TSTP Solution File: SWV346-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 : 600s
% DateTime : Wed Jul 20 20:11:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 30
% Syntax : Number of formulae : 68 ( 35 unt; 24 typ; 0 def)
% Number of atoms : 220 ( 82 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1307 ( 59 ~; 66 |; 0 &;1182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 16 con; 0-3 aty)
% Number of variables : 264 ( 0 ^ 264 !; 0 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
thf(tp_c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(tp_c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(tp_c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
thf(tp_c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(tp_c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
thf(tp_c_Yahalom_Oyahalom,type,
c_Yahalom_Oyahalom: $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_List_Olist,type,
tc_List_Olist: $i > $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_Aa,type,
v_Aa: $i ).
thf(tp_v_B,type,
v_B: $i ).
thf(tp_v_Ba,type,
v_Ba: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_NA,type,
v_NA: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evso,type,
v_evso: $i ).
thf(tp_v_na,type,
v_na: $i ).
thf(tp_v_nb,type,
v_nb: $i ).
thf(1,axiom,
! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_na = V_na_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).
thf(2,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(3,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,negated_conjecture,
v_na
!= ( c_Message_Omsg_ONonce @ v_NA ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(5,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ v_na @ v_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(6,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(7,negated_conjecture,
c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(8,plain,
$false = $false,
inference(unfold_def,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_na = V_na_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ( v_na
!= ( c_Message_Omsg_ONonce @ v_NA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(11,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ v_na @ v_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(12,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(13,plain,
( ( c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_nb: $i,V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_na = V_na_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(16,plain,
( ( ( v_na
!= ( c_Message_Omsg_ONonce @ v_NA ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(17,plain,
( ( c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(18,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ v_na @ v_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(20,plain,
( ( ( v_na
!= ( c_Message_Omsg_ONonce @ v_NA ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_na_H: $i,V_nb_H: $i,V_X_H: $i,V_A: $i,V_B: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @ V_X_H ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_nb: $i,V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_na = V_na_H ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(23,plain,
( ( v_na
= ( c_Message_Omsg_ONonce @ v_NA ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i] :
( ( ! [SY12: $i,SY13: $i,SY14: $i,SY15: $i,SY16: $i,SY17: $i,SY18: $i,SY19: $i,SY20: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY12 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY12 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY13 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY14 ) @ ( c_Message_Omsg_OMPair @ SY15 @ SY16 ) ) ) ) @ SY17 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY21: $i,SY22: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY18 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY18 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY14 ) @ ( c_Message_Omsg_OMPair @ SY20 @ SY21 ) ) ) ) @ SY22 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY20 = SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY23: $i,SY24: $i,SY25: $i,SY26: $i,SY27: $i,SY28: $i,SY29: $i,SY30: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY23 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY24 ) @ ( c_Message_Omsg_OMPair @ SY25 @ SY26 ) ) ) ) @ SY27 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY21: $i,SY22: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY28 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY29 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY24 ) @ ( c_Message_Omsg_OMPair @ SY30 @ SY21 ) ) ) ) @ SY22 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY30 = SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY33: $i,SY34: $i,SY35: $i,SY36: $i,SY37: $i,SY38: $i,SY39: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY33 ) @ ( c_Message_Omsg_OMPair @ SY34 @ SY35 ) ) ) ) @ SY36 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY21: $i,SY22: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY37 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY37 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY33 ) @ ( c_Message_Omsg_OMPair @ SY39 @ SY21 ) ) ) ) @ SY22 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY39 = SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY42: $i,SY43: $i,SY44: $i,SY45: $i,SY46: $i,SY47: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY42 @ SY43 ) ) ) ) @ SY44 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY48: $i,SY49: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY45 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY45 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY46 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY47 @ SY48 ) ) ) ) @ SY49 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY47 = SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(29,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY50: $i,SY51: $i,SY52: $i,SY53: $i,SY54: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SY50 ) ) ) ) @ SY51 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY48: $i,SY49: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY52 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY52 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY53 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY54 @ SY48 ) ) ) ) @ SY49 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY54 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(30,plain,
! [SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i,SY60: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SY57 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY48: $i,SY49: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY58 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY58 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY59 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY60 @ SY48 ) ) ) ) @ SY49 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY60 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY63: $i,SY64: $i,SY65: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY48: $i,SY49: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY63 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY64 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY65 @ SY48 ) ) ) ) @ SY49 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY65 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(32,plain,
! [SV8: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY70: $i,SY71: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY68 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY69 @ SY70 ) ) ) ) @ SY71 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY69 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(33,plain,
! [SV9: $i,SV8: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY72: $i] :
( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY73: $i,SY74: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SY72 @ SY73 ) ) ) ) @ SY74 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY72 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(34,plain,
! [SV10: $i,SV9: $i,SV8: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV10 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV10: $i,SV9: $i,SV8: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV10 = SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(36,plain,
! [SV10: $i,SV9: $i,SV8: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV10 = SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(37,plain,
! [SV10: $i,SV9: $i,SV8: $i,SV1: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV10 = SV5 ) )
= $true )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(38,plain,
! [SV10: $i,SV9: $i,SV8: $i,SV1: $i,SV7: $i,SV6: $i,SV5: $i,SV4: $i,SV3: $i,SV2: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV10 = SV5 ) )
= $true )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
! [SV7: $i,SV6: $i,SV3: $i,SV2: $i,SV5: $i,SV1: $i,SV10: $i,SV4: $i,SV9: $i,SV8: $i] :
( ( ( ! [SY75: $i,SY76: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SY75 ) ) ) ) @ SY76 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV10 = SV5 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV7: $i,SV6: $i,SV3: $i,SV2: $i,SV5: $i,SV1: $i,SV11: $i,SV10: $i,SV4: $i,SV9: $i,SV8: $i] :
( ( ( ! [SY77: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SV11 ) ) ) ) @ SY77 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV10 = SV5 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV7: $i,SV6: $i,SV3: $i,SV2: $i,SV5: $i,SV1: $i,SV12: $i,SV11: $i,SV10: $i,SV4: $i,SV9: $i,SV8: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SV11 ) ) ) ) @ SV12 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV10 = SV5 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV7: $i,SV6: $i,SV3: $i,SV2: $i,SV5: $i,SV1: $i,SV12: $i,SV11: $i,SV10: $i,SV4: $i,SV9: $i,SV8: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV8 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV8 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV9 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV10 @ SV11 ) ) ) ) @ SV12 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( SV10 = SV5 )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV2 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV2 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV3 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV4 ) @ ( c_Message_Omsg_OMPair @ SV5 @ SV6 ) ) ) ) @ SV7 ) ) @ ( c_List_Oset @ SV1 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV1 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,42,25,23,19,18]) ).
thf(44,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 00:31:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.36
% 0.20/0.36 No.of.Axioms: 5
% 0.20/0.36
% 0.20/0.36 Length.of.Defs: 0
% 0.20/0.36
% 0.20/0.36 Contains.Choice.Funs: false
% 0.20/0.38 (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.20/0.51
% 0.20/0.51 ********************************
% 0.20/0.51 * All subproblems solved! *
% 0.20/0.51 ********************************
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:43,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.51
% 0.20/0.51 %**** Beginning of derivation protocol ****
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
% 0.20/0.51
% 0.20/0.51 %**** End of derivation protocol ****
% 0.20/0.51 %**** no. of clauses in derivation: 44 ****
% 0.20/0.51 %**** clause counter: 43 ****
% 0.20/0.51
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:43,loop_count:0,foatp_calls:1,translation:fof_full)
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