%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:59:41 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 118 ( 47 ~; 40 |; 27 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 31 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ( ~ cd(Y)
| ce(Y) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X] :
( ( ! [Y] :
( ce(Y)
| ~ rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( cd(Y)
& ~ ce(Y)
& rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( ! [X] :
( ! [Y] :
( ce(Y)
| ~ rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( cd(Y)
& ~ ce(Y)
& rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f16,plain,
( ! [X] :
( ! [Y] :
( ce(Y)
| ~ rr(X,Y) )
| ( ~ cd(sK2_skl(X))
& rr(X,sK2_skl(X)) )
| ( cd(sK1_skl(X))
& ~ ce(sK1_skl(X))
& rr(X,sK1_skl(X)) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ~ ce(sK0_skl(X))
& rr(X,sK0_skl(X))
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ cd(X1)
| ce(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [X0] :
( ~ ce(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f29,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( ce(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f18]) ).
fof(f31,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rr(X0,sK0_skl(X1))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f30,f20]) ).
fof(f33,plain,
! [X0] :
( ~ rr(X0,sK0_skl(i2003_11_14_17_20_32704))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f34,plain,
~ rr(i2003_11_14_17_20_32704,sK0_skl(i2003_11_14_17_20_32704)),
inference(resolution,[status(thm)],[f33,f29]) ).
fof(f35,plain,
~ cUnsatisfiable(i2003_11_14_17_20_32704),
inference(resolution,[status(thm)],[f34,f19]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f35,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 22:53:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.38 % Elapsed time: 0.030425 seconds
% 0.11/0.38 % CPU time: 0.080460 seconds
% 0.11/0.38 % Total memory used: 1.368 MB
% 0.11/0.38 % Net memory used: 1.342 MB
%------------------------------------------------------------------------------