%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO447+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 : n017.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 12:25:03 PM UTC 2026
% Result : Theorem 49.64s 8.32s
% Output : CNFRefutation 44.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 109 ( 34 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 104 ( 39 ~; 31 |; 26 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 54 ( 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
( p(s(bool,f0))
<=> ! [P0] : p(s(bool,P0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [T0] :
( ( s(bool,T0) = s(bool,f0)
<=> ~ p(s(bool,T0)) )
& ( s(bool,f0) = s(bool,T0)
<=> ~ p(s(bool,T0)) )
& ( s(bool,T0) = s(bool,t)
<=> p(s(bool,T0)) )
& ( s(bool,t) = s(bool,T0)
<=> p(s(bool,T0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ p(s(bool,f0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,axiom,
? [B0] : p(s(bool,B0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2760,axiom,
! [N,X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),Y))),s(cart(real,N),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3007,axiom,
! [Q110681,X,Y] : s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),X))),s(cart(real,Q110681),Y))) = s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),Y))),s(cart(real,Q110681),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3015,axiom,
! [Q111054,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),Y))))
& p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),X)))) )
=> p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),i(s(fun(cart(real,Q111054),cart(real,Q111054)),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),cart(real,Q111054))),vectoru_add),s(cart(real,Q111054),X))),s(cart(real,Q111054),Y)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3020,conjecture,
! [Q111057,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5)))) )
=> p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3021,negated_conjecture,
~ ! [Q111057,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5)))) )
=> p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ),
inference(negated_conjecture,[status(cth)],[f3020]) ).
fof(f3061,plain,
( ( ? [P0] : ~ p(s(bool,P0))
| p(s(bool,f0)) )
& ( ! [P0] : p(s(bool,P0))
| ~ p(s(bool,f0)) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f3062,plain,
( ( ~ p(s(bool,sK5_skl))
| p(s(bool,f0)) )
& ( ! [P0] : p(s(bool,P0))
| ~ p(s(bool,f0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P0,sK5_skl)],[f3061]) ).
fof(f3064,plain,
( ~ p(s(bool,sK5_skl))
| p(s(bool,f0)) ),
inference(cnf_transformation,[status(thm)],[f3062]) ).
fof(f3230,plain,
! [T0] :
( ( p(s(bool,T0))
| s(bool,T0) = s(bool,f0) )
& ( ~ p(s(bool,T0))
| s(bool,T0) != s(bool,f0) )
& ( p(s(bool,T0))
| s(bool,f0) = s(bool,T0) )
& ( ~ p(s(bool,T0))
| s(bool,f0) != s(bool,T0) )
& ( ~ p(s(bool,T0))
| s(bool,T0) = s(bool,t) )
& ( p(s(bool,T0))
| s(bool,T0) != s(bool,t) )
& ( ~ p(s(bool,T0))
| s(bool,t) = s(bool,T0) )
& ( p(s(bool,T0))
| s(bool,t) != s(bool,T0) ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f3231,plain,
( ! [T0] :
( p(s(bool,T0))
| s(bool,T0) = s(bool,f0) )
& ! [T0] :
( ~ p(s(bool,T0))
| s(bool,T0) != s(bool,f0) )
& ! [T0] :
( p(s(bool,T0))
| s(bool,f0) = s(bool,T0) )
& ! [T0] :
( ~ p(s(bool,T0))
| s(bool,f0) != s(bool,T0) )
& ! [T0] :
( ~ p(s(bool,T0))
| s(bool,T0) = s(bool,t) )
& ! [T0] :
( p(s(bool,T0))
| s(bool,T0) != s(bool,t) )
& ! [T0] :
( ~ p(s(bool,T0))
| s(bool,t) = s(bool,T0) )
& ! [T0] :
( p(s(bool,T0))
| s(bool,t) != s(bool,T0) ) ),
inference(miniscoping,[status(thm)],[f3230]) ).
fof(f3233,plain,
! [X0] :
( ~ p(s(bool,X0))
| s(bool,t) = s(bool,X0) ),
inference(cnf_transformation,[status(thm)],[f3231]) ).
fof(f3237,plain,
! [X0] :
( p(s(bool,X0))
| s(bool,f0) = s(bool,X0) ),
inference(cnf_transformation,[status(thm)],[f3231]) ).
fof(f3240,plain,
~ p(s(bool,f0)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f3792,plain,
p(s(bool,sK134_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134_skl]),skolemize(B0,sK134_skl)],[f136]) ).
fof(f3793,plain,
p(s(bool,sK134_skl)),
inference(cnf_transformation,[status(thm)],[f3792]) ).
fof(f12651,plain,
! [X0,X1,X2] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[status(thm)],[f2760]) ).
fof(f13402,plain,
! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[status(thm)],[f3007]) ).
fof(f13420,plain,
! [Q111054,A5,X,Y] :
( p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),i(s(fun(cart(real,Q111054),cart(real,Q111054)),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),cart(real,Q111054))),vectoru_add),s(cart(real,Q111054),X))),s(cart(real,Q111054),Y))))))
| ~ p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),Y))))
| ~ p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),X)))) ),
inference(pre_NNF_transformation,[status(thm)],[f3015]) ).
