%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW955+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:08:34 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 77 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 30 ~; 26 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [VAR_K_8,VAR_M_7] : constr_dec(constr_enc(VAR_M_7,VAR_K_8),VAR_K_8) = VAR_M_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_comm_dec(constr_comm_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [VAR_V_33,VAR_V_34] :
( ( pred_attacker(VAR_V_34)
& pred_attacker(VAR_V_33) )
=> pred_attacker(constr_dec(VAR_V_33,VAR_V_34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [VAR_V_65] :
( pred_attacker(tuple_A_out_4(VAR_V_65))
=> pred_attacker(VAR_V_65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [VAR_V_71] :
( pred_attacker(tuple_A_out_3(VAR_V_71))
=> pred_attacker(VAR_V_71) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [VAR_V_77] :
( pred_attacker(tuple_A_out_1(VAR_V_77))
=> pred_attacker(VAR_V_77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [VAR_V_80X30] :
( pred_attacker(VAR_V_80X30)
=> pred_attacker(tuple_A_in_2(VAR_V_80X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f82]) ).
fof(f129,plain,
! [X0,X1] : constr_dec(constr_enc(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f130,plain,
! [X0,X1] : constr_comm_dec(constr_comm_enc(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f135,plain,
! [VAR_V_33,VAR_V_34] :
( pred_attacker(constr_dec(VAR_V_33,VAR_V_34))
| ~ pred_attacker(VAR_V_34)
| ~ pred_attacker(VAR_V_33) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f136,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f160,plain,
! [VAR_V_65] :
( pred_attacker(VAR_V_65)
| ~ pred_attacker(tuple_A_out_4(VAR_V_65)) ),
inference(pre_NNF_transformation,[status(thm)],[f66]) ).
fof(f161,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_4(X0)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f164,plain,
! [VAR_V_71] :
( pred_attacker(VAR_V_71)
| ~ pred_attacker(tuple_A_out_3(VAR_V_71)) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f165,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_3(X0)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f168,plain,
! [VAR_V_77] :
( pred_attacker(VAR_V_77)
| ~ pred_attacker(tuple_A_out_1(VAR_V_77)) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f169,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_1(X0)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
! [VAR_V_80X30] :
( pred_attacker(tuple_A_in_2(VAR_V_80X30))
| ~ pred_attacker(VAR_V_80X30) ),
inference(pre_NNF_transformation,[status(thm)],[f71]) ).
fof(f171,plain,
! [X0] :
( pred_attacker(tuple_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f182,plain,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f183,plain,
! [VAR_MSG1_128] :
( pred_attacker(tuple_A_out_3(constr_comm_dec(VAR_MSG1_128,name_Ka)))
| ~ pred_attacker(tuple_A_in_2(VAR_MSG1_128)) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f184,plain,
! [X0] :
( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
! [VAR_MSG1_142] :
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ~ pred_attacker(tuple_A_in_2(VAR_MSG1_142)) ),
inference(pre_NNF_transformation,[status(thm)],[f80]) ).
fof(f186,plain,
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ! [VAR_MSG1_142] : ~ pred_attacker(tuple_A_in_2(VAR_MSG1_142)) ),
inference(miniscoping,[status(thm)],[f185]) ).
fof(f187,plain,
! [X0] :
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f190,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f192,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_enc(X0,X1)) ),
inference(paramodulation,[status(thm)],[f129,f136]) ).
fof(f200,plain,
pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
inference(resolution,[status(thm)],[f182,f169]) ).
fof(f203,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka))) ),
inference(resolution,[status(thm)],[f184,f171]) ).
fof(f204,plain,
! [X0] :
( pred_attacker(constr_enc(name_objective,name_m_9))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(resolution,[status(thm)],[f187,f161]) ).
fof(f208,plain,
! [X0] :
( pred_attacker(constr_comm_dec(X0,name_Ka))
| ~ pred_attacker(X0) ),
inference(resolution,[status(thm)],[f203,f165]) ).
fof(f210,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(constr_comm_enc(X0,name_Ka)) ),
inference(paramodulation,[status(thm)],[f130,f208]) ).
fof(f211,plain,
pred_attacker(name_m_9),
inference(resolution,[status(thm)],[f210,f200]) ).
fof(f213,plain,
! [X0] :
( pred_attacker(name_objective)
| ~ pred_attacker(name_m_9)
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(resolution,[status(thm)],[f204,f192]) ).
fof(f214,plain,
! [X0] :
( pred_attacker(name_objective)
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f211]) ).
fof(f215,plain,
! [X0] : ~ pred_attacker(tuple_A_in_2(X0)),
inference(resolution,[status(thm)],[f214,f190]) ).
fof(f216,plain,
! [X0] : ~ pred_attacker(X0),
inference(backward_subsumption_resolution,[status(thm)],[f171,f215]) ).
fof(f218,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f211,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW955+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:23:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.061706 seconds
% 0.14/0.44 % CPU time: 0.194643 seconds
% 0.14/0.44 % Total memory used: 64.505 MB
% 0.14/0.44 % Net memory used: 64.438 MB
%------------------------------------------------------------------------------