TSTP Solution File: PUZ007-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:11:01 EDT 2022
% Result : Unsatisfiable 1.82s 1.98s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 33 ( 6 unt; 17 nHn; 32 RR)
% Number of literals : 66 ( 1 equ; 18 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ from_mars(A)
| ~ from_venus(A) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ from_venus(A)
| ~ female(A)
| truthteller(A) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ from_mars(A)
| ~ female(A)
| liar(A) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ truthteller(A)
| ~ says(A,B)
| a_truth(B) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ liar(A)
| ~ says(A,B)
| ~ a_truth(B) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(13,axiom,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ male(a)
| female(b) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(19,axiom,
( male(A)
| female(A) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(22,axiom,
says(a,a_from_mars),
file('PUZ007-1.p',unknown),
[] ).
cnf(23,axiom,
says(b,a_has_lied),
file('PUZ007-1.p',unknown),
[] ).
cnf(27,axiom,
statement_by(b) = a_has_lied,
file('PUZ007-1.p',unknown),
[] ).
cnf(28,axiom,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(29,plain,
( a_truth(a_from_mars)
| a_truth(a_has_lied) ),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[28]),27]),
[iquote('copy,28,demod,27')] ).
cnf(30,axiom,
( from_mars(b)
| from_mars(a) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(31,axiom,
( from_venus(a)
| from_venus(b) ),
file('PUZ007-1.p',unknown),
[] ).
cnf(32,plain,
( ~ a_truth(a_from_mars)
| ~ a_truth(a_has_lied) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),27]),
[iquote('back_demod,14,demod,27')] ).
cnf(37,plain,
( female(a)
| female(b) ),
inference(hyper,[status(thm)],[19,16]),
[iquote('hyper,19,16')] ).
cnf(47,plain,
( a_truth(a_has_lied)
| from_mars(a) ),
inference(hyper,[status(thm)],[29,13]),
[iquote('hyper,29,13')] ).
cnf(51,plain,
( from_mars(b)
| a_truth(a_from_mars) ),
inference(hyper,[status(thm)],[30,12]),
[iquote('hyper,30,12')] ).
cnf(65,plain,
( female(a)
| liar(b)
| from_mars(a) ),
inference(hyper,[status(thm)],[37,9,30]),
[iquote('hyper,37,9,30')] ).
cnf(84,plain,
( a_truth(a_has_lied)
| liar(a)
| female(b) ),
inference(hyper,[status(thm)],[47,9,37]),
[iquote('hyper,47,9,37')] ).
cnf(85,plain,
( a_truth(a_has_lied)
| from_venus(b) ),
inference(hyper,[status(thm)],[47,1,31]),
[iquote('hyper,47,1,31')] ).
cnf(91,plain,
( a_truth(a_from_mars)
| from_venus(a) ),
inference(hyper,[status(thm)],[51,1,31]),
[iquote('hyper,51,1,31')] ).
cnf(169,plain,
( a_truth(a_has_lied)
| female(b) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[84,11,22,29])]),
[iquote('hyper,84,11,22,29,factor_simp')] ).
cnf(170,plain,
( a_truth(a_has_lied)
| truthteller(b) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[169,6,85])]),
[iquote('hyper,169,6,85,factor_simp')] ).
cnf(185,plain,
a_truth(a_has_lied),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[170,10,23])]),
[iquote('hyper,170,10,23,factor_simp')] ).
cnf(187,plain,
( female(a)
| from_mars(a) ),
inference(hyper,[status(thm)],[185,11,65,23]),
[iquote('hyper,185,11,65,23')] ).
cnf(192,plain,
( female(a)
| a_truth(a_from_mars) ),
inference(hyper,[status(thm)],[187,12]),
[iquote('hyper,187,12')] ).
cnf(213,plain,
( a_truth(a_from_mars)
| truthteller(a) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[192,6,91])]),
[iquote('hyper,192,6,91,factor_simp')] ).
cnf(234,plain,
a_truth(a_from_mars),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[213,10,22])]),
[iquote('hyper,213,10,22,factor_simp')] ).
cnf(243,plain,
$false,
inference(hyper,[status(thm)],[234,32,185]),
[iquote('hyper,234,32,185')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 01:48:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.76/1.97 ----- Otter 3.3f, August 2004 -----
% 1.76/1.97 The process was started by sandbox on n014.cluster.edu,
% 1.76/1.97 Wed Jul 27 01:48:24 2022
% 1.76/1.97 The command was "./otter". The process ID is 22131.
