%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT008+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 : n009.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 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 28 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 126 ( 44 ~; 41 |; 36 &)
% ( 0 <=>; 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(t8_FOL,plain,
! [X,Y,C,P1,P2,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)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL) ).
fof(t8_FOL_negated,plain,
~ ! [X,Y,C,P1,P2,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)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(P2,P1) ),
inference(negate_conjecture,[status(cth)],[t8_FOL]) ).
cnf(3,plain,
organization(sK2,sK9),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l0,plain,
organization(sK2,sK9),
inference(instantiation,[status(thm)],[3]) ).
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(1,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(l1,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)],[1]) ).
cnf(7,plain,
class(sK2,sK4,sK9),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l2,plain,
class(sK2,sK4,sK9),
inference(instantiation,[status(thm)],[7]) ).
cnf(11,plain,
size(sK2,sK7,sK9),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l3,plain,
size(sK2,sK7,sK9),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
class(sK3,sK4,sK10),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l7,plain,
class(sK3,sK4,sK10),
inference(instantiation,[status(thm)],[8]) ).
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(l5,plain,
( ~ organization(sK2,sK9)
| inertia(sK2,sK1(sK2,sK9),sK9) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
organization(sK3,sK10),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l21,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[4]) ).
cnf(l10,plain,
( ~ organization(sK3,sK10)
| inertia(sK3,sK1(sK3,sK10),sK10) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
size(sK3,sK8,sK10),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l22,plain,
size(sK3,sK8,sK10),
inference(instantiation,[status(thm)],[12]) ).
cnf(l23,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[4]) ).
fof(t1_FOL,plain,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& greater(I2,I1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
cnf(2,plain,
( ~ reorganization_free(X0,X1,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ survival_chance(X0,X4,X1)
| ~ survival_chance(X2,X5,X3)
| ~ greater(X6,X7)
| ~ organization(X0,X1)
| ~ organization(X2,X3)
| ~ inertia(X0,X7,X1)
| ~ inertia(X2,X6,X3)
| greater(X5,X4) ),
inference(cnf,[status(esa)],[t1_FOL]) ).
cnf(l4,plain,
( ~ reorganization_free(sK2,sK9,sK9)
| ~ reorganization_free(sK3,sK10,sK10)
| ~ survival_chance(sK2,sK5,sK9)
| ~ survival_chance(sK3,sK6,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(5,plain,
reorganization_free(sK2,sK9,sK9),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l12,plain,
reorganization_free(sK2,sK9,sK9),
inference(instantiation,[status(thm)],[5]) ).
cnf(l8,plain,
( ~ organization(sK3,sK10)
| inertia(sK3,sK1(sK3,sK10),sK10) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
reorganization_free(sK3,sK10,sK10),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l11,plain,
reorganization_free(sK3,sK10,sK10),
inference(instantiation,[status(thm)],[6]) ).
cnf(l34,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[4]) ).
cnf(10,plain,
survival_chance(sK3,sK6,sK10),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l6,plain,
survival_chance(sK3,sK6,sK10),
inference(instantiation,[status(thm)],[10]) ).
cnf(l32,plain,
organization(sK3,sK10),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
greater(sK8,sK7),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l14,plain,
greater(sK8,sK7),
inference(instantiation,[status(thm)],[13]) ).
cnf(14,plain,
~ greater(sK6,sK5),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l13,plain,
~ greater(sK6,sK5),
inference(instantiation,[status(thm)],[14]) ).
cnf(l9,plain,
( ~ organization(sK2,sK9)
| inertia(sK2,sK1(sK2,sK9),sK9) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
survival_chance(sK2,sK5,sK9),
inference(cnf,[status(esa)],[t8_FOL_negated]) ).
cnf(l17,plain,
survival_chance(sK2,sK5,sK9),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l7,l5,l21,l10,l22,l23,l4,l12,l8,l11,l34,l6,l32,l14,l13,l9,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT008+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
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 11:45:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 8
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 7
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: % SZS status Theorem for theBenchmark
% 0.09/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------