TSTP Solution File: MGT055+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT055+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 2.80s 2.99s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 19
% Syntax : Number of formulae : 274 ( 69 unt; 0 def)
% Number of atoms : 898 ( 105 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1006 ( 382 ~; 388 |; 190 &)
% ( 30 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 330 ( 0 sgn 208 !; 27 ?)
% 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(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(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(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ) ).
fof(assumption_13,axiom,
! [X,T] :
( ( organization(X)
& age(X,T) = zero )
=> is_aligned(X,T) ) ).
fof(assumption_14,axiom,
! [X,T0,T] :
( ( organization(X)
& is_aligned(X,T0)
& ~ is_aligned(X,T) )
=> greater(capability(X,T0),capability(X,T)) ) ).
fof(assumption_15,axiom,
! [X,T0,T] :
( ( organization(X)
& age(X,T0) = zero )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ) ).
fof(assumption_16,axiom,
! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T)
& greater(capability(X,T),capability(X,T0)) )
=> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ) ).
fof(lemma_8,conjecture,
! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& 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,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ),
inference(strip,[],[lemma_8]) ).
fof(subgoal_1,plain,
! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
=> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(strip,[],[lemma_8]) ).
fof(subgoal_2,plain,
! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
=> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ),
inference(strip,[],[lemma_8]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T0,T1,T2,T3,X] :
( ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& age(X,T0) = zero
& greater(age(X,T2),eta)
& greater(age(X,T3),sigma)
& greater(eta,zero)
& greater(sigma,eta)
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T2),sigma) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
& age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta)
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma)
& greater(eta,zero)
& greater(sigma,eta)
& has_endowment(skolemFOFtoCNF_X)
& organization(skolemFOFtoCNF_X)
& smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),eta)
& smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T,T0,X] :
( ~ greater(capability(X,T),capability(X,T0))
| ~ organization(X)
| greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| has_immunity(X,T)
| has_immunity(X,T0) ),
inference(canonicalize,[],[assumption_16]) ).
fof(normalize_0_4,plain,
! [T,T0,X] :
( ~ greater(capability(X,T),capability(X,T0))
| ~ organization(X)
| greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| has_immunity(X,T)
| has_immunity(X,T0) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| greater(capability(X,T0),capability(X,T))
| is_aligned(X,T) ),
inference(canonicalize,[],[assumption_14]) ).
fof(normalize_0_6,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| greater(capability(X,T0),capability(X,T))
| is_aligned(X,T) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[assumption_13]) ).
fof(normalize_0_8,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_12,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [T,T0,X] :
( ( ~ dissimilar(X,T0,T)
| organization(X) )
& ( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [T0,X] :
( age(X,T0) != zero
| ~ organization(X)
| ! [T] :
( ~ dissimilar(X,T0,T)
<=> ~ greater(age(X,T),sigma) ) ),
inference(canonicalize,[],[assumption_15]) ).
fof(normalize_0_16,plain,
! [T0,X] :
( age(X,T0) != zero
| ~ organization(X)
| ! [T] :
( ~ dissimilar(X,T0,T)
<=> ~ greater(age(X,T),sigma) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [T,T0,X] :
( ( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) )
& ( age(X,T0) != zero
| ~ greater(age(X,T),sigma)
| ~ organization(X)
| dissimilar(X,T0,T) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [T,T0,X] :
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ~ smaller(X,Y)
| greater(Y,X) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,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_25]) ).
fof(normalize_0_27,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[meaning_postulate_greater_strict]) ).
fof(normalize_0_29,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_31,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_32,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_31]) ).
fof(normalize_0_33,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_32]) ).
fof(normalize_0_34,plain,
! [T,X] :
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
has_endowment(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_37,plain,
greater(sigma,eta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_38,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[meaning_postulate_greater_transitive]) ).
