TSTP Solution File: SWW963+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW963+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/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 : n018.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 11:08:25 EDT 2023
% Result : Theorem 7.06s 2.49s
% Output : CNFRefutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 74
% Syntax : Number of formulae : 99 ( 19 unt; 65 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 : 82 ( 50 >; 32 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 15 con; 0-5 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pred_mess > pred_equal > pred_eq_bitstring_bitstring > pred_table > pred_attacker > constr_ecb_enc_4 > tuple_4 > constr_ecb_enc_3 > tuple_3 > constr_ecb_enc_2 > 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_sign > constr_enc > constr_ecb_enc_1 > constr_ecb_dec_4 > constr_ecb_dec_3 > constr_ecb_dec_2 > constr_ecb_dec_1 > constr_dec > constr_checksign > #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_3_get_2 > constr_tuple_3_get_1_bitstring > constr_tuple_3_get_0x30 > 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_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(constr_ecb_enc_2,type,
constr_ecb_enc_2: ( $i * $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(constr_tuple_3_get_1_bitstring,type,
constr_tuple_3_get_1_bitstring: $i > $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(constr_ecb_dec_1,type,
constr_ecb_dec_1: ( $i * $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_ecb_enc_1,type,
constr_ecb_enc_1: ( $i * $i ) > $i ).
tff(constr_ecb_enc_4,type,
constr_ecb_enc_4: ( $i * $i * $i * $i * $i ) > $i ).
tff(pred_attacker,type,
pred_attacker: $i > $o ).
tff(tuple_false,type,
tuple_false: $i ).
tff(constr_ecb_dec_2,type,
constr_ecb_dec_2: ( $i * $i ) > $i ).
tff(constr_tuple_3_get_0x30,type,
constr_tuple_3_get_0x30: $i > $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_CONST_4,type,
constr_CONST_4: $i ).
tff(constr_ecb_enc_3,type,
constr_ecb_enc_3: ( $i * $i * $i * $i ) > $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(constr_ecb_dec_4,type,
constr_ecb_dec_4: ( $i * $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(tuple_client_B_in_3,type,
tuple_client_B_in_3: $i > $i ).
tff(constr_tuple_3_get_2,type,
constr_tuple_3_get_2: $i > $i ).
tff(constr_ecb_dec_3,type,
constr_ecb_dec_3: ( $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_3,type,
tuple_3: ( $i * $i * $i ) > $i ).
tff(tuple_4,type,
tuple_4: ( $i * $i * $i * $i ) > $i ).
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_655,negated_conjecture,
~ pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
tff(f_221,axiom,
! [VAR_X_65,VAR_Y_66] : pred_eq_bitstring_bitstring(VAR_X_65,VAR_Y_66),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
tff(f_637,axiom,
! [VAR_0X40SID_717,VAR_ECB_ENC_NA_A_719,VAR_ECB_ENC_NB_718,VAR_SIGN_A_PKA_720X30] :
( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_717),constr_ecb_dec_1(VAR_ECB_ENC_NB_718,name_skB))
& pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(VAR_ECB_ENC_NA_A_719,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_720X30,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
tff(f_431,axiom,
! [VAR_V_231] :
( pred_attacker(VAR_V_231)
=> pred_attacker(tuple_client_B_in_5(VAR_V_231)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
tff(f_591,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).
tff(f_284,axiom,
! [VAR_V_10X307] :
( pred_attacker(tuple_out_1(VAR_V_10X307))
=> pred_attacker(VAR_V_10X307) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
tff(f_439,axiom,
! [VAR_V_237] :
( pred_attacker(VAR_V_237)
=> pred_attacker(tuple_client_B_in_3(VAR_V_237)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
tff(f_447,axiom,
! [VAR_V_243] :
( pred_attacker(VAR_V_243)
=> pred_attacker(tuple_client_B_in_2(VAR_V_243)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
tff(f_405,axiom,
! [VAR_V_20X306] :
( pred_attacker(tuple_client_B_out_6(VAR_V_20X306))
=> pred_attacker(VAR_V_20X306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
tff(c_392,plain,
~ pred_attacker(name_objective),
inference(cnfTransformation,[status(thm)],[f_655]) ).
tff(c_192,plain,
! [VAR_X_65_50,VAR_Y_66_51] : pred_eq_bitstring_bitstring(VAR_X_65_50,VAR_Y_66_51),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_386,plain,
! [VAR_SIGN_A_PKA_720X30_196,VAR_ECB_ENC_NA_A_719_194,VAR_ECB_ENC_NB_718_195,VAR_0X40SID_717_193] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30_196))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_720X30_196,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719_194))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(VAR_ECB_ENC_NA_A_719_194,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718_195))
| ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_717_193),constr_ecb_dec_1(VAR_ECB_ENC_NB_718_195,name_skB)) ),
inference(cnfTransformation,[status(thm)],[f_637]) ).
tff(c_396,plain,
! [VAR_SIGN_A_PKA_720X30_196,VAR_ECB_ENC_NA_A_719_194,VAR_ECB_ENC_NB_718_195] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30_196))
| ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719_194))
| ~ pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718_195)) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_192,c_192,c_386]) ).
tff(c_875,plain,
! [VAR_ECB_ENC_NB_718_195] : ~ pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718_195)),
inference(splitLeft,[status(thm)],[c_396]) ).
