TSTP Solution File: PUZ029-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 18:27:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 10 unt; 4 nHn; 26 RR)
% Number of literals : 54 ( 0 equ; 26 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( old(u)
| eats_pennybuns(u)
| dances_on_tightropes(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ liable_to_giddiness(u)
| ~ pig(u)
| treated_with_respect(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ balloonist(u)
| ~ wise(u)
| has_umbrella(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ eats_lunch_in_public(u)
| ~ eats_pennybuns(u)
| ~ looks_ridiculous(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ young(u)
| ~ balloonist(u)
| liable_to_giddiness(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ looks_ridiculous(u)
| ~ fat(u)
| eats_lunch_in_public(u)
| dances_on_tightropes(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ dances_on_tightropes(u)
| ~ wise(u)
| ~ liable_to_giddiness(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ has_umbrella(u)
| ~ pig(u)
| looks_ridiculous(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ treated_with_respect(u)
| fat(u)
| dances_on_tightropes(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ old(u)
| ~ young(u) ),
file('PUZ029-1.p',unknown),
[] ).
cnf(12,axiom,
wise(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(13,axiom,
young(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(14,axiom,
pig(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(15,axiom,
balloonist(piggy),
file('PUZ029-1.p',unknown),
[] ).
cnf(16,plain,
( ~ wise(piggy)
| has_umbrella(piggy) ),
inference(res,[status(thm),theory(equality)],[15,3]),
[iquote('0:Res:15.0,3.1')] ).
cnf(17,plain,
( ~ young(piggy)
| liable_to_giddiness(piggy) ),
inference(res,[status(thm),theory(equality)],[15,5]),
[iquote('0:Res:15.0,5.0')] ).
cnf(18,plain,
has_umbrella(piggy),
inference(mrr,[status(thm)],[16,12]),
[iquote('0:MRR:16.0,12.0')] ).
cnf(19,plain,
liable_to_giddiness(piggy),
inference(mrr,[status(thm)],[17,13]),
[iquote('0:MRR:17.0,13.0')] ).
cnf(42,plain,
( eats_pennybuns(piggy)
| old(piggy) ),
inference(ems,[status(thm)],[7,1,12,19]),
[iquote('0:EmS:7.0,7.1,7.2,1.2,12.0,19.0')] ).
cnf(43,plain,
( ~ treated_with_respect(piggy)
| fat(piggy) ),
inference(ems,[status(thm)],[7,9,12,19]),
[iquote('0:EmS:7.0,7.1,7.2,9.2,12.0,19.0')] ).
cnf(44,plain,
fat(piggy),
inference(ssi,[status(thm)],[43,2,15,14,12,13,18,19]),
[iquote('0:SSi:43.0,2.0,15.0,14.0,12.0,13.0,18.0,19.2')] ).
cnf(46,plain,
( ~ fat(piggy)
| ~ looks_ridiculous(piggy)
| eats_lunch_in_public(piggy) ),
inference(ems,[status(thm)],[7,6,12,19]),
[iquote('0:EmS:7.0,7.1,7.2,6.3,12.0,19.0')] ).
cnf(47,plain,
eats_lunch_in_public(piggy),
inference(ssi,[status(thm)],[46,8,15,14,12,13,18,19,44]),
[iquote('0:SSi:46.1,46.0,8.0,15.0,14.0,12.0,13.0,18.0,19.0,44.0,15.0,14.0,12.0,13.0,18.0,19.0,44.2')] ).
cnf(48,plain,
( ~ pig(piggy)
| ~ has_umbrella(piggy)
| old(piggy) ),
inference(ems,[status(thm)],[4,47,42,8]),
[iquote('0:EmS:4.0,4.1,4.2,47.0,42.0,8.2')] ).
cnf(49,plain,
old(piggy),
inference(ssi,[status(thm)],[48,15,14,12,13,18,19,44,47]),
[iquote('0:SSi:48.1,48.0,15.0,14.0,12.0,13.0,18.0,19.0,44.0,47.0,15.0,14.0,12.0,13.0,18.0,19.0,44.0,47.0')] ).
cnf(50,plain,
$false,
inference(ems,[status(thm)],[11,49,13]),
[iquote('0:EmS:11.0,11.1,49.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat May 28 19:50:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.19/0.41 SPASS allocated 75637 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 4, length 26 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : boring_old_people giddy_pigs_reated_with_respect wise_ballonists_have_umbrellas dont_look_ridiculous_eating_buns_in_public young_balloonists_get_giddy fat_ridiculous_off_tightrope_eat_in_public wise_giddy_dont_dance_on_tightrope pigs_look_ridiculous_with_umbrellas non_dancers_who_are_respected_are_fat not_young_and_old piggy_is_wise piggy_is_young piggy_is_a_pig prove_piggy_is_no_balloonist
% 0.19/0.41
%------------------------------------------------------------------------------