TSTP Solution File: PUZ029-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 : Mon Jul 18 18:20:50 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  14 unt;  10 nHn;  44 RR)
%            Number of literals    :   97 (   0 equ;  51 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(boring_old_people,axiom,
    ( dances_on_tightropes(X)
    | eats_pennybuns(X)
    | old(X) ) ).

cnf(giddy_pigs_reated_with_respect,axiom,
    ( ~ pig(X)
    | ~ liable_to_giddiness(X)
    | treated_with_respect(X) ) ).

cnf(wise_ballonists_have_umbrellas,axiom,
    ( ~ wise(X)
    | ~ balloonist(X)
    | has_umbrella(X) ) ).

cnf(dont_look_ridiculous_eating_buns_in_public,axiom,
    ( ~ looks_ridiculous(X)
    | ~ eats_pennybuns(X)
    | ~ eats_lunch_in_public(X) ) ).

cnf(young_balloonists_get_giddy,axiom,
    ( ~ balloonist(X)
    | ~ young(X)
    | liable_to_giddiness(X) ) ).

cnf(fat_ridiculous_off_tightrope_eat_in_public,axiom,
    ( ~ fat(X)
    | ~ looks_ridiculous(X)
    | dances_on_tightropes(X)
    | eats_lunch_in_public(X) ) ).

cnf(wise_giddy_dont_dance_on_tightrope,axiom,
    ( ~ liable_to_giddiness(X)
    | ~ wise(X)
    | ~ dances_on_tightropes(X) ) ).

cnf(pigs_look_ridiculous_with_umbrellas,axiom,
    ( ~ pig(X)
    | ~ has_umbrella(X)
    | looks_ridiculous(X) ) ).

cnf(non_dancers_who_are_respected_are_fat,axiom,
    ( dances_on_tightropes(X)
    | ~ treated_with_respect(X)
    | fat(X) ) ).

cnf(not_young_and_old,axiom,
    ( ~ young(X)
    | ~ old(X) ) ).

cnf(piggy_is_wise,hypothesis,
    wise(piggy) ).

cnf(piggy_is_young,hypothesis,
    young(piggy) ).

cnf(piggy_is_a_pig,hypothesis,
    pig(piggy) ).

cnf(prove_piggy_is_no_balloonist,negated_conjecture,
    balloonist(piggy) ).

cnf(refute_0_0,plain,
    ( ~ has_umbrella(piggy)
    | ~ pig(piggy)
    | looks_ridiculous(piggy) ),
    inference(subst,[],[pigs_look_ridiculous_with_umbrellas:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_1,plain,
    ( ~ has_umbrella(piggy)
    | looks_ridiculous(piggy) ),
    inference(resolve,[$cnf( pig(piggy) )],[piggy_is_a_pig,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ balloonist(piggy)
    | ~ wise(piggy)
    | has_umbrella(piggy) ),
    inference(subst,[],[wise_ballonists_have_umbrellas:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_3,plain,
    ( ~ balloonist(piggy)
    | has_umbrella(piggy) ),
    inference(resolve,[$cnf( wise(piggy) )],[piggy_is_wise,refute_0_2]) ).

cnf(refute_0_4,plain,
    has_umbrella(piggy),
    inference(resolve,[$cnf( balloonist(piggy) )],[prove_piggy_is_no_balloonist,refute_0_3]) ).

cnf(refute_0_5,plain,
    looks_ridiculous(piggy),
    inference(resolve,[$cnf( has_umbrella(piggy) )],[refute_0_4,refute_0_1]) ).

cnf(refute_0_6,plain,
    ( ~ fat(piggy)
    | ~ looks_ridiculous(piggy)
    | dances_on_tightropes(piggy)
    | eats_lunch_in_public(piggy) ),
    inference(subst,[],[fat_ridiculous_off_tightrope_eat_in_public:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_7,plain,
    ( ~ fat(piggy)
    | dances_on_tightropes(piggy)
    | eats_lunch_in_public(piggy) ),
    inference(resolve,[$cnf( looks_ridiculous(piggy) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ treated_with_respect(piggy)
    | dances_on_tightropes(piggy)
    | fat(piggy) ),
    inference(subst,[],[non_dancers_who_are_respected_are_fat:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_9,plain,
    ( ~ liable_to_giddiness(piggy)
    | ~ pig(piggy)
    | treated_with_respect(piggy) ),
    inference(subst,[],[giddy_pigs_reated_with_respect:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_10,plain,
    ( ~ liable_to_giddiness(piggy)
    | treated_with_respect(piggy) ),
    inference(resolve,[$cnf( pig(piggy) )],[piggy_is_a_pig,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ balloonist(piggy)
    | ~ young(piggy)
    | liable_to_giddiness(piggy) ),
    inference(subst,[],[young_balloonists_get_giddy:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_12,plain,
    ( ~ balloonist(piggy)
    | liable_to_giddiness(piggy) ),
    inference(resolve,[$cnf( young(piggy) )],[piggy_is_young,refute_0_11]) ).

