%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO268+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 2.45s 0.64s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 44 ~; 50 |; 5 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 4 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M] :
( unequally_directed_lines(L,M)
<=> unequally_directed_opposite_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M] :
( unequally_directed_lines(L,M)
<=> unequally_directed_opposite_lines(L,reverse_line(M)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(66,plain,
( unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[66]) ).
fof(ax7_basics,plain,
! [L,M,N] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( ( unequally_directed_lines(L,N)
& unequally_directed_lines(L,reverse_line(N)) )
| ( unequally_directed_lines(M,N)
& unequally_directed_lines(M,reverse_line(N)) ) ) ),
file('Axioms/GEO009+0.ax',ax7_basics) ).
cnf(39,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X2)
| sP2(X1,X2) ),
inference(cnf,[status(esa)],[ax7_basics]) ).
cnf(l2,plain,
( ~ unequally_directed_lines(sK1,sK2)
| ~ unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(reverse_line(sK1)))
| sP2(sK2,reverse_line(reverse_line(sK1))) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(41,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[ax7_basics]) ).
cnf(l7,plain,
( unequally_directed_lines(sK2,reverse_line(reverse_line(reverse_line(sK1))))
| ~ sP2(sK2,reverse_line(reverse_line(sK1))) ),
inference(instantiation,[status(thm)],[41]) ).
fof(a7_defns,plain,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
file('Axioms/GEO009+0.ax',a7_defns) ).
cnf(15,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l1,plain,
( ~ unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| ~ unequally_directed_lines(sK1,reverse_line(sK2))
| convergent_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[15]) ).
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(l5,plain,
( unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[43]) ).
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(l17,plain,
( ~ unequally_directed_lines(sK1,reverse_line(reverse_line(sK2)))
| unequally_directed_opposite_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l174,plain,
( ~ convergent_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l3,plain,
( unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[43]) ).
fof(ax9_basics,plain,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO009+0.ax',ax9_basics) ).
cnf(44,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax9_basics]) ).
cnf(l4,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK1))
| ~ unequally_directed_lines(sK1,reverse_line(reverse_line(sK1)))
| left_convergent_lines(sK1,reverse_line(sK1))
| left_convergent_lines(sK1,reverse_line(reverse_line(sK1))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(67,plain,
( ~ unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| ~ unequally_directed_lines(sK1,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l12,plain,
( ~ unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| ~ unequally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l21,plain,
( ~ unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| ~ unequally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l175,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
| ~ unequally_directed_lines(sK1,reverse_line(reverse_line(sK2)))
| left_convergent_lines(sK1,reverse_line(sK2))
| left_convergent_lines(sK1,reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[44]) ).
fof(ax11_basics,plain,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax11_basics) ).
cnf(47,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l177,plain,
~ left_convergent_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[47]) ).
cnf(48,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l30,plain,
~ left_convergent_lines(sK1,reverse_line(sK1)),
inference(instantiation,[status(thm)],[48]) ).
cnf(l178,plain,
~ left_convergent_lines(sK1,reverse_line(reverse_line(sK2))),
inference(instantiation,[status(thm)],[48]) ).
fof(ax6_basics,plain,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('Axioms/GEO009+0.ax',ax6_basics) ).
cnf(38,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf,[status(esa)],[ax6_basics]) ).
cnf(l79,plain,
( ~ unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l114,plain,
( ~ unequally_directed_lines(sK2,reverse_line(reverse_line(sK1)))
| ~ unequally_directed_lines(sK2,reverse_line(reverse_line(reverse_line(sK1))))
| left_convergent_lines(sK2,reverse_line(reverse_line(sK1)))
| left_convergent_lines(sK2,reverse_line(reverse_line(reverse_line(sK1)))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(0,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l176,plain,
( ~ unequally_directed_opposite_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l97,plain,
( unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l115,plain,
~ left_convergent_lines(sK2,reverse_line(reverse_line(sK1))),
inference(instantiation,[status(thm)],[47]) ).
cnf(42,plain,
( unequally_directed_lines(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[ax7_basics]) ).
cnf(l116,plain,
( unequally_directed_lines(sK2,reverse_line(reverse_line(sK1)))
| ~ sP2(sK2,reverse_line(reverse_line(sK1))) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l75,plain,
~ left_convergent_lines(sK1,reverse_line(reverse_line(sK1))),
inference(instantiation,[status(thm)],[48]) ).
cnf(l118,plain,
~ left_convergent_lines(sK2,reverse_line(reverse_line(reverse_line(sK1)))),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l7,l1,l5,l17,l174,l3,l4,l12,l21,l175,l177,l30,l178,l79,l114,l176,l97,l115,l116,l75,l118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO268+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 11:53:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 2.45/0.64 % SZS status Theorem for theBenchmark
% 2.45/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------