fof(f13421,plain,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2)))) ),
inference(cnf_transformation,[status(thm)],[f13420]) ).
fof(f13430,plain,
? [Q111057,A5,X,Y] :
( ~ p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5)))) ),
inference(pre_NNF_transformation,[status(thm)],[f3021]) ).
fof(f13431,plain,
( ~ p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))),s(cart(real,sK3164_skl),sK3165_skl))))
& p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3167_skl))),s(cart(real,sK3164_skl),sK3165_skl))))
& p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3165_skl)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3164_skl,sK3165_skl,sK3166_skl,sK3167_skl]),skolemize(Q111057,sK3164_skl),skolemize(A5,sK3165_skl),skolemize(X,sK3166_skl),skolemize(Y,sK3167_skl)],[f13430]) ).
fof(f13432,plain,
p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3165_skl)))),
inference(cnf_transformation,[status(thm)],[f13431]) ).
fof(f13433,plain,
p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3167_skl))),s(cart(real,sK3164_skl),sK3165_skl)))),
inference(cnf_transformation,[status(thm)],[f13431]) ).
fof(f13434,plain,
~ p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))),s(cart(real,sK3164_skl),sK3165_skl)))),
inference(cnf_transformation,[status(thm)],[f13431]) ).
fof(f16949,plain,
~ p(s(bool,sK5_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f3064,f3240]) ).
fof(f17890,plain,
s(bool,t) = s(bool,sK134_skl),
inference(resolution,[status(thm)],[f3233,f3793]) ).
fof(f17898,plain,
s(bool,t) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3165_skl))),
inference(resolution,[status(thm)],[f3233,f13432]) ).
fof(f18322,plain,
s(bool,f0) = s(bool,sK5_skl),
inference(resolution,[status(thm)],[f3237,f16949]) ).
fof(f18337,plain,
s(bool,f0) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))),s(cart(real,sK3164_skl),sK3165_skl))),
inference(resolution,[status(thm)],[f3237,f13434]) ).
fof(f19061,plain,
p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),sK3167_skl)))),
inference(backward_demodulation,[status(thm)],[f13402,f13433]) ).
fof(f19625,plain,
! [X0] :
( p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3167_skl))),s(cart(real,sK3164_skl),X0))))))
| ~ p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),X0)))) ),
inference(resolution,[status(thm)],[f19061,f13421]) ).
fof(f20343,plain,
s(bool,sK134_skl) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3165_skl))),
inference(forward_demodulation,[status(thm)],[f17890,f17898]) ).
fof(f20345,plain,
s(bool,sK134_skl) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),sK3166_skl))),
inference(forward_demodulation,[status(thm)],[f13402,f20343]) ).
fof(f23252,plain,
s(bool,sK5_skl) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))),s(cart(real,sK3164_skl),sK3165_skl))),
inference(forward_demodulation,[status(thm)],[f18322,f18337]) ).
fof(f23254,plain,
s(bool,sK5_skl) = s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))),
inference(forward_demodulation,[status(thm)],[f13402,f23252]) ).
fof(f27661,plain,
( p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3167_skl))),s(cart(real,sK3164_skl),sK3166_skl))))))
| ~ p(s(bool,sK134_skl)) ),
inference(paramodulation,[status(thm)],[f20345,f19625]) ).
fof(f27685,plain,
( p(s(bool,i(s(fun(cart(real,sK3164_skl),bool),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),bool)),orthogonal),s(cart(real,sK3164_skl),sK3165_skl))),s(cart(real,sK3164_skl),i(s(fun(cart(real,sK3164_skl),cart(real,sK3164_skl)),i(s(fun(cart(real,sK3164_skl),fun(cart(real,sK3164_skl),cart(real,sK3164_skl))),vectoru_add),s(cart(real,sK3164_skl),sK3166_skl))),s(cart(real,sK3164_skl),sK3167_skl))))))
| ~ p(s(bool,sK134_skl)) ),
inference(forward_demodulation,[status(thm)],[f12651,f27661]) ).
fof(f27686,plain,
( p(s(bool,sK5_skl))
| ~ p(s(bool,sK134_skl)) ),
inference(forward_demodulation,[status(thm)],[f23254,f27685]) ).
fof(f27687,plain,
p(s(bool,sK5_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f27686,f3793]) ).
fof(f27710,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f27687,f16949]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO447+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 16:16:27 UTC 2026
% 0.11/0.40 % CPUTime :
% 1.95/2.27 % Drodi V4.1.1
% 49.64/8.32 % Refutation found
% 49.64/8.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 49.64/8.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.30/8.64 % Elapsed time: 8.219581 seconds
% 16.30/8.64 % CPU time: 50.776715 seconds
% 16.30/8.64 % Total memory used: 1.922 GB
% 16.30/8.64 % Net memory used: 1.913 GB
%------------------------------------------------------------------------------