%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW963+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:09:50 PM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW963+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n019.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 10:20:49 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.51 % Refutation found
% 0.16/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.51 fof(f96,axiom,(
% 0.16/0.51 (! [VAR_X_65,VAR_Y_66] : pred_eq_bitstring_bitstring(VAR_X_65,VAR_Y_66) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f108,axiom,(
% 0.16/0.51 (! [VAR_V_95] :( pred_attacker(tuple_out_3(VAR_V_95))=> pred_attacker(VAR_V_95) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f112,axiom,(
% 0.16/0.51 (! [VAR_V_10X307] :( pred_attacker(tuple_out_1(VAR_V_10X307))=> pred_attacker(VAR_V_10X307) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f134,axiom,(
% 0.16/0.51 (! [VAR_V_20X306] :( pred_attacker(tuple_client_B_out_6(VAR_V_20X306))=> pred_attacker(VAR_V_20X306) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f140,axiom,(
% 0.16/0.51 (! [VAR_V_231] :( pred_attacker(VAR_V_231)=> pred_attacker(tuple_client_B_in_5(VAR_V_231)) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f142,axiom,(
% 0.16/0.51 (! [VAR_V_237] :( pred_attacker(VAR_V_237)=> pred_attacker(tuple_client_B_in_3(VAR_V_237)) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f144,axiom,(
% 0.16/0.51 (! [VAR_V_243] :( pred_attacker(VAR_V_243)=> pred_attacker(tuple_client_B_in_2(VAR_V_243)) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f182,axiom,(
% 0.16/0.51 (! [VAR_V_396] : pred_attacker(name_new0x2Dname(VAR_V_396)) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f185,axiom,(
% 0.16/0.51 pred_attacker(tuple_out_1(constr_pkey(name_skA))) ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f187,axiom,(
% 0.16/0.51 pred_attacker(tuple_out_3(constr_pkey(name_skS))) ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f193,axiom,(
% 0.16/0.51 (! [VAR_0X40SID_717,VAR_ECB_ENC_NA_A_719,VAR_ECB_ENC_NB_718,VAR_SIGN_A_PKA_720X30] :( ( 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_in_5(VAR_ECB_ENC_NB_718))& 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_3(VAR_ECB_ENC_NA_A_719))& 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_2(VAR_SIGN_A_PKA_720X30)) )=> pred_attacker(tuple_client_B_out_6(name_objective)) ) )),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f196,conjecture,(
% 0.16/0.51 pred_attacker(name_objective) ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f197,negated_conjecture,(
% 0.16/0.51 ~(pred_attacker(name_objective) )),
% 0.16/0.51 inference(negated_conjecture,[status(cth)],[f196])).
% 0.16/0.51 fof(f293,plain,(
% 0.16/0.51 ![X0,X1]: (pred_eq_bitstring_bitstring(X0,X1))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f96])).
% 0.16/0.51 fof(f315,plain,(
% 0.16/0.51 ![VAR_V_95]: (~pred_attacker(tuple_out_3(VAR_V_95))|pred_attacker(VAR_V_95))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f108])).
% 0.16/0.51 fof(f316,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(tuple_out_3(X0))|pred_attacker(X0))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f315])).
% 0.16/0.51 fof(f323,plain,(
% 0.16/0.51 ![VAR_V_10X307]: (~pred_attacker(tuple_out_1(VAR_V_10X307))|pred_attacker(VAR_V_10X307))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f112])).
% 0.16/0.51 fof(f324,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(tuple_out_1(X0))|pred_attacker(X0))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f323])).
% 0.16/0.51 fof(f370,plain,(
% 0.16/0.51 ![VAR_V_20X306]: (~pred_attacker(tuple_client_B_out_6(VAR_V_20X306))|pred_attacker(VAR_V_20X306))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f134])).
% 0.16/0.51 fof(f371,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(tuple_client_B_out_6(X0))|pred_attacker(X0))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f370])).
% 0.16/0.51 fof(f384,plain,(
% 0.16/0.51 ![VAR_V_231]: (~pred_attacker(VAR_V_231)|pred_attacker(tuple_client_B_in_5(VAR_V_231)))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f140])).
