%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT002+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:00:57 AM UTC 2026
% Result : Theorem 10.77s 1.92s
% Output : CNFRefutation 10.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 190 ( 85 ~; 75 |; 23 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 2 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp3,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reproducibility(X0,X2,X1) ) ).
fof(mp4,axiom,
! [X0,X1,X2] :
( 'reorganization$ufree'(X0,X1,X2)
=> ( 'reorganization$ufree'(X0,X2,X2)
& 'reorganization$ufree'(X0,X1,X1) ) ) ).
fof(a3_FOL,hypothesis,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( inertia(X1,X7,X3)
& inertia(X0,X6,X2)
& reproducibility(X1,X5,X3)
& reproducibility(X0,X4,X2)
& 'reorganization$ufree'(X1,X3,X3)
& 'reorganization$ufree'(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> ( greater(X5,X4)
<=> greater(X7,X6) ) ) ).
fof(a4_FOL,hypothesis,
! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& reproducibility(X0,X2,X4)
& reproducibility(X0,X1,X3)
& 'reorganization$ufree'(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ) ).
fof(t2_FOL,conjecture,
! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& inertia(X0,X2,X4)
& inertia(X0,X1,X3)
& 'reorganization$ufree'(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& inertia(X0,X2,X4)
& inertia(X0,X1,X3)
& 'reorganization$ufree'(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ),
inference(negate_conjecture,[status(cth)],[t2_FOL]) ).
cnf(c0,plain,
( reproducibility(X0,sK2(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[mp3]) ).
cnf(c1,plain,
( 'reorganization$ufree'(X0,X1,X1)
| ~ 'reorganization$ufree'(X0,X1,X2) ),
inference(clausification,[status(esa)],[mp4]) ).
cnf(c2,plain,
( 'reorganization$ufree'(X0,X2,X2)
| ~ 'reorganization$ufree'(X0,X1,X2) ),
inference(clausification,[status(esa)],[mp4]) ).
cnf(c3,plain,
( ~ organization(X4,X5)
| ~ inertia(X4,X7,X5)
| greater(X6,X7)
| ~ 'reorganization$ufree'(X0,X1,X1)
| ~ reproducibility(X0,X2,X1)
| ~ inertia(X0,X6,X1)
| ~ 'reorganization$ufree'(X4,X5,X5)
| ~ reproducibility(X4,X3,X5)
| ~ greater(X2,X3)
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[a3_FOL]) ).
cnf(c5,plain,
( ~ organization(X0,X3)
| ~ organization(X0,X2)
| greater(X1,X4)
| ~ reproducibility(X0,X4,X3)
| ~ greater(X2,X3)
| ~ 'reorganization$ufree'(X0,X3,X2)
| ~ reproducibility(X0,X1,X2) ),
inference(clausification,[status(esa)],[a4_FOL]) ).
cnf(c6,plain,
organization(sK19,sK22),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
organization(sK19,sK23),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
'reorganization$ufree'(sK19,sK22,sK23),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
inertia(sK19,sK20,sK22),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
inertia(sK19,sK21,sK23),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
greater(sK23,sK22),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
~ greater(sK21,sK20),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ greater(sK23,sK22)
| greater(X0,X1)
| ~ reproducibility(sK19,X1,sK22)
| ~ reproducibility(sK19,X0,sK23)
| ~ organization(sK19,sK22)
| ~ organization(sK19,sK23) ),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(d1,plain,
( ~ greater(sK23,sK22)
| greater(X1,X0)
| ~ reproducibility(sK19,X1,sK23)
| ~ reproducibility(sK19,X0,sK22)
| ~ organization(sK19,sK23) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ greater(sK23,sK22)
| greater(X0,X1)
| ~ reproducibility(sK19,X1,sK22)
| ~ reproducibility(sK19,X0,sK23) ),
inference(resolution,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
( greater(X1,X0)
| ~ reproducibility(sK19,X1,sK23)
| ~ reproducibility(sK19,X0,sK22) ),
inference(resolution,[status(thm)],[c11,d2]) ).
