TSTP Solution File: MGT057+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:56 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 130 ( 41 unt; 0 def)
% Number of atoms : 399 ( 49 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 446 ( 177 ~; 155 |; 90 &)
% ( 15 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 96 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ) ).
fof(definition_1,axiom,
! [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) ) ) ) ).
fof(assumption_2,axiom,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) ).
fof(assumption_3,axiom,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ).
fof(theorem_6,conjecture,
! [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) ) ) ).
fof(subgoal_0,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)) ),
inference(strip,[],[theorem_6]) ).
fof(subgoal_1,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(strip,[],[theorem_6]) ).
fof(negate_0_0,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)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T0,T1,T2,X] :
( ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& age(X,T0) = zero
& greater(age(X,T2),eta)
& greater(eta,zero)
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
& age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta)
& greater(eta,zero)
& has_endowment(skolemFOFtoCNF_X)
& organization(skolemFOFtoCNF_X)
& smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ has_endowment(X)
<=> ( ~ organization(X)
| ? [T] :
( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ? [T] :
( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ has_endowment(X)
<=> ( ~ organization(X)
| ? [T] :
( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ? [T] :
( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [T,X] :
( ( ~ has_endowment(X)
| organization(X) )
& ( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) )
& ( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ( ~ has_immunity(X,skolemFOFtoCNF_T(X))
| ~ organization(X)
| greater(age(X,skolemFOFtoCNF_T_1(X)),eta)
| has_endowment(X) )
& ( ~ has_immunity(X,skolemFOFtoCNF_T(X))
| ~ organization(X)
| has_endowment(X)
| has_immunity(X,skolemFOFtoCNF_T_1(X)) )
& ( ~ organization(X)
| greater(age(X,skolemFOFtoCNF_T_1(X)),eta)
| has_endowment(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T(X)),eta) )
& ( ~ organization(X)
| has_endowment(X)
| has_immunity(X,skolemFOFtoCNF_T_1(X))
| smaller_or_equal(age(X,skolemFOFtoCNF_T(X)),eta) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
has_endowment(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( X != Y
| smaller_or_equal(X,Y) )
& ( ~ smaller(X,Y)
| smaller_or_equal(X,Y) )
& ( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
greater(eta,zero),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [T,T0,X] :
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(canonicalize,[],[assumption_2]) ).
fof(normalize_0_20,plain,
! [T,T0,X] :
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
! [T,T0,X] :
( ~ has_immunity(X,T0)
| ~ organization(X)
| greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T) ),
inference(canonicalize,[],[assumption_3]) ).
fof(normalize_0_23,plain,
! [T,T0,X] :
( ~ has_immunity(X,T0)
| ~ organization(X)
| greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_25,plain,
! [T,X] :
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_2:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_4,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
has_endowment(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),eta)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(subst,[],[refute_0_2:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),eta) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),eta) ),[0],$fot(zero)]]) ).
cnf(refute_0_10,plain,
( ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),eta) )],[refute_0_10,refute_0_7]) ).
cnf(refute_0_12,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_14,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_0_15,plain,
greater(eta,zero),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_0_18,plain,
smaller(zero,eta),
inference(resolve,[$cnf( greater(eta,zero) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
smaller_or_equal(zero,eta),
inference(resolve,[$cnf( smaller(zero,eta) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_22,plain,
( ~ has_immunity(skolemFOFtoCNF_X,X_104)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_104) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(subst,[],[refute_0_21:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(T0,$fot(X_104)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_23,plain,
( ~ has_immunity(skolemFOFtoCNF_X,X_104)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_104) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_25,plain,
( ~ has_immunity(skolemFOFtoCNF_X,X_104)
| hazard_of_mortality(skolemFOFtoCNF_X,X_104) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(subst,[],[refute_0_25:[bind(X_104,$fot(skolemFOFtoCNF_T1))]]) ).
cnf(refute_0_27,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),[1],$fot(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))]]) ).
cnf(refute_0_29,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) )],[refute_0_29,refute_0_0]) ).
