%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS179+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 : n004.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 12:59:52 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 22 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 47 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [S1,S2,S3] :
( ( isa(S2,S3)
& isa(S1,S2) )
=> isa(S1,S3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [S1,S2,S3] :
( ( isa(S2,S3)
& isa(S1,S2) )
=> isa(S1,S3) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f22,plain,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) )
<=> isa(S1,S2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f23,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)],[f22]) ).
fof(f24,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)],[f23]) ).
fof(f25,plain,
( ! [S1,S2] :
( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( isa(S1,S2)
| ( ~ status(sK2_skl(S2,S1),sK3_skl(S2,S1),S2)
& status(sK2_skl(S2,S1),sK3_skl(S2,S1),S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK2_skl(X0,X1),sK3_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( isa(X1,X0)
| ~ status(sK2_skl(X0,X1),sK3_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ isa(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f82,plain,
? [S1,S2,S3] :
( ~ isa(S1,S3)
& isa(S2,S3)
& isa(S1,S2) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f83,plain,
? [S1,S3] :
( ~ isa(S1,S3)
& ? [S2] :
( isa(S2,S3)
& isa(S1,S2) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f84,plain,
( ~ isa(sK29_skl,sK30_skl)
& isa(sK31_skl,sK30_skl)
& isa(sK29_skl,sK31_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl]),skolemize(S1,sK29_skl),skolemize(S3,sK30_skl),skolemize(S2,sK31_skl)],[f83]) ).
fof(f85,plain,
isa(sK29_skl,sK31_skl),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
isa(sK31_skl,sK30_skl),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f87,plain,
~ isa(sK29_skl,sK30_skl),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ isa(X2,X1)
| ~ status(sK2_skl(X1,X0),sK3_skl(X1,X0),X2)
| isa(X0,X1) ),
inference(resolution,[status(thm)],[f27,f28]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ isa(X3,X2)
| ~ status(sK2_skl(X1,X0),sK3_skl(X1,X0),X3)
| ~ isa(X2,X1)
| isa(X0,X1) ),
inference(resolution,[status(thm)],[f88,f28]) ).
fof(f91,plain,
status(sK2_skl(sK30_skl,sK29_skl),sK3_skl(sK30_skl,sK29_skl),sK29_skl),
inference(resolution,[status(thm)],[f26,f87]) ).
fof(f93,plain,
! [X0] :
( ~ isa(sK29_skl,X0)
| ~ isa(X0,sK30_skl)
| isa(sK29_skl,sK30_skl) ),
inference(resolution,[status(thm)],[f91,f89]) ).
fof(f95,plain,
! [X0] :
( ~ isa(sK29_skl,X0)
| ~ isa(X0,sK30_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f87]) ).
fof(f96,plain,
~ isa(sK31_skl,sK30_skl),
inference(resolution,[status(thm)],[f95,f85]) ).
fof(f98,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f96,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS179+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 22:55:19 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.043868 seconds
% 0.13/0.39 % CPU time: 0.126192 seconds
% 0.13/0.39 % Total memory used: 17.715 MB
% 0.13/0.39 % Net memory used: 17.206 MB
%------------------------------------------------------------------------------