%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO225+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 01:38:39 PM UTC 2025
% Result : Theorem 0.13s 0.29s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 10 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( ~ apart_point_and_line(A,X)
& ~ apart_point_and_line(B,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( ~ apart_point_and_line(A,X)
& ~ apart_point_and_line(B,X) ) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(22,plain,
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK2))
| apart_point_and_line(sK2,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(con1,plain,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('Axioms/GEO008+0.ax',con1) ).
cnf(6,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf,[status(esa)],[con1]) ).
cnf(l1,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK1,line_connecting(sK1,sK2))
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[6]) ).
fof(apart1,plain,
! [X] : ~ distinct_points(X,X),
file('Axioms/GEO008+0.ax',apart1) ).
cnf(0,plain,
~ distinct_points(X0,X0),
inference(cnf,[status(esa)],[apart1]) ).
cnf(l5,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1) ),
inference(cnf,[status(esa)],[con1]) ).
cnf(l8,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK2,line_connecting(sK1,sK2))
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(20,plain,
distinct_points(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l9,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[20]) ).
cnf(l2,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l8,l10,l9,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO225+2 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 11:46:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.13/0.29 % SZS status Theorem for theBenchmark
% 0.13/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------