%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV799-1 : 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 : n018.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 09:09:08 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 6 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Crypt__notin__initState_0,axiom,
! [VAR_0,VAR_1,VAR_2] : ~ c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_1),c_Message_Oparts(c_Event_OinitState(VAR_2)),tc_Message_Omsg),
file('theBenchmark.p',cls_Crypt__notin__initState_0) ).
cnf(c_510,plain,
~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_Crypt__notin__initState_0]) ).
fof(cls_knows__Nil_0,axiom,
! [VAR_0] : c_Event_Oknows(VAR_0,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(VAR_0),
file('theBenchmark.p',cls_knows__Nil_0) ).
cnf(c_520,plain,
c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(A),
inference(clausify,[status(thm)],[cls_knows__Nil_0]) ).
cnf(c_521,plain,
c_Event_OinitState(A) = c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(thm)],[c_520]) ).
fof(cls_conjecture_4,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_697,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
cnf(c_744,plain,
~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_Oknows(C,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_521,c_510]) ).
cnf(c_745,plain,
$false,
inference(resolve,[status(thm)],[c_744,c_697]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV799-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 15:00:52 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 711566 was started by sandbox2 on n018,
% 0.16/0.43 % Sat Sep 26 15:00:52 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.47
% 0.16/0.47 % From the command line: assign(max_seconds, 300).
% 0.24/0.61
% 0.24/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.61
% 0.24/0.61 % Proof 1 at 0.12 (+ 0.01) seconds.
% 0.24/0.61 % Length of proof is 6.
% 0.24/0.61 % Level of proof is 3.
% 0.24/0.61 % Maximum clause weight is 34.000.
% 0.24/0.61 % Given clauses 0.
% 0.24/0.61
% 0.24/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------