TSTP Solution File: PUZ035-4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ035-4 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 18:27:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 4 unt; 2 nHn; 12 RR)
% Number of literals : 26 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ person(u)
| truth(isa(u,knave))
| truth(isa(u,knight)) ),
file('PUZ035-4.p',unknown),
[] ).
cnf(5,axiom,
( says(asked,not__dfg(or__dfg(isa(asked,knight),isa(other,knight))))
| says(asked,or__dfg(isa(asked,knight),isa(other,knight))) ),
file('PUZ035-4.p',unknown),
[] ).
cnf(12,axiom,
person(asked),
file('PUZ035-4.p',unknown),
[] ).
cnf(13,axiom,
person(other),
file('PUZ035-4.p',unknown),
[] ).
cnf(14,axiom,
( ~ truth(isa(other,u))
| ~ truth(isa(asked,v))
| ~ says(asked,w) ),
file('PUZ035-4.p',unknown),
[] ).
cnf(29,plain,
( ~ person(other)
| ~ truth(isa(asked,u))
| ~ says(asked,v)
| truth(isa(other,knave)) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.2,14.0')] ).
cnf(30,plain,
( ~ truth(isa(asked,u))
| ~ says(asked,v)
| truth(isa(other,knave)) ),
inference(ssi,[status(thm)],[29,13]),
[iquote('0:SSi:29.0,13.0')] ).
cnf(31,plain,
( ~ truth(isa(asked,u))
| ~ says(asked,v) ),
inference(mrr,[status(thm)],[30,14]),
[iquote('0:MRR:30.2,14.0')] ).
cnf(38,plain,
( ~ person(asked)
| ~ says(asked,u)
| truth(isa(asked,knave)) ),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.2,31.0')] ).
cnf(39,plain,
( ~ says(asked,u)
| truth(isa(asked,knave)) ),
inference(ssi,[status(thm)],[38,12]),
[iquote('0:SSi:38.0,12.0')] ).
cnf(40,plain,
~ says(asked,u),
inference(mrr,[status(thm)],[39,31]),
[iquote('0:MRR:39.1,31.0')] ).
cnf(41,plain,
$false,
inference(mrr,[status(thm)],[5,40]),
[iquote('0:MRR:5.1,5.0,40.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ035-4 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 23:06:03 EDT 2022
% 0.13/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 24 clauses.
% 0.19/0.41 SPASS allocated 75623 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 2, length 12 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : everyone_a_knight_or_knave one_is_knight_answer asked_person other_person prove_answer
% 0.19/0.41
%------------------------------------------------------------------------------