%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO464+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 01:39:03 PM UTC 2025
% Result : Theorem 11.18s 2.38s
% Output : CNFRefutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSPANu_CLAUSESu_conjunct3,plain,
! [Q122108,X,C0,S0] :
( p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),X))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0))))))
=> p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),i(s(fun(cart(real,Q122108),cart(real,Q122108)),i(s(fun(real,fun(cart(real,Q122108),cart(real,Q122108))),r_),s(real,C0))),s(cart(real,Q122108),X))))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_CLAUSESu_conjunct3) ).
fof(aSPANu_CLAUSESu_conjunct3_negated,plain,
~ ! [Q122108,X,C0,S0] :
( p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),X))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0))))))
=> p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),i(s(fun(cart(real,Q122108),cart(real,Q122108)),i(s(fun(real,fun(cart(real,Q122108),cart(real,Q122108))),r_),s(real,C0))),s(cart(real,Q122108),X))))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0)))))) ),
inference(negate_conjecture,[status(cth)],[aSPANu_CLAUSESu_conjunct3]) ).
cnf(7103,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),sK4716))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))),
inference(cnf,[status(esa)],[aSPANu_CLAUSESu_conjunct3_negated]) ).
cnf(l0,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),sK4716))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))),
inference(instantiation,[status(thm)],[7103]) ).
fof(asubspace,plain,
! [Q121390,S0] :
( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),subspace),s(fun(cart(real,Q121390),bool),S0))))
<=> ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(num,cart(real,Q121390)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q121390),bool),S0))))
& ! [X,Y] :
( ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),X))),s(fun(cart(real,Q121390),bool),S0))))
& p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),Y))),s(fun(cart(real,Q121390),bool),S0)))) )
=> p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(cart(real,Q121390),cart(real,Q121390)),i(s(fun(cart(real,Q121390),fun(cart(real,Q121390),cart(real,Q121390))),vectoru_add),s(cart(real,Q121390),X))),s(cart(real,Q121390),Y))))),s(fun(cart(real,Q121390),bool),S0)))) )
& ! [C0,X] :
( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),X))),s(fun(cart(real,Q121390),bool),S0))))
=> p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(cart(real,Q121390),cart(real,Q121390)),i(s(fun(real,fun(cart(real,Q121390),cart(real,Q121390))),r_),s(real,C0))),s(cart(real,Q121390),X))))),s(fun(cart(real,Q121390),bool),S0)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asubspace) ).
cnf(7061,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X3))),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf,[status(esa)],[asubspace]) ).
cnf(l1,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),sK4716))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),subspace),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718))))))
| p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),i(s(fun(cart(real,sK4715),cart(real,sK4715)),i(s(fun(real,fun(cart(real,sK4715),cart(real,sK4715))),r_),s(real,sK4717))),s(cart(real,sK4715),sK4716))))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))) ),
inference(instantiation,[status(thm)],[7061]) ).
cnf(7104,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),i(s(fun(cart(real,sK4715),cart(real,sK4715)),i(s(fun(real,fun(cart(real,sK4715),cart(real,sK4715))),r_),s(real,sK4717))),s(cart(real,sK4715),sK4716))))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))),
inference(cnf,[status(esa)],[aSPANu_CLAUSESu_conjunct3_negated]) ).
cnf(l3,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),i(s(fun(cart(real,sK4715),fun(fun(cart(real,sK4715),bool),bool)),in),s(cart(real,sK4715),i(s(fun(cart(real,sK4715),cart(real,sK4715)),i(s(fun(real,fun(cart(real,sK4715),cart(real,sK4715))),r_),s(real,sK4717))),s(cart(real,sK4715),sK4716))))),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))),
inference(instantiation,[status(thm)],[7104]) ).
fof(aSUBSPACEu_SPAN,plain,
! [Q122015,S0] : p(s(bool,i(s(fun(fun(cart(real,Q122015),bool),bool),subspace),s(fun(cart(real,Q122015),bool),i(s(fun(fun(cart(real,Q122015),bool),fun(cart(real,Q122015),bool)),span),s(fun(cart(real,Q122015),bool),S0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
cnf(7099,plain,
p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf,[status(esa)],[aSUBSPACEu_SPAN]) ).
cnf(l4,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4715),bool),bool),subspace),s(fun(cart(real,sK4715),bool),i(s(fun(fun(cart(real,sK4715),bool),fun(cart(real,sK4715),bool)),span),s(fun(cart(real,sK4715),bool),sK4718)))))),
inference(instantiation,[status(thm)],[7099]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO464+1 : TPTP v9.0.0. Released v7.0.0.
% 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Jul 20 12:21:19 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.93/1.08 % launching worker at depth: 1
% 0.93/1.08 % launching worker at depth: 3
% 0.93/1.08 % launching worker at depth: 2
% 0.93/1.08 % launching worker at depth: 4
% 0.93/1.08 % launching worker at depth: 6
% 0.93/1.08 % launching worker at depth: 7
% 0.93/1.08 % launching worker at depth: 5
% 0.93/1.08 % launching worker at depth: 8
% 3.16/1.41 % launching worker at depth: 9
% 11.18/2.38 % SZS status Theorem for theBenchmark
% 11.18/2.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------