%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO454+1 : TPTP v9.3.1. Released v7.0.0.
% 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 12:25:04 PM UTC 2026
% Result : Theorem 2.16s 2.78s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3206,axiom,
! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3207,axiom,
! [X] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3209,conjecture,
! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3210,negated_conjecture,
~ ! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,X),
inference(negated_conjecture,[status(cth)],[f3209]) ).
fof(f14113,plain,
! [X0] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
inference(cnf_transformation,[status(thm)],[f3206]) ).
fof(f14114,plain,
! [X0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X0),
inference(cnf_transformation,[status(thm)],[f3207]) ).
fof(f14116,plain,
? [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) != s(real,X),
inference(pre_NNF_transformation,[status(thm)],[f3210]) ).
fof(f14117,plain,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,sK3405_skl))))) != s(real,sK3405_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3405_skl]),skolemize(X,sK3405_skl)],[f14116]) ).
fof(f14118,plain,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,sK3405_skl))))) != s(real,sK3405_skl),
inference(cnf_transformation,[status(thm)],[f14117]) ).
fof(f17590,plain,
s(real,sK3405_skl) != s(real,sK3405_skl),
inference(backward_demodulation,[status(thm)],[f17591,f14118]) ).
fof(f17591,plain,
! [X0] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0))))) = s(real,X0),
inference(forward_demodulation,[status(thm)],[f14113,f14114]) ).
fof(f17600,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f17590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO454+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 16:22:22 UTC 2026
% 0.08/0.36 % CPUTime :
% 2.04/2.30 % Drodi V4.1.1
% 2.16/2.78 % Refutation found
% 2.16/2.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.16/2.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.16/2.87 % Elapsed time: 2.477523 seconds
% 2.16/2.87 % CPU time: 5.040316 seconds
% 2.16/2.87 % Total memory used: 1.434 GB
% 2.16/2.87 % Net memory used: 1.430 GB
%------------------------------------------------------------------------------