%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:29:25 AM UTC 2026
% Result : Theorem 8.99s 2.59s
% Output : CNFRefutation 8.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 21 ( 6 ~; 3 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 4 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lx1,conjecture,
( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(negate_conjecture,[status(cth)],[lx1]) ).
cnf(c0,plain,
r(a,b),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( q(X0,X0)
| ~ r(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( r(X2,X1)
| ~ q(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
q(a,a),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ r(b,a),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
r(X0,a),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 18:21:49 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.99/2.59 % SZS status Theorem for theBenchmark.p
% 8.99/2.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------