TSTP Solution File: SWW965+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW965+1 : TPTP v8.1.2. Released v7.4.0.
% 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 : n021.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 11:08:26 EDT 2023
% Result : Theorem 7.44s 2.65s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 65
% Syntax : Number of formulae : 90 ( 19 unt; 56 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 17 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 40 >; 16 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 16 con; 0-2 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pred_mess > pred_equal > pred_eq_bitstring_bitstring > pred_table > pred_attacker > tuple_keys > tuple_key_retrieval_server_in_1 > tuple_key_register_server_in_1 > tuple_client_B_out_1 > tuple_client_A_out_1 > tuple_2 > constr_xor > constr_sign > constr_enc > constr_dec > constr_checksign > constr_aenc > constr_adec > #nlpp > tuple_out_3 > tuple_out_2 > tuple_out_1 > tuple_key_retrieval_server_out_2 > tuple_client_B_out_6 > tuple_client_B_out_4 > tuple_client_B_in_5 > tuple_client_B_in_3 > tuple_client_B_in_2 > tuple_client_A_out_5 > tuple_client_A_out_3 > tuple_client_A_in_4 > tuple_client_A_in_2 > name_new0x2Dname > name_Nb > name_Na > constr_tuple_2_get_1_bitstring > constr_tuple_2_get_1 > constr_tuple_2_get_0x30_bitstring > constr_tuple_2_get_0x30 > constr_pkey > constr_getmess > tuple_true > tuple_false > name_skS > name_skB > name_skA > name_objective > name_c > name_I > name_B > name_A > constr_ZERO > constr_CONST_4 > constr_CONST_3 > constr_CONST_2 > constr_CONST_1 > constr_CONST_0x30
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tuple_out_1,type,
tuple_out_1: $i > $i ).
tff(tuple_key_retrieval_server_in_1,type,
tuple_key_retrieval_server_in_1: ( $i * $i ) > $i ).
tff(tuple_client_A_in_2,type,
tuple_client_A_in_2: $i > $i ).
tff(name_I,type,
name_I: $i ).
tff(constr_dec,type,
constr_dec: ( $i * $i ) > $i ).
tff(pred_mess,type,
pred_mess: ( $i * $i ) > $o ).
tff(name_c,type,
name_c: $i ).
tff(tuple_out_3,type,
tuple_out_3: $i > $i ).
tff(pred_equal,type,
pred_equal: ( $i * $i ) > $o ).
tff(name_objective,type,
name_objective: $i ).
tff(tuple_client_A_out_3,type,
tuple_client_A_out_3: $i > $i ).
tff(tuple_client_B_out_6,type,
tuple_client_B_out_6: $i > $i ).
tff(constr_getmess,type,
constr_getmess: $i > $i ).
tff(tuple_client_B_in_2,type,
tuple_client_B_in_2: $i > $i ).
tff(pred_table,type,
pred_table: $i > $o ).
tff(constr_CONST_2,type,
constr_CONST_2: $i ).
tff(name_Nb,type,
name_Nb: $i > $i ).
tff(tuple_client_B_in_5,type,
tuple_client_B_in_5: $i > $i ).
tff(tuple_client_A_out_1,type,
tuple_client_A_out_1: ( $i * $i ) > $i ).
tff(constr_sign,type,
constr_sign: ( $i * $i ) > $i ).
tff(name_skB,type,
name_skB: $i ).
tff(tuple_client_B_out_4,type,
tuple_client_B_out_4: $i > $i ).
tff(name_A,type,
name_A: $i ).
tff(constr_adec,type,
constr_adec: ( $i * $i ) > $i ).
tff(pred_attacker,type,
pred_attacker: $i > $o ).
tff(tuple_false,type,
tuple_false: $i ).
tff(tuple_key_retrieval_server_out_2,type,
tuple_key_retrieval_server_out_2: $i > $i ).
tff(tuple_client_B_out_1,type,
tuple_client_B_out_1: ( $i * $i ) > $i ).
tff(constr_tuple_2_get_1,type,
constr_tuple_2_get_1: $i > $i ).
tff(name_B,type,
name_B: $i ).
tff(constr_tuple_2_get_0x30_bitstring,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
tff(constr_checksign,type,
constr_checksign: ( $i * $i ) > $i ).
tff(constr_ZERO,type,
constr_ZERO: $i ).
tff(constr_CONST_4,type,
constr_CONST_4: $i ).
tff(constr_tuple_2_get_1_bitstring,type,
constr_tuple_2_get_1_bitstring: $i > $i ).
tff(tuple_client_A_out_5,type,
tuple_client_A_out_5: $i > $i ).