fof(normalize_0_39,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_41,plain,
! [T,T0,X] :
( age(X,T0) != zero
| ~ greater(age(X,T),sigma)
| ~ organization(X)
| dissimilar(X,T0,T) ),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ greater(capability(X,T),capability(X,T0))
| ~ organization(X)
| greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| has_immunity(X,T)
| has_immunity(X,T0) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_634))
| ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_634),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_634)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(X_634)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| greater(capability(X,T0),capability(X,T))
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X)
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,T))
| is_aligned(skolemFOFtoCNF_X,T) ),
inference(subst,[],[refute_0_3:[bind(T0,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(subst,[],[refute_0_5:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_7,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| zero != zero
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_9,plain,
( zero != zero
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_9,refute_0_6]) ).
cnf(refute_0_11,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_12,plain,
( ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_14,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_175)
| is_aligned(skolemFOFtoCNF_X,X_175) ),
inference(subst,[],[refute_0_15:[bind(T,$fot(X_175)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_17,plain,
( ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_175)
| is_aligned(skolemFOFtoCNF_X,X_175) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_175)
| is_aligned(skolemFOFtoCNF_X,X_175) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_238)
| is_aligned(skolemFOFtoCNF_X,X_238) ),
inference(subst,[],[refute_0_18:[bind(X_175,$fot(X_238))]]) ).
cnf(refute_0_20,plain,
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_21,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_238)
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_238),sigma) ),
inference(subst,[],[refute_0_20:[bind(T,$fot(X_238)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_22,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_238),sigma)
| is_aligned(skolemFOFtoCNF_X,X_238) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_238) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_238),sigma)
| is_aligned(skolemFOFtoCNF_X,X_238) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_9,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_238),sigma)
| is_aligned(skolemFOFtoCNF_X,X_238) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_11,refute_0_23]) ).
cnf(refute_0_25,plain,
( greater(age(skolemFOFtoCNF_X,X_238),sigma)
| is_aligned(skolemFOFtoCNF_X,X_238) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_24]) ).
cnf(refute_0_26,plain,
( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_25:[bind(X_238,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_27,plain,
( ~ smaller(X,Y)
| greater(Y,X) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_28,plain,
( ~ smaller(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| greater(sigma,age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))),bind(Y,$fot(sigma))]]) ).
cnf(refute_0_29,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_30,plain,
( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_31,plain,
( ~ smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| smaller(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))),bind(Y,$fot(sigma))]]) ).
cnf(refute_0_32,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| smaller(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(sigma,age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)) ),
inference(resolve,[$cnf( smaller(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) )],[refute_0_32,refute_0_28]) ).
cnf(refute_0_34,plain,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_35,plain,
( ~ greater(age(skolemFOFtoCNF_X,X_241),sigma)
| ~ greater(sigma,age(skolemFOFtoCNF_X,X_241)) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(sigma)),bind(Y,$fot(age(skolemFOFtoCNF_X,X_241)))]]) ).
cnf(refute_0_36,plain,
( greater(age(skolemFOFtoCNF_X,X_241),sigma)
| is_aligned(skolemFOFtoCNF_X,X_241) ),
inference(subst,[],[refute_0_25:[bind(X_238,$fot(X_241))]]) ).
cnf(refute_0_37,plain,
( ~ greater(sigma,age(skolemFOFtoCNF_X,X_241))
| is_aligned(skolemFOFtoCNF_X,X_241) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,X_241),sigma) )],[refute_0_36,refute_0_35]) ).
cnf(refute_0_38,plain,
( ~ greater(sigma,age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_37:[bind(X_241,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_39,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(sigma,age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)) )],[refute_0_33,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ organization(skolemFOFtoCNF_X)
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,T))
| is_aligned(skolemFOFtoCNF_X,T) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_39,refute_0_4]) ).
cnf(refute_0_41,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,T))
| is_aligned(skolemFOFtoCNF_X,T) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_40]) ).
cnf(refute_0_42,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_627))
| is_aligned(skolemFOFtoCNF_X,X_627) ),
inference(subst,[],[refute_0_41:[bind(T,$fot(X_627))]]) ).
