TSTP Solution File: MGT056+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 22:19:55 EDT 2022
% Result : Theorem 0.42s 0.60s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 161 ( 37 unt; 0 def)
% Number of atoms : 486 ( 66 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 524 ( 199 ~; 201 |; 100 &)
% ( 14 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 109 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ) ).
fof(definition_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ) ).
fof(meaning_postulate_greater_strict,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X,Y,Z] :
( ( greater(X,Y)
& greater(Y,Z) )
=> greater(X,Z) ) ).
fof(meaning_postulate_greater_comparable,axiom,
! [X,Y] :
( smaller(X,Y)
| X = Y
| greater(X,Y) ) ).
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(lemma_9,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_or_equal(eta,sigma)
& greater(sigma,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_or_equal(eta,sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(strip,[],[lemma_9]) ).
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_or_equal(eta,sigma)
& greater(sigma,zero)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
=> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ),
inference(strip,[],[lemma_9]) ).
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_or_equal(eta,sigma)
& greater(sigma,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(sigma,zero)
& greater_or_equal(eta,sigma)
& 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(sigma,zero)
& greater_or_equal(eta,sigma)
& 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,
! [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_10,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_9]) ).
fof(normalize_0_11,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,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_immunity(X,T0)
| ~ organization(X)
| greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_116),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
| has_immunity(skolemFOFtoCNF_X,X_116) ),
inference(subst,[],[refute_0_7:[bind(T,$fot(X_116)),bind(T0,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_116),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
| has_immunity(skolemFOFtoCNF_X,X_116) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,X_116),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
| has_immunity(skolemFOFtoCNF_X,X_116) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_11:[bind(X_116,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_13,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) )],[refute_0_12,refute_0_0]) ).
cnf(refute_0_14,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_15,plain,
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta)
| ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_15:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_17,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_17]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_13,refute_0_18]) ).
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_or_equal(eta,sigma)
& greater(sigma,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,
! [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_1,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_0]) ).
fof(normalize_1_2,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_1]) ).
fof(normalize_1_3,plain,
! [T,X] :
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,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(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_5,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(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1))
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& has_endowment(skolemFOFtoCNF_X_1)
& organization(skolemFOFtoCNF_X_1)
& smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta) ),
inference(skolemize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_8,plain,
greater(sigma,zero),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_9,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[meaning_postulate_greater_transitive]) ).
fof(normalize_1_10,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [X,Y] :
( X = Y
| greater(X,Y)
| smaller(X,Y) ),
inference(canonicalize,[],[meaning_postulate_greater_comparable]) ).
fof(normalize_1_12,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_1_13,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [X,Y] :
( greater(X,Y)
| smaller_or_equal(X,Y) ),
inference(simplify,[],[normalize_1_11,normalize_1_13]) ).
fof(normalize_1_15,plain,
! [X,Y] :
( greater(X,Y)
| smaller_or_equal(X,Y) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [T,X] :
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_17,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_13]) ).
fof(normalize_1_18,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_1_20,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
greater_or_equal(eta,sigma),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_24,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(canonicalize,[],[definition_greater_or_equal]) ).
fof(normalize_1_25,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(specialize,[],[normalize_1_24]) ).
fof(normalize_1_26,plain,
! [X,Y] :
( ( X != Y
| greater_or_equal(X,Y) )
& ( ~ greater(X,Y)
| greater_or_equal(X,Y) )
& ( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ) ),
inference(clausify,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ),
inference(conjunct,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_29,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_30,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_29]) ).
fof(normalize_1_31,plain,
organization(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_32,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_33,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[meaning_postulate_greater_strict]) ).
fof(normalize_1_34,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(specialize,[],[normalize_1_33]) ).
cnf(refute_1_0,plain,
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta)
| ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_0:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_2,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ greater(zero,eta)
| greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
introduced(tautology,[equality,[$cnf( ~ greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),[0],$fot(zero)]]) ).
cnf(refute_1_4,plain,
( ~ greater(zero,eta)
| greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( ~ greater(zero,eta)
| ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) )],[refute_1_4,refute_1_1]) ).
cnf(refute_1_6,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_7,plain,
( ~ greater(zero,eta)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_6,refute_1_5]) ).
