%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO466+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:39:04 PM UTC 2025
% Result : Theorem 154.81s 20.49s
% Output : CNFRefutation 154.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSPANu_SUB,plain,
! [Q122633,X,Y,S0] :
( ( p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),X))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0))))))
& p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),Y))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) )
=> p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),i(s(fun(cart(real,Q122633),cart(real,Q122633)),i(s(fun(cart(real,Q122633),fun(cart(real,Q122633),cart(real,Q122633))),vectoru_sub),s(cart(real,Q122633),X))),s(cart(real,Q122633),Y))))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_SUB) ).
fof(aSPANu_SUB_negated,plain,
~ ! [Q122633,X,Y,S0] :
( ( p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),X))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0))))))
& p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),Y))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) )
=> p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),i(s(fun(cart(real,Q122633),cart(real,Q122633)),i(s(fun(cart(real,Q122633),fun(cart(real,Q122633),cart(real,Q122633))),vectoru_sub),s(cart(real,Q122633),X))),s(cart(real,Q122633),Y))))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) ),
inference(negate_conjecture,[status(cth)],[aSPANu_SUB]) ).
cnf(7125,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4720))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(cnf,[status(esa)],[aSPANu_SUB_negated]) ).
cnf(l0,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4720))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(instantiation,[status(thm)],[7125]) ).
fof(aSUBSPACEu_SUB,plain,
! [Q121609,X,Y,S0] :
( ( p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),subspace),s(fun(cart(real,Q121609),bool),S0))))
& p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),X))),s(fun(cart(real,Q121609),bool),S0))))
& p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),Y))),s(fun(cart(real,Q121609),bool),S0)))) )
=> p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),i(s(fun(cart(real,Q121609),cart(real,Q121609)),i(s(fun(cart(real,Q121609),fun(cart(real,Q121609),cart(real,Q121609))),vectoru_sub),s(cart(real,Q121609),X))),s(cart(real,Q121609),Y))))),s(fun(cart(real,Q121609),bool),S0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSPACEu_SUB) ).
cnf(7079,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),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),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(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf,[status(esa)],[aSUBSPACEu_SUB]) ).
cnf(l1,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4720))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4721))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),subspace),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722))))))
| p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),i(s(fun(cart(real,sK4719),cart(real,sK4719)),i(s(fun(cart(real,sK4719),fun(cart(real,sK4719),cart(real,sK4719))),vectoru_sub),s(cart(real,sK4719),sK4720))),s(cart(real,sK4719),sK4721))))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))) ),
inference(instantiation,[status(thm)],[7079]) ).
cnf(7127,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),i(s(fun(cart(real,sK4719),cart(real,sK4719)),i(s(fun(cart(real,sK4719),fun(cart(real,sK4719),cart(real,sK4719))),vectoru_sub),s(cart(real,sK4719),sK4720))),s(cart(real,sK4719),sK4721))))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(cnf,[status(esa)],[aSPANu_SUB_negated]) ).
cnf(l3,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),i(s(fun(cart(real,sK4719),cart(real,sK4719)),i(s(fun(cart(real,sK4719),fun(cart(real,sK4719),cart(real,sK4719))),vectoru_sub),s(cart(real,sK4719),sK4720))),s(cart(real,sK4719),sK4721))))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(instantiation,[status(thm)],[7127]) ).
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/sandbox2/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,sK4719),bool),bool),subspace),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(instantiation,[status(thm)],[7099]) ).
cnf(7126,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4721))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(cnf,[status(esa)],[aSPANu_SUB_negated]) ).
cnf(l2,plain,
p(s(bool,i(s(fun(fun(cart(real,sK4719),bool),bool),i(s(fun(cart(real,sK4719),fun(fun(cart(real,sK4719),bool),bool)),in),s(cart(real,sK4719),sK4721))),s(fun(cart(real,sK4719),bool),i(s(fun(fun(cart(real,sK4719),bool),fun(cart(real,sK4719),bool)),span),s(fun(cart(real,sK4719),bool),sK4722)))))),
inference(instantiation,[status(thm)],[7126]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO466+1 : TPTP v9.0.0. Released v7.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 12:22:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.92/1.08 % launching worker at depth: 2
% 0.92/1.08 % launching worker at depth: 3
% 0.92/1.08 % launching worker at depth: 7
% 0.92/1.08 % launching worker at depth: 4
% 0.92/1.08 % launching worker at depth: 5
% 0.92/1.08 % launching worker at depth: 6
% 0.92/1.08 % launching worker at depth: 8
% 0.92/1.08 % launching worker at depth: 1
% 3.24/1.42 % launching worker at depth: 9
% 154.81/20.49 % SZS status Theorem for theBenchmark
% 154.81/20.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------