%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS076+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 : n016.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 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 144 ( 12 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 157 ( 59 ~; 55 |; 35 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 75 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ! [Z] :
( rinvF1(Y,Z)
=> ? [W] :
( cowlThing(W)
& rs(Z,W) ) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(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(f25,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
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] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ! [Z] :
( ? [W] :
( cowlThing(W)
& rs(Z,W) )
| ~ rinvF1(Y,Z) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
! [X] :
( ( ! [Y] :
( ? [Z] :
( ! [W] :
( ~ cowlThing(W)
| ~ rs(Z,W) )
& rinvF1(Y,Z) )
| cp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ! [Z] :
( ? [W] :
( cowlThing(W)
& rs(Z,W) )
| ~ rinvF1(Y,Z) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ! [Y] :
( ? [Z] :
( ! [W] :
( ~ cowlThing(W)
| ~ rs(Z,W) )
& rinvF1(Y,Z) )
| cp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ! [Z] :
( ? [W] :
( cowlThing(W)
& rs(Z,W) )
| ~ rinvF1(Y,Z) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [X] :
( ! [Y] :
( ( ! [W] :
( ~ cowlThing(W)
| ~ rs(sK3_skl(Y,X),W) )
& rinvF1(Y,sK3_skl(Y,X)) )
| cp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ! [Z] :
( ( cowlThing(sK2_skl(Z,X))
& rs(Z,sK2_skl(Z,X)) )
| ~ rinvF1(sK1_skl(X),Z) )
& ~ cp(sK1_skl(X))
& rf1(X,sK1_skl(X))
& cp(sK0_skl(X))
& rf(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(W,sK2_skl(Z,X)),skolemize(Z,sK3_skl(Y,X))],[f94]) ).
fof(f96,plain,
! [X0] :
( rf(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(f98,plain,
! [X0] :
( rf1(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
! [X0] :
( ~ cp(sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
! [X0,X1] :
( rs(X1,sK2_skl(X1,X0))
| ~ rinvF1(sK1_skl(X0),X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f104,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f105,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f108,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f114,plain,
! [X,Y] :
( ( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f115,plain,
( ! [X,Y] :
( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ! [X,Y] :
( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f125,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f126,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f127,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f129,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f131,plain,
cp(sK0_skl(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f97,f125]) ).
fof(f132,plain,
rf(i2003_11_14_17_19_06193,sK0_skl(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f96,f125]) ).
fof(f133,plain,
rf1(i2003_11_14_17_19_06193,sK1_skl(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f98,f125]) ).
fof(f135,plain,
rinvF1(sK1_skl(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[f133,f117]) ).
fof(f137,plain,
( rs(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(resolution,[status(thm)],[f135,f100]) ).
fof(f139,plain,
rs(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(forward_subsumption_resolution,[status(thm)],[f137,f125]) ).
fof(f140,plain,
! [X0] :
( sK0_skl(i2003_11_14_17_19_06193) = X0
| ~ rf(i2003_11_14_17_19_06193,X0) ),
inference(resolution,[status(thm)],[f106,f132]) ).
fof(f141,plain,
! [X0] :
( sK1_skl(i2003_11_14_17_19_06193) = X0
| ~ rf1(i2003_11_14_17_19_06193,X0) ),
inference(resolution,[status(thm)],[f109,f133]) ).
fof(f143,plain,
rf(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f139,f129]) ).
fof(f144,plain,
rf1(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[f139,f127]) ).
fof(f148,plain,
sK0_skl(i2003_11_14_17_19_06193) = sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[f143,f140]) ).
fof(f156,plain,
rf1(i2003_11_14_17_19_06193,sK0_skl(i2003_11_14_17_19_06193)),
inference(backward_demodulation,[status(thm)],[f148,f144]) ).
fof(f161,plain,
sK1_skl(i2003_11_14_17_19_06193) = sK0_skl(i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[f156,f141]) ).
fof(f175,plain,
cp(sK1_skl(i2003_11_14_17_19_06193)),
inference(backward_demodulation,[status(thm)],[f161,f131]) ).
fof(f176,plain,
~ cUnsatisfiable(i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[f175,f99]) ).
fof(f177,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f176,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS076+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:57:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.030015 seconds
% 0.14/0.41 % CPU time: 0.088027 seconds
% 0.14/0.41 % Total memory used: 2.987 MB
% 0.14/0.41 % Net memory used: 2.857 MB
%------------------------------------------------------------------------------