TSTP Solution File: SWV323-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV323-2 : 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 : n015.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 20:11:50 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 48
% Syntax : Number of formulae : 161 ( 77 unt; 30 typ; 0 def)
% Number of atoms : 591 ( 156 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1804 ( 115 ~; 148 |; 0 &;1541 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 15 con; 0-3 aty)
% Number of variables : 299 ( 0 ^ 299 !; 0 ?; 299 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $i ).
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $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_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
thf(tp_c_OtwayRees_Ootway,type,
c_OtwayRees_Ootway: $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_insert,type,
c_insert: $i > $i > $i > $i ).
thf(tp_c_union,type,
c_union: $i > $i > $i > $i ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_List_Olist,type,
tc_List_Olist: $i > $i ).
thf(tp_tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_B,type,
v_B: $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_evs4,type,
v_evs4: $i ).
thf(tp_v_sko__usf,type,
v_sko__usf: $i > $i > $i > $i ).
thf(1,axiom,
! [V_a: $i,V_B: $i,T_a: $i,V_b: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
thf(2,axiom,
! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
thf(3,axiom,
! [V_A: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
thf(4,axiom,
! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
thf(5,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
thf(6,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
thf(7,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
thf(8,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).
thf(9,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
thf(10,axiom,
! [V_K: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
thf(11,axiom,
! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
thf(12,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
thf(13,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(14,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,negated_conjecture,
( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(16,negated_conjecture,
( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(17,negated_conjecture,
( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(18,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ v_B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(19,negated_conjecture,
c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[14]) ).
thf(21,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i,V_b: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [V_K: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(34,plain,
( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(35,plain,
( ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(36,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(37,plain,
( ( c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ! [V_b: $i] : ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(40,plain,
( ( ! [V_A: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ! [V_evs: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(41,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(42,plain,
( ( c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(43,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_B @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(44,plain,
( ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(45,plain,
( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(46,plain,
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(47,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(48,plain,
( ( ! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(49,plain,
( ( ! [V_K: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(50,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(51,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(52,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(53,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(54,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(55,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [V_A: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ! [V_evs: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(58,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ! [V_b: $i] : ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(59,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(60,plain,
( ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(61,plain,
( ( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(62,plain,
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(63,plain,
! [SV1: $i] :
( ( ! [SY34: $i,SY35: $i,SY36: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY34 @ SY35 ) @ ( c_List_Oset @ SY36 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY35 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY36 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(64,plain,
! [SV2: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SY37 @ SY38 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SY37 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY38 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY38 ) ) @ ( c_Message_Oparts @ SY38 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(65,plain,
! [SV3: $i] :
( ( ! [SY39: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ ( c_Message_Osynth @ SY39 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ SY39 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(66,plain,
! [SV4: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SY40 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY41 ) ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY41 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(67,plain,
! [SV5: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SY42 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY43 ) ) @ tc_Message_Omsg )
| ( c_in @ SY42 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY43 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(68,plain,
! [SV6: $i] :
( ( ! [SY44: $i] :
