%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO192+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 : n018.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 01:38:26 PM UTC 2025
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 31 ~; 31 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> ( distinct_lines(X,Z)
& distinct_lines(Y,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> ( distinct_lines(X,Z)
& distinct_lines(Y,Z) ) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(16,plain,
( ~ distinct_lines(sK1,sK3)
| ~ distinct_lines(sK2,sK3) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( ~ distinct_lines(sK1,sK3)
| ~ distinct_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[16]) ).
fof(apart5,plain,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('Axioms/GEO008+0.ax',apart5) ).
cnf(4,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf,[status(esa)],[apart5]) ).
cnf(l1,plain,
( ~ distinct_lines(sK3,sK1)
| distinct_lines(sK3,sK3)
| distinct_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[4]) ).
fof(apart2,plain,
! [X] : ~ distinct_lines(X,X),
file('Axioms/GEO008+0.ax',apart2) ).
cnf(1,plain,
~ distinct_lines(X0,X0),
inference(cnf,[status(esa)],[apart2]) ).
cnf(l2,plain,
~ distinct_lines(sK3,sK3),
inference(instantiation,[status(thm)],[1]) ).
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(l97,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK2)
| distinct_lines(sK2,sK3)
| apart_point_and_line(intersection_point(sK1,sK2),sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l80,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
| distinct_lines(sK3,sK1)
| apart_point_and_line(intersection_point(sK1,sK2),sK1) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l98,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
| distinct_lines(sK3,sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l99,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
| distinct_lines(sK3,sK2)
| apart_point_and_line(intersection_point(sK1,sK2),sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(15,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l100,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l106,plain,
( ~ distinct_lines(sK3,sK2)
| distinct_lines(sK3,sK3)
| distinct_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l81,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l119,plain,
( ~ distinct_lines(sK3,sK2)
| distinct_lines(sK3,sK3)
| distinct_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l128,plain,
~ distinct_lines(sK3,sK3),
inference(instantiation,[status(thm)],[1]) ).
fof(con2,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('Axioms/GEO008+0.ax',con2) ).
cnf(9,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf,[status(esa)],[con2]) ).
cnf(l104,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK2)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf,[status(esa)],[con2]) ).
cnf(l90,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(intersection_point(sK1,sK2),sK1)
| distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l110,plain,
~ distinct_lines(sK3,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(14,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l112,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
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(l118,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l125,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l114,plain,
~ distinct_points(intersection_point(sK1,sK2),intersection_point(sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l97,l80,l98,l99,l100,l106,l81,l119,l128,l104,l90,l110,l112,l118,l125,l114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO192+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 11:40:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------