%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:07:28 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.60s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 45 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 18 |; 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; 7 con; 0-3 aty)
% Number of variables : 20 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_1,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]) ).
fof(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(VAR_0)),c_Message_Oparts(VAR_3),tc_Message_Omsg)
| c_in(VAR_0,c_Message_OkeysFor(c_Message_Oparts(c_union(VAR_2,VAR_3,tc_Message_Omsg))),tc_nat)
| ~ c_in(VAR_1,c_Message_Osynth(c_Message_Oanalz(VAR_3)),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_OkeysFor(c_Message_Oparts(c_insert(VAR_1,VAR_2,tc_Message_Omsg))),tc_nat) ),
file('theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
cnf(c_2,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(A)),c_Message_Oparts(D),tc_Message_Omsg)
| c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_union(C,D,tc_Message_Omsg))),tc_nat)
| ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_insert(B,C,tc_Message_Omsg))),tc_nat) ),
inference(clausify,[status(thm)],[cls_Event_OkeysFor__parts__insert__dest_0]) ).
fof(cls_Public_OinvKey__K_0,axiom,
! [VAR_0] :
( c_Message_OinvKey(VAR_0) = VAR_0
| ~ c_in(VAR_0,c_Message_OsymKeys,tc_nat) ),
file('theBenchmark.p',cls_Public_OinvKey__K_0) ).
cnf(c_3,plain,
( c_Message_OinvKey(A) = A
| ~ c_in(A,c_Message_OsymKeys,tc_nat) ),
inference(clausify,[status(thm)],[cls_Public_OinvKey__K_0]) ).
fof(cls_Set_OUn__absorb_0,axiom,
! [VAR_0,VAR_1] : c_union(VAR_0,VAR_0,VAR_1) = VAR_0,
file('theBenchmark.p',cls_Set_OUn__absorb_0) ).
cnf(c_4,plain,
c_union(A,A,B) = A,
inference(clausify,[status(thm)],[cls_Set_OUn__absorb_0]) ).
fof(cls_conjecture_0,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_5,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_2,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_6,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_4,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_7,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_5,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_8,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_conjecture_6,axiom,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('theBenchmark.p',cls_conjecture_6) ).
cnf(c_9,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(clausify,[status(thm)],[cls_conjecture_6]) ).
cnf(c_10,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(resolve,[status(thm)],[c_7,c_9]) ).
cnf(c_11,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_13,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_1,c_7]) ).
cnf(c_16,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(A),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),A,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(A)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_8,c_2]) ).
cnf(c_14,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(A),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),A,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(A)),tc_Message_Omsg) ),
inference(paramod,[status(thm)],[c_11,c_16]) ).
cnf(c_17,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat) ),
inference(resolve,[status(thm)],[c_14,c_6]) ).
cnf(c_18,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(paramod,[status(thm)],[c_4,c_17]) ).
cnf(c_19,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_10,c_18]) ).
cnf(c_15,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.58 % Computer : n003.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Sat Sep 26 13:36:09 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.59 % Process 3024120 was started by sandbox2 on n003,
% 0.11/0.59 % Sat Sep 26 13:36:09 2026
% 0.11/0.59 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.59
% 0.11/0.59 % From the command line: assign(max_seconds, 300).
% 0.11/0.60
% 0.11/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.60
% 0.11/0.60 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.60 % Length of proof is 14.
% 0.11/0.60 % Level of proof is 3.
% 0.11/0.60 % Maximum clause weight is 31.000.
% 0.11/0.60 % Given clauses 12.
% 0.11/0.60
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------