%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS093+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 : n011.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 12:59:40 PM UTC 2026
% Result : Unsatisfiable 0.07s 5.38s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 24 ~; 17 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ce3(X)
& cf(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X] :
( ( ~ ce3(X)
| ~ cf(X)
| cUnsatisfiable(X) )
& ( ( ce3(X)
& cf(X) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
( ! [X] :
( ~ ce3(X)
| ~ cf(X)
| cUnsatisfiable(X) )
& ! [X] :
( ( ce3(X)
& cf(X) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0] :
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0] :
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f22,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f28,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f31,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
! [X0] :
( ~ cc(X0)
| ~ cf(X0) ),
inference(resolution,[status(thm)],[f31,f23]) ).
fof(f35,plain,
! [X0] :
( ~ ce3(X0)
| ~ cf(X0) ),
inference(resolution,[status(thm)],[f34,f29]) ).
fof(f36,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cf(X0) ),
inference(resolution,[status(thm)],[f35,f20]) ).
fof(f37,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[status(thm)],[f36,f19]) ).
fof(f39,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f32,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36 % Computer : n011.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.37 % DateTime : Sun Sep 20 22:53:31 UTC 2026
% 0.07/5.37 % CPUTime :
% 0.07/5.37 % Drodi V4.1.1
% 0.07/5.38 % Refutation found
% 0.07/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/5.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/5.40 % Elapsed time: 0.025253 seconds
% 0.07/5.40 % CPU time: 0.067651 seconds
% 0.07/5.40 % Total memory used: 1.062 MB
% 0.07/5.40 % Net memory used: 1.055 MB
%------------------------------------------------------------------------------