TSTP Solution File: SWW955+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 : Tue Apr 30 20:50:56 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 23:06:58 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f46,axiom,(
% 0.13/0.37    (! [VAR_K_8,VAR_M_7] : constr_dec(constr_enc(VAR_M_7,VAR_K_8),VAR_K_8) = VAR_M_7 )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f47,axiom,(
% 0.13/0.37    (! [VAR_K_0X30,VAR_M_0X30] : constr_comm_dec(constr_comm_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f51,axiom,(
% 0.13/0.37    (! [VAR_V_33,VAR_V_34] :( ( pred_attacker(VAR_V_33)& pred_attacker(VAR_V_34) )=> pred_attacker(constr_dec(VAR_V_33,VAR_V_34)) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f66,axiom,(
% 0.13/0.37    (! [VAR_V_65] :( pred_attacker(tuple_A_out_4(VAR_V_65))=> pred_attacker(VAR_V_65) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f68,axiom,(
% 0.13/0.37    (! [VAR_V_71] :( pred_attacker(tuple_A_out_3(VAR_V_71))=> pred_attacker(VAR_V_71) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f70,axiom,(
% 0.13/0.37    (! [VAR_V_77] :( pred_attacker(tuple_A_out_1(VAR_V_77))=> pred_attacker(VAR_V_77) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f71,axiom,(
% 0.13/0.37    (! [VAR_V_80X30] :( pred_attacker(VAR_V_80X30)=> pred_attacker(tuple_A_in_2(VAR_V_80X30)) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f77,axiom,(
% 0.13/0.37    (! [VAR_V_95] : pred_attacker(name_new0x2Dname(VAR_V_95)) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f78,axiom,(
% 0.13/0.37    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f79,axiom,(
% 0.13/0.37    (! [VAR_MSG1_128] :( pred_attacker(tuple_A_in_2(VAR_MSG1_128))=> pred_attacker(tuple_A_out_3(constr_comm_dec(VAR_MSG1_128,name_Ka))) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f80,axiom,(
% 0.13/0.37    (! [VAR_MSG1_142] :( pred_attacker(tuple_A_in_2(VAR_MSG1_142))=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ) )),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f82,conjecture,(
% 0.13/0.37    pred_attacker(name_objective) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f83,negated_conjecture,(
% 0.13/0.37    ~(pred_attacker(name_objective) )),
% 0.13/0.37    inference(negated_conjecture,[status(cth)],[f82])).
% 0.13/0.37  fof(f129,plain,(
% 0.13/0.37    ![X0,X1]: (constr_dec(constr_enc(X0,X1),X1)=X0)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37  fof(f130,plain,(
% 0.13/0.37    ![X0,X1]: (constr_comm_dec(constr_comm_enc(X0,X1),X1)=X0)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37  fof(f135,plain,(
% 0.13/0.37    ![VAR_V_33,VAR_V_34]: ((~pred_attacker(VAR_V_33)|~pred_attacker(VAR_V_34))|pred_attacker(constr_dec(VAR_V_33,VAR_V_34)))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f136,plain,(
% 0.13/0.37    ![X0,X1]: (~pred_attacker(X0)|~pred_attacker(X1)|pred_attacker(constr_dec(X0,X1)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f135])).
% 0.13/0.37  fof(f160,plain,(
% 0.13/0.37    ![VAR_V_65]: (~pred_attacker(tuple_A_out_4(VAR_V_65))|pred_attacker(VAR_V_65))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f66])).
% 0.13/0.37  fof(f161,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_out_4(X0))|pred_attacker(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.37  fof(f164,plain,(
% 0.13/0.37    ![VAR_V_71]: (~pred_attacker(tuple_A_out_3(VAR_V_71))|pred_attacker(VAR_V_71))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.13/0.37  fof(f165,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_out_3(X0))|pred_attacker(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f164])).
% 0.13/0.37  fof(f168,plain,(
% 0.13/0.37    ![VAR_V_77]: (~pred_attacker(tuple_A_out_1(VAR_V_77))|pred_attacker(VAR_V_77))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f70])).
% 0.13/0.37  fof(f169,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_out_1(X0))|pred_attacker(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f168])).
% 0.13/0.37  fof(f170,plain,(
% 0.13/0.37    ![VAR_V_80X30]: (~pred_attacker(VAR_V_80X30)|pred_attacker(tuple_A_in_2(VAR_V_80X30)))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f71])).
% 0.13/0.37  fof(f171,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(X0)|pred_attacker(tuple_A_in_2(X0)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f170])).
% 0.13/0.37  fof(f181,plain,(
% 0.13/0.37    ![X0]: (pred_attacker(name_new0x2Dname(X0)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f77])).
% 0.13/0.37  fof(f182,plain,(
% 0.13/0.37    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f78])).
% 0.13/0.37  fof(f183,plain,(
% 0.13/0.37    ![VAR_MSG1_128]: (~pred_attacker(tuple_A_in_2(VAR_MSG1_128))|pred_attacker(tuple_A_out_3(constr_comm_dec(VAR_MSG1_128,name_Ka))))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.13/0.37  fof(f184,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_in_2(X0))|pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka))))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f183])).
% 0.13/0.37  fof(f185,plain,(
% 0.13/0.37    ![VAR_MSG1_142]: (~pred_attacker(tuple_A_in_2(VAR_MSG1_142))|pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.13/0.37  fof(f186,plain,(
% 0.13/0.37    (![VAR_MSG1_142]: ~pred_attacker(tuple_A_in_2(VAR_MSG1_142)))|pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f185])).
