%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO178+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 : n019.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 07:14:33 AM UTC 2026
% Result : Theorem 12.44s 6.96s
% Output : CNFRefutation 12.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 9 |; 4 &)
% ( 0 <=>; 5 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(ceq1,axiom,
! [X0,X1,X2] :
( 'apart$upoint$uand$uline'(X0,X1)
=> ( 'apart$upoint$uand$uline'(X2,X1)
| 'distinct$upoints'(X0,X2) ) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( ( 'apart$upoint$uand$uline'(X2,'line$uconnecting'(X0,X1))
& 'distinct$upoints'(X0,X1) )
=> ( 'distinct$upoints'(X2,X1)
& 'distinct$upoints'(X2,X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'apart$upoint$uand$uline'(X2,'line$uconnecting'(X0,X1))
& 'distinct$upoints'(X0,X1) )
=> ( 'distinct$upoints'(X2,X1)
& 'distinct$upoints'(X2,X0) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c6,plain,
( ~ 'apart$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$upoints'(X0,X1) ),
inference(clausification,[status(esa)],[ci2]) ).
cnf(c11,plain,
( 'apart$upoint$uand$uline'(X2,X1)
| 'distinct$upoints'(X0,X2)
| ~ 'apart$upoint$uand$uline'(X0,X1) ),
inference(clausification,[status(esa)],[ceq1]) ).
cnf(c46,plain,
'distinct$upoints'(sK81,sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c47,plain,
'apart$upoint$uand$uline'(sK83,'line$uconnecting'(sK81,sK82)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c48,plain,
( ~ 'distinct$upoints'(sK83,sK82)
| ~ 'distinct$upoints'(sK83,sK81) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'apart$upoint$uand$uline'(X0,'line$uconnecting'(sK81,sK82))
| 'distinct$upoints'(sK83,X0) ),
inference(resolution,[status(thm)],[c11,c47]) ).
cnf(d1,plain,
( ~ 'distinct$upoints'(sK81,sK82)
| 'distinct$upoints'(sK83,sK82) ),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
'distinct$upoints'(sK83,sK82),
inference(resolution,[status(thm)],[c46,d1]) ).
cnf(d3,plain,
( ~ 'distinct$upoints'(sK81,sK82)
| 'distinct$upoints'(sK83,sK81) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d4,plain,
'distinct$upoints'(sK83,sK81),
inference(resolution,[status(thm)],[c46,d3]) ).
cnf(d5,plain,
~ 'distinct$upoints'(sK83,sK82),
inference(resolution,[status(thm)],[d4,c48]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO178+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
% 0.10/5.38 % Computer : n019.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 13:02:26 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.44/6.96 % SZS status Theorem for theBenchmark.p
% 12.44/6.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------