%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS088+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 : 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 12:59:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 100 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 117 ( 47 ~; 41 |; 24 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 57 ( 47 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( cp1(Y)
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( ~ cp1(W)
& rf(Z,W) ) )
& rf(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,plain,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( cp1(Y)
& ! [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
| ~ rinvF(Y,Z) )
& rf(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X] :
( ( ! [Y] :
( ~ cp1(Y)
| ? [Z] :
( ! [W] :
( cp1(W)
| ~ rf(Z,W) )
& rinvF(Y,Z) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ? [Y] :
( cp1(Y)
& ! [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
| ~ rinvF(Y,Z) )
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ? [Z] :
( ! [W] :
( cp1(W)
| ~ rf(Z,W) )
& rinvF(Y,Z) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ? [Y] :
( cp1(Y)
& ! [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
| ~ rinvF(Y,Z) )
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ( ! [W] :
( cp1(W)
| ~ rf(sK2_skl(Y,X),W) )
& rinvF(Y,sK2_skl(Y,X)) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cp1(sK0_skl(X))
& ! [Z] :
( ( ~ cp1(sK1_skl(Z,X))
& rf(Z,sK1_skl(Z,X)) )
| ~ rinvF(sK0_skl(X),Z) )
& rf(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(W,sK1_skl(Z,X)),skolemize(Z,sK2_skl(Y,X))],[f74]) ).
fof(f76,plain,
! [X0] :
( rf(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( rf(X1,sK1_skl(X1,X0))
| ~ rinvF(sK0_skl(X0),X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
! [X0,X1] :
( ~ cp1(sK1_skl(X1,X0))
| ~ rinvF(sK0_skl(X0),X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
! [X0] :
( cp1(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f82,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f83,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f86,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f88,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f96,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f98,plain,
rf(i2003_11_14_17_19_49673,sK0_skl(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[f76,f96]) ).
fof(f99,plain,
cp1(sK0_skl(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[f79,f96]) ).
fof(f100,plain,
rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[f98,f88]) ).
fof(f101,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_19_49673)
| ~ rf(i2003_11_14_17_19_49673,X0) ),
inference(resolution,[status(thm)],[f98,f84]) ).
fof(f103,plain,
( rf(i2003_11_14_17_19_49673,sK1_skl(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))
| ~ cUnsatisfiable(i2003_11_14_17_19_49673) ),
inference(resolution,[status(thm)],[f100,f77]) ).
fof(f105,plain,
rf(i2003_11_14_17_19_49673,sK1_skl(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)),
inference(forward_subsumption_resolution,[status(thm)],[f103,f96]) ).
fof(f107,plain,
sK1_skl(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673) = sK0_skl(i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[f105,f101]) ).
fof(f112,plain,
( ~ cp1(sK0_skl(i2003_11_14_17_19_49673))
| ~ rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)
| ~ cUnsatisfiable(i2003_11_14_17_19_49673) ),
inference(paramodulation,[status(thm)],[f107,f78]) ).
fof(f113,plain,
( ~ cp1(sK0_skl(i2003_11_14_17_19_49673))
| ~ rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f96]) ).
fof(f117,plain,
~ cp1(sK0_skl(i2003_11_14_17_19_49673)),
inference(forward_subsumption_resolution,[status(thm)],[f113,f100]) ).
fof(f118,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f99,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS088+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:55:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.029868 seconds
% 0.09/0.40 % CPU time: 0.080918 seconds
% 0.09/0.40 % Total memory used: 2.305 MB
% 0.09/0.40 % Net memory used: 2.210 MB
%------------------------------------------------------------------------------