% 1.76/1.97
% 1.76/1.97 set(prolog_style_variables).
% 1.76/1.97 set(auto).
% 1.76/1.97 dependent: set(auto1).
% 1.76/1.97 dependent: set(process_input).
% 1.76/1.97 dependent: clear(print_kept).
% 1.76/1.97 dependent: clear(print_new_demod).
% 1.76/1.97 dependent: clear(print_back_demod).
% 1.76/1.97 dependent: clear(print_back_sub).
% 1.76/1.97 dependent: set(control_memory).
% 1.76/1.97 dependent: assign(max_mem, 12000).
% 1.76/1.97 dependent: assign(pick_given_ratio, 4).
% 1.76/1.97 dependent: assign(stats_level, 1).
% 1.76/1.97 dependent: assign(max_seconds, 10800).
% 1.76/1.97 clear(print_given).
% 1.76/1.97
% 1.76/1.97 list(usable).
% 1.76/1.97 0 [] A=A.
% 1.76/1.97 0 [] from_mars(X)|from_venus(X).
% 1.76/1.97 0 [] -from_mars(X)| -from_venus(X).
% 1.76/1.97 0 [] male(X)|female(X).
% 1.76/1.97 0 [] -male(X)| -female(X).
% 1.76/1.97 0 [] truthteller(X)|liar(X).
% 1.76/1.97 0 [] -truthteller(X)| -liar(X).
% 1.76/1.97 0 [] -says(X,Y)|a_truth(Y)| -a_truth(Y).
% 1.76/1.97 0 [] -says(X,Y)|Y=statement_by(X).
% 1.76/1.97 0 [] -a_truth(statement_by(X))|truthteller(X).
% 1.76/1.97 0 [] a_truth(statement_by(X))|liar(X).
% 1.76/1.97 0 [] -from_venus(X)| -female(X)|truthteller(X).
% 1.76/1.97 0 [] -from_venus(X)| -male(X)|liar(X).
% 1.76/1.97 0 [] -from_mars(X)| -male(X)|truthteller(X).
% 1.76/1.97 0 [] -from_mars(X)| -female(X)|liar(X).
% 1.76/1.97 0 [] -truthteller(X)| -says(X,Y)|a_truth(Y).
% 1.76/1.97 0 [] -liar(X)| -says(X,Y)| -a_truth(Y).
% 1.76/1.97 0 [] says(a,a_from_mars).
% 1.76/1.97 0 [] says(b,a_has_lied).
% 1.76/1.97 0 [] -from_mars(a)|a_truth(a_from_mars).
% 1.76/1.97 0 [] from_mars(a)| -a_truth(a_from_mars).
% 1.76/1.97 0 [] -a_truth(a_from_mars)| -a_truth(statement_by(b)).
% 1.76/1.97 0 [] statement_by(a)=a_from_mars.
% 1.76/1.97 0 [] statement_by(b)=a_has_lied.
% 1.76/1.97 0 [] a_truth(a_from_mars)|a_truth(statement_by(b)).
% 1.76/1.97 0 [] -female(a)|male(b).
% 1.76/1.97 0 [] -male(a)|female(b).
% 1.76/1.97 0 [] from_mars(b)|from_mars(a).
% 1.76/1.97 0 [] from_venus(a)|from_venus(b).
% 1.76/1.97 end_of_list.
% 1.76/1.97
% 1.76/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.76/1.97
% 1.76/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.76/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.76/1.97 deletion, with positive clauses in sos and nonpositive
% 1.76/1.97 clauses in usable.
