%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT057+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 : n001.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 06:11:29 AM UTC 2026
% Result : Theorem 166.77s 21.49s
% Output : CNFRefutation 166.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 131 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 130 ( 53 ~; 47 |; 20 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_6,plain,
! [X,T0,T1,T2] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6) ).
fof(theorem_6_negated,plain,
~ ! [X,T0,T1,T2] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ),
inference(negate_conjecture,[status(cth)],[theorem_6]) ).
cnf(20,plain,
organization(sK2),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l0,plain,
organization(sK2),
inference(instantiation,[status(thm)],[20]) ).
fof(assumption_2,plain,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
cnf(18,plain,
( ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf,[status(esa)],[assumption_2]) ).
cnf(l1,plain,
( ~ has_immunity(sK2,sK4)
| ~ has_immunity(sK2,sK3)
| ~ organization(sK2)
| hazard_of_mortality(sK2,sK4) = hazard_of_mortality(sK2,sK3) ),
inference(instantiation,[status(thm)],[18]) ).
fof(definition_1,plain,
! [X] :
( has_endowment(X)
<=> ! [T] :
( organization(X)
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
cnf(12,plain,
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
inference(cnf,[status(esa)],[definition_1]) ).
cnf(l2,plain,
( ~ smaller_or_equal(age(sK2,sK4),eta)
| ~ has_endowment(sK2)
| has_immunity(sK2,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l102,plain,
( ~ smaller_or_equal(age(sK2,sK3),eta)
| ~ has_endowment(sK2)
| has_immunity(sK2,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l7,plain,
( ~ has_immunity(sK2,sK5)
| ~ has_immunity(sK2,sK4)
| ~ organization(sK2)
| hazard_of_mortality(sK2,sK5) = hazard_of_mortality(sK2,sK4) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(23,plain,
smaller_or_equal(age(sK2,sK4),eta),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l173,plain,
smaller_or_equal(age(sK2,sK4),eta),
inference(instantiation,[status(thm)],[23]) ).
cnf(21,plain,
has_endowment(sK2),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l4,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(l103,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(l17,plain,
( ~ smaller_or_equal(age(sK2,sK4),eta)
| ~ has_endowment(sK2)
| has_immunity(sK2,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l54,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
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(1,plain,
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).
cnf(l976,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(instantiation,[status(thm)],[1]) ).
fof(assumption_3,plain,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
cnf(19,plain,
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2) ),
inference(cnf,[status(esa)],[assumption_3]) ).
cnf(l16,plain,
( ~ has_immunity(sK2,sK4)
| ~ organization(sK2)
| greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK4))
| has_immunity(sK2,sK5) ),
inference(instantiation,[status(thm)],[19]) ).
fof(definition_smaller,plain,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('Axioms/MGT001+0.ax',definition_smaller) ).
cnf(7,plain,
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf,[status(esa)],[definition_smaller]) ).
cnf(l1006,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l22,plain,
( ~ smaller_or_equal(age(sK2,sK4),eta)
| ~ has_endowment(sK2)
| has_immunity(sK2,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(26,plain,
( ~ greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK4))
| hazard_of_mortality(sK2,sK4) != hazard_of_mortality(sK2,sK3) ),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l32,plain,
( ~ greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK4))
| hazard_of_mortality(sK2,sK4) != hazard_of_mortality(sK2,sK3) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(25,plain,
greater(eta,zero),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l1008,plain,
greater(eta,zero),
inference(instantiation,[status(thm)],[25]) ).
cnf(l24,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
age(sK2,sK3) = zero,
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l124,plain,
age(sK2,sK3) = zero,
inference(instantiation,[status(thm)],[22]) ).
cnf(l44,plain,
smaller_or_equal(age(sK2,sK4),eta),
inference(instantiation,[status(thm)],[23]) ).
cnf(l51,plain,
smaller_or_equal(age(sK2,sK4),eta),
inference(instantiation,[status(thm)],[23]) ).
fof(meaning_postulate_greater_transitive,plain,
! [X,Y,Z] :
( ( greater(X,Y)
& greater(Y,Z) )
=> greater(X,Z) ),
file('Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
cnf(9,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf,[status(esa)],[meaning_postulate_greater_transitive]) ).
cnf(l479,plain,
( ~ greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK3))
| ~ greater(hazard_of_mortality(sK2,sK3),hazard_of_mortality(sK2,sK5))
| greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK5)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l168,plain,
( ~ has_immunity(sK2,sK4)
| ~ organization(sK2)
| greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK4))
| has_immunity(sK2,sK5) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l674,plain,
( ~ smaller_or_equal(age(sK2,sK4),eta)
| ~ has_endowment(sK2)
| has_immunity(sK2,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l686,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
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(l480,plain,
( ~ greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK5))
| ~ greater(hazard_of_mortality(sK2,sK5),hazard_of_mortality(sK2,sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(13,plain,
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf,[status(esa)],[definition_1]) ).
cnf(l702,plain,
( ~ greater(age(sK2,sK5),eta)
| ~ has_immunity(sK2,sK5)
| ~ has_endowment(sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l680,plain,
smaller_or_equal(age(sK2,sK4),eta),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
greater(age(sK2,sK5),eta),
inference(cnf,[status(esa)],[theorem_6_negated]) ).
cnf(l793,plain,
greater(age(sK2,sK5),eta),
inference(instantiation,[status(thm)],[24]) ).
cnf(l787,plain,
has_endowment(sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l102,l7,l173,l4,l103,l17,l54,l976,l16,l1006,l22,l32,l1008,l24,l124,l44,l51,l479,l168,l674,l686,l480,l702,l680,l793,l787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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 13:34:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 8
% 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: 3
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.38 % launching worker at depth: 10
% 0.83/0.52 % launching worker at depth: 11
% 26.38/3.71 % launching worker at depth: 12
% 166.77/21.49 % SZS status Theorem for theBenchmark
% 166.77/21.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------