%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO251+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 : 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 01:38:46 PM UTC 2025
% Result : Theorem 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 3 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,L] :
( right_apart_point(B,parallel_through_point(L,A))
=> left_apart_point(A,parallel_through_point(L,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,L] :
( right_apart_point(B,parallel_through_point(L,A))
=> left_apart_point(A,parallel_through_point(L,B)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(66,plain,
right_apart_point(sK2,parallel_through_point(sK3,sK1)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
right_apart_point(sK2,parallel_through_point(sK3,sK1)),
inference(instantiation,[status(thm)],[66]) ).
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(l1,plain,
( ~ right_apart_point(sK2,parallel_through_point(sK3,sK1))
| left_apart_point(sK2,reverse_line(parallel_through_point(sK3,sK1))) ),
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(46,plain,
~ left_apart_point(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[ax10_basics]) ).
cnf(l2,plain,
~ left_apart_point(sK2,reverse_line(parallel_through_point(sK3,sK1))),
inference(instantiation,[status(thm)],[46]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23 % Problem : GEO251+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.24 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45 % Computer : n017.cluster.edu
% 0.13/0.45 % Model : x86_64 x86_64
% 0.13/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.45 % Memory : 8042.1875MB
% 0.13/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.45 % CPULimit : 300
% 0.13/0.45 % WCLimit : 300
% 0.13/0.45 % DateTime : Sun Jul 20 11:51:05 EDT 2025
% 0.13/0.45 % CPUTime :
% 0.13/0.45 % launching worker at depth: 1
% 0.13/0.45 % launching worker at depth: 2
% 0.13/0.45 % launching worker at depth: 3
% 0.13/0.45 % launching worker at depth: 4
% 0.13/0.45 % launching worker at depth: 5
% 0.13/0.45 % launching worker at depth: 6
% 0.13/0.45 % launching worker at depth: 7
% 0.13/0.45 % launching worker at depth: 8
% 0.13/0.45 % launching worker at depth: 9
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------