%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:04:09 AM UTC 2026
% Result : Theorem 8.82s 1.52s
% Output : CNFRefutation 8.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 4 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 2 sgn 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d_cons,axiom,
! [X0] :
( ( 'not$udrunk'(X0)
& drunk(X0) )
=> goal ) ).
fof(neg_phi,axiom,
! [X0] :
( 'neg$upsi'
& drunk(X0) ) ).
fof(neg_psi_ax,axiom,
( 'neg$upsi'
=> ? [X0] : 'not$udrunk'(X0) ) ).
fof(goal_to_be_proved,conjecture,
goal ).
fof(negated_conjecture,negated_conjecture,
~ goal,
inference(negate_conjecture,[status(cth)],[goal_to_be_proved]) ).
cnf(c0,plain,
( goal
| ~ 'not$udrunk'(X0)
| ~ drunk(X0) ),
inference(clausification,[status(esa)],[d_cons]) ).
cnf(c1,plain,
drunk(X0),
inference(clausification,[status(esa)],[neg_phi]) ).
cnf(c2,plain,
'neg$upsi',
inference(clausification,[status(esa)],[neg_phi]) ).
cnf(c3,plain,
( 'not$udrunk'(sK2)
| ~ 'neg$upsi' ),
inference(clausification,[status(esa)],[neg_psi_ax]) ).
cnf(c4,plain,
~ goal,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'not$udrunk'(sK2),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
( ~ drunk(X0)
| ~ 'not$udrunk'(X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d2,plain,
~ 'not$udrunk'(X0),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.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 00:18:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.82/1.52 % SZS status Theorem for theBenchmark.p
% 8.82/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------