%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:09:07 AM UTC 2026
% Result : Unsatisfiable 48.70s 7.45s
% Output : CNFRefutation 48.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 30 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-5 aty)
% Number of variables : 28 ( 3 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_11,axiom,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_11) ).
cnf(c_99,plain,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_11]) ).
fof(cls_conjecture_3,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_108,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_parts_OBody_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_in(c_Message_Omsg_OCrypt(VAR_2,VAR_0),c_Message_Oparts(VAR_1),tc_Message_Omsg)
| c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts_OBody_0) ).
cnf(c_164,plain,
( ~ c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_parts_OBody_0]) ).
fof(cls_usedI_0,axiom,
! [VAR_0,VAR_1] :
( ~ c_in(VAR_0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_Message_Omsg)
| c_in(VAR_0,c_Event_Oused(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_usedI_0) ).
cnf(c_171,plain,
( ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)
| c_in(A,c_Event_Oused(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_usedI_0]) ).
fof(cls_spies__evs__rev_0,axiom,
! [VAR_0] : c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(VAR_0,tc_Event_Oevent)),
file('theBenchmark.p',cls_spies__evs__rev_0) ).
cnf(c_184,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,A) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(A,tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_spies__evs__rev_0]) ).
cnf(c_185,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(A,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,A),
inference(copy,[status(thm)],[c_184]) ).
fof(cls_parts__spies__takeWhile__mono_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(VAR_0,VAR_1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
cnf(c_274,plain,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(A,B,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(clausify,[status(thm)],[cls_parts__spies__takeWhile__mono_0]) ).
fof(cls_set__mp_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ c_lessequals(VAR_3,VAR_1,tc_fun(VAR_2,tc_bool))
| ~ c_in(VAR_0,VAR_3,VAR_2)
| c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_set__mp_0) ).
cnf(c_362,plain,
( ~ c_lessequals(D,B,tc_fun(C,tc_bool))
| ~ c_in(A,D,C)
| c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_set__mp_0]) ).
cnf(c_1010,plain,
( ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(C,B,tc_Event_Oevent))),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_362,c_274]) ).
cnf(c_11045,plain,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(v_evs4,tc_Event_Oevent))),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_1010,c_99]) ).
cnf(c_10607,plain,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_185,c_11045]) ).
cnf(c_10956,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_10607,c_164]) ).
cnf(c_11046,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_10956,c_171]) ).
cnf(c_11044,plain,
$false,
inference(resolve,[status(thm)],[c_108,c_11046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 14:58:30 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 3581684 was started by sandbox2 on n010,
% 0.17/0.43 % Sat Sep 26 14:58:30 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.46
% 0.17/0.46 % From the command line: assign(max_seconds, 300).
% 48.70/7.45
% 48.70/7.45 % given #500 (I,wt=25): 693 -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)),D,tc_fun(C,A)) | -c_lessequals(B,D,tc_fun(C,A)). [factor(64,c,d)].
% 48.70/7.45
% 48.70/7.45 % given #1000 (T,wt=14): 3350 c_in(c_Message_Omsg_OMPair(v_evs4,v_evs4),c_Message_Osynth(c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),tc_Message_Omsg). [resolve(2430,a,700,b)].
% 48.70/7.45
% 48.70/7.45 % given #1500 (F,wt=24): 5531 -c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(A,c_Message_Oparts(c_Event_Obad),tc_fun(tc_Message_Omsg,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)). [para(3243(a,1),4502(a,1,1,2))].
% 48.70/7.45
% 48.70/7.45 % SZS status Unsatisfiable for theBenchmark
% 48.70/7.45
% 48.70/7.45 % Proof 1 at 4.91 (+ 1.45) seconds.
% 48.70/7.45 % Length of proof is 12.
% 48.70/7.45 % Level of proof is 4.
% 48.70/7.45 % Maximum clause weight is 50.000.
% 48.70/7.45 % Given clauses 1857.
% 48.70/7.45
% 48.70/7.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------