%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 08:01:22 AM UTC 2026
% Result : Theorem 9.40s 6.78s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 23 ( 8 ~; 6 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 10 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_6,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( 'external$uties'(X0,X2) = 'external$uties'(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater('external$uties'(X0,X2),'external$uties'(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ) ).
fof(assumption_11,axiom,
! [X0,X1,X2] :
( organization(X0)
=> 'external$uties'(X0,X2) = 'external$uties'(X0,X1) ) ).
fof(lemma_6,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> position(X0,X2) = position(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> position(X0,X2) = position(X0,X1) ),
inference(negate_conjecture,[status(cth)],[lemma_6]) ).
cnf(c1,plain,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6]) ).
cnf(c2,plain,
( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_11]) ).
cnf(c14,plain,
organization(sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
position(sK19,sK21) != position(sK19,sK20),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'external$uties'(sK19,X0) = 'external$uties'(sK19,X1),
inference(resolution,[status(thm)],[c2,c14]) ).
cnf(d1,plain,
( ~ organization(sK19)
| position(sK19,X2) = position(sK19,X0)
| 'external$uties'(sK19,X2) != 'external$uties'(sK19,X1) ),
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( position(sK19,X0) = position(sK19,X2)
| 'external$uties'(sK19,X0) != 'external$uties'(sK19,X1) ),
inference(resolution,[status(thm)],[c14,d1]) ).
cnf(d3,plain,
position(sK19,X0) = position(sK19,X1),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n014.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 26 00:09:23 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.40/6.78 % SZS status Theorem for theBenchmark.p
% 9.40/6.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------