%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS191+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 107 ( 41 ~; 36 |; 23 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 75 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Ax,C] :
( ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wtc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
isa(wtc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ isa(wtc,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(f67,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f108,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f109,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ~ model(sK24_skl(C,Ax),Ax)
& model(sK23_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ~ model(sK22_skl(C,Ax),C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(I3,sK22_skl(C,Ax)),skolemize(I1,sK23_skl(C,Ax)),skolemize(I2,sK24_skl(C,Ax))],[f109]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,wtc)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
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(wtc,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f248,plain,
~ status(sK44_skl(thm,wtc),sK45_skl(thm,wtc),thm),
inference(resolution,[status(thm)],[f185,f240]) ).
fof(f250,plain,
~ model(sK9_skl(sK45_skl(thm,wtc),sK44_skl(thm,wtc)),sK45_skl(thm,wtc)),
inference(resolution,[status(thm)],[f248,f67]) ).
fof(f251,plain,
! [X0] : ~ status(X0,sK45_skl(thm,wtc),wtc),
inference(resolution,[status(thm)],[f250,f114]) ).
fof(f253,plain,
isa(wtc,thm),
inference(resolution,[status(thm)],[f251,f184]) ).
fof(f254,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f253,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS191+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:56:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.051890 seconds
% 0.14/0.41 % CPU time: 0.169609 seconds
% 0.14/0.41 % Total memory used: 16.898 MB
% 0.14/0.41 % Net memory used: 16.768 MB
%------------------------------------------------------------------------------