%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 06:11:26 AM UTC 2026
% Result : Theorem 20.22s 2.91s
% Output : CNFRefutation 20.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 122 ( 28 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 124 ( 46 ~; 38 |; 24 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_2,plain,
! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& external_ties(X,T0) = external_ties(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
fof(lemma_2_negated,plain,
~ ! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& external_ties(X,T0) = external_ties(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negate_conjecture,[status(cth)],[lemma_2]) ).
cnf(19,plain,
organization(sK1),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l0,plain,
organization(sK1),
inference(instantiation,[status(thm)],[19]) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_4) ).
cnf(11,plain,
( ~ organization(X0)
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_4]) ).
cnf(l1,plain,
( ~ organization(sK1)
| ~ greater_or_equal(position(sK1,sK2),position(sK1,sK3))
| ~ greater(capability(sK1,sK2),capability(sK1,sK3))
| has_immunity(sK1,sK3)
| has_immunity(sK1,sK2)
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(21,plain,
~ has_immunity(sK1,sK3),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l3,plain,
~ has_immunity(sK1,sK3),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
~ has_immunity(sK1,sK2),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l8,plain,
~ has_immunity(sK1,sK2),
inference(instantiation,[status(thm)],[20]) ).
fof(definition_smaller,plain,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('Axioms/MGT001+0.ax',definition_smaller) ).
cnf(6,plain,
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf,[status(esa)],[definition_smaller]) ).
cnf(l211,plain,
( ~ smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(instantiation,[status(thm)],[6]) ).
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(5,plain,
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
cnf(l2,plain,
( position(sK1,sK2) != position(sK1,sK3)
| greater_or_equal(position(sK1,sK2),position(sK1,sK3)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(meaning_postulate_greater_strict,plain,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
cnf(8,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf,[status(esa)],[meaning_postulate_greater_strict]) ).
cnf(l217,plain,
( ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l18,plain,
( ~ smaller(capability(sK1,sK3),capability(sK1,sK2))
| greater(capability(sK1,sK2),capability(sK1,sK3)) ),
inference(instantiation,[status(thm)],[6]) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
cnf(15,plain,
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_5]) ).
cnf(l25,plain,
( ~ organization(sK1)
| ~ smaller_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| smaller(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(instantiation,[status(thm)],[15]) ).
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(l90,plain,
( stock_of_knowledge(sK1,sK3) != stock_of_knowledge(sK1,sK2)
| smaller_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
cnf(l164,plain,
( ~ greater_or_equal(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| hazard_of_mortality(sK1,sK3) = hazard_of_mortality(sK1,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(23,plain,
greater(internal_friction(sK1,sK3),internal_friction(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l55,plain,
greater(internal_friction(sK1,sK3),internal_friction(sK1,sK2)),
inference(instantiation,[status(thm)],[23]) ).
cnf(25,plain,
~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l171,plain,
~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)),
inference(instantiation,[status(thm)],[25]) ).
cnf(4,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
cnf(l188,plain,
( ~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| greater_or_equal(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(22,plain,
stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l93,plain,
stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2),
inference(instantiation,[status(thm)],[22]) ).
cnf(l189,plain,
( ~ smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
| greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
inference(instantiation,[status(thm)],[6]) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
cnf(18,plain,
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
inference(cnf,[status(esa)],[assumption_6]) ).
cnf(l161,plain,
( ~ organization(sK1)
| external_ties(sK1,sK2) != external_ties(sK1,sK3)
| position(sK1,sK2) = position(sK1,sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(24,plain,
external_ties(sK1,sK2) = external_ties(sK1,sK3),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l169,plain,
external_ties(sK1,sK2) = external_ties(sK1,sK3),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l8,l211,l2,l217,l18,l25,l90,l164,l55,l171,l188,l93,l189,l161,l169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:10:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 2
% 0.08/0.36 % launching worker at depth: 3
% 0.08/0.36 % launching worker at depth: 4
% 0.08/0.36 % launching worker at depth: 5
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 8
% 0.08/0.36 % launching worker at depth: 9
% 0.08/0.37 % launching worker at depth: 10
% 1.86/0.65 % launching worker at depth: 11
% 20.22/2.91 % SZS status Theorem for theBenchmark
% 20.22/2.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------