TSTP Solution File: SWW962+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW962+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 : n025.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 8.52s 2.98s
% Output : CNFRefutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 66
% Syntax : Number of formulae : 92 ( 31 unt; 58 typ; 0 def)
% Number of atoms : 39 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 3 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 42 >; 16 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 16 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 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_assoc_pair > tuple_2 > 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_0x30 > constr_pkey > constr_getmess > constr_assoc_pair_2_get_1_bitstring > constr_assoc_pair_2_get_1 > constr_assoc_pair_2_get_0x30_bitstring > constr_assoc_pair_2_get_0x30 > 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 > #skF_1
%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_assoc_pair,type,
tuple_assoc_pair: ( $i * $i ) > $i ).
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(name_B,type,
name_B: $i ).
tff(constr_checksign,type,
constr_checksign: ( $i * $i ) > $i ).
tff(constr_CONST_4,type,
constr_CONST_4: $i ).
tff('#skF_1',type,
'#skF_1': $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(constr_assoc_pair_2_get_1_bitstring,type,
constr_assoc_pair_2_get_1_bitstring: $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_assoc_pair_2_get_0x30_bitstring,type,
constr_assoc_pair_2_get_0x30_bitstring: $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_aenc,type,
constr_aenc: ( $i * $i ) > $i ).
tff(constr_assoc_pair_2_get_1,type,
constr_assoc_pair_2_get_1: $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(constr_assoc_pair_2_get_0x30,type,
constr_assoc_pair_2_get_0x30: $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_488,axiom,
pred_attacker(name_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).
tff(f_206,axiom,
! [VAR_X0X30_9,VAR_X1_10X30] : ( constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
tff(f_198,axiom,
! [VAR_X_17,VAR_Y_18,VAR_Z_0X30] : ( tuple_assoc_pair(VAR_X_17,tuple_assoc_pair(VAR_Y_18,VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17,VAR_Y_18),VAR_Z_0X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
tff(f_200,axiom,
! [VAR_X0X30_15,VAR_X1_16] : ( constr_assoc_pair_2_get_1_bitstring(tuple_assoc_pair(VAR_X0X30_15,VAR_X1_16)) = VAR_X1_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
tff(f_459,axiom,
pred_attacker(constr_CONST_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).
tff(f_202,axiom,
! [VAR_X0X30_13,VAR_X1_14] : ( constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
tff(f_467,axiom,
! [VAR_V_253,VAR_V_254] :
( ( pred_attacker(VAR_V_253)
& pred_attacker(VAR_V_254) )
=> pred_attacker(tuple_2(VAR_V_253,VAR_V_254)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).
tff(f_563,negated_conjecture,
~ ! [VAR_V_711] : pred_attacker(tuple_2(name_Nb(VAR_V_711),name_objective)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
tff(c_316,plain,
pred_attacker(name_c),
inference(cnfTransformation,[status(thm)],[f_488]) ).
tff(c_174,plain,
! [VAR_X0X30_9_18,VAR_X1_10X30_19] : ( constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9_18,VAR_X1_10X30_19)) = VAR_X0X30_9_18 ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_2225,plain,
! [VAR_X_17_17839,VAR_Y_18_17840,VAR_Z_0X30_17841] : ( tuple_assoc_pair(tuple_assoc_pair(VAR_X_17_17839,VAR_Y_18_17840),VAR_Z_0X30_17841) = tuple_assoc_pair(VAR_X_17_17839,tuple_assoc_pair(VAR_Y_18_17840,VAR_Z_0X30_17841)) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_2243,plain,
! [VAR_X_17_17839,VAR_Y_18_17840,VAR_Z_0X30_17841] : ( constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X_17_17839,tuple_assoc_pair(VAR_Y_18_17840,VAR_Z_0X30_17841))) = tuple_assoc_pair(VAR_X_17_17839,VAR_Y_18_17840) ),
inference(superposition,[status(thm),theory(equality)],[c_2225,c_174]) ).
tff(c_2261,plain,
! [VAR_X_17_17839,VAR_Y_18_17840] : ( tuple_assoc_pair(VAR_X_17_17839,VAR_Y_18_17840) = VAR_X_17_17839 ),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_2243]) ).
tff(c_168,plain,
! [VAR_X0X30_15_12,VAR_X1_16_13] : ( constr_assoc_pair_2_get_1_bitstring(tuple_assoc_pair(VAR_X0X30_15_12,VAR_X1_16_13)) = VAR_X1_16_13 ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_2306,plain,
! [VAR_X0X30_15_17848] : ( constr_assoc_pair_2_get_1_bitstring(VAR_X0X30_15_17848) = name_c ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_168]) ).
tff(c_2270,plain,
! [VAR_X0X30_15_12,VAR_X1_16_13] : ( constr_assoc_pair_2_get_1_bitstring(VAR_X0X30_15_12) = VAR_X1_16_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_168]) ).
tff(c_3201,plain,
! [VAR_X1_16_26600] : ( name_c = VAR_X1_16_26600 ),
inference(superposition,[status(thm),theory(equality)],[c_2306,c_2270]) ).
tff(c_300,plain,
pred_attacker(constr_CONST_2),
inference(cnfTransformation,[status(thm)],[f_459]) ).
