%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:59:37 PM UTC 2026
% Result : Unsatisfiable 0.07s 15.66s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 88 ( 32 ~; 27 |; 26 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 32 ( 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rs(X,Y)
=> ~ cp(Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
! [X] :
( ( ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) )
| ~ cp(Y)
| ~ rs(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) )
| ~ cp(Y)
| ~ rs(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [X] :
( ( cp(sK2_skl(X))
& rs(X,sK2_skl(X)) )
| ! [Y] :
( ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) )
| ~ cp(Y)
| ~ rs(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& cp(sK1_skl(X))
& rinvS(sK0_skl(X),sK1_skl(X))
& cp(sK0_skl(X))
& rs(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f94]) ).
fof(f96,plain,
! [X0] :
( rs(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0] :
( cp(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
! [X0,X1] :
( ~ cp(X1)
| ~ rs(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f124,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f130,plain,
cp(sK0_skl(i2003_11_14_17_18_59896)),
inference(resolution,[status(thm)],[f97,f124]) ).
fof(f131,plain,
rs(i2003_11_14_17_18_59896,sK0_skl(i2003_11_14_17_18_59896)),
inference(resolution,[status(thm)],[f96,f124]) ).
fof(f137,plain,
( ~ cp(sK0_skl(i2003_11_14_17_18_59896))
| ~ cUnsatisfiable(i2003_11_14_17_18_59896) ),
inference(resolution,[status(thm)],[f100,f131]) ).
fof(f138,plain,
~ cp(sK0_skl(i2003_11_14_17_18_59896)),
inference(forward_subsumption_resolution,[status(thm)],[f137,f124]) ).
fof(f139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f138,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.63 % CPULimit : 300
% 0.07/15.63 % WCLimit : 300
% 0.07/15.63 % DateTime : Sun Sep 20 22:52:59 UTC 2026
% 0.07/15.63 % CPUTime :
% 0.07/15.64 % Drodi V4.1.1
% 0.07/15.66 % Refutation found
% 0.07/15.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/15.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/15.67 % Elapsed time: 0.036315 seconds
% 0.07/15.67 % CPU time: 0.087024 seconds
% 0.07/15.67 % Total memory used: 2.624 MB
% 0.07/15.67 % Net memory used: 2.515 MB
%------------------------------------------------------------------------------