%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO085+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:24:01 PM UTC 2026
% Result : Theorem 0.23s 15.72s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 60 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 28 ~; 20 |; 13 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 31 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [C] :
( open(C)
<=> ? [P] : end_point(P,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [C,P] :
( end_point(P,C)
=> ? [Q] :
( P != Q
& end_point(Q,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C] :
( open(C)
=> ? [P,Q] :
( end_point(Q,C)
& end_point(P,C)
& P != Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C] :
( open(C)
=> ? [P,Q] :
( end_point(Q,C)
& end_point(P,C)
& P != Q ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f69,plain,
! [C] :
( ( ! [P] : ~ end_point(P,C)
| open(C) )
& ( ? [P] : end_point(P,C)
| ~ open(C) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f70,plain,
( ! [C] :
( ! [P] : ~ end_point(P,C)
| open(C) )
& ! [C] :
( ? [P] : end_point(P,C)
| ~ open(C) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [C] :
( ! [P] : ~ end_point(P,C)
| open(C) )
& ! [C] :
( end_point(sK6_skl(C),C)
| ~ open(C) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(C))],[f70]) ).
fof(f72,plain,
! [X0] :
( end_point(sK6_skl(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f89,plain,
! [C,P] :
( ? [Q] :
( P != Q
& end_point(Q,C) )
| ~ end_point(P,C) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f90,plain,
! [C,P] :
( ( P != sK10_skl(P,C)
& end_point(sK10_skl(P,C),C) )
| ~ end_point(P,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Q,sK10_skl(P,C))],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( end_point(sK10_skl(X0,X1),X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( X0 != sK10_skl(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f104,plain,
? [C] :
( ! [P,Q] :
( ~ end_point(Q,C)
| ~ end_point(P,C)
| P = Q )
& open(C) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f105,plain,
? [C] :
( ! [Q] :
( ~ end_point(Q,C)
| ! [P] :
( ~ end_point(P,C)
| P = Q ) )
& open(C) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
( ! [Q] :
( ~ end_point(Q,sK13_skl)
| ! [P] :
( ~ end_point(P,sK13_skl)
| P = Q ) )
& open(sK13_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(C,sK13_skl)],[f105]) ).
fof(f107,plain,
open(sK13_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ end_point(X1,sK13_skl)
| ~ end_point(X0,sK13_skl)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f124,plain,
end_point(sK6_skl(sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f72,f107]) ).
fof(f126,plain,
! [X0] :
( ~ end_point(X0,sK13_skl)
| sK6_skl(sK13_skl) = X0 ),
inference(resolution,[status(thm)],[f124,f108]) ).
fof(f138,plain,
sK6_skl(sK13_skl) != sK10_skl(sK6_skl(sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f92,f124]) ).
fof(f143,plain,
end_point(sK10_skl(sK6_skl(sK13_skl),sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f91,f124]) ).
fof(f151,plain,
sK6_skl(sK13_skl) = sK10_skl(sK6_skl(sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f143,f126]) ).
fof(f161,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f151,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO085+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/15.67 % Computer : n008.cluster.edu
% 0.18/15.67 % Model : x86_64 x86_64
% 0.18/15.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/15.67 % Memory : 8046.5625MB
% 0.18/15.67 % OS : Linux 6.8.0-71-generic
% 0.18/15.68 % CPULimit : 300
% 0.18/15.68 % WCLimit : 300
% 0.18/15.68 % DateTime : Sun Sep 20 10:18:55 UTC 2026
% 0.18/15.68 % CPUTime :
% 0.18/15.70 % Drodi V4.1.1
% 0.23/15.72 % Refutation found
% 0.23/15.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/15.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/15.80 % Elapsed time: 0.109211 seconds
% 0.23/15.80 % CPU time: 0.131750 seconds
% 0.23/15.80 % Total memory used: 20.700 MB
% 0.23/15.80 % Net memory used: 20.661 MB
%------------------------------------------------------------------------------