TSTP Solution File: MGT062+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:59 EDT 2022
% Result : Theorem 1.04s 1.21s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 28
% Syntax : Number of formulae : 273 ( 60 unt; 0 def)
% Number of atoms : 948 ( 183 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 1109 ( 434 ~; 478 |; 152 &)
% ( 28 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 303 ( 2 sgn 174 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ) ).
fof(assumption_1,axiom,
! [X,T] :
( ( organization(X)
& ~ has_endowment(X) )
=> ~ has_immunity(X,T) ) ).
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_15,axiom,
! [X,T0,T] :
( ( organization(X)
& age(X,T0) = zero )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ) ).
fof(definition_4,axiom,
! [X] :
( robust_position(X)
<=> ! [T] :
( ( smaller_or_equal(age(X,T),tau)
=> ~ positional_advantage(X,T) )
& ( greater(age(X,T),tau)
=> positional_advantage(X,T) ) ) ) ).
fof(assumption_17,axiom,
! [X,T] :
( organization(X)
=> ( ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low )
& ( ~ has_immunity(X,T)
=> ( ( ( is_aligned(X,T)
& positional_advantage(X,T) )
=> hazard_of_mortality(X,T) = low )
& ( ( ~ is_aligned(X,T)
& positional_advantage(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( is_aligned(X,T)
& ~ positional_advantage(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( ~ is_aligned(X,T)
& ~ positional_advantage(X,T) )
=> hazard_of_mortality(X,T) = high ) ) ) ) ) ).
fof(assumption_19,axiom,
greater(mod2,mod1) ).
fof(theorem_8,conjecture,
! [X,T0,T1,T2] :
( ( organization(X)
& robust_position(X)
& ~ has_endowment(X)
& age(X,T0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X,T1),sigma)
& greater(age(X,T2),sigma) )
=> ( smaller(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)
& robust_position(X)
& ~ has_endowment(X)
& age(X,T0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X,T1),sigma)
& greater(age(X,T2),sigma) )
=> smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(strip,[],[theorem_8]) ).
fof(subgoal_1,plain,
! [X,T0,T1,T2] :
( ( organization(X)
& robust_position(X)
& ~ has_endowment(X)
& age(X,T0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X,T1),sigma)
& greater(age(X,T2),sigma)
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
=> hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ),
inference(strip,[],[theorem_8]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T1,T2] :
( ( organization(X)
& robust_position(X)
& ~ has_endowment(X)
& age(X,T0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X,T1),sigma)
& greater(age(X,T2),sigma) )
=> smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ organization(X)
| has_endowment(X)
| ! [T] : ~ has_immunity(X,T) ),
inference(canonicalize,[],[assumption_1]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ organization(X)
| has_endowment(X)
| ! [T] : ~ has_immunity(X,T) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [T,X] :
( ~ has_immunity(X,T)
| ~ organization(X)
| has_endowment(X) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
? [T0,T1,T2,X] :
( ~ has_endowment(X)
& ~ smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& age(X,T0) = zero
& sigma = tau
& greater(age(X,T2),sigma)
& greater(sigma,zero)
& greater(tau,zero)
& organization(X)
& robust_position(X)
& smaller_or_equal(age(X,T1),sigma) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
& ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1))
& age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero
& sigma = tau
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
& greater(sigma,zero)
& greater(tau,zero)
& organization(skolemFOFtoCNF_X)
& robust_position(skolemFOFtoCNF_X)
& smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),sigma) ),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ organization(X)
| ( ! [T] :
( ~ has_immunity(X,T)
| hazard_of_mortality(X,T) = very_low )
& ! [T] :
( has_immunity(X,T)
| ( ( ~ is_aligned(X,T)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low )
& ( ~ is_aligned(X,T)
| hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = high
| is_aligned(X,T)
| positional_advantage(X,T) ) ) ) ) ),
inference(canonicalize,[],[assumption_17]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ organization(X)
| ( ! [T] :
( ~ has_immunity(X,T)
| hazard_of_mortality(X,T) = very_low )
& ! [T] :
( has_immunity(X,T)
| ( ( ~ is_aligned(X,T)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low )
& ( ~ is_aligned(X,T)
| hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = high
| is_aligned(X,T)
| positional_advantage(X,T) ) ) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [T,X] :
( ( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low
| has_immunity(X,T) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) )
& ( ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| has_immunity(X,T)
| is_aligned(X,T) )
& ( ~ organization(X)
| hazard_of_mortality(X,T) = high
| has_immunity(X,T)
| is_aligned(X,T)
| positional_advantage(X,T) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [T,X] :
( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),sigma),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ robust_position(X)
