%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV811-1 : 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 : n012.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 09:09:09 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.39s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 7 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 : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-5 aty)
% Number of variables : 18 ( 7 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_98,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_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_rev__is__Nil__conv_1,axiom,
! [VAR_0] : c_List_Orev(c_List_Olist_ONil(VAR_0),VAR_0) = c_List_Olist_ONil(VAR_0),
file('theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(c_105,plain,
c_List_Orev(c_List_Olist_ONil(A),A) = c_List_Olist_ONil(A),
inference(clausify,[status(thm)],[cls_rev__is__Nil__conv_1]) ).
fof(cls_takeWhile_Osimps_I1_J_0,axiom,
! [VAR_0,VAR_1] : c_List_OtakeWhile(VAR_0,c_List_Olist_ONil(VAR_1),VAR_1) = c_List_Olist_ONil(VAR_1),
file('theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
cnf(c_152,plain,
c_List_OtakeWhile(A,c_List_Olist_ONil(B),B) = c_List_Olist_ONil(B),
inference(clausify,[status(thm)],[cls_takeWhile_Osimps_I1_J_0]) ).
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_199,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_304,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_305,plain,
c_Event_OinitState(A) = c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(thm)],[c_304]) ).
cnf(c_630,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_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_105,c_98]) ).
cnf(c_620,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(paramod,[status(thm)],[c_152,c_630]) ).
cnf(c_628,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_305,c_199]) ).
cnf(c_629,plain,
$false,
inference(resolve,[status(thm)],[c_628,c_620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV811-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sat Sep 26 14:59:50 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.32 % Process 875221 was started by sandbox2 on n012,
% 0.03/0.32 % Sat Sep 26 14:59:50 2026
% 0.03/0.32 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.03/0.33
% 0.03/0.33 % From the command line: assign(max_seconds, 300).
% 0.07/0.39
% 0.07/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.39
% 0.07/0.39 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.07/0.39 % Length of proof is 9.
% 0.07/0.39 % Level of proof is 3.
% 0.07/0.39 % Maximum clause weight is 89.000.
% 0.07/0.39 % Given clauses 0.
% 0.07/0.39
% 0.07/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------