%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO198+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 : n028.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 01:38:29 PM UTC 2025
% Result : Theorem 2.92s 0.70s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 36 ~; 32 |; 6 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 2 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& incident_point_and_line(intersection_point(X,Y),Z) )
=> incident_point_and_line(intersection_point(X,Z),Y) ),
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)
& incident_point_and_line(intersection_point(X,Y),Z) )
=> incident_point_and_line(intersection_point(X,Z),Y) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
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(l1,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[9]) ).
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(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| convergent_lines(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| apart_point_and_line(intersection_point(sK1,sK2),sK2)
| apart_point_and_line(intersection_point(sK1,sK2),parallel_through_point(sK2,intersection_point(sK1,sK3))) ),
inference(instantiation,[status(thm)],[17]) ).
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),parallel_through_point(sK2,intersection_point(sK1,sK3)))
| distinct_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[12]) ).
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(l19,plain,
( ~ convergent_lines(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| distinct_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2)
| convergent_lines(sK2,sK2) ),
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(l38,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK3),sK2)
| distinct_lines(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| apart_point_and_line(intersection_point(sK1,sK3),parallel_through_point(sK2,intersection_point(sK1,sK3))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(a4,plain,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('Axioms/GEO006+6.ax',a4) ).
cnf(43,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf,[status(esa)],[a4]) ).
cnf(l91,plain,
( apart_point_and_line(intersection_point(sK1,sK3),sK2)
| incident_point_and_line(intersection_point(sK1,sK3),sK2) ),
inference(instantiation,[status(thm)],[43]) ).
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(l97,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),parallel_through_point(sK2,intersection_point(sK1,sK3))),
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(l81,plain,
( ~ distinct_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2)
| convergent_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2) ),
inference(instantiation,[status(thm)],[14]) ).
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(l82,plain,
~ convergent_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(50,plain,
~ incident_point_and_line(intersection_point(sK1,sK3),sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l104,plain,
~ incident_point_and_line(intersection_point(sK1,sK3),sK2),
inference(instantiation,[status(thm)],[50]) ).
cnf(l29,plain,
( ~ distinct_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2)
| convergent_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2)
| apart_point_and_line(intersection_point(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3))),parallel_through_point(sK2,intersection_point(sK1,sK3)))
| apart_point_and_line(intersection_point(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3))),sK2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l53,plain,
( ~ convergent_lines(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| ~ apart_point_and_line(intersection_point(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3))),parallel_through_point(sK2,intersection_point(sK1,sK3))) ),
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(l75,plain,
( ~ convergent_lines(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3)))
| ~ apart_point_and_line(intersection_point(sK2,parallel_through_point(sK2,intersection_point(sK1,sK3))),sK2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l52,plain,
~ convergent_lines(parallel_through_point(sK2,intersection_point(sK1,sK3)),sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l78,l19,l38,l6,l91,l97,l81,l82,l104,l29,l53,l75,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO198+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.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 11:41:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 2.92/0.70 % SZS status Theorem for theBenchmark
% 2.92/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------