TSTP Solution File: SWV721-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:24:14 EDT 2022
% Result : Unsatisfiable 58.75s 37.87s
% Output : Proof 58.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 45
% Syntax : Number of formulae : 77 ( 13 unt; 18 typ; 0 def)
% Number of atoms : 227 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 305 ( 141 ~; 137 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 7 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 206 ( 192 !; 0 ?; 206 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_in_type,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
tff(c_Event_Oknows_type,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(v_evs_type,type,
v_evs: $i ).
tff(c_Message_Oagent_OSpy_type,type,
c_Message_Oagent_OSpy: $i ).
tff(c_Message_Omsg_OMPair_type,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(v_X_type,type,
v_X: $i ).
tff(v_K_type,type,
v_K: $i ).
tff(v_B_type,type,
v_B: $i ).
tff(v_N_type,type,
v_N: $i ).
tff(c_Message_Omsg_OCrypt_type,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_KA_type,type,
v_KA: $i ).
tff(tc_Event_Oevent_type,type,
tc_Event_Oevent: $i ).
tff(c_List_Oset_type,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(c_Event_Oevent_OSays_type,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(v_A_type,type,
v_A: $i ).
tff(v_S_type,type,
v_S: $i ).
tff(1,plain,
( c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
<=> c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(3,plain,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
refl(
( ( ~ 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
<=> ( ~ 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
<=> ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
<=> ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
rewrite(
( ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ 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(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )
<=> ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [V_X: $i,V_B: $i,V_A: $i,V_evs: $i] :
( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
tff(10,plain,
! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
| ~ c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
| ~ c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
| ~ c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [V_X: $i,V_B: $i,V_A: $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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )
| ~ c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [V_H: $i,V_X: $i,V_K: $i] :
refl(
( ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
<=> ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
<=> ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,axiom,
! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
tff(22,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(skolemize,[status(sab)],[22]) ).
tff(24,plain,
! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[23,19]) ).
tff(25,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(26,plain,
( ( c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(monotonicity,[status(thm)],[26]) ).
tff(28,plain,
( ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(transitivity,[status(thm)],[27,25]) ).
tff(29,plain,
( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [V_H: $i,V_X: $i,V_K: $i] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(unit_resolution,[status(thm)],[30,24,17]) ).
tff(32,plain,
^ [V_Y: $i,V_H: $i,V_X: $i] :
refl(
( ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
<=> ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
<=> ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
tff(36,plain,
! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(skolemize,[status(sab)],[36]) ).
tff(38,plain,
! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[37,33]) ).
tff(39,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(41,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(transitivity,[status(thm)],[41,39]) ).
tff(43,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(unit_resolution,[status(thm)],[44,38,31]) ).
tff(46,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ( c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(transitivity,[status(thm)],[48,46]) ).
tff(50,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) )
| ~ c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(unit_resolution,[status(thm)],[51,38,45]) ).
tff(53,plain,
( ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
<=> ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(rewrite,[status(thm)],]) ).
tff(54,axiom,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(55,plain,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
( ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) )
<=> ( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( ~ ! [V_Y: $i,V_H: $i,V_X: $i] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ 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(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
$false,
inference(unit_resolution,[status(thm)],[58,38,55,52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 07:23:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 58.75/37.87 % SZS status Unsatisfiable
% 58.75/37.87 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------