%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN733+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 : n007.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 09:29:28 AM UTC 2026
% Result : Theorem 8.54s 11.80s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 14 ( 4 ~; 4 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 11 ( 3 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(y2141,conjecture,
( ! [X0] :
? [X1] :
( ( q(X0)
| q(X1) )
& p(X0) )
=> ? [X2] :
( q(X2)
& p(X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( q(X0)
| q(X1) )
& p(X0) )
=> ? [X2] :
( q(X2)
& p(X2) ) ),
inference(negate_conjecture,[status(cth)],[y2141]) ).
cnf(c0,plain,
p(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( q(X0)
| q(sK1(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ q(X0)
| ~ p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ q(X0),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
q(sK1(X0)),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d0,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN733+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
% 0.10/10.38 % Computer : n007.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sat Sep 26 18:21:19 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.54/11.80 % SZS status Theorem for theBenchmark.p
% 8.54/11.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------