%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:14:52 AM UTC 2026
% Result : Theorem 8.55s 3.22s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 2 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 19 ~; 15 |; 1 &)
% ( 3 <=>; 0 =>; 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 : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con_def,axiom,
! [X0,X1] :
( 'convergent$ulines'(X0,X1)
<=> ( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
& 'unequally$udirected$ulines'(X0,X1) ) ) ).
fof(con,conjecture,
! [X0,X1] :
( ~ 'convergent$ulines'(X0,X1)
<=> ( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ~ 'convergent$ulines'(X0,X1)
<=> ( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c3,plain,
( 'unequally$udirected$ulines'(X0,X1)
| ~ 'convergent$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[con_def]) ).
cnf(c4,plain,
( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'convergent$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[con_def]) ).
cnf(c5,plain,
( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1)
| 'convergent$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[con_def]) ).
cnf(c65,plain,
( ~ 'unequally$udirected$ulines'(sK74,'reverse$uline'(sK75))
| ~ 'unequally$udirected$ulines'(sK74,sK75)
| ~ 'convergent$ulines'(sK74,sK75) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
( 'convergent$ulines'(sK74,sK75)
| 'unequally$udirected$ulines'(sK74,sK75) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
( 'convergent$ulines'(sK74,sK75)
| 'unequally$udirected$ulines'(sK74,'reverse$uline'(sK75)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'convergent$ulines'(sK74,sK75)
| ~ 'unequally$udirected$ulines'(sK74,sK75)
| 'convergent$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[c5,c68]) ).
cnf(d1,plain,
( 'unequally$udirected$ulines'(sK74,sK75)
| 'unequally$udirected$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[c3,c66]) ).
cnf(d2,plain,
'convergent$ulines'(sK74,sK75),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'unequally$udirected$ulines'(sK74,'reverse$uline'(sK75))
| ~ 'convergent$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[d1,c65]) ).
cnf(d4,plain,
( ~ 'convergent$ulines'(sK74,sK75)
| ~ 'convergent$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Fri Sep 25 13:08:32 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.55/3.22 % SZS status Theorem for theBenchmark.p
% 8.55/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------