%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO465+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 : n017.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 134.02s 17.92s
% Output : CNFRefutation 134.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSPANu_NEG,plain,
! [Q122563,X,S0] :
( p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),X))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0))))))
=> p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),i(s(fun(cart(real,Q122563),cart(real,Q122563)),vectoru_neg),s(cart(real,Q122563),X))))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_NEG) ).
fof(aSPANu_NEG_negated,plain,
~ ! [Q122563,X,S0] :
( p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),X))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0))))))
=> p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),i(s(fun(cart(real,Q122563),cart(real,Q122563)),vectoru_neg),s(cart(real,Q122563),X))))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0)))))) ),
inference(negate_conjecture,[status(cth)],[aSPANu_NEG]) ).
cnf(7123,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),sK4721)))))),
inference(cnf,[status(esa)],[aSPANu_NEG_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),sK4721)))))),
inference(instantiation,[status(thm)],[7123]) ).
fof(aSUBSPACEu_NEG,plain,
! [Q121570,X,S0] :
( ( p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),subspace),s(fun(cart(real,Q121570),bool),S0))))
& p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),i(s(fun(cart(real,Q121570),fun(fun(cart(real,Q121570),bool),bool)),in),s(cart(real,Q121570),X))),s(fun(cart(real,Q121570),bool),S0)))) )
=> p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),i(s(fun(cart(real,Q121570),fun(fun(cart(real,Q121570),bool),bool)),in),s(cart(real,Q121570),i(s(fun(cart(real,Q121570),cart(real,Q121570)),vectoru_neg),s(cart(real,Q121570),X))))),s(fun(cart(real,Q121570),bool),S0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSPACEu_NEG) ).
cnf(7078,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)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf,[status(esa)],[aSUBSPACEu_NEG]) ).
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),sK4721))))))
| ~ 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),sK4721))))))
| 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)),vectoru_neg),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),sK4721)))))) ),
inference(instantiation,[status(thm)],[7078]) ).
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(l3,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),sK4721)))))),
inference(instantiation,[status(thm)],[7099]) ).
cnf(7124,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)),vectoru_neg),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),sK4721)))))),
inference(cnf,[status(esa)],[aSPANu_NEG_negated]) ).
cnf(l4,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)),vectoru_neg),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),sK4721)))))),
inference(instantiation,[status(thm)],[7124]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO465+1 : TPTP v9.0.0. Released v7.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 12:22:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.86/1.07 % launching worker at depth: 1
% 0.86/1.07 % launching worker at depth: 2
% 0.86/1.07 % launching worker at depth: 4
% 0.86/1.07 % launching worker at depth: 3
% 0.86/1.07 % launching worker at depth: 5
% 0.86/1.07 % launching worker at depth: 6
% 0.86/1.07 % launching worker at depth: 7
% 0.86/1.07 % launching worker at depth: 8
% 2.61/1.33 % launching worker at depth: 9
% 134.02/17.92 % SZS status Theorem for theBenchmark
% 134.02/17.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------