TSTP Solution File: PUZ035-5 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 3 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( truth(isa(u,knave))
| truth(isa(u,knight)) ),
file('PUZ035-5.p',unknown),
[] ).
cnf(9,axiom,
( ~ truth(isa(other,u))
| ~ truth(isa(asked,v)) ),
file('PUZ035-5.p',unknown),
[] ).
cnf(21,plain,
( ~ truth(isa(asked,u))
| truth(isa(other,knave)) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.1,9.0')] ).
cnf(22,plain,
~ truth(isa(asked,u)),
inference(mrr,[status(thm)],[21,9]),
[iquote('0:MRR:21.1,9.0')] ).
cnf(23,plain,
truth(isa(asked,knave)),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.1,22.0')] ).
cnf(24,plain,
$false,
inference(mrr,[status(thm)],[23,22]),
[iquote('0:MRR:23.0,22.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 20:25:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.20/0.42 SPASS allocated 75596 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 2, length 6 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : everyone_a_knight_or_knave query
% 0.20/0.42
%------------------------------------------------------------------------------