%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO265+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 : n011.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 07:15:01 AM UTC 2026
% Result : Theorem 9.93s 3.33s
% Output : CNFRefutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 3 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_defns,axiom,
! [X0,X1] :
( 'unequally$udirected$uopposite$ulines'(X0,X1)
<=> 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) ) ).
fof(a4_defns,axiom,
! [X0,X1] :
( 'equally$udirected$ulines'(X0,X1)
<=> ~ 'unequally$udirected$ulines'(X0,X1) ) ).
fof(a5_defns,axiom,
! [X0,X1] :
( 'equally$udirected$uopposite$ulines'(X0,X1)
<=> ~ 'unequally$udirected$uopposite$ulines'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1] :
( 'equally$udirected$ulines'(X0,'reverse$uline'(X1))
=> 'equally$udirected$uopposite$ulines'(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'equally$udirected$ulines'(X0,'reverse$uline'(X1))
=> 'equally$udirected$uopposite$ulines'(X0,X1) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c0,plain,
( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$uopposite$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a1_defns]) ).
cnf(c6,plain,
( ~ 'unequally$udirected$ulines'(X0,X1)
| ~ 'equally$udirected$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a4_defns]) ).
cnf(c9,plain,
( 'unequally$udirected$uopposite$ulines'(X0,X1)
| 'equally$udirected$uopposite$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a5_defns]) ).
cnf(c72,plain,
'equally$udirected$ulines'(sK84,'reverse$uline'(sK85)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c73,plain,
~ 'equally$udirected$uopposite$ulines'(sK84,sK85),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'unequally$udirected$uopposite$ulines'(sK84,sK85),
inference(resolution,[status(thm)],[c9,c73]) ).
cnf(d1,plain,
~ 'unequally$udirected$ulines'(sK84,'reverse$uline'(sK85)),
inference(resolution,[status(thm)],[c6,c72]) ).
cnf(d2,plain,
~ 'unequally$udirected$uopposite$ulines'(sK84,sK85),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO265+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n011.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 13:11:58 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.93/3.33 % SZS status Theorem for theBenchmark.p
% 9.93/3.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------