%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW965+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Fri Jul 25 05:05:05 PM UTC 2025
% Result : Theorem 3.43s 0.77s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 29 unt; 0 def)
% Number of atoms : 74 ( 12 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 53 ( 23 ~; 20 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 11 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co0,plain,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(co0_negated,plain,
~ pred_attacker(name_objective),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(187,plain,
~ pred_attacker(name_objective),
inference(cnf,[status(esa)],[co0_negated]) ).
cnf(l0,plain,
~ pred_attacker(name_objective),
inference(instantiation,[status(thm)],[187]) ).
fof(ax131,plain,
! [VAR_V_136] :
( pred_attacker(tuple_client_B_out_6(VAR_V_136))
=> pred_attacker(VAR_V_136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
cnf(131,plain,
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf,[status(esa)],[ax131]) ).
cnf(l1,plain,
( ~ pred_attacker(tuple_client_B_out_6(name_objective))
| pred_attacker(name_objective) ),
inference(instantiation,[status(thm)],[131]) ).
fof(ax184,plain,
! [VAR_0X40SID_577,VAR_AENC_NA_A_579,VAR_AENC_NB_578,VAR_SIGN_A_PKA_580X30] :
( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577),constr_adec(VAR_AENC_NB_578,name_skB))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).
cnf(184,plain,
( ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X3),constr_adec(X1,name_skB))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(cnf,[status(esa)],[ax184]) ).
cnf(l2,plain,
( ~ pred_attacker(tuple_client_B_in_3(name_I))
| ~ pred_attacker(tuple_client_B_in_5(name_I))
| ~ pred_attacker(tuple_client_B_in_2(constr_CONST_1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(name_I,name_skB)))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(constr_CONST_1,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X3_2),constr_adec(name_I,name_skB))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(instantiation,[status(thm)],[184]) ).
fof(ax139,plain,
! [VAR_V_167] :
( pred_attacker(VAR_V_167)
=> pred_attacker(tuple_client_B_in_3(VAR_V_167)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
cnf(139,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_in_3(X0)) ),
inference(cnf,[status(esa)],[ax139]) ).
cnf(l3,plain,
( ~ pred_attacker(name_I)
| pred_attacker(tuple_client_B_in_3(name_I)) ),
inference(instantiation,[status(thm)],[139]) ).
fof(ax103,plain,
! [VAR_X_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
cnf(103,plain,
pred_eq_bitstring_bitstring(X0,X1),
inference(cnf,[status(esa)],[ax103]) ).
cnf(l21,plain,
pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(constr_CONST_1,constr_pkey(name_skS)))),
inference(instantiation,[status(thm)],[103]) ).
fof(ax137,plain,
! [VAR_V_161] :
( pred_attacker(VAR_V_161)
=> pred_attacker(tuple_client_B_in_5(VAR_V_161)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
cnf(137,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_in_5(X0)) ),
inference(cnf,[status(esa)],[ax137]) ).
cnf(l6,plain,
( ~ pred_attacker(name_I)
| pred_attacker(tuple_client_B_in_5(name_I)) ),
inference(instantiation,[status(thm)],[137]) ).
fof(ax96,plain,
! [VAR_X_17] : constr_xor(VAR_X_17,constr_ZERO) = VAR_X_17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
cnf(96,plain,
constr_xor(X0,constr_ZERO) = X0,
inference(cnf,[status(esa)],[ax96]) ).
cnf(l27,plain,
constr_xor(name_A,constr_ZERO) = name_A,
inference(instantiation,[status(thm)],[96]) ).
fof(ax169,plain,
pred_attacker(name_I),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).
cnf(169,plain,
pred_attacker(name_I),
inference(cnf,[status(esa)],[ax169]) ).
cnf(l4,plain,
pred_attacker(name_I),
inference(instantiation,[status(thm)],[169]) ).
fof(ax101,plain,
! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
cnf(101,plain,
constr_tuple_2_get_1(tuple_2(X0,X1)) = X1,
inference(cnf,[status(esa)],[ax101]) ).
cnf(l28,plain,
constr_tuple_2_get_1(tuple_2(X0_28,constr_tuple_2_get_1(constr_adec(name_I,name_skB)))) = constr_tuple_2_get_1(constr_adec(name_I,name_skB)),
inference(instantiation,[status(thm)],[101]) ).
cnf(l7,plain,
pred_attacker(name_I),
inference(instantiation,[status(thm)],[169]) ).
cnf(l29,plain,
pred_eq_bitstring_bitstring(constr_xor(name_A,constr_ZERO),constr_tuple_2_get_1(tuple_2(X0_28,constr_tuple_2_get_1(constr_adec(name_I,name_skB))))),
inference(instantiation,[status(thm)],[103]) ).
cnf(l31,plain,
pred_eq_bitstring_bitstring(constr_dec(constr_enc(name_Nb(X3_2),X1_26),X1_26),constr_tuple_2_get_0x30_bitstring(tuple_2(constr_adec(name_I,name_skB),X1_30))),
inference(instantiation,[status(thm)],[103]) ).
fof(ax92,plain,
! [VAR_K_22,VAR_M_21] : constr_dec(constr_enc(VAR_M_21,VAR_K_22),VAR_K_22) = VAR_M_21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
cnf(92,plain,
constr_dec(constr_enc(X0,X1),X1) = X0,
inference(cnf,[status(esa)],[ax92]) ).
cnf(l26,plain,
constr_dec(constr_enc(name_Nb(X3_2),X1_26),X1_26) = name_Nb(X3_2),
inference(instantiation,[status(thm)],[92]) ).
fof(ax100,plain,
! [VAR_X0X30_9,VAR_X1_10X30] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
cnf(100,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(cnf,[status(esa)],[ax100]) ).
cnf(l30,plain,
constr_tuple_2_get_0x30_bitstring(tuple_2(constr_adec(name_I,name_skB),X1_30)) = constr_adec(name_I,name_skB),
inference(instantiation,[status(thm)],[100]) ).
fof(ax141,plain,
! [VAR_V_173] :
( pred_attacker(VAR_V_173)
=> pred_attacker(tuple_client_B_in_2(VAR_V_173)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
cnf(141,plain,
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_in_2(X0)) ),
inference(cnf,[status(esa)],[ax141]) ).
cnf(l22,plain,
( ~ pred_attacker(constr_CONST_1)
| pred_attacker(tuple_client_B_in_2(constr_CONST_1)) ),
inference(instantiation,[status(thm)],[141]) ).
fof(ax161,plain,
pred_attacker(constr_CONST_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
cnf(161,plain,
pred_attacker(constr_CONST_1),
inference(cnf,[status(esa)],[ax161]) ).
cnf(l23,plain,
pred_attacker(constr_CONST_1),
inference(instantiation,[status(thm)],[161]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l21,l6,l27,l4,l28,l7,l29,l31,l26,l30,l22,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW965+1 : TPTP v9.0.0. Released v7.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 15:02:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.20/0.49 % launching worker at depth: 11
% 3.43/0.77 % SZS status Theorem for theBenchmark
% 3.43/0.77 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------