%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS111+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 : n005.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 12:59:42 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.60s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 149 ( 13 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 159 ( 62 ~; 58 |; 31 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 96 ( 81 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f107,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f108,plain,
( ! [X] :
( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ cpxcomp(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))
& cpxcomp(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))],[f107]) ).
fof(f109,plain,
! [X0] :
( rf1(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0] :
( cpxcomp(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f111,plain,
! [X0] :
( rs(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f113,plain,
! [X0] :
( rf(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f114,plain,
! [X0] :
( cp(sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f116,plain,
! [X] :
( cp(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f117,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(NNF_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f119,plain,
( ! [X] :
( ra_Px1(X,sK3_skl(X))
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f122,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f123,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f124,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ra_Px1(X,sK4_skl(X))
| ~ cpxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f123]) ).
fof(f125,plain,
! [X0] :
( ra_Px1(X0,sK4_skl(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f127,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f128,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f131,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f148,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f149,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f150,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f152,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f154,plain,
rf1(i2003_11_14_17_21_15425,sK0_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f109,f148]) ).
fof(f155,plain,
cpxcomp(sK0_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f110,f148]) ).
fof(f156,plain,
rs(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f111,f148]) ).
fof(f157,plain,
rf(i2003_11_14_17_21_15425,sK2_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f113,f148]) ).
fof(f158,plain,
cp(sK2_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f114,f148]) ).
fof(f162,plain,
ra_Px1(sK0_skl(i2003_11_14_17_21_15425),sK4_skl(sK0_skl(i2003_11_14_17_21_15425))),
inference(resolution,[status(thm)],[f125,f155]) ).
fof(f165,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_21_15425)
| ~ rf1(i2003_11_14_17_21_15425,X0) ),
inference(resolution,[status(thm)],[f154,f132]) ).
fof(f167,plain,
rf1(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f156,f152]) ).
fof(f169,plain,
rf(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f156,f150]) ).
fof(f172,plain,
! [X0] :
( X0 = sK2_skl(i2003_11_14_17_21_15425)
| ~ rf(i2003_11_14_17_21_15425,X0) ),
inference(resolution,[status(thm)],[f157,f129]) ).
fof(f175,plain,
~ cp(sK0_skl(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[f162,f120]) ).
fof(f179,plain,
sK1_skl(i2003_11_14_17_21_15425) = sK0_skl(i2003_11_14_17_21_15425),
inference(resolution,[status(thm)],[f167,f165]) ).
fof(f188,plain,
sK1_skl(i2003_11_14_17_21_15425) = sK2_skl(i2003_11_14_17_21_15425),
inference(resolution,[status(thm)],[f172,f169]) ).
fof(f210,plain,
cp(sK0_skl(i2003_11_14_17_21_15425)),
inference(backward_demodulation,[status(thm)],[f211,f158]) ).
fof(f211,plain,
sK0_skl(i2003_11_14_17_21_15425) = sK2_skl(i2003_11_14_17_21_15425),
inference(forward_demodulation,[status(thm)],[f179,f188]) ).
fof(f212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f210,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n005.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 22:53:51 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.62 % Elapsed time: 0.032639 seconds
% 0.10/0.62 % CPU time: 0.079689 seconds
% 0.10/0.62 % Total memory used: 3.002 MB
% 0.10/0.62 % Net memory used: 2.886 MB
%------------------------------------------------------------------------------