%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT009+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 : Tue Sep 8 06:11:19 AM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 28 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 124 ( 43 ~; 40 |; 35 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t9_FOL,plain,
! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& class(X,C,T1)
& class(Y,C,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL) ).
fof(t9_FOL_negated,plain,
~ ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& class(X,C,T1)
& class(Y,C,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(Rp2,Rp1) ),
inference(negate_conjecture,[status(cth)],[t9_FOL]) ).
cnf(4,plain,
organization(sK2,sK9),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l0,plain,
organization(sK2,sK9),
inference(instantiation,[status(thm)],[4]) ).
fof(mp5,plain,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
cnf(0,plain,
( ~ organization(X0,X1)
| inertia(X0,sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[mp5]) ).
cnf(l1,plain,
( ~ organization(sK2,sK9)
| inertia(sK2,sK1(sK2,sK9),sK9) ),
inference(instantiation,[status(thm)],[0]) ).
fof(a5_FOL,plain,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& class(X,C,T1)
& class(Y,C,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& greater(S2,S1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL) ).
cnf(3,plain,
( ~ class(X0,X1,X2)
| ~ class(X3,X1,X4)
| ~ size(X0,X5,X2)
| ~ size(X3,X6,X4)
| ~ greater(X6,X5)
| ~ organization(X0,X2)
| ~ organization(X3,X4)
| ~ inertia(X0,X7,X2)
| ~ inertia(X3,X8,X4)
| greater(X8,X7) ),
inference(cnf,[status(esa)],[a5_FOL]) ).
cnf(l2,plain,
( ~ class(sK2,sK4,sK9)
| ~ class(sK3,sK4,sK10)
| ~ size(sK2,sK7,sK9)
| ~ size(sK3,sK8,sK10)
| ~ greater(sK8,sK7)
| ~ organization(sK2,sK9)
| ~ organization(sK3,sK10)
| ~ inertia(sK2,sK1(sK2,sK9),sK9)
| ~ inertia(sK3,sK1(sK3,sK10),sK10)
| greater(sK1(sK3,sK10),sK1(sK2,sK9)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l49,plain,
( ~ organization(sK3,sK10)
| inertia(sK3,sK1(sK3,sK10),sK10) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
class(sK2,sK4,sK9),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l4,plain,
class(sK2,sK4,sK9),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
organization(sK3,sK10),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l51,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[5]) ).
cnf(l50,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
class(sK3,sK4,sK10),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l11,plain,
class(sK3,sK4,sK10),
inference(instantiation,[status(thm)],[9]) ).
cnf(13,plain,
size(sK3,sK8,sK10),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l5,plain,
size(sK3,sK8,sK10),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
size(sK2,sK7,sK9),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l3,plain,
size(sK2,sK7,sK9),
inference(instantiation,[status(thm)],[12]) ).
fof(a3_FOL,plain,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2) )
=> ( greater(Rp2,Rp1)
<=> greater(I2,I1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).
cnf(2,plain,
( ~ reproducibility(X0,X1,X2)
| ~ reproducibility(X3,X4,X5)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X3,X5,X5)
| ~ greater(X6,X7)
| ~ organization(X0,X2)
| ~ organization(X3,X5)
| ~ inertia(X0,X7,X2)
| ~ inertia(X3,X6,X5)
| greater(X4,X1) ),
inference(cnf,[status(esa)],[a3_FOL]) ).
cnf(l6,plain,
( ~ reproducibility(sK2,sK5,sK9)
| ~ reproducibility(sK3,sK6,sK10)
| ~ reorganization_free(sK2,sK9,sK9)
| ~ reorganization_free(sK3,sK10,sK10)
| ~ greater(sK1(sK3,sK10),sK1(sK2,sK9))
| ~ organization(sK2,sK9)
| ~ organization(sK3,sK10)
| ~ inertia(sK2,sK1(sK2,sK9),sK9)
| ~ inertia(sK3,sK1(sK3,sK10),sK10)
| greater(sK6,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
reproducibility(sK2,sK5,sK9),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l19,plain,
reproducibility(sK2,sK5,sK9),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
reproducibility(sK3,sK6,sK10),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l7,plain,
reproducibility(sK3,sK6,sK10),
inference(instantiation,[status(thm)],[11]) ).
cnf(15,plain,
~ greater(sK6,sK5),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l22,plain,
~ greater(sK6,sK5),
inference(instantiation,[status(thm)],[15]) ).
cnf(l15,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[5]) ).
cnf(l23,plain,
( ~ organization(sK3,sK10)
| inertia(sK3,sK1(sK3,sK10),sK10) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
greater(sK8,sK7),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l9,plain,
greater(sK8,sK7),
inference(instantiation,[status(thm)],[14]) ).
cnf(7,plain,
reorganization_free(sK3,sK10,sK10),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l8,plain,
reorganization_free(sK3,sK10,sK10),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
reorganization_free(sK2,sK9,sK9),
inference(cnf,[status(esa)],[t9_FOL_negated]) ).
cnf(l14,plain,
reorganization_free(sK2,sK9,sK9),
inference(instantiation,[status(thm)],[6]) ).
cnf(l52,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l49,l4,l51,l50,l11,l5,l3,l6,l19,l7,l22,l15,l23,l9,l8,l14,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT009+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n029.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 11:48:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % launching worker at depth: 1
% 0.10/0.36 % launching worker at depth: 4
% 0.10/0.36 % launching worker at depth: 6
% 0.10/0.36 % launching worker at depth: 7
% 0.10/0.36 % launching worker at depth: 5
% 0.10/0.36 % launching worker at depth: 2
% 0.10/0.36 % launching worker at depth: 3
% 0.10/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.14/0.38 % launching worker at depth: 11
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------