%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO267+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 : n025.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 01:38:49 PM UTC 2025
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 7 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( unequally_directed_opposite_lines(L,M)
=> ( unequally_directed_opposite_lines(M,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( unequally_directed_opposite_lines(L,M)
=> ( unequally_directed_opposite_lines(M,N)
| unequally_directed_lines(M,N) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(67,plain,
~ unequally_directed_opposite_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ unequally_directed_opposite_lines(sK2,sK3),
inference(instantiation,[status(thm)],[67]) ).
fof(a1_defns,plain,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a1_defns) ).
cnf(1,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l1,plain,
( ~ unequally_directed_lines(sK2,reverse_line(sK3))
| unequally_directed_opposite_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[1]) ).
fof(ax8_basics,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax8_basics) ).
cnf(43,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax8_basics]) ).
cnf(l9,plain,
( unequally_directed_lines(sK2,sK3)
| unequally_directed_lines(sK2,reverse_line(sK3)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(68,plain,
~ unequally_directed_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l10,plain,
~ unequally_directed_lines(sK2,sK3),
inference(instantiation,[status(thm)],[68]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l9,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO267+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 11:53:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------