TSTP Solution File: PUZ029-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n010.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  : 300s
% DateTime : Thu Aug 31 13:12:13 EDT 2023

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   53 (   9 unt;  14 typ;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  133 (  64   ~;  69   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            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   :   30 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    dances_on_tightropes: $i > $o ).

tff(decl_23,type,
    eats_pennybuns: $i > $o ).

tff(decl_24,type,
    old: $i > $o ).

tff(decl_25,type,
    pig: $i > $o ).

tff(decl_26,type,
    liable_to_giddiness: $i > $o ).

tff(decl_27,type,
    treated_with_respect: $i > $o ).

tff(decl_28,type,
    wise: $i > $o ).

tff(decl_29,type,
    balloonist: $i > $o ).

tff(decl_30,type,
    has_umbrella: $i > $o ).

tff(decl_31,type,
    looks_ridiculous: $i > $o ).

tff(decl_32,type,
    eats_lunch_in_public: $i > $o ).

tff(decl_33,type,
    young: $i > $o ).

tff(decl_34,type,
    fat: $i > $o ).

tff(decl_35,type,
    piggy: $i ).

cnf(dont_look_ridiculous_eating_buns_in_public,axiom,
    ( ~ looks_ridiculous(X1)
    | ~ eats_pennybuns(X1)
    | ~ eats_lunch_in_public(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).

cnf(fat_ridiculous_off_tightrope_eat_in_public,axiom,
    ( dances_on_tightropes(X1)
    | eats_lunch_in_public(X1)
    | ~ fat(X1)
    | ~ looks_ridiculous(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).

cnf(non_dancers_who_are_respected_are_fat,axiom,
    ( dances_on_tightropes(X1)
    | fat(X1)
    | ~ treated_with_respect(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).

cnf(giddy_pigs_reated_with_respect,axiom,
    ( treated_with_respect(X1)
    | ~ pig(X1)
    | ~ liable_to_giddiness(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).

cnf(boring_old_people,axiom,
    ( dances_on_tightropes(X1)
    | eats_pennybuns(X1)
    | old(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boring_old_people) ).

cnf(pigs_look_ridiculous_with_umbrellas,axiom,
    ( looks_ridiculous(X1)
    | ~ pig(X1)
    | ~ has_umbrella(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).

cnf(wise_ballonists_have_umbrellas,axiom,
    ( has_umbrella(X1)
    | ~ wise(X1)
    | ~ balloonist(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).

cnf(wise_giddy_dont_dance_on_tightrope,axiom,
    ( ~ liable_to_giddiness(X1)
    | ~ wise(X1)
    | ~ dances_on_tightropes(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).

cnf(young_balloonists_get_giddy,axiom,
    ( liable_to_giddiness(X1)
    | ~ balloonist(X1)
    | ~ young(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).

cnf(young_or_old,axiom,
    ( young(X1)
    | old(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_or_old) ).

cnf(not_young_and_old,axiom,
    ( ~ young(X1)
    | ~ old(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_young_and_old) ).

cnf(prove_piggy_is_no_balloonist,negated_conjecture,
    balloonist(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).

cnf(piggy_is_young,hypothesis,
    young(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_young) ).

cnf(piggy_is_wise,hypothesis,
    wise(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_wise) ).

cnf(piggy_is_a_pig,hypothesis,
    pig(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_a_pig) ).

cnf(c_0_15,axiom,
    ( ~ looks_ridiculous(X1)
    | ~ eats_pennybuns(X1)
    | ~ eats_lunch_in_public(X1) ),
    dont_look_ridiculous_eating_buns_in_public ).

cnf(c_0_16,axiom,
    ( dances_on_tightropes(X1)
    | eats_lunch_in_public(X1)
    | ~ fat(X1)
    | ~ looks_ridiculous(X1) ),
    fat_ridiculous_off_tightrope_eat_in_public ).

cnf(c_0_17,axiom,
    ( dances_on_tightropes(X1)
    | fat(X1)
    | ~ treated_with_respect(X1) ),
    non_dancers_who_are_respected_are_fat ).

cnf(c_0_18,axiom,
    ( treated_with_respect(X1)
    | ~ pig(X1)
    | ~ liable_to_giddiness(X1) ),
    giddy_pigs_reated_with_respect ).

cnf(c_0_19,plain,
    ( dances_on_tightropes(X1)
    | ~ fat(X1)
    | ~ looks_ridiculous(X1)
    | ~ eats_pennybuns(X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    ( fat(X1)
    | dances_on_tightropes(X1)
    | ~ liable_to_giddiness(X1)
    | ~ pig(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( dances_on_tightropes(X1)
    | ~ looks_ridiculous(X1)
    | ~ liable_to_giddiness(X1)
    | ~ pig(X1)
    | ~ eats_pennybuns(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,axiom,
    ( dances_on_tightropes(X1)
    | eats_pennybuns(X1)
    | old(X1) ),
    boring_old_people ).

cnf(c_0_23,axiom,
    ( looks_ridiculous(X1)
    | ~ pig(X1)
    | ~ has_umbrella(X1) ),
    pigs_look_ridiculous_with_umbrellas ).

cnf(c_0_24,axiom,
    ( has_umbrella(X1)
    | ~ wise(X1)
    | ~ balloonist(X1) ),
    wise_ballonists_have_umbrellas ).

cnf(c_0_25,plain,
    ( old(X1)
    | dances_on_tightropes(X1)
    | ~ looks_ridiculous(X1)
    | ~ liable_to_giddiness(X1)
    | ~ pig(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( looks_ridiculous(X1)
    | ~ balloonist(X1)
    | ~ wise(X1)
    | ~ pig(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,axiom,
    ( ~ liable_to_giddiness(X1)
    | ~ wise(X1)
    | ~ dances_on_tightropes(X1) ),
    wise_giddy_dont_dance_on_tightrope ).

cnf(c_0_28,plain,
    ( old(X1)
    | ~ balloonist(X1)
    | ~ wise(X1)
    | ~ liable_to_giddiness(X1)
    | ~ pig(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,axiom,
    ( liable_to_giddiness(X1)
    | ~ balloonist(X1)
    | ~ young(X1) ),
    young_balloonists_get_giddy ).

cnf(c_0_30,axiom,
    ( young(X1)
    | old(X1) ),
    young_or_old ).

cnf(c_0_31,axiom,
    ( ~ young(X1)
    | ~ old(X1) ),
    not_young_and_old ).

cnf(c_0_32,plain,
    ( old(X1)
    | ~ balloonist(X1)
    | ~ wise(X1)
    | ~ pig(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_33,plain,
    ( ~ young(X1)
    | ~ balloonist(X1)
    | ~ wise(X1)
    | ~ pig(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,negated_conjecture,
    balloonist(piggy),
    prove_piggy_is_no_balloonist ).

cnf(c_0_35,hypothesis,
    young(piggy),
    piggy_is_young ).

cnf(c_0_36,hypothesis,
    wise(piggy),
    piggy_is_wise ).

cnf(c_0_37,hypothesis,
    pig(piggy),
    piggy_is_a_pig ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 21:49:34 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.59  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.61  % Total time : 0.005000 s
% 0.19/0.61  % SZS output end Proof
% 0.19/0.61  % Total time : 0.008000 s
%------------------------------------------------------------------------------