tff(c_170,plain,
! [VAR_X0X30_13_14,VAR_X1_14_15] : ( constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(VAR_X0X30_13_14,VAR_X1_14_15)) = VAR_X0X30_13_14 ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_703,plain,
! [VAR_X_17_247,VAR_Y_18_248,VAR_Z_0X30_249] : ( tuple_assoc_pair(tuple_assoc_pair(VAR_X_17_247,VAR_Y_18_248),VAR_Z_0X30_249) = tuple_assoc_pair(VAR_X_17_247,tuple_assoc_pair(VAR_Y_18_248,VAR_Z_0X30_249)) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_727,plain,
! [VAR_X_17_247,VAR_Y_18_248,VAR_Z_0X30_249] : ( constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(VAR_X_17_247,tuple_assoc_pair(VAR_Y_18_248,VAR_Z_0X30_249))) = tuple_assoc_pair(VAR_X_17_247,VAR_Y_18_248) ),
inference(superposition,[status(thm),theory(equality)],[c_703,c_170]) ).
tff(c_740,plain,
! [VAR_X_17_247,VAR_Y_18_248] : ( tuple_assoc_pair(VAR_X_17_247,VAR_Y_18_248) = VAR_X_17_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_727]) ).
tff(c_873,plain,
! [VAR_X0X30_15_257] : ( constr_assoc_pair_2_get_1_bitstring(VAR_X0X30_15_257) = constr_CONST_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_740,c_168]) ).
tff(c_833,plain,
! [VAR_X0X30_15_12,VAR_X1_16_13] : ( constr_assoc_pair_2_get_1_bitstring(VAR_X0X30_15_12) = VAR_X1_16_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_740,c_168]) ).
tff(c_1763,plain,
! [VAR_X1_16_9026] : ( constr_CONST_2 = VAR_X1_16_9026 ),
inference(superposition,[status(thm),theory(equality)],[c_873,c_833]) ).
tff(c_654,plain,
! [VAR_V_253_231,VAR_V_254_232] :
( pred_attacker(tuple_2(VAR_V_253_231,VAR_V_254_232))
| ~ pred_attacker(VAR_V_254_232)
| ~ pred_attacker(VAR_V_253_231) ),
inference(cnfTransformation,[status(thm)],[f_467]) ).
tff(c_354,plain,
~ pred_attacker(tuple_2(name_Nb('#skF_1'),name_objective)),
inference(cnfTransformation,[status(thm)],[f_563]) ).
tff(c_666,plain,
( ~ pred_attacker(name_objective)
| ~ pred_attacker(name_Nb('#skF_1')) ),
inference(resolution,[status(thm)],[c_654,c_354]) ).
tff(c_668,plain,
~ pred_attacker(name_Nb('#skF_1')),
inference(splitLeft,[status(thm)],[c_666]) ).
tff(c_1796,plain,
~ pred_attacker(constr_CONST_2),
inference(superposition,[status(thm),theory(equality)],[c_1763,c_668]) ).
tff(c_2188,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_300,c_1796]) ).
tff(c_2189,plain,
~ pred_attacker(name_objective),
inference(splitRight,[status(thm)],[c_666]) ).
tff(c_3254,plain,
~ pred_attacker(name_c),
inference(superposition,[status(thm),theory(equality)],[c_3201,c_2189]) ).
tff(c_3599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_316,c_3254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW962+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
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 19:43:49 EDT 2023
% 0.14/0.37 % CPUTime :
% 8.52/2.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.52/2.99
% 8.52/2.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.52/3.02
% 8.52/3.02 Inference rules
% 8.52/3.02 ----------------------
% 8.52/3.02 #Ref : 0
% 8.52/3.02 #Sup : 1006
% 8.52/3.02 #Fact : 0
% 8.52/3.02 #Define : 0
% 8.52/3.02 #Split : 2
% 8.52/3.02 #Chain : 0
% 8.52/3.02 #Close : 0
% 8.52/3.02
% 8.52/3.02 Ordering : KBO
% 8.52/3.02
% 8.52/3.02 Simplification rules
% 8.52/3.02 ----------------------
% 8.52/3.02 #Subsume : 107
% 8.52/3.02 #Demod : 98
% 8.52/3.02 #Tautology : 120
% 8.52/3.02 #SimpNegUnit : 82
% 8.52/3.02 #BackRed : 31
% 8.52/3.02
% 8.52/3.02 #Partial instantiations: 20712
% 8.52/3.02 #Strategies tried : 1
% 8.52/3.02
% 8.52/3.02 Timing (in seconds)
% 8.52/3.02 ----------------------
% 8.52/3.02 Preprocessing : 0.75
% 8.52/3.02 Parsing : 0.40
% 8.52/3.02 CNF conversion : 0.06
% 8.52/3.03 Main loop : 1.21
% 8.52/3.03 Inferencing : 0.58
% 8.52/3.03 Reduction : 0.31
% 8.52/3.03 Demodulation : 0.20
% 8.52/3.03 BG Simplification : 0.05
% 8.52/3.03 Subsumption : 0.17
% 8.52/3.03 Abstraction : 0.03
% 8.52/3.03 MUC search : 0.00
% 8.52/3.03 Cooper : 0.00
% 8.52/3.03 Total : 2.01
% 8.52/3.03 Index Insertion : 0.00
% 8.52/3.03 Index Deletion : 0.00
% 8.52/3.03 Index Matching : 0.00
% 8.52/3.03 BG Taut test : 0.00
%------------------------------------------------------------------------------