TSTP Solution File: SWW967+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Fri Sep 1 00:19:23 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 73
% Syntax : Number of formulae : 101 ( 12 unt; 63 typ; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 94 ( 41 ~; 39 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 49 >; 31 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 14 con; 0-5 aty)
% Number of variables : 60 ( 17 sgn; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
constr_CONST_0x30: $i ).
tff(decl_23,type,
constr_CONST_1: $i ).
tff(decl_24,type,
constr_CONST_2: $i ).
tff(decl_25,type,
constr_CONST_3: $i ).
tff(decl_26,type,
constr_CONST_4: $i ).
tff(decl_27,type,
name_A: $i ).
tff(decl_28,type,
name_B: $i ).
tff(decl_29,type,
name_I: $i ).
tff(decl_30,type,
name_Kas: $i ).
tff(decl_31,type,
name_Kbs: $i ).
tff(decl_32,type,
name_c: $i ).
tff(decl_33,type,
name_objective: $i ).
tff(decl_34,type,
constr_cbc_enc_4: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
constr_cbc_dec_4: ( $i * $i ) > $i ).
tff(decl_36,type,
tuple_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
constr_cbc_enc_3: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
constr_cbc_dec_3: ( $i * $i ) > $i ).
tff(decl_39,type,
tuple_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
constr_cbc_enc_2: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
constr_cbc_dec_2: ( $i * $i ) > $i ).
tff(decl_42,type,
tuple_2: ( $i * $i ) > $i ).
tff(decl_43,type,
constr_cbc_enc_1: ( $i * $i ) > $i ).
tff(decl_44,type,
constr_cbc_dec_1: ( $i * $i ) > $i ).
tff(decl_45,type,
constr_cbc_4_get_3_prefixes: $i > $i ).
tff(decl_46,type,
constr_cbc_4_get_2_prefixes: $i > $i ).
tff(decl_47,type,
constr_cbc_4_get_1_prefixes: $i > $i ).
tff(decl_48,type,
constr_cbc_3_get_2_prefixes: $i > $i ).
tff(decl_49,type,
constr_cbc_3_get_1_prefixes: $i > $i ).
tff(decl_50,type,
constr_cbc_2_get_1_prefixes: $i > $i ).
tff(decl_51,type,
constr_enc: ( $i * $i ) > $i ).
tff(decl_52,type,
constr_dec: ( $i * $i ) > $i ).
tff(decl_53,type,
constr_tuple_4_get_3_bitstring: $i > $i ).
tff(decl_54,type,
constr_tuple_4_get_2_bitstring: $i > $i ).
tff(decl_55,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
tff(decl_56,type,
constr_tuple_4_get_1: $i > $i ).
tff(decl_57,type,
constr_tuple_4_get_0x30: $i > $i ).
tff(decl_58,type,
constr_tuple_2_get_1: $i > $i ).
tff(decl_59,type,
pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).
tff(decl_60,type,
pred_attacker: $i > $o ).
tff(decl_61,type,
tuple_true: $i ).
tff(decl_62,type,
tuple_succ: $i > $i ).
tff(decl_63,type,
tuple_server_S_out_2: $i > $i ).
tff(decl_64,type,
tuple_server_S_in_1: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
tuple_false: $i ).
tff(decl_66,type,
tuple_client_B_out_2: $i > $i ).
tff(decl_67,type,
tuple_client_B_in_3: $i > $i ).
tff(decl_68,type,
tuple_client_B_in_1: $i > $i ).
tff(decl_69,type,
tuple_client_A_out_9: $i > $i ).
tff(decl_70,type,
tuple_client_A_out_7: $i > $i ).
tff(decl_71,type,
tuple_client_A_out_5: $i > $i ).
tff(decl_72,type,
tuple_client_A_out_3: $i > $i ).
tff(decl_73,type,
tuple_client_A_out_1: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
tuple_client_A_in_8: $i > $i ).
tff(decl_75,type,
tuple_client_A_in_6: $i > $i ).
tff(decl_76,type,
tuple_client_A_in_4: $i > $i ).
tff(decl_77,type,
tuple_client_A_in_2: $i > $i ).