<=> ( ? [T] :
( ~ positional_advantage(X,T)
& greater(age(X,T),tau) )
| ? [T] :
( positional_advantage(X,T)
& smaller_or_equal(age(X,T),tau) ) ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ robust_position(X)
<=> ( ? [T] :
( ~ positional_advantage(X,T)
& greater(age(X,T),tau) )
| ? [T] :
( positional_advantage(X,T)
& smaller_or_equal(age(X,T),tau) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [T,X] :
( ( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) )
& ( ~ positional_advantage(X,skolemFOFtoCNF_T(X))
| positional_advantage(X,skolemFOFtoCNF_T_1(X))
| robust_position(X) )
& ( ~ positional_advantage(X,skolemFOFtoCNF_T(X))
| robust_position(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T_1(X)),tau) )
& ( greater(age(X,skolemFOFtoCNF_T(X)),tau)
| positional_advantage(X,skolemFOFtoCNF_T_1(X))
| robust_position(X) )
& ( greater(age(X,skolemFOFtoCNF_T(X)),tau)
| robust_position(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T_1(X)),tau) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [T,X] :
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
sigma = tau,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_16,plain,
robust_position(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_17,plain,
! [T,X] :
( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_18,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[assumption_13]) ).
fof(normalize_0_19,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_21,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_22,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_23,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,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_23]) ).
fof(normalize_0_25,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,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_27,plain,
! [T0,X] :
( age(X,T0) != zero
| ~ organization(X)
| ! [T] :
( ~ dissimilar(X,T0,T)
<=> ~ greater(age(X,T),sigma) ) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,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_27]) ).
fof(normalize_0_29,plain,
! [T,T0,X] :
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [T,X] :
( ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| has_immunity(X,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_31,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_32,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_33,plain,
! [T,T0,X] :
( age(X,T0) != zero
| ~ greater(age(X,T),sigma)
| ~ organization(X)
| dissimilar(X,T0,T) ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_34,plain,
greater(mod2,mod1),
inference(canonicalize,[],[assumption_19]) ).
fof(normalize_0_35,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_0_36,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
~ has_endowment(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( ~ has_immunity(X,T)
| ~ organization(X)
| has_endowment(X) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = mod2
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_4:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),sigma),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_8,plain,
sigma = tau,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_9,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_10,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_11,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( sigma != tau
| tau = sigma ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(sigma)),bind(Y0,$fot(tau))]]) ).
cnf(refute_0_13,plain,
tau = sigma,
inference(resolve,[$cnf( $equal(sigma,tau) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
( tau != sigma
| ~ smaller_or_equal(age(X,T),sigma)
| smaller_or_equal(age(X,T),tau) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(X,T),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_0_15,plain,
( ~ smaller_or_equal(age(X,T),sigma)
| smaller_or_equal(age(X,T),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(X,T),tau) )],[refute_0_15,refute_0_7]) ).
cnf(refute_0_17,plain,
( ~ positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ robust_position(skolemFOFtoCNF_X)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),sigma) ),
inference(subst,[],[refute_0_16:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_18,plain,
( ~ positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ robust_position(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),sigma) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
robust_position(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_20,plain,
~ positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( robust_position(skolemFOFtoCNF_X) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_22,plain,
( tau != sigma
| ~ greater(age(X,T),sigma)
| greater(age(X,T),tau) ),
introduced(tautology,[equality,[$cnf( ~ greater(age(X,T),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_0_23,plain,
( ~ greater(age(X,T),sigma)
| greater(age(X,T),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_0_13,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ greater(age(X,T),sigma)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(resolve,[$cnf( greater(age(X,T),tau) )],[refute_0_23,refute_0_21]) ).
