%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV295-2 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 09:30:04 PM UTC 2025
% Result : Unsatisfiable 2.86s 1.99s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Event_Oused > v_evs1 > v_NAa > v_NA > v_K > v_Aa > tc_Message_Omsg > c_Message_Oagent_OSpy
%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(v_K,type,
v_K: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(v_NAa,type,
v_NAa: $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_Aa,type,
v_Aa: $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(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_29,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file(unknown,unknown) ).
tff(f_28,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_44,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_39,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_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_34,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_6,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_4,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_13,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_2,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_14,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_12,plain,
! [V_X_7,V_H_8,V_K_6] :
( c_in(V_X_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_6,V_X_7),c_Message_Oparts(V_H_8),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_29,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_12]) ).
tff(c_10,plain,
! [V_X_3,V_H_5,V_Y_4] :
( c_in(V_X_3,c_Message_Oparts(V_H_5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_3,V_Y_4),c_Message_Oparts(V_H_5),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_37,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_29,c_10]) ).
tff(c_8,plain,
! [V_c_1,V_evs_2] :
( c_in(V_c_1,c_Event_Oused(V_evs_2),tc_Message_Omsg)
| ~ c_in(V_c_1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_2)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_40,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_37,c_8]) ).
tff(c_44,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV295-2 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.11 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Apr 9 02:59:07 EDT 2025
% 0.16/0.31 % CPUTime :
% 2.86/1.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/2.00
% 2.86/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------