%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV355-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 09:30:18 PM UTC 2025
% Result : Unsatisfiable 3.19s 1.82s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Event_Oused > v_evs1 > v_NB > v_NA > v_B > v_A > tc_Message_Omsg > tc_Event_Oevent > c_Message_Oagent_OSpy > c_Message_Oagent_OServer
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(v_evs1,type,
v_evs1: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(f_52,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_53,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_A,V_B,V_X,V_evs] :
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_c,V_evs] :
( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_12,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_14,plain,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_2,plain,
! [V_X_3,V_evs_4,V_A_1,V_B_2] :
( c_in(V_X_3,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_1,V_B_2,V_X_3),c_List_Oset(V_evs_4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_81,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_2]) ).
tff(c_10,plain,
! [V_X_13,V_H_14] :
( c_in(V_X_13,c_Message_Oparts(V_H_14),tc_Message_Omsg)
| ~ c_in(V_X_13,V_H_14,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_28,plain,
! [V_Y_23,V_H_24,V_X_25] :
( c_in(V_Y_23,c_Message_Oparts(V_H_24),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_25,V_Y_23),c_Message_Oparts(V_H_24),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_33,plain,
! [V_Y_23,V_H_14,V_X_25] :
( c_in(V_Y_23,c_Message_Oparts(V_H_14),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_25,V_Y_23),V_H_14,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_28]) ).
tff(c_150,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_81,c_33]) ).
tff(c_8,plain,
! [V_X_11,V_H_12,V_K_10] :
( c_in(V_X_11,c_Message_Oparts(V_H_12),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_10,V_X_11),c_Message_Oparts(V_H_12),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_183,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_150,c_8]) ).
tff(c_6,plain,
! [V_Y_8,V_H_9,V_X_7] :
( c_in(V_Y_8,c_Message_Oparts(V_H_9),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_7,V_Y_8),c_Message_Oparts(V_H_9),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_216,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_183,c_6]) ).
tff(c_249,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_216,c_6]) ).
tff(c_4,plain,
! [V_c_5,V_evs_6] :
( c_in(V_c_5,c_Event_Oused(V_evs_6),tc_Message_Omsg)
| ~ c_in(V_c_5,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_6)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_252,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_249,c_4]) ).
tff(c_256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV355-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 03:07:03 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.19/1.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/1.82
% 3.19/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------