TSTP Solution File: PUZ006-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:11:01 EDT 2022
% Result : Unsatisfiable 1.77s 1.96s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 14 unt; 5 nHn; 25 RR)
% Number of literals : 45 ( 5 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ says(A,B)
| B = statement_by(A) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ from_venus(A)
| ~ male(A)
| liar(A) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ liar(A)
| ~ says(A,B)
| ~ a_truth(B) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ from_mars(ork)
| a_truth(ork_is_from_mars) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ male(bog)
| a_truth(bog_is_male) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ female(ork)
| a_truth(ork_is_female) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(20,axiom,
~ female(bog),
file('PUZ006-1.p',unknown),
[] ).
cnf(22,axiom,
( from_mars(A)
| from_venus(A) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(23,axiom,
( male(A)
| female(A) ),
file('PUZ006-1.p',unknown),
[] ).
cnf(26,axiom,
says(ork,bog_is_from_venus),
file('PUZ006-1.p',unknown),
[] ).
cnf(27,axiom,
says(bog,ork_is_from_mars),
file('PUZ006-1.p',unknown),
[] ).
cnf(28,axiom,
says(ork,bog_is_male),
file('PUZ006-1.p',unknown),
[] ).
cnf(29,axiom,
says(bog,ork_is_female),
file('PUZ006-1.p',unknown),
[] ).
cnf(31,plain,
statement_by(ork) = bog_is_from_venus,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,4])]),
[iquote('hyper,26,4,flip.1')] ).
cnf(35,plain,
statement_by(bog) = ork_is_from_mars,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[27,4])]),
[iquote('hyper,27,4,flip.1')] ).
cnf(39,plain,
bog_is_male = bog_is_from_venus,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[28,4]),31]),
[iquote('hyper,28,4,demod,31')] ).
cnf(40,plain,
( ~ male(bog)
| a_truth(bog_is_from_venus) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),39]),
[iquote('back_demod,18,demod,39')] ).
cnf(43,plain,
ork_is_from_mars = ork_is_female,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[29,4]),35])]),
[iquote('hyper,29,4,demod,35,flip.1')] ).
cnf(48,plain,
( ~ from_mars(ork)
| a_truth(ork_is_female) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[17]),43]),
[iquote('back_demod,17,demod,43')] ).
cnf(53,plain,
( female(A)
| liar(A)
| from_mars(A) ),
inference(hyper,[status(thm)],[23,7,22]),
[iquote('hyper,23,7,22')] ).
cnf(59,plain,
a_truth(bog_is_from_venus),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[40,23]),20]),
[iquote('hyper,40,23,unit_del,20')] ).
cnf(60,plain,
from_venus(bog),
inference(hyper,[status(thm)],[59,12]),
[iquote('hyper,59,12')] ).
cnf(62,plain,
liar(bog),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[60,7,23]),20]),
[iquote('hyper,60,7,23,unit_del,20')] ).
cnf(86,plain,
( female(ork)
| from_mars(ork) ),
inference(hyper,[status(thm)],[53,11,26,59]),
[iquote('hyper,53,11,26,59')] ).
cnf(87,plain,
( female(ork)
| a_truth(ork_is_female) ),
inference(hyper,[status(thm)],[86,48]),
[iquote('hyper,86,48')] ).
cnf(90,plain,
a_truth(ork_is_female),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[87,19])]),
[iquote('hyper,87,19,factor_simp')] ).
cnf(97,plain,
$false,
inference(hyper,[status(thm)],[90,11,62,29]),
[iquote('hyper,90,11,62,29')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n018.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 : 300
% 0.13/0.34 % DateTime : Wed Jul 27 01:51:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.77/1.96 ----- Otter 3.3f, August 2004 -----
% 1.77/1.96 The process was started by sandbox on n018.cluster.edu,
% 1.77/1.96 Wed Jul 27 01:51:16 2022
% 1.77/1.96 The command was "./otter". The process ID is 7377.
% 1.77/1.96
% 1.77/1.96 set(prolog_style_variables).
% 1.77/1.96 set(auto).
% 1.77/1.96 dependent: set(auto1).
% 1.77/1.96 dependent: set(process_input).
% 1.77/1.96 dependent: clear(print_kept).
% 1.77/1.96 dependent: clear(print_new_demod).
% 1.77/1.96 dependent: clear(print_back_demod).
% 1.77/1.96 dependent: clear(print_back_sub).
% 1.77/1.96 dependent: set(control_memory).
% 1.77/1.96 dependent: assign(max_mem, 12000).
