TSTP Solution File: SWV340-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV340-2 : 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 : n032.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 20:11:56 EDT 2022
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 38
% Syntax : Number of formulae : 100 ( 52 unt; 26 typ; 0 def)
% Number of atoms : 292 ( 86 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 770 ( 54 ~; 60 |; 0 &; 656 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 14 con; 0-3 aty)
% Number of variables : 137 ( 0 ^ 137 !; 0 ?; 137 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_Event_Oused,type,
c_Event_Oused: $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_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_Message_Oparts,type,
c_Message_Oparts: $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_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_Ka,type,
v_Ka: $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(1,axiom,
! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( 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 @ 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_Yahalom_OGets__imp__analz__Spy__dest_0) ).
thf(2,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
thf(3,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(4,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ 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_OBody__dest_0) ).
thf(5,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ 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_OMPair__parts_1) ).
thf(6,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
thf(7,axiom,
! [V_c: $i,V_evs: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(11,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs4 ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(12,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ 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_Ka ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(13,negated_conjecture,
c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(14,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( 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 @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,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)],[3]) ).
thf(18,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( v_K = v_Ka )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(23,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs4 ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(24,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ 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_Ka ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(25,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(26,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( 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 @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(28,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(29,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ 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_Ka ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs4 ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( v_K = v_Ka )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(33,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(34,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(35,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(36,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)],[17]) ).
thf(37,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( 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 @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(39,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs4 ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV1: $i] :
( ( ! [SY17: $i] :
( ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY17 ) ) @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Event_Oused @ SY17 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(42,plain,
! [SV2: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY18 ) @ ( c_Message_Oparts @ SY19 ) @ tc_Message_Omsg )
| ( c_in @ SY18 @ ( c_Message_Oparts @ SY19 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV3: $i] :
( ( ! [SY20: $i,SY21: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY20 ) @ ( c_Message_Oparts @ SY21 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SY21 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
! [SV4: $i] :
( ( ! [SY22: $i,SY23: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV4 @ SY22 ) @ ( c_Message_Oparts @ SY23 ) @ tc_Message_Omsg )
| ( c_in @ SY22 @ ( c_Message_Oparts @ SY23 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV5: $i] :
( ( ! [SY24: $i] :
( ~ ( c_in @ SV5 @ SY24 @ tc_Message_Omsg )
| ( c_in @ SV5 @ ( c_Message_Oparts @ SY24 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV6: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV6 ) )
= ( c_Message_Oparts @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(47,plain,
! [SV7: $i] :
( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY25 @ SY26 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(48,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV8: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Event_Oused @ SV8 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY27: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV10: $i,SV3: $i] :
( ( ! [SY28: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oparts @ SY28 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SY28 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY29: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SY29 ) @ tc_Message_Omsg )
| ( c_in @ SV11 @ ( c_Message_Oparts @ SY29 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV12: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ SV12 @ tc_Message_Omsg )
| ( c_in @ SV5 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY25 @ SY26 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV8: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV1 @ ( c_Event_Oused @ SV8 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV13: $i,SV9: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV14: $i,SV10: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg )
| ( c_in @ SV11 @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ SV12 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV5 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV7: $i] :
( ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY25 @ SY26 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV8: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1 @ ( c_Event_Oused @ SV8 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV13: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV9 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV14: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV11 @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV12: $i,SV5: $i] :
( ( ( c_in @ SV5 @ SV12 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV5 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV7: $i,SV16: $i] :
( ( ( ! [SY30: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV16 @ SY30 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY30 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV13: $i,SV9: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV9 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV9 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV14: $i,SV10: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV11 @ ( c_Message_Oparts @ SV15 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV7: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV16 @ SV17 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV17 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV7: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV16 @ SV17 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(72,plain,
! [SV7: $i,SV17: $i,SV16: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV16 @ SV17 ) @ ( c_List_Oset @ SV7 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV7 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(73,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,72,69,68,67,65,61,48,46,40,31,29]) ).
thf(74,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 15 18:18:59 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.31
% 0.15/0.31 No.of.Axioms: 11
% 0.15/0.31
% 0.15/0.31 Length.of.Defs: 0
% 0.15/0.31
% 0.15/0.31 Contains.Choice.Funs: false
% 0.15/0.32 (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.15/0.42
% 0.15/0.42 ********************************
% 0.15/0.42 * All subproblems solved! *
% 0.15/0.42 ********************************
% 0.15/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:73,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.15/0.42
% 0.15/0.42 %**** Beginning of derivation protocol ****
% 0.15/0.42 % SZS output start CNFRefutation
% See solution above
% 0.15/0.42
% 0.15/0.42 %**** End of derivation protocol ****
% 0.15/0.42 %**** no. of clauses in derivation: 74 ****
% 0.15/0.42 %**** clause counter: 73 ****
% 0.15/0.42
% 0.15/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:73,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------