%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO216+1 : 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 : n020.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 01:38:36 PM UTC 2025
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 6 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L] :
~ ~ unorthogonal_lines(L,L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L] :
~ ~ unorthogonal_lines(L,L),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(20,plain,
~ unorthogonal_lines(sK1,sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ unorthogonal_lines(sK1,sK1),
inference(instantiation,[status(thm)],[20]) ).
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(19,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l1,plain,
( ~ convergent_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[19]) ).
fof(coipo1,plain,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('Axioms/GEO006+4.ax',coipo1) ).
cnf(14,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[coipo1]) ).
cnf(l2,plain,
( convergent_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO216+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 11:43:34 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------