%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT005+2 : TPTP v9.3.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 06:11:18 AM UTC 2026
% Result : Theorem 98.21s 12.76s
% Output : CNFRefutation 98.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 67 unt; 0 def)
% Number of atoms : 250 ( 14 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 256 ( 90 ~; 90 |; 66 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 82 ( 2 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_plus_FOL,plain,
! [X,Y,Re,C,P,P1,P2,C1,C2,T,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& organization(X,Tc)
& organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& survival_chance(X,P,Ta)
& survival_chance(Y,P,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Re,Ta)
& reorganization_type(Y,Re,Ta)
& reorganization_free(X,Tb,Tc)
& survival_chance(X,P1,T)
& survival_chance(Y,P2,T)
& complexity(X,C1,Ta)
& complexity(Y,C2,Ta)
& greater(C2,C1)
& ( T = Tc
=> greater(P1,P2) ) )
=> ( T = Tb
=> ( greater(P1,P2)
| P1 = P2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL) ).
fof(t5_plus_FOL_negated,plain,
~ ! [X,Y,Re,C,P,P1,P2,C1,C2,T,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& organization(X,Tc)
& organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& survival_chance(X,P,Ta)
& survival_chance(Y,P,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Re,Ta)
& reorganization_type(Y,Re,Ta)
& reorganization_free(X,Tb,Tc)
& survival_chance(X,P1,T)
& survival_chance(Y,P2,T)
& complexity(X,C1,Ta)
& complexity(Y,C2,Ta)
& greater(C2,C1)
& ( T = Tc
=> greater(P1,P2) ) )
=> ( T = Tb
=> ( greater(P1,P2)
| P1 = P2 ) ) ),
inference(negate_conjecture,[status(cth)],[t5_plus_FOL]) ).
cnf(16,plain,
organization(sK5,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l0,plain,
organization(sK5,sK15),
inference(instantiation,[status(thm)],[16]) ).
fof(a11_FOL,plain,
! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& organization(X,Tb)
& organization(Y,Tb)
& class(X,C,Ta)
& class(Y,C,Ta)
& survival_chance(X,P,Ta)
& survival_chance(Y,P,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Re,Ta)
& reorganization_type(Y,Re,Ta)
& survival_chance(X,P1,Tb)
& survival_chance(Y,P2,Tb)
& complexity(X,C1,Ta)
& complexity(Y,C2,Ta)
& greater(C2,C1) )
=> ( greater(P1,P2)
| P1 = P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL) ).
cnf(10,plain,
( ~ reorganization_type(X0,X1,X2)
| ~ reorganization_type(X3,X1,X2)
| ~ complexity(X0,X4,X2)
| ~ complexity(X3,X5,X2)
| ~ class(X0,X6,X2)
| ~ class(X3,X6,X2)
| ~ survival_chance(X0,X7,X2)
| ~ survival_chance(X0,X8,X9)
| ~ survival_chance(X3,X7,X2)
| ~ survival_chance(X3,X10,X9)
| ~ organization(X0,X2)
| ~ organization(X0,X9)
| ~ organization(X3,X2)
| ~ organization(X3,X9)
| ~ greater(X5,X4)
| ~ reorganization(X0,X2,X9)
| ~ reorganization(X3,X2,X11)
| greater(X8,X10)
| X8 = X10 ),
inference(cnf,[status(esa)],[a11_FOL]) ).
cnf(l1,plain,
( ~ reorganization_type(sK5,sK7,sK15)
| ~ reorganization_type(sK6,sK7,sK15)
| ~ complexity(sK5,sK12,sK15)
| ~ complexity(sK6,sK13,sK15)
| ~ class(sK5,sK8,sK15)
| ~ class(sK6,sK8,sK15)
| ~ survival_chance(sK5,sK9,sK15)
| ~ survival_chance(sK5,sK10,sK16)
| ~ survival_chance(sK6,sK9,sK15)
| ~ survival_chance(sK6,sK11,sK16)
| ~ organization(sK5,sK15)
| ~ organization(sK5,sK16)
| ~ organization(sK6,sK15)
| ~ organization(sK6,sK16)
| ~ greater(sK13,sK12)
| ~ reorganization(sK5,sK15,sK16)
| ~ reorganization(sK6,sK15,sK17)
| greater(sK10,sK11)
| sK10 = sK11 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(21,plain,
class(sK6,sK8,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l11,plain,
class(sK6,sK8,sK15),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
class(sK5,sK8,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l31,plain,
class(sK5,sK8,sK15),
inference(instantiation,[status(thm)],[20]) ).
cnf(25,plain,
reorganization(sK6,sK15,sK17),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l2,plain,
reorganization(sK6,sK15,sK17),
inference(instantiation,[status(thm)],[25]) ).
fof(mp13,plain,
! [X,T,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& greater(T,T1)
& greater(T2,T) )
=> organization(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13) ).
