%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN722+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 : n013.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 09:29:26 AM UTC 2026
% Result : Theorem 8.28s 1.58s
% Output : CNFRefutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 57 ( 28 ~; 23 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 12 ( 4 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm119,conjecture,
~ ( ( ~ p(b)
| ~ p(a) )
& ! [X1] :
? [X2] :
( ~ q(d)
| ~ q(c)
| ~ q(X2)
| ~ q(X1)
| p(X1) )
& ! [X0] :
( q(X0)
& ( r(X0)
| p(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ( ( ~ p(b)
| ~ p(a) )
& ! [X1] :
? [X2] :
( ~ q(d)
| ~ q(c)
| ~ q(X2)
| ~ q(X1)
| p(X1) )
& ! [X0] :
( q(X0)
& ( r(X0)
| p(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[thm119]) ).
cnf(c1,plain,
q(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ q(c)
| ~ q(X0)
| ~ q(d)
| ~ q(sK2(X0))
| p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ p(b)
| ~ p(a) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ q(c)
| ~ q(sK2(X0))
| ~ q(d)
| p(X0) ),
inference(resolution,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
( ~ q(c)
| ~ q(d)
| p(X0) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ q(c)
| p(X0) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
p(X0),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
~ p(a),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d3,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN722+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:21:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.28/1.58 % SZS status Theorem for theBenchmark.p
% 8.28/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------