TSTP Solution File: SWV342-2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV342-2 : 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 : n018.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 20:11:57 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 88 ( 48 unt; 22 typ; 0 def)
% Number of atoms : 247 ( 71 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 694 ( 46 ~; 47 |; 0 &; 601 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 140 ( 0 ^ 140 !; 0 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
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_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_OServer,type,
c_Message_Oagent_OServer: $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_Oparts,type,
c_Message_Oparts: $i > $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_tc_Event_Oevent,type,
tc_Event_Oevent: $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_evs3,type,
v_evs3: $i ).
thf(tp_v_na,type,
v_na: $i ).
thf(tp_v_nb,type,
v_nb: $i ).
thf(1,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
thf(2,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_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_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
thf(6,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/sandbox/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(7,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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_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,
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_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(11,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,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)],[2]) ).
thf(15,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)],[3]) ).
thf(16,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)],[4]) ).
thf(17,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,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)],[6]) ).
thf(19,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)],[7]) ).
thf(20,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_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(21,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(24,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_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,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)],[19]) ).
thf(26,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)],[18]) ).
thf(27,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,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)],[16]) ).
thf(29,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)],[15]) ).
thf(30,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)],[14]) ).
thf(31,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(33,plain,
( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Event_Oused @ v_evs3 ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(34,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i,SY20: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY18 @ SY19 ) @ ( c_List_Oset @ SY20 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY19 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY20 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(35,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY21 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_Event_Oused @ SY21 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(36,plain,
! [SV3: $i] :
( ( ! [SY22: $i,SY23: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY22 ) @ ( c_Message_Oanalz @ SY23 ) @ tc_Message_Omsg )
| ( c_in @ SY22 @ ( c_Message_Oanalz @ SY23 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(37,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SY24 ) @ ( c_Message_Oparts @ SY25 ) @ tc_Message_Omsg )
| ( c_in @ SY24 @ ( c_Message_Oparts @ SY25 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(38,plain,
! [SV5: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SY26 ) @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg )
| ( c_in @ SY26 @ ( c_Message_Oparts @ SY27 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(39,plain,
! [SV6: $i] :
( ( ! [SY28: $i] :
( ~ ( c_in @ SV6 @ SY28 @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oparts @ SY28 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(40,plain,
! [SV7: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV7 ) )
= ( c_Message_Oparts @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(41,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(42,plain,
! [SV8: $i,SV1: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SY29 ) @ ( c_List_Oset @ SY30 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY29 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY30 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV9: $i,SV2: $i] :
( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_Event_Oused @ SV9 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV10: $i,SV3: $i] :
( ( ! [SY31: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oanalz @ SY31 ) @ tc_Message_Omsg )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ SY31 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY32: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SY32 ) @ tc_Message_Omsg )
| ( c_in @ SV11 @ ( c_Message_Oparts @ SY32 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY33: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV12 ) @ ( c_Message_Oparts @ SY33 ) @ tc_Message_Omsg )
| ( c_in @ SV12 @ ( c_Message_Oparts @ SY33 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ SV13 @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV14: $i,SV8: $i,SV1: $i] :
( ( ! [SY34: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV14 ) @ ( c_List_Oset @ SY34 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY34 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV2 @ ( c_Event_Oused @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV15: $i,SV10: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
| ( c_in @ SV11 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV17: $i,SV12: $i,SV5: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV12 ) @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg )
| ( c_in @ SV12 @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ SV13 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV18: $i,SV14: $i,SV8: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV14 ) @ ( c_List_Oset @ SV18 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV18 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV9: $i,SV2: $i] :
( ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV2 @ ( c_Event_Oused @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV15: $i,SV10: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV11 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV17: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV12 ) @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV12 @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV13: $i,SV6: $i] :
( ( ( c_in @ SV6 @ SV13 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV18: $i,SV14: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV14 ) @ ( c_List_Oset @ SV18 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV18 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV15: $i,SV10: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV10 ) @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ SV15 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV11 ) @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV11 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV17: $i,SV12: $i,SV5: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV12 ) @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV12 @ ( c_Message_Oparts @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV18: $i,SV14: $i,SV8: $i,SV1: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV8 @ SV14 ) @ ( c_List_Oset @ SV18 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV14 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV18 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,64,63,62,61,59,55,41,40,33]) ).
thf(66,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV342-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 01:46:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 9
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.18/0.42
% 0.18/0.42 ********************************
% 0.18/0.42 * All subproblems solved! *
% 0.18/0.42 ********************************
% 0.18/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:65,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.42
% 0.18/0.42 %**** Beginning of derivation protocol ****
% 0.18/0.42 % SZS output start CNFRefutation
% See solution above
% 0.18/0.42
% 0.18/0.42 %**** End of derivation protocol ****
% 0.18/0.42 %**** no. of clauses in derivation: 66 ****
% 0.18/0.42 %**** clause counter: 65 ****
% 0.18/0.42
% 0.18/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:65,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------