%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO231+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 07:14:53 AM UTC 2026
% Result : Theorem 12.87s 2.15s
% Output : CNFRefutation 12.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 20 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-1 aty)
% Number of variables : 28 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag5,axiom,
! [X0] : ~ 'unequally$udirected$ulines'(X0,X0) ).
fof(oag6,axiom,
! [X0,X1,X2] :
( 'unequally$udirected$ulines'(X0,X1)
=> ( 'unequally$udirected$ulines'(X1,X2)
| 'unequally$udirected$ulines'(X0,X2) ) ) ).
fof(oag9,axiom,
! [X0,X1] :
( ( 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
& 'unequally$udirected$ulines'(X0,X1) )
=> ( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1) ) ) ).
fof(oag11,axiom,
! [X0,X1] :
~ ( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( ( ~ 'unequally$udirected$ulines'(X0,X2)
& ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) )
=> ~ 'unequally$udirected$ulines'(X1,'reverse$uline'(X2)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ 'unequally$udirected$ulines'(X0,X2)
& ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) )
=> ~ 'unequally$udirected$ulines'(X1,'reverse$uline'(X2)) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c35,plain,
~ 'unequally$udirected$ulines'(X0,X0),
inference(clausification,[status(esa)],[oag5]) ).
cnf(c36,plain,
( 'unequally$udirected$ulines'(X1,X2)
| 'unequally$udirected$ulines'(X0,X2)
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[oag6]) ).
cnf(c42,plain,
( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| 'left$uconvergent$ulines'(X0,X1)
| ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(clausification,[status(esa)],[oag9]) ).
cnf(c45,plain,
~ 'left$uconvergent$ulines'(X0,X1),
inference(clausification,[status(esa)],[oag11]) ).
cnf(c64,plain,
~ 'unequally$udirected$ulines'(sK74,'reverse$uline'(sK75)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
~ 'unequally$udirected$ulines'(sK74,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
'unequally$udirected$ulines'(sK75,'reverse$uline'(sK76)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))
| ~ 'unequally$udirected$ulines'(X0,X1) ),
inference(resolution,[status(thm)],[c45,c42]) ).
cnf(d1,plain,
( 'left$uconvergent$ulines'(sK75,'reverse$uline'(sK76))
| ~ 'unequally$udirected$ulines'(sK75,sK76) ),
inference(resolution,[status(thm)],[d0,c66]) ).
cnf(d2,plain,
~ 'unequally$udirected$ulines'(sK75,sK76),
inference(resolution,[status(thm)],[c45,d1]) ).
cnf(d3,plain,
( 'unequally$udirected$ulines'(sK75,X0)
| 'unequally$udirected$ulines'('reverse$uline'(sK76),X0) ),
inference(resolution,[status(thm)],[c36,c66]) ).
cnf(d4,plain,
( 'unequally$udirected$ulines'('reverse$uline'(sK76),X1)
| 'unequally$udirected$ulines'(X0,X1)
| 'unequally$udirected$ulines'(sK75,X0) ),
inference(resolution,[status(thm)],[d3,c36]) ).
cnf(d5,plain,
( 'unequally$udirected$ulines'(sK75,sK74)
| 'unequally$udirected$ulines'('reverse$uline'(sK76),'reverse$uline'(sK75)) ),
inference(resolution,[status(thm)],[d4,c64]) ).
cnf(d6,plain,
( 'left$uconvergent$ulines'('reverse$uline'(sK76),'reverse$uline'(sK75))
| ~ 'unequally$udirected$ulines'('reverse$uline'(sK76),sK75)
| 'unequally$udirected$ulines'(sK75,sK74) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( 'unequally$udirected$ulines'(sK75,sK74)
| ~ 'unequally$udirected$ulines'('reverse$uline'(sK76),sK75) ),
inference(resolution,[status(thm)],[c45,d6]) ).
cnf(d8,plain,
( 'unequally$udirected$ulines'(sK75,sK75)
| 'unequally$udirected$ulines'(sK75,sK74) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
'unequally$udirected$ulines'(sK75,sK74),
inference(resolution,[status(thm)],[c35,d8]) ).
cnf(d10,plain,
( 'unequally$udirected$ulines'(sK75,X0)
| 'unequally$udirected$ulines'(sK74,X0) ),
inference(resolution,[status(thm)],[d9,c36]) ).
cnf(d11,plain,
'unequally$udirected$ulines'(sK74,sK76),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c65,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO231+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 13:10:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.87/2.15 % SZS status Theorem for theBenchmark.p
% 12.87/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------