cnf(refute_0_25,plain,
( ~ greater(age(skolemFOFtoCNF_X,X_158),sigma)
| ~ robust_position(skolemFOFtoCNF_X)
| positional_advantage(skolemFOFtoCNF_X,X_158) ),
inference(subst,[],[refute_0_24:[bind(T,$fot(X_158)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_26,plain,
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_27,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(subst,[],[refute_0_26:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_28,plain,
age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_29,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_30,plain,
( zero != zero
| age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = zero ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_30,refute_0_27]) ).
cnf(refute_0_32,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_33,plain,
( ~ organization(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_32,refute_0_31]) ).
cnf(refute_0_34,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_35,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_37,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_123)
| is_aligned(skolemFOFtoCNF_X,X_123) ),
inference(subst,[],[refute_0_36:[bind(T,$fot(X_123)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_38,plain,
( ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_123)
| is_aligned(skolemFOFtoCNF_X,X_123) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_123)
| is_aligned(skolemFOFtoCNF_X,X_123) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_38]) ).
cnf(refute_0_40,plain,
( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_155)
| is_aligned(skolemFOFtoCNF_X,X_155) ),
inference(subst,[],[refute_0_39:[bind(X_123,$fot(X_155))]]) ).
cnf(refute_0_41,plain,
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_42,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_155)
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_155),sigma) ),
inference(subst,[],[refute_0_41:[bind(T,$fot(X_155)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_43,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_155),sigma)
| is_aligned(skolemFOFtoCNF_X,X_155) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,X_155) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_155),sigma)
| is_aligned(skolemFOFtoCNF_X,X_155) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_30,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(age(skolemFOFtoCNF_X,X_155),sigma)
| is_aligned(skolemFOFtoCNF_X,X_155) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_32,refute_0_44]) ).
cnf(refute_0_46,plain,
( greater(age(skolemFOFtoCNF_X,X_155),sigma)
| is_aligned(skolemFOFtoCNF_X,X_155) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_45]) ).
cnf(refute_0_47,plain,
( greater(age(skolemFOFtoCNF_X,X_158),sigma)
| is_aligned(skolemFOFtoCNF_X,X_158) ),
inference(subst,[],[refute_0_46:[bind(X_155,$fot(X_158))]]) ).
cnf(refute_0_48,plain,
( ~ robust_position(skolemFOFtoCNF_X)
| is_aligned(skolemFOFtoCNF_X,X_158)
| positional_advantage(skolemFOFtoCNF_X,X_158) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,X_158),sigma) )],[refute_0_47,refute_0_25]) ).
cnf(refute_0_49,plain,
( is_aligned(skolemFOFtoCNF_X,X_158)
| positional_advantage(skolemFOFtoCNF_X,X_158) ),
inference(resolve,[$cnf( robust_position(skolemFOFtoCNF_X) )],[refute_0_19,refute_0_48]) ).
cnf(refute_0_50,plain,
( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_49:[bind(X_158,$fot(skolemFOFtoCNF_T1))]]) ).
cnf(refute_0_51,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_50,refute_0_20]) ).
cnf(refute_0_52,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = mod2
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_51,refute_0_5]) ).
cnf(refute_0_53,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = mod2
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_52]) ).
cnf(refute_0_54,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) = mod2
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_53,refute_0_20]) ).
cnf(refute_0_55,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) != mod2
| ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),
introduced(tautology,[equality,[$cnf( ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),[1],$fot(mod2)]]) ).
cnf(refute_0_56,plain,
( ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),mod2) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)) )],[refute_0_56,refute_0_3]) ).
