%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO201+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 01:38:30 PM UTC 2025
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 48 ~; 44 |; 3 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 3 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> equal_points(intersection_point(X,Y),intersection_point(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> equal_points(intersection_point(X,Y),intersection_point(Y,X)) ),
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(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(l1,plain,
( ~ convergent_lines(sK1,sK2)
| distinct_lines(sK2,sK1)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[13]) ).
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(sK2,sK1))
| ~ 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(sK2,sK1),sK2)
| apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
inference(instantiation,[status(thm)],[10]) ).
fof(cotno1,plain,
! [L,M,N] :
( ( ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M) )
& ( ~ convergent_lines(L,N)
| ~ unorthogonal_lines(L,N) ) )
=> ( ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ) ),
file('Axioms/GEO006+4.ax',cotno1) ).
cnf(28,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| sP1(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l7,plain,
( ~ convergent_lines(sK1,sK1)
| ~ unorthogonal_lines(sK1,sK1)
| sP1(orthogonal_through_point(sK1,X1_42),sK1)
| unorthogonal_lines(orthogonal_through_point(sK1,X1_42),sK1) ),
inference(instantiation,[status(thm)],[28]) ).
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]) ).
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(l44,plain,
( ~ convergent_lines(sK2,sK1)
| ~ apart_point_and_line(intersection_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[8]) ).
fof(couo1,plain,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('Axioms/GEO006+4.ax',couo1) ).
cnf(31,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l35,plain,
( ~ convergent_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[31]) ).
fof(ax1,plain,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
file('Axioms/GEO006+6.ax',ax1) ).
cnf(37,plain,
( distinct_points(X0,X1)
| equal_points(X0,X1) ),
inference(cnf,[status(esa)],[ax1]) ).
cnf(l6,plain,
( distinct_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1))
| equal_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[37]) ).
fof(ooc1,plain,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('Axioms/GEO006+3.ax',ooc1) ).
cnf(23,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ooc1]) ).
cnf(l10,plain,
~ unorthogonal_lines(orthogonal_through_point(sK1,X1_42),sK1),
inference(instantiation,[status(thm)],[23]) ).
cnf(29,plain,
( unorthogonal_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l12,plain,
( unorthogonal_lines(orthogonal_through_point(sK1,X1_42),sK1)
| ~ sP1(orthogonal_through_point(sK1,X1_42),sK1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l46,plain,
( ~ convergent_lines(sK2,sK1)
| ~ apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(47,plain,
~ equal_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l30,plain,
~ equal_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1)),
inference(instantiation,[status(thm)],[47]) ).
cnf(l36,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[8]) ).
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(l55,plain,
( ~ distinct_lines(sK2,sK1)
| convergent_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l42,plain,
~ unorthogonal_lines(orthogonal_through_point(sK1,X1_42),sK1),
inference(instantiation,[status(thm)],[23]) ).
cnf(l53,plain,
( ~ distinct_lines(sK2,sK1)
| convergent_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l9,l44,l35,l6,l10,l12,l46,l30,l36,l55,l42,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO201+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 11:42:04 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.20/0.37 % launching worker at depth: 11
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------