TSTP Solution File: PUZ035-6 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 0.17s 0.38s
% Output : Refutation 0.17s
% 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('PUZ035-6.p',unknown),
[] ).
cnf(11,axiom,
( ~ truth(isa(other,u))
| ~ truth(isa(asked,v)) ),
file('PUZ035-6.p',unknown),
[] ).
cnf(26,plain,
( ~ truth(isa(asked,u))
| truth(isa(other,knave)) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.1,11.0')] ).
cnf(27,plain,
~ truth(isa(asked,u)),
inference(mrr,[status(thm)],[26,11]),
[iquote('0:MRR:26.1,11.0')] ).
cnf(30,plain,
truth(isa(asked,knave)),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.1,27.0')] ).
cnf(31,plain,
$false,
inference(mrr,[status(thm)],[30,27]),
[iquote('0:MRR:30.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun May 29 00:42:51 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.38
% 0.17/0.38 SPASS V 3.9
% 0.17/0.38 SPASS beiseite: Proof found.
% 0.17/0.38 % SZS status Theorem
% 0.17/0.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38 SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.17/0.38 SPASS allocated 75603 KBytes.
% 0.17/0.38 SPASS spent 0:00:00.04 on the problem.
% 0.17/0.38 0:00:00.02 for the input.
% 0.17/0.38 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.38 0:00:00.00 for inferences.
% 0.17/0.38 0:00:00.00 for the backtracking.
% 0.17/0.38 0:00:00.00 for the reduction.
% 0.17/0.38
% 0.17/0.38
% 0.17/0.38 Here is a proof with depth 2, length 6 :
% 0.17/0.38 % SZS output start Refutation
% See solution above
% 0.17/0.38 Formulae used in the proof : everyone_a_knight_or_knave query
% 0.17/0.38
%------------------------------------------------------------------------------