cnf(d4,plain,
( ~ organization(sK19,sK22)
| greater(X0,sK2(sK19,sK22))
| ~ reproducibility(sK19,X0,sK23) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( greater(X0,sK2(sK19,sK22))
| ~ reproducibility(sK19,X0,sK23) ),
inference(resolution,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( ~ greater(X3,X2)
| greater(sK21,X4)
| ~ inertia(X0,X4,X1)
| ~ 'reorganization$ufree'(sK19,sK23,sK23)
| ~ 'reorganization$ufree'(X0,X1,X1)
| ~ reproducibility(sK19,X3,sK23)
| ~ reproducibility(X0,X2,X1)
| ~ organization(sK19,sK23)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(d7,plain,
( greater(sK21,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X4,X1)
| ~ 'reorganization$ufree'(sK19,sK23,sK23)
| ~ 'reorganization$ufree'(X0,X1,X1)
| ~ reproducibility(sK19,X3,sK23)
| ~ reproducibility(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c7,d6]) ).
cnf(d8,plain,
'reorganization$ufree'(sK19,sK23,sK23),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(d9,plain,
( greater(sK21,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X4,X1)
| ~ 'reorganization$ufree'(X0,X1,X1)
| ~ reproducibility(sK19,X3,sK23)
| ~ reproducibility(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( greater(sK21,sK20)
| ~ greater(X1,X0)
| ~ 'reorganization$ufree'(sK19,sK22,sK22)
| ~ reproducibility(sK19,X1,sK23)
| ~ reproducibility(sK19,X0,sK22)
| ~ organization(sK19,sK22) ),
inference(resolution,[status(thm)],[d9,c9]) ).
cnf(d11,plain,
( greater(sK21,sK20)
| ~ greater(X0,X1)
| ~ 'reorganization$ufree'(sK19,sK22,sK22)
| ~ reproducibility(sK19,X1,sK22)
| ~ reproducibility(sK19,X0,sK23) ),
inference(resolution,[status(thm)],[c6,d10]) ).
cnf(d12,plain,
( ~ greater(X1,X0)
| ~ 'reorganization$ufree'(sK19,sK22,sK22)
| ~ reproducibility(sK19,X1,sK23)
| ~ reproducibility(sK19,X0,sK22) ),
inference(resolution,[status(thm)],[c12,d11]) ).
cnf(d13,plain,
'reorganization$ufree'(sK19,sK22,sK22),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(d14,plain,
( ~ greater(X0,X1)
| ~ reproducibility(sK19,X1,sK22)
| ~ reproducibility(sK19,X0,sK23) ),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
( ~ organization(sK19,sK23)
| ~ greater(sK2(sK19,sK23),X0)
| ~ reproducibility(sK19,X0,sK22) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ greater(sK2(sK19,sK23),X0)
| ~ reproducibility(sK19,X0,sK22) ),
inference(resolution,[status(thm)],[c7,d15]) ).
cnf(d17,plain,
( ~ reproducibility(sK19,sK2(sK19,sK23),sK23)
| ~ reproducibility(sK19,sK2(sK19,sK22),sK22) ),
inference(resolution,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
( ~ organization(sK19,sK23)
| ~ reproducibility(sK19,sK2(sK19,sK22),sK22) ),
inference(resolution,[status(thm)],[d17,c0]) ).
cnf(d19,plain,
~ reproducibility(sK19,sK2(sK19,sK22),sK22),
inference(resolution,[status(thm)],[c7,d18]) ).
cnf(d20,plain,
~ organization(sK19,sK22),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[c6,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT002+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n006.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sat Sep 26 00:02:05 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.77/1.92 % SZS status Theorem for theBenchmark.p
% 10.77/1.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------