cnf(refute_1_8,plain,
greater(sigma,zero),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_9,plain,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_10,plain,
( ~ greater(X,age(skolemFOFtoCNF_X_1,X_168))
| ~ greater(age(skolemFOFtoCNF_X_1,X_168),eta)
| greater(X,eta) ),
inference(subst,[],[refute_1_9:[bind(Y,$fot(age(skolemFOFtoCNF_X_1,X_168))),bind(Z,$fot(eta))]]) ).
cnf(refute_1_11,plain,
( greater(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_12,plain,
( greater(age(X_143,X_142),eta)
| smaller_or_equal(age(X_143,X_142),eta) ),
inference(subst,[],[refute_1_11:[bind(X,$fot(age(X_143,X_142))),bind(Y,$fot(eta))]]) ).
cnf(refute_1_13,plain,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_14,plain,
( ~ has_endowment(X_143)
| ~ smaller_or_equal(age(X_143,X_142),eta)
| has_immunity(X_143,X_142) ),
inference(subst,[],[refute_1_13:[bind(T,$fot(X_142)),bind(X,$fot(X_143))]]) ).
cnf(refute_1_15,plain,
( ~ has_endowment(X_143)
| greater(age(X_143,X_142),eta)
| has_immunity(X_143,X_142) ),
inference(resolve,[$cnf( smaller_or_equal(age(X_143,X_142),eta) )],[refute_1_12,refute_1_14]) ).
cnf(refute_1_16,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| greater(age(skolemFOFtoCNF_X_1,X_166),eta)
| has_immunity(skolemFOFtoCNF_X_1,X_166) ),
inference(subst,[],[refute_1_15:[bind(X_142,$fot(X_166)),bind(X_143,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_17,plain,
( greater(age(skolemFOFtoCNF_X_1,X_166),eta)
| has_immunity(skolemFOFtoCNF_X_1,X_166) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_6,refute_1_16]) ).
cnf(refute_1_18,plain,
( greater(age(skolemFOFtoCNF_X_1,X_168),eta)
| has_immunity(skolemFOFtoCNF_X_1,X_168) ),
inference(subst,[],[refute_1_17:[bind(X_166,$fot(X_168))]]) ).
cnf(refute_1_19,plain,
( ~ greater(X,age(skolemFOFtoCNF_X_1,X_168))
| greater(X,eta)
| has_immunity(skolemFOFtoCNF_X_1,X_168) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X_1,X_168),eta) )],[refute_1_18,refute_1_10]) ).
cnf(refute_1_20,plain,
( ~ greater(X_219,age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| greater(X_219,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_19:[bind(X,$fot(X_219)),bind(X_168,$fot(skolemFOFtoCNF_T0_1))]]) ).
cnf(refute_1_21,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ greater(X_219,zero)
| greater(X_219,age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) ),
introduced(tautology,[equality,[$cnf( ~ greater(X_219,age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) ),[1],$fot(zero)]]) ).
cnf(refute_1_22,plain,
( ~ greater(X_219,zero)
| greater(X_219,age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_2,refute_1_21]) ).
cnf(refute_1_23,plain,
( ~ greater(X_219,zero)
| greater(X_219,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( greater(X_219,age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_22,refute_1_20]) ).
cnf(refute_1_24,plain,
( ~ greater(sigma,zero)
| greater(sigma,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_23:[bind(X_219,$fot(sigma))]]) ).
cnf(refute_1_25,plain,
( greater(sigma,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( greater(sigma,zero) )],[refute_1_8,refute_1_24]) ).
cnf(refute_1_26,plain,
( ~ greater(zero,eta)
| greater(sigma,eta) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_25,refute_1_7]) ).
cnf(refute_1_27,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_13:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_28,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),[0],$fot(zero)]]) ).
cnf(refute_1_29,plain,
( ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_2,refute_1_28]) ).
cnf(refute_1_30,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) )],[refute_1_29,refute_1_27]) ).
cnf(refute_1_31,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_6,refute_1_30]) ).
cnf(refute_1_32,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_33,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_1_32:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_34,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_35,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_36,plain,
greater_or_equal(eta,sigma),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_37,plain,
( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_38,plain,
( ~ greater_or_equal(eta,sigma)
| eta = sigma
| greater(eta,sigma) ),
inference(subst,[],[refute_1_37:[bind(X,$fot(eta)),bind(Y,$fot(sigma))]]) ).
cnf(refute_1_39,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(resolve,[$cnf( greater_or_equal(eta,sigma) )],[refute_1_36,refute_1_38]) ).
