TSTP Solution File: PUZ035-6 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 : 300s
% DateTime : Wed Jul 27 13:11:26 EDT 2022
% Result : Unsatisfiable 1.81s 1.94s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 3 unt; 2 nHn; 5 RR)
% Number of literals : 9 ( 0 equ; 2 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ truth(isa(asked,A))
| ~ truth(isa(other,B)) ),
file('PUZ035-6.p',unknown),
[] ).
cnf(10,axiom,
( truth(isa(A,knight))
| truth(isa(A,knave)) ),
file('PUZ035-6.p',unknown),
[] ).
cnf(13,plain,
( truth(isa(other,knave))
| truth(isa(asked,knight)) ),
inference(hyper,[status(thm)],[10,8,10]),
[iquote('hyper,10,8,10')] ).
cnf(168,plain,
truth(isa(asked,knight)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[13,8,10])]),
[iquote('hyper,13,8,10,factor_simp')] ).
cnf(173,plain,
truth(isa(other,knave)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[13,8,10])]),
[iquote('hyper,13,8,10,factor_simp')] ).
cnf(190,plain,
$false,
inference(hyper,[status(thm)],[173,8,168]),
[iquote('hyper,173,8,168')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : otter-tptp-script %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jul 27 01:48:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.75/1.94 ----- Otter 3.3f, August 2004 -----
% 1.75/1.94 The process was started by sandbox on n014.cluster.edu,
% 1.75/1.94 Wed Jul 27 01:48:54 2022
% 1.75/1.94 The command was "./otter". The process ID is 25332.
% 1.75/1.94
% 1.75/1.94 set(prolog_style_variables).
% 1.75/1.94 set(auto).
% 1.75/1.94 dependent: set(auto1).
% 1.75/1.94 dependent: set(process_input).
% 1.75/1.94 dependent: clear(print_kept).
% 1.75/1.94 dependent: clear(print_new_demod).
% 1.75/1.94 dependent: clear(print_back_demod).
% 1.75/1.94 dependent: clear(print_back_sub).
% 1.75/1.94 dependent: set(control_memory).
% 1.75/1.94 dependent: assign(max_mem, 12000).
% 1.75/1.94 dependent: assign(pick_given_ratio, 4).
% 1.75/1.94 dependent: assign(stats_level, 1).
% 1.75/1.94 dependent: assign(max_seconds, 10800).
% 1.75/1.94 clear(print_given).
% 1.75/1.94
% 1.75/1.94 list(usable).
% 1.75/1.94 0 [] truth(isa(P,knight))|truth(isa(P,knave)).
% 1.75/1.94 0 [] -truth(isa(P,knight))| -truth(isa(P,knave)).
% 1.75/1.94 0 [] truth(S)| -truth(isa(P,knight))| -says(P,S).
% 1.75/1.94 0 [] truth(isa(P,knight))| -truth(S)| -says(P,S).
% 1.75/1.94 0 [] truth(A)|truth(B)| -truth(or(A,B)).
% 1.75/1.94 0 [] truth(or(A,B))| -truth(A).
% 1.75/1.94 0 [] truth(or(A,B))| -truth(B).
% 1.75/1.94 0 [] truth(C)|truth(not(C)).
% 1.75/1.94 0 [] -truth(C)| -truth(not(C)).
% 1.75/1.94 0 [] says(asked,not(or(isa(asked,knight),isa(other,knight)))).
% 1.75/1.94 0 [] -truth(isa(asked,X))| -truth(isa(other,Y)).
% 1.75/1.94 end_of_list.
% 1.75/1.94
% 1.75/1.94 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.75/1.94
% 1.75/1.94 This is a non-Horn set without equality. The strategy will
% 1.75/1.94 be ordered hyper_res, unit deletion, and factoring, with
% 1.75/1.94 satellites in sos and with nuclei in usable.
% 1.75/1.94
% 1.75/1.94 dependent: set(hyper_res).
% 1.75/1.94 dependent: set(factor).
% 1.75/1.94 dependent: set(unit_deletion).
% 1.75/1.94
% 1.75/1.94 ------------> process usable:
% 1.75/1.94 ** KEPT (pick-wt=8): 1 [] -truth(isa(A,knight))| -truth(isa(A,knave)).
% 1.75/1.94 ** KEPT (pick-wt=9): 2 [] truth(A)| -truth(isa(B,knight))| -says(B,A).
% 1.75/1.94 ** KEPT (pick-wt=9): 3 [] truth(isa(A,knight))| -truth(B)| -says(A,B).
% 1.75/1.94 ** KEPT (pick-wt=8): 4 [] truth(A)|truth(B)| -truth(or(A,B)).
% 1.75/1.94 ** KEPT (pick-wt=6): 5 [] truth(or(A,B))| -truth(A).
% 1.75/1.94 ** KEPT (pick-wt=6): 6 [] truth(or(A,B))| -truth(B).
% 1.75/1.94 ** KEPT (pick-wt=5): 7 [] -truth(A)| -truth(not(A)).
% 1.75/1.94 ** KEPT (pick-wt=8): 8 [] -truth(isa(asked,A))| -truth(isa(other,B)).
% 1.75/1.94
% 1.75/1.94 ------------> process sos:
% 1.75/1.94 ** KEPT (pick-wt=8): 10 [] truth(isa(A,knight))|truth(isa(A,knave)).
% 1.81/1.94 ** KEPT (pick-wt=5): 11 [] truth(A)|truth(not(A)).
% 1.81/1.94 ** KEPT (pick-wt=10): 12 [] says(asked,not(or(isa(asked,knight),isa(other,knight)))).
% 1.81/1.94
% 1.81/1.94 ======= end of input processing =======
% 1.81/1.94
% 1.81/1.94 =========== start of search ===========
% 1.81/1.94
% 1.81/1.94 -------- PROOF --------
% 1.81/1.94
% 1.81/1.94 -----> EMPTY CLAUSE at 0.01 sec ----> 190 [hyper,173,8,168] $F.
% 1.81/1.94
% 1.81/1.94 Length of proof is 3. Level of proof is 2.
% 1.81/1.94
% 1.81/1.94 ---------------- PROOF ----------------
% 1.81/1.94 % SZS status Unsatisfiable
% 1.81/1.94 % SZS output start Refutation
% See solution above
% 1.81/1.94 ------------ end of proof -------------
% 1.81/1.94
% 1.81/1.94
% 1.81/1.94 Search stopped by max_proofs option.
% 1.81/1.94
% 1.81/1.94
% 1.81/1.94 Search stopped by max_proofs option.
% 1.81/1.94
% 1.81/1.94 ============ end of search ============
% 1.81/1.94
% 1.81/1.94 -------------- statistics -------------
% 1.81/1.94 clauses given 13
% 1.81/1.94 clauses generated 351
% 1.81/1.94 clauses kept 189
% 1.81/1.94 clauses forward subsumed 172
% 1.81/1.94 clauses back subsumed 56
% 1.81/1.94 Kbytes malloced 976
% 1.81/1.94
% 1.81/1.94 ----------- times (seconds) -----------
% 1.81/1.94 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.81/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/1.94 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.81/1.94
% 1.81/1.94 That finishes the proof of the theorem.
% 1.81/1.94
% 1.81/1.94 Process 25332 finished Wed Jul 27 01:48:56 2022
% 1.81/1.94 Otter interrupted
% 1.81/1.94 PROOF FOUND
%------------------------------------------------------------------------------