%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO191+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 2.61s 0.68s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 25 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 43 ~; 51 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 21 !; 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/sandbox2/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(16,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)],[16]) ).
fof(ceq1,plain,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('Axioms/GEO008+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(con2,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('Axioms/GEO008+0.ax',con2) ).
cnf(8,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf,[status(esa)],[con2]) ).
cnf(l3,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK3)
| distinct_points(intersection_point(sK3,sK4),intersection_point(sK3,sK4)) ),
inference(instantiation,[status(thm)],[8]) ).
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/GEO008+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(l2,plain,
( ~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK3,sK4))
| ~ distinct_lines(sK1,sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK1)
| apart_point_and_line(intersection_point(sK1,sK2),sK2)
| apart_point_and_line(intersection_point(sK3,sK4),sK1)
| apart_point_and_line(intersection_point(sK3,sK4),sK2) ),
inference(instantiation,[status(thm)],[10]) ).
fof(apart1,plain,
! [X] : ~ distinct_points(X,X),
file('Axioms/GEO008+0.ax',apart1) ).
cnf(0,plain,
~ distinct_points(X0,X0),
inference(cnf,[status(esa)],[apart1]) ).
cnf(l5,plain,
~ distinct_points(intersection_point(sK3,sK4),intersection_point(sK3,sK4)),
inference(instantiation,[status(thm)],[0]) ).
cnf(17,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l33,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK1),
inference(instantiation,[status(thm)],[17]) ).
cnf(15,plain,
convergent_lines(sK3,sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l82,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l35,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK2),
inference(instantiation,[status(thm)],[18]) ).
cnf(9,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf,[status(esa)],[con2]) ).
cnf(l32,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(ceq3,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('Axioms/GEO008+0.ax',ceq3) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf,[status(esa)],[ceq3]) ).
cnf(l6,plain,
( ~ convergent_lines(sK1,sK2)
| distinct_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l12,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l71,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK4)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK3,sK4))
| apart_point_and_line(intersection_point(sK3,sK4),sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(14,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l44,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l31,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l40,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l111,plain,
( ~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK3,sK4))
| ~ distinct_lines(sK1,sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK1)
| apart_point_and_line(intersection_point(sK1,sK2),sK2)
| apart_point_and_line(intersection_point(sK3,sK4),sK1)
| apart_point_and_line(intersection_point(sK3,sK4),sK2) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l17,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l112,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l115,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l72,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK4)
| distinct_points(intersection_point(sK3,sK4),intersection_point(sK3,sK4)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l80,plain,
~ distinct_points(intersection_point(sK3,sK4),intersection_point(sK3,sK4)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l138,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l114,plain,
( ~ convergent_lines(sK1,sK2)
| distinct_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l131,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l117,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l119,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK2),
inference(instantiation,[status(thm)],[18]) ).
cnf(l118,plain,
~ apart_point_and_line(intersection_point(sK3,sK4),sK1),
inference(instantiation,[status(thm)],[17]) ).
cnf(l135,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l140,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l137,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l5,l33,l82,l35,l32,l4,l6,l12,l71,l44,l31,l40,l111,l17,l112,l115,l72,l80,l138,l114,l131,l117,l119,l118,l135,l140,l137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO191+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 11:40:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.37 % launching worker at depth: 11
% 2.61/0.68 % SZS status Theorem for theBenchmark
% 2.61/0.68 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------