tff(decl_78,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_79,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_80,type,
name_new0x2Dname: $i > $i ).
tff(decl_81,type,
name_Na: $i > $i ).
tff(decl_82,type,
name_Na0x27: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
name_Nb_63: $i > $i ).
tff(decl_84,type,
name_Kab_66: $i > $i ).
fof(ax171,axiom,
! [X207,X208,X209,X210,X211] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X210,X209,X207)),constr_cbc_dec_1(X211,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X208,name_Kas))))
& pred_attacker(tuple_client_A_in_8(X211))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X208,name_Kas)))
& pred_attacker(tuple_client_A_in_6(X208))
& pred_attacker(tuple_client_A_in_4(X210))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X209,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(X207),constr_tuple_4_get_0x30(constr_cbc_dec_4(X209,name_Kas)))
& pred_attacker(tuple_client_A_in_2(X209)) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).
fof(ax83,axiom,
! [X63,X64] : pred_eq_bitstring_bitstring(X63,X64),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(ax120,axiom,
! [X117] :
( pred_attacker(X117)
=> pred_attacker(tuple_client_A_in_8(X117)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
fof(ax122,axiom,
! [X119] :
( pred_attacker(X119)
=> pred_attacker(tuple_client_A_in_6(X119)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
fof(ax124,axiom,
! [X121] :
( pred_attacker(X121)
=> pred_attacker(tuple_client_A_in_4(X121)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
fof(ax126,axiom,
! [X123] :
( pred_attacker(X123)
=> pred_attacker(tuple_client_A_in_2(X123)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
fof(ax119,axiom,
! [X114,X115,X116] :
( pred_attacker(tuple_client_A_out_1(X114,X115,X116))
=> pred_attacker(X116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
fof(ax167,axiom,
! [X197] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X197))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
fof(ax109,axiom,
! [X98] :
( pred_attacker(tuple_client_A_out_9(X98))
=> pred_attacker(X98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(c_0_10,plain,
! [X424,X425,X426,X427,X428] :
( ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X427,X426,X424)),constr_cbc_dec_1(X428,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X425,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X428))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X425,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X425))
| ~ pred_attacker(tuple_client_A_in_4(X427))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X426,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X424),constr_tuple_4_get_0x30(constr_cbc_dec_4(X426,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X426))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax171])]) ).
fof(c_0_11,plain,
! [X280,X281] : pred_eq_bitstring_bitstring(X280,X281),
inference(variable_rename,[status(thm)],[ax83]) ).
cnf(c_0_12,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X2,X3)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X5,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X334] :
( ~ pred_attacker(X334)
| pred_attacker(tuple_client_A_in_8(X334)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax120])]) ).
cnf(c_0_15,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_6(X5))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_16,plain,
( pred_attacker(tuple_client_A_in_8(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X336] :
( ~ pred_attacker(X336)
| pred_attacker(tuple_client_A_in_6(X336)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax122])]) ).
cnf(c_0_18,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X3)) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,plain,
( pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X338] :
( ~ pred_attacker(X338)
| pred_attacker(tuple_client_A_in_4(X338)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax124])]) ).
cnf(c_0_21,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_22,plain,
( pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X340] :
( ~ pred_attacker(X340)
| pred_attacker(tuple_client_A_in_2(X340)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])]) ).
fof(c_0_24,plain,
! [X331,X332,X333] :
( ~ pred_attacker(tuple_client_A_out_1(X331,X332,X333))
| pred_attacker(X333) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])]) ).
fof(c_0_25,plain,
! [X414] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X414))),
inference(variable_rename,[status(thm)],[ax167]) ).
cnf(c_0_26,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_27,plain,
( pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( pred_attacker(X3)
| ~ pred_attacker(tuple_client_A_out_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X1))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X315] :
( ~ pred_attacker(tuple_client_A_out_9(X315))
| pred_attacker(X315) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax109])]) ).
cnf(c_0_31,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
pred_attacker(name_Na(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_33,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_34,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_9(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
pred_attacker(tuple_client_A_out_9(name_objective)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.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 : Sun Aug 27 20:02:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.026000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.031000 s
%------------------------------------------------------------------------------