%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO263+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 : n024.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 01:38:49 PM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 14 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& convergent_lines(L,N)
& convergent_lines(M,N) )
=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& convergent_lines(L,N)
& convergent_lines(M,N) )
=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(67,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[67]) ).
fof(a7_defns,plain,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
file('Axioms/GEO009+0.ax',a7_defns) ).
cnf(14,plain,
( ~ convergent_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l1,plain,
( ~ convergent_lines(sK1,sK2)
| unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[14]) ).
fof(a1_defns,plain,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a1_defns) ).
cnf(0,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l2,plain,
( ~ unequally_directed_opposite_lines(sK1,sK2)
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(ax9_basics,plain,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO009+0.ax',ax9_basics) ).
cnf(44,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax9_basics]) ).
cnf(l58,plain,
( ~ unequally_directed_lines(sK1,sK2)
| ~ unequally_directed_lines(sK1,reverse_line(sK2))
| left_convergent_lines(sK1,sK2)
| left_convergent_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l59,plain,
( ~ convergent_lines(sK1,sK2)
| unequally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
fof(ax11_basics,plain,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax11_basics) ).
cnf(48,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l61,plain,
~ left_convergent_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[48]) ).
cnf(47,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l63,plain,
~ left_convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l58,l59,l61,l63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO263+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 11:52:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------