%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 19.83s 3.04s
% Output : CNFRefutation 19.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 14 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag8,axiom,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| 'unequally$udirected$ulines'(X0,X1) ) ) ).
fof(con,conjecture,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ~ ( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
& ~ 'unequally$udirected$ulines'(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ~ ( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
& ~ 'unequally$udirected$ulines'(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c41,plain,
( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| 'unequally$udirected$ulines'(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(clausification,[status(esa)],[oag8]) ).
cnf(c64,plain,
line(sK74),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
line(sK75),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
~ 'unequally$udirected$ulines'(sK74,sK75),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
~ 'unequally$udirected$ulines'(sK74,'reverse$uline'(sK75)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ line(sK75)
| ~ line(sK74)
| 'unequally$udirected$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[c41,c67]) ).
cnf(d1,plain,
( ~ line(sK75)
| 'unequally$udirected$ulines'(sK74,sK75) ),
inference(resolution,[status(thm)],[c64,d0]) ).
cnf(d2,plain,
'unequally$udirected$ulines'(sK74,sK75),
inference(resolution,[status(thm)],[c65,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c66,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n007.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Fri Sep 25 13:06:38 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.83/3.04 % SZS status Theorem for theBenchmark.p
% 19.83/3.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------