( ~ ( c_in @ SV6 @ ( c_Message_Oanalz @ SY44 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oparts @ SY44 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(69,plain,
! [SV7: $i] :
( ( ! [SY45: $i] :
( ~ ( c_in @ SV7 @ SY45 @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Oparts @ SY45 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(70,plain,
! [SV8: $i] :
( ( ! [SY46: $i] :
( ~ ( c_in @ SV8 @ SY46 @ tc_Message_Omsg )
| ( c_in @ SV8 @ ( c_Message_Osynth @ SY46 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(71,plain,
! [SV9: $i] :
( ( ~ ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY47: $i,SY48: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY47 @ SY48 @ SV9 ) @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(72,plain,
! [SV10: $i] :
( ( ~ ( c_in @ SV10 @ c_Event_Obad @ tc_Message_Oagent )
| ! [SY49: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY49 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(73,plain,
! [SV11: $i] :
( ( ! [SY50: $i,SY51: $i,SY52: $i] :
( ~ ( c_in @ SV11 @ ( c_union @ SY50 @ SY51 @ SY52 ) @ SY52 )
| ( c_in @ SV11 @ SY51 @ SY52 )
| ( c_in @ SV11 @ SY50 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(74,plain,
! [SV12: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ~ ( c_in @ SV12 @ SY53 @ SY54 )
| ! [SY55: $i] : ( c_in @ SV12 @ ( c_insert @ SY55 @ SY53 @ SY54 ) @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(75,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(76,plain,
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(77,plain,
( ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(78,plain,
! [SV13: $i,SV1: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV13 @ SY56 ) @ ( c_List_Oset @ SY57 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY56 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY57 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(79,plain,
! [SV14: $i,SV2: $i] :
( ( ! [SY58: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SY58 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY58 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY58 ) ) @ ( c_Message_Oparts @ SY58 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV15: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ SV15 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV16: $i,SV4: $i] :
( ( ! [SY59: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV16 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY59 ) ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY59 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV17: $i,SV5: $i] :
( ( ! [SY60: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY60 ) ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY60 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV18: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oparts @ SV18 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV19: $i,SV7: $i] :
( ( ~ ( c_in @ SV7 @ SV19 @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Oparts @ SV19 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV20: $i,SV8: $i] :
( ( ~ ( c_in @ SV8 @ SV20 @ tc_Message_Omsg )
| ( c_in @ SV8 @ ( c_Message_Osynth @ SV20 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV9: $i] :
( ( ( ~ ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY47: $i,SY48: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY47 @ SY48 @ SV9 ) @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV10: $i] :
( ( ( ~ ( c_in @ SV10 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ! [SY49: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY49 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV21: $i,SV11: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ( c_in @ SV11 @ ( c_union @ SV21 @ SY61 @ SY62 ) @ SY62 )
| ( c_in @ SV11 @ SY61 @ SY62 )
| ( c_in @ SV11 @ SV21 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV22: $i,SV12: $i] :
( ( ! [SY63: $i] :
( ~ ( c_in @ SV12 @ SV22 @ SY63 )
| ! [SY64: $i] : ( c_in @ SV12 @ ( c_insert @ SY64 @ SV22 @ SY63 ) @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(90,plain,
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV23: $i,SV13: $i,SV1: $i] :
( ( ! [SY65: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV13 @ SV23 ) @ ( c_List_Oset @ SY65 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV23 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY65 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV24: $i,SV14: $i,SV2: $i] :
( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SV24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ ( c_Message_Oparts @ SV24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ SV15 @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV25: $i,SV16: $i,SV4: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV16 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV18 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ SV19 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ ( c_Message_Oparts @ SV19 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(98,plain,
! [SV20: $i,SV8: $i] :
( ( ( ~ ( c_in @ SV8 @ SV20 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV8 @ ( c_Message_Osynth @ SV20 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(99,plain,
! [SV9: $i] :
( ( ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY47: $i,SY48: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY47 @ SY48 @ SV9 ) @ SY47 @ SY48 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV10: $i] :
( ( ( c_in @ SV10 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ! [SY49: $i] : ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY49 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV27: $i,SV21: $i,SV11: $i] :
( ( ! [SY66: $i] :
( ~ ( c_in @ SV11 @ ( c_union @ SV21 @ SV27 @ SY66 ) @ SY66 )
| ( c_in @ SV11 @ SV27 @ SY66 )
| ( c_in @ SV11 @ SV21 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV28: $i,SV22: $i,SV12: $i] :
( ( ~ ( c_in @ SV12 @ SV22 @ SV28 )
| ! [SY67: $i] : ( c_in @ SV12 @ ( c_insert @ SY67 @ SV22 @ SV28 ) @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV29: $i,SV23: $i,SV13: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV13 @ SV23 ) @ ( c_List_Oset @ SV29 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV23 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV29 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV24: $i,SV14: $i,SV2: $i] :
( ( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SV24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ ( c_Message_Oparts @ SV24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV15: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_OKey @ SV3 ) @ SV15 @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV25: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV16 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV4 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV17 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV18: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV18 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV19: $i,SV7: $i] :
( ( ( c_in @ SV7 @ SV19 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ ( c_Message_Oparts @ SV19 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV20: $i,SV8: $i] :
( ( ( c_in @ SV8 @ SV20 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ ( c_Message_Osynth @ SV20 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV9: $i,SV30: $i] :
( ( ( ! [SY68: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV30 @ SY68 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV30 @ SY68 @ SV9 ) @ SV30 @ SY68 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV31: $i,SV10: $i] :
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV31 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV10 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV32: $i,SV27: $i,SV21: $i,SV11: $i] :
( ( ~ ( c_in @ SV11 @ ( c_union @ SV21 @ SV27 @ SV32 ) @ SV32 )
| ( c_in @ SV11 @ SV27 @ SV32 )
| ( c_in @ SV11 @ SV21 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV28: $i,SV22: $i,SV12: $i] :
( ( ( ~ ( c_in @ SV12 @ SV22 @ SV28 ) )
= $true )
| ( ( ! [SY67: $i] : ( c_in @ SV12 @ ( c_insert @ SY67 @ SV22 @ SV28 ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV29: $i,SV23: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV13 @ SV23 ) @ ( c_List_Oset @ SV29 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV23 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV29 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV24: $i,SV14: $i,SV2: $i] :
( ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SV24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ ( c_Message_Oparts @ SV24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV25: $i,SV16: $i,SV4: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV16 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV4 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV25 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(118,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV17 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV26 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV9: $i,SV33: $i,SV30: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV30 @ SV33 @ SV9 ) @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV32: $i,SV27: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( c_in @ SV11 @ ( c_union @ SV21 @ SV27 @ SV32 ) @ SV32 ) )
= $true )
| ( ( ( c_in @ SV11 @ SV27 @ SV32 )
| ( c_in @ SV11 @ SV21 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV28: $i,SV22: $i,SV12: $i] :
( ( ( c_in @ SV12 @ SV22 @ SV28 )
= $false )
| ( ( ! [SY67: $i] : ( c_in @ SV12 @ ( c_insert @ SY67 @ SV22 @ SV28 ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV29: $i,SV23: $i,SV13: $i,SV1: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV13 @ SV23 ) @ ( c_List_Oset @ SV29 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV23 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV29 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV2: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ ( c_Message_Oparts @ SV24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SV24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV9: $i,SV33: $i,SV30: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV30 @ SV33 @ SV9 ) @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV32: $i,SV27: $i,SV21: $i,SV11: $i] :
( ( ( c_in @ SV11 @ ( c_union @ SV21 @ SV27 @ SV32 ) @ SV32 )
= $false )
| ( ( ( c_in @ SV11 @ SV27 @ SV32 )
| ( c_in @ SV11 @ SV21 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV28: $i,SV22: $i,SV34: $i,SV12: $i] :
( ( ( c_in @ SV12 @ ( c_insert @ SV34 @ SV22 @ SV28 ) @ SV28 )
= $true )
| ( ( c_in @ SV12 @ SV22 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV2: $i,SV24: $i,SV14: $i] :
( ( ( c_in @ SV14 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV24 ) ) @ ( c_Message_Oparts @ SV24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV14 @ SV24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV9: $i,SV33: $i,SV30: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV30 @ SV33 @ SV9 ) @ SV30 @ SV33 ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV9 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV21: $i,SV32: $i,SV27: $i,SV11: $i] :
( ( ( c_in @ SV11 @ SV27 @ SV32 )
= $true )
| ( ( c_in @ SV11 @ SV21 @ SV32 )
= $true )
| ( ( c_in @ SV11 @ ( c_union @ SV21 @ SV27 @ SV32 ) @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(130,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[42,129,128,127,126,122,118,117,112,110,109,108,105,90,76,75,62,43]) ).
thf(131,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 03:28:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 17
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:17,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:19,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.18/0.48
% 0.18/0.48 ********************************
% 0.18/0.48 * All subproblems solved! *
% 0.18/0.48 ********************************
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:130,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.48
% 0.18/0.48 %**** Beginning of derivation protocol ****
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49
% 0.18/0.49 %**** End of derivation protocol ****
% 0.18/0.49 %**** no. of clauses in derivation: 131 ****
% 0.18/0.49 %**** clause counter: 130 ****
% 0.18/0.49
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:130,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------