%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN405+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 : n016.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 09:22:04 AM UTC 2026
% Result : Theorem 12.98s 2.28s
% Output : CNFRefutation 12.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 11 ( 4 ~; 1 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish239,conjecture,
( ( ? [X1] : g(X1)
& ! [X0] : f(X0) )
=> ? [X2] :
( g(X2)
& f(X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ? [X1] : g(X1)
& ! [X0] : f(X0) )
=> ? [X2] :
( g(X2)
& f(X2) ) ),
inference(negate_conjecture,[status(cth)],[kalish239]) ).
cnf(c0,plain,
f(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
g(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ g(X0)
| ~ f(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ g(X0),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN405+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
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 17:46:01 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.98/2.28 % SZS status Theorem for theBenchmark.p
% 12.98/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------