%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO200+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 07:14:42 AM UTC 2026
% Result : Theorem 29.58s 9.30s
% Output : CNFRefutation 29.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 19 ~; 36 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart1,axiom,
! [X0] : ~ 'distinct$upoints'(X0,X0) ).
fof(apart4,axiom,
! [X0,X1,X2] :
( 'distinct$upoints'(X0,X1)
=> ( 'distinct$upoints'(X1,X2)
| 'distinct$upoints'(X0,X2) ) ) ).
fof(ci1,axiom,
! [X0,X1] :
( 'distinct$upoints'(X0,X1)
=> ~ 'apart$upoint$uand$uline'(X0,'line$uconnecting'(X0,X1)) ) ).
fof(ci2,axiom,
! [X0,X1] :
( 'distinct$upoints'(X0,X1)
=> ~ 'apart$upoint$uand$uline'(X1,'line$uconnecting'(X0,X1)) ) ).
fof(cu1,axiom,
! [X0,X1,X2,X3] :
( ( 'distinct$ulines'(X2,X3)
& 'distinct$upoints'(X0,X1) )
=> ( 'apart$upoint$uand$uline'(X1,X3)
| 'apart$upoint$uand$uline'(X1,X2)
| 'apart$upoint$uand$uline'(X0,X3)
| 'apart$upoint$uand$uline'(X0,X2) ) ) ).
fof(con,conjecture,
! [X0,X1] :
( 'distinct$upoints'(X0,X1)
=> ~ 'distinct$ulines'('line$uconnecting'(X0,X1),'line$uconnecting'(X1,X0)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'distinct$upoints'(X0,X1)
=> ~ 'distinct$ulines'('line$uconnecting'(X0,X1),'line$uconnecting'(X1,X0)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c0,plain,
~ 'distinct$upoints'(X0,X0),
inference(clausification,[status(esa)],[apart1]) ).
cnf(c3,plain,
( 'distinct$upoints'(X1,X2)
| 'distinct$upoints'(X0,X2)
| ~ 'distinct$upoints'(X0,X1) ),
inference(clausification,[status(esa)],[apart4]) ).
cnf(c6,plain,
( ~ 'apart$upoint$uand$uline'(X0,'line$uconnecting'(X0,X1))
| ~ 'distinct$upoints'(X0,X1) ),
inference(clausification,[status(esa)],[ci1]) ).
cnf(c7,plain,
( ~ 'apart$upoint$uand$uline'(X1,'line$uconnecting'(X0,X1))
| ~ 'distinct$upoints'(X0,X1) ),
inference(clausification,[status(esa)],[ci2]) ).
cnf(c10,plain,
( 'apart$upoint$uand$uline'(X3,X2)
| 'apart$upoint$uand$uline'(X3,X1)
| ~ 'distinct$ulines'(X2,X1)
| ~ 'distinct$upoints'(X0,X3)
| 'apart$upoint$uand$uline'(X0,X2)
| 'apart$upoint$uand$uline'(X0,X1) ),
inference(clausification,[status(esa)],[cu1]) ).
cnf(c14,plain,
'distinct$upoints'(sK33,sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
'distinct$ulines'('line$uconnecting'(sK33,sK34),'line$uconnecting'(sK34,sK33)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'apart$upoint$uand$uline'(X0,'line$uconnecting'(sK33,sK34))
| 'apart$upoint$uand$uline'(X0,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(X1,'line$uconnecting'(sK33,sK34))
| 'apart$upoint$uand$uline'(X1,'line$uconnecting'(sK34,sK33))
| ~ 'distinct$upoints'(X0,X1) ),
inference(resolution,[status(thm)],[c10,c15]) ).
cnf(d1,plain,
( 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34))
| 'apart$upoint$uand$uline'(sK34,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK34,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( ~ 'distinct$upoints'(sK34,sK33)
| 'apart$upoint$uand$uline'(sK34,'line$uconnecting'(sK33,sK34))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( 'distinct$upoints'(sK33,X0)
| 'distinct$upoints'(sK34,X0) ),
inference(resolution,[status(thm)],[c3,c14]) ).
cnf(d4,plain,
( 'distinct$upoints'(sK34,X1)
| 'distinct$upoints'(X0,X1)
| 'distinct$upoints'(sK33,X0) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( 'distinct$upoints'(sK33,X0)
| 'distinct$upoints'(X0,sK34) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( 'distinct$upoints'(sK33,X1)
| 'distinct$upoints'(X0,X1)
| 'distinct$upoints'(X0,sK34) ),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
( 'distinct$upoints'(X0,sK34)
| 'distinct$upoints'(X0,sK33) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
'distinct$upoints'(sK34,sK33),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( 'apart$upoint$uand$uline'(sK34,'line$uconnecting'(sK33,sK34))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( ~ 'distinct$upoints'(sK33,sK34)
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[d9,c7]) ).
cnf(d11,plain,
( 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK34,sK33))
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[c14,d10]) ).
cnf(d12,plain,
( ~ 'distinct$upoints'(sK34,sK33)
| 'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)) ),
inference(resolution,[status(thm)],[d11,c7]) ).
cnf(d13,plain,
'apart$upoint$uand$uline'(sK33,'line$uconnecting'(sK33,sK34)),
inference(resolution,[status(thm)],[d8,d12]) ).
cnf(d14,plain,
~ 'distinct$upoints'(sK33,sK34),
inference(resolution,[status(thm)],[d13,c6]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c14,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO200+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n017.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Fri Sep 25 13:00:38 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.58/9.30 % SZS status Theorem for theBenchmark.p
% 29.58/9.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------