%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV307-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 09:07:20 AM UTC 2026
% Result : Unsatisfiable 46.83s 6.39s
% Output : CNFRefutation 46.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_6,axiom,
v_NA = c_Message_Omsg_ONonce(v_NB),
file('theBenchmark.p',cls_conjecture_6) ).
cnf(c_2269,plain,
v_NA = c_Message_Omsg_ONonce(v_NB),
inference(clausify,[status(thm)],[cls_conjecture_6]) ).
fof(cls_conjecture_4,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_2272,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_2,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_2274,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_Message_Oparts_OBody__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_1,c_Message_Oparts(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
cnf(c_2307,plain,
( c_in(B,c_Message_Oparts(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts_OBody__dest_0]) ).
fof(cls_Message_OMPair__parts_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_0,c_Message_Oparts(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__parts_1) ).
cnf(c_2346,plain,
( c_in(A,c_Message_Oparts(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__parts_1]) ).
fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Event_Oused(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(c_2388,plain,
( c_in(A,c_Event_Oused(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c_2770,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_2307,c_2272]) ).
cnf(c_4602,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_2770,c_2346]) ).
cnf(c_28800,plain,
c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4602,c_2388]) ).
cnf(c_28816,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_2269,c_28800]) ).
cnf(c_28815,plain,
$false,
inference(resolve,[status(thm)],[c_2274,c_28816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV307-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:30:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 672973 was started by sandbox on n011,
% 0.09/0.37 % Sat Sep 26 13:30:44 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.41
% 0.09/0.41 % From the command line: assign(max_seconds, 300).
% 46.83/6.39
% 46.83/6.39 % given #500 (T,wt=14): 4636 class_Finite__Set_Ofinite(tc_prod(tc_Product__Type_Ounit,tc_bool)). [resolve(3174,b,2593,a)].
% 46.83/6.39
% 46.83/6.39 % given #1000 (W,wt=17): 9913 c_Union(c_UNIV,A) = c_Union(c_UNIV,B). [para(9843(a,1),9843(a,1))].
% 46.83/6.39
% 46.83/6.39 % given #1500 (T,wt=21): 4624 class_Finite__Set_Ofinite(tc_prod(tc_fun(tc_Product__Type_Ounit,tc_bool),tc_bool)). [resolve(3174,b,4546,a)].
% 46.83/6.39
% 46.83/6.39 % given #2000 (F,wt=19): 20904 -c_lessequals(c_Message_Oparts(c_UNIV),c_insert(c_Public_Okeymode_OEncryption,c_emptyset,A),tc_set(B)). [resolve(20887,a,2621,a)].
% 46.83/6.39
% 46.83/6.39 % given #2500 (W,wt=21): 20891 c_less(c_insert(c_Public_Okeymode_OEncryption,c_emptyset,A),c_insert(B,c_UNIV,C),tc_set(D)). [para(6717(a,1),20224(a,2))].
% 46.83/6.39
% 46.83/6.39 % SZS status Unsatisfiable for theBenchmark
% 46.83/6.39
% 46.83/6.39 % Proof 1 at 4.97 (+ 0.92) seconds.
% 46.83/6.39 % Length of proof is 10.
% 46.83/6.39 % Level of proof is 4.
% 46.83/6.39 % Maximum clause weight is 41.000.
% 46.83/6.39 % Given clauses 2990.
% 46.83/6.39
% 46.83/6.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------