% 1.77/1.96 dependent: assign(pick_given_ratio, 4).
% 1.77/1.96 dependent: assign(stats_level, 1).
% 1.77/1.96 dependent: assign(max_seconds, 10800).
% 1.77/1.96 clear(print_given).
% 1.77/1.96
% 1.77/1.96 list(usable).
% 1.77/1.96 0 [] A=A.
% 1.77/1.96 0 [] from_mars(X)|from_venus(X).
% 1.77/1.96 0 [] -from_mars(X)| -from_venus(X).
% 1.77/1.96 0 [] male(X)|female(X).
% 1.77/1.96 0 [] -male(X)| -female(X).
% 1.77/1.96 0 [] truthteller(X)|liar(X).
% 1.77/1.96 0 [] -truthteller(X)| -liar(X).
% 1.77/1.96 0 [] -says(X,Y)|a_truth(Y)| -a_truth(Y).
% 1.77/1.96 0 [] -says(X,Y)|Y=statement_by(X).
% 1.77/1.96 0 [] -a_truth(statement_by(X))|truthteller(X).
% 1.77/1.96 0 [] a_truth(statement_by(X))|liar(X).
% 1.77/1.96 0 [] -from_venus(X)| -female(X)|truthteller(X).
% 1.77/1.96 0 [] -from_venus(X)| -male(X)|liar(X).
% 1.77/1.96 0 [] -from_mars(X)| -male(X)|truthteller(X).
% 1.77/1.96 0 [] -from_mars(X)| -female(X)|liar(X).
% 1.77/1.96 0 [] -truthteller(X)| -says(X,Y)|a_truth(Y).
% 1.77/1.96 0 [] -liar(X)| -says(X,Y)| -a_truth(Y).
% 1.77/1.96 0 [] says(ork,bog_is_from_venus).
% 1.77/1.96 0 [] says(bog,ork_is_from_mars).
% 1.77/1.96 0 [] says(ork,bog_is_male).
% 1.77/1.96 0 [] says(bog,ork_is_female).
% 1.77/1.96 0 [] -a_truth(bog_is_from_venus)|from_venus(bog).
% 1.77/1.96 0 [] -a_truth(ork_is_from_mars)|from_mars(ork).
% 1.77/1.96 0 [] -a_truth(bog_is_male)|male(bog).
% 1.77/1.96 0 [] -a_truth(ork_is_female)|female(ork).
% 1.77/1.96 0 [] -from_venus(bog)|a_truth(bog_is_from_venus).
% 1.77/1.96 0 [] -from_mars(ork)|a_truth(ork_is_from_mars).
% 1.77/1.96 0 [] -male(bog)|a_truth(bog_is_male).
% 1.77/1.96 0 [] -female(ork)|a_truth(ork_is_female).
% 1.77/1.96 0 [] -female(bog).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.77/1.96
% 1.77/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.77/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.77/1.96 deletion, with positive clauses in sos and nonpositive
% 1.77/1.96 clauses in usable.
% 1.77/1.96
% 1.77/1.96 dependent: set(knuth_bendix).
% 1.77/1.96 dependent: set(anl_eq).
% 1.77/1.96 dependent: set(para_from).
% 1.77/1.96 dependent: set(para_into).
% 1.77/1.96 dependent: clear(para_from_right).
% 1.77/1.96 dependent: clear(para_into_right).
% 1.77/1.96 dependent: set(para_from_vars).
% 1.77/1.96 dependent: set(eq_units_both_ways).
% 1.77/1.96 dependent: set(dynamic_demod_all).
% 1.77/1.96 dependent: set(dynamic_demod).
% 1.77/1.96 dependent: set(order_eq).
% 1.77/1.96 dependent: set(back_demod).
% 1.77/1.96 dependent: set(lrpo).
% 1.77/1.96 dependent: set(hyper_res).
% 1.77/1.96 dependent: set(unit_deletion).
% 1.77/1.96 dependent: set(factor).
% 1.77/1.96
% 1.77/1.96 ------------> process usable:
% 1.77/1.96 ** KEPT (pick-wt=4): 1 [] -from_mars(A)| -from_venus(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 2 [] -male(A)| -female(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 3 [] -truthteller(A)| -liar(A).
% 1.77/1.96 ** KEPT (pick-wt=7): 4 [] -says(A,B)|B=statement_by(A).
% 1.77/1.96 ** KEPT (pick-wt=5): 5 [] -a_truth(statement_by(A))|truthteller(A).
% 1.77/1.96 ** KEPT (pick-wt=6): 6 [] -from_venus(A)| -female(A)|truthteller(A).
