%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO262+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 : n013.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 07:15:00 AM UTC 2026
% Result : Theorem 14.03s 3.60s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 12 |; 12 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn 18 !; 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(oag9,axiom,
! [X0,X1] :
( ( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
& 'unequally$udirected$ulines'(X0,X1) )
=> ( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1) ) ) ).
fof(oag11,axiom,
! [X0,X1] :
~ ( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ 'apart$upoint$uand$uline'(X4,X2)
& 'convergent$ulines'(X1,X2)
& 'convergent$ulines'(X0,X2)
& ~ 'apart$upoint$uand$uline'(X4,X1)
& 'convergent$ulines'(X0,X1)
& 'between$uon$uline'(X0,X3,X4,X5) )
=> 'between$uon$uline'(X1,'intersection$upoint'(X1,'parallel$uthrough$upoint'(X2,X3)),X4,'intersection$upoint'(X1,'parallel$uthrough$upoint'(X2,X5))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ 'apart$upoint$uand$uline'(X4,X2)
& 'convergent$ulines'(X1,X2)
& 'convergent$ulines'(X0,X2)
& ~ 'apart$upoint$uand$uline'(X4,X1)
& 'convergent$ulines'(X0,X1)
& 'between$uon$uline'(X0,X3,X4,X5) )
=> 'between$uon$uline'(X1,'intersection$upoint'(X1,'parallel$uthrough$upoint'(X2,X3)),X4,'intersection$upoint'(X1,'parallel$uthrough$upoint'(X2,X5))) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c3,plain,
( 'unequally$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(c42,plain,
( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1)
| ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[oag9]) ).
cnf(c45,plain,
~ 'left$uconvergent$ulines'(X0,X1),
inference(clausification,[status(esa)],[oag11]) ).
cnf(c68,plain,
'convergent$ulines'(sK75,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'unequally$udirected$ulines'(sK75,sK76),
inference(resolution,[status(thm)],[c3,c68]) ).
cnf(d1,plain,
( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(resolution,[status(thm)],[c45,c42]) ).
cnf(d2,plain,
( ~ 'convergent$ulines'(X0,X1)
| 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( ~ 'unequally$udirected$ulines'(X0,X1)
| ~ 'convergent$ulines'(X0,X1) ),
inference(resolution,[status(thm)],[c45,d2]) ).
cnf(d4,plain,
~ 'convergent$ulines'(sK75,sK76),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c68,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO262+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 13:11:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.03/3.60 % SZS status Theorem for theBenchmark.p
% 14.03/3.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------