%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO191+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 : n024.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 01:38:26 PM UTC 2025
% Result : Theorem 4.13s 0.92s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 53 ( 21 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 50 |; 5 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 2 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(48,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK3)
| apart_point_and_line(intersection_point(sK1,sK2),sK4) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK3)
| apart_point_and_line(intersection_point(sK1,sK2),sK4) ),
inference(instantiation,[status(thm)],[48]) ).
fof(ceq2,plain,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('Axioms/GEO006+0.ax',ceq2) ).
cnf(12,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf,[status(esa)],[ceq2]) ).
cnf(l78,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK4)
| distinct_lines(sK4,parallel_through_point(sK4,intersection_point(sK1,sK2)))
| apart_point_and_line(intersection_point(sK1,sK2),parallel_through_point(sK4,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(cp2,plain,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('Axioms/GEO006+2.ax',cp2) ).
cnf(16,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf,[status(esa)],[cp2]) ).
cnf(l79,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),parallel_through_point(sK4,intersection_point(sK1,sK2))),
inference(instantiation,[status(thm)],[16]) ).
fof(p1,plain,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('Axioms/GEO006+1.ax',p1) ).
cnf(14,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l80,plain,
( ~ distinct_lines(sK4,parallel_through_point(sK4,intersection_point(sK1,sK2)))
| convergent_lines(sK4,parallel_through_point(sK4,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[14]) ).
fof(ceq1,plain,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('Axioms/GEO006+0.ax',ceq1) ).
cnf(11,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf,[status(esa)],[ceq1]) ).
cnf(l1,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK3,sK4))
| apart_point_and_line(intersection_point(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[11]) ).
fof(cu1,plain,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('Axioms/GEO006+0.ax',cu1) ).
cnf(10,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf,[status(esa)],[cu1]) ).
cnf(l3,plain,
( ~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK3,sK4))
| ~ distinct_lines(sK2,sK1)
| apart_point_and_line(intersection_point(sK1,sK2),sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK1)
| apart_point_and_line(intersection_point(sK3,sK4),sK2)
| apart_point_and_line(intersection_point(sK3,sK4),sK1) ),
inference(instantiation,[status(thm)],[10]) ).
fof(ax6,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO006+0.ax',ax6) ).
cnf(5,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf,[status(esa)],[ax6]) ).
cnf(l81,plain,
( ~ convergent_lines(sK4,parallel_through_point(sK4,intersection_point(sK1,sK2)))
| convergent_lines(sK4,sK4)
| convergent_lines(parallel_through_point(sK4,intersection_point(sK1,sK2)),sK4) ),
inference(instantiation,[status(thm)],[5]) ).
fof(cp1,plain,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('Axioms/GEO006+2.ax',cp1) ).
cnf(15,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[cp1]) ).
cnf(l83,plain,
~ convergent_lines(parallel_through_point(sK4,intersection_point(sK1,sK2)),sK4),
inference(instantiation,[status(thm)],[15]) ).
fof(ceq3,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('Axioms/GEO006+0.ax',ceq3) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf,[status(esa)],[ceq3]) ).
cnf(l17,plain,
( ~ convergent_lines(sK1,sK2)
| distinct_lines(sK2,sK1)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[13]) ).
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(l9,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l7,plain,
( ~ apart_point_and_line(intersection_point(sK3,sK4),sK3)
| distinct_lines(sK3,sK4)
| apart_point_and_line(intersection_point(sK3,sK4),sK4) ),
inference(instantiation,[status(thm)],[12]) ).
fof(apart3,plain,
! [X] : ~ convergent_lines(X,X),
file('Axioms/GEO006+0.ax',apart3) ).
cnf(2,plain,
~ convergent_lines(X0,X0),
inference(cnf,[status(esa)],[apart3]) ).
cnf(l82,plain,
~ convergent_lines(sK4,sK4),
inference(instantiation,[status(thm)],[2]) ).
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(l38,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(46,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l49,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
cnf(l13,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
cnf(50,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l39,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK2),
inference(instantiation,[status(thm)],[50]) ).
cnf(l25,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
cnf(49,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l60,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK1),
inference(instantiation,[status(thm)],[49]) ).
cnf(l29,plain,
( ~ distinct_lines(sK3,sK4)
| convergent_lines(sK3,sK4) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l50,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l12,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK4) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l26,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(47,plain,
convergent_lines(sK3,sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l31,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l78,l79,l80,l1,l3,l81,l83,l17,l9,l7,l82,l38,l49,l13,l39,l25,l60,l29,l50,l12,l26,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO191+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Jul 20 11:40:04 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.34 % launching worker at depth: 10
% 0.18/0.39 % launching worker at depth: 11
% 4.13/0.92 % SZS status Theorem for theBenchmark
% 4.13/0.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------