cnf(refute_1_40,plain,
( ~ greater(X_151,sigma)
| ~ greater(sigma,zero)
| greater(X_151,zero) ),
inference(subst,[],[refute_1_9:[bind(X,$fot(X_151)),bind(Y,$fot(sigma)),bind(Z,$fot(zero))]]) ).
cnf(refute_1_41,plain,
( ~ greater(X_151,sigma)
| greater(X_151,zero) ),
inference(resolve,[$cnf( greater(sigma,zero) )],[refute_1_8,refute_1_40]) ).
cnf(refute_1_42,plain,
( ~ greater(eta,sigma)
| greater(eta,zero) ),
inference(subst,[],[refute_1_41:[bind(X_151,$fot(eta))]]) ).
cnf(refute_1_43,plain,
( eta = sigma
| greater(eta,zero) ),
inference(resolve,[$cnf( greater(eta,sigma) )],[refute_1_39,refute_1_42]) ).
cnf(refute_1_44,plain,
( eta = sigma
| smaller(zero,eta) ),
inference(resolve,[$cnf( greater(eta,zero) )],[refute_1_43,refute_1_35]) ).
cnf(refute_1_45,plain,
( eta = sigma
| smaller_or_equal(zero,eta) ),
inference(resolve,[$cnf( smaller(zero,eta) )],[refute_1_44,refute_1_33]) ).
cnf(refute_1_46,plain,
( eta = sigma
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_1_45,refute_1_31]) ).
cnf(refute_1_47,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_48,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_13:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_49,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_6,refute_1_49]) ).
cnf(refute_1_51,plain,
( ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_52,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_248)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_248) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_51:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(T0,$fot(X_248)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_53,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_248)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_248) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_50,refute_1_52]) ).
cnf(refute_1_54,plain,
organization(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_55,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_248)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_248) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_54,refute_1_53]) ).
cnf(refute_1_56,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_55:[bind(X_248,$fot(skolemFOFtoCNF_T0_1))]]) ).
cnf(refute_1_57,plain,
( eta = sigma
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_46,refute_1_56]) ).
cnf(refute_1_58,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_59,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_1_60,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_1_61,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_1_59,refute_1_60]) ).
cnf(refute_1_62,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_61:[bind(X0,$fot(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))),bind(Y0,$fot(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)))]]) ).
cnf(refute_1_63,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_62,refute_1_58]) ).
cnf(refute_1_64,plain,
eta = sigma,
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) )],[refute_1_57,refute_1_63]) ).
cnf(refute_1_65,plain,
( eta != sigma
| sigma = eta ),
inference(subst,[],[refute_1_61:[bind(X0,$fot(eta)),bind(Y0,$fot(sigma))]]) ).
cnf(refute_1_66,plain,
sigma = eta,
inference(resolve,[$cnf( $equal(eta,sigma) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
( sigma != eta
| ~ greater(sigma,eta)
| greater(eta,eta) ),
introduced(tautology,[equality,[$cnf( greater(sigma,eta) ),[0],$fot(eta)]]) ).
cnf(refute_1_68,plain,
( ~ greater(sigma,eta)
| greater(eta,eta) ),
inference(resolve,[$cnf( $equal(sigma,eta) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
( ~ greater(zero,eta)
| greater(eta,eta) ),
inference(resolve,[$cnf( greater(sigma,eta) )],[refute_1_26,refute_1_68]) ).
cnf(refute_1_70,plain,
( greater(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_1_11:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_71,plain,
( greater(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_1_70,refute_1_31]) ).
cnf(refute_1_72,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| greater(zero,eta) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_71,refute_1_56]) ).
cnf(refute_1_73,plain,
greater(zero,eta),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) )],[refute_1_72,refute_1_63]) ).
cnf(refute_1_74,plain,
greater(eta,eta),
inference(resolve,[$cnf( greater(zero,eta) )],[refute_1_73,refute_1_69]) ).
cnf(refute_1_75,plain,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_76,plain,
~ greater(eta,eta),
inference(subst,[],[refute_1_75:[bind(X,$fot(eta)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_77,plain,
$false,
inference(resolve,[$cnf( greater(eta,eta) )],[refute_1_74,refute_1_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 12:04:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.42/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.60
% 0.42/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.42/0.61
%------------------------------------------------------------------------------