cnf(refute_0_58,plain,
( ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| has_immunity(X,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_59,plain,
( ~ organization(skolemFOFtoCNF_X)
| ~ positional_advantage(skolemFOFtoCNF_X,X_159)
| hazard_of_mortality(skolemFOFtoCNF_X,X_159) = mod1
| has_immunity(skolemFOFtoCNF_X,X_159)
| is_aligned(skolemFOFtoCNF_X,X_159) ),
inference(subst,[],[refute_0_58:[bind(T,$fot(X_159)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_60,plain,
( is_aligned(skolemFOFtoCNF_X,X_159)
| positional_advantage(skolemFOFtoCNF_X,X_159) ),
inference(subst,[],[refute_0_49:[bind(X_158,$fot(X_159))]]) ).
cnf(refute_0_61,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_159) = mod1
| has_immunity(skolemFOFtoCNF_X,X_159)
| is_aligned(skolemFOFtoCNF_X,X_159) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X,X_159) )],[refute_0_60,refute_0_59]) ).
cnf(refute_0_62,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_159) = mod1
| has_immunity(skolemFOFtoCNF_X,X_159)
| is_aligned(skolemFOFtoCNF_X,X_159) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_61]) ).
cnf(refute_0_63,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = mod1
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_62:[bind(X_159,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_64,plain,
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_65,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T2)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_64:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_66,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_67,plain,
( age(X,T0) != zero
| ~ greater(age(X,T),sigma)
| ~ organization(X)
| dissimilar(X,T0,T) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_68,plain,
( age(skolemFOFtoCNF_X,X_195) != zero
| ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma)
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,X_195,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_67:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(T0,$fot(X_195)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_69,plain,
( age(skolemFOFtoCNF_X,X_195) != zero
| ~ organization(skolemFOFtoCNF_X)
| dissimilar(skolemFOFtoCNF_X,X_195,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),sigma) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
( age(skolemFOFtoCNF_X,X_195) != zero
| dissimilar(skolemFOFtoCNF_X,X_195,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_69]) ).
cnf(refute_0_71,plain,
( age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != zero
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_70:[bind(X_195,$fot(skolemFOFtoCNF_T0))]]) ).
cnf(refute_0_72,plain,
( zero != zero
| dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),zero) )],[refute_0_30,refute_0_71]) ).
cnf(refute_0_73,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_32,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T0,skolemFOFtoCNF_T2) )],[refute_0_73,refute_0_65]) ).
cnf(refute_0_75,plain,
~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_35,refute_0_74]) ).
cnf(refute_0_76,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) = mod1
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_63,refute_0_75]) ).
cnf(refute_0_77,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) != mod1
| ~ smaller(mod1,mod2)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2) ),
introduced(tautology,[equality,[$cnf( ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2) ),[0],$fot(mod1)]]) ).
cnf(refute_0_78,plain,
( ~ smaller(mod1,mod2)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod1) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ smaller(mod1,mod2)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),mod2) )],[refute_0_78,refute_0_57]) ).
cnf(refute_0_80,plain,
greater(mod2,mod1),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_81,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_82,plain,
( ~ greater(mod2,mod1)
| smaller(mod1,mod2) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(mod1)),bind(Y,$fot(mod2))]]) ).
cnf(refute_0_83,plain,
smaller(mod1,mod2),
inference(resolve,[$cnf( greater(mod2,mod1) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( smaller(mod1,mod2) )],[refute_0_83,refute_0_79]) ).
cnf(refute_0_85,plain,
( ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_84,refute_0_2]) ).
cnf(refute_0_86,plain,
( has_endowment(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_85]) ).
cnf(refute_0_87,plain,
~ has_endowment(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_88,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_88,refute_0_1]) ).
cnf(refute_0_90,plain,
has_endowment(skolemFOFtoCNF_X),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_89]) ).
cnf(refute_0_91,plain,
$false,
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_90,refute_0_87]) ).
fof(negate_1_0,plain,
~ ! [X,T0,T1,T2] :
( ( organization(X)
& robust_position(X)
& ~ has_endowment(X)
& age(X,T0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X,T1),sigma)
& greater(age(X,T2),sigma)
& smaller(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] :
( ~ organization(X)
| has_endowment(X)
| ! [T] : ~ has_immunity(X,T) ),
inference(canonicalize,[],[assumption_1]) ).
