%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO224+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 01:38:39 PM UTC 2025
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 21 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 1 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y] :
( ( point(X)
& line(Y) )
=> ? [Z] :
( point(Z)
& incident_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y] :
( ( point(X)
& line(Y) )
=> ? [Z] :
( point(Z)
& incident_point_and_line(Z,Y) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(48,plain,
( ~ point(X0)
| ~ incident_point_and_line(X0,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( ~ point(intersection_point(orthogonal_through_point(sK2,sK1),sK2))
| ~ incident_point_and_line(intersection_point(orthogonal_through_point(sK2,sK1),sK2),sK2) ),
inference(instantiation,[status(thm)],[48]) ).
fof(int1,plain,
! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> point(intersection_point(L,M)) ),
file('Axioms/GEO006+5.ax',int1) ).
cnf(33,plain,
( ~ convergent_lines(X0,X1)
| ~ line(X0)
| ~ line(X1)
| point(intersection_point(X0,X1)) ),
inference(cnf,[status(esa)],[int1]) ).
cnf(l1,plain,
( ~ convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| ~ line(orthogonal_through_point(sK2,sK1))
| ~ line(sK2)
| point(intersection_point(orthogonal_through_point(sK2,sK1),sK2)) ),
inference(instantiation,[status(thm)],[33]) ).
fof(a4,plain,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('Axioms/GEO006+6.ax',a4) ).
cnf(43,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf,[status(esa)],[a4]) ).
cnf(l66,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(sK2,sK1),sK2),sK2)
| incident_point_and_line(intersection_point(orthogonal_through_point(sK2,sK1),sK2),sK2) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(47,plain,
line(sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l40,plain,
line(sK2),
inference(instantiation,[status(thm)],[47]) ).
fof(orth1,plain,
! [L,A] :
( ( line(L)
& point(A) )
=> line(orthogonal_through_point(L,A)) ),
file('Axioms/GEO006+5.ax',orth1) ).
cnf(35,plain,
( ~ point(X0)
| ~ line(X1)
| line(orthogonal_through_point(X1,X0)) ),
inference(cnf,[status(esa)],[orth1]) ).
cnf(l3,plain,
( ~ point(sK1)
| ~ line(sK2)
| line(orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(occu1,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('Axioms/GEO006+3.ax',occu1) ).
cnf(18,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[occu1]) ).
cnf(l2,plain,
( convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(46,plain,
point(sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l9,plain,
point(sK1),
inference(instantiation,[status(thm)],[46]) ).
fof(ci4,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('Axioms/GEO006+0.ax',ci4) ).
cnf(9,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf,[status(esa)],[ci4]) ).
cnf(l67,plain,
( ~ convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| ~ apart_point_and_line(intersection_point(orthogonal_through_point(sK2,sK1),sK2),sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l8,plain,
line(sK2),
inference(instantiation,[status(thm)],[47]) ).
fof(ooc1,plain,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('Axioms/GEO006+3.ax',ooc1) ).
cnf(23,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ooc1]) ).
cnf(l11,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
fof(coipo1,plain,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('Axioms/GEO006+4.ax',coipo1) ).
cnf(26,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[coipo1]) ).
cnf(l68,plain,
( convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l69,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l66,l40,l3,l2,l9,l67,l8,l11,l68,l69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO224+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 11:45:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.35 % launching worker at depth: 11
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------