%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW967+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Fri Jul 25 05:05:05 PM UTC 2025
% Result : Theorem 1.96s 0.58s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 29 unt; 0 def)
% Number of atoms : 86 ( 6 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 68 ( 29 ~; 26 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 47 ( 13 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co0,plain,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(co0_negated,plain,
~ pred_attacker(name_objective),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(174,plain,
~ pred_attacker(name_objective),
inference(cnf,[status(esa)],[co0_negated]) ).
cnf(l0,plain,
~ pred_attacker(name_objective),
inference(instantiation,[status(thm)],[174]) ).
fof(ax109,plain,
! [VAR_V_172] :
( pred_attacker(tuple_client_A_out_9(VAR_V_172))
=> pred_attacker(VAR_V_172) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
cnf(109,plain,
( ~ pred_attacker(tuple_client_A_out_9(X0))
| pred_attacker(X0) ),
inference(cnf,[status(esa)],[ax109]) ).
cnf(l1,plain,
( ~ pred_attacker(tuple_client_A_out_9(name_objective))
| pred_attacker(name_objective) ),
inference(instantiation,[status(thm)],[109]) ).
fof(ax171,plain,
! [VAR_0X40SID_598,VAR_ENC_KAB_A0X27_60X300X30,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_ENC_NB_596,VAR_ENC_SUCC_NA0X27_599] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_0X40SID_598)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas))))
& pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
cnf(171,plain,
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X0,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X2,X1,X3)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))))
| ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(cnf,[status(esa)],[ax171]) ).
cnf(l2,plain,
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(name_B,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(constr_CONST_4,name_Kas)))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(name_I,constr_CONST_4,X3_2)),constr_cbc_dec_1(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(name_B,name_Kas))))
| ~ pred_eq_bitstring_bitstring(name_Na(X3_2),constr_tuple_4_get_0x30(constr_cbc_dec_4(constr_CONST_4,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(name_B))
| ~ pred_attacker(tuple_client_A_in_4(name_I))
| ~ pred_attacker(tuple_client_A_in_8(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25))))
| ~ pred_attacker(tuple_client_A_in_2(constr_CONST_4))
| pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(instantiation,[status(thm)],[171]) ).
fof(ax83,plain,
! [VAR_X_81,VAR_Y_82] : pred_eq_bitstring_bitstring(VAR_X_81,VAR_Y_82),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
cnf(83,plain,
pred_eq_bitstring_bitstring(X0,X1),
inference(cnf,[status(esa)],[ax83]) ).
cnf(l7,plain,
pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(constr_CONST_4,name_Kas))),
inference(instantiation,[status(thm)],[83]) ).
fof(ax79,plain,
! [VAR_X0X30_13,VAR_X1_14] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
cnf(79,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(cnf,[status(esa)],[ax79]) ).
cnf(l21,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(tuple_succ(name_Na0x27(name_I,constr_CONST_4,X3_2)),X1_21)) = tuple_succ(name_Na0x27(name_I,constr_CONST_4,X3_2)),
inference(instantiation,[status(thm)],[79]) ).
cnf(l3,plain,
pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(name_B,name_Kas))),
inference(instantiation,[status(thm)],[83]) ).
cnf(l17,plain,
pred_eq_bitstring_bitstring(constr_tuple_2_get_0x30_bitstring(tuple_2(tuple_succ(name_Na0x27(name_I,constr_CONST_4,X3_2)),X1_21)),constr_tuple_2_get_1(tuple_2(X0_23,constr_cbc_dec_1(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(name_B,name_Kas)))))),
inference(instantiation,[status(thm)],[83]) ).
cnf(l18,plain,
pred_eq_bitstring_bitstring(name_Na(X3_2),constr_tuple_4_get_0x30(constr_cbc_dec_4(constr_CONST_4,name_Kas))),
inference(instantiation,[status(thm)],[83]) ).