cnf(refute_0_43,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_627))
| ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_627),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_627)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(X_627)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_44,plain,
( ~ organization(skolemFOFtoCNF_X)
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_627),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_627)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,X_627) ),
inference(resolve,[$cnf( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_627)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_627),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_627)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,X_627) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_44]) ).
cnf(refute_0_46,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_47,plain,
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_48,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta)
| ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_47:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_49,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),eta) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
has_endowment(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_51,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_50,refute_0_49]) ).
cnf(refute_0_52,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_627),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_627)
| is_aligned(skolemFOFtoCNF_X,X_627) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_45,refute_0_51]) ).
cnf(refute_0_53,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_52:[bind(X_627,$fot(skolemFOFtoCNF_T3))]]) ).
cnf(refute_0_54,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)) )],[refute_0_53,refute_0_0]) ).
cnf(refute_0_55,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),eta)
| ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_47:[bind(T,$fot(skolemFOFtoCNF_T3)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_56,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_57,plain,
greater(sigma,eta),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_58,plain,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_59,plain,
( ~ greater(X_37,sigma)
| ~ greater(sigma,eta)
| greater(X_37,eta) ),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_37)),bind(Y,$fot(sigma)),bind(Z,$fot(eta))]]) ).
cnf(refute_0_60,plain,
( ~ greater(X_37,sigma)
| greater(X_37,eta) ),
inference(resolve,[$cnf( greater(sigma,eta) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma)
| greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),eta) ),
inference(subst,[],[refute_0_60:[bind(X_37,$fot(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3)))]]) ).
cnf(refute_0_62,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),eta),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma) )],[refute_0_56,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
| ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),eta) )],[refute_0_62,refute_0_55]) ).
cnf(refute_0_64,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_50,refute_0_63]) ).
cnf(refute_0_65,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) )],[refute_0_54,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_67,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T3)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_66:[bind(T,$fot(skolemFOFtoCNF_T3)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_68,plain,
( age(X,T0) != zero
| ~ greater(age(X,T),sigma)
| ~ organization(X)
| dissimilar(X,T0,T) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_69,plain,
( age(skolemFOFtoCNF_X,X_296) != zero
| ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,X_296,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_68:[bind(T,$fot(skolemFOFtoCNF_T3)),bind(T0,$fot(X_296)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_70,plain,
( age(skolemFOFtoCNF_X,X_296) != zero
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,X_296,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),sigma) )],[refute_0_56,refute_0_69]) ).
cnf(refute_0_71,plain,
( age(skolemFOFtoCNF_X,X_296) != zero
| dissimilar(skolemFOFtoCNF_X,X_296,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_70]) ).
cnf(refute_0_72,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_71:[bind(X_296,$fot(skolemFOFtoCNF_T0))]]) ).
cnf(refute_0_73,plain,
( zero != zero
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_9,refute_0_72]) ).
cnf(refute_0_74,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T3),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_11,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T3) )],[refute_0_74,refute_0_67]) ).
cnf(refute_0_76,plain,
~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_14,refute_0_75]) ).
cnf(refute_0_77,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = sigma,
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) )],[refute_0_65,refute_0_76]) ).
cnf(refute_0_78,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) != sigma
| ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| greater(sigma,sigma) ),
introduced(tautology,[equality,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) ),[0],$fot(sigma)]]) ).
cnf(refute_0_79,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| greater(sigma,sigma) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( greater(sigma,sigma)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) )],[refute_0_26,refute_0_79]) ).
cnf(refute_0_81,plain,
~ greater(sigma,sigma),
inference(subst,[],[refute_0_34:[bind(X,$fot(sigma)),bind(Y,$fot(sigma))]]) ).
cnf(refute_0_82,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( greater(sigma,sigma) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,T))
| is_aligned(skolemFOFtoCNF_X,T) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_82,refute_0_4]) ).