cnf(5,plain,
( ~ organization(X0,X1)
| ~ organization(X0,X2)
| ~ greater(X3,X1)
| ~ greater(X2,X3)
| organization(X0,X3) ),
inference(cnf,[status(esa)],[mp13]) ).
cnf(l38,plain,
( ~ organization(sK5,sK15)
| ~ organization(sK5,sK17)
| ~ greater(sK16,sK15)
| ~ greater(sK17,sK16)
| organization(sK5,sK16) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(36,plain,
~ greater(sK10,sK11),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l54,plain,
~ greater(sK10,sK11),
inference(instantiation,[status(thm)],[36]) ).
cnf(32,plain,
complexity(sK6,sK13,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l30,plain,
complexity(sK6,sK13,sK15),
inference(instantiation,[status(thm)],[32]) ).
cnf(31,plain,
complexity(sK5,sK12,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l4,plain,
complexity(sK5,sK12,sK15),
inference(instantiation,[status(thm)],[31]) ).
cnf(37,plain,
sK10 != sK11,
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l28,plain,
sK10 != sK11,
inference(instantiation,[status(thm)],[37]) ).
cnf(18,plain,
organization(sK5,sK17),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l203,plain,
organization(sK5,sK17),
inference(instantiation,[status(thm)],[18]) ).
cnf(24,plain,
reorganization(sK5,sK15,sK16),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l20,plain,
reorganization(sK5,sK15,sK16),
inference(instantiation,[status(thm)],[24]) ).
fof(mp7,plain,
! [X,Ta,Tb] :
( reorganization(X,Ta,Tb)
=> greater(Tb,Ta) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7) ).
cnf(6,plain,
( ~ reorganization(X0,X1,X2)
| greater(X2,X1) ),
inference(cnf,[status(esa)],[mp7]) ).
cnf(l184,plain,
( ~ reorganization(sK5,sK15,sK16)
| greater(sK16,sK15) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(17,plain,
organization(sK6,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l1987,plain,
organization(sK6,sK15),
inference(instantiation,[status(thm)],[17]) ).
cnf(27,plain,
reorganization_type(sK6,sK7,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l3,plain,
reorganization_type(sK6,sK7,sK15),
inference(instantiation,[status(thm)],[27]) ).
cnf(23,plain,
survival_chance(sK6,sK9,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l39,plain,
survival_chance(sK6,sK9,sK15),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1692,plain,
( ~ organization(sK6,sK15)
| ~ organization(sK6,sK17)
| ~ greater(sK16,sK15)
| ~ greater(sK17,sK16)
| organization(sK6,sK16) ),
inference(instantiation,[status(thm)],[5]) ).
fof(a10_FOL,plain,
! [X,Y,Re,C,C1,C2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Re,Ta)
& reorganization_type(Y,Re,Ta)
& complexity(X,C1,Ta)
& complexity(Y,C2,Ta)
& greater(C2,C1) )
=> greater(Tc,Tb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL) ).
cnf(9,plain,
( ~ reorganization_type(X0,X1,X2)
| ~ reorganization_type(X3,X1,X2)
| ~ complexity(X0,X4,X2)
| ~ complexity(X3,X5,X2)
| ~ class(X0,X6,X2)
| ~ class(X3,X6,X2)
| ~ organization(X0,X2)
| ~ organization(X3,X2)
| ~ organization(X3,X7)
| ~ greater(X5,X4)
| ~ reorganization(X0,X2,X8)
| ~ reorganization(X3,X2,X7)
| greater(X7,X8) ),
inference(cnf,[status(esa)],[a10_FOL]) ).
cnf(l191,plain,
( ~ reorganization_type(sK5,sK7,sK15)
| ~ reorganization_type(sK6,sK7,sK15)
| ~ complexity(sK5,sK12,sK15)
| ~ complexity(sK6,sK13,sK15)
| ~ class(sK5,sK8,sK15)
| ~ class(sK6,sK8,sK15)
| ~ organization(sK5,sK15)
| ~ organization(sK6,sK15)
| ~ organization(sK6,sK17)
| ~ greater(sK13,sK12)
| ~ reorganization(sK5,sK15,sK16)
| ~ reorganization(sK6,sK15,sK17)
| greater(sK17,sK16) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l1708,plain,
class(sK5,sK8,sK15),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1864,plain,
reorganization(sK6,sK15,sK17),
inference(instantiation,[status(thm)],[25]) ).
cnf(19,plain,
organization(sK6,sK17),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l1725,plain,
organization(sK6,sK17),
inference(instantiation,[status(thm)],[19]) ).
cnf(l213,plain,
class(sK6,sK8,sK15),
inference(instantiation,[status(thm)],[21]) ).
