%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO195+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 : n020.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 7.70s 1.31s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 29 ~; 25 |; 4 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Y,X),Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Y,X),Z) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(49,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(instantiation,[status(thm)],[49]) ).
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(l1,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
| distinct_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| apart_point_and_line(intersection_point(sK1,sK2),parallel_through_point(sK3,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(cup1,plain,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO006+2.ax',cup1) ).
cnf(17,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf,[status(esa)],[cup1]) ).
cnf(l3,plain,
( ~ distinct_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| apart_point_and_line(intersection_point(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))),sK3)
| apart_point_and_line(intersection_point(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))),parallel_through_point(sK3,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[17]) ).
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(l17,plain,
( ~ convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| convergent_lines(sK3,sK3)
| convergent_lines(parallel_through_point(sK3,intersection_point(sK1,sK2)),sK3) ),
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(l32,plain,
~ convergent_lines(parallel_through_point(sK3,intersection_point(sK1,sK2)),sK3),
inference(instantiation,[status(thm)],[15]) ).
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(l18,plain,
~ convergent_lines(sK3,sK3),
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(l8,plain,
( ~ convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| ~ apart_point_and_line(intersection_point(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))),sK3) ),
inference(instantiation,[status(thm)],[8]) ).
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(l7,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),parallel_through_point(sK3,intersection_point(sK1,sK2))),
inference(instantiation,[status(thm)],[16]) ).
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(l46,plain,
( ~ convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| ~ apart_point_and_line(intersection_point(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))),parallel_through_point(sK3,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[9]) ).
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(l20,plain,
( ~ distinct_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l50,plain,
( ~ distinct_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2)))
| convergent_lines(sK3,parallel_through_point(sK3,intersection_point(sK1,sK2))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l17,l32,l18,l8,l7,l46,l20,l50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO195+3 : TPTP v9.0.0. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 11:40:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.21/0.35 % launching worker at depth: 1
% 0.21/0.35 % launching worker at depth: 2
% 0.21/0.35 % launching worker at depth: 6
% 0.21/0.35 % launching worker at depth: 8
% 0.21/0.35 % launching worker at depth: 3
% 0.21/0.35 % launching worker at depth: 4
% 0.21/0.35 % launching worker at depth: 5
% 0.21/0.35 % launching worker at depth: 7
% 0.21/0.35 % launching worker at depth: 9
% 0.21/0.36 % launching worker at depth: 10
% 0.21/0.45 % launching worker at depth: 11
% 7.70/1.31 % SZS status Theorem for theBenchmark
% 7.70/1.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------