cnf(refute_0_84,plain,
( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,T))
| is_aligned(skolemFOFtoCNF_X,T) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_83]) ).
cnf(refute_0_85,plain,
( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_634))
| is_aligned(skolemFOFtoCNF_X,X_634) ),
inference(subst,[],[refute_0_84:[bind(T,$fot(X_634))]]) ).
cnf(refute_0_86,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,X_634),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_634)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,X_634) ),
inference(resolve,[$cnf( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),capability(skolemFOFtoCNF_X,X_634)) )],[refute_0_85,refute_0_2]) ).
cnf(refute_0_87,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,X_634),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_634)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,X_634) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_13,refute_0_86]) ).
cnf(refute_0_88,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,X_634),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,X_634)
| is_aligned(skolemFOFtoCNF_X,X_634) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_87,refute_0_51]) ).
cnf(refute_0_89,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(subst,[],[refute_0_88:[bind(X_634,$fot(skolemFOFtoCNF_T3))]]) ).
cnf(refute_0_90,plain,
( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)) )],[refute_0_89,refute_0_0]) ).
cnf(refute_0_91,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) )],[refute_0_90,refute_0_64]) ).
cnf(refute_0_92,plain,
$false,
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T3) )],[refute_0_91,refute_0_76]) ).
fof(negate_1_0,plain,
~ ! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
=> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [T0,T1,T2,T3,X] :
( ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& age(X,T0) = zero
& greater(age(X,T2),eta)
& greater(age(X,T3),sigma)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& greater(sigma,eta)
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T2),sigma) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1))
& age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero
& greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta)
& greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T3_1),sigma)
& greater(eta,zero)
& greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T3_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1))
& greater(sigma,eta)
& has_endowment(skolemFOFtoCNF_X_1)
& organization(skolemFOFtoCNF_X_1)
& smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta)
& smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),sigma) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(conjunct,[],[normalize_1_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(canonicalize,[],[definition_1]) ).
fof(normalize_1_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_1_4]) ).
fof(normalize_1_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_1_5]) ).
fof(normalize_1_7,plain,
! [T,X] :
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_9,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_10,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_1_11,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_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_1_11]) ).
fof(normalize_1_13,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
greater(eta,zero),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_15,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_1_16,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_1_17]) ).
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(canonicalize,[],[assumption_2]) ).
fof(normalize_1_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_1_19]) ).
fof(normalize_1_21,plain,
organization(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_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_1_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_1_22]) ).
fof(normalize_1_24,plain,
greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_25,plain,
! [T,X] :
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(conjunct,[],[normalize_1_6]) ).
cnf(refute_1_0,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,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_2:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_4,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),eta) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_6,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_5,refute_1_4]) ).
cnf(refute_1_7,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_2:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_8,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,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_10,plain,
( ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),eta) )],[refute_1_10,refute_1_7]) ).
cnf(refute_1_12,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_5,refute_1_11]) ).
cnf(refute_1_13,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_14,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_1_13:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_15,plain,
greater(eta,zero),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_16,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_17,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(subst,[],[refute_1_16:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_1_18,plain,
smaller(zero,eta),
inference(resolve,[$cnf( greater(eta,zero) )],[refute_1_15,refute_1_17]) ).
cnf(refute_1_19,plain,
smaller_or_equal(zero,eta),
inference(resolve,[$cnf( smaller(zero,eta) )],[refute_1_18,refute_1_14]) ).
cnf(refute_1_20,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_1_19,refute_1_12]) ).
cnf(refute_1_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_1_20]) ).
cnf(refute_1_22,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_870)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_870) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_21:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(T0,$fot(X_870)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_23,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_870)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_870) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_20,refute_1_22]) ).
cnf(refute_1_24,plain,
organization(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_25,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,X_870)
| hazard_of_mortality(skolemFOFtoCNF_X_1,X_870) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_24,refute_1_23]) ).
cnf(refute_1_26,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_25:[bind(X_870,$fot(skolemFOFtoCNF_T1_1))]]) ).
