%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:21:01 AM UTC 2026
% Result : Theorem 9.61s 2.54s
% Output : CNFRefutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 6 sgn 5 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel37_1,axiom,
! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ( 'big$up'(X3,X1)
=> ? [X4] : 'big$uq'(X4,X1) )
& 'big$up'(X3,X0)
& ( 'big$up'(X2,X0)
=> 'big$up'(X3,X1) ) ) ).
fof(pel37_3,axiom,
( ? [X0,X1] : 'big$uq'(X0,X1)
=> ! [X2] : 'big$ur'(X2,X2) ) ).
fof(pel37,conjecture,
! [X0] :
? [X1] : 'big$ur'(X0,X1) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1] : 'big$ur'(X0,X1),
inference(negate_conjecture,[status(cth)],[pel37]) ).
cnf(c0,plain,
( 'big$up'(sK3(X1,X0),sK1(X1))
| ~ 'big$up'(X0,X1) ),
inference(clausification,[status(esa)],[pel37_1]) ).
cnf(c1,plain,
( 'big$uq'(sK4(X0),sK1(X0))
| ~ 'big$up'(sK3(X0,X1),sK1(X0)) ),
inference(clausification,[status(esa)],[pel37_1]) ).
cnf(c2,plain,
'big$up'(sK3(X0,X1),X0),
inference(clausification,[status(esa)],[pel37_1]) ).
cnf(c4,plain,
( 'big$ur'(X2,X2)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[pel37_3]) ).
cnf(c5,plain,
~ 'big$ur'(sK11,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$up'(sK3(X0,sK3(X0,X1)),sK1(X0)),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$uq'(sK4(X0),sK1(X0)),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'big$ur'(X0,X0),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n012.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:08:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.61/2.54 % SZS status Theorem for theBenchmark.p
% 9.61/2.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------