%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS125+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 : n017.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 12:59:44 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.55s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 40 ~; 30 |; 11 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 49 ( 43 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cf(X)
& ce3(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_17947),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X] :
( ( ~ cf(X)
| ~ ce3(X)
| cUnsatisfiable(X) )
& ( ( cf(X)
& ce3(X) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
( ! [X] :
( ~ cf(X)
| ~ ce3(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( cf(X)
& ce3(X) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0] :
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0] :
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f26,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f32,plain,
! [X] :
( cd(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cd(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cd(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ra_Px1(X,sK0_skl(X))
| cd(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f39,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ! [X] :
( ra_Px1(X,sK1_skl(X))
| ~ cdxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f39]) ).
fof(f41,plain,
! [X0] :
( ra_Px1(X0,sK1_skl(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f54,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
cUnsatisfiable(i2003_11_14_17_22_17947),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cf(X0) ),
inference(resolution,[status(thm)],[f57,f36]) ).
fof(f61,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ ra_Px1(X0,X1) ),
inference(resolution,[status(thm)],[f59,f24]) ).
fof(f62,plain,
! [X0] : ~ ra_Px1(i2003_11_14_17_22_17947,X0),
inference(resolution,[status(thm)],[f61,f58]) ).
fof(f64,plain,
~ cdxcomp(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[f62,f41]) ).
fof(f67,plain,
~ cc(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[f64,f27]) ).
fof(f69,plain,
~ ce3(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[f67,f55]) ).
fof(f70,plain,
~ cUnsatisfiable(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[f69,f23]) ).
fof(f71,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f70,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n017.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 22:49:13 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.61 % Elapsed time: 0.084474 seconds
% 0.15/0.61 % CPU time: 0.091466 seconds
% 0.15/0.61 % Total memory used: 1.437 MB
% 0.15/0.61 % Net memory used: 1.399 MB
%------------------------------------------------------------------------------