%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS075+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 : n019.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 12:59:38 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 113 ( 13 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 121 ( 47 ~; 44 |; 25 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 67 ( 58 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( ~ cp(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_02584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( cp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( ~ cp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( cp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( ~ cp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( cp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cp(sK2_skl(X))
& rf(X,sK2_skl(X))
& cowlThing(sK1_skl(X))
& rs(X,sK1_skl(X))
& ~ cp(sK0_skl(X))
& rf1(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(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f93]) ).
fof(f95,plain,
! [X0] :
( rf1(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ cp(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [X0] :
( rs(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f99,plain,
! [X0] :
( rf(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f100,plain,
! [X0] :
( cp(sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f102,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f103,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f106,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f123,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f124,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f125,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f127,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,plain,
rf1(i2003_11_14_17_19_02584,sK0_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f95,f123]) ).
fof(f130,plain,
rs(i2003_11_14_17_19_02584,sK1_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f97,f123]) ).
fof(f131,plain,
cp(sK2_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f100,f123]) ).
fof(f132,plain,
rf(i2003_11_14_17_19_02584,sK2_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f99,f123]) ).
fof(f135,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_19_02584)
| ~ rf1(i2003_11_14_17_19_02584,X0) ),
inference(resolution,[status(thm)],[f129,f107]) ).
fof(f137,plain,
rf(i2003_11_14_17_19_02584,sK1_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f130,f127]) ).
fof(f139,plain,
rf1(i2003_11_14_17_19_02584,sK1_skl(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[f130,f125]) ).
fof(f142,plain,
! [X0] :
( X0 = sK2_skl(i2003_11_14_17_19_02584)
| ~ rf(i2003_11_14_17_19_02584,X0) ),
inference(resolution,[status(thm)],[f132,f104]) ).
fof(f147,plain,
sK1_skl(i2003_11_14_17_19_02584) = sK0_skl(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[f139,f135]) ).
fof(f154,plain,
sK1_skl(i2003_11_14_17_19_02584) = sK2_skl(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[f142,f137]) ).
fof(f176,plain,
cp(sK0_skl(i2003_11_14_17_19_02584)),
inference(backward_demodulation,[status(thm)],[f177,f131]) ).
fof(f177,plain,
sK0_skl(i2003_11_14_17_19_02584) = sK2_skl(i2003_11_14_17_19_02584),
inference(forward_demodulation,[status(thm)],[f147,f154]) ).
fof(f178,plain,
~ cUnsatisfiable(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[f176,f96]) ).
fof(f179,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f178,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:53:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.038950 seconds
% 0.08/0.41 % CPU time: 0.080849 seconds
% 0.08/0.41 % Total memory used: 2.836 MB
% 0.08/0.41 % Net memory used: 2.703 MB
%------------------------------------------------------------------------------