TSTP Solution File: MGT059+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 132 ( 49 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 149 ( 50 ~; 57 |; 32 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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_2,conjecture,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) ).
fof(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(strip,[],[assumption_2]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T,T0,X] :
( hazard_of_mortality(X,T0) != hazard_of_mortality(X,T)
& has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
& organization(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,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_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(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ has_immunity(X,T)
| ~ organization(X)
| hazard_of_mortality(X,T) = very_low ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low ),
inference(subst,[],[refute_0_2:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_4,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = very_low,
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != very_low
| very_low != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),[0],$fot(very_low)]]) ).
cnf(refute_0_8,plain,
( very_low != hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),very_low) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = very_low ),
inference(subst,[],[refute_0_2:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
( ~ organization(skolemFOFtoCNF_X)
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = very_low ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = very_low,
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != very_low
| very_low != very_low
| very_low = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
introduced(tautology,[equality,[$cnf( ~ $equal(very_low,hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),[1],$fot(very_low)]]) ).
cnf(refute_0_14,plain,
( very_low != very_low
| very_low = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),very_low) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( very_low != very_low
| hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( $equal(very_low,hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_14,refute_0_8]) ).
cnf(refute_0_16,plain,
very_low != very_low,
inference(resolve,[$cnf( $equal(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_15,refute_0_0]) ).
cnf(refute_0_17,plain,
very_low = very_low,
introduced(tautology,[refl,[$fot(very_low)]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( $equal(very_low,very_low) )],[refute_0_17,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.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 08:23:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------