%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:08:36 PM UTC 2026
% Result : Theorem 0.14s 5.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 12 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [VAR_X_67,VAR_Y_68] : pred_eq_bitstring_bitstring(VAR_X_67,VAR_Y_68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [VAR_V_112] :
( pred_attacker(tuple_client_B_out_2(VAR_V_112))
=> pred_attacker(VAR_V_112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [VAR_V_115] :
( pred_attacker(VAR_V_115)
=> pred_attacker(tuple_client_B_in_1(VAR_V_115)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,axiom,
! [VAR_V_280X30] : pred_attacker(name_new0x2Dname(VAR_V_280X30)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,axiom,
! [VAR_ENC_A_KAB_T_330X30] :
( ( pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) )
=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f139]) ).
fof(f220,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f247,plain,
! [VAR_V_112] :
( pred_attacker(VAR_V_112)
| ~ pred_attacker(tuple_client_B_out_2(VAR_V_112)) ),
inference(pre_NNF_transformation,[status(thm)],[f94]) ).
fof(f248,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_2(X0)) ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
! [VAR_V_115] :
( pred_attacker(tuple_client_B_in_1(VAR_V_115))
| ~ pred_attacker(VAR_V_115) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f250,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f329,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f330,plain,
! [VAR_ENC_A_KAB_T_330X30] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ),
inference(pre_NNF_transformation,[status(thm)],[f136]) ).
fof(f331,plain,
( pred_attacker(tuple_client_B_out_2(name_objective))
| ! [VAR_ENC_A_KAB_T_330X30] :
( ~ pred_attacker(tuple_client_B_in_1(VAR_ENC_A_KAB_T_330X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(VAR_ENC_A_KAB_T_330X30,name_Kbs))) ) ),
inference(miniscoping,[status(thm)],[f330]) ).
fof(f332,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f339,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f340,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_2(name_objective))
| ~ pred_attacker(tuple_client_B_in_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f220]) ).
fof(f353,plain,
! [X0] :
( pred_attacker(name_objective)
| ~ pred_attacker(tuple_client_B_in_1(X0)) ),
inference(resolution,[status(thm)],[f340,f248]) ).
fof(f354,plain,
! [X0] : ~ pred_attacker(X0),
inference(backward_subsumption_resolution,[status(thm)],[f250,f355]) ).
fof(f355,plain,
! [X0] : ~ pred_attacker(tuple_client_B_in_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f353,f339]) ).
fof(f357,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f329,f354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n002.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 10:23:37 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.44 % Elapsed time: 0.065481 seconds
% 0.14/5.44 % CPU time: 0.186618 seconds
% 0.14/5.44 % Total memory used: 71.629 MB
% 0.14/5.44 % Net memory used: 71.524 MB
%------------------------------------------------------------------------------