%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS189+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 12:59:53 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 7 unt; 2 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 157 ( 58 ~; 60 |; 29 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 80 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Ax,C] :
( ( ! [I3] :
( model(I3,Ax)
<=> model(I3,C) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
isa(eth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ isa(eth,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f62,plain,
! [Ax,C] :
( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
<=> status(Ax,C,thm) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f63,plain,
! [Ax,C] :
( ( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ( ~ model(sK9_skl(C,Ax),C)
& model(sK9_skl(C,Ax),Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( status(X1,X0,thm)
| model(sK9_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f93,plain,
! [Ax,C] :
( ( ~ status(Ax,C,eth)
| ( ! [I3] :
( ( ~ model(I3,C)
| model(I3,Ax) )
& ( model(I3,C)
| ~ model(I3,Ax) ) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f94,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ~ model(sK19_skl(C,Ax),Ax)
& model(sK18_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ( ( model(sK17_skl(C,Ax),C)
| model(sK17_skl(C,Ax),Ax) )
& ( ~ model(sK17_skl(C,Ax),C)
| ~ model(sK17_skl(C,Ax),Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(I3,sK17_skl(C,Ax)),skolemize(I1,sK18_skl(C,Ax)),skolemize(I2,sK19_skl(C,Ax))],[f94]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eth)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f180,plain,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) )
<=> isa(S1,S2) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f181,plain,
! [S1,S2] :
( ( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( ! [S1,S2] :
( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f181]) ).
fof(f183,plain,
( ! [S1,S2] :
( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( isa(S1,S2)
| ( ~ status(sK44_skl(S2,S1),sK45_skl(S2,S1),S2)
& status(sK44_skl(S2,S1),sK45_skl(S2,S1),S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
! [X0,X1] :
( isa(X1,X0)
| ~ status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f240,plain,
~ isa(eth,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f250,plain,
! [X0] :
( ~ model(sK9_skl(sK45_skl(thm,X0),sK44_skl(thm,X0)),sK45_skl(thm,X0))
| isa(X0,thm) ),
inference(resolution,[status(thm)],[f185,f67]) ).
fof(f253,plain,
~ model(sK9_skl(sK45_skl(thm,eth),sK44_skl(thm,eth)),sK45_skl(thm,eth)),
inference(resolution,[status(thm)],[f250,f240]) ).
fof(f256,plain,
! [X0] :
( ~ status(X0,sK45_skl(thm,eth),eth)
| ~ model(sK9_skl(sK45_skl(thm,eth),sK44_skl(thm,eth)),X0) ),
inference(resolution,[status(thm)],[f253,f100]) ).
fof(f259,plain,
( isa(eth,thm)
| ~ model(sK9_skl(sK45_skl(thm,eth),sK44_skl(thm,eth)),sK44_skl(thm,eth)) ),
inference(resolution,[status(thm)],[f256,f184]) ).
fof(f260,definition,
( sQ2_spl
<=> model(sK9_skl(sK45_skl(thm,eth),sK44_skl(thm,eth)),sK44_skl(thm,eth)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ2_spl
| ~ model(sK9_skl(sK45_skl(thm,eth),sK44_skl(thm,eth)),sK44_skl(thm,eth)) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ3_spl
<=> isa(eth,thm) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ3_spl
| isa(eth,thm) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f259,f260,f263]) ).
fof(f267,plain,
( sQ2_spl
| status(sK44_skl(thm,eth),sK45_skl(thm,eth),thm) ),
inference(resolution,[status(thm)],[f262,f66]) ).
fof(f271,plain,
( sQ2_spl
| isa(eth,thm) ),
inference(resolution,[status(thm)],[f267,f185]) ).
fof(f272,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f240]) ).
fof(f273,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f240]) ).
fof(f275,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f274]) ).
fof(f276,plain,
$false,
inference(sat_refutation,[status(thm)],[f266,f273,f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS189+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 22:55:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045500 seconds
% 0.13/0.41 % CPU time: 0.159159 seconds
% 0.13/0.41 % Total memory used: 10.613 MB
% 0.13/0.41 % Net memory used: 10.481 MB
%------------------------------------------------------------------------------