%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS196+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 : n019.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 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 112 ( 42 ~; 37 |; 25 &)
% ( 6 <=>; 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 : 95 ( 78 !; 17 ?)
% 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(f16,axiom,
! [Ax,C] :
( ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wca) ),
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(wca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ isa(wca,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(f146,plain,
! [Ax,C] :
( ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,wca) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f147,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wca)
| ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wca)
| ( ? [I3] : ~ model(I3,C)
& ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f147]) ).
fof(f149,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wca)
| ( ~ model(sK36_skl(C,Ax),C)
& model(sK35_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wca)
| ! [I3] : model(I3,C)
| ! [I2] : ~ model(I2,C)
| model(sK34_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl,sK35_skl,sK36_skl]),skolemize(I1,sK34_skl(C,Ax)),skolemize(I2,sK35_skl(C,Ax)),skolemize(I3,sK36_skl(C,Ax))],[f148]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wca)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
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(wca,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f250,plain,
! [X0] :
( model(sK9_skl(sK45_skl(thm,X0),sK44_skl(thm,X0)),sK44_skl(thm,X0))
| isa(X0,thm) ),
inference(resolution,[status(thm)],[f185,f66]) ).
fof(f253,plain,
model(sK9_skl(sK45_skl(thm,wca),sK44_skl(thm,wca)),sK44_skl(thm,wca)),
inference(resolution,[status(thm)],[f250,f240]) ).
fof(f257,plain,
! [X0] : ~ status(sK44_skl(thm,wca),X0,wca),
inference(resolution,[status(thm)],[f253,f151]) ).
fof(f286,plain,
isa(wca,thm),
inference(resolution,[status(thm)],[f257,f184]) ).
fof(f287,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f286,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS196+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n019.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sun Sep 20 22:57:04 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.063509 seconds
% 0.19/0.50 % CPU time: 0.221824 seconds
% 0.19/0.50 % Total memory used: 11.925 MB
% 0.19/0.50 % Net memory used: 11.794 MB
%------------------------------------------------------------------------------