fof(ax82,plain,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X1_0X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
cnf(82,plain,
constr_tuple_2_get_1(tuple_2(X0,X1)) = X1,
inference(cnf,[status(esa)],[ax82]) ).
cnf(l23,plain,
constr_tuple_2_get_1(tuple_2(X0_23,constr_cbc_dec_1(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(name_B,name_Kas))))) = constr_cbc_dec_1(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(name_B,name_Kas))),
inference(instantiation,[status(thm)],[82]) ).
fof(ax120,plain,
! [VAR_V_223] :
( pred_attacker(VAR_V_223)
=> pred_attacker(tuple_client_A_in_8(VAR_V_223)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
cnf(120,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_8(X0)) ),
inference(cnf,[status(esa)],[ax120]) ).
cnf(l24,plain,
( ~ pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)))
| pred_attacker(tuple_client_A_in_8(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25)))) ),
inference(instantiation,[status(thm)],[120]) ).
fof(ax167,plain,
! [VAR_0X40SID_420X30] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(VAR_0X40SID_420X30))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
cnf(167,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0))),
inference(cnf,[status(esa)],[ax167]) ).
cnf(l25,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0_25))),
inference(instantiation,[status(thm)],[167]) ).
fof(ax124,plain,
! [VAR_V_235] :
( pred_attacker(VAR_V_235)
=> pred_attacker(tuple_client_A_in_4(VAR_V_235)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
cnf(124,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_4(X0)) ),
inference(cnf,[status(esa)],[ax124]) ).
cnf(l20,plain,
( ~ pred_attacker(name_I)
| pred_attacker(tuple_client_A_in_4(name_I)) ),
inference(instantiation,[status(thm)],[124]) ).
fof(ax122,plain,
! [VAR_V_229] :
( pred_attacker(VAR_V_229)
=> pred_attacker(tuple_client_A_in_6(VAR_V_229)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
cnf(122,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_6(X0)) ),
inference(cnf,[status(esa)],[ax122]) ).
cnf(l15,plain,
( ~ pred_attacker(name_B)
| pred_attacker(tuple_client_A_in_6(name_B)) ),
inference(instantiation,[status(thm)],[122]) ).
fof(ax163,plain,
pred_attacker(name_B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax163) ).
cnf(163,plain,
pred_attacker(name_B),
inference(cnf,[status(esa)],[ax163]) ).
cnf(l16,plain,
pred_attacker(name_B),
inference(instantiation,[status(thm)],[163]) ).
fof(ax162,plain,
pred_attacker(name_I),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
cnf(162,plain,
pred_attacker(name_I),
inference(cnf,[status(esa)],[ax162]) ).
cnf(l22,plain,
pred_attacker(name_I),
inference(instantiation,[status(thm)],[162]) ).
fof(ax126,plain,
! [VAR_V_241] :
( pred_attacker(VAR_V_241)
=> pred_attacker(tuple_client_A_in_2(VAR_V_241)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
cnf(126,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_in_2(X0)) ),
inference(cnf,[status(esa)],[ax126]) ).
cnf(l19,plain,
( ~ pred_attacker(constr_CONST_4)
| pred_attacker(tuple_client_A_in_2(constr_CONST_4)) ),
inference(instantiation,[status(thm)],[126]) ).
fof(ax142,plain,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
cnf(142,plain,
pred_attacker(constr_CONST_4),
inference(cnf,[status(esa)],[ax142]) ).
cnf(l29,plain,
pred_attacker(constr_CONST_4),
inference(instantiation,[status(thm)],[142]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l21,l3,l17,l18,l23,l24,l25,l20,l15,l16,l22,l19,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW967+1 : TPTP v9.0.0. Released v7.4.0.
% 0.02/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Jul 22 15:02:49 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.14/0.31 % launching worker at depth: 10
% 0.14/0.41 % launching worker at depth: 11
% 1.96/0.58 % SZS status Theorem for theBenchmark
% 1.96/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------