%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS092+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 12:59:40 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 89 ( 35 ~; 29 |; 21 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ( cc(Y)
& cd(Y) ) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_04172),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( ( cc(Y)
& cd(Y) )
| ~ rr(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X] :
( ( ? [Y] :
( ( ~ cc(Y)
| ~ cd(Y) )
& rr(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ( cc(Y)
& cd(Y) )
| ~ rr(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
( ! [X] :
( ? [Y] :
( ( ~ cc(Y)
| ~ cd(Y) )
& rr(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ! [Y] :
( ( cc(Y)
& cd(Y) )
| ~ rr(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
( ! [X] :
( ( ( ~ cc(sK1_skl(X))
| ~ cd(sK1_skl(X)) )
& rr(X,sK1_skl(X)) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ! [Y] :
( ( cc(Y)
& cd(Y) )
| ~ rr(X,Y) )
& cowlThing(sK0_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f19]) ).
fof(f21,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
! [X0,X1] :
( cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( cc(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f27,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f37,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
! [X0,X1] :
( ~ cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f24,f28]) ).
fof(f40,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f23]) ).
fof(f41,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(backward_subsumption_resolution,[status(thm)],[f21,f40]) ).
fof(f45,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f37,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS092+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:53:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.033751 seconds
% 0.11/0.41 % CPU time: 0.079492 seconds
% 0.11/0.41 % Total memory used: 1.307 MB
% 0.11/0.41 % Net memory used: 1.279 MB
%------------------------------------------------------------------------------