%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO237+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 07:14:54 AM UTC 2026
% Result : Theorem 12.93s 2.35s
% Output : CNFRefutation 12.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 8 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_defns,axiom,
! [X0,X1] :
( 'right$uapart$upoint'(X0,X1)
<=> 'left$uapart$upoint'(X0,'reverse$uline'(X1)) ) ).
fof(a6_defns,axiom,
! [X0,X1] :
( 'apart$upoint$uand$uline'(X0,X1)
<=> ( 'right$uapart$upoint'(X0,X1)
| 'left$uapart$upoint'(X0,X1) ) ) ).
fof(ax10_basics,axiom,
! [X0,X1] :
~ ( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| 'left$uapart$upoint'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2,X3] :
( 'apart$upoint$uand$uline'(X2,X3)
=> ( 'divides$upoints'(X3,X0,X1)
=> ( 'divides$upoints'(X3,X1,X2)
| 'divides$upoints'(X3,X0,X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 'apart$upoint$uand$uline'(X2,X3)
=> ( 'divides$upoints'(X3,X0,X1)
=> ( 'divides$upoints'(X3,X1,X2)
| 'divides$upoints'(X3,X0,X2) ) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c2,plain,
( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| ~ 'right$uapart$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[a2_defns]) ).
cnf(c10,plain,
( 'right$uapart$upoint'(X0,X1)
| 'left$uapart$upoint'(X0,X1)
| ~ 'apart$upoint$uand$uline'(X0,X1) ),
inference(clausification,[status(esa)],[a6_defns]) ).
cnf(c51,plain,
~ 'left$uapart$upoint'(X0,X1),
inference(clausification,[status(esa)],[ax10_basics]) ).
cnf(c72,plain,
'apart$upoint$uand$uline'(sK86,sK87),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'apart$upoint$uand$uline'(X0,X1)
| 'right$uapart$upoint'(X0,X1) ),
inference(resolution,[status(thm)],[c51,c10]) ).
cnf(d1,plain,
~ 'right$uapart$upoint'(X0,X1),
inference(resolution,[status(thm)],[c51,c2]) ).
cnf(d2,plain,
~ 'apart$upoint$uand$uline'(X0,X1),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO237+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 13:12:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.93/2.35 % SZS status Theorem for theBenchmark.p
% 12.93/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------