%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:34:23 AM UTC 2026
% Result : Theorem 12.91s 2.18s
% Output : CNFRefutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 2 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 19 ( 5 ~; 4 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
( p(X0)
| ~ q(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( q(X0)
| p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ p(sK1)
| ~ p(sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ p(sK0),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN950+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n006.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 18:51:11 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.91/2.18 % SZS status Theorem for theBenchmark.p
% 12.91/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------