% 0.16/0.51 fof(f385,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(X0)|pred_attacker(tuple_client_B_in_5(X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f384])).
% 0.16/0.51 fof(f388,plain,(
% 0.16/0.51 ![VAR_V_237]: (~pred_attacker(VAR_V_237)|pred_attacker(tuple_client_B_in_3(VAR_V_237)))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f142])).
% 0.16/0.51 fof(f389,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(X0)|pred_attacker(tuple_client_B_in_3(X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f388])).
% 0.16/0.51 fof(f392,plain,(
% 0.16/0.51 ![VAR_V_243]: (~pred_attacker(VAR_V_243)|pred_attacker(tuple_client_B_in_2(VAR_V_243)))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f144])).
% 0.16/0.51 fof(f393,plain,(
% 0.16/0.51 ![X0]: (~pred_attacker(X0)|pred_attacker(tuple_client_B_in_2(X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f392])).
% 0.16/0.51 fof(f470,plain,(
% 0.16/0.51 ![X0]: (pred_attacker(name_new0x2Dname(X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f182])).
% 0.16/0.51 fof(f473,plain,(
% 0.16/0.51 pred_attacker(tuple_out_1(constr_pkey(name_skA)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.51 fof(f475,plain,(
% 0.16/0.51 pred_attacker(tuple_out_3(constr_pkey(name_skS)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f187])).
% 0.16/0.51 fof(f487,plain,(
% 0.16/0.51 ![VAR_0X40SID_717,VAR_ECB_ENC_NA_A_719,VAR_ECB_ENC_NB_718,VAR_SIGN_A_PKA_720X30]: ((((((~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_in_5(VAR_ECB_ENC_NB_718)))|~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_3(VAR_ECB_ENC_NA_A_719)))|~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_2(VAR_SIGN_A_PKA_720X30)))|pred_attacker(tuple_client_B_out_6(name_objective)))),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f193])).
% 0.16/0.51 fof(f488,plain,(
% 0.16/0.51 (![VAR_SIGN_A_PKA_720X30]: (((![VAR_ECB_ENC_NA_A_719]: (((![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)))|~pred_attacker(tuple_client_B_in_5(VAR_ECB_ENC_NB_718))))|~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_3(VAR_ECB_ENC_NA_A_719))))|~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_2(VAR_SIGN_A_PKA_720X30))))|pred_attacker(tuple_client_B_out_6(name_objective))),
% 0.16/0.51 inference(miniscoping,[status(thm)],[f487])).
% 0.16/0.51 fof(f489,plain,(
% 0.16/0.51 ![X0,X1,X2,X3]: (~pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB))|~pred_attacker(tuple_client_B_in_5(X1))|~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X2,name_skB)))|~pred_attacker(tuple_client_B_in_3(X2))|~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))|~pred_attacker(tuple_client_B_in_2(X3))|pred_attacker(tuple_client_B_out_6(name_objective)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f488])).
% 0.16/0.51 fof(f495,plain,(
% 0.16/0.51 ~pred_attacker(name_objective)),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f197])).
% 0.16/0.51 fof(f496,definition,(
% 0.16/0.51 ![X0,X1]: (sQ0_spl <=> (~pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB))|~pred_attacker(tuple_client_B_in_5(X1))))),
% 0.16/0.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.51 fof(f497,plain,(
% 0.16/0.51 ![X0,X1]: (~pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X1,name_skB))|~pred_attacker(tuple_client_B_in_5(X1))|~sQ0_spl)),
% 0.16/0.51 inference(component_clause,[status(thm)],[f496])).
% 0.16/0.51 fof(f499,definition,(
% 0.16/0.51 ![X2]: (sQ1_spl <=> (~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X2,name_skB)))|~pred_attacker(tuple_client_B_in_3(X2))))),
% 0.16/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.51 fof(f500,plain,(
% 0.16/0.51 ![X0]: (~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X0,name_skB)))|~pred_attacker(tuple_client_B_in_3(X0))|~sQ1_spl)),
% 0.16/0.51 inference(component_clause,[status(thm)],[f499])).
