thf(4637,plain,
! [A: $i] : ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ A ) @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[4636:[bind(A,$thf( v_A ))]]) ).
thf(4670,plain,
! [A: $i] : ( c_in @ ( c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ A ) @ tc_Message_Omsg ),
inference(simp,[status(thm)],[4637]) ).
thf(4677,plain,
~ $true,
inference(rewrite,[status(thm)],[445,4670]) ).
thf(4678,plain,
$false,
inference(simp,[status(thm)],[4677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWV317-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n026.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 : Tue May 7 00:28:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.89/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.40/1.28 % [INFO] Parsing done (442ms).
% 2.40/1.29 % [INFO] Running in sequential loop mode.
% 3.12/1.57 % [INFO] nitpick registered as external prover.
% 3.12/1.58 % [INFO] Scanning for conjecture ...
% 4.17/1.85 % [INFO] Found a conjecture and 2937 axioms. Running axiom selection ...
% 5.42/2.21 % [INFO] Axiom selection finished. Selected 428 axioms (removed 2509 axioms).
% 6.00/2.35 % [INFO] Problem is propositional (TPTP CNF).
% 6.00/2.37 % [INFO] Type checking passed.
% 6.00/2.37 % [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 ...
% 53.57/9.71 % [INFO] Killing All external provers ...
% 53.57/9.72 % Time passed: 9248ms (effective reasoning time: 8422ms)
% 53.57/9.72 % 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)>
% 53.57/9.72 % Axioms used in derivation (1): cls_Public_OshrK__in__used_0
% 53.57/9.72 % No. of inferences in proof: 19
% 53.57/9.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9248 ms resp. 8422 ms w/o parsing
% 53.61/9.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.61/9.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------