%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 09:09:01 AM UTC 2026
% Result : Unsatisfiable 6.95s 1.40s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 20 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_5,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_92,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_conjecture_4,axiom,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_93,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_3,axiom,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_94,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),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_142,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_parts__cut_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ c_in(VAR_0,c_Message_Oparts(c_Set_Oinsert(VAR_3,VAR_1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(VAR_3,c_Message_Oparts(VAR_2),tc_Message_Omsg)
| c_in(VAR_0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(VAR_1,VAR_2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts__cut_0) ).
cnf(c_270,plain,
( ~ c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(D,c_Message_Oparts(C),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_parts__cut_0]) ).
fof(cls_Un__empty__left_0,axiom,
! [VAR_0,VAR_1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(VAR_0,tc_bool)),VAR_1,tc_fun(VAR_0,tc_bool)) = VAR_1,
file('theBenchmark.p',cls_Un__empty__left_0) ).
cnf(c_340,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)) = B,
inference(clausify,[status(thm)],[cls_Un__empty__left_0]) ).
cnf(c_635,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_142,c_94]) ).
cnf(c_7717,plain,
( ~ c_in(v_X,c_Message_Oparts(A),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),A,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_270,c_93]) ).
cnf(c_911,plain,
( ~ c_in(v_X,c_Message_Oparts(A),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(A),tc_Message_Omsg) ),
inference(paramod,[status(thm)],[c_340,c_7717]) ).
cnf(c_7718,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_635,c_911]) ).
cnf(c_7716,plain,
$false,
inference(resolve,[status(thm)],[c_92,c_7718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 14:52:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1585158 was started by sandbox on n019,
% 0.11/0.38 % Sat Sep 26 14:52:20 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.39
% 0.11/0.39 % From the command line: assign(max_seconds, 300).
% 6.95/1.40
% 6.95/1.40 % given #500 (A,wt=28): 555 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_bool),tc_bool),tc_bool). [para(32(a,1),29(a,2))].
% 6.95/1.40
% 6.95/1.40 % given #1000 (T,wt=23): 3586 c_Set_Oinsert(c_Message_Oagent_OSpy,c_Message_Oparts(c_Event_Obad),A) = c_Message_Oparts(c_Event_Obad). [resolve(3570,a,108,b)].
% 6.95/1.40
% 6.95/1.40 % SZS status Unsatisfiable for theBenchmark
% 6.95/1.40
% 6.95/1.40 % Proof 1 at 0.70 (+ 0.17) seconds.
% 6.95/1.40 % Length of proof is 9.
% 6.95/1.40 % Level of proof is 2.
% 6.95/1.40 % Maximum clause weight is 43.000.
% 6.95/1.40 % Given clauses 1149.
% 6.95/1.40
% 6.95/1.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------