cnf(l1875,plain,
( ~ reorganization_type(sK5,sK7,sK15)
| ~ reorganization_type(sK6,sK7,sK15)
| ~ complexity(sK5,sK12,sK15)
| ~ complexity(sK6,sK13,sK15)
| ~ class(sK5,sK8,sK15)
| ~ class(sK6,sK8,sK15)
| ~ organization(sK5,sK15)
| ~ organization(sK6,sK15)
| ~ organization(sK6,sK17)
| ~ greater(sK13,sK12)
| ~ reorganization(sK5,sK15,sK16)
| ~ reorganization(sK6,sK15,sK17)
| greater(sK17,sK16) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(26,plain,
reorganization_type(sK5,sK7,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l1705,plain,
reorganization_type(sK5,sK7,sK15),
inference(instantiation,[status(thm)],[26]) ).
cnf(l1896,plain,
complexity(sK5,sK12,sK15),
inference(instantiation,[status(thm)],[31]) ).
cnf(30,plain,
survival_chance(sK6,sK11,sK14),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l1391,plain,
survival_chance(sK6,sK11,sK14),
inference(instantiation,[status(thm)],[30]) ).
cnf(l1703,plain,
reorganization_type(sK6,sK7,sK15),
inference(instantiation,[status(thm)],[27]) ).
cnf(33,plain,
greater(sK13,sK12),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l10,plain,
greater(sK13,sK12),
inference(instantiation,[status(thm)],[33]) ).
cnf(l1863,plain,
greater(sK13,sK12),
inference(instantiation,[status(thm)],[33]) ).
cnf(l1900,plain,
reorganization(sK6,sK15,sK17),
inference(instantiation,[status(thm)],[25]) ).
cnf(35,plain,
sK14 = sK16,
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l1402,plain,
sK14 = sK16,
inference(instantiation,[status(thm)],[35]) ).
cnf(l188,plain,
reorganization(sK5,sK15,sK16),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1902,plain,
organization(sK6,sK15),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1894,plain,
complexity(sK6,sK13,sK15),
inference(instantiation,[status(thm)],[32]) ).
cnf(l43,plain,
reorganization_type(sK5,sK7,sK15),
inference(instantiation,[status(thm)],[26]) ).
cnf(l1892,plain,
reorganization_type(sK6,sK7,sK15),
inference(instantiation,[status(thm)],[27]) ).
cnf(l208,plain,
complexity(sK5,sK12,sK15),
inference(instantiation,[status(thm)],[31]) ).
cnf(l1882,plain,
reorganization_type(sK5,sK7,sK15),
inference(instantiation,[status(thm)],[26]) ).
cnf(l1918,plain,
reorganization(sK5,sK15,sK16),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1888,plain,
class(sK5,sK8,sK15),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1898,plain,
greater(sK13,sK12),
inference(instantiation,[status(thm)],[33]) ).
cnf(l1889,plain,
class(sK6,sK8,sK15),
inference(instantiation,[status(thm)],[21]) ).
cnf(l1890,plain,
organization(sK6,sK17),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1816,plain,
organization(sK6,sK17),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1895,plain,
reorganization(sK5,sK15,sK16),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1704,plain,
organization(sK6,sK15),
inference(instantiation,[status(thm)],[17]) ).
cnf(l35,plain,
sK14 = sK16,
inference(instantiation,[status(thm)],[35]) ).
cnf(29,plain,
survival_chance(sK5,sK10,sK14),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l125,plain,
survival_chance(sK5,sK10,sK14),
inference(instantiation,[status(thm)],[29]) ).
cnf(l216,plain,
complexity(sK6,sK13,sK15),
inference(instantiation,[status(thm)],[32]) ).
cnf(22,plain,
survival_chance(sK5,sK9,sK15),
inference(cnf,[status(esa)],[t5_plus_FOL_negated]) ).
cnf(l73,plain,
survival_chance(sK5,sK9,sK15),
inference(instantiation,[status(thm)],[22]) ).
cnf(l1824,plain,
( ~ reorganization(sK5,sK15,sK16)
| greater(sK16,sK15) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1817,plain,
organization(sK6,sK15),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1903,plain,
reorganization(sK5,sK15,sK16),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l31,l2,l38,l54,l30,l4,l28,l203,l20,l184,l1987,l3,l39,l1692,l191,l1708,l1864,l1725,l213,l1875,l1705,l1896,l1391,l1703,l10,l1863,l1900,l1402,l188,l1902,l1894,l43,l1892,l208,l1882,l1918,l1888,l1898,l1889,l1890,l1816,l1895,l1704,l35,l125,l216,l73,l1824,l1817,l1903]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT005+2 : TPTP v9.3.0. Bugfixed v3.2.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 11:39:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 8
% 0.15/0.38 % launching worker at depth: 9
% 0.15/0.43 % launching worker at depth: 10
% 6.62/1.28 % launching worker at depth: 11
% 98.21/12.76 % SZS status Theorem for theBenchmark
% 98.21/12.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------