%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN399+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 : n002.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 09:22:03 AM UTC 2026
% Result : Theorem 12.81s 2.33s
% Output : CNFRefutation 12.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 17 ( 6 ~; 5 |; 0 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish223,conjecture,
( ! [X0] :
( f(X0)
<=> p )
=> ( ! [X1] : f(X1)
<=> p ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
( f(X0)
<=> p )
=> ( ! [X1] : f(X1)
<=> p ) ),
inference(negate_conjecture,[status(cth)],[kalish223]) ).
cnf(c0,plain,
( p
| ~ f(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( ~ p
| f(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( p
| f(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ f(sK2)
| ~ p ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p
| p ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
~ f(sK2),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
f(X0),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN399+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n002.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 17:43:21 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.81/2.33 % SZS status Theorem for theBenchmark.p
% 12.81/2.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------