TSTP Solution File: SWV321-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV321-2 : 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/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 : n028.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 11:03:42 EDT 2023
% Result : Unsatisfiable 2.98s 1.75s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 54 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_insert > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_OKey > c_Message_Oanalz > v_evsf > v_X > v_A > tc_Message_Omsg > tc_Message_Oagent > c_Message_Oagent_OSpy > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $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(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $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(v_evsf,type,
v_evsf: $i ).
tff(v_A,type,
v_A: $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_30,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_56,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_66,axiom,
! [V_A,V_evs] :
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_61,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_38,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_46,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_73,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_51,axiom,
! [V_K,V_H] :
( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [V_a,V_B,T_a,V_b] :
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_35,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_4,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_28,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_14,plain,
! [V_c_6,V_H_7] :
( c_in(V_c_6,c_Message_Oparts(V_H_7),tc_Message_Omsg)
| ~ c_in(V_c_6,c_Message_Oanalz(V_H_7),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_28]) ).
tff(c_18,plain,
! [V_A_10,V_evs_11] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_10)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_11),tc_Message_Omsg)
| ~ c_in(V_A_10,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_16,plain,
! [V_X_8,V_H_9] :
( c_in(V_X_8,c_Message_Oparts(V_H_9),tc_Message_Omsg)
| ~ c_in(V_X_8,V_H_9,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_36,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_16,c_28]) ).
tff(c_40,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolution,[status(thm)],[c_18,c_36]) ).
tff(c_8,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_42,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_40,c_8]) ).
tff(c_2,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_43,plain,
! [V_Z_36,V_H_37,V_X_38] :
( c_in(V_Z_36,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_37)),c_Message_Oparts(V_H_37),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X_38,c_Message_Osynth(c_Message_Oanalz(V_H_37)),tc_Message_Omsg)
| ~ c_in(V_Z_36,c_Message_Oparts(c_insert(V_X_38,V_H_37,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_47,plain,
! [V_Z_39] :
( c_in(V_Z_39,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_Z_39,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_43]) ).
tff(c_20,plain,
! [V_c_12,V_A_13,T_a_15,V_B_14] :
( c_in(V_c_12,V_A_13,T_a_15)
| c_in(V_c_12,V_B_14,T_a_15)
| ~ c_in(V_c_12,c_union(V_A_13,V_B_14,T_a_15),T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_52,plain,
! [V_Z_40] :
( c_in(V_Z_40,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(V_Z_40,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(V_Z_40,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_47,c_20]) ).
tff(c_12,plain,
! [V_K_4,V_H_5] :
( c_in(c_Message_Omsg_OKey(V_K_4),V_H_5,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K_4),c_Message_Osynth(V_H_5),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_61,plain,
! [V_K_41] :
( c_in(c_Message_Omsg_OKey(V_K_41),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K_41),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K_41),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_52,c_12]) ).
tff(c_64,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_42,c_61]) ).
tff(c_74,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_35,c_64]) ).
tff(c_75,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_22,plain,
! [V_a_16,V_b_19,V_B_17,T_a_18] :
( c_in(V_a_16,c_insert(V_b_19,V_B_17,T_a_18),T_a_18)
| ~ c_in(V_a_16,V_B_17,T_a_18) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_6,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_79,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_75,c_6]) ).
tff(c_87,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_16,c_79]) ).
tff(c_91,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_22,c_87]) ).
tff(c_94,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolution,[status(thm)],[c_18,c_91]) ).
tff(c_98,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV321-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:53:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 2.98/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.76
% 2.98/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/1.79
% 3.17/1.79 Inference rules
% 3.17/1.79 ----------------------
% 3.17/1.79 #Ref : 0
% 3.17/1.79 #Sup : 14
% 3.17/1.79 #Fact : 0
% 3.17/1.79 #Define : 0
% 3.17/1.79 #Split : 1
% 3.17/1.79 #Chain : 0
% 3.17/1.79 #Close : 0
% 3.17/1.79
% 3.17/1.79 Ordering : KBO
% 3.17/1.79
% 3.17/1.79 Simplification rules
% 3.17/1.79 ----------------------
% 3.17/1.79 #Subsume : 1
% 3.17/1.79 #Demod : 2
% 3.17/1.79 #Tautology : 0
% 3.17/1.79 #SimpNegUnit : 2
% 3.17/1.79 #BackRed : 0
% 3.17/1.79
% 3.17/1.79 #Partial instantiations: 0
% 3.17/1.79 #Strategies tried : 1
% 3.17/1.79
% 3.17/1.79 Timing (in seconds)
% 3.17/1.79 ----------------------
% 3.17/1.79 Preprocessing : 0.44
% 3.17/1.79 Parsing : 0.25
% 3.17/1.80 CNF conversion : 0.02
% 3.17/1.80 Main loop : 0.26
% 3.17/1.80 Inferencing : 0.12
% 3.17/1.80 Reduction : 0.05
% 3.17/1.80 Demodulation : 0.04
% 3.17/1.80 BG Simplification : 0.01
% 3.17/1.80 Subsumption : 0.06
% 3.17/1.80 Abstraction : 0.01
% 3.17/1.80 MUC search : 0.00
% 3.17/1.80 Cooper : 0.00
% 3.17/1.80 Total : 0.76
% 3.17/1.80 Index Insertion : 0.00
% 3.17/1.80 Index Deletion : 0.00
% 3.17/1.80 Index Matching : 0.00
% 3.17/1.80 BG Taut test : 0.00
%------------------------------------------------------------------------------