% 1.77/1.96 ** KEPT (pick-wt=6): 7 [] -from_venus(A)| -male(A)|liar(A).
% 1.77/1.96 ** KEPT (pick-wt=6): 8 [] -from_mars(A)| -male(A)|truthteller(A).
% 1.77/1.96 ** KEPT (pick-wt=6): 9 [] -from_mars(A)| -female(A)|liar(A).
% 1.77/1.96 ** KEPT (pick-wt=7): 10 [] -truthteller(A)| -says(A,B)|a_truth(B).
% 1.77/1.96 ** KEPT (pick-wt=7): 11 [] -liar(A)| -says(A,B)| -a_truth(B).
% 1.77/1.96 ** KEPT (pick-wt=4): 12 [] -a_truth(bog_is_from_venus)|from_venus(bog).
% 1.77/1.96 ** KEPT (pick-wt=4): 13 [] -a_truth(ork_is_from_mars)|from_mars(ork).
% 1.77/1.96 ** KEPT (pick-wt=4): 14 [] -a_truth(bog_is_male)|male(bog).
% 1.77/1.96 ** KEPT (pick-wt=4): 15 [] -a_truth(ork_is_female)|female(ork).
% 1.77/1.96 ** KEPT (pick-wt=4): 16 [] -from_venus(bog)|a_truth(bog_is_from_venus).
% 1.77/1.96 ** KEPT (pick-wt=4): 17 [] -from_mars(ork)|a_truth(ork_is_from_mars).
% 1.77/1.96 ** KEPT (pick-wt=4): 18 [] -male(bog)|a_truth(bog_is_male).
% 1.77/1.96 ** KEPT (pick-wt=4): 19 [] -female(ork)|a_truth(ork_is_female).
% 1.77/1.96 ** KEPT (pick-wt=2): 20 [] -female(bog).
% 1.77/1.96
% 1.77/1.96 ------------> process sos:
% 1.77/1.96 ** KEPT (pick-wt=3): 21 [] A=A.
% 1.77/1.96 ** KEPT (pick-wt=4): 22 [] from_mars(A)|from_venus(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 23 [] male(A)|female(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 24 [] truthteller(A)|liar(A).
% 1.77/1.96 ** KEPT (pick-wt=5): 25 [] a_truth(statement_by(A))|liar(A).
% 1.77/1.96 ** KEPT (pick-wt=3): 26 [] says(ork,bog_is_from_venus).
% 1.77/1.96 ** KEPT (pick-wt=3): 27 [] says(bog,ork_is_from_mars).
% 1.77/1.96 ** KEPT (pick-wt=3): 28 [] says(ork,bog_is_male).
% 1.77/1.96 ** KEPT (pick-wt=3): 29 [] says(bog,ork_is_female).
% 1.77/1.96 Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] A=A.
% 1.77/1.96
% 1.77/1.96 ======= end of input processing =======
% 1.77/1.96
% 1.77/1.96 =========== start of search ===========
% 1.77/1.96
% 1.77/1.96 -------- PROOF --------
% 1.77/1.96
% 1.77/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 97 [hyper,90,11,62,29] $F.
% 1.77/1.96
% 1.77/1.96 Length of proof is 13. Level of proof is 7.
% 1.77/1.96
% 1.77/1.96 ---------------- PROOF ----------------
% 1.77/1.96 % SZS status Unsatisfiable
% 1.77/1.96 % SZS output start Refutation
% See solution above
% 1.77/1.96 ------------ end of proof -------------
% 1.77/1.96
% 1.77/1.96
% 1.77/1.96 Search stopped by max_proofs option.
% 1.77/1.96
% 1.77/1.96
% 1.77/1.96 Search stopped by max_proofs option.
% 1.77/1.96
% 1.77/1.96 ============ end of search ============
% 1.77/1.96
% 1.77/1.96 -------------- statistics -------------
% 1.77/1.96 clauses given 32
% 1.77/1.96 clauses generated 94
% 1.77/1.96 clauses kept 91
% 1.77/1.96 clauses forward subsumed 41
% 1.77/1.96 clauses back subsumed 12
% 1.77/1.96 Kbytes malloced 976
% 1.77/1.96
% 1.77/1.96 ----------- times (seconds) -----------
% 1.77/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.96
% 1.77/1.96 That finishes the proof of the theorem.
% 1.77/1.96
% 1.77/1.96 Process 7377 finished Wed Jul 27 01:51:17 2022
% 1.77/1.96 Otter interrupted
% 1.77/1.96 PROOF FOUND
%------------------------------------------------------------------------------