TSTP Solution File: PUZ029-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% 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 %s %d

% Computer : n015.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 13:10:58 EDT 2023

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat Aug 26 22:17:08 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.19/0.51  start to proof:theBenchmark
% 0.19/0.56  %-------------------------------------------
% 0.19/0.56  % File        :CSE---1.6
% 0.19/0.56  % Problem     :theBenchmark
% 0.19/0.56  % Transform   :cnf
% 0.19/0.56  % Format      :tptp:raw
% 0.19/0.56  % Command     :java -jar mcs_scs.jar %d %s
% 0.19/0.56  
% 0.19/0.56  % Result      :Theorem 0.000000s
% 0.19/0.56  % Output      :CNFRefutation 0.000000s
% 0.19/0.56  %-------------------------------------------
% 0.19/0.57  %--------------------------------------------------------------------------
% 0.19/0.57  % File     : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.57  % Domain   : Puzzles
% 0.19/0.57  % Problem  : The pigs and balloons puzzle
% 0.19/0.57  % Version  : Especial.
% 0.19/0.57  % English  : 1) All, who neither dance on tight ropes nor eat penny-buns,
% 0.19/0.57  %               are old.
% 0.19/0.57  %            2) Pigs, that are liable to giddiness, are treated with respect.
% 0.19/0.57  %            3) A wise balloonist takes an umbrella with him.
% 0.19/0.57  %            4) No one ought to lunch in public who looks ridiculous and eats
% 0.19/0.57  %               penny-buns.
% 0.19/0.57  %            5) Young creatures, who go up in balloons, are liable to
% 0.19/0.57  %               giddiness.
% 0.19/0.57  %            6) Fat creatures, who look ridiculous, may lunch in public,
% 0.19/0.57  %               provided that they do not dance on tight ropes.
% 0.19/0.57  %            7) No wise creatures dance on tight ropes, if liable to
% 0.19/0.57  %               giddiness.
% 0.19/0.57  %            8) A pig looks ridiculous, carrying an umbrella.
% 0.19/0.57  %            9) All, who do not dance on tight ropes, and who are treated
% 0.19/0.57  %               with respect are fat.
% 0.19/0.57  %            Show that no wise young pigs go up in balloons.
% 0.19/0.57  
% 0.19/0.57  % Refs     : [Car86] Carroll (1986), Lewis Carroll's Symbolic Logic
% 0.19/0.57  % Source   : [ANL]
% 0.19/0.57  % Names    : pigs.ver1.in [ANL]
% 0.19/0.57  
% 0.19/0.57  % Status   : Unsatisfiable
% 0.19/0.57  % Rating   : 0.00 v2.0.0
% 0.19/0.57  % Syntax   : Number of clauses     :   15 (   4 unt;   4 nHn;  13 RR)
% 0.19/0.57  %            Number of literals    :   36 (   0 equ;  19 neg)
% 0.19/0.57  %            Maximal clause size   :    4 (   2 avg)
% 0.19/0.57  %            Maximal term depth    :    1 (   1 avg)
% 0.19/0.57  %            Number of predicates  :   13 (  13 usr;   0 prp; 1-1 aty)
% 0.19/0.57  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 0.19/0.57  %            Number of variables   :   11 (   0 sgn)
% 0.19/0.57  % SPC      : CNF_UNS_EPR_NEQ_NHN
% 0.19/0.57  
% 0.19/0.57  % Comments :
% 0.19/0.57  %--------------------------------------------------------------------------
% 0.19/0.57  cnf(boring_old_people,axiom,
% 0.19/0.57      ( dances_on_tightropes(X)
% 0.19/0.57      | eats_pennybuns(X)
% 0.19/0.57      | old(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(giddy_pigs_reated_with_respect,axiom,
% 0.19/0.57      ( ~ pig(X)
% 0.19/0.57      | ~ liable_to_giddiness(X)
% 0.19/0.57      | treated_with_respect(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(wise_ballonists_have_umbrellas,axiom,
% 0.19/0.57      ( ~ wise(X)
% 0.19/0.57      | ~ balloonist(X)
% 0.19/0.57      | has_umbrella(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(dont_look_ridiculous_eating_buns_in_public,axiom,
% 0.19/0.57      ( ~ looks_ridiculous(X)
% 0.19/0.57      | ~ eats_pennybuns(X)
% 0.19/0.57      | ~ eats_lunch_in_public(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(young_balloonists_get_giddy,axiom,
% 0.19/0.57      ( ~ balloonist(X)
% 0.19/0.57      | ~ young(X)
% 0.19/0.57      | liable_to_giddiness(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(fat_ridiculous_off_tightrope_eat_in_public,axiom,
% 0.19/0.57      ( ~ fat(X)
% 0.19/0.57      | ~ looks_ridiculous(X)
% 0.19/0.57      | dances_on_tightropes(X)
% 0.19/0.57      | eats_lunch_in_public(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(wise_giddy_dont_dance_on_tightrope,axiom,
% 0.19/0.57      ( ~ liable_to_giddiness(X)
% 0.19/0.57      | ~ wise(X)
% 0.19/0.57      | ~ dances_on_tightropes(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(pigs_look_ridiculous_with_umbrellas,axiom,
% 0.19/0.57      ( ~ pig(X)
% 0.19/0.57      | ~ has_umbrella(X)
% 0.19/0.57      | looks_ridiculous(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(non_dancers_who_are_respected_are_fat,axiom,
% 0.19/0.57      ( dances_on_tightropes(X)
% 0.19/0.57      | ~ treated_with_respect(X)
% 0.19/0.57      | fat(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(young_or_old,axiom,
% 0.19/0.57      ( young(X)
% 0.19/0.57      | old(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(not_young_and_old,axiom,
% 0.19/0.57      ( ~ young(X)
% 0.19/0.57      | ~ old(X) ) ).
