TSTP Solution File: PUZ001-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 22 unt; 5 nHn; 34 RR)
% Number of literals : 49 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
lives_at_dreadsbury(someone),
file('PUZ001-2.p',unknown),
[] ).
cnf(2,axiom,
killed(someone,aunt_agatha),
file('PUZ001-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ lives_at_dreadsbury(u)
| equal(u,charles)
| equal(u,butler)
| equal(u,aunt_agatha) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ killed(u,v)
| hates(u,v) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ richer(u,v)
| ~ killed(u,v) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ hates(charles,u)
| ~ hates(aunt_agatha,u) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(10,axiom,
( equal(u,butler)
| hates(aunt_agatha,u) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(11,axiom,
( richer(u,aunt_agatha)
| hates(butler,u) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ hates(aunt_agatha,u)
| hates(butler,u) ),
file('PUZ001-2.p',unknown),
[] ).
cnf(13,axiom,
~ hates(u,every_one_but(u)),
file('PUZ001-2.p',unknown),
[] ).
cnf(14,axiom,
~ equal(butler,aunt_agatha),
file('PUZ001-2.p',unknown),
[] ).
cnf(15,axiom,
~ killed(aunt_agatha,aunt_agatha),
file('PUZ001-2.p',unknown),
[] ).
cnf(17,plain,
richer(every_one_but(butler),aunt_agatha),
inference(res,[status(thm),theory(equality)],[11,13]),
[iquote('0:Res:11.1,13.0')] ).
cnf(21,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(res,[status(thm),theory(equality)],[12,13]),
[iquote('0:Res:12.1,13.0')] ).
cnf(25,plain,
equal(every_one_but(butler),butler),
inference(res,[status(thm),theory(equality)],[10,21]),
[iquote('0:Res:10.1,21.0')] ).
cnf(26,plain,
richer(butler,aunt_agatha),
inference(rew,[status(thm),theory(equality)],[25,17]),
[iquote('0:Rew:25.0,17.0')] ).
cnf(31,plain,
( ~ killed(charles,u)
| ~ hates(aunt_agatha,u) ),
inference(res,[status(thm),theory(equality)],[7,9]),
[iquote('0:Res:7.1,9.0')] ).
cnf(38,plain,
( ~ killed(charles,u)
| equal(u,butler) ),
inference(res,[status(thm),theory(equality)],[10,31]),
[iquote('0:Res:10.1,31.1')] ).
cnf(39,plain,
~ richer(someone,aunt_agatha),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.1')] ).
cnf(40,plain,
( equal(charles,someone)
| equal(butler,someone)
| equal(aunt_agatha,someone) ),
inference(ems,[status(thm)],[6,1]),
[iquote('0:EmS:6.0,1.0')] ).
cnf(44,plain,
equal(aunt_agatha,someone),
inference(spt,[spt(split,[position(s1)])],[40]),
[iquote('1:Spt:40.2')] ).
cnf(46,plain,
killed(someone,someone),
inference(rew,[status(thm),theory(equality)],[44,2]),
[iquote('1:Rew:44.0,2.0')] ).
cnf(48,plain,
~ killed(someone,someone),
inference(rew,[status(thm),theory(equality)],[44,15]),
[iquote('1:Rew:44.0,15.0')] ).
cnf(61,plain,
$false,
inference(mrr,[status(thm)],[48,46]),
[iquote('1:MRR:48.0,46.0')] ).
cnf(62,plain,
~ equal(aunt_agatha,someone),
inference(spt,[spt(split,[position(sa)])],[61,44]),
[iquote('1:Spt:61.0,40.2,44.0')] ).
cnf(63,plain,
( equal(charles,someone)
| equal(butler,someone) ),
inference(spt,[spt(split,[position(s2)])],[40]),
[iquote('1:Spt:61.0,40.0,40.1')] ).
cnf(64,plain,
equal(butler,someone),
inference(spt,[spt(split,[position(s2s1)])],[63]),
[iquote('2:Spt:63.1')] ).
cnf(70,plain,
richer(someone,aunt_agatha),
inference(rew,[status(thm),theory(equality)],[64,26]),
[iquote('2:Rew:64.0,26.0')] ).
cnf(79,plain,
$false,
inference(mrr,[status(thm)],[70,39]),
[iquote('2:MRR:70.0,39.0')] ).
cnf(80,plain,
~ equal(butler,someone),
inference(spt,[spt(split,[position(s2sa)])],[79,64]),
[iquote('2:Spt:79.0,63.1,64.0')] ).
cnf(81,plain,
equal(charles,someone),
inference(spt,[spt(split,[position(s2s2)])],[63]),
[iquote('2:Spt:79.0,63.0')] ).
cnf(86,plain,
( ~ killed(someone,u)
| equal(u,butler) ),
inference(rew,[status(thm),theory(equality)],[81,38]),
[iquote('2:Rew:81.0,38.0')] ).
cnf(103,plain,
equal(butler,aunt_agatha),
inference(res,[status(thm),theory(equality)],[2,86]),
[iquote('2:Res:2.0,86.0')] ).
cnf(104,plain,
$false,
inference(mrr,[status(thm)],[103,14]),
[iquote('2:MRR:103.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n026.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 : 600
% 0.13/0.33 % DateTime : Sun May 29 03:09:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.40
% 0.20/0.40 SPASS V 3.9
% 0.20/0.40 SPASS beiseite: Proof found.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.40 SPASS derived 78 clauses, backtracked 34 clauses, performed 2 splits and kept 97 clauses.
% 0.20/0.40 SPASS allocated 75640 KBytes.
% 0.20/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.40 0:00:00.03 for the input.
% 0.20/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.40 0:00:00.00 for inferences.
% 0.20/0.40 0:00:00.00 for the backtracking.
% 0.20/0.40 0:00:00.00 for the reduction.
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 Here is a proof with depth 3, length 34 :
% 0.20/0.40 % SZS output start Refutation
% See solution above
% 0.20/0.40 Formulae used in the proof : someone_in_mansion someone_killed_agatha noone_else_lives_at_mansion killer_hates_victim killer_poorer_than_victim charles_and_agatha_hate_different_people agatha_likes_only_butler butler_hates_poor_people butler_and_agatha_hate_the_same_people noone_hates_everyone agatha_is_not_the_butler prove_agatha_killed_herself
% 0.20/0.40
%------------------------------------------------------------------------------