%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO196+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 01:38:28 PM UTC 2025
% Result : Theorem 1.73s 0.57s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 21 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 49 ~; 42 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 38 ( 0 sgn 23 !; 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(18,plain,
( apart_point_and_line(intersection_point(sK3,sK4),sK1)
| apart_point_and_line(intersection_point(sK3,sK4),sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( apart_point_and_line(intersection_point(sK3,sK4),sK1)
| apart_point_and_line(intersection_point(sK3,sK4),sK2) ),
inference(instantiation,[status(thm)],[18]) ).
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(sK3,sK4),sK1)
| distinct_points(intersection_point(sK3,sK4),intersection_point(sK1,sK2))
| apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l115,plain,
( ~ apart_point_and_line(intersection_point(sK3,sK4),sK2)
| distinct_points(intersection_point(sK3,sK4),intersection_point(sK1,sK2))
| apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
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(l116,plain,
( ~ distinct_points(intersection_point(sK3,sK4),intersection_point(sK1,sK2))
| ~ distinct_lines(sK4,sK3)
| apart_point_and_line(intersection_point(sK3,sK4),sK4)
| apart_point_and_line(intersection_point(sK3,sK4),sK3)
| apart_point_and_line(intersection_point(sK1,sK2),sK4)
| apart_point_and_line(intersection_point(sK1,sK2),sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l2,plain,
( ~ distinct_points(intersection_point(sK3,sK4),intersection_point(sK1,sK2))
| ~ distinct_lines(sK4,sK3)
| apart_point_and_line(intersection_point(sK3,sK4),sK4)
| apart_point_and_line(intersection_point(sK3,sK4),sK3)
| apart_point_and_line(intersection_point(sK1,sK2),sK4)
| apart_point_and_line(intersection_point(sK1,sK2),sK3) ),
inference(instantiation,[status(thm)],[10]) ).
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(l4,plain,
( ~ convergent_lines(sK3,sK4)
| distinct_lines(sK4,sK3)
| convergent_lines(sK3,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
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(l12,plain,
~ convergent_lines(sK3,sK3),
inference(instantiation,[status(thm)],[2]) ).
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(l19,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK4) ),
inference(instantiation,[status(thm)],[9]) ).
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(l33,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(15,plain,
convergent_lines(sK3,sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l37,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l126,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l34,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l117,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK4) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(17,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK4),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l120,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK4),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l129,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l26,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(instantiation,[status(thm)],[16]) ).
cnf(l10,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l127,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(instantiation,[status(thm)],[16]) ).
cnf(l139,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l20,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK4),
inference(instantiation,[status(thm)],[17]) ).
cnf(l3,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l147,plain,
( ~ convergent_lines(sK3,sK4)
| distinct_lines(sK4,sK3)
| convergent_lines(sK3,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l149,plain,
~ convergent_lines(sK3,sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l54,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l153,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(l123,plain,
( ~ convergent_lines(sK3,sK4)
| ~ apart_point_and_line(intersection_point(sK3,sK4),sK3) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l124,plain,
convergent_lines(sK3,sK4),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l115,l116,l2,l4,l12,l19,l33,l37,l126,l34,l117,l120,l129,l26,l10,l127,l139,l20,l3,l147,l149,l54,l153,l123,l124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO196+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 11:40:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.20/0.37 % launching worker at depth: 11
% 1.73/0.57 % SZS status Theorem for theBenchmark
% 1.73/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------