TSTP Solution File: MGT060+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT060+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 22:19:58 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 15
% Syntax : Number of formulae : 112 ( 31 unt; 0 def)
% Number of atoms : 377 ( 112 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 398 ( 133 ~; 220 |; 34 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 44 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(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_18a,axiom,
greater(high,mod1) ).
fof(assumption_18b,axiom,
greater(mod1,low) ).
fof(assumption_18c,axiom,
greater(low,very_low) ).
fof(assumption_18e,axiom,
greater(mod2,low) ).
fof(assumption_3,conjecture,
! [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(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(strip,[],[assumption_3]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
greater(mod1,low),
inference(canonicalize,[],[assumption_18b]) ).
fof(normalize_0_1,plain,
? [T,T0,X] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_2,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
& organization(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,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_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(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_6]) ).
fof(normalize_0_8,plain,
! [T,X] :
( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,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_7]) ).
fof(normalize_0_11,plain,
! [T,X] :
( ~ organization(X)
| hazard_of_mortality(X,T) = high
| has_immunity(X,T)
| is_aligned(X,T)
| positional_advantage(X,T) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_12,plain,
! [T,X] :
( ~ is_aligned(X,T)
| ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low
| has_immunity(X,T) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_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_0_7]) ).
fof(normalize_0_14,plain,
greater(low,very_low),
inference(canonicalize,[],[assumption_18c]) ).
fof(normalize_0_15,plain,
greater(mod2,low),
inference(canonicalize,[],[assumption_18e]) ).
fof(normalize_0_16,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[meaning_postulate_greater_transitive]) ).
fof(normalize_0_17,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_19,plain,
greater(high,mod1),
inference(canonicalize,[],[assumption_18a]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[meaning_postulate_greater_strict]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(specialize,[],[normalize_0_20]) ).
cnf(refute_0_0,plain,
greater(mod1,low),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low ),
inference(subst,[],[refute_0_3:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low,
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != very_low
| ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),[1],$fot(very_low)]]) ).
cnf(refute_0_9,plain,
( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),very_low) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,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_10]) ).
cnf(refute_0_12,plain,
( ~ organization(skolemFOFtoCNF_X)
| ~ positional_advantage(skolemFOFtoCNF_X,X_164)
| hazard_of_mortality(skolemFOFtoCNF_X,X_164) = mod1
| has_immunity(skolemFOFtoCNF_X,X_164)
| is_aligned(skolemFOFtoCNF_X,X_164) ),
inference(subst,[],[refute_0_11:[bind(T,$fot(X_164)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_13,plain,
( ~ organization(X)
| hazard_of_mortality(X,T) = high
| has_immunity(X,T)
| is_aligned(X,T)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_14,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_162) = high
| has_immunity(skolemFOFtoCNF_X,X_162)
| is_aligned(skolemFOFtoCNF_X,X_162)
| positional_advantage(skolemFOFtoCNF_X,X_162) ),
inference(subst,[],[refute_0_13:[bind(T,$fot(X_162)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_15,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_162) = high
| has_immunity(skolemFOFtoCNF_X,X_162)
| is_aligned(skolemFOFtoCNF_X,X_162)
| positional_advantage(skolemFOFtoCNF_X,X_162) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_14]) ).
cnf(refute_0_16,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_164) = high
| has_immunity(skolemFOFtoCNF_X,X_164)
| is_aligned(skolemFOFtoCNF_X,X_164)
| positional_advantage(skolemFOFtoCNF_X,X_164) ),
inference(subst,[],[refute_0_15:[bind(X_162,$fot(X_164))]]) ).
cnf(refute_0_17,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_164) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_164) = mod1
| has_immunity(skolemFOFtoCNF_X,X_164)
| is_aligned(skolemFOFtoCNF_X,X_164) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X,X_164) )],[refute_0_16,refute_0_12]) ).
cnf(refute_0_18,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_164) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_164) = mod1
| has_immunity(skolemFOFtoCNF_X,X_164)
| is_aligned(skolemFOFtoCNF_X,X_164) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_184) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = mod1
| has_immunity(skolemFOFtoCNF_X,X_184)
| is_aligned(skolemFOFtoCNF_X,X_184) ),
inference(subst,[],[refute_0_18:[bind(X_164,$fot(X_184))]]) ).
