TSTP Solution File: SWV300-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV300-2 : TPTP v8.1.2. 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 : n009.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 : Tue Aug 22 11:03:35 EDT 2023
% Result : Unsatisfiable 3.10s 1.83s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 45
% Syntax : Number of formulae : 73 ( 17 unt; 31 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 34 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 15 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 61 (; 61 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_insert > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Oanalz > v_evs4 > v_X > v_NB > v_NAa > v_NA > v_Ka > v_K > v_Ba > v_Aaa > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_OtwayRees_Ootway > c_Message_Oagent_OSpy > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_Ka,type,
v_Ka: $i ).
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_K,type,
v_K: $i ).
tff(v_evs4,type,
v_evs4: $i ).
tff(v_X,type,
v_X: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(v_NAa,type,
v_NAa: $i ).
tff(c_OtwayRees_Ootway,type,
c_OtwayRees_Ootway: $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $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(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_Aaa,type,
v_Aaa: $i ).
tff(v_Ba,type,
v_Ba: $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(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_27,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_28,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_31,axiom,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_67,axiom,
! [V_c,V_H] :
( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_32,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_29,axiom,
c_in(c_Event_Oevent_OSays(v_Aaa,v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_37,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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [V_Z,V_X,V_H] :
( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_87,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ),
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_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_80,axiom,
! [V_evs,V_A] :
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_8,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_22,plain,
! [V_c_17,V_H_18] :
( c_in(V_c_17,c_Message_Oparts(V_H_18),tc_Message_Omsg)
| ~ c_in(V_c_17,c_Message_Oanalz(V_H_18),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_35,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_22,c_8]) ).
tff(c_10,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_6,plain,
c_in(c_Event_Oevent_OSays(v_Aaa,v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_12,plain,
! [V_X_3,V_evs_4,V_A_1,V_B_2] :
( c_in(V_X_3,c_Message_Oanalz(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_37]) ).
tff(c_59,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_6,c_12]) ).
tff(c_18,plain,
! [V_Y_12,V_H_13,V_X_11] :
( c_in(V_Y_12,c_Message_Oanalz(V_H_13),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_11,V_Y_12),c_Message_Oanalz(V_H_13),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_67,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_59,c_18]) ).
tff(c_24,plain,
! [V_X_19,V_H_20] :
( c_in(V_X_19,c_Message_Osynth(V_H_20),tc_Message_Omsg)
| ~ c_in(V_X_19,V_H_20,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_36,plain,
! [V_X_34,V_H_35,V_Y_36] :
( c_in(V_X_34,c_Message_Osynth(c_Message_Oanalz(V_H_35)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_34,V_Y_36),c_Message_Osynth(c_Message_Oanalz(V_H_35)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_40,plain,
! [V_X_34,V_H_35,V_Y_36] :
( c_in(V_X_34,c_Message_Osynth(c_Message_Oanalz(V_H_35)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_34,V_Y_36),c_Message_Oanalz(V_H_35),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_24,c_36]) ).
tff(c_74,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_67,c_40]) ).
tff(c_16,plain,
! [V_Z_8,V_H_10,V_X_9] :
( c_in(V_Z_8,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_10)),c_Message_Oparts(V_H_10),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X_9,c_Message_Osynth(c_Message_Oanalz(V_H_10)),tc_Message_Omsg)
| ~ c_in(V_Z_8,c_Message_Oparts(c_insert(V_X_9,V_H_10,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_96,plain,
! [V_Z_64] :
( c_in(V_Z_64,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_Z_64,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_74,c_16]) ).
tff(c_28,plain,
! [V_c_23,V_A_24,T_a_26,V_B_25] :
( c_in(V_c_23,V_A_24,T_a_26)
| c_in(V_c_23,V_B_25,T_a_26)
| ~ c_in(V_c_23,c_union(V_A_24,V_B_25,T_a_26),T_a_26) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_107,plain,
! [V_Z_66] :
( c_in(V_Z_66,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(V_Z_66,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(V_Z_66,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_96,c_28]) ).
tff(c_14,plain,
! [V_K_5,V_H_7,V_X_6] :
( c_in(c_Message_Omsg_OKey(V_K_5),V_H_7,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_5,V_X_6),V_H_7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_5,V_X_6),c_Message_Osynth(V_H_7),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_134,plain,
! [V_K_73,V_X_74] :
( c_in(c_Message_Omsg_OKey(V_K_73),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_73,V_X_74),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_73,V_X_74),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_73,V_X_74),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_107,c_14]) ).
tff(c_137,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_134]) ).
tff(c_143,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_8,c_35,c_137]) ).
tff(c_50,plain,
! [V_A_51,V_evs_52] :
( c_in(V_A_51,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_51)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_52)),tc_Message_Omsg)
| ~ c_in(V_evs_52,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_54,plain,
! [V_A_51,V_evs_52] :
( c_in(V_A_51,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs_52,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_51)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_52)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_22,c_50]) ).
tff(c_147,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_143,c_54]) ).
tff(c_150,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_147]) ).
tff(c_152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV300-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 22:31:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.10/1.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/1.83
% 3.40/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.47/1.87
% 3.47/1.87 Inference rules
% 3.47/1.87 ----------------------
% 3.47/1.87 #Ref : 0
% 3.47/1.87 #Sup : 24
% 3.47/1.87 #Fact : 0
% 3.47/1.87 #Define : 0
% 3.47/1.87 #Split : 1
% 3.47/1.87 #Chain : 0
% 3.47/1.87 #Close : 0
% 3.47/1.87
% 3.47/1.87 Ordering : KBO
% 3.47/1.87
% 3.47/1.87 Simplification rules
% 3.47/1.87 ----------------------
% 3.47/1.87 #Subsume : 0
% 3.47/1.87 #Demod : 1
% 3.47/1.87 #Tautology : 1
% 3.47/1.87 #SimpNegUnit : 2
% 3.47/1.87 #BackRed : 0
% 3.47/1.87
% 3.47/1.87 #Partial instantiations: 0
% 3.47/1.87 #Strategies tried : 1
% 3.47/1.87
% 3.47/1.87 Timing (in seconds)
% 3.47/1.87 ----------------------
% 3.47/1.87 Preprocessing : 0.46
% 3.47/1.87 Parsing : 0.26
% 3.47/1.87 CNF conversion : 0.02
% 3.47/1.87 Main loop : 0.31
% 3.47/1.87 Inferencing : 0.14
% 3.47/1.87 Reduction : 0.08
% 3.47/1.87 Demodulation : 0.05
% 3.47/1.87 BG Simplification : 0.01
% 3.47/1.87 Subsumption : 0.07
% 3.47/1.87 Abstraction : 0.01
% 3.47/1.87 MUC search : 0.00
% 3.47/1.87 Cooper : 0.00
% 3.47/1.87 Total : 0.82
% 3.47/1.87 Index Insertion : 0.00
% 3.47/1.87 Index Deletion : 0.00
% 3.47/1.87 Index Matching : 0.00
% 3.47/1.87 BG Taut test : 0.00
%------------------------------------------------------------------------------