%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS097+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 : n002.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 12:59:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 110 ( 14 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 129 ( 48 ~; 42 |; 37 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 37 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ~ ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] :
~ ( cc(X)
& cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f123,plain,
! [X] :
( ( ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y0] : ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
( ! [X] :
( ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y0] : ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f125,plain,
( ! [X] :
( ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) )
| ( sK3_skl(X) != sK4_skl(X)
& rr(X,sK4_skl(X))
& rr(X,sK3_skl(X)) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y0] : ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ! [X] :
( ( cc(sK2_skl(X))
& rr(X,sK2_skl(X))
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cd(sK1_skl(X))
& rr(X,sK1_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(Y0,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(Y0,sK3_skl(X)),skolemize(Y1,sK4_skl(X))],[f124]) ).
fof(f126,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [X0] :
( rr(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f128,plain,
! [X0] :
( cd(sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f129,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f130,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f131,plain,
! [X0] :
( cc(sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f140,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f143,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f144,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f160,plain,
rr(i2003_11_14_17_20_21603,sK0_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f126,f140]) ).
fof(f161,plain,
cd(sK1_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f128,f140]) ).
fof(f164,plain,
rr(i2003_11_14_17_20_21603,sK1_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f127,f140]) ).
fof(f165,plain,
cc(sK2_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f131,f140]) ).
fof(f167,plain,
~ cd(sK2_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f165,f144]) ).
fof(f169,plain,
rr(i2003_11_14_17_20_21603,sK2_skl(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[f130,f140]) ).
fof(f170,plain,
! [X0] :
( sK0_skl(i2003_11_14_17_20_21603) = X0
| ~ rr(i2003_11_14_17_20_21603,X0)
| ~ cUnsatisfiable(i2003_11_14_17_20_21603) ),
inference(resolution,[status(thm)],[f160,f129]) ).
fof(f171,plain,
! [X0] :
( sK0_skl(i2003_11_14_17_20_21603) = X0
| ~ rr(i2003_11_14_17_20_21603,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f140]) ).
fof(f178,plain,
sK0_skl(i2003_11_14_17_20_21603) = sK2_skl(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[f171,f169]) ).
fof(f179,plain,
sK0_skl(i2003_11_14_17_20_21603) = sK1_skl(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[f171,f164]) ).
fof(f189,plain,
cd(sK2_skl(i2003_11_14_17_20_21603)),
inference(backward_demodulation,[status(thm)],[f190,f161]) ).
fof(f190,plain,
sK2_skl(i2003_11_14_17_20_21603) = sK1_skl(i2003_11_14_17_20_21603),
inference(forward_demodulation,[status(thm)],[f178,f179]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f189,f167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS097+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 22:56:19 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.029870 seconds
% 0.12/0.38 % CPU time: 0.083750 seconds
% 0.12/0.38 % Total memory used: 3.348 MB
% 0.12/0.38 % Net memory used: 3.218 MB
%------------------------------------------------------------------------------