%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS145+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 : n014.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 0.07s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 87 ( 6 unt; 13 def)
% Number of atoms : 376 ( 71 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 458 ( 169 ~; 204 |; 61 &)
% ( 16 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 110 ( 83 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cc(X)
=> ( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
& ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
( ! [X] :
( cc(X)
=> ( ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ ( ! [X] :
( cc(X)
=> ( ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f34,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f35,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
! [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
& ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rp(X,Y2)
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
| ~ cc(X) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
! [X] :
( ( sK0_skl(X) != sK1_skl(X)
& rp(X,sK1_skl(X))
& rp(X,sK0_skl(X))
& ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rp(X,Y2)
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
| ~ cc(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y0,sK0_skl(X)),skolemize(Y1,sK1_skl(X))],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] :
( rp(X0,sK0_skl(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0] :
( rp(X0,sK1_skl(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0] :
( sK0_skl(X0) != sK1_skl(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
( ? [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
& cc(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f48,definition,
! [X] :
( sP0_prd(X)
<=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f49,plain,
( ? [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
& cc(X) )
| ? [X] : sP0_prd(X)
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(formula_renaming,[status(thm)],[f47,f48]) ).
fof(f50,plain,
( ? [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
& cc(X) )
| ? [X] : sP0_prd(X)
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
( ( ( ( sK7_skl != sK8_skl
& sK6_skl != sK8_skl
& sK6_skl != sK7_skl
& rp(sK5_skl,sK8_skl)
& rp(sK5_skl,sK7_skl)
& rp(sK5_skl,sK6_skl) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(sK5_skl,Y1)
| ~ rp(sK5_skl,Y0) ) )
& cc(sK5_skl) )
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl),skolemize(X,sK5_skl),skolemize(Y0,sK6_skl),skolemize(Y1,sK7_skl),skolemize(Y2,sK8_skl)],[f50]) ).
fof(f52,plain,
( cc(sK5_skl)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( rp(sK5_skl,sK6_skl)
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [X0,X1] :
( rp(sK5_skl,sK7_skl)
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f55,plain,
! [X0,X1] :
( rp(sK5_skl,sK8_skl)
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f56,plain,
! [X0,X1] :
( sK6_skl != sK7_skl
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f57,plain,
! [X0,X1] :
( sK6_skl != sK8_skl
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f58,plain,
! [X0,X1] :
( sK7_skl != sK8_skl
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0)
| sP0_prd(sK4_skl)
| cowlNothing(sK3_skl)
| ~ cowlThing(sK2_skl) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f59,plain,
! [X] :
( ( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(NNF_transformation,[status(thm)],[f48]) ).
fof(f60,plain,
( ! [X] :
( ( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) )
| sP0_prd(X) )
& ! [X] :
( ( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ~ sP0_prd(X) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f65,definition,
( sQ0_spl
<=> cowlThing(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ0_spl
| ~ cowlThing(sK2_skl) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
( sQ1_spl
<=> cowlNothing(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ1_spl
| cowlNothing(sK3_skl) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ2_spl
<=> sP0_prd(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ2_spl
| sP0_prd(sK4_skl) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
( sQ3_spl
<=> cc(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ3_spl
| cc(sK5_skl) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f65,f68,f71,f74]) ).
fof(f78,definition,
! [X0,X1] :
( sQ4_spl
<=> ( X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0,X1] :
( ~ sQ4_spl
| X0 = X1
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ5_spl
<=> rp(sK5_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ5_spl
| rp(sK5_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ5_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f65,f68,f71,f78,f81]) ).
fof(f85,definition,
( sQ6_spl
<=> rp(sK5_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ6_spl
| rp(sK5_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ6_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f65,f68,f71,f78,f85]) ).
fof(f89,definition,
( sQ7_spl
<=> rp(sK5_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ7_spl
| rp(sK5_skl,sK8_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ7_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f65,f68,f71,f78,f89]) ).
fof(f93,definition,
( sQ8_spl
<=> sK6_skl = sK7_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ8_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f65,f68,f71,f78,f93]) ).
fof(f97,definition,
( sQ9_spl
<=> sK6_skl = sK8_skl ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ9_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f65,f68,f71,f78,f97]) ).
fof(f101,definition,
( sQ10_spl
<=> sK7_skl = sK8_skl ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f65,f68,f71,f78,f101]) ).
fof(f105,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f39]) ).
fof(f106,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f62,f39]) ).
fof(f107,plain,
( ~ sQ2_spl
| ~ xsd_integer(sK4_skl) ),
inference(resolution,[status(thm)],[f105,f72]) ).
fof(f108,plain,
( ~ sQ2_spl
| xsd_string(sK4_skl) ),
inference(resolution,[status(thm)],[f107,f40]) ).
fof(f110,plain,
( ~ sQ2_spl
| ~ xsd_string(sK4_skl) ),
inference(resolution,[status(thm)],[f106,f72]) ).
fof(f111,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f108]) ).
fof(f112,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f36]) ).
fof(f114,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f35]) ).
fof(f116,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( ~ sQ3_spl
| rp(sK5_skl,sK1_skl(sK5_skl)) ),
inference(resolution,[status(thm)],[f75,f45]) ).
fof(f118,plain,
( ~ sQ3_spl
| rp(sK5_skl,sK0_skl(sK5_skl)) ),
inference(resolution,[status(thm)],[f75,f44]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rp(sK5_skl,X2)
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f75,f43]) ).
fof(f120,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| X0 = sK1_skl(sK5_skl)
| ~ rp(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f117,f79]) ).
fof(f122,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sK0_skl(sK5_skl) = sK1_skl(sK5_skl) ),
inference(resolution,[status(thm)],[f120,f118]) ).
fof(f128,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ cc(sK5_skl) ),
inference(resolution,[status(thm)],[f122,f46]) ).
fof(f130,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f75]) ).
fof(f131,plain,
( ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f135,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ3_spl
| sK8_skl = X1
| X0 = X1
| X0 = sK8_skl
| ~ rp(sK5_skl,X1)
| ~ rp(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f119,f90]) ).
fof(f225,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sK8_skl = sK6_skl
| X0 = sK6_skl
| X0 = sK8_skl
| ~ rp(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f135,f82]) ).
fof(f233,definition,
! [X0] :
( sQ30_spl
<=> ( X0 = sK6_skl
| X0 = sK8_skl
| ~ rp(sK5_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f234,plain,
! [X0] :
( ~ sQ30_spl
| X0 = sK6_skl
| X0 = sK8_skl
| ~ rp(sK5_skl,X0) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sQ9_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f225,f233,f97,f74,f89,f81]) ).
fof(f370,plain,
( ~ sQ6_spl
| ~ sQ30_spl
| sK7_skl = sK6_skl
| sK7_skl = sK8_skl ),
inference(resolution,[status(thm)],[f234,f86]) ).
fof(f375,plain,
( ~ sQ6_spl
| ~ sQ30_spl
| sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f370,f101,f93,f233,f85]) ).
fof(f378,plain,
$false,
inference(sat_refutation,[status(thm)],[f77,f84,f88,f92,f96,f100,f104,f112,f114,f116,f131,f236,f375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 22:54:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.37 % Refutation found
% 0.07/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.047094 seconds
% 0.12/0.40 % CPU time: 0.137189 seconds
% 0.12/0.40 % Total memory used: 68.537 MB
% 0.12/0.40 % Net memory used: 68.328 MB
%------------------------------------------------------------------------------