%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT003+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 : n017.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 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 111 ( 42 ~; 39 |; 24 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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(t3_FOL,plain,
! [X,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& greater(T2,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL) ).
fof(t3_FOL_negated,plain,
~ ! [X,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& greater(T2,T1) )
=> greater(P2,P1) ),
inference(negate_conjecture,[status(cth)],[t3_FOL]) ).
cnf(5,plain,
organization(sK2,sK5),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l0,plain,
organization(sK2,sK5),
inference(instantiation,[status(thm)],[5]) ).
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(3,plain,
( ~ organization(X0,X1)
| ~ organization(X2,X3)
| ~ inertia(X0,X4,X1)
| ~ inertia(X2,X5,X3)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(X2,X7,X3)
| ~ greater(X5,X4)
| ~ reorganization_free(X0,X1,X1)
| ~ reorganization_free(X2,X3,X3)
| greater(X7,X6) ),
inference(cnf,[status(esa)],[t1_FOL]) ).
cnf(l1,plain,
( ~ organization(sK2,sK5)
| ~ organization(sK2,sK6)
| ~ inertia(sK2,sK1(sK2,sK5),sK5)
| ~ inertia(sK2,sK1(sK2,sK6),sK6)
| ~ survival_chance(sK2,sK3,sK5)
| ~ survival_chance(sK2,sK4,sK6)
| ~ greater(sK1(sK2,sK6),sK1(sK2,sK5))
| ~ reorganization_free(sK2,sK5,sK5)
| ~ reorganization_free(sK2,sK6,sK6)
| greater(sK4,sK3) ),
inference(instantiation,[status(thm)],[3]) ).
fof(mp5,plain,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
cnf(2,plain,
( ~ organization(X0,X1)
| inertia(X0,sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[mp5]) ).
cnf(l3,plain,
( ~ organization(sK2,sK6)
| inertia(sK2,sK1(sK2,sK6),sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
organization(sK2,sK6),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l28,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[6]) ).
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/sandbox2/benchmark/theBenchmark.p',t2_FOL) ).
cnf(4,plain,
( ~ organization(X0,X1)
| ~ organization(X0,X2)
| ~ inertia(X0,X3,X1)
| ~ inertia(X0,X4,X2)
| ~ greater(X2,X1)
| ~ reorganization_free(X0,X1,X2)
| greater(X4,X3) ),
inference(cnf,[status(esa)],[t2_FOL]) ).
cnf(l5,plain,
( ~ organization(sK2,sK5)
| ~ organization(sK2,sK6)
| ~ inertia(sK2,sK1(sK2,sK5),sK5)
| ~ inertia(sK2,sK1(sK2,sK6),sK6)
| ~ greater(sK6,sK5)
| ~ reorganization_free(sK2,sK5,sK6)
| greater(sK1(sK2,sK6),sK1(sK2,sK5)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l11,plain,
( ~ organization(sK2,sK6)
| inertia(sK2,sK1(sK2,sK6),sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
( ~ organization(sK2,sK5)
| inertia(sK2,sK1(sK2,sK5),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
fof(mp4,plain,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4) ).
cnf(0,plain,
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X1,X1) ),
inference(cnf,[status(esa)],[mp4]) ).
cnf(l2,plain,
( ~ reorganization_free(sK2,sK5,sK6)
| reorganization_free(sK2,sK5,sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
survival_chance(sK2,sK3,sK5),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l22,plain,
survival_chance(sK2,sK3,sK5),
inference(instantiation,[status(thm)],[8]) ).
cnf(l30,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[6]) ).
cnf(11,plain,
~ greater(sK4,sK3),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l4,plain,
~ greater(sK4,sK3),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
survival_chance(sK2,sK4,sK6),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l9,plain,
survival_chance(sK2,sK4,sK6),
inference(instantiation,[status(thm)],[9]) ).
cnf(l13,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X2,X2) ),
inference(cnf,[status(esa)],[mp4]) ).
cnf(l6,plain,
( ~ reorganization_free(sK2,sK5,sK6)
| reorganization_free(sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
organization(sK2,sK6),
inference(instantiation,[status(thm)],[6]) ).
cnf(10,plain,
greater(sK6,sK5),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l18,plain,
greater(sK6,sK5),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
reorganization_free(sK2,sK5,sK6),
inference(cnf,[status(esa)],[t3_FOL_negated]) ).
cnf(l10,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(l7,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(l17,plain,
reorganization_free(sK2,sK5,sK6),
inference(instantiation,[status(thm)],[7]) ).
cnf(l12,plain,
( ~ organization(sK2,sK5)
| inertia(sK2,sK1(sK2,sK5),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l28,l5,l11,l8,l2,l22,l30,l4,l9,l13,l6,l14,l18,l10,l7,l17,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT003+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
% 0.11/0.36 % Computer : n017.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 : Mon Sep 7 11:29:39 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 9
% 0.11/0.37 % launching worker at depth: 10
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------