%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ006-1 : 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 18:27:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 40 ( 23 unt; 5 nHn; 40 RR)
% Number of literals : 59 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
says(ork,bog_is_from_venus),
file('PUZ006-1.p',unknown),
[] ).
cnf(2,axiom,
says(bog,ork_is_from_mars),
file('PUZ006-1.p',unknown),
[] ).
cnf(3,axiom,
says(ork,bog_is_male),
file('PUZ006-1.p',unknown),
[] ).
cnf(4,axiom,
says(bog,ork_is_female),
file('PUZ006-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ from_mars(ork)
| a_truth(ork_is_from_mars) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ male(bog)
| a_truth(bog_is_male) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ female(ork)
| a_truth(ork_is_female) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(13,axiom,
~ female(bog),
file('PUZ006-1.p',unknown),
[] ).
cnf(14,axiom,
( from_venus(u)
| from_mars(u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(16,axiom,
( female(u)
| male(u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ liar(u)
| ~ truthteller(u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ says(u,v)
| equal(v,statement_by(u)) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ a_truth(statement_by(u))
| truthteller(u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ male(u)
| ~ from_venus(u)
| liar(u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ a_truth(u)
| ~ liar(v)
| ~ says(v,u) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(30,plain,
male(bog),
inference(res,[status(thm),theory(equality)],[16,13]),
[iquote('0:Res:16.1,13.0')] ).
cnf(31,plain,
a_truth(bog_is_male),
inference(mrr,[status(thm)],[11,30]),
[iquote('0:MRR:11.0,30.0')] ).
cnf(33,plain,
( from_venus(ork)
| a_truth(ork_is_from_mars) ),
inference(res,[status(thm),theory(equality)],[14,10]),
[iquote('0:Res:14.1,10.0')] ).
cnf(36,plain,
a_truth(ork_is_from_mars),
inference(spt,[spt(split,[position(s1)])],[33]),
[iquote('1:Spt:33.1')] ).
cnf(38,plain,
( male(ork)
| a_truth(ork_is_female) ),
inference(res,[status(thm),theory(equality)],[16,12]),
[iquote('0:Res:16.0,12.0')] ).
cnf(55,plain,
equal(statement_by(bog),ork_is_female),
inference(res,[status(thm),theory(equality)],[4,21]),
[iquote('0:Res:4.0,21.0')] ).
cnf(56,plain,
equal(statement_by(bog),ork_is_from_mars),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.0')] ).
cnf(57,plain,
equal(statement_by(ork),bog_is_male),
inference(res,[status(thm),theory(equality)],[3,21]),
[iquote('0:Res:3.0,21.0')] ).
cnf(58,plain,
equal(statement_by(ork),bog_is_from_venus),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.0')] ).
cnf(59,plain,
equal(ork_is_female,ork_is_from_mars),
inference(rew,[status(thm),theory(equality)],[55,56]),
[iquote('0:Rew:55.0,56.0')] ).
cnf(62,plain,
equal(statement_by(bog),ork_is_from_mars),
inference(rew,[status(thm),theory(equality)],[59,55]),
[iquote('0:Rew:59.0,55.0')] ).
cnf(63,plain,
equal(bog_is_male,bog_is_from_venus),
inference(rew,[status(thm),theory(equality)],[57,58]),
[iquote('0:Rew:57.0,58.0')] ).
cnf(64,plain,
a_truth(bog_is_from_venus),
inference(rew,[status(thm),theory(equality)],[63,31]),
[iquote('0:Rew:63.0,31.0')] ).
cnf(67,plain,
from_venus(bog),
inference(mrr,[status(thm)],[5,64]),
[iquote('0:MRR:5.0,64.0')] ).
cnf(75,plain,
( ~ a_truth(ork_is_from_mars)
| truthteller(bog) ),
inference(spl,[status(thm),theory(equality)],[62,22]),
[iquote('0:SpL:62.0,22.0')] ).
cnf(76,plain,
truthteller(bog),
inference(mrr,[status(thm)],[75,36]),
[iquote('1:MRR:75.0,36.0')] ).
cnf(78,plain,
( ~ male(bog)
| ~ from_venus(bog) ),
inference(ems,[status(thm)],[19,25,76]),
[iquote('1:EmS:19.0,19.1,25.2,76.0')] ).
cnf(80,plain,
$false,
inference(ssi,[status(thm)],[78,30,67,76]),
[iquote('1:SSi:78.1,78.0,30.0,67.0,76.0,30.0,67.0,76.0')] ).
cnf(81,plain,
~ a_truth(ork_is_from_mars),
inference(spt,[spt(split,[position(sa)])],[80,36]),
[iquote('1:Spt:80.0,33.1,36.0')] ).
cnf(82,plain,
from_venus(ork),
inference(spt,[spt(split,[position(s2)])],[33]),
[iquote('1:Spt:80.0,33.0')] ).
cnf(83,plain,
( male(ork)
| a_truth(ork_is_from_mars) ),
inference(rew,[status(thm),theory(equality)],[59,38]),
[iquote('0:Rew:59.0,38.1')] ).
cnf(84,plain,
male(ork),
inference(mrr,[status(thm)],[83,81]),
[iquote('1:MRR:83.1,81.0')] ).
cnf(103,plain,
( ~ a_truth(bog_is_from_venus)
| ~ liar(ork) ),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.2')] ).
cnf(105,plain,
$false,
inference(ssi,[status(thm)],[103,25,82,84,64]),
[iquote('1:SSi:103.1,103.0,25.0,82.0,84.0,64.2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 23:11:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.41
% 0.20/0.41 SPASS V 3.9
% 0.20/0.41 SPASS beiseite: Proof found.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 SPASS derived 54 clauses, backtracked 10 clauses, performed 2 splits and kept 58 clauses.
% 0.20/0.41 SPASS allocated 75649 KBytes.
% 0.20/0.41 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.41 0:00:00.04 for the input.
% 0.20/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.41 0:00:00.00 for inferences.
% 0.20/0.41 0:00:00.00 for the backtracking.
% 0.20/0.41 0:00:00.00 for the reduction.
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Here is a proof with depth 3, length 40 :
% 0.20/0.41 % SZS output start Refutation
% See solution above
% 0.20/0.41 Formulae used in the proof : ork_says_bog_is_from_venus bog_says_ork_is_from_mar ork_says_bog_is_male bog_says_ork_is_female bog_is_from_venus1 ork_is_from_mars2 bog_is_male2 ork_is_female2 prove_bog_is_female from_mars_or_venus male_or_female not_truthteller_and_liar people_say_their_statements true_statements_made_by_truthtellers venusian_males_are_liars liars_make_false_statements
% 0.20/0.41
%------------------------------------------------------------------------------