TSTP Solution File: SWW970+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW970+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 : n003.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 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 52
% Syntax : Number of formulae : 68 ( 11 unt; 46 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 10 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 32 >; 24 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 14 con; 0-5 aty)
% Number of variables : 20 ( 5 sgn; 12 !; 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_tuple_3_get_2_bitstring: $i > $i ).
tff(decl_52,type,
constr_tuple_3_get_1_bitstring: $i > $i ).
tff(decl_53,type,
constr_tuple_3_get_0x30: $i > $i ).
tff(decl_54,type,
pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).
tff(decl_55,type,
pred_attacker: $i > $o ).
tff(decl_56,type,
tuple_true: $i ).
tff(decl_57,type,
tuple_server_S_out_3: $i > $i ).
tff(decl_58,type,
tuple_server_S_out_2: $i > $i ).
tff(decl_59,type,
tuple_server_S_in_1: ( $i * $i ) > $i ).
tff(decl_60,type,
tuple_false: $i ).
tff(decl_61,type,
tuple_client_B_out_2: $i > $i ).
tff(decl_62,type,
tuple_client_B_in_1: $i > $i ).
tff(decl_63,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_64,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_65,type,
name_new0x2Dname: $i > $i ).
tff(decl_66,type,
name_Kab_54: $i > $i ).
tff(decl_67,type,
name_T_55: $i > $i ).
fof(ax135,axiom,
! [X141] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X141,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(X141)) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
fof(ax79,axiom,
! [X50,X51] : pred_eq_bitstring_bitstring(X50,X51),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(ax94,axiom,
! [X67] :
( pred_attacker(X67)
=> pred_attacker(tuple_client_B_in_1(X67)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(ax134,axiom,
! [X140] : pred_attacker(name_new0x2Dname(X140)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(ax93,axiom,
! [X66] :
( pred_attacker(tuple_client_B_out_2(X66))
=> pred_attacker(X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(c_0_6,plain,
! [X284] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X284,name_Kbs)))
| ~ pred_attacker(tuple_client_B_in_1(X284))
| pred_attacker(tuple_client_B_out_2(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax135])]) ).
fof(c_0_7,plain,
! [X193,X194] : pred_eq_bitstring_bitstring(X193,X194),
inference(variable_rename,[status(thm)],[ax79]) ).
cnf(c_0_8,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X1,name_Kbs)))
| ~ pred_attacker(tuple_client_B_in_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
pred_eq_bitstring_bitstring(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X210] :
( ~ pred_attacker(X210)
| pred_attacker(tuple_client_B_in_1(X210)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax94])]) ).
cnf(c_0_11,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_12,plain,
( pred_attacker(tuple_client_B_in_1(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X283] : pred_attacker(name_new0x2Dname(X283)),
inference(variable_rename,[status(thm)],[ax134]) ).
fof(c_0_14,plain,
! [X209] :
( ~ pred_attacker(tuple_client_B_out_2(X209))
| pred_attacker(X209) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])]) ).
cnf(c_0_15,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_18,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_B_out_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
pred_attacker(tuple_client_B_out_2(name_objective)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW970+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 20:35:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.011000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.015000 s
%------------------------------------------------------------------------------