%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS069+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 12:59:37 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 114 ( 13 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 124 ( 49 ~; 45 |; 25 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 67 ( 58 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp2(Y)
& rf3(X,Y) )
& ? [Y] :
( ~ cp1(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z] :
( ( rf2(X,Z)
& rf2(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
cUnsatisfiable(i2003_11_14_17_18_2750),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,plain,
! [X] :
( ( ! [Y] :
( ~ cp2(Y)
| ~ rf3(X,Y) )
| ! [Y] :
( cp1(Y)
| ~ rf2(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp2(Y)
& rf3(X,Y) )
& ? [Y] :
( ~ cp1(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f70,plain,
( ! [X] :
( ! [Y] :
( ~ cp2(Y)
| ~ rf3(X,Y) )
| ! [Y] :
( cp1(Y)
| ~ rf2(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp2(Y)
& rf3(X,Y) )
& ? [Y] :
( ~ cp1(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ! [Y] :
( ~ cp2(Y)
| ~ rf3(X,Y) )
| ! [Y] :
( cp1(Y)
| ~ rf2(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cp2(sK2_skl(X))
& rf3(X,sK2_skl(X))
& ~ cp1(sK1_skl(X))
& rf2(X,sK1_skl(X))
& cp1(sK0_skl(X))
& rf1(X,sK0_skl(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f70]) ).
fof(f72,plain,
! [X0] :
( rf1(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] :
( cp1(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,plain,
! [X0] :
( rf2(X0,sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [X0] :
( ~ cp1(sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f76,plain,
! [X0] :
( rf3(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f79,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f80,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf2(X,Z)
| ~ rf2(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f83,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf2(X,Z)
| ~ rf2(X,Y) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f88,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rf3(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f90,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rf3(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f92,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f94,plain,
rf1(i2003_11_14_17_18_2750,sK0_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f72,f88]) ).
fof(f95,plain,
cp1(sK0_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f73,f88]) ).
fof(f96,plain,
rf2(i2003_11_14_17_18_2750,sK1_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f74,f88]) ).
fof(f97,plain,
rf3(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f76,f88]) ).
fof(f99,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_18_2750)
| ~ rf1(i2003_11_14_17_18_2750,X0) ),
inference(resolution,[status(thm)],[f94,f81]) ).
fof(f100,plain,
! [X0] :
( X0 = sK1_skl(i2003_11_14_17_18_2750)
| ~ rf2(i2003_11_14_17_18_2750,X0) ),
inference(resolution,[status(thm)],[f96,f84]) ).
fof(f102,plain,
rf2(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f97,f92]) ).
fof(f104,plain,
rf1(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750)),
inference(resolution,[status(thm)],[f97,f90]) ).
fof(f107,plain,
sK2_skl(i2003_11_14_17_18_2750) = sK1_skl(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[f102,f100]) ).
fof(f111,plain,
sK2_skl(i2003_11_14_17_18_2750) = sK0_skl(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[f104,f99]) ).
fof(f126,plain,
sK1_skl(i2003_11_14_17_18_2750) = sK0_skl(i2003_11_14_17_18_2750),
inference(forward_demodulation,[status(thm)],[f107,f111]) ).
fof(f127,plain,
( ~ cp1(sK0_skl(i2003_11_14_17_18_2750))
| ~ cUnsatisfiable(i2003_11_14_17_18_2750) ),
inference(paramodulation,[status(thm)],[f126,f75]) ).
fof(f128,plain,
~ cp1(sK0_skl(i2003_11_14_17_18_2750)),
inference(forward_subsumption_resolution,[status(thm)],[f127,f88]) ).
fof(f132,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f128,f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS069+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:48:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.035633 seconds
% 0.14/0.40 % CPU time: 0.074621 seconds
% 0.14/0.40 % Total memory used: 2.304 MB
% 0.14/0.40 % Net memory used: 2.224 MB
%------------------------------------------------------------------------------