%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO267+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 : 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 07:15:01 AM UTC 2026
% Result : Theorem 8.30s 8.19s
% Output : CNFRefutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 6 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 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(ax8_basics,axiom,
! [X0,X1] :
( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| 'unequally$udirected$ulines'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( 'unequally$udirected$uopposite$ulines'(X0,X1)
=> ( 'unequally$udirected$ulines'(X1,X2)
| 'unequally$udirected$uopposite$ulines'(X1,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( 'unequally$udirected$uopposite$ulines'(X0,X1)
=> ( 'unequally$udirected$ulines'(X1,X2)
| 'unequally$udirected$uopposite$ulines'(X1,X2) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c1,plain,
( ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| 'unequally$udirected$uopposite$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a1_defns]) ).
cnf(c49,plain,
( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| 'unequally$udirected$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[ax8_basics]) ).
cnf(c73,plain,
~ 'unequally$udirected$uopposite$ulines'(sK85,sK86),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
~ 'unequally$udirected$ulines'(sK85,sK86),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'unequally$udirected$uopposite$ulines'(X0,X1)
| 'unequally$udirected$ulines'(X0,X1) ),
inference(resolution,[status(thm)],[c49,c1]) ).
cnf(d1,plain,
'unequally$udirected$ulines'(sK85,sK86),
inference(resolution,[status(thm)],[d0,c73]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c74,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO267+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
% 0.10/5.39 % Computer : n007.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Fri Sep 25 13:09:58 UTC 2026
% 0.10/5.40 % CPUTime :
% 0.10/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.30/8.19 % SZS status Theorem for theBenchmark.p
% 8.30/8.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------