TSTP Solution File: MGT046+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT046+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 22:19:51 EDT 2022
% Result : Theorem 7.37s 7.51s
% Output : CNFRefutation 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 106 ( 23 unt; 0 def)
% Number of atoms : 359 ( 64 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 430 ( 177 ~; 178 |; 51 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 188 ( 15 sgn 124 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ) ).
fof(definition_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ) ).
fof(assumption_1,axiom,
! [X,T] :
( ( organization(X)
& ~ has_endowment(X) )
=> ~ has_immunity(X,T) ) ).
fof(assumption_4,axiom,
! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> ( ( ( greater(capability(X,T),capability(X,T0))
& greater_or_equal(position(X,T),position(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(capability(X,T),capability(X,T0))
& greater(position(X,T),position(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( capability(X,T) = capability(X,T0)
& position(X,T) = position(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ) ).
fof(assumption_5,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& internal_friction(X,T) = internal_friction(X,T0) )
=> capability(X,T) = capability(X,T0) ) ) ) ).
fof(assumption_6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) )
& ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) ) ) ) ).
fof(assumption_7,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) ).
fof(assumption_8,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(external_ties(X,T),external_ties(X,T0)) ) ).
fof(assumption_9,axiom,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ) ).
fof(theorem_1,conjecture,
! [X,T0,T] :
( ( organization(X)
& ~ has_endowment(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ).
fof(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& ~ has_endowment(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(strip,[],[theorem_1]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& ~ has_endowment(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
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,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(canonicalize,[],[definition_greater_or_equal]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ( X != Y
| greater_or_equal(X,Y) )
& ( ~ greater(X,Y)
| greater_or_equal(X,Y) )
& ( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( external_ties(X,T) != external_ties(X,T0)
| position(X,T) = position(X,T0) )
& ! [T,T0] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| greater(position(X,T),position(X,T0)) ) ) ),
inference(canonicalize,[],[assumption_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( external_ties(X,T) != external_ties(X,T0)
| position(X,T) = position(X,T0) )
& ! [T,T0] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| greater(position(X,T),position(X,T0)) ) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [T,T0,X] :
( ( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) )
& ( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [T,T0,X] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
? [T,T0,X] :
( ~ has_endowment(X)
& ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_12,plain,
( ~ has_endowment(skolemFOFtoCNF_X)
& ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& organization(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(canonicalize,[],[assumption_8]) ).
fof(normalize_0_15,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_17,plain,
! [T,T0,X] :
( ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| ( ( capability(X,T) != capability(X,T0)
| position(X,T) != position(X,T0)
| hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ~ greater(capability(X,T),capability(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0))
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
inference(canonicalize,[],[assumption_4]) ).
fof(normalize_0_18,plain,
! [T,T0,X] :
( ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| ( ( capability(X,T) != capability(X,T0)
| position(X,T) != position(X,T0)
| hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ~ greater(capability(X,T),capability(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0))
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [T,T0,X] :
( ( capability(X,T) != capability(X,T0)
| position(X,T) != position(X,T0)
| ~ organization(X)
| hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)
| has_immunity(X,T)
| has_immunity(X,T0) )
& ( ~ greater(capability(X,T),capability(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0))
| ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [T,T0,X] :
( ~ greater(capability(X,T),capability(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(canonicalize,[],[assumption_7]) ).
fof(normalize_0_22,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ( X != Y
| smaller_or_equal(X,Y) )
& ( ~ smaller(X,Y)
| smaller_or_equal(X,Y) )
& ( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X,Y] :
( X != Y
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| capability(X,T) = capability(X,T0) )
& ! [T,T0] :
( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ! [T,T0] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ) ),
inference(canonicalize,[],[assumption_5]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| capability(X,T) = capability(X,T0) )
& ! [T,T0] :
( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ! [T,T0] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [T,T0,X] :
( ( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| ~ organization(X)
| capability(X,T) = capability(X,T0) )
& ( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [T,T0,X] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : internal_friction(X,T) = internal_friction(X,T0) ),
inference(canonicalize,[],[assumption_9]) ).
fof(normalize_0_32,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : internal_friction(X,T) = internal_friction(X,T0) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [T,T0,X] :
( ~ organization(X)
| internal_friction(X,T) = internal_friction(X,T0) ),
inference(clausify,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_35,plain,
~ has_endowment(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_12]) ).
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_T)
| ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
( ~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T))),bind(Y,$fot(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)))]]) ).
cnf(refute_0_5,plain,
( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_5:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_7,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_9,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_8:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_10,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_12,plain,
greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_14,refute_0_4]) ).
cnf(refute_0_16,plain,
( ~ greater(capability(X,T),capability(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ organization(X)
| has_immunity(X,T)
| has_immunity(X,T0)
| smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_16:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_18,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_19:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_21,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_7,refute_0_20]) ).
cnf(refute_0_22,plain,
greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_21]) ).
cnf(refute_0_23,plain,
( X != Y
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( Y != Y
| smaller_or_equal(Y,Y) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(Y))]]) ).
cnf(refute_0_25,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_26,plain,
smaller_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_25,refute_0_24]) ).
cnf(refute_0_27,plain,
smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_362),internal_friction(skolemFOFtoCNF_X,X_362)),
inference(subst,[],[refute_0_26:[bind(Y,$fot(internal_friction(skolemFOFtoCNF_X,X_362)))]]) ).