cnf(refute_0_20,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| ~ positional_advantage(X,T)
| hazard_of_mortality(X,T) = low
| has_immunity(X,T) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_21,plain,
( ~ is_aligned(skolemFOFtoCNF_X,X_166)
| ~ organization(skolemFOFtoCNF_X)
| ~ positional_advantage(skolemFOFtoCNF_X,X_166)
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = low
| has_immunity(skolemFOFtoCNF_X,X_166) ),
inference(subst,[],[refute_0_20:[bind(T,$fot(X_166)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_22,plain,
( ~ is_aligned(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = mod2
| has_immunity(X,T)
| positional_advantage(X,T) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_23,plain,
( ~ is_aligned(skolemFOFtoCNF_X,X_165)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod2
| has_immunity(skolemFOFtoCNF_X,X_165)
| positional_advantage(skolemFOFtoCNF_X,X_165) ),
inference(subst,[],[refute_0_22:[bind(T,$fot(X_165)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_24,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_165) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod1
| has_immunity(skolemFOFtoCNF_X,X_165)
| is_aligned(skolemFOFtoCNF_X,X_165) ),
inference(subst,[],[refute_0_18:[bind(X_164,$fot(X_165))]]) ).
cnf(refute_0_25,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod2
| has_immunity(skolemFOFtoCNF_X,X_165)
| positional_advantage(skolemFOFtoCNF_X,X_165) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,X_165) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_165) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_165) = mod2
| has_immunity(skolemFOFtoCNF_X,X_165)
| positional_advantage(skolemFOFtoCNF_X,X_165) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_25]) ).
cnf(refute_0_27,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_166) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod2
| has_immunity(skolemFOFtoCNF_X,X_166)
| positional_advantage(skolemFOFtoCNF_X,X_166) ),
inference(subst,[],[refute_0_26:[bind(X_165,$fot(X_166))]]) ).
cnf(refute_0_28,plain,
( ~ is_aligned(skolemFOFtoCNF_X,X_166)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = low
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod2
| has_immunity(skolemFOFtoCNF_X,X_166) ),
inference(resolve,[$cnf( positional_advantage(skolemFOFtoCNF_X,X_166) )],[refute_0_27,refute_0_21]) ).
cnf(refute_0_29,plain,
( ~ is_aligned(skolemFOFtoCNF_X,X_166)
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = low
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_166) = mod2
| has_immunity(skolemFOFtoCNF_X,X_166) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ is_aligned(skolemFOFtoCNF_X,X_184)
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = low
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = mod2
| has_immunity(skolemFOFtoCNF_X,X_184) ),
inference(subst,[],[refute_0_29:[bind(X_166,$fot(X_184))]]) ).
cnf(refute_0_31,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,X_184) = high
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = low
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,X_184) = mod2
| has_immunity(skolemFOFtoCNF_X,X_184) ),
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,X_184) )],[refute_0_19,refute_0_30]) ).
cnf(refute_0_32,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = high
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod2
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_31:[bind(X_184,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_33,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != mod2
| ~ greater(mod2,very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),[0],$fot(mod2)]]) ).
cnf(refute_0_34,plain,
( ~ greater(mod2,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = high
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),mod2) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ greater(mod2,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = high
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) )],[refute_0_34,refute_0_10]) ).
cnf(refute_0_36,plain,
greater(low,very_low),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_37,plain,
greater(mod2,low),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_38,plain,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_39,plain,
( ~ greater(low,X_29)
| ~ greater(mod2,low)
| greater(mod2,X_29) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(mod2)),bind(Y,$fot(low)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_40,plain,
( ~ greater(low,X_29)
| greater(mod2,X_29) ),
inference(resolve,[$cnf( greater(mod2,low) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ greater(low,very_low)
| greater(mod2,very_low) ),
inference(subst,[],[refute_0_40:[bind(X_29,$fot(very_low))]]) ).
cnf(refute_0_42,plain,
greater(mod2,very_low),
inference(resolve,[$cnf( greater(low,very_low) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = high
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(mod2,very_low) )],[refute_0_42,refute_0_35]) ).
cnf(refute_0_44,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_45,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = high
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1 ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != high
| ~ greater(high,very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),[0],$fot(high)]]) ).
cnf(refute_0_47,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),high) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1 ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) )],[refute_0_47,refute_0_10]) ).
