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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:31:54 PM UTC 2026

% Result   : Unsatisfiable 4.59s 1.07s
% Output   : Proof 4.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (  20 unt;   0 def)
%            Number of atoms       :  169 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  185 (  89   ~;  96   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   40 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f7,axiom,
    ( looks_ridiculous(X)
    | ~ has_umbrella(X)
    | ~ pig(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).

fof(f7_nnf,plain,
    ! [X] :
      ( looks_ridiculous(X)
      | ~ has_umbrella(X)
      | ~ pig(X) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [X] :
      ( looks_ridiculous(X)
      | ~ has_umbrella(X)
      | ~ pig(X) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( looks_ridiculous(X0)
    | ~ has_umbrella(X0)
    | ~ pig(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(f13,hypothesis,
    pig(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_a_pig) ).

fof(f13_nnf,plain,
    pig(piggy),
    inference(nnf_transformation,[status(thm)],[f13]) ).

cnf(c13,plain,
    pig(piggy),
    inference(cnf_transformation,[status(esa)],[f13_nnf]) ).

cnf(p25,plain,
    ( looks_ridiculous(piggy)
    | ~ has_umbrella(piggy) ),
    inference(resolution,[status(thm)],[c7,c13]) ).

cnf(f2,axiom,
    ( has_umbrella(X)
    | ~ balloonist(X)
    | ~ wise(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).

fof(f2_nnf,plain,
    ! [X] :
      ( has_umbrella(X)
      | ~ balloonist(X)
      | ~ wise(X) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [X] :
      ( has_umbrella(X)
      | ~ balloonist(X)
      | ~ wise(X) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( has_umbrella(X0)
    | ~ balloonist(X0)
    | ~ wise(X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(f11,hypothesis,
    wise(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_wise) ).

fof(f11_nnf,plain,
    wise(piggy),
    inference(nnf_transformation,[status(thm)],[f11]) ).

cnf(c11,plain,
    wise(piggy),
    inference(cnf_transformation,[status(esa)],[f11_nnf]) ).

cnf(p18,plain,
    ( has_umbrella(piggy)
    | ~ balloonist(piggy) ),
    inference(resolution,[status(thm)],[c2,c11]) ).

cnf(f14,negated_conjecture,
    balloonist(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).

fof(f14_nnf,plain,
    balloonist(piggy),
    inference(nnf_transformation,[status(thm)],[f14]) ).

cnf(c14,plain,
    balloonist(piggy),
    inference(cnf_transformation,[status(esa)],[f14_nnf]) ).

cnf(p19,plain,
    has_umbrella(piggy),
    inference(resolution,[status(thm)],[p18,c14]) ).

cnf(p29,plain,
    looks_ridiculous(piggy),
    inference(resolution,[status(thm)],[p25,p19]) ).

cnf(f3,axiom,
    ( ~ eats_lunch_in_public(X)
    | ~ eats_pennybuns(X)
    | ~ looks_ridiculous(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).

fof(f3_nnf,plain,
    ! [X] :
      ( ~ eats_lunch_in_public(X)
      | ~ eats_pennybuns(X)
      | ~ looks_ridiculous(X) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [X] :
      ( ~ eats_lunch_in_public(X)
      | ~ eats_pennybuns(X)
      | ~ looks_ridiculous(X) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( ~ eats_lunch_in_public(X0)
    | ~ eats_pennybuns(X0)
    | ~ looks_ridiculous(X0) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p30,plain,
    ( ~ eats_lunch_in_public(piggy)
    | ~ eats_pennybuns(piggy) ),
    inference(resolution,[status(thm)],[p29,c3]) ).

cnf(f10,axiom,
    ( ~ old(X)
    | ~ young(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_young_and_old) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ~ old(X)
      | ~ young(X) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ~ old(X)
      | ~ young(X) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( ~ old(X0)
    | ~ young(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(f12,hypothesis,
    young(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_young) ).

fof(f12_nnf,plain,
    young(piggy),
    inference(nnf_transformation,[status(thm)],[f12]) ).

cnf(c12,plain,
    young(piggy),
    inference(cnf_transformation,[status(esa)],[f12_nnf]) ).

cnf(p15,plain,
    ~ old(piggy),
    inference(resolution,[status(thm)],[c10,c12]) ).

cnf(f0,axiom,
    ( old(X)
    | eats_pennybuns(X)
    | dances_on_tightropes(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boring_old_people) ).

fof(f0_nnf,plain,
    ! [X] :
      ( old(X)
      | eats_pennybuns(X)
      | dances_on_tightropes(X) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] :
      ( old(X)
      | eats_pennybuns(X)
      | dances_on_tightropes(X) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( old(X0)
    | eats_pennybuns(X0)
    | dances_on_tightropes(X0) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p16,plain,
    ( eats_pennybuns(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[p15,c0]) ).