tff(tuple_keys,type,
tuple_keys: ( $i * $i ) > $i ).
tff(name_Na,type,
name_Na: $i > $i ).
tff(tuple_2,type,
tuple_2: ( $i * $i ) > $i ).
tff(name_skA,type,
name_skA: $i ).
tff(constr_pkey,type,
constr_pkey: $i > $i ).
tff(constr_CONST_0x30,type,
constr_CONST_0x30: $i ).
tff(tuple_out_2,type,
tuple_out_2: $i > $i ).
tff(name_skS,type,
name_skS: $i ).
tff(tuple_key_register_server_in_1,type,
tuple_key_register_server_in_1: ( $i * $i ) > $i ).
tff(constr_CONST_3,type,
constr_CONST_3: $i ).
tff(constr_CONST_1,type,
constr_CONST_1: $i ).
tff(constr_xor,type,
constr_xor: ( $i * $i ) > $i ).
tff(tuple_client_B_in_3,type,
tuple_client_B_in_3: $i > $i ).
tff(constr_aenc,type,
constr_aenc: ( $i * $i ) > $i ).
tff(name_new0x2Dname,type,
name_new0x2Dname: $i > $i ).
tff(constr_tuple_2_get_0x30,type,
constr_tuple_2_get_0x30: $i > $i ).
tff(pred_eq_bitstring_bitstring,type,
pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).
tff(tuple_client_A_in_4,type,
tuple_client_A_in_4: $i > $i ).
tff(constr_enc,type,
constr_enc: ( $i * $i ) > $i ).
tff(tuple_true,type,
tuple_true: $i ).
tff(f_569,negated_conjecture,
~ pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
tff(f_236,axiom,
! [VAR_X_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
tff(f_551,axiom,
! [VAR_0X40SID_577,VAR_AENC_NA_A_579,VAR_AENC_NB_578,VAR_SIGN_A_PKA_580X30] :
( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577),constr_adec(VAR_AENC_NB_578,name_skB))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).
tff(f_380,axiom,
! [VAR_V_161] :
( pred_attacker(VAR_V_161)
=> pred_attacker(tuple_client_B_in_5(VAR_V_161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
tff(f_508,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax177) ).
tff(f_285,axiom,
! [VAR_V_75] :
( pred_attacker(tuple_out_2(VAR_V_75))
=> pred_attacker(VAR_V_75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
tff(f_388,axiom,
! [VAR_V_167] :
( pred_attacker(VAR_V_167)
=> pred_attacker(tuple_client_B_in_3(VAR_V_167)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
tff(f_396,axiom,
! [VAR_V_173] :
( pred_attacker(VAR_V_173)
=> pred_attacker(tuple_client_B_in_2(VAR_V_173)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
tff(f_354,axiom,
! [VAR_V_136] :
( pred_attacker(tuple_client_B_out_6(VAR_V_136))
=> pred_attacker(VAR_V_136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
tff(c_376,plain,
~ pred_attacker(name_objective),
inference(cnfTransformation,[status(thm)],[f_569]) ).
tff(c_208,plain,
! [VAR_X_41_24,VAR_Y_42_25] : pred_eq_bitstring_bitstring(VAR_X_41_24,VAR_Y_42_25),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_370,plain,
! [VAR_SIGN_A_PKA_580X30_119,VAR_AENC_NA_A_579_117,VAR_AENC_NB_578_118,VAR_0X40SID_577_116] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30_119))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30_119,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579_117))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579_117,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578_118))
| ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577_116),constr_adec(VAR_AENC_NB_578_118,name_skB)) ),
inference(cnfTransformation,[status(thm)],[f_551]) ).
tff(c_380,plain,
! [VAR_SIGN_A_PKA_580X30_119,VAR_AENC_NA_A_579_117,VAR_AENC_NB_578_118] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30_119))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579_117))
| ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578_118)) ),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_208,c_208,c_370]) ).
tff(c_1257,plain,
! [VAR_AENC_NB_578_118] : ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578_118)),
inference(splitLeft,[status(thm)],[c_380]) ).
tff(c_276,plain,
! [VAR_V_161_70] :
( pred_attacker(tuple_client_B_in_5(VAR_V_161_70))
| ~ pred_attacker(VAR_V_161_70) ),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_1258,plain,
! [VAR_V_161_70] : ~ pred_attacker(VAR_V_161_70),
inference(negUnitSimplification,[status(thm)],[c_1257,c_276]) ).