fof(normalize_1_1,plain,
! [X] :
( ~ organization(X)
| has_endowment(X)
| ! [T] : ~ has_immunity(X,T) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [T,X] :
( ~ has_immunity(X,T)
| ~ organization(X)
| has_endowment(X) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
? [T0,T1,T2,X] :
( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
& ~ has_endowment(X)
& age(X,T0) = zero
& sigma = tau
& greater(age(X,T2),sigma)
& greater(sigma,zero)
& greater(tau,zero)
& organization(X)
& robust_position(X)
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& smaller_or_equal(age(X,T1),sigma) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_4,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
& ~ has_endowment(skolemFOFtoCNF_X_1)
& age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero
& sigma = tau
& greater(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),sigma)
& greater(sigma,zero)
& greater(tau,zero)
& organization(skolemFOFtoCNF_X_1)
& robust_position(skolemFOFtoCNF_X_1)
& smaller(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T2_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1))
& smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),sigma) ),
inference(skolemize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[assumption_13]) ).
fof(normalize_1_7,plain,
! [T,X] :
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_9,plain,
organization(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_10,plain,
! [X] :
( ~ organization(X)
| ( ! [T] :
( ~ has_immunity(X,T)
| hazard_of_mortality(X,T) = very_low )
& ! [T] :
( has_immunity(X,T)
| ( ( ~ is_aligned(X,T)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low )
& ( ~ is_aligned(X,T)
| hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = high
| is_aligned(X,T)
| positional_advantage(X,T) ) ) ) ) ),
inference(canonicalize,[],[assumption_17]) ).
fof(normalize_1_11,plain,
! [X] :
( ~ organization(X)
| ( ! [T] :
( ~ has_immunity(X,T)
| hazard_of_mortality(X,T) = very_low )
& ! [T] :
( has_immunity(X,T)
| ( ( ~ is_aligned(X,T)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low )
& ( ~ is_aligned(X,T)
| hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = high
| is_aligned(X,T)
| positional_advantage(X,T) ) ) ) ) ),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [T,X] :
( ( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low
| has_immunity(X,T) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) )
& ( ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = mod1
| has_immunity(X,T)
| is_aligned(X,T) )
& ( ~ organization(X)
| hazard_of_mortality(X,T) = high
| has_immunity(X,T)
| is_aligned(X,T)
| positional_advantage(X,T) ) ),
inference(clausify,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [T,X] :
( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [X] :
( ~ robust_position(X)
<=> ( ? [T] :
( ~ positional_advantage(X,T)
& greater(age(X,T),tau) )
| ? [T] :
( positional_advantage(X,T)
& smaller_or_equal(age(X,T),tau) ) ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_1_15,plain,
! [X] :
( ~ robust_position(X)
<=> ( ? [T] :
( ~ positional_advantage(X,T)
& greater(age(X,T),tau) )
| ? [T] :
( positional_advantage(X,T)
& smaller_or_equal(age(X,T),tau) ) ) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [T,X] :
( ( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) )
& ( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) )
& ( ~ positional_advantage(X,skolemFOFtoCNF_T(X))
| positional_advantage(X,skolemFOFtoCNF_T_1(X))
| robust_position(X) )
& ( ~ positional_advantage(X,skolemFOFtoCNF_T(X))
| robust_position(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T_1(X)),tau) )
& ( greater(age(X,skolemFOFtoCNF_T(X)),tau)
| positional_advantage(X,skolemFOFtoCNF_T_1(X))
| robust_position(X) )
& ( greater(age(X,skolemFOFtoCNF_T(X)),tau)
| robust_position(X)
| smaller_or_equal(age(X,skolemFOFtoCNF_T_1(X)),tau) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [T,X] :
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
sigma = tau,
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_19,plain,
robust_position(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_20,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_1_21,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_1_20]) ).
fof(normalize_1_22,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_21]) ).
fof(normalize_1_23,plain,
! [X,Y] :
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
greater(sigma,zero),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_25,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_1_26,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),sigma),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_30,plain,
! [T,X] :
( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_31,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_32,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_1_31]) ).