cnf(refute_0_31,plain,
( ~ has_immunity(X,T0)
| ~ organization(X)
| greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_32,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_109),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| has_immunity(skolemFOFtoCNF_X,X_109) ),
inference(subst,[],[refute_0_31:[bind(T,$fot(X_109)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_33,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_109),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| has_immunity(skolemFOFtoCNF_X,X_109) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_20,refute_0_32]) ).
cnf(refute_0_34,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,X_109),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| has_immunity(skolemFOFtoCNF_X,X_109) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_24,refute_0_33]) ).
cnf(refute_0_35,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_34:[bind(X_109,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_36,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_35,refute_0_30]) ).
cnf(refute_0_37,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_38,plain,
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_39,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta)
| ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_38:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_40,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_40]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_36,refute_0_41]) ).
fof(negate_1_0,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,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [T0,T1,T2,X] :
( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
& age(X,T0) = zero
& greater(age(X,T2),eta)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
& age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero
& greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta)
& greater(eta,zero)
& greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1))
& has_endowment(skolemFOFtoCNF_X_1)
& organization(skolemFOFtoCNF_X_1)
& smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X] :
( ~ has_endowment(X)
<=> ( ~ organization(X)
| ? [T] :
( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ? [T] :
( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_4,plain,
! [X] :
( ~ has_endowment(X)
<=> ( ~ organization(X)
| ? [T] :
( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ? [T] :
( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [T,X] :
( ( ~ has_endowment(X)
| organization(X) )
& ( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) )
& ( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ( ~ has_immunity(X,skolemFOFtoCNF_T(X))
| ~ organization(X)
| greater(age(X,skolemFOFtoCNF_T_1(X)),eta)
| has_endowment(X) )
& ( ~ has_immunity(X,skolemFOFtoCNF_T(X))
| ~ organization(X)
| has_endowment(X)
| has_immunity(X,skolemFOFtoCNF_T_1(X)) )
& ( ~ organization(X)
| greater(age(X,skolemFOFtoCNF_T_1(X)),eta)
| has_endowment(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T(X)),eta) )
& ( ~ organization(X)
| has_endowment(X)
| has_immunity(X,skolemFOFtoCNF_T_1(X))
| smaller_or_equal(age(X,skolemFOFtoCNF_T(X)),eta) ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [T,X] :
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_8,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_9,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_1_10,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [X,Y] :
( ( X != Y
| smaller_or_equal(X,Y) )
& ( ~ smaller(X,Y)
| smaller_or_equal(X,Y) )
& ( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ) ),
inference(clausify,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
greater(eta,zero),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_14,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_1_15,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [T,T0,X] :
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(canonicalize,[],[assumption_2]) ).
fof(normalize_1_19,plain,
! [T,T0,X] :
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
organization(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_21,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_1:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_3,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_4,refute_1_3]) ).
cnf(refute_1_6,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_1:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_7,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_8,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),[0],$fot(zero)]]) ).
cnf(refute_1_9,plain,
( ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) )],[refute_1_9,refute_1_6]) ).
cnf(refute_1_11,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_4,refute_1_10]) ).
cnf(refute_1_12,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_13,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_1_12:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_14,plain,
greater(eta,zero),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_15,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_16,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_17,plain,
smaller(zero,eta),
inference(resolve,[$cnf( greater(eta,zero) )],[refute_1_14,refute_1_16]) ).
cnf(refute_1_18,plain,
smaller_or_equal(zero,eta),
inference(resolve,[$cnf( smaller(zero,eta) )],[refute_1_17,refute_1_13]) ).
cnf(refute_1_19,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_1_18,refute_1_11]) ).
cnf(refute_1_20,plain,
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_21,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_227)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_227) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_20:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(T0,$fot(X_227)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_22,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_227)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_227) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_19,refute_1_21]) ).
cnf(refute_1_23,plain,
organization(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_24,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_227)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_227) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_23,refute_1_22]) ).
cnf(refute_1_25,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_24:[bind(X_227,$fot(skolemFOFtoCNF_T1_1))]]) ).
cnf(refute_1_26,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_5,refute_1_25]) ).
cnf(refute_1_27,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_28,plain,
$false,
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_26,refute_1_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 11:35:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.52
%------------------------------------------------------------------------------