cnf(p32,plain,
    ( dances_on_tightropes(piggy)
    | ~ eats_lunch_in_public(piggy) ),
    inference(resolution,[status(thm)],[p30,p16]) ).

cnf(f8,axiom,
    ( fat(X)
    | ~ treated_with_respect(X)
    | dances_on_tightropes(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).

fof(f8_nnf,plain,
    ! [X] :
      ( fat(X)
      | ~ treated_with_respect(X)
      | dances_on_tightropes(X) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( fat(X)
      | ~ treated_with_respect(X)
      | dances_on_tightropes(X) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( fat(X0)
    | ~ treated_with_respect(X0)
    | dances_on_tightropes(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(f4,axiom,
    ( liable_to_giddiness(X)
    | ~ young(X)
    | ~ balloonist(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).

fof(f4_nnf,plain,
    ! [X] :
      ( liable_to_giddiness(X)
      | ~ young(X)
      | ~ balloonist(X) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [X] :
      ( liable_to_giddiness(X)
      | ~ young(X)
      | ~ balloonist(X) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ( liable_to_giddiness(X0)
    | ~ young(X0)
    | ~ balloonist(X0) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p20,plain,
    ( liable_to_giddiness(piggy)
    | ~ young(piggy) ),
    inference(resolution,[status(thm)],[c4,c14]) ).

cnf(p21,plain,
    liable_to_giddiness(piggy),
    inference(resolution,[status(thm)],[p20,c12]) ).

cnf(f1,axiom,
    ( treated_with_respect(X)
    | ~ liable_to_giddiness(X)
    | ~ pig(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).

fof(f1_nnf,plain,
    ! [X] :
      ( treated_with_respect(X)
      | ~ liable_to_giddiness(X)
      | ~ pig(X) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] :
      ( treated_with_respect(X)
      | ~ liable_to_giddiness(X)
      | ~ pig(X) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( treated_with_respect(X0)
    | ~ liable_to_giddiness(X0)
    | ~ pig(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p17,plain,
    ( treated_with_respect(piggy)
    | ~ liable_to_giddiness(piggy) ),
    inference(resolution,[status(thm)],[c1,c13]) ).

cnf(p22,plain,
    treated_with_respect(piggy),
    inference(resolution,[status(thm)],[p21,p17]) ).

cnf(p26,plain,
    ( fat(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[c8,p22]) ).

cnf(f5,axiom,
    ( eats_lunch_in_public(X)
    | dances_on_tightropes(X)
    | ~ looks_ridiculous(X)
    | ~ fat(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).

fof(f5_nnf,plain,
    ! [X] :
      ( eats_lunch_in_public(X)
      | dances_on_tightropes(X)
      | ~ looks_ridiculous(X)
      | ~ fat(X) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] :
      ( eats_lunch_in_public(X)
      | dances_on_tightropes(X)
      | ~ looks_ridiculous(X)
      | ~ fat(X) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( eats_lunch_in_public(X0)
    | dances_on_tightropes(X0)
    | ~ looks_ridiculous(X0)
    | ~ fat(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p27,plain,
    ( eats_lunch_in_public(piggy)
    | dances_on_tightropes(piggy)
    | ~ looks_ridiculous(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[p26,c5]) ).

cnf(p28,plain,
    ( eats_lunch_in_public(piggy)
    | ~ looks_ridiculous(piggy)
    | dances_on_tightropes(piggy) ),
    inference(factoring,[status(thm)],[p27]) ).

cnf(p31,plain,
    ( eats_lunch_in_public(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[p29,p28]) ).

cnf(p33,plain,
    ( dances_on_tightropes(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[p32,p31]) ).

cnf(p34,plain,
    dances_on_tightropes(piggy),
    inference(factoring,[status(thm)],[p33]) ).

cnf(f6,axiom,
    ( ~ dances_on_tightropes(X)
    | ~ wise(X)
    | ~ liable_to_giddiness(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).

fof(f6_nnf,plain,
    ! [X] :
      ( ~ dances_on_tightropes(X)
      | ~ wise(X)
      | ~ liable_to_giddiness(X) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] :
      ( ~ dances_on_tightropes(X)
      | ~ wise(X)
      | ~ liable_to_giddiness(X) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( ~ dances_on_tightropes(X0)
    | ~ wise(X0)
    | ~ liable_to_giddiness(X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p23,plain,
    ( ~ dances_on_tightropes(piggy)
    | ~ wise(piggy) ),
    inference(resolution,[status(thm)],[c6,p21]) ).

cnf(p24,plain,
    ~ dances_on_tightropes(piggy),
    inference(resolution,[status(thm)],[p23,c11]) ).

cnf(p35,plain,
    $false,
    inference(resolution,[status(thm)],[p34,p24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34  % Computer : n009.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Thu Sep 24 06:42:43 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.59/1.07  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.59/1.07  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------