fof(normalize_1_33,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_1_32]) ).
fof(normalize_1_34,plain,
! [T,T0,X] :
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_35,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_1_36,plain,
! [T0,X] :
( age(X,T0) != zero
| ~ organization(X)
| ! [T] :
( ~ dissimilar(X,T0,T)
<=> ~ greater(age(X,T),sigma) ) ),
inference(specialize,[],[normalize_1_35]) ).
fof(normalize_1_37,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_1_36]) ).
fof(normalize_1_38,plain,
! [T,T0,X] :
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_39,plain,
~ has_endowment(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_4]) ).
cnf(refute_1_0,plain,
( ~ has_immunity(X,T)
| ~ organization(X)
| has_endowment(X) ),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| has_endowment(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_1_0:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_2,plain,
( ~ has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ organization(skolemFOFtoCNF_X_1)
| has_endowment(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_1_0:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_3,plain,
hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_4,plain,
( age(X,T) != zero
| ~ organization(X)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ organization(skolemFOFtoCNF_X_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_4:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_6,plain,
age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_7,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| zero != zero
| age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) ),[0],$fot(zero)]]) ).
cnf(refute_1_8,plain,
( zero != zero
| age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = zero ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_6,refute_1_7]) ).
cnf(refute_1_9,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_8,refute_1_5]) ).
cnf(refute_1_10,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_1_11,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_1_10,refute_1_9]) ).
cnf(refute_1_12,plain,
organization(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_13,plain,
is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_11]) ).
cnf(refute_1_14,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_15,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(subst,[],[refute_1_14:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_16,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_13,refute_1_15]) ).
cnf(refute_1_17,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_16]) ).
cnf(refute_1_18,plain,
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),tau) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_19,plain,
sigma = tau,
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_20,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_1_21,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_1_22,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_1_20,refute_1_21]) ).
cnf(refute_1_23,plain,
( sigma != tau
| tau = sigma ),
inference(subst,[],[refute_1_22:[bind(X0,$fot(sigma)),bind(Y0,$fot(tau))]]) ).
cnf(refute_1_24,plain,
tau = sigma,
inference(resolve,[$cnf( $equal(sigma,tau) )],[refute_1_19,refute_1_23]) ).
cnf(refute_1_25,plain,
( tau != sigma
| ~ smaller_or_equal(age(X,T),sigma)
| smaller_or_equal(age(X,T),tau) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(X,T),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_1_26,plain,
( ~ smaller_or_equal(age(X,T),sigma)
| smaller_or_equal(age(X,T),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_1_24,refute_1_25]) ).
cnf(refute_1_27,plain,
( ~ positional_advantage(X,T)
| ~ robust_position(X)
| ~ smaller_or_equal(age(X,T),sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(X,T),tau) )],[refute_1_26,refute_1_18]) ).
cnf(refute_1_28,plain,
( ~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ robust_position(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),sigma) ),
inference(subst,[],[refute_1_27:[bind(T,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_29,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ smaller_or_equal(zero,sigma)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),sigma) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),sigma) ),[0],$fot(zero)]]) ).
cnf(refute_1_30,plain,
( ~ smaller_or_equal(zero,sigma)
| smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),sigma) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_6,refute_1_29]) ).
cnf(refute_1_31,plain,
( ~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ robust_position(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(zero,sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),sigma) )],[refute_1_30,refute_1_28]) ).
cnf(refute_1_32,plain,
robust_position(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_33,plain,
( ~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ smaller_or_equal(zero,sigma) ),
inference(resolve,[$cnf( robust_position(skolemFOFtoCNF_X_1) )],[refute_1_32,refute_1_31]) ).
cnf(refute_1_34,plain,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_35,plain,
( ~ smaller(zero,sigma)
| smaller_or_equal(zero,sigma) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(zero)),bind(Y,$fot(sigma))]]) ).
