%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS079+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 : n001.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 12:59:38 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.56s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 131 ( 13 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 141 ( 56 ~; 50 |; 27 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 74 ( 65 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ cp2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y1)
& rf1(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y1)
& rf2(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
cUnsatisfiable(i2003_11_14_17_19_17492),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f63,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f69,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f70,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cowlThing(sK2_skl(X))
& rr(X,sK2_skl(X))
& cp1(sK1_skl(X))
& rf1(X,sK1_skl(X))
& cp2(sK0_skl(X))
& rf2(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] :
( rf2(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] :
( cp2(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,plain,
! [X0] :
( rf1(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] :
( rr(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f79,plain,
! [X] :
( ~ cp2(X)
| ~ cp1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f80,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf1(X,Y1)
| ~ rf1(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f82,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf2(X,Y1)
| ~ rf2(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f86,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f87,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f89,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f91,plain,
rf2(i2003_11_14_17_19_17492,sK0_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f72,f85]) ).
fof(f92,plain,
cp2(sK0_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f73,f85]) ).
fof(f93,plain,
rf1(i2003_11_14_17_19_17492,sK1_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f74,f85]) ).
fof(f94,plain,
~ cp1(sK0_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f92,f80]) ).
fof(f95,plain,
cp1(sK1_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f75,f85]) ).
fof(f96,plain,
rr(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f76,f85]) ).
fof(f98,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f63]) ).
fof(f99,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f63]) ).
fof(f100,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_19_17492)
| ~ rf2(i2003_11_14_17_19_17492,X0) ),
inference(resolution,[status(thm)],[f91,f99]) ).
fof(f101,plain,
! [X0] :
( X0 = sK1_skl(i2003_11_14_17_19_17492)
| ~ rf1(i2003_11_14_17_19_17492,X0) ),
inference(resolution,[status(thm)],[f93,f98]) ).
fof(f102,plain,
rf2(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f96,f89]) ).
fof(f103,plain,
rf1(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f96,f87]) ).
fof(f106,plain,
sK2_skl(i2003_11_14_17_19_17492) = sK0_skl(i2003_11_14_17_19_17492),
inference(resolution,[status(thm)],[f102,f100]) ).
fof(f109,plain,
sK2_skl(i2003_11_14_17_19_17492) = sK1_skl(i2003_11_14_17_19_17492),
inference(resolution,[status(thm)],[f103,f101]) ).
fof(f121,plain,
cp1(sK0_skl(i2003_11_14_17_19_17492)),
inference(backward_demodulation,[status(thm)],[f122,f95]) ).
fof(f122,plain,
sK0_skl(i2003_11_14_17_19_17492) = sK1_skl(i2003_11_14_17_19_17492),
inference(forward_demodulation,[status(thm)],[f106,f109]) ).
fof(f123,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f121,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS079+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n001.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Sun Sep 20 22:58:13 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.10/0.56 % Refutation found
% 0.10/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.029100 seconds
% 0.14/0.58 % CPU time: 0.078829 seconds
% 0.14/0.58 % Total memory used: 2.261 MB
% 0.14/0.58 % Net memory used: 2.188 MB
%------------------------------------------------------------------------------