%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO208+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 : n029.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 01:38:33 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 15 |; 4 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( ( incident_point_and_line(X,Y)
& incident_point_and_line(X,Z)
& parallel_lines(Y,Z) )
=> equal_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,Z] :
( ( incident_point_and_line(X,Y)
& incident_point_and_line(X,Z)
& parallel_lines(Y,Z) )
=> equal_lines(Y,Z) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
incident_point_and_line(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
incident_point_and_line(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
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(l1,plain,
( ~ apart_point_and_line(sK1,sK2)
| ~ incident_point_and_line(sK1,sK2) ),
inference(instantiation,[status(thm)],[42]) ).
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(l2,plain,
( ~ distinct_lines(sK2,sK3)
| convergent_lines(sK2,sK3)
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,sK3) ),
inference(instantiation,[status(thm)],[17]) ).
fof(a3,plain,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('Axioms/GEO006+6.ax',a3) ).
cnf(40,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf,[status(esa)],[a3]) ).
cnf(l4,plain,
( ~ convergent_lines(sK2,sK3)
| ~ parallel_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(48,plain,
parallel_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l8,plain,
parallel_lines(sK2,sK3),
inference(instantiation,[status(thm)],[48]) ).
cnf(l13,plain,
( ~ apart_point_and_line(sK1,sK3)
| ~ incident_point_and_line(sK1,sK3) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(47,plain,
incident_point_and_line(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l14,plain,
incident_point_and_line(sK1,sK3),
inference(instantiation,[status(thm)],[47]) ).
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(l3,plain,
( distinct_lines(sK2,sK3)
| equal_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(49,plain,
~ equal_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l10,plain,
~ equal_lines(sK2,sK3),
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l8,l13,l14,l3,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO208+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n029.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 11:42:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 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: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------