cnf(refute_1_36,plain,
greater(sigma,zero),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_37,plain,
( ~ greater(Y,X)
| smaller(X,Y) ),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_38,plain,
( ~ greater(sigma,zero)
| smaller(zero,sigma) ),
inference(subst,[],[refute_1_37:[bind(X,$fot(zero)),bind(Y,$fot(sigma))]]) ).
cnf(refute_1_39,plain,
smaller(zero,sigma),
inference(resolve,[$cnf( greater(sigma,zero) )],[refute_1_36,refute_1_38]) ).
cnf(refute_1_40,plain,
smaller_or_equal(zero,sigma),
inference(resolve,[$cnf( smaller(zero,sigma) )],[refute_1_39,refute_1_35]) ).
cnf(refute_1_41,plain,
~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( smaller_or_equal(zero,sigma) )],[refute_1_40,refute_1_33]) ).
cnf(refute_1_42,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_17,refute_1_41]) ).
cnf(refute_1_43,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != mod2
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != mod2
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) ),[1],$fot(mod2)]]) ).
cnf(refute_1_44,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != mod2
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),mod2) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)) )],[refute_1_44,refute_1_3]) ).
cnf(refute_1_46,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_14:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_47,plain,
smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),sigma),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_48,plain,
( ~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ robust_position(skolemFOFtoCNF_X_1)
| ~ smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),sigma) ),
inference(subst,[],[refute_1_27:[bind(T,$fot(skolemFOFtoCNF_T1_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_49,plain,
( ~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| ~ robust_position(skolemFOFtoCNF_X_1) ),
inference(resolve,[$cnf( smaller_or_equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),sigma) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
~ positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( robust_position(skolemFOFtoCNF_X_1) )],[refute_1_32,refute_1_49]) ).
cnf(refute_1_51,plain,
( ~ greater(age(X,T),tau)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_52,plain,
( tau != sigma
| ~ greater(age(X,T),sigma)
| greater(age(X,T),tau) ),
introduced(tautology,[equality,[$cnf( ~ greater(age(X,T),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_1_53,plain,
( ~ greater(age(X,T),sigma)
| greater(age(X,T),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_1_24,refute_1_52]) ).
cnf(refute_1_54,plain,
( ~ greater(age(X,T),sigma)
| ~ robust_position(X)
| positional_advantage(X,T) ),
inference(resolve,[$cnf( greater(age(X,T),tau) )],[refute_1_53,refute_1_51]) ).
cnf(refute_1_55,plain,
( ~ greater(age(skolemFOFtoCNF_X_1,X_372),sigma)
| ~ robust_position(skolemFOFtoCNF_X_1)
| positional_advantage(skolemFOFtoCNF_X_1,X_372) ),
inference(subst,[],[refute_1_54:[bind(T,$fot(X_372)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_56,plain,
( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_57,plain,
( ~ is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_318)
| is_aligned(skolemFOFtoCNF_X_1,X_318) ),
inference(subst,[],[refute_1_56:[bind(T,$fot(X_318)),bind(T0,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_58,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_318)
| is_aligned(skolemFOFtoCNF_X_1,X_318) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_13,refute_1_57]) ).
cnf(refute_1_59,plain,
( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_318)
| is_aligned(skolemFOFtoCNF_X_1,X_318) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_58]) ).
cnf(refute_1_60,plain,
( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_369)
| is_aligned(skolemFOFtoCNF_X_1,X_369) ),
inference(subst,[],[refute_1_59:[bind(X_318,$fot(X_369))]]) ).
cnf(refute_1_61,plain,
( age(X,T0) != zero
| ~ dissimilar(X,T0,T)
| ~ organization(X)
| greater(age(X,T),sigma) ),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_62,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_369)
| ~ organization(skolemFOFtoCNF_X_1)
| greater(age(skolemFOFtoCNF_X_1,X_369),sigma) ),
inference(subst,[],[refute_1_61:[bind(T,$fot(X_369)),bind(T0,$fot(skolemFOFtoCNF_T0_1)),bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_63,plain,
( age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) != zero
| ~ organization(skolemFOFtoCNF_X_1)
| greater(age(skolemFOFtoCNF_X_1,X_369),sigma)
| is_aligned(skolemFOFtoCNF_X_1,X_369) ),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1,X_369) )],[refute_1_60,refute_1_62]) ).