cnf(refute_1_27,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_6,refute_1_26]) ).
cnf(refute_1_28,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) ),[1],$fot(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))]]) ).
cnf(refute_1_29,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)) )],[refute_1_29,refute_1_0]) ).
cnf(refute_1_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_1_23]) ).
cnf(refute_1_32,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| greater(hazard_of_mortality(skolemFOFtoCNF_X_1,X_878),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| has_immunity(skolemFOFtoCNF_X_1,X_878) ),
inference(subst,[],[refute_1_31:[bind(T,$fot(X_878)),bind(T0,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_33,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| greater(hazard_of_mortality(skolemFOFtoCNF_X_1,X_878),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| has_immunity(skolemFOFtoCNF_X_1,X_878) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_20,refute_1_32]) ).
cnf(refute_1_34,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X_1,X_878),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| has_immunity(skolemFOFtoCNF_X_1,X_878) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_24,refute_1_33]) ).
cnf(refute_1_35,plain,
( greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1))
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(subst,[],[refute_1_34:[bind(X_878,$fot(skolemFOFtoCNF_T2_1))]]) ).
cnf(refute_1_36,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_35,refute_1_30]) ).
cnf(refute_1_37,plain,
greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_38,plain,
( ~ greater(age(X,T),eta)
| ~ has_endowment(X)
| ~ has_immunity(X,T) ),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_39,plain,
( ~ greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta)
| ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(subst,[],[refute_1_38:[bind(T,$fot(skolemFOFtoCNF_T2_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_40,plain,
( ~ has_endowment(skolemFOFtoCNF_X_1)
| ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),eta) )],[refute_1_37,refute_1_39]) ).
cnf(refute_1_41,plain,
~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_5,refute_1_40]) ).
cnf(refute_1_42,plain,
$false,
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1) )],[refute_1_36,refute_1_41]) ).
fof(negate_2_0,plain,
~ ! [X,T0,T1,T2,T3] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T3),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
=> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
? [T0,T1,T2,T3,X] :
( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
& age(X,T0) = zero
& greater(age(X,T2),eta)
& greater(age(X,T3),sigma)
& greater(eta,zero)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
& greater(sigma,eta)
& has_endowment(X)
& organization(X)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T2),sigma) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) != hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2)
& age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) = zero
& greater(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T2_2),eta)
& greater(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T3_2),sigma)
& greater(eta,zero)
& greater(hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T2_2),hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2))
& greater(hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T3_2),hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T2_2))
& greater(sigma,eta)
& has_endowment(skolemFOFtoCNF_X_2)
& organization(skolemFOFtoCNF_X_2)
& smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),eta)
& smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T2_2),sigma) ),
inference(skolemize,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),eta),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_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_2_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_2_3]) ).
fof(normalize_2_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_2_4]) ).
fof(normalize_2_6,plain,
! [T,X] :
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_7,plain,
has_endowment(skolemFOFtoCNF_X_2),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_8,plain,
age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) = zero,
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_9,plain,
greater(eta,zero),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_10,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_2_11,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_2_11]) ).
fof(normalize_2_13,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_2_15,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_2_14]) ).
fof(normalize_2_16,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_2_15]) ).
fof(normalize_2_17,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_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_2_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_2_18]) ).
fof(normalize_2_20,plain,
organization(skolemFOFtoCNF_X_2),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_21,plain,
hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) != hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),
inference(conjunct,[],[normalize_2_1]) ).
cnf(refute_2_0,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),eta),
inference(canonicalize,[],[normalize_2_2]) ).
cnf(refute_2_1,plain,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_2,plain,
( ~ has_endowment(skolemFOFtoCNF_X_2)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),eta)
| has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) ),
inference(subst,[],[refute_2_1:[bind(T,$fot(skolemFOFtoCNF_T1_2)),bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_2_3,plain,
( ~ has_endowment(skolemFOFtoCNF_X_2)
| has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),eta) )],[refute_2_0,refute_2_2]) ).