cnf(refute_0_13,plain,
    liable_to_giddiness(piggy),
    inference(resolve,[$cnf( balloonist(piggy) )],[prove_piggy_is_no_balloonist,refute_0_12]) ).

cnf(refute_0_14,plain,
    treated_with_respect(piggy),
    inference(resolve,[$cnf( liable_to_giddiness(piggy) )],[refute_0_13,refute_0_10]) ).

cnf(refute_0_15,plain,
    ( dances_on_tightropes(piggy)
    | fat(piggy) ),
    inference(resolve,[$cnf( treated_with_respect(piggy) )],[refute_0_14,refute_0_8]) ).

cnf(refute_0_16,plain,
    ( ~ dances_on_tightropes(piggy)
    | ~ liable_to_giddiness(piggy)
    | ~ wise(piggy) ),
    inference(subst,[],[wise_giddy_dont_dance_on_tightrope:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_17,plain,
    ( ~ dances_on_tightropes(piggy)
    | ~ liable_to_giddiness(piggy) ),
    inference(resolve,[$cnf( wise(piggy) )],[piggy_is_wise,refute_0_16]) ).

cnf(refute_0_18,plain,
    ~ dances_on_tightropes(piggy),
    inference(resolve,[$cnf( liable_to_giddiness(piggy) )],[refute_0_13,refute_0_17]) ).

cnf(refute_0_19,plain,
    fat(piggy),
    inference(resolve,[$cnf( dances_on_tightropes(piggy) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( dances_on_tightropes(piggy)
    | eats_lunch_in_public(piggy) ),
    inference(resolve,[$cnf( fat(piggy) )],[refute_0_19,refute_0_7]) ).

cnf(refute_0_21,plain,
    eats_lunch_in_public(piggy),
    inference(resolve,[$cnf( dances_on_tightropes(piggy) )],[refute_0_20,refute_0_18]) ).

cnf(refute_0_22,plain,
    ( ~ old(piggy)
    | ~ young(piggy) ),
    inference(subst,[],[not_young_and_old:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_23,plain,
    ~ old(piggy),
    inference(resolve,[$cnf( young(piggy) )],[piggy_is_young,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( dances_on_tightropes(piggy)
    | eats_pennybuns(piggy)
    | old(piggy) ),
    inference(subst,[],[boring_old_people:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_25,plain,
    ( dances_on_tightropes(piggy)
    | eats_pennybuns(piggy) ),
    inference(resolve,[$cnf( old(piggy) )],[refute_0_24,refute_0_23]) ).

cnf(refute_0_26,plain,
    ( ~ eats_lunch_in_public(piggy)
    | ~ eats_pennybuns(piggy)
    | ~ looks_ridiculous(piggy) ),
    inference(subst,[],[dont_look_ridiculous_eating_buns_in_public:[bind(X,$fot(piggy))]]) ).

cnf(refute_0_27,plain,
    ( ~ eats_lunch_in_public(piggy)
    | ~ eats_pennybuns(piggy) ),
    inference(resolve,[$cnf( looks_ridiculous(piggy) )],[refute_0_5,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ eats_lunch_in_public(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolve,[$cnf( eats_pennybuns(piggy) )],[refute_0_25,refute_0_27]) ).

cnf(refute_0_29,plain,
    ~ eats_lunch_in_public(piggy),
    inference(resolve,[$cnf( dances_on_tightropes(piggy) )],[refute_0_28,refute_0_18]) ).

cnf(refute_0_30,plain,
    $false,
    inference(resolve,[$cnf( eats_lunch_in_public(piggy) )],[refute_0_21,refute_0_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.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 : Sat May 28 20:29:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------