cnf(refute_0_28,plain,
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_29,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_357),stock_of_knowledge(skolemFOFtoCNF_X,X_358))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_358))
| greater(capability(skolemFOFtoCNF_X,X_357),capability(skolemFOFtoCNF_X,X_358)) ),
inference(subst,[],[refute_0_28:[bind(T,$fot(X_357)),bind(T0,$fot(X_358)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_30,plain,
( ~ organization(X)
| internal_friction(X,T) = internal_friction(X,T0) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_31,plain,
( ~ organization(skolemFOFtoCNF_X)
| internal_friction(skolemFOFtoCNF_X,X_21) = internal_friction(skolemFOFtoCNF_X,X_22) ),
inference(subst,[],[refute_0_30:[bind(T,$fot(X_21)),bind(T0,$fot(X_22)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_32,plain,
internal_friction(skolemFOFtoCNF_X,X_21) = internal_friction(skolemFOFtoCNF_X,X_22),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_31]) ).
cnf(refute_0_33,plain,
internal_friction(skolemFOFtoCNF_X,X_21) = internal_friction(skolemFOFtoCNF_X,X_357),
inference(subst,[],[refute_0_32:[bind(X_22,$fot(X_357))]]) ).
cnf(refute_0_34,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_35,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_36,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( internal_friction(skolemFOFtoCNF_X,X_21) != internal_friction(skolemFOFtoCNF_X,X_357)
| internal_friction(skolemFOFtoCNF_X,X_357) = internal_friction(skolemFOFtoCNF_X,X_21) ),
inference(subst,[],[refute_0_36:[bind(X0,$fot(internal_friction(skolemFOFtoCNF_X,X_21))),bind(Y0,$fot(internal_friction(skolemFOFtoCNF_X,X_357)))]]) ).
cnf(refute_0_38,plain,
internal_friction(skolemFOFtoCNF_X,X_357) = internal_friction(skolemFOFtoCNF_X,X_21),
inference(resolve,[$cnf( $equal(internal_friction(skolemFOFtoCNF_X,X_21),internal_friction(skolemFOFtoCNF_X,X_357)) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
( internal_friction(skolemFOFtoCNF_X,X_357) != internal_friction(skolemFOFtoCNF_X,X_21)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_21),internal_friction(skolemFOFtoCNF_X,X_358))
| smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_358)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_358)) ),[0],$fot(internal_friction(skolemFOFtoCNF_X,X_21))]]) ).
cnf(refute_0_40,plain,
( ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_21),internal_friction(skolemFOFtoCNF_X,X_358))
| smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_358)) ),
inference(resolve,[$cnf( $equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_21)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_357),stock_of_knowledge(skolemFOFtoCNF_X,X_358))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_21),internal_friction(skolemFOFtoCNF_X,X_358))
| greater(capability(skolemFOFtoCNF_X,X_357),capability(skolemFOFtoCNF_X,X_358)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_357),internal_friction(skolemFOFtoCNF_X,X_358)) )],[refute_0_40,refute_0_29]) ).
cnf(refute_0_42,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_357),stock_of_knowledge(skolemFOFtoCNF_X,X_358))
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_21),internal_friction(skolemFOFtoCNF_X,X_358))
| greater(capability(skolemFOFtoCNF_X,X_357),capability(skolemFOFtoCNF_X,X_358)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_361),stock_of_knowledge(skolemFOFtoCNF_X,X_362))
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_362),internal_friction(skolemFOFtoCNF_X,X_362))
| greater(capability(skolemFOFtoCNF_X,X_361),capability(skolemFOFtoCNF_X,X_362)) ),
inference(subst,[],[refute_0_42:[bind(X_21,$fot(X_362)),bind(X_357,$fot(X_361)),bind(X_358,$fot(X_362))]]) ).
cnf(refute_0_44,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_361),stock_of_knowledge(skolemFOFtoCNF_X,X_362))
| greater(capability(skolemFOFtoCNF_X,X_361),capability(skolemFOFtoCNF_X,X_362)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_362),internal_friction(skolemFOFtoCNF_X,X_362)) )],[refute_0_27,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_44:[bind(X_361,$fot(skolemFOFtoCNF_T)),bind(X_362,$fot(skolemFOFtoCNF_T0))]]) ).
cnf(refute_0_46,plain,
greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_22,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ organization(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_46,refute_0_18]) ).
cnf(refute_0_48,plain,
( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_47]) ).
cnf(refute_0_49,plain,
~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_50,plain,
( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_50,refute_0_2]) ).
cnf(refute_0_52,plain,
( has_endowment(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_51]) ).
cnf(refute_0_53,plain,
~ has_endowment(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_54,plain,
has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ organization(skolemFOFtoCNF_X)
| has_endowment(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_54,refute_0_1]) ).
cnf(refute_0_56,plain,
has_endowment(skolemFOFtoCNF_X),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_55]) ).
cnf(refute_0_57,plain,
$false,
inference(resolve,[$cnf( has_endowment(skolemFOFtoCNF_X) )],[refute_0_56,refute_0_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT046+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n022.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 11:52:04 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.37/7.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.37/7.51
% 7.37/7.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.37/7.52
%------------------------------------------------------------------------------