% 0.13/0.37  fof(f187,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_in_2(X0))|pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.37  fof(f190,plain,(
% 0.13/0.37    ~pred_attacker(name_objective)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f83])).
% 0.13/0.37  fof(f191,plain,(
% 0.13/0.37    spl0_0 <=> ~pred_attacker(tuple_A_in_2(X0))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f192,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(tuple_A_in_2(X0))|~spl0_0)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f191])).
% 0.13/0.37  fof(f194,plain,(
% 0.13/0.37    spl0_1 <=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f195,plain,(
% 0.13/0.37    pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))|~spl0_1),
% 0.13/0.37    inference(component_clause,[status(thm)],[f194])).
% 0.13/0.37  fof(f197,plain,(
% 0.13/0.37    spl0_0|spl0_1),
% 0.13/0.37    inference(split_clause,[status(thm)],[f187,f191,f194])).
% 0.13/0.37  fof(f198,plain,(
% 0.13/0.37    ![X0,X1]: (~pred_attacker(constr_enc(X0,X1))|~pred_attacker(X1)|pred_attacker(X0))),
% 0.13/0.37    inference(paramodulation,[status(thm)],[f129,f136])).
% 0.13/0.37  fof(f199,plain,(
% 0.13/0.37    ![X0]: (~pred_attacker(X0)|~spl0_0)),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f171,f192])).
% 0.13/0.37  fof(f200,plain,(
% 0.13/0.37    $false|~spl0_0),
% 0.13/0.37    inference(backward_subsumption_resolution,[status(thm)],[f181,f199])).
% 0.13/0.37  fof(f201,plain,(
% 0.13/0.37    ~spl0_0),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f200])).
% 0.13/0.37  fof(f212,plain,(
% 0.13/0.37    pred_attacker(constr_comm_enc(name_m_9,name_Ka))),
% 0.13/0.37    inference(resolution,[status(thm)],[f182,f169])).
% 0.13/0.37  fof(f213,plain,(
% 0.13/0.37    ![X0]: (pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))|~pred_attacker(X0))),
% 0.13/0.37    inference(resolution,[status(thm)],[f184,f171])).
% 0.13/0.37  fof(f218,plain,(
% 0.13/0.37    pred_attacker(constr_enc(name_objective,name_m_9))|~spl0_1),
% 0.13/0.37    inference(resolution,[status(thm)],[f161,f195])).
% 0.13/0.37  fof(f228,plain,(
% 0.13/0.37    spl0_5 <=> pred_attacker(name_m_9)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f230,plain,(
% 0.13/0.37    ~pred_attacker(name_m_9)|spl0_5),
% 0.13/0.37    inference(component_clause,[status(thm)],[f228])).
% 0.13/0.38  fof(f235,plain,(
% 0.13/0.38    ![X0]: (~pred_attacker(X0)|pred_attacker(constr_comm_dec(X0,name_Ka)))),
% 0.13/0.38    inference(resolution,[status(thm)],[f213,f165])).
% 0.13/0.38  fof(f237,plain,(
% 0.13/0.38    ![X0]: (~pred_attacker(constr_comm_enc(X0,name_Ka))|pred_attacker(X0))),
% 0.13/0.38    inference(paramodulation,[status(thm)],[f130,f235])).
% 0.13/0.38  fof(f238,plain,(
% 0.13/0.38    pred_attacker(name_m_9)),
% 0.13/0.38    inference(resolution,[status(thm)],[f237,f212])).
% 0.13/0.38  fof(f247,plain,(
% 0.13/0.38    spl0_7 <=> pred_attacker(name_objective)),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f248,plain,(
% 0.13/0.38    pred_attacker(name_objective)|~spl0_7),
% 0.13/0.38    inference(component_clause,[status(thm)],[f247])).
% 0.13/0.38  fof(f250,plain,(
% 0.13/0.38    ~pred_attacker(name_m_9)|pred_attacker(name_objective)|~spl0_1),
% 0.13/0.38    inference(resolution,[status(thm)],[f198,f218])).
% 0.13/0.38  fof(f251,plain,(
% 0.13/0.38    ~spl0_5|spl0_7|~spl0_1),
% 0.13/0.38    inference(split_clause,[status(thm)],[f250,f228,f247,f194])).
% 0.13/0.38  fof(f254,plain,(
% 0.13/0.38    $false|~spl0_7),
% 0.13/0.38    inference(forward_subsumption_resolution,[status(thm)],[f248,f190])).
% 0.13/0.38  fof(f255,plain,(
% 0.13/0.38    ~spl0_7),
% 0.13/0.38    inference(contradiction_clause,[status(thm)],[f254])).
% 0.13/0.38  fof(f256,plain,(
% 0.13/0.38    $false|spl0_5),
% 0.13/0.38    inference(forward_subsumption_resolution,[status(thm)],[f230,f238])).
% 0.13/0.38  fof(f257,plain,(
% 0.13/0.38    spl0_5),
% 0.13/0.38    inference(contradiction_clause,[status(thm)],[f256])).
% 0.13/0.38  fof(f258,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(sat_refutation,[status(thm)],[f197,f201,f251,f255,f257])).
% 0.13/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40  % Elapsed time: 0.025108 seconds
% 0.13/0.40  % CPU time: 0.043936 seconds
% 0.13/0.40  % Total memory used: 10.128 MB
% 0.13/0.40  % Net memory used: 10.091 MB
%------------------------------------------------------------------------------