%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS089+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 : n013.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 12:59:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 111 ( 42 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 122 ( 47 ~; 42 |; 29 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 64 ( 53 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( cowlThing(X)
=> ? [Y] :
( Y = ispy
& rp(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( rp(X,Y)
<=> rinvP(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X2)
& rinvP(ispy,X1)
& rinvP(ispy,X0) )
=> ( X1 = X2
| X0 = X2
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f54,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f60,plain,
! [X] :
( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ~ cUnsatisfiable(X) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f61,plain,
! [X] :
( ? [Y1,Y2] :
( Y1 != Y2
& ? [Y0] :
( Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) )
| ~ cUnsatisfiable(X) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
! [X] :
( ( sK0_skl(X) != sK1_skl(X)
& sK2_skl(X) != sK1_skl(X)
& sK2_skl(X) != sK0_skl(X)
& rr(X,sK1_skl(X))
& rr(X,sK0_skl(X))
& rr(X,sK2_skl(X)) )
| ~ cUnsatisfiable(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y1,sK0_skl(X)),skolemize(Y2,sK1_skl(X)),skolemize(Y0,sK2_skl(X))],[f61]) ).
fof(f66,plain,
! [X0] :
( sK2_skl(X0) != sK0_skl(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f67,plain,
! [X0] :
( sK2_skl(X0) != sK1_skl(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f68,plain,
! [X0] :
( sK0_skl(X0) != sK1_skl(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f69,plain,
! [X] :
( ? [Y] :
( Y = ispy
& rp(X,Y) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f70,plain,
! [X] :
( ( sK3_skl(X) = ispy
& rp(X,sK3_skl(X)) )
| ~ cowlThing(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f69]) ).
fof(f71,plain,
! [X0] :
( rp(X0,sK3_skl(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0] :
( sK3_skl(X0) = ispy
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X,Y] :
( ( ~ rinvP(Y,X)
| rp(X,Y) )
& ( rinvP(Y,X)
| ~ rp(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f74,plain,
( ! [X,Y] :
( ~ rinvP(Y,X)
| rp(X,Y) )
& ! [X,Y] :
( rinvP(Y,X)
| ~ rp(X,Y) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( rinvP(X1,X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f78,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f80,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f82,plain,
! [X0] : sK3_skl(X0) = ispy,
inference(forward_subsumption_resolution,[status(thm)],[f72,f54]) ).
fof(f83,plain,
! [X0] :
( rp(X0,ispy)
| ~ cowlThing(X0) ),
inference(forward_demodulation,[status(thm)],[f82,f71]) ).
fof(f84,plain,
! [X0] : rp(X0,ispy),
inference(forward_subsumption_resolution,[status(thm)],[f83,f54]) ).
fof(f85,plain,
! [X0] : rinvP(ispy,X0),
inference(resolution,[status(thm)],[f84,f75]) ).
fof(f87,plain,
! [X0,X1,X2] :
( X0 = X1
| X2 = X1
| X2 = X0
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f85]) ).
fof(f88,plain,
! [X0,X1,X2] :
( X0 = X2
| X1 = X2
| X1 = X0
| ~ rinvP(ispy,X0) ),
inference(resolution,[status(thm)],[f87,f85]) ).
fof(f89,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f85]) ).
fof(f91,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| X1 = sK1_skl(X0)
| sK0_skl(X0) = X1 ),
inference(resolution,[status(thm)],[f89,f68]) ).
fof(f116,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| sK0_skl(X0) = sK2_skl(X0) ),
inference(resolution,[status(thm)],[f91,f67]) ).
fof(f120,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK0_skl(X0) = sK2_skl(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f116]) ).
fof(f121,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[status(thm)],[f120,f66]) ).
fof(f130,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f80,f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:52:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.037963 seconds
% 0.09/0.41 % CPU time: 0.080486 seconds
% 0.09/0.41 % Total memory used: 2.181 MB
% 0.09/0.41 % Net memory used: 2.089 MB
%------------------------------------------------------------------------------