cnf(refute_2_4,plain,
has_endowment(skolemFOFtoCNF_X_2),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_5,plain,
has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_2) )],[refute_2_4,refute_2_3]) ).
cnf(refute_2_6,plain,
( ~ has_endowment(skolemFOFtoCNF_X_2)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),eta)
| has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(subst,[],[refute_2_1:[bind(T,$fot(skolemFOFtoCNF_T0_2)),bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_2_7,plain,
age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) = zero,
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_8,plain,
( age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) != zero
| ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),eta) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),eta) ),[0],$fot(zero)]]) ).
cnf(refute_2_9,plain,
( ~ smaller_or_equal(zero,eta)
| smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),eta) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),zero) )],[refute_2_7,refute_2_8]) ).
cnf(refute_2_10,plain,
( ~ has_endowment(skolemFOFtoCNF_X_2)
| ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),eta) )],[refute_2_9,refute_2_6]) ).
cnf(refute_2_11,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_2) )],[refute_2_4,refute_2_10]) ).
cnf(refute_2_12,plain,
greater(eta,zero),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_13,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_14,plain,
( ~ greater(eta,zero)
| smaller(zero,eta) ),
inference(subst,[],[refute_2_13:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_2_15,plain,
smaller(zero,eta),
inference(resolve,[$cnf( greater(eta,zero) )],[refute_2_12,refute_2_14]) ).
cnf(refute_2_16,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_17,plain,
( ~ smaller(zero,eta)
| smaller_or_equal(zero,eta) ),
inference(subst,[],[refute_2_16:[bind(X,$fot(zero)),bind(Y,$fot(eta))]]) ).
cnf(refute_2_18,plain,
smaller_or_equal(zero,eta),
inference(resolve,[$cnf( smaller(zero,eta) )],[refute_2_15,refute_2_17]) ).
cnf(refute_2_19,plain,
has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),
inference(resolve,[$cnf( smaller_or_equal(zero,eta) )],[refute_2_18,refute_2_11]) ).
cnf(refute_2_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_2_19]) ).
cnf(refute_2_21,plain,
( ~ has_immunity(skolemFOFtoCNF_X_2,X_1120)
| ~ has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2)
| ~ organization(skolemFOFtoCNF_X_2)
| hazard_of_mortality(skolemFOFtoCNF_X_2,X_1120) = hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(subst,[],[refute_2_20:[bind(T,$fot(skolemFOFtoCNF_T0_2)),bind(T0,$fot(X_1120)),bind(X,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_2_22,plain,
( ~ has_immunity(skolemFOFtoCNF_X_2,X_1120)
| ~ organization(skolemFOFtoCNF_X_2)
| hazard_of_mortality(skolemFOFtoCNF_X_2,X_1120) = hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) )],[refute_2_19,refute_2_21]) ).
cnf(refute_2_23,plain,
organization(skolemFOFtoCNF_X_2),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_24,plain,
( ~ has_immunity(skolemFOFtoCNF_X_2,X_1120)
| hazard_of_mortality(skolemFOFtoCNF_X_2,X_1120) = hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_2) )],[refute_2_23,refute_2_22]) ).
cnf(refute_2_25,plain,
( ~ has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2)
| hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) = hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2) ),
inference(subst,[],[refute_2_24:[bind(X_1120,$fot(skolemFOFtoCNF_T1_2))]]) ).
cnf(refute_2_26,plain,
hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) = hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) )],[refute_2_5,refute_2_25]) ).
cnf(refute_2_27,plain,
hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2) != hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_28,plain,
$false,
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T1_2),hazard_of_mortality(skolemFOFtoCNF_X_2,skolemFOFtoCNF_T0_2)) )],[refute_2_26,refute_2_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 10:05:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.80/2.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/2.99
% 2.80/2.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.80/3.00
%------------------------------------------------------------------------------