%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO171+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:14:31 AM UTC 2026
% Result : Theorem 10.23s 12.12s
% Output : CNFRefutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 6 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart3,axiom,
! [X0] : ~ 'convergent$ulines'(X0,X0) ).
fof(ax6,axiom,
! [X0,X1,X2] :
( 'convergent$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$ulines'(X1,X2) ) ) ).
fof(con,conjecture,
! [X0,X1] :
( 'convergent$ulines'(X0,X1)
=> 'distinct$ulines'(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'convergent$ulines'(X0,X1)
=> 'distinct$ulines'(X0,X1) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c2,plain,
~ 'convergent$ulines'(X0,X0),
inference(clausification,[status(esa)],[apart3]) ).
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(c46,plain,
'convergent$ulines'(sK81,sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c47,plain,
~ 'distinct$ulines'(sK81,sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'convergent$ulines'(sK81,X0)
| 'convergent$ulines'(sK82,X0) ),
inference(resolution,[status(thm)],[c5,c46]) ).
cnf(d1,plain,
( 'convergent$ulines'(sK82,X1)
| 'convergent$ulines'(X0,X1)
| 'convergent$ulines'(sK81,X0) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( 'convergent$ulines'(sK81,X0)
| 'convergent$ulines'(X0,sK82) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'convergent$ulines'(sK81,X1)
| 'convergent$ulines'(X0,X1)
| 'convergent$ulines'(X0,sK82) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( 'convergent$ulines'(X0,sK82)
| 'convergent$ulines'(X0,sK81) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
'convergent$ulines'(sK82,sK81),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( 'convergent$ulines'(sK82,X0)
| 'distinct$ulines'(sK81,X0) ),
inference(resolution,[status(thm)],[d5,c13]) ).
cnf(d7,plain,
'convergent$ulines'(sK82,sK82),
inference(resolution,[status(thm)],[d6,c47]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c2,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO171+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.59 % Computer : n026.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Fri Sep 25 13:03:37 UTC 2026
% 0.13/10.60 % CPUTime :
% 0.13/10.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.23/12.12 % SZS status Theorem for theBenchmark.p
% 10.23/12.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------