%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO253+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 : n004.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 07:14:58 AM UTC 2026
% Result : Theorem 8.04s 1.90s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 18 ( 8 ~; 5 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apt_def,axiom,
! [X0,X1] :
( 'apart$upoint$uand$uline'(X0,X1)
<=> ( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| 'left$uapart$upoint'(X0,X1) ) ) ).
fof(oag10,axiom,
! [X0,X1] :
~ ( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| 'left$uapart$upoint'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( ( ~ 'apart$upoint$uand$uline'(X1,'parallel$uthrough$upoint'(X2,X0))
& 'apart$upoint$uand$uline'(X0,X2) )
=> 'apart$upoint$uand$uline'(X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ 'apart$upoint$uand$uline'(X1,'parallel$uthrough$upoint'(X2,X0))
& 'apart$upoint$uand$uline'(X0,X2) )
=> 'apart$upoint$uand$uline'(X1,X2) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c0,plain,
( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| 'left$uapart$upoint'(X0,X1)
| ~ 'apart$upoint$uand$uline'(X0,X1) ),
inference(clausification,[status(esa)],[apt_def]) ).
cnf(c43,plain,
~ 'left$uapart$upoint'(X0,X1),
inference(clausification,[status(esa)],[oag10]) ).
cnf(c64,plain,
'apart$upoint$uand$uline'(sK74,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| ~ 'apart$upoint$uand$uline'(X0,X1) ),
inference(resolution,[status(thm)],[c43,c0]) ).
cnf(d1,plain,
~ 'apart$upoint$uand$uline'(X0,X1),
inference(resolution,[status(thm)],[c43,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO253+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 13:10:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.04/1.90 % SZS status Theorem for theBenchmark.p
% 8.04/1.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------