%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS129+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 : n026.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 12:59:45 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 156 ( 65 ~; 63 |; 22 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 48 ( 38 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cEuroMP(X)
<=> ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f65,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f66,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f69,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f81,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) )
| cEuroMP(X) )
& ( ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) )
| ~ cEuroMP(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f82,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) )
| cEuroMP(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) )
| ~ cEuroMP(X) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f83,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) )
| cEuroMP(X) )
& ! [X] :
( ( cowlThing(sK0_skl(X))
& risEuroMPFrom(X,sK0_skl(X)) )
| ~ cEuroMP(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f90,plain,
! [X,Y] :
( ( ~ rhasEuroMP(Y,X)
| risEuroMPFrom(X,Y) )
& ( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f91,plain,
( ! [X,Y] :
( ~ rhasEuroMP(Y,X)
| risEuroMPFrom(X,Y) )
& ! [X,Y] :
( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rhasEuroMP(X1,X0)
| risEuroMPFrom(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f101,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f102,plain,
( ~ cEuroMP(iKinnock)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f103,plain,
( ~ cEuroMP(iKinnock)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( ~ cEuroMP(iKinnock)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
( ~ cEuroMP(iKinnock)
| ( ( xsd_integer(sK3_skl)
| ~ xsd_string(sK3_skl) )
& ( ~ xsd_integer(sK3_skl)
| xsd_string(sK3_skl) ) )
| cowlNothing(sK2_skl)
| ~ cowlThing(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl)],[f104]) ).
fof(f106,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK3_skl)
| xsd_string(sK3_skl)
| cowlNothing(sK2_skl)
| ~ cowlThing(sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sK3_skl)
| ~ xsd_string(sK3_skl)
| cowlNothing(sK2_skl)
| ~ cowlThing(sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f114,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sK3_skl)
| ~ xsd_string(sK3_skl)
| cowlNothing(sK2_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f107,f66]) ).
fof(f115,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK3_skl)
| xsd_string(sK3_skl)
| cowlNothing(sK2_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f106,f66]) ).
fof(f117,plain,
! [X0,X1] :
( ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f66]) ).
fof(f118,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sK3_skl)
| ~ xsd_string(sK3_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f67]) ).
fof(f119,plain,
( xsd_integer(sK3_skl)
| ~ cEuroMP(iKinnock)
| xsd_integer(sK3_skl) ),
inference(resolution,[status(thm)],[f118,f71]) ).
fof(f120,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sK3_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f119]) ).
fof(f127,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK3_skl)
| xsd_string(sK3_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f67]) ).
fof(f129,plain,
risEuroMPFrom(iKinnock,iUK),
inference(resolution,[status(thm)],[f93,f101]) ).
fof(f131,plain,
cEuroMP(iKinnock),
inference(resolution,[status(thm)],[f129,f117]) ).
fof(f132,plain,
( ~ xsd_integer(sK3_skl)
| xsd_string(sK3_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f127,f131]) ).
fof(f133,plain,
xsd_integer(sK3_skl),
inference(backward_subsumption_resolution,[status(thm)],[f120,f131]) ).
fof(f135,plain,
~ xsd_integer(sK3_skl),
inference(forward_subsumption_resolution,[status(thm)],[f132,f70]) ).
fof(f136,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f133,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 22:57:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.050333 seconds
% 0.10/0.43 % CPU time: 0.145208 seconds
% 0.10/0.43 % Total memory used: 80.863 MB
% 0.10/0.43 % Net memory used: 80.732 MB
%------------------------------------------------------------------------------