%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW956+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 : n010.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 66 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 22 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [VAR_V_42,VAR_V_43] :
( ( pred_attacker(VAR_V_43)
& pred_attacker(VAR_V_42) )
=> pred_attacker(constr_dec(VAR_V_42,VAR_V_43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [VAR_V_76] :
( pred_attacker(tuple_A_out_4(VAR_V_76))
=> pred_attacker(VAR_V_76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [VAR_V_82] :
( pred_attacker(tuple_A_out_2(VAR_V_82))
=> pred_attacker(VAR_V_82) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [VAR_V_97,VAR_V_98] :
( pred_attacker(tuple_A_out_1(VAR_V_97,VAR_V_98))
=> pred_attacker(VAR_V_98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [VAR_V_10X301] :
( pred_attacker(VAR_V_10X301)
=> pred_attacker(tuple_A_in_3(VAR_V_10X301)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,axiom,
pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [VAR_B_186] :
( pred_attacker(tuple_A_in_3(VAR_B_186))
=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(VAR_B_186,name_Na),name_P_7)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f151,plain,
! [X0,X1] : constr_dec(constr_enc(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f161,plain,
! [VAR_V_42,VAR_V_43] :
( pred_attacker(constr_dec(VAR_V_42,VAR_V_43))
| ~ pred_attacker(VAR_V_43)
| ~ pred_attacker(VAR_V_42) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f162,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f186,plain,
! [VAR_V_76] :
( pred_attacker(VAR_V_76)
| ~ pred_attacker(tuple_A_out_4(VAR_V_76)) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f187,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_4(X0)) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f190,plain,
! [VAR_V_82] :
( pred_attacker(VAR_V_82)
| ~ pred_attacker(tuple_A_out_2(VAR_V_82)) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f191,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_2(X0)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f197,plain,
! [VAR_V_97,VAR_V_98] :
( pred_attacker(VAR_V_98)
| ~ pred_attacker(tuple_A_out_1(VAR_V_97,VAR_V_98)) ),
inference(pre_NNF_transformation,[status(thm)],[f82]) ).
fof(f198,plain,
! [VAR_V_98] :
( pred_attacker(VAR_V_98)
| ! [VAR_V_97] : ~ pred_attacker(tuple_A_out_1(VAR_V_97,VAR_V_98)) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_A_out_1(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
! [VAR_V_10X301] :
( pred_attacker(tuple_A_in_3(VAR_V_10X301))
| ~ pred_attacker(VAR_V_10X301) ),
inference(pre_NNF_transformation,[status(thm)],[f83]) ).
fof(f201,plain,
! [X0] :
( pred_attacker(tuple_A_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f212,plain,
pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f213,plain,
pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f214,plain,
! [VAR_B_186] :
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(VAR_B_186,name_Na),name_P_7))))
| ~ pred_attacker(tuple_A_in_3(VAR_B_186)) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f215,plain,
! [X0] :
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
| ~ pred_attacker(tuple_A_in_3(X0)) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f219,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f232,plain,
pred_attacker(name_G_8),
inference(resolution,[status(thm)],[f199,f212]) ).
fof(f234,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_enc(X0,X1)) ),
inference(paramodulation,[status(thm)],[f151,f162]) ).
fof(f240,plain,
pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
inference(resolution,[status(thm)],[f213,f191]) ).
fof(f241,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))) ),
inference(resolution,[status(thm)],[f215,f201]) ).
fof(f242,plain,
! [X0] :
( pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))
| ~ pred_attacker(X0) ),
inference(resolution,[status(thm)],[f241,f187]) ).
fof(f245,plain,
! [X0] :
( pred_attacker(name_objective)
| ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
| ~ pred_attacker(X0) ),
inference(resolution,[status(thm)],[f242,f234]) ).
fof(f248,plain,
! [X0] :
( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f219]) ).
fof(f249,plain,
~ pred_attacker(name_G_8),
inference(resolution,[status(thm)],[f248,f240]) ).
fof(f253,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f249,f232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW956+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:20:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.050926 seconds
% 0.13/0.41 % CPU time: 0.162997 seconds
% 0.13/0.41 % Total memory used: 69.319 MB
% 0.13/0.41 % Net memory used: 69.275 MB
%------------------------------------------------------------------------------