%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO188+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 01:38:25 PM UTC 2025
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 36 ~; 37 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& ~ apart_point_and_line(Z,line_connecting(X,Y)) )
=> ~ apart_point_and_line(X,line_connecting(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& ~ apart_point_and_line(Z,line_connecting(X,Y)) )
=> ~ apart_point_and_line(X,line_connecting(Z,Y)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(16,plain,
distinct_points(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
distinct_points(sK2,sK3),
inference(instantiation,[status(thm)],[16]) ).
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/GEO008+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(sK2,sK3)
| ~ distinct_lines(line_connecting(sK3,sK2),line_connecting(sK1,sK2))
| apart_point_and_line(sK2,line_connecting(sK3,sK2))
| apart_point_and_line(sK2,line_connecting(sK1,sK2))
| apart_point_and_line(sK3,line_connecting(sK3,sK2))
| apart_point_and_line(sK3,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(ceq2,plain,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('Axioms/GEO008+0.ax',ceq2) ).
cnf(12,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf,[status(esa)],[ceq2]) ).
cnf(l2,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK3,sK2))
| distinct_lines(line_connecting(sK3,sK2),line_connecting(sK1,sK2))
| apart_point_and_line(sK1,line_connecting(sK1,sK2)) ),
inference(instantiation,[status(thm)],[12]) ).
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(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(l68,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK2,line_connecting(sK1,sK2))
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[7]) ).
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(l56,plain,
( ~ distinct_points(sK3,sK2)
| ~ apart_point_and_line(sK3,line_connecting(sK3,sK2))
| distinct_points(sK3,sK3) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(18,plain,
apart_point_and_line(sK1,line_connecting(sK3,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l52,plain,
apart_point_and_line(sK1,line_connecting(sK3,sK2)),
inference(instantiation,[status(thm)],[18]) ).
fof(apart4,plain,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('Axioms/GEO008+0.ax',apart4) ).
cnf(3,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf,[status(esa)],[apart4]) ).
cnf(l93,plain,
( ~ distinct_points(sK2,sK3)
| distinct_points(sK2,sK2)
| distinct_points(sK3,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
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(l72,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l101,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ distinct_points(sK3,sK2)
| ~ apart_point_and_line(sK2,line_connecting(sK3,sK2))
| distinct_points(sK2,sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(17,plain,
~ apart_point_and_line(sK3,line_connecting(sK1,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l57,plain,
~ apart_point_and_line(sK3,line_connecting(sK1,sK2)),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
distinct_points(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l78,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l4,plain,
( ~ distinct_points(sK1,sK2)
| ~ apart_point_and_line(sK1,line_connecting(sK1,sK2))
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l103,plain,
( ~ distinct_points(sK2,sK3)
| distinct_points(sK2,sK2)
| distinct_points(sK3,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l37,plain,
distinct_points(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l5,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l105,plain,
~ distinct_points(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l58,plain,
~ distinct_points(sK3,sK3),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l68,l56,l52,l93,l72,l101,l3,l57,l78,l4,l103,l37,l5,l105,l58,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO188+2 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 11:39:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------