%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN944+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 : n003.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 8.84s 1.52s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 25 ( 6 ~; 3 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 1 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s(X3)
=> p(X3) )
& r(X1,X2)
& s(X1)
& s(X0) )
=> ? [X3,X4] :
( q(X3,X4)
& p(X3) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s(X3)
=> p(X3) )
& r(X1,X2)
& s(X1)
& s(X0) )
=> ? [X3,X4] :
( q(X3,X4)
& p(X3) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c1,plain,
s(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
r(sK1,sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( p(X0)
| ~ s(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( q(X0,X1)
| ~ r(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( ~ q(X0,X1)
| ~ p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
q(sK1,sK2),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
~ p(sK1),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
p(sK1),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:52:54 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.84/1.52 % SZS status Theorem for theBenchmark.p
% 8.84/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------