%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT046+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 06:11:27 AM UTC 2026
% Result : Theorem 184.97s 23.63s
% Output : CNFRefutation 184.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 122 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 129 ( 48 ~; 42 |; 20 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 3 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_1,plain,
! [X,T0,T] :
( ( organization(X)
& ~ has_endowment(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_1) ).
fof(theorem_1_negated,plain,
~ ! [X,T0,T] :
( ( organization(X)
& ~ has_endowment(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negate_conjecture,[status(cth)],[theorem_1]) ).
cnf(23,plain,
organization(sK1),
inference(cnf,[status(esa)],[theorem_1_negated]) ).
cnf(l0,plain,
organization(sK1),
inference(instantiation,[status(thm)],[23]) ).
fof(assumption_1,plain,
! [X,T] :
( ( organization(X)
& ~ has_endowment(X) )
=> ~ has_immunity(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
cnf(11,plain,
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_endowment(X0) ),
inference(cnf,[status(esa)],[assumption_1]) ).
cnf(l1,plain,
( ~ organization(sK1)
| ~ has_immunity(sK1,sK2)
| has_endowment(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(24,plain,
~ has_endowment(sK1),
inference(cnf,[status(esa)],[theorem_1_negated]) ).
cnf(l7,plain,
~ has_endowment(sK1),
inference(instantiation,[status(thm)],[24]) ).
fof(assumption_4,plain,
! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> ( ( ( greater(capability(X,T),capability(X,T0))
& greater_or_equal(position(X,T),position(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(capability(X,T),capability(X,T0))
& greater(position(X,T),position(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( capability(X,T) = capability(X,T0)
& position(X,T) = position(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
cnf(13,plain,
( ~ organization(X0)
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
| ~ greater(position(X0,X1),position(X0,X2))
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X2)
| has_immunity(X0,X1) ),
inference(cnf,[status(esa)],[assumption_4]) ).
cnf(l3,plain,
( ~ organization(sK1)
| ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
| ~ greater(position(sK1,sK3),position(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| has_immunity(sK1,sK2)
| has_immunity(sK1,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(26,plain,
~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)),
inference(cnf,[status(esa)],[theorem_1_negated]) ).
cnf(l197,plain,
~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)),
inference(instantiation,[status(thm)],[26]) ).
fof(definition_greater_or_equal,plain,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ),
file('Axioms/MGT001+0.ax',definition_greater_or_equal) ).
cnf(4,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
cnf(l10,plain,
( ~ greater(capability(sK1,sK3),capability(sK1,sK2))
| greater_or_equal(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(assumption_6,plain,
! [X,T0,T] :
( organization(X)
=> ( ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) )
& ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
cnf(18,plain,
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_6]) ).
cnf(l12,plain,
( ~ organization(sK1)
| ~ greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| greater(position(sK1,sK3),position(sK1,sK2)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l438,plain,
( ~ organization(sK1)
| ~ has_immunity(sK1,sK3)
| has_endowment(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l447,plain,
~ has_endowment(sK1),
inference(instantiation,[status(thm)],[24]) ).
fof(assumption_8,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8) ).
cnf(21,plain,
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_8]) ).
cnf(l17,plain,
( ~ organization(sK1)
| ~ greater(age(sK1,sK3),age(sK1,sK2))
| greater(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(assumption_5,plain,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& internal_friction(X,T) = internal_friction(X,T0) )
=> capability(X,T) = capability(X,T0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
cnf(15,plain,
( ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_5]) ).
cnf(l30,plain,
( ~ organization(sK1)
| ~ smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(assumption_7,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).
cnf(20,plain,
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_7]) ).
cnf(l149,plain,
( ~ organization(sK1)
| ~ greater(age(sK1,sK3),age(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(25,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(cnf,[status(esa)],[theorem_1_negated]) ).
cnf(l150,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(instantiation,[status(thm)],[25]) ).
fof(definition_smaller_or_equal,plain,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ),
file('Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(2,plain,
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).
cnf(l41,plain,
( internal_friction(sK1,sK3) != internal_friction(sK1,sK2)
| smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(instantiation,[status(thm)],[25]) ).
fof(assumption_9,plain,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).
cnf(22,plain,
( ~ organization(X0)
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
inference(cnf,[status(esa)],[assumption_9]) ).
cnf(l114,plain,
( ~ organization(sK1)
| internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l3,l197,l10,l12,l438,l447,l17,l30,l149,l150,l41,l18,l114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT046+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n027.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 13:13:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.48 % launching worker at depth: 11
% 17.74/2.61 % launching worker at depth: 12
% 184.97/23.63 % SZS status Theorem for theBenchmark
% 184.97/23.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------