tff(c_280,plain,
! [VAR_V_231_119] :
( pred_attacker(tuple_client_B_in_5(VAR_V_231_119))
| ~ pred_attacker(VAR_V_231_119) ),
inference(cnfTransformation,[status(thm)],[f_431]) ).
tff(c_893,plain,
! [VAR_V_231_119] : ~ pred_attacker(VAR_V_231_119),
inference(negUnitSimplification,[status(thm)],[c_875,c_280]) ).
tff(c_370,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_432,plain,
! [VAR_V_10X307_218] :
( pred_attacker(VAR_V_10X307_218)
| ~ pred_attacker(tuple_out_1(VAR_V_10X307_218)) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_436,plain,
pred_attacker(constr_pkey(name_skA)),
inference(resolution,[status(thm)],[c_370,c_432]) ).
tff(c_988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_893,c_436]) ).
tff(c_989,plain,
! [VAR_SIGN_A_PKA_720X30_196,VAR_ECB_ENC_NA_A_719_194] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30_196))
| ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719_194))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(splitRight,[status(thm)],[c_396]) ).
tff(c_990,plain,
! [VAR_ECB_ENC_NA_A_719_194] : ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719_194)),
inference(splitLeft,[status(thm)],[c_989]) ).
tff(c_284,plain,
! [VAR_V_237_121] :
( pred_attacker(tuple_client_B_in_3(VAR_V_237_121))
| ~ pred_attacker(VAR_V_237_121) ),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_991,plain,
! [VAR_V_237_121] : ~ pred_attacker(VAR_V_237_121),
inference(negUnitSimplification,[status(thm)],[c_990,c_284]) ).
tff(c_1085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_436]) ).
tff(c_1086,plain,
! [VAR_SIGN_A_PKA_720X30_196] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30_196))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(splitRight,[status(thm)],[c_989]) ).
tff(c_1087,plain,
! [VAR_SIGN_A_PKA_720X30_196] : ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30_196)),
inference(splitLeft,[status(thm)],[c_1086]) ).
tff(c_288,plain,
! [VAR_V_243_123] :
( pred_attacker(tuple_client_B_in_2(VAR_V_243_123))
| ~ pred_attacker(VAR_V_243_123) ),
inference(cnfTransformation,[status(thm)],[f_447]) ).
tff(c_1088,plain,
! [VAR_V_243_123] : ~ pred_attacker(VAR_V_243_123),
inference(negUnitSimplification,[status(thm)],[c_1087,c_288]) ).
tff(c_1182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1088,c_436]) ).
tff(c_1183,plain,
pred_attacker(tuple_client_B_out_6(name_objective)),
inference(splitRight,[status(thm)],[c_1086]) ).
tff(c_268,plain,
! [VAR_V_20X306_110] :
( pred_attacker(VAR_V_20X306_110)
| ~ pred_attacker(tuple_client_B_out_6(VAR_V_20X306_110)) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_1186,plain,
pred_attacker(name_objective),
inference(resolution,[status(thm)],[c_1183,c_268]) ).
tff(c_1190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_392,c_1186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW963+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/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
% 0.17/0.35 % Computer : n018.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 19:18:21 EDT 2023
% 0.17/0.35 % CPUTime :
% 7.06/2.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.06/2.50
% 7.06/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.06/2.52
% 7.06/2.52 Inference rules
% 7.06/2.52 ----------------------
% 7.06/2.52 #Ref : 0
% 7.06/2.52 #Sup : 104
% 7.06/2.52 #Fact : 0
% 7.06/2.52 #Define : 0
% 7.06/2.52 #Split : 3
% 7.06/2.52 #Chain : 0
% 7.06/2.52 #Close : 0
% 7.06/2.52
% 7.06/2.52 Ordering : KBO
% 7.06/2.52
% 7.06/2.52 Simplification rules
% 7.06/2.52 ----------------------
% 7.06/2.52 #Subsume : 246
% 7.06/2.52 #Demod : 13
% 7.06/2.52 #Tautology : 74
% 7.06/2.52 #SimpNegUnit : 281
% 7.06/2.52 #BackRed : 63
% 7.06/2.52
% 7.06/2.52 #Partial instantiations: 0
% 7.06/2.52 #Strategies tried : 1
% 7.06/2.52
% 7.06/2.52 Timing (in seconds)
% 7.06/2.52 ----------------------
% 7.22/2.53 Preprocessing : 0.72
% 7.22/2.53 Parsing : 0.39
% 7.22/2.53 CNF conversion : 0.05
% 7.22/2.53 Main loop : 0.74
% 7.22/2.53 Inferencing : 0.25
% 7.22/2.53 Reduction : 0.24
% 7.22/2.53 Demodulation : 0.14
% 7.22/2.53 BG Simplification : 0.04
% 7.22/2.53 Subsumption : 0.15
% 7.22/2.53 Abstraction : 0.02
% 7.22/2.53 MUC search : 0.00
% 7.22/2.53 Cooper : 0.00
% 7.22/2.53 Total : 1.51
% 7.22/2.53 Index Insertion : 0.00
% 7.22/2.53 Index Deletion : 0.00
% 7.22/2.53 Index Matching : 0.00
% 7.22/2.53 BG Taut test : 0.00
%------------------------------------------------------------------------------