%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW963+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 : n014.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% 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 : 18 ( 18 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,axiom,
! [VAR_X_65,VAR_Y_66] : pred_eq_bitstring_bitstring(VAR_X_65,VAR_Y_66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,axiom,
! [VAR_V_20X306] :
( pred_attacker(tuple_client_B_out_6(VAR_V_20X306))
=> pred_attacker(VAR_V_20X306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,axiom,
! [VAR_V_231] :
( pred_attacker(VAR_V_231)
=> pred_attacker(tuple_client_B_in_5(VAR_V_231)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,axiom,
! [VAR_V_237] :
( pred_attacker(VAR_V_237)
=> pred_attacker(tuple_client_B_in_3(VAR_V_237)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [VAR_V_243] :
( pred_attacker(VAR_V_243)
=> pred_attacker(tuple_client_B_in_2(VAR_V_243)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f182,axiom,
! [VAR_V_396] : pred_attacker(name_new0x2Dname(VAR_V_396)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,axiom,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,axiom,
! [VAR_0X40SID_717,VAR_ECB_ENC_NA_A_719,VAR_ECB_ENC_NB_718,VAR_SIGN_A_PKA_720X30] :
( ( pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_720X30,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(VAR_ECB_ENC_NA_A_719,name_skB)))
& pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718))
& pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_717),constr_ecb_dec_1(VAR_ECB_ENC_NB_718,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f196]) ).
fof(f293,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
! [VAR_V_20X306] :
( pred_attacker(VAR_V_20X306)
| ~ pred_attacker(tuple_client_B_out_6(VAR_V_20X306)) ),
inference(pre_NNF_transformation,[status(thm)],[f134]) ).
fof(f371,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f384,plain,
! [VAR_V_231] :
( pred_attacker(tuple_client_B_in_5(VAR_V_231))
| ~ pred_attacker(VAR_V_231) ),
inference(pre_NNF_transformation,[status(thm)],[f140]) ).
fof(f385,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f388,plain,
! [VAR_V_237] :
( pred_attacker(tuple_client_B_in_3(VAR_V_237))
| ~ pred_attacker(VAR_V_237) ),
inference(pre_NNF_transformation,[status(thm)],[f142]) ).
fof(f389,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f392,plain,
! [VAR_V_243] :
( pred_attacker(tuple_client_B_in_2(VAR_V_243))
| ~ pred_attacker(VAR_V_243) ),
inference(pre_NNF_transformation,[status(thm)],[f144]) ).
fof(f393,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f470,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f483,plain,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f487,plain,
! [VAR_0X40SID_717,VAR_ECB_ENC_NA_A_719,VAR_ECB_ENC_NB_718,VAR_SIGN_A_PKA_720X30] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_720X30,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(VAR_ECB_ENC_NA_A_719,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718))
| ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_717),constr_ecb_dec_1(VAR_ECB_ENC_NB_718,name_skB)) ),
inference(pre_NNF_transformation,[status(thm)],[f193]) ).
fof(f488,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ! [VAR_SIGN_A_PKA_720X30] :
( ~ pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_720X30))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_720X30,constr_pkey(name_skS))))
| ! [VAR_ECB_ENC_NA_A_719] :
( ~ pred_attacker(tuple_client_B_in_3(VAR_ECB_ENC_NA_A_719))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(VAR_ECB_ENC_NA_A_719,name_skB)))
| ! [VAR_ECB_ENC_NB_718] :
( ~ pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718))
| ! [VAR_0X40SID_717] : ~ pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_717),constr_ecb_dec_1(VAR_ECB_ENC_NB_718,name_skB)) ) ) ) ),
inference(miniscoping,[status(thm)],[f487]) ).
fof(f489,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_ecb_dec_2(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB)) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f496,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB)) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
! [X2] :
( sQ1_spl
<=> ( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X2,name_skB))) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f500,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X0,name_skB))) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,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(f503,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)],[f502]) ).
fof(f505,definition,
( sQ3_spl
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ3_spl
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f489,f496,f499,f502,f505]) ).
fof(f521,plain,
( ~ sQ3_spl
| pred_attacker(name_objective) ),
inference(resolution,[status(thm)],[f371,f506]) ).
fof(f523,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f495]) ).
fof(f524,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
! [X0] :
( ~ sQ2_spl
| ~ pred_attacker(tuple_client_B_in_2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f293]) ).
fof(f530,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f470,f542]) ).
fof(f542,plain,
! [X0] :
( ~ sQ2_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f525]) ).
fof(f543,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f544,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_client_B_in_5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f293]) ).
fof(f566,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f483,f583]) ).
fof(f583,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f544]) ).
fof(f584,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f585,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_client_B_in_3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f293]) ).
fof(f607,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f470,f619]) ).
fof(f619,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f585]) ).
fof(f620,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f621,plain,
$false,
inference(sat_refutation,[status(thm)],[f508,f524,f543,f584,f620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW963+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:20:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.070253 seconds
% 0.13/0.42 % CPU time: 0.199679 seconds
% 0.13/0.42 % Total memory used: 110.180 MB
% 0.13/0.42 % Net memory used: 109.950 MB
%------------------------------------------------------------------------------