%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS087+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.10s 5.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 119 ( 45 ~; 40 |; 29 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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; 0-3 aty)
% Number of variables : 56 ( 46 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( rinvR(Z,W)
=> ~ cp1(W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( ( rr(Y,Z)
& rr(X,Y) )
=> rr(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X] :
( ( ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ? [W] :
( cp1(W)
& rinvR(Z,W) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| ~ cp1(X)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
( ! [X] :
( ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ? [W] :
( cp1(W)
& rinvR(Z,W) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| ~ cp1(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
( ! [X] :
( ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ( cp1(sK2_skl(Z,Y,X))
& rinvR(Z,sK2_skl(Z,Y,X)) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| ~ cp1(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( cp1(sK1_skl(X))
& ! [W] :
( ~ cp1(W)
| ~ rinvR(sK1_skl(X),W) )
& rr(sK0_skl(X),sK1_skl(X))
& rr(X,sK0_skl(X))
& cp1(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(W,sK2_skl(Z,Y,X))],[f74]) ).
fof(f76,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
! [X0] :
( rr(sK0_skl(X0),sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
! [X0,X1] :
( ~ cp1(X1)
| ~ rinvR(sK1_skl(X0),X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f90,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f91,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f94,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f95,plain,
! [X,Z] :
( rr(X,Z)
| ! [Y] :
( ~ rr(Y,Z)
| ~ rr(X,Y) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f99,plain,
cp1(i2003_11_14_17_19_46763),
inference(resolution,[status(thm)],[f76,f97]) ).
fof(f100,plain,
rr(i2003_11_14_17_19_46763,sK0_skl(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[f77,f97]) ).
fof(f102,plain,
rr(sK0_skl(i2003_11_14_17_19_46763),sK1_skl(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[f78,f97]) ).
fof(f110,plain,
! [X0] :
( rr(i2003_11_14_17_19_46763,X0)
| ~ rr(sK0_skl(i2003_11_14_17_19_46763),X0) ),
inference(resolution,[status(thm)],[f96,f100]) ).
fof(f111,plain,
rr(i2003_11_14_17_19_46763,sK1_skl(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[f110,f102]) ).
fof(f113,plain,
rinvR(sK1_skl(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763),
inference(resolution,[status(thm)],[f111,f93]) ).
fof(f114,plain,
( ~ cp1(i2003_11_14_17_19_46763)
| ~ cUnsatisfiable(i2003_11_14_17_19_46763) ),
inference(resolution,[status(thm)],[f113,f79]) ).
fof(f116,plain,
~ cp1(i2003_11_14_17_19_46763),
inference(forward_subsumption_resolution,[status(thm)],[f114,f97]) ).
fof(f117,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f116,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS087+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n020.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 22:54:10 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.035663 seconds
% 0.14/5.41 % CPU time: 0.077952 seconds
% 0.14/5.41 % Total memory used: 2.410 MB
% 0.14/5.41 % Net memory used: 2.312 MB
%------------------------------------------------------------------------------