%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Sun Sep 27 08:23:08 AM UTC 2026
% Result : Unsatisfiable 0.04s 0.31s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 10 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 343 ( 178 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 28 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wise_giddy_dont_dance_on_tightrope,axiom,
! [VAR_0] :
( ~ dances_on_tightropes(VAR_0)
| ~ wise(VAR_0)
| ~ liable_to_giddiness(VAR_0) ),
file('theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).
cnf(c_1,plain,
( ~ dances_on_tightropes(A)
| ~ wise(A)
| ~ liable_to_giddiness(A) ),
inference(clausify,[status(thm)],[wise_giddy_dont_dance_on_tightrope]) ).
fof(fat_ridiculous_off_tightrope_eat_in_public,axiom,
! [VAR_0] :
( eats_lunch_in_public(VAR_0)
| dances_on_tightropes(VAR_0)
| ~ looks_ridiculous(VAR_0)
| ~ fat(VAR_0) ),
file('theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).
cnf(c_2,plain,
( eats_lunch_in_public(A)
| dances_on_tightropes(A)
| ~ looks_ridiculous(A)
| ~ fat(A) ),
inference(clausify,[status(thm)],[fat_ridiculous_off_tightrope_eat_in_public]) ).
fof(boring_old_people,axiom,
! [VAR_0] :
( old(VAR_0)
| eats_pennybuns(VAR_0)
| dances_on_tightropes(VAR_0) ),
file('theBenchmark.p',boring_old_people) ).
cnf(c_3,plain,
( old(A)
| eats_pennybuns(A)
| dances_on_tightropes(A) ),
inference(clausify,[status(thm)],[boring_old_people]) ).
fof(non_dancers_who_are_respected_are_fat,axiom,
! [VAR_0] :
( fat(VAR_0)
| ~ treated_with_respect(VAR_0)
| dances_on_tightropes(VAR_0) ),
file('theBenchmark.p',non_dancers_who_are_respected_are_fat) ).
cnf(c_4,plain,
( fat(A)
| ~ treated_with_respect(A)
| dances_on_tightropes(A) ),
inference(clausify,[status(thm)],[non_dancers_who_are_respected_are_fat]) ).
fof(dont_look_ridiculous_eating_buns_in_public,axiom,
! [VAR_0] :
( ~ eats_lunch_in_public(VAR_0)
| ~ eats_pennybuns(VAR_0)
| ~ looks_ridiculous(VAR_0) ),
file('theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).
cnf(c_5,plain,
( ~ eats_lunch_in_public(A)
| ~ eats_pennybuns(A)
| ~ looks_ridiculous(A) ),
inference(clausify,[status(thm)],[dont_look_ridiculous_eating_buns_in_public]) ).
cnf(c_6,plain,
( old(A)
| eats_pennybuns(A)
| ~ wise(A)
| ~ liable_to_giddiness(A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
fof(not_young_and_old,axiom,
! [VAR_0] :
( ~ old(VAR_0)
| ~ young(VAR_0) ),
file('theBenchmark.p',not_young_and_old) ).
cnf(c_7,plain,
( ~ old(A)
| ~ young(A) ),
inference(clausify,[status(thm)],[not_young_and_old]) ).
cnf(c_9,plain,
( old(A)
| ~ wise(A)
| ~ liable_to_giddiness(A)
| ~ eats_lunch_in_public(A)
| ~ looks_ridiculous(A) ),
inference(resolve,[status(thm)],[c_5,c_6]) ).
fof(pigs_look_ridiculous_with_umbrellas,axiom,
! [VAR_0] :
( looks_ridiculous(VAR_0)
| ~ has_umbrella(VAR_0)
| ~ pig(VAR_0) ),
file('theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).
cnf(c_10,plain,
( looks_ridiculous(A)
| ~ has_umbrella(A)
| ~ pig(A) ),
inference(clausify,[status(thm)],[pigs_look_ridiculous_with_umbrellas]) ).
fof(piggy_is_a_pig,axiom,
pig(piggy),
file('theBenchmark.p',piggy_is_a_pig) ).
cnf(c_11,plain,
pig(piggy),
inference(clausify,[status(thm)],[piggy_is_a_pig]) ).
fof(giddy_pigs_reated_with_respect,axiom,
! [VAR_0] :
( treated_with_respect(VAR_0)
| ~ liable_to_giddiness(VAR_0)
| ~ pig(VAR_0) ),
file('theBenchmark.p',giddy_pigs_reated_with_respect) ).
cnf(c_12,plain,
( treated_with_respect(A)
| ~ liable_to_giddiness(A)
| ~ pig(A) ),
inference(clausify,[status(thm)],[giddy_pigs_reated_with_respect]) ).
fof(young_balloonists_get_giddy,axiom,
! [VAR_0] :
( liable_to_giddiness(VAR_0)
| ~ young(VAR_0)
| ~ balloonist(VAR_0) ),
file('theBenchmark.p',young_balloonists_get_giddy) ).
cnf(c_13,plain,
( liable_to_giddiness(A)
| ~ young(A)
| ~ balloonist(A) ),
inference(clausify,[status(thm)],[young_balloonists_get_giddy]) ).
cnf(c_14,plain,
( treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy) ),
inference(resolve,[status(thm)],[c_12,c_11]) ).
cnf(c_15,plain,
( eats_lunch_in_public(A)
| ~ looks_ridiculous(A)
| ~ fat(A)
| ~ wise(A)
| ~ liable_to_giddiness(A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_16,plain,
( ~ wise(A)
| ~ liable_to_giddiness(A)
| fat(A)
| ~ treated_with_respect(A) ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_17,plain,
( ~ wise(A)
| ~ liable_to_giddiness(A)
| ~ eats_lunch_in_public(A)
| ~ looks_ridiculous(A)
| ~ young(A) ),
inference(resolve,[status(thm)],[c_7,c_9]) ).