% 0.16/0.51 fof(f502,definition,(
% 0.16/0.51 ![X3]: (sQ2_spl <=> (~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))|~pred_attacker(tuple_client_B_in_2(X3))))),
% 0.16/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.52 fof(f503,plain,(
% 0.16/0.52 ![X0]: (~pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS))))|~pred_attacker(tuple_client_B_in_2(X0))|~sQ2_spl)),
% 0.16/0.52 inference(component_clause,[status(thm)],[f502])).
% 0.16/0.52 fof(f505,definition,(
% 0.16/0.52 sQ3_spl <=> (pred_attacker(tuple_client_B_out_6(name_objective)))),
% 0.16/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.52 fof(f506,plain,(
% 0.16/0.52 pred_attacker(tuple_client_B_out_6(name_objective))|~sQ3_spl),
% 0.16/0.52 inference(component_clause,[status(thm)],[f505])).
% 0.16/0.52 fof(f508,plain,(
% 0.16/0.52 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.16/0.52 inference(split_clause,[status(thm)],[f489,f496,f499,f502,f505])).
% 0.16/0.52 fof(f550,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(tuple_client_B_in_2(X0))|~sQ2_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f503,f293])).
% 0.16/0.52 fof(f558,plain,(
% 0.16/0.52 $false|~sQ2_spl),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f470,f570])).
% 0.16/0.52 fof(f570,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(X0)|~sQ2_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f393,f550])).
% 0.16/0.52 fof(f571,plain,(
% 0.16/0.52 ~sQ2_spl),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f558])).
% 0.16/0.52 fof(f572,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(tuple_client_B_in_3(X0))|~sQ1_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f500,f293])).
% 0.16/0.52 fof(f605,plain,(
% 0.16/0.52 pred_attacker(constr_pkey(name_skA))),
% 0.16/0.52 inference(resolution,[status(thm)],[f324,f473])).
% 0.16/0.52 fof(f609,plain,(
% 0.16/0.52 pred_attacker(constr_pkey(name_skS))),
% 0.16/0.52 inference(resolution,[status(thm)],[f316,f475])).
% 0.16/0.52 fof(f617,plain,(
% 0.16/0.52 $false|~sQ1_spl),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f609,f637])).
% 0.16/0.52 fof(f637,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(X0)|~sQ1_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f389,f572])).
% 0.16/0.52 fof(f638,plain,(
% 0.16/0.52 ~sQ1_spl),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f617])).
% 0.16/0.52 fof(f639,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(tuple_client_B_in_5(X0))|~sQ0_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f497,f293])).
% 0.16/0.52 fof(f652,plain,(
% 0.16/0.52 $false|~sQ0_spl),
% 0.16/0.52 inference(backward_subsumption_resolution,[status(thm)],[f605,f667])).
% 0.16/0.52 fof(f667,plain,(
% 0.16/0.52 ![X0]: (~pred_attacker(X0)|~sQ0_spl)),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f385,f639])).
% 0.16/0.52 fof(f668,plain,(
% 0.16/0.52 ~sQ0_spl),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f652])).
% 0.16/0.52 fof(f682,plain,(
% 0.16/0.52 pred_attacker(name_objective)|~sQ3_spl),
% 0.16/0.52 inference(resolution,[status(thm)],[f371,f506])).
% 0.16/0.52 fof(f683,plain,(
% 0.16/0.52 $false|~sQ3_spl),
% 0.16/0.52 inference(forward_subsumption_resolution,[status(thm)],[f682,f495])).
% 0.16/0.52 fof(f684,plain,(
% 0.16/0.52 ~sQ3_spl),
% 0.16/0.52 inference(contradiction_clause,[status(thm)],[f683])).
% 0.16/0.52 fof(f685,plain,(
% 0.16/0.52 $false),
% 0.16/0.52 inference(sat_refutation,[status(thm)],[f508,f571,f638,f668,f684])).
% 0.16/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.53 % Elapsed time: 0.105584 seconds
% 0.16/0.53 % CPU time: 0.512828 seconds
% 0.16/0.53 % Total memory used: 100.069 MB
% 0.16/0.53 % Net memory used: 99.614 MB
%------------------------------------------------------------------------------