%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO217+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 : n006.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 07:14:48 AM UTC 2026
% Result : Theorem 11.97s 3.13s
% Output : CNFRefutation 11.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 15 ~; 18 |; 2 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart2,axiom,
! [X0] : ~ 'distinct$ulines'(X0,X0) ).
fof(apart3,axiom,
! [X0] : ~ 'convergent$ulines'(X0,X0) ).
fof(apart5,axiom,
! [X0,X1,X2] :
( 'distinct$ulines'(X0,X1)
=> ( 'distinct$ulines'(X1,X2)
| 'distinct$ulines'(X0,X2) ) ) ).
fof(ax6,axiom,
! [X0,X1,X2] :
( 'convergent$ulines'(X0,X1)
=> ( 'convergent$ulines'(X1,X2)
| 'convergent$ulines'(X0,X2) ) ) ).
fof(ceq3,axiom,
! [X0,X1,X2] :
( 'convergent$ulines'(X0,X1)
=> ( 'convergent$ulines'(X0,X2)
| 'distinct$ulines'(X1,X2) ) ) ).
fof(p1,axiom,
! [X0,X1] :
( 'distinct$ulines'(X0,X1)
=> 'convergent$ulines'(X0,X1) ) ).
fof(a3,axiom,
! [X0,X1] :
( 'parallel$ulines'(X0,X1)
<=> ~ 'convergent$ulines'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( ( 'parallel$ulines'(X0,X2)
& 'parallel$ulines'(X0,X1) )
=> 'parallel$ulines'(X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'parallel$ulines'(X0,X2)
& 'parallel$ulines'(X0,X1) )
=> 'parallel$ulines'(X1,X2) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c1,plain,
~ 'distinct$ulines'(X0,X0),
inference(clausification,[status(esa)],[apart2]) ).
cnf(c2,plain,
~ 'convergent$ulines'(X0,X0),
inference(clausification,[status(esa)],[apart3]) ).
cnf(c4,plain,
( 'distinct$ulines'(X1,X2)
| 'distinct$ulines'(X0,X2)
| ~ 'distinct$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[apart5]) ).
cnf(c5,plain,
( 'convergent$ulines'(X1,X2)
| 'convergent$ulines'(X0,X2)
| ~ 'convergent$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[ax6]) ).
cnf(c13,plain,
( 'convergent$ulines'(X0,X2)
| 'distinct$ulines'(X1,X2)
| ~ 'convergent$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[ceq3]) ).
cnf(c14,plain,
( 'convergent$ulines'(X0,X1)
| ~ 'distinct$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c40,plain,
( ~ 'convergent$ulines'(X0,X1)
| ~ 'parallel$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c41,plain,
( 'convergent$ulines'(X0,X1)
| 'parallel$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c46,plain,
'parallel$ulines'(sK81,sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c47,plain,
'parallel$ulines'(sK81,sK83),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c48,plain,
~ 'parallel$ulines'(sK82,sK83),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'convergent$ulines'(sK81,sK83),
inference(resolution,[status(thm)],[c40,c47]) ).
cnf(d1,plain,
'convergent$ulines'(sK82,sK83),
inference(resolution,[status(thm)],[c41,c48]) ).
cnf(d2,plain,
( 'convergent$ulines'(sK82,X0)
| 'distinct$ulines'(sK83,X0) ),
inference(resolution,[status(thm)],[d1,c13]) ).
cnf(d3,plain,
( 'distinct$ulines'(sK83,X1)
| 'distinct$ulines'(X0,X1)
| 'convergent$ulines'(sK82,X0) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( 'convergent$ulines'(sK82,X0)
| 'distinct$ulines'(X0,sK83) ),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
( 'convergent$ulines'(X0,sK83)
| 'convergent$ulines'(sK82,X0) ),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d6,plain,
'convergent$ulines'(sK82,sK81),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( 'convergent$ulines'(sK82,X0)
| 'convergent$ulines'(sK81,X0) ),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
'convergent$ulines'(sK81,sK82),
inference(resolution,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
~ 'convergent$ulines'(sK81,sK82),
inference(resolution,[status(thm)],[c40,c46]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO217+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
% 0.19/0.43 % Computer : n006.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.44 % DateTime : Fri Sep 25 13:06:55 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.97/3.13 % SZS status Theorem for theBenchmark.p
% 11.97/3.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------