%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO226+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 9 |; 6 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> ? [X] :
( point(X)
=> ( incident_point_and_line(X,L)
& incident_point_and_line(X,M) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> ? [X] :
( point(X)
=> ( incident_point_and_line(X,L)
& incident_point_and_line(X,M) ) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(50,plain,
( ~ incident_point_and_line(X0,sK1)
| ~ incident_point_and_line(X0,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( ~ incident_point_and_line(intersection_point(sK1,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[50]) ).
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(l21,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK2)
| incident_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l1,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK1)
| incident_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[43]) ).
fof(ci3,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('Axioms/GEO006+0.ax',ci3) ).
cnf(8,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf,[status(esa)],[ci3]) ).
cnf(l2,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[8]) ).
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(l22,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(48,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l4,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[48]) ).
cnf(l24,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l21,l1,l2,l22,l4,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : GEO226+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Sun Jul 20 11:46:19 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.06/0.28 % SZS status Theorem for theBenchmark
% 0.06/0.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------