%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO242+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 : n023.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 01:38:43 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 3 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,L] :
( ( incident_point_and_line(A,L)
& distinct_points(A,B)
& right_convergent_lines(L,line_connecting(A,B)) )
=> right_apart_point(B,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,L] :
( ( incident_point_and_line(A,L)
& distinct_points(A,B)
& right_convergent_lines(L,line_connecting(A,B)) )
=> right_apart_point(B,L) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(68,plain,
right_convergent_lines(sK3,line_connecting(sK1,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
right_convergent_lines(sK3,line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[68]) ).
fof(a3_defns,plain,
! [X,Y] :
( right_convergent_lines(X,Y)
<=> left_convergent_lines(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a3_defns) ).
cnf(4,plain,
( ~ right_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[a3_defns]) ).
cnf(l1,plain,
( ~ right_convergent_lines(sK3,line_connecting(sK1,sK2))
| left_convergent_lines(sK3,reverse_line(line_connecting(sK1,sK2))) ),
inference(instantiation,[status(thm)],[4]) ).
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(47,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l3,plain,
~ left_convergent_lines(sK3,reverse_line(line_connecting(sK1,sK2))),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO242+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 11:49:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------