%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO086+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 : n026.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 12:24:02 PM UTC 2026
% Result : Theorem 0.14s 10.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 10 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [C,C1] :
( ( C1 != C
& part_of(C1,C) )
=> open(C1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C,Cpp] :
( ( part_of(Cpp,C)
& open(C) )
=> open(Cpp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C,Cpp] :
( ( part_of(Cpp,C)
& open(C) )
=> open(Cpp) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f74,plain,
! [C,C1] :
( open(C1)
| C1 = C
| ~ part_of(C1,C) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f75,plain,
! [C1] :
( open(C1)
| ! [C] :
( C1 = C
| ~ part_of(C1,C) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( open(X0)
| X0 = X1
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f104,plain,
? [C,Cpp] :
( ~ open(Cpp)
& part_of(Cpp,C)
& open(C) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f105,plain,
? [Cpp] :
( ~ open(Cpp)
& ? [C] :
( part_of(Cpp,C)
& open(C) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
( ~ open(sK13_skl)
& part_of(sK13_skl,sK14_skl)
& open(sK14_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(Cpp,sK13_skl),skolemize(C,sK14_skl)],[f105]) ).
fof(f107,plain,
open(sK14_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
part_of(sK13_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f109,plain,
~ open(sK13_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f114,plain,
! [X0] :
( sK13_skl = X0
| ~ part_of(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f76,f109]) ).
fof(f115,plain,
sK13_skl = sK14_skl,
inference(resolution,[status(thm)],[f114,f108]) ).
fof(f117,plain,
open(sK13_skl),
inference(backward_demodulation,[status(thm)],[f115,f107]) ).
fof(f118,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f117,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n026.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Sun Sep 20 10:25:03 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.40 % Drodi V4.1.1
% 0.14/10.41 % Refutation found
% 0.14/10.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.45 % Elapsed time: 0.043060 seconds
% 0.14/10.45 % CPU time: 0.137470 seconds
% 0.14/10.45 % Total memory used: 81.381 MB
% 0.14/10.45 % Net memory used: 81.323 MB
%------------------------------------------------------------------------------