tff(c_356,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_525,plain,
! [VAR_V_75_163] :
( pred_attacker(VAR_V_75_163)
| ~ pred_attacker(tuple_out_2(VAR_V_75_163)) ),
inference(cnfTransformation,[status(thm)],[f_285]) ).
tff(c_533,plain,
pred_attacker(constr_pkey(name_skB)),
inference(resolution,[status(thm)],[c_356,c_525]) ).
tff(c_1337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1258,c_533]) ).
tff(c_1338,plain,
! [VAR_SIGN_A_PKA_580X30_119,VAR_AENC_NA_A_579_117] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30_119))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579_117))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(splitRight,[status(thm)],[c_380]) ).
tff(c_1426,plain,
! [VAR_AENC_NA_A_579_117] : ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579_117)),
inference(splitLeft,[status(thm)],[c_1338]) ).
tff(c_280,plain,
! [VAR_V_167_72] :
( pred_attacker(tuple_client_B_in_3(VAR_V_167_72))
| ~ pred_attacker(VAR_V_167_72) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_1427,plain,
! [VAR_V_167_72] : ~ pred_attacker(VAR_V_167_72),
inference(negUnitSimplification,[status(thm)],[c_1426,c_280]) ).
tff(c_1509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1427,c_533]) ).
tff(c_1510,plain,
! [VAR_SIGN_A_PKA_580X30_119] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30_119))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(splitRight,[status(thm)],[c_1338]) ).
tff(c_1511,plain,
! [VAR_SIGN_A_PKA_580X30_119] : ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30_119)),
inference(splitLeft,[status(thm)],[c_1510]) ).
tff(c_284,plain,
! [VAR_V_173_74] :
( pred_attacker(tuple_client_B_in_2(VAR_V_173_74))
| ~ pred_attacker(VAR_V_173_74) ),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_1512,plain,
! [VAR_V_173_74] : ~ pred_attacker(VAR_V_173_74),
inference(negUnitSimplification,[status(thm)],[c_1511,c_284]) ).
tff(c_1594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1512,c_533]) ).
tff(c_1595,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(splitRight,[status(thm)],[c_1510]) ).
tff(c_264,plain,
! [VAR_V_136_61] :
( pred_attacker(VAR_V_136_61)
| ~ pred_attacker(tuple_client_B_out_6(VAR_V_136_61)) ),
inference(cnfTransformation,[status(thm)],[f_354]) ).
tff(c_1598,plain,
pred_attacker(name_objective),
inference(resolution,[status(thm)],[c_1595,c_264]) ).
tff(c_1602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_376,c_1598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW965+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 19:45:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.44/2.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.44/2.66
% 7.44/2.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.56/2.69
% 7.56/2.69 Inference rules
% 7.56/2.69 ----------------------
% 7.56/2.69 #Ref : 0
% 7.56/2.69 #Sup : 221
% 7.56/2.69 #Fact : 0
% 7.56/2.69 #Define : 0
% 7.56/2.69 #Split : 3
% 7.56/2.69 #Chain : 0
% 7.56/2.69 #Close : 0
% 7.56/2.69
% 7.56/2.69 Ordering : KBO
% 7.56/2.69
% 7.56/2.69 Simplification rules
% 7.56/2.69 ----------------------
% 7.56/2.69 #Subsume : 211
% 7.56/2.69 #Demod : 98
% 7.56/2.69 #Tautology : 161
% 7.56/2.69 #SimpNegUnit : 241
% 7.56/2.69 #BackRed : 66
% 7.56/2.69
% 7.56/2.69 #Partial instantiations: 0
% 7.56/2.69 #Strategies tried : 1
% 7.56/2.69
% 7.56/2.69 Timing (in seconds)
% 7.56/2.69 ----------------------
% 7.56/2.69 Preprocessing : 0.74
% 7.56/2.69 Parsing : 0.41
% 7.56/2.69 CNF conversion : 0.05
% 7.56/2.69 Main loop : 0.82
% 7.56/2.69 Inferencing : 0.26
% 7.56/2.69 Reduction : 0.29
% 7.56/2.69 Demodulation : 0.18
% 7.56/2.69 BG Simplification : 0.05
% 7.56/2.69 Subsumption : 0.16
% 7.56/2.69 Abstraction : 0.02
% 7.56/2.69 MUC search : 0.00
% 7.56/2.69 Cooper : 0.00
% 7.56/2.69 Total : 1.61
% 7.56/2.69 Index Insertion : 0.00
% 7.56/2.69 Index Deletion : 0.00
% 7.56/2.69 Index Matching : 0.00
% 7.56/2.69 BG Taut test : 0.00
%------------------------------------------------------------------------------