%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS139+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 : 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 12:59:47 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 178 ( 79 ~; 77 |; 17 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 21 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( rpath(X,Y)
=> rpath(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rpath(iGhent,iAntwerp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
( cowlThing(iGhent)
& rpath(iAntwerp,iGhent)
& cowlThing(iAntwerp)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ( cowlThing(iGhent)
& rpath(iAntwerp,iGhent)
& cowlThing(iAntwerp)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f16,plain,
! [X,Y] :
( rpath(Y,X)
| ~ rpath(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( rpath(X1,X0)
| ~ rpath(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
rpath(iGhent,iAntwerp),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f22,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ( ( xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl) )
& ( ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl) ) )
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl)],[f23]) ).
fof(f25,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f29,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f26,f10]) ).
fof(f30,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl)
| ~ cowlThing(sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f25,f10]) ).
fof(f31,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f10]) ).
fof(f32,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f10]) ).
fof(f33,plain,
( ~ rpath(iAntwerp,iGhent)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl)
| cowlNothing(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f10]) ).
fof(f34,plain,
( ~ rpath(iAntwerp,iGhent)
| xsd_integer(sK2_skl)
| ~ xsd_string(sK2_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f35,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK2_skl)
| xsd_string(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f11]) ).
fof(f36,plain,
( ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_string(sK2_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f35,f37]) ).
fof(f37,plain,
( ~ rpath(iAntwerp,iGhent)
| xsd_integer(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f15]) ).
fof(f38,plain,
( ~ rpath(iGhent,iAntwerp)
| xsd_integer(sK2_skl) ),
inference(resolution,[status(thm)],[f37,f17]) ).
fof(f39,plain,
( ~ rpath(iAntwerp,iGhent)
| xsd_string(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f10]) ).
fof(f40,plain,
xsd_integer(sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f38,f20]) ).
fof(f41,plain,
~ xsd_string(sK2_skl),
inference(resolution,[status(thm)],[f40,f14]) ).
fof(f43,plain,
~ rpath(iAntwerp,iGhent),
inference(forward_subsumption_resolution,[status(thm)],[f39,f41]) ).
fof(f44,plain,
~ rpath(iGhent,iAntwerp),
inference(resolution,[status(thm)],[f43,f17]) ).
fof(f45,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f44,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS139+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:49:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.40 % Elapsed time: 0.023685 seconds
% 0.10/0.40 % CPU time: 0.044997 seconds
% 0.10/0.40 % Total memory used: 2.626 MB
% 0.10/0.40 % Net memory used: 2.565 MB
%------------------------------------------------------------------------------