%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW959+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 : n006.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 03:08:35 PM UTC 2026
% Result : Theorem 0.14s 15.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 14 unt; 4 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 129 ( 65 ~; 50 |; 5 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87,axiom,
! [VAR_X_35,VAR_Y_36] : pred_eq_bitstring_bitstring(VAR_X_35,VAR_Y_36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,axiom,
! [VAR_V_126] :
( pred_attacker(tuple_client_B_out_6(VAR_V_126))
=> pred_attacker(VAR_V_126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [VAR_V_151] :
( pred_attacker(VAR_V_151)
=> pred_attacker(tuple_client_B_in_5(VAR_V_151)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [VAR_V_157] :
( pred_attacker(VAR_V_157)
=> pred_attacker(tuple_client_B_in_3(VAR_V_157)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,axiom,
! [VAR_V_163] :
( pred_attacker(VAR_V_163)
=> pred_attacker(tuple_client_B_in_2(VAR_V_163)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f155,axiom,
! [VAR_V_246] : pred_attacker(name_new0x2Dname(VAR_V_246)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,axiom,
! [VAR_0X40SID_545,VAR_AENC_NA_A_547,VAR_AENC_NB_546,VAR_SIGN_A_PKA_548] :
( ( pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547,name_skB)))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))
& pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545),constr_adec(VAR_AENC_NB_546,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f169,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f169]) ).
fof(f257,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f312,plain,
! [VAR_V_126] :
( pred_attacker(VAR_V_126)
| ~ pred_attacker(tuple_client_B_out_6(VAR_V_126)) ),
inference(pre_NNF_transformation,[status(thm)],[f114]) ).
fof(f313,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f326,plain,
! [VAR_V_151] :
( pred_attacker(tuple_client_B_in_5(VAR_V_151))
| ~ pred_attacker(VAR_V_151) ),
inference(pre_NNF_transformation,[status(thm)],[f120]) ).
fof(f327,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f330,plain,
! [VAR_V_157] :
( pred_attacker(tuple_client_B_in_3(VAR_V_157))
| ~ pred_attacker(VAR_V_157) ),
inference(pre_NNF_transformation,[status(thm)],[f122]) ).
fof(f331,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f334,plain,
! [VAR_V_163] :
( pred_attacker(tuple_client_B_in_2(VAR_V_163))
| ~ pred_attacker(VAR_V_163) ),
inference(pre_NNF_transformation,[status(thm)],[f124]) ).
fof(f335,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f391,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f397,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f408,plain,
! [VAR_0X40SID_545,VAR_AENC_NA_A_547,VAR_AENC_NB_546,VAR_SIGN_A_PKA_548] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))
| ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545),constr_adec(VAR_AENC_NB_546,name_skB)) ),
inference(pre_NNF_transformation,[status(thm)],[f166]) ).
fof(f409,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ! [VAR_SIGN_A_PKA_548] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548,constr_pkey(name_skS))))
| ! [VAR_AENC_NA_A_547] :
( ~ pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547,name_skB)))
| ! [VAR_AENC_NB_546] :
( ~ pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))
| ! [VAR_0X40SID_545] : ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545),constr_adec(VAR_AENC_NB_546,name_skB)) ) ) ) ),
inference(miniscoping,[status(thm)],[f408]) ).
fof(f410,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X1,name_skB)) ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f416,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f417,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X1,name_skB)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X1,name_skB)) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
! [X2] :
( sQ1_spl
<=> ( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB))) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f421,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB))) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
! [X3] :
( sQ2_spl
<=> ( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f424,plain,
! [X0] :
( ~ sQ2_spl
| ~ pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS)))) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ3_spl
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ3_spl
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f410,f417,f420,f423,f426]) ).
fof(f439,plain,
( ~ sQ3_spl
| pred_attacker(name_objective) ),
inference(resolution,[status(thm)],[f313,f427]) ).
fof(f441,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f416]) ).
fof(f442,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f441]) ).
fof(f443,plain,
! [X0] :
( ~ sQ2_spl
| ~ pred_attacker(tuple_client_B_in_2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f257]) ).
fof(f470,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f391,f482]) ).
fof(f482,plain,
! [X0] :
( ~ sQ2_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f443]) ).
fof(f483,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f470]) ).
fof(f484,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_client_B_in_5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f257]) ).
fof(f493,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f397,f510]) ).
fof(f510,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f484]) ).
fof(f511,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f512,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_client_B_in_3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f257]) ).
fof(f531,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f391,f543]) ).
fof(f543,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f512]) ).
fof(f544,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f545,plain,
$false,
inference(sat_refutation,[status(thm)],[f429,f442,f483,f511,f544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW959+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.38 % Computer : n006.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Mon Sep 21 10:21:00 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.14/15.40 % Drodi V4.1.1
% 0.14/15.43 % Refutation found
% 0.14/15.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/15.47 % Elapsed time: 0.079539 seconds
% 0.14/15.47 % CPU time: 0.230010 seconds
% 0.14/15.47 % Total memory used: 108.307 MB
% 0.14/15.47 % Net memory used: 108.117 MB
%------------------------------------------------------------------------------