%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO454+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:39:02 PM UTC 2025
% Result : Theorem 11.45s 2.47s
% Output : CNFRefutation 11.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 14 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aLIFTu_DROPu_conjunct1,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLIFTu_DROPu_conjunct1) ).
fof(aLIFTu_DROPu_conjunct1_negated,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(negate_conjecture,[status(cth)],[aLIFTu_DROPu_conjunct1]) ).
cnf(6955,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,sK4643))))) != s(real,sK4643),
inference(cnf,[status(esa)],[aLIFTu_DROPu_conjunct1_negated]) ).
cnf(l0,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,sK4643))))) != s(real,sK4643),
inference(instantiation,[status(thm)],[6955]) ).
fof(aEQu_TRANS,plain,
! [A,X,Y,Z0] :
( ( s(A,X) = s(A,Y)
& s(A,Y) = s(A,Z0) )
=> s(A,X) = s(A,Z0) ),
file('Axioms/GEO010+0.ax',aEQu_TRANS) ).
cnf(22,plain,
( s(X0,X1) != s(X0,X2)
| s(X0,X2) != s(X0,X3)
| s(X0,X1) = s(X0,X3) ),
inference(cnf,[status(esa)],[aEQu_TRANS]) ).
cnf(l1,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,sK4643))))) != 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,sK4643))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))
| 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,sK4643))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) != s(real,sK4643)
| s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,sK4643))))) = s(real,sK4643) ),
inference(instantiation,[status(thm)],[22]) ).
fof(adrop,plain,
! [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',adrop) ).
cnf(6952,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_0))))))),
inference(cnf,[status(esa)],[adrop]) ).
cnf(l2,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,sK4643))))) = 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,sK4643))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
inference(instantiation,[status(thm)],[6952]) ).
fof(aLIFTu_COMPONENT,plain,
! [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',aLIFTu_COMPONENT) ).
cnf(6953,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_0))))))) = s(real,X0),
inference(cnf,[status(esa)],[aLIFTu_COMPONENT]) ).
cnf(l4,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,sK4643))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,sK4643),
inference(instantiation,[status(thm)],[6953]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO454+1 : TPTP v9.0.0. Released v7.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 12:20:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.85/1.07 % launching worker at depth: 1
% 0.85/1.07 % launching worker at depth: 3
% 0.85/1.07 % launching worker at depth: 2
% 0.85/1.07 % launching worker at depth: 4
% 0.85/1.07 % launching worker at depth: 5
% 0.85/1.07 % launching worker at depth: 6
% 0.85/1.07 % launching worker at depth: 7
% 0.85/1.07 % launching worker at depth: 8
% 0.85/1.08 % launching worker at depth: 9
% 11.45/2.47 % SZS status Theorem for theBenchmark
% 11.45/2.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------