TSTP Solution File: MGT043+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 22:19:49 EDT 2022
% Result : Theorem 1.20s 1.39s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 98 ( 28 unt; 0 def)
% Number of atoms : 346 ( 93 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 418 ( 170 ~; 161 |; 64 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 96 !; 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(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ) ).
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(lemma_2,conjecture,
! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& external_ties(X,T0) = external_ties(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)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& external_ties(X,T0) = external_ties(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(strip,[],[lemma_2]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& ~ has_immunity(X,T0)
& ~ has_immunity(X,T)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& external_ties(X,T0) = external_ties(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(canonicalize,[],[definition_smaller]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ greater(Y,X)
<=> ~ smaller(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( ~ smaller(X,Y)
| greater(Y,X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ smaller(X,Y)
| greater(Y,X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(canonicalize,[],[definition_greater_or_equal]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( X != Y
| greater_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,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_9,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_8]) ).
fof(normalize_0_10,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_9]) ).
fof(normalize_0_11,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_10]) ).
fof(normalize_0_12,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_13,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_12]) ).
fof(normalize_0_14,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_13]) ).
fof(normalize_0_15,plain,
! [T,T0,X] :
( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
? [T,T0,X] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& external_ties(X,T0) = external_ties(X,T)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& greater(internal_friction(X,T),internal_friction(X,T0))
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,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)
& external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
& greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& organization(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_20,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,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_22]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( X != Y
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,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_26,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_25]) ).
fof(normalize_0_27,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_26]) ).
fof(normalize_0_28,plain,
! [T,T0,X] :
( ~ 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)) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_30,plain,
greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_31,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_32,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
( ~ smaller(X,Y)
| greater(Y,X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))),bind(Y,$fot(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_2,plain,
( X != Y
| greater_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( Y != Y
| greater_or_equal(Y,Y) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(Y))]]) ).
cnf(refute_0_4,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_5,plain,
greater_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T)),
inference(subst,[],[refute_0_5:[bind(Y,$fot(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_7,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_11]) ).
cnf(refute_0_8,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,X_285))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,X_285))
| ~ organization(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,X_285)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,X_285)) ),
inference(subst,[],[refute_0_7:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(T0,$fot(X_285)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_10,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != external_ties(skolemFOFtoCNF_X,X_45)
| ~ organization(skolemFOFtoCNF_X)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = position(skolemFOFtoCNF_X,X_45) ),
inference(subst,[],[refute_0_9:[bind(T,$fot(skolemFOFtoCNF_T0)),bind(T0,$fot(X_45)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_12,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != external_ties(skolemFOFtoCNF_X,X_45)
| external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = external_ties(skolemFOFtoCNF_X,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),[1],$fot(external_ties(skolemFOFtoCNF_X,X_45))]]) ).
cnf(refute_0_13,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != external_ties(skolemFOFtoCNF_X,X_45)
| external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = external_ties(skolemFOFtoCNF_X,X_45) ),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != external_ties(skolemFOFtoCNF_X,X_45)
| ~ organization(skolemFOFtoCNF_X)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = position(skolemFOFtoCNF_X,X_45) ),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),external_ties(skolemFOFtoCNF_X,X_45)) )],[refute_0_13,refute_0_10]) ).
cnf(refute_0_15,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_16,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != external_ties(skolemFOFtoCNF_X,X_45)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = position(skolemFOFtoCNF_X,X_45) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_16:[bind(X_45,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_18,plain,
external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
introduced(tautology,[refl,[$fot(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T))]]) ).
cnf(refute_0_19,plain,
position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_285))
| greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,X_285)) ),
introduced(tautology,[equality,[$cnf( ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,X_285)) ),[0],$fot(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T))]]) ).
cnf(refute_0_21,plain,
( ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_285))
| greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,X_285)) ),
inference(resolve,[$cnf( $equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,X_285))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_285))
| ~ organization(skolemFOFtoCNF_X)
| has_immunity(skolemFOFtoCNF_X,X_285)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,X_285)) ),
inference(resolve,[$cnf( greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),position(skolemFOFtoCNF_X,X_285)) )],[refute_0_21,refute_0_8]) ).
cnf(refute_0_23,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,X_285))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_285))
| has_immunity(skolemFOFtoCNF_X,X_285)
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,X_285)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_25,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,X_285))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_285))
| has_immunity(skolemFOFtoCNF_X,X_285)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,X_285)) ),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| ~ greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_25:[bind(X_285,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_27,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater_or_equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ smaller(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T))),bind(Y,$fot(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)))]]) ).
cnf(refute_0_29,plain,
( X != Y
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_30,plain,
( Y != Y
| smaller_or_equal(Y,Y) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(Y))]]) ).
cnf(refute_0_31,plain,
smaller_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_4,refute_0_30]) ).
cnf(refute_0_32,plain,
smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T)),
inference(subst,[],[refute_0_31:[bind(Y,$fot(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_33,plain,
( ~ 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)) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_34,plain,
( ~ greater(internal_friction(skolemFOFtoCNF_X,X_81),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| smaller(capability(skolemFOFtoCNF_X,X_81),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_33:[bind(T,$fot(X_81)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_35,plain,
stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_36,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_37,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_38,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_38:[bind(X0,$fot(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))),bind(Y0,$fot(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)))]]) ).
cnf(refute_0_40,plain,
stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) = stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(resolve,[$cnf( $equal(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) != stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),[1],$fot(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))]]) ).
cnf(refute_0_42,plain,
( ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( $equal(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ greater(internal_friction(skolemFOFtoCNF_X,X_81),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| smaller(capability(skolemFOFtoCNF_X,X_81),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_42,refute_0_34]) ).
cnf(refute_0_44,plain,
( ~ greater(internal_friction(skolemFOFtoCNF_X,X_81),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,X_81),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| smaller(capability(skolemFOFtoCNF_X,X_81),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T))
| smaller(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_44:[bind(X_81,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_46,plain,
( ~ greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| smaller(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( smaller_or_equal(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_32,refute_0_45]) ).
cnf(refute_0_47,plain,
greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_48,plain,
smaller(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( greater(internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T),internal_friction(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_47,refute_0_46]) ).
cnf(refute_0_49,plain,
greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( smaller(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_48,refute_0_28]) ).
cnf(refute_0_50,plain,
( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_49,refute_0_27]) ).
cnf(refute_0_51,plain,
~ has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_52,plain,
smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( has_immunity(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( smaller(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T)) )],[refute_0_52,refute_0_1]) ).
cnf(refute_0_54,plain,
~ greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_55,plain,
$false,
inference(resolve,[$cnf( greater(hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T),hazard_of_mortality(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_53,refute_0_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 11:50:37 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.20/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.39
% 1.20/1.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.20/1.40
%------------------------------------------------------------------------------