%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO253+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 01:38:46 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 6 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,L] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,L] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(58,plain,
apart_point_and_line(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
apart_point_and_line(sK1,sK3),
inference(instantiation,[status(thm)],[58]) ).
fof(apt_def,plain,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ),
file('Axioms/GEO007+0.ax',apt_def) ).
cnf(0,plain,
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[apt_def]) ).
cnf(l1,plain,
( ~ apart_point_and_line(sK1,sK3)
| left_apart_point(sK1,sK3)
| left_apart_point(sK1,reverse_line(sK3)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(oag10,plain,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('Axioms/GEO007+0.ax',oag10) ).
cnf(38,plain,
~ left_apart_point(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[oag10]) ).
cnf(l3,plain,
~ left_apart_point(sK1,reverse_line(sK3)),
inference(instantiation,[status(thm)],[38]) ).
cnf(37,plain,
~ left_apart_point(X0,X1),
inference(cnf,[status(esa)],[oag10]) ).
cnf(l2,plain,
~ left_apart_point(sK1,sK3),
inference(instantiation,[status(thm)],[37]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO253+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n029.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 11:51:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------