%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO184+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 : n031.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 01:38:23 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 25 ~; 22 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& incident_point_and_line(X,U)
& incident_point_and_line(Y,U) )
=> equal_lines(U,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& incident_point_and_line(X,U)
& incident_point_and_line(Y,U) )
=> equal_lines(U,line_connecting(X,Y)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
distinct_points(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
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(l1,plain,
( ~ distinct_points(sK1,sK2)
| ~ distinct_lines(sK3,line_connecting(sK1,sK2))
| apart_point_and_line(sK1,sK3)
| apart_point_and_line(sK1,line_connecting(sK1,sK2))
| apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK2,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(ci2,plain,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('Axioms/GEO006+0.ax',ci2) ).
cnf(7,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf,[status(esa)],[ci2]) ).
cnf(l12,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK2,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(a4,plain,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('Axioms/GEO006+6.ax',a4) ).
cnf(42,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf,[status(esa)],[a4]) ).
cnf(l8,plain,
( ~ apart_point_and_line(sK2,sK3)
| ~ incident_point_and_line(sK2,sK3) ),
inference(instantiation,[status(thm)],[42]) ).
fof(ax2,plain,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('Axioms/GEO006+6.ax',ax2) ).
cnf(39,plain,
( distinct_lines(X0,X1)
| equal_lines(X0,X1) ),
inference(cnf,[status(esa)],[ax2]) ).
cnf(l2,plain,
( distinct_lines(sK3,line_connecting(sK1,sK2))
| equal_lines(sK3,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(49,plain,
incident_point_and_line(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l14,plain,
incident_point_and_line(sK2,sK3),
inference(instantiation,[status(thm)],[49]) ).
cnf(50,plain,
~ equal_lines(sK3,line_connecting(sK1,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l4,plain,
~ equal_lines(sK3,line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[50]) ).
fof(ci1,plain,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('Axioms/GEO006+0.ax',ci1) ).
cnf(6,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf,[status(esa)],[ci1]) ).
cnf(l9,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK1,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l11,plain,
( ~ apart_point_and_line(sK1,sK3)
| ~ incident_point_and_line(sK1,sK3) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(48,plain,
incident_point_and_line(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l15,plain,
incident_point_and_line(sK1,sK3),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l8,l2,l14,l4,l9,l11,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO184+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 11:39:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------