% 0.19/0.57  
% 0.19/0.57  cnf(piggy_is_wise,hypothesis,
% 0.19/0.57      wise(piggy) ).
% 0.19/0.57  
% 0.19/0.57  cnf(piggy_is_young,hypothesis,
% 0.19/0.57      young(piggy) ).
% 0.19/0.57  
% 0.19/0.57  cnf(piggy_is_a_pig,hypothesis,
% 0.19/0.57      pig(piggy) ).
% 0.19/0.57  
% 0.19/0.57  cnf(prove_piggy_is_no_balloonist,negated_conjecture,
% 0.19/0.57      balloonist(piggy) ).
% 0.19/0.57  
% 0.19/0.57  %--------------------------------------------------------------------------
% 0.19/0.57  %-------------------------------------------
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof
% 0.19/0.57  %ClaNum:15(EqnAxiom:0)
% 0.19/0.57  %VarNum:32(SingletonVarNum:11)
% 0.19/0.57  %MaxLitNum:4
% 0.19/0.57  %MaxfuncDepth:0
% 0.19/0.57  %SharedTerms:5
% 0.19/0.57  %goalClause: 3
% 0.19/0.57  %singleGoalClaCount:1
% 0.19/0.57  [1]P1(a1)
% 0.19/0.57  [2]P11(a1)
% 0.19/0.57  [3]P2(a1)
% 0.19/0.57  [4]P13(a1)
% 0.19/0.57  [5]P13(x51)+P3(x51)
% 0.19/0.57  [7]~P13(x71)+~P3(x71)
% 0.19/0.57  [6]P5(x61)+P3(x61)+P4(x61)
% 0.19/0.57  [8]P7(x81)+~P12(x81)+P4(x81)
% 0.19/0.57  [9]~P2(x91)+~P13(x91)+P8(x91)
% 0.19/0.57  [10]~P1(x101)+~P8(x101)+P12(x101)
% 0.19/0.57  [11]~P11(x111)+~P2(x111)+P9(x111)
% 0.19/0.57  [12]~P1(x121)+~P9(x121)+P10(x121)
% 0.19/0.57  [13]~P8(x131)+~P11(x131)+~P4(x131)
% 0.19/0.57  [14]~P10(x141)+~P6(x141)+~P5(x141)
% 0.19/0.57  [15]P6(x151)+~P10(x151)+~P7(x151)+P4(x151)
% 0.19/0.57  %EqnAxiom
% 0.19/0.57  
% 0.19/0.57  %-------------------------------------------
% 0.19/0.57  cnf(18,plain,
% 0.19/0.57     (~P3(a1)),
% 0.19/0.57     inference(scs_inference,[],[3,2,4,11,9,7])).
% 0.19/0.57  cnf(20,plain,
% 0.19/0.57     (~P4(a1)),
% 0.19/0.57     inference(scs_inference,[],[3,2,4,11,9,7,13])).
% 0.19/0.57  cnf(22,plain,
% 0.19/0.57     (P10(a1)),
% 0.19/0.57     inference(scs_inference,[],[3,1,2,4,11,9,7,13,12])).
% 0.19/0.57  cnf(24,plain,
% 0.19/0.57     (P12(a1)),
% 0.19/0.57     inference(scs_inference,[],[3,1,2,4,11,9,7,13,12,10])).
% 0.19/0.57  cnf(34,plain,
% 0.19/0.57     ($false),
% 0.19/0.57     inference(scs_inference,[],[18,20,22,24,8,6,15,14]),
% 0.19/0.57     ['proof']).
% 0.19/0.57  % SZS output end Proof
% 0.19/0.57  % Total time :0.000000s
%------------------------------------------------------------------------------