%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO454+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 : Sun Sep 27 07:15:14 AM UTC 2026
% Result : Theorem 21.45s 28.99s
% Output : CNFRefutation 21.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(adrop,axiom,
! [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$u0'))))))) ).
fof(aLIFTu_COMPONENT,axiom,
! [X0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,'u$u0'))))))) = s(real,X0) ).
fof(aLIFTu_DROPu_conjunct1,conjecture,
! [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) ).
fof(negated_conjecture,negated_conjecture,
~ ! [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(negate_conjecture,[status(cth)],[aLIFTu_DROPu_conjunct1]) ).
cnf(c826,plain,
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$u0'))))))),
inference(clausification,[status(esa)],[adrop]) ).
cnf(c827,plain,
s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,'u$u0'))))))) = s(real,X0),
inference(clausification,[status(esa)],[aLIFTu_COMPONENT]) ).
cnf(c8783,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,sK15124))))) != s(real,sK15124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,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,X0))))) = s(real,X0),
inference(demodulation,[status(thm)],[c827,c826]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c8783]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO454+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.58 % Computer : n010.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Fri Sep 25 13:28:02 UTC 2026
% 0.10/10.59 % CPUTime :
% 0.10/10.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.45/28.99 % SZS status Theorem for theBenchmark.p
% 21.45/28.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------