%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO171+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 : n027.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 01:38:18 PM UTC 2025
% Result : Theorem 0.20s 0.37s
% 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 : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 14 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
fof(ax6,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO006+0.ax',ax6) ).
cnf(5,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf,[status(esa)],[ax6]) ).
cnf(l1,plain,
( ~ convergent_lines(sK1,sK2)
| convergent_lines(sK1,sK1)
| convergent_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[5]) ).
fof(couo1,plain,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('Axioms/GEO006+4.ax',couo1) ).
cnf(31,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l3,plain,
( ~ convergent_lines(sK1,sK1)
| unorthogonal_lines(orthogonal_through_point(sK1,X1_6),sK1)
| unorthogonal_lines(orthogonal_through_point(sK1,X1_6),sK1) ),
inference(instantiation,[status(thm)],[31]) ).
fof(ceq3,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('Axioms/GEO006+0.ax',ceq3) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf,[status(esa)],[ceq3]) ).
cnf(l5,plain,
( ~ convergent_lines(sK2,sK1)
| distinct_lines(sK1,sK2)
| convergent_lines(sK2,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
fof(apart3,plain,
! [X] : ~ convergent_lines(X,X),
file('Axioms/GEO006+0.ax',apart3) ).
cnf(2,plain,
~ convergent_lines(X0,X0),
inference(cnf,[status(esa)],[apart3]) ).
cnf(l10,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[2]) ).
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(l8,plain,
~ unorthogonal_lines(orthogonal_through_point(sK1,X1_6),sK1),
inference(instantiation,[status(thm)],[23]) ).
cnf(l6,plain,
~ unorthogonal_lines(orthogonal_through_point(sK1,X1_6),sK1),
inference(instantiation,[status(thm)],[23]) ).
cnf(47,plain,
~ distinct_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l7,plain,
~ distinct_lines(sK1,sK2),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l10,l8,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO171+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Jul 20 11:36:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.36 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------