%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS200+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 : n010.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 12:59:54 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 13 unt; 2 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 48 ~; 42 |; 19 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 85 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
=> ~ ? [I2] : model(I2,C) )
<=> status(Ax,C,unp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
! [Ax,C] :
( ( ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
<=> status(Ax,C,unp) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
! [Ax,C] :
( ( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| model(sK1_skl(C,Ax),Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( model(sK0_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(I2,sK0_skl(C,Ax)),skolemize(I1,sK1_skl(C,Ax))],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( status(X1,X2,unp)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
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(f68,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,thm)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f187,plain,
! [S1,S2] :
( ( ~ nota(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f188,plain,
( ! [S1,S2] :
( ~ nota(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ! [S1,S2] :
( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f187]) ).
fof(f189,plain,
( ! [S1,S2] :
( ~ nota(S1,S2)
| ( ~ status(sK46_skl(S2,S1),sK47_skl(S2,S1),S2)
& status(sK46_skl(S2,S1),sK47_skl(S2,S1),S1) ) )
& ! [S1,S2] :
( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( nota(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f215,plain,
! [I] : model(I,sK52_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27]) ).
fof(f216,plain,
! [X0] : model(X0,sK52_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f220,plain,
! [I] : ~ model(I,sK56_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29]) ).
fof(f221,plain,
! [X0] : ~ model(X0,sK56_skl),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f240,plain,
~ nota(unp,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f248,plain,
! [X0,X1] :
( ~ status(sK52_skl,X1,thm)
| model(X0,X1) ),
inference(resolution,[status(thm)],[f216,f68]) ).
fof(f249,plain,
! [X0] : status(sK52_skl,X0,unp),
inference(resolution,[status(thm)],[f216,f39]) ).
fof(f250,plain,
! [X0,X1] :
( nota(unp,X1)
| status(sK52_skl,X0,X1) ),
inference(resolution,[status(thm)],[f249,f190]) ).
fof(f251,plain,
! [X0,X1] :
( model(X0,X1)
| nota(unp,thm) ),
inference(resolution,[status(thm)],[f250,f248]) ).
fof(f253,definition,
( sQ2_spl
<=> nota(unp,thm) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ2_spl
| nota(unp,thm) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
! [X0,X1] :
( sQ3_spl
<=> model(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sQ3_spl
| model(X0,X1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f251,f253,f256]) ).
fof(f260,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f240]) ).
fof(f261,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f275,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f257]) ).
fof(f276,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f277,plain,
$false,
inference(sat_refutation,[status(thm)],[f259,f261,f276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS200+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:56:54 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.049711 seconds
% 0.12/0.41 % CPU time: 0.126656 seconds
% 0.12/0.41 % Total memory used: 21.006 MB
% 0.12/0.41 % Net memory used: 20.882 MB
%------------------------------------------------------------------------------