cnf(refute_0_49,plain,
greater(high,mod1),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_50,plain,
( ~ greater(X_27,mod1)
| ~ greater(mod1,low)
| greater(X_27,low) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(X_27)),bind(Y,$fot(mod1)),bind(Z,$fot(low))]]) ).
cnf(refute_0_51,plain,
( ~ greater(X_27,mod1)
| greater(X_27,low) ),
inference(resolve,[$cnf( greater(mod1,low) )],[refute_0_0,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ greater(high,mod1)
| greater(high,low) ),
inference(subst,[],[refute_0_51:[bind(X_27,$fot(high))]]) ).
cnf(refute_0_53,plain,
greater(high,low),
inference(resolve,[$cnf( greater(high,mod1) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ greater(X_27,low)
| ~ greater(low,very_low)
| greater(X_27,very_low) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(X_27)),bind(Y,$fot(low)),bind(Z,$fot(very_low))]]) ).
cnf(refute_0_55,plain,
( ~ greater(X_27,low)
| greater(X_27,very_low) ),
inference(resolve,[$cnf( greater(low,very_low) )],[refute_0_36,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ greater(high,low)
| greater(high,very_low) ),
inference(subst,[],[refute_0_55:[bind(X_27,$fot(high))]]) ).
cnf(refute_0_57,plain,
greater(high,very_low),
inference(resolve,[$cnf( greater(high,low) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1 ),
inference(resolve,[$cnf( greater(high,very_low) )],[refute_0_57,refute_0_48]) ).
cnf(refute_0_59,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != mod1
| ~ greater(mod1,very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),[0],$fot(mod1)]]) ).
cnf(refute_0_60,plain,
( ~ greater(mod1,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),mod1) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ greater(mod1,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = low ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) )],[refute_0_60,refute_0_10]) ).
cnf(refute_0_62,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != low
| ~ greater(low,very_low)
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),[0],$fot(low)]]) ).
cnf(refute_0_63,plain,
( ~ greater(low,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),low) )],[refute_0_58,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ greater(low,very_low)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1 ),
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) )],[refute_0_63,refute_0_10]) ).
cnf(refute_0_65,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = mod1,
inference(resolve,[$cnf( greater(low,very_low) )],[refute_0_36,refute_0_64]) ).
cnf(refute_0_66,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != mod1
| mod1 = low ),
introduced(tautology,[equality,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),low) ),[0],$fot(mod1)]]) ).
cnf(refute_0_67,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != low
| mod1 = low ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),mod1) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ greater(mod1,very_low)
| mod1 = low ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),low) )],[refute_0_61,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ greater(low,X_29)
| ~ greater(mod1,low)
| greater(mod1,X_29) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(mod1)),bind(Y,$fot(low)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_70,plain,
( ~ greater(low,X_29)
| greater(mod1,X_29) ),
inference(resolve,[$cnf( greater(mod1,low) )],[refute_0_0,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ greater(low,very_low)
| greater(mod1,very_low) ),
inference(subst,[],[refute_0_70:[bind(X_29,$fot(very_low))]]) ).
cnf(refute_0_72,plain,
greater(mod1,very_low),
inference(resolve,[$cnf( greater(low,very_low) )],[refute_0_36,refute_0_71]) ).
cnf(refute_0_73,plain,
mod1 = low,
inference(resolve,[$cnf( greater(mod1,very_low) )],[refute_0_72,refute_0_68]) ).
cnf(refute_0_74,plain,
( mod1 != low
| ~ greater(mod1,low)
| greater(low,low) ),
introduced(tautology,[equality,[$cnf( greater(mod1,low) ),[0],$fot(low)]]) ).
cnf(refute_0_75,plain,
( ~ greater(mod1,low)
| greater(low,low) ),
inference(resolve,[$cnf( $equal(mod1,low) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
greater(low,low),
inference(resolve,[$cnf( greater(mod1,low) )],[refute_0_0,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_78,plain,
~ greater(low,low),
inference(subst,[],[refute_0_77:[bind(X,$fot(low)),bind(Y,$fot(low))]]) ).
cnf(refute_0_79,plain,
$false,
inference(resolve,[$cnf( greater(low,low) )],[refute_0_76,refute_0_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 07:23:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55
% 0.20/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.56
%------------------------------------------------------------------------------