%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:25:08 PM UTC 2026
% Result : Theorem 0.09s 0.42s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,conjecture,
! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
~ ! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f276,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f277,plain,
? [Xa,Xp,Xr,Xq] :
( Xp != Xq
& s(Xa,Xq) = Xr
& s(Xa,Xp) = Xr ),
inference(pre_NNF_transformation,[status(thm)],[f101]) ).
fof(f278,plain,
? [Xp,Xq] :
( Xp != Xq
& ? [Xa,Xr] :
( s(Xa,Xq) = Xr
& s(Xa,Xp) = Xr ) ),
inference(miniscoping,[status(thm)],[f277]) ).
fof(f279,plain,
( sK0_skl != sK1_skl
& s(sK2_skl,sK1_skl) = sK3_skl
& s(sK2_skl,sK0_skl) = sK3_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Xp,sK0_skl),skolemize(Xq,sK1_skl),skolemize(Xa,sK2_skl),skolemize(Xr,sK3_skl)],[f278]) ).
fof(f280,plain,
s(sK2_skl,sK0_skl) = sK3_skl,
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
s(sK2_skl,sK1_skl) = sK3_skl,
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f282,plain,
sK0_skl != sK1_skl,
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f346,plain,
s(sK2_skl,sK3_skl) = sK1_skl,
inference(paramodulation,[status(thm)],[f281,f276]) ).
fof(f347,plain,
s(sK2_skl,sK3_skl) = sK0_skl,
inference(paramodulation,[status(thm)],[f280,f276]) ).
fof(f352,plain,
sK1_skl = sK0_skl,
inference(forward_demodulation,[status(thm)],[f346,f347]) ).
fof(f353,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f352,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 16:55:51 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.46 % Elapsed time: 0.067247 seconds
% 0.09/0.46 % CPU time: 0.167926 seconds
% 0.09/0.46 % Total memory used: 107.138 MB
% 0.09/0.46 % Net memory used: 106.950 MB
%------------------------------------------------------------------------------