%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO221+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:38:38 PM UTC 2025
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 15 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,B,L] :
( incident_point_and_line(B,orthogonal_through_point(L,A))
=> equal_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,B,L] :
( incident_point_and_line(B,orthogonal_through_point(L,A))
=> equal_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
incident_point_and_line(sK2,orthogonal_through_point(sK3,sK1)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
incident_point_and_line(sK2,orthogonal_through_point(sK3,sK1)),
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(sK2,orthogonal_through_point(sK3,sK1))
| ~ incident_point_and_line(sK2,orthogonal_through_point(sK3,sK1)) ),
inference(instantiation,[status(thm)],[42]) ).
fof(ouo1,plain,
! [A,L,M,N] :
( distinct_lines(L,M)
=> ( apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('Axioms/GEO006+3.ax',ouo1) ).
cnf(25,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf,[status(esa)],[ouo1]) ).
cnf(l2,plain,
( ~ distinct_lines(orthogonal_through_point(sK3,sK1),orthogonal_through_point(sK3,sK2))
| apart_point_and_line(sK2,orthogonal_through_point(sK3,sK1))
| apart_point_and_line(sK2,orthogonal_through_point(sK3,sK2))
| unorthogonal_lines(orthogonal_through_point(sK3,sK1),sK3)
| unorthogonal_lines(orthogonal_through_point(sK3,sK2),sK3) ),
inference(instantiation,[status(thm)],[25]) ).
fof(ooc1,plain,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('Axioms/GEO006+3.ax',ooc1) ).
cnf(23,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ooc1]) ).
cnf(l19,plain,
~ unorthogonal_lines(orthogonal_through_point(sK3,sK2),sK3),
inference(instantiation,[status(thm)],[23]) ).
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(orthogonal_through_point(sK3,sK1),orthogonal_through_point(sK3,sK2))
| equal_lines(orthogonal_through_point(sK3,sK1),orthogonal_through_point(sK3,sK2)) ),
inference(instantiation,[status(thm)],[39]) ).
fof(ooc2,plain,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('Axioms/GEO006+3.ax',ooc2) ).
cnf(24,plain,
~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf,[status(esa)],[ooc2]) ).
cnf(l11,plain,
~ apart_point_and_line(sK2,orthogonal_through_point(sK3,sK2)),
inference(instantiation,[status(thm)],[24]) ).
cnf(47,plain,
~ equal_lines(orthogonal_through_point(sK3,sK1),orthogonal_through_point(sK3,sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l10,plain,
~ equal_lines(orthogonal_through_point(sK3,sK1),orthogonal_through_point(sK3,sK2)),
inference(instantiation,[status(thm)],[47]) ).
cnf(l12,plain,
~ unorthogonal_lines(orthogonal_through_point(sK3,sK1),sK3),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l19,l3,l11,l10,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO221+3 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.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 11:44:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.35 % launching worker at depth: 11
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------