%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS192+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 : 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 12:59:54 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 8 unt; 2 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 167 ( 62 ~; 56 |; 38 &)
% ( 8 <=>; 3 =>; 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 : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 83 !; 20 ?)
% 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(f12,axiom,
! [Ax,C] :
( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wth) ),
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(wth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ isa(wth,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(f115,plain,
! [Ax,C] :
( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wth) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f116,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wth)
| ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wth)
| ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wth)
| ( ~ model(sK28_skl(C,Ax),C)
& ~ model(sK27_skl(C,Ax),Ax)
& model(sK27_skl(C,Ax),C)
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK26_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ( ~ model(sK25_skl(C,Ax),C)
& model(sK25_skl(C,Ax),Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(I2,sK25_skl(C,Ax)),skolemize(I1,sK26_skl(C,Ax)),skolemize(I3,sK27_skl(C,Ax)),skolemize(I4,sK28_skl(C,Ax))],[f117]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wth)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
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(wth,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f250,plain,
~ status(sK44_skl(thm,wth),sK45_skl(thm,wth),thm),
inference(resolution,[status(thm)],[f185,f240]) ).
fof(f252,plain,
~ model(sK9_skl(sK45_skl(thm,wth),sK44_skl(thm,wth)),sK45_skl(thm,wth)),
inference(resolution,[status(thm)],[f250,f67]) ).
fof(f256,plain,
! [X0] :
( ~ status(X0,sK45_skl(thm,wth),wth)
| ~ model(sK9_skl(sK45_skl(thm,wth),sK44_skl(thm,wth)),X0) ),
inference(resolution,[status(thm)],[f252,f122]) ).
fof(f258,plain,
( isa(wth,thm)
| ~ model(sK9_skl(sK45_skl(thm,wth),sK44_skl(thm,wth)),sK44_skl(thm,wth)) ),
inference(resolution,[status(thm)],[f256,f184]) ).
fof(f259,definition,
( sQ2_spl
<=> model(sK9_skl(sK45_skl(thm,wth),sK44_skl(thm,wth)),sK44_skl(thm,wth)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ2_spl
| ~ model(sK9_skl(sK45_skl(thm,wth),sK44_skl(thm,wth)),sK44_skl(thm,wth)) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ3_spl
<=> isa(wth,thm) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ3_spl
| isa(wth,thm) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f258,f259,f262]) ).
fof(f266,plain,
( sQ2_spl
| status(sK44_skl(thm,wth),sK45_skl(thm,wth),thm) ),
inference(resolution,[status(thm)],[f261,f66]) ).
fof(f269,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f250]) ).
fof(f270,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f240]) ).
fof(f272,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f271]) ).
fof(f273,plain,
$false,
inference(sat_refutation,[status(thm)],[f265,f270,f272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS192+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:55:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.057097 seconds
% 0.10/0.43 % CPU time: 0.195454 seconds
% 0.10/0.43 % Total memory used: 21.605 MB
% 0.10/0.43 % Net memory used: 21.430 MB
%------------------------------------------------------------------------------