%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO237+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 : n027.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 01:38:42 PM UTC 2025
% Result : Theorem 0.12s 0.56s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 10 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,C,L] :
( apart_point_and_line(C,L)
=> ( divides_points(L,A,B)
=> ( divides_points(L,A,C)
| divides_points(L,B,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,C,L] :
( apart_point_and_line(C,L)
=> ( divides_points(L,A,B)
=> ( divides_points(L,A,C)
| divides_points(L,B,C) ) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(66,plain,
apart_point_and_line(sK3,sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
apart_point_and_line(sK3,sK4),
inference(instantiation,[status(thm)],[66]) ).
fof(a6_defns,plain,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
file('Axioms/GEO009+0.ax',a6_defns) ).
cnf(10,plain,
( ~ apart_point_and_line(X0,X1)
| right_apart_point(X0,X1)
| left_apart_point(X0,X1) ),
inference(cnf,[status(esa)],[a6_defns]) ).
cnf(l1,plain,
( ~ apart_point_and_line(sK3,sK4)
| right_apart_point(sK3,sK4)
| left_apart_point(sK3,sK4) ),
inference(instantiation,[status(thm)],[10]) ).
fof(a2_defns,plain,
! [X,Y] :
( right_apart_point(X,Y)
<=> left_apart_point(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a2_defns) ).
cnf(2,plain,
( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[a2_defns]) ).
cnf(l2,plain,
( ~ right_apart_point(sK3,sK4)
| left_apart_point(sK3,reverse_line(sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(ax10_basics,plain,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('Axioms/GEO009+0.ax',ax10_basics) ).
cnf(45,plain,
~ left_apart_point(X0,X1),
inference(cnf,[status(esa)],[ax10_basics]) ).
cnf(l3,plain,
~ left_apart_point(sK3,sK4),
inference(instantiation,[status(thm)],[45]) ).
cnf(l4,plain,
~ left_apart_point(sK3,reverse_line(sK4)),
inference(instantiation,[status(thm)],[45]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.33 % Problem : GEO237+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.34 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.55 % Computer : n027.cluster.edu
% 0.12/0.55 % Model : x86_64 x86_64
% 0.12/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.55 % Memory : 8042.1875MB
% 0.12/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.55 % CPULimit : 300
% 0.12/0.55 % WCLimit : 300
% 0.12/0.55 % DateTime : Sun Jul 20 11:48:20 EDT 2025
% 0.12/0.55 % CPUTime :
% 0.12/0.56 % launching worker at depth: 2
% 0.12/0.56 % launching worker at depth: 4
% 0.12/0.56 % launching worker at depth: 3
% 0.12/0.56 % launching worker at depth: 1
% 0.12/0.56 % launching worker at depth: 5
% 0.12/0.56 % launching worker at depth: 6
% 0.12/0.56 % launching worker at depth: 7
% 0.12/0.56 % launching worker at depth: 8
% 0.12/0.56 % launching worker at depth: 9
% 0.12/0.56 % launching worker at depth: 10
% 0.12/0.56 % SZS status Theorem for theBenchmark
% 0.12/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------