cnf(c_18,plain,
( treated_with_respect(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(resolve,[status(thm)],[c_13,c_14]) ).
cnf(c_19,plain,
( ~ young(A)
| ~ balloonist(A)
| ~ wise(A)
| fat(A)
| ~ treated_with_respect(A) ),
inference(resolve,[status(thm)],[c_16,c_13]) ).
fof(piggy_is_wise,axiom,
wise(piggy),
file('theBenchmark.p',piggy_is_wise) ).
cnf(c_20,plain,
wise(piggy),
inference(clausify,[status(thm)],[piggy_is_wise]) ).
fof(wise_ballonists_have_umbrellas,axiom,
! [VAR_0] :
( has_umbrella(VAR_0)
| ~ balloonist(VAR_0)
| ~ wise(VAR_0) ),
file('theBenchmark.p',wise_ballonists_have_umbrellas) ).
cnf(c_21,plain,
( has_umbrella(A)
| ~ balloonist(A)
| ~ wise(A) ),
inference(clausify,[status(thm)],[wise_ballonists_have_umbrellas]) ).
cnf(c_22,plain,
( ~ young(piggy)
| ~ balloonist(piggy)
| ~ wise(piggy)
| fat(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(resolve,[status(thm)],[c_18,c_19]) ).
cnf(c_23,plain,
( ~ young(A)
| ~ balloonist(A)
| eats_lunch_in_public(A)
| ~ looks_ridiculous(A)
| ~ fat(A)
| ~ wise(A) ),
inference(resolve,[status(thm)],[c_15,c_13]) ).
cnf(c_24,plain,
( ~ young(A)
| ~ balloonist(A)
| ~ wise(A)
| ~ eats_lunch_in_public(A)
| ~ looks_ridiculous(A)
| ~ young(A) ),
inference(resolve,[status(thm)],[c_17,c_13]) ).
cnf(c_25,plain,
( looks_ridiculous(piggy)
| ~ has_umbrella(piggy) ),
inference(resolve,[status(thm)],[c_10,c_11]) ).
cnf(c_26,plain,
( has_umbrella(piggy)
| ~ balloonist(piggy) ),
inference(resolve,[status(thm)],[c_20,c_21]) ).
cnf(c_27,plain,
( ~ young(piggy)
| ~ balloonist(piggy)
| eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ fat(piggy) ),
inference(resolve,[status(thm)],[c_23,c_20]) ).
cnf(c_28,plain,
( ~ balloonist(piggy)
| looks_ridiculous(piggy) ),
inference(resolve,[status(thm)],[c_25,c_26]) ).
cnf(c_29,plain,
( ~ young(piggy)
| ~ balloonist(piggy)
| ~ eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ young(piggy) ),
inference(resolve,[status(thm)],[c_24,c_20]) ).
cnf(c_30,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| eats_lunch_in_public(piggy)
| ~ fat(piggy) ),
inference(resolve,[status(thm)],[c_27,c_28]) ).
cnf(c_31,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ eats_lunch_in_public(piggy)
| ~ young(piggy) ),
inference(resolve,[status(thm)],[c_29,c_28]) ).
cnf(c_32,plain,
( ~ young(piggy)
| ~ balloonist(piggy)
| fat(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(resolve,[status(thm)],[c_20,c_22]) ).
cnf(c_33,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ fat(piggy) ),
inference(resolve,[status(thm)],[c_30,c_31]) ).
cnf(c_34,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(resolve,[status(thm)],[c_32,c_33]) ).
cnf(c_39,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_34]) ).
cnf(c_40,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_39]) ).
cnf(c_41,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_40]) ).
cnf(c_42,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_41]) ).
cnf(c_43,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_42]) ).
cnf(c_44,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_43]) ).
cnf(c_45,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_44]) ).
cnf(c_46,plain,
( ~ balloonist(piggy)
| ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_45]) ).
cnf(c_35,plain,
( ~ young(piggy)
| ~ balloonist(piggy) ),
inference(copy,[status(thm)],[c_46]) ).
fof(prove_piggy_is_no_balloonist,axiom,
balloonist(piggy),
file('theBenchmark.p',prove_piggy_is_no_balloonist) ).
cnf(c_36,plain,
balloonist(piggy),
inference(clausify,[status(thm)],[prove_piggy_is_no_balloonist]) ).
fof(piggy_is_young,axiom,
young(piggy),
file('theBenchmark.p',piggy_is_young) ).
cnf(c_37,plain,
young(piggy),
inference(clausify,[status(thm)],[piggy_is_young]) ).
cnf(c_47,plain,
~ young(piggy),
inference(resolve,[status(thm)],[c_36,c_35]) ).
cnf(c_38,plain,
$false,
inference(resolve,[status(thm)],[c_37,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 05:05:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.30 % Process 3962317 was started by sandbox on n012,
% 0.04/0.30 % Sat Sep 26 05:05:34 2026
% 0.04/0.30 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.04/0.30
% 0.04/0.30 % From the command line: assign(max_seconds, 300).
% 0.04/0.31
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.04/0.31
% 0.04/0.31 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.04/0.31 % Length of proof is 37.
% 0.04/0.31 % Level of proof is 10.
% 0.04/0.31 % Maximum clause weight is 4.000.
% 0.04/0.31 % Given clauses 0.
% 0.04/0.31
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------