cnf(refute_1_64,plain,
( zero != zero
| ~ organization(skolemFOFtoCNF_X_1)
| greater(age(skolemFOFtoCNF_X_1,X_369),sigma)
| is_aligned(skolemFOFtoCNF_X_1,X_369) ),
inference(resolve,[$cnf( $equal(age(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),zero) )],[refute_1_8,refute_1_63]) ).
cnf(refute_1_65,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| greater(age(skolemFOFtoCNF_X_1,X_369),sigma)
| is_aligned(skolemFOFtoCNF_X_1,X_369) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_1_10,refute_1_64]) ).
cnf(refute_1_66,plain,
( greater(age(skolemFOFtoCNF_X_1,X_369),sigma)
| is_aligned(skolemFOFtoCNF_X_1,X_369) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_65]) ).
cnf(refute_1_67,plain,
( greater(age(skolemFOFtoCNF_X_1,X_372),sigma)
| is_aligned(skolemFOFtoCNF_X_1,X_372) ),
inference(subst,[],[refute_1_66:[bind(X_369,$fot(X_372))]]) ).
cnf(refute_1_68,plain,
( ~ robust_position(skolemFOFtoCNF_X_1)
| is_aligned(skolemFOFtoCNF_X_1,X_372)
| positional_advantage(skolemFOFtoCNF_X_1,X_372) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X_1,X_372),sigma) )],[refute_1_67,refute_1_55]) ).
cnf(refute_1_69,plain,
( is_aligned(skolemFOFtoCNF_X_1,X_372)
| positional_advantage(skolemFOFtoCNF_X_1,X_372) ),
inference(resolve,[$cnf( robust_position(skolemFOFtoCNF_X_1) )],[refute_1_32,refute_1_68]) ).
cnf(refute_1_70,plain,
( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(subst,[],[refute_1_69:[bind(X_372,$fot(skolemFOFtoCNF_T1_1))]]) ).
cnf(refute_1_71,plain,
is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_70,refute_1_50]) ).
cnf(refute_1_72,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_71,refute_1_46]) ).
cnf(refute_1_73,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1)
| positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_72]) ).
cnf(refute_1_74,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_73,refute_1_50]) ).
cnf(refute_1_75,plain,
( hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) != mod2
| mod2 != mod2
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),mod2) ),[0],$fot(mod2)]]) ).
cnf(refute_1_76,plain,
( mod2 != mod2
| hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) = mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),mod2) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
( mod2 != mod2
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1),mod2) )],[refute_1_76,refute_1_45]) ).
cnf(refute_1_78,plain,
mod2 = mod2,
introduced(tautology,[refl,[$fot(mod2)]]) ).
cnf(refute_1_79,plain,
( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) ),
inference(resolve,[$cnf( $equal(mod2,mod2) )],[refute_1_78,refute_1_77]) ).
cnf(refute_1_80,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| has_endowment(skolemFOFtoCNF_X_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T1_1) )],[refute_1_79,refute_1_2]) ).
cnf(refute_1_81,plain,
( has_endowment(skolemFOFtoCNF_X_1)
| has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_80]) ).
cnf(refute_1_82,plain,
~ has_endowment(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_39]) ).
cnf(refute_1_83,plain,
has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_81,refute_1_82]) ).
cnf(refute_1_84,plain,
( ~ organization(skolemFOFtoCNF_X_1)
| has_endowment(skolemFOFtoCNF_X_1) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X_1,skolemFOFtoCNF_T0_1) )],[refute_1_83,refute_1_1]) ).
cnf(refute_1_85,plain,
has_endowment(skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X_1) )],[refute_1_12,refute_1_84]) ).
cnf(refute_1_86,plain,
$false,
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X_1) )],[refute_1_85,refute_1_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n017.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 08:47:34 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.04/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.21
% 1.04/1.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.07/1.23
%------------------------------------------------------------------------------