%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 : Tue Sep 8 06:11:17 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 109 ( 41 ~; 38 |; 23 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 50 ( 2 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_FOL,plain,
! [X,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& inertia(X,I1,T1)
& inertia(X,I2,T2)
& greater(T2,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).
fof(t2_FOL_negated,plain,
~ ! [X,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& inertia(X,I1,T1)
& inertia(X,I2,T2)
& greater(T2,T1) )
=> greater(I2,I1) ),
inference(negate_conjecture,[status(cth)],[t2_FOL]) ).
cnf(6,plain,
organization(sK2,sK5),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l0,plain,
organization(sK2,sK5),
inference(instantiation,[status(thm)],[6]) ).
fof(mp3,plain,
! [X,T] :
( organization(X,T)
=> ? [Rp] : reproducibility(X,Rp,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).
cnf(0,plain,
( ~ organization(X0,X1)
| reproducibility(X0,sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[mp3]) ).
cnf(l1,plain,
( ~ organization(sK2,sK5)
| reproducibility(sK2,sK1(sK2,sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
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/sandbox/benchmark/theBenchmark.p',a3_FOL) ).
cnf(3,plain,
( ~ inertia(X0,X1,X2)
| ~ inertia(X3,X4,X5)
| ~ greater(X6,X7)
| ~ organization(X0,X2)
| ~ organization(X3,X5)
| ~ reproducibility(X0,X7,X2)
| ~ reproducibility(X3,X6,X5)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X3,X5,X5)
| greater(X4,X1) ),
inference(cnf,[status(esa)],[a3_FOL]) ).
cnf(l2,plain,
( ~ inertia(sK2,sK3,sK5)
| ~ inertia(sK2,sK4,sK6)
| ~ greater(sK1(sK2,sK6),sK1(sK2,sK5))
| ~ organization(sK2,sK5)
| ~ organization(sK2,sK6)
| ~ reproducibility(sK2,sK1(sK2,sK5),sK5)
| ~ reproducibility(sK2,sK1(sK2,sK6),sK6)
| ~ reorganization_free(sK2,sK5,sK5)
| ~ reorganization_free(sK2,sK6,sK6)
| greater(sK4,sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l95,plain,
( ~ organization(sK2,sK6)
| reproducibility(sK2,sK1(sK2,sK6),sK6) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
organization(sK2,sK6),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l96,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(l97,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[7]) ).
fof(a4_FOL,plain,
! [X,Rp1,Rp2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(X,Rp2,T2)
& greater(T2,T1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL) ).
cnf(5,plain,
( ~ greater(X0,X1)
| ~ organization(X2,X1)
| ~ organization(X2,X0)
| ~ reproducibility(X2,X3,X1)
| ~ reproducibility(X2,X4,X0)
| ~ reorganization_free(X2,X1,X0)
| greater(X4,X3) ),
inference(cnf,[status(esa)],[a4_FOL]) ).
cnf(l3,plain,
( ~ greater(sK6,sK5)
| ~ organization(sK2,sK5)
| ~ organization(sK2,sK6)
| ~ reproducibility(sK2,sK1(sK2,sK5),sK5)
| ~ reproducibility(sK2,sK1(sK2,sK6),sK6)
| ~ reorganization_free(sK2,sK5,sK6)
| greater(sK1(sK2,sK6),sK1(sK2,sK5)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(12,plain,
~ greater(sK4,sK3),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l17,plain,
~ greater(sK4,sK3),
inference(instantiation,[status(thm)],[12]) ).
fof(mp4,plain,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4) ).
cnf(1,plain,
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X1,X1) ),
inference(cnf,[status(esa)],[mp4]) ).
cnf(l10,plain,
( ~ reorganization_free(sK2,sK5,sK6)
| reorganization_free(sK2,sK5,sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
reorganization_free(sK2,sK5,sK6),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l13,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[8]) ).
cnf(l5,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[8]) ).
cnf(l16,plain,
( ~ organization(sK2,sK6)
| reproducibility(sK2,sK1(sK2,sK6),sK6) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l110,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(11,plain,
greater(sK6,sK5),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l11,plain,
greater(sK6,sK5),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
inertia(sK2,sK4,sK6),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l6,plain,
inertia(sK2,sK4,sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X2,X2) ),
inference(cnf,[status(esa)],[mp4]) ).
cnf(l8,plain,
( ~ reorganization_free(sK2,sK5,sK6)
| reorganization_free(sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l23,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
inertia(sK2,sK3,sK5),
inference(cnf,[status(esa)],[t2_FOL_negated]) ).
cnf(l4,plain,
inertia(sK2,sK3,sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l95,l96,l97,l3,l17,l10,l13,l5,l16,l110,l11,l6,l8,l23,l9,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 11:32:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % launching worker at depth: 1
% 0.11/0.38 % launching worker at depth: 6
% 0.11/0.38 % launching worker at depth: 3
% 0.11/0.38 % launching worker at depth: 4
% 0.11/0.38 % launching worker at depth: 5
% 0.11/0.38 % launching worker at depth: 2
% 0.11/0.38 % launching worker at depth: 7
% 0.11/0.38 % launching worker at depth: 8
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.39 % launching worker at depth: 11
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------