%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN370+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 : n008.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 09:21:58 AM UTC 2026
% Result : Theorem 9.72s 7.26s
% Output : CNFRefutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 2 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2121,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( 'big$up'(X0,X1,f(X1))
| 'big$up'(a,X1,h(X1)) )
=> 'big$up'(X0,X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( 'big$up'(X0,X1,f(X1))
| 'big$up'(a,X1,h(X1)) )
=> 'big$up'(X0,X1,X2) ),
inference(negate_conjecture,[status(cth)],[x2121]) ).
cnf(c0,plain,
( 'big$up'(X0,sK1(X0),f(sK1(X0)))
| 'big$up'(a,sK1(X0),h(sK1(X0))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
~ 'big$up'(X0,sK1(X0),X1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$up'(a,sK1(X0),h(sK1(X0))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN370+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.97 % Computer : n008.cluster.edu
% 0.09/5.97 % Model : x86_64 x86_64
% 0.09/5.97 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.97 % Memory : 8046.5625MB
% 0.09/5.97 % OS : Linux 6.8.0-71-generic
% 0.09/5.98 % CPULimit : 300
% 0.09/5.98 % WCLimit : 300
% 0.09/5.98 % DateTime : Sat Sep 26 17:40:03 UTC 2026
% 0.09/5.98 % CPUTime :
% 0.09/5.98 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.72/7.26 % SZS status Theorem for theBenchmark.p
% 9.72/7.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------