%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 08:01:20 AM UTC 2026
% Result : Theorem 11.11s 1.93s
% Output : CNFRefutation 11.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 24 ( 8 ~; 6 |; 4 &)
% ( 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 : 18 ( 0 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_8,axiom,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater('external$uties'(X0,X2),'external$uties'(X0,X1)) ) ).
fof(lemma_4,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(position(X0,X2),position(X0,X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(position(X0,X2),position(X0,X1)) ),
inference(negate_conjecture,[status(cth)],[lemma_4]) ).
cnf(c0,plain,
( greater(position(X0,X1),position(X0,X2))
| ~ greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6]) ).
cnf(c2,plain,
( greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_8]) ).
cnf(c14,plain,
organization(sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
greater(age(sK19,sK21),age(sK19,sK20)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
~ greater(position(sK19,sK21),position(sK19,sK20)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( greater('external$uties'(sK19,sK21),'external$uties'(sK19,sK20))
| ~ organization(sK19) ),
inference(resolution,[status(thm)],[c2,c15]) ).
cnf(d1,plain,
greater('external$uties'(sK19,sK21),'external$uties'(sK19,sK20)),
inference(resolution,[status(thm)],[c14,d0]) ).
cnf(d2,plain,
( greater(position(sK19,sK21),position(sK19,sK20))
| ~ organization(sK19) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
greater(position(sK19,sK21),position(sK19,sK20)),
inference(resolution,[status(thm)],[c14,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c16,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 00:09:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.11/1.93 % SZS status Theorem for theBenchmark.p
% 11.11/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------