%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN050+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:20:57 AM UTC 2026
% Result : Theorem 9.55s 6.67s
% Output : CNFRefutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 20 ( 5 ~; 3 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 23 ( 6 sgn 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel20,conjecture,
( ! [X0,X1] :
? [X2] :
! [X3] :
( ( 'big$uq'(X1)
& 'big$up'(X0) )
=> ( 'big$us'(X3)
& 'big$ur'(X2) ) )
=> ? [X4,X5] :
( ( 'big$uq'(X5)
& 'big$up'(X4) )
=> ? [X6] : 'big$ur'(X6) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
? [X2] :
! [X3] :
( ( 'big$uq'(X1)
& 'big$up'(X0) )
=> ( 'big$us'(X3)
& 'big$ur'(X2) ) )
=> ? [X4,X5] :
( ( 'big$uq'(X5)
& 'big$up'(X4) )
=> ? [X6] : 'big$ur'(X6) ) ),
inference(negate_conjecture,[status(cth)],[pel20]) ).
cnf(c0,plain,
( 'big$ur'(sK2(X0,X1))
| ~ 'big$uq'(X1)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
'big$up'(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
'big$uq'(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ 'big$ur'(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$ur'(sK2(X1,X0))
| ~ 'big$uq'(X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$ur'(sK2(X0,X1)),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN050+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 17:06:45 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/6.67 % SZS status Theorem for theBenchmark.p
% 9.55/6.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------