TSTP Solution File: SWV331-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 Aug 31 21:37:58 EDT 2023
% Result : Unsatisfiable 0.17s 0.59s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 32 ( 10 unt; 18 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 9 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_evs3: $i ).
tff(decl_23,type,
c_Yahalom_Oyahalom: $i ).
tff(decl_24,type,
tc_Event_Oevent: $i ).
tff(decl_25,type,
tc_List_Olist: $i > $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
v_K: $i ).
tff(decl_28,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_29,type,
c_Event_Oused: $i > $i ).
tff(decl_30,type,
tc_Message_Omsg: $i ).
tff(decl_31,type,
c_Message_OsymKeys: $i ).
tff(decl_32,type,
tc_nat: $i ).
tff(decl_33,type,
v_NB: $i ).
tff(decl_34,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_35,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_36,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_37,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Message_Oparts: $i > $i ).
tff(decl_39,type,
c_Message_OkeysFor: $i > $i ).
cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).
cnf(cls_conjecture_5,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) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Onew__keys__not__used_0) ).
cnf(cls_conjecture_0,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) ).
cnf(cls_conjecture_1,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) ).
cnf(c_0_6,axiom,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
cls_Public_OCrypt__imp__keysFor_0 ).
cnf(c_0_7,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),
cls_conjecture_5 ).
cnf(c_0_8,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_2 ).
cnf(c_0_9,axiom,
( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
cls_Yahalom_Onew__keys__not__used_0 ).
cnf(c_0_10,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
cls_conjecture_1 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_8])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34 % Computer : n027.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 29 08:03:38 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 0.17/0.59 % Version : CSE_E---1.5
% 0.17/0.59 % Problem : theBenchmark.p
% 0.17/0.59 % Proof found
% 0.17/0.59 % SZS status Theorem for theBenchmark.p
% 0.17/0.59 % SZS output start Proof
% See solution above
% 0.17/0.59 % Total time : 0.003000 s
% 0.17/0.59 % SZS output end Proof
% 0.17/0.59 % Total time : 0.005000 s
%------------------------------------------------------------------------------