% 1.76/1.97
% 1.76/1.97 dependent: set(knuth_bendix).
% 1.76/1.97 dependent: set(anl_eq).
% 1.76/1.97 dependent: set(para_from).
% 1.76/1.97 dependent: set(para_into).
% 1.76/1.97 dependent: clear(para_from_right).
% 1.76/1.97 dependent: clear(para_into_right).
% 1.76/1.97 dependent: set(para_from_vars).
% 1.76/1.97 dependent: set(eq_units_both_ways).
% 1.76/1.97 dependent: set(dynamic_demod_all).
% 1.76/1.97 dependent: set(dynamic_demod).
% 1.76/1.97 dependent: set(order_eq).
% 1.76/1.97 dependent: set(back_demod).
% 1.76/1.97 dependent: set(lrpo).
% 1.76/1.97 dependent: set(hyper_res).
% 1.76/1.97 dependent: set(unit_deletion).
% 1.76/1.97 dependent: set(factor).
% 1.76/1.97
% 1.76/1.97 ------------> process usable:
% 1.76/1.97 ** KEPT (pick-wt=4): 1 [] -from_mars(A)| -from_venus(A).
% 1.76/1.97 ** KEPT (pick-wt=4): 2 [] -male(A)| -female(A).
% 1.76/1.97 ** KEPT (pick-wt=4): 3 [] -truthteller(A)| -liar(A).
% 1.76/1.97 ** KEPT (pick-wt=7): 4 [] -says(A,B)|B=statement_by(A).
% 1.76/1.97 ** KEPT (pick-wt=5): 5 [] -a_truth(statement_by(A))|truthteller(A).
% 1.76/1.97 ** KEPT (pick-wt=6): 6 [] -from_venus(A)| -female(A)|truthteller(A).
% 1.76/1.97 ** KEPT (pick-wt=6): 7 [] -from_venus(A)| -male(A)|liar(A).
% 1.76/1.97 ** KEPT (pick-wt=6): 8 [] -from_mars(A)| -male(A)|truthteller(A).
% 1.76/1.97 ** KEPT (pick-wt=6): 9 [] -from_mars(A)| -female(A)|liar(A).
% 1.76/1.97 ** KEPT (pick-wt=7): 10 [] -truthteller(A)| -says(A,B)|a_truth(B).
% 1.76/1.97 ** KEPT (pick-wt=7): 11 [] -liar(A)| -says(A,B)| -a_truth(B).
% 1.76/1.97 ** KEPT (pick-wt=4): 12 [] -from_mars(a)|a_truth(a_from_mars).
% 1.76/1.97 ** KEPT (pick-wt=4): 13 [] from_mars(a)| -a_truth(a_from_mars).
% 1.76/1.97 ** KEPT (pick-wt=5): 14 [] -a_truth(a_from_mars)| -a_truth(statement_by(b)).
% 1.76/1.97 ** KEPT (pick-wt=4): 15 [] -female(a)|male(b).
% 1.76/1.97 ** KEPT (pick-wt=4): 16 [] -male(a)|female(b).
% 1.76/1.97
% 1.76/1.97 ------------> process sos:
% 1.76/1.97 ** KEPT (pick-wt=3): 17 [] A=A.
% 1.76/1.97 ** KEPT (pick-wt=4): 18 [] from_mars(A)|from_venus(A).
% 1.76/1.97 ** KEPT (pick-wt=4): 19 [] male(A)|female(A).
% 1.76/1.97 ** KEPT (pick-wt=4): 20 [] truthteller(A)|liar(A).
% 1.76/1.97 ** KEPT (pick-wt=5): 21 [] a_truth(statement_by(A))|liar(A).
% 1.76/1.97 ** KEPT (pick-wt=3): 22 [] says(a,a_from_mars).
% 1.76/1.97 ** KEPT (pick-wt=3): 23 [] says(b,a_has_lied).
% 1.76/1.97 ** KEPT (pick-wt=4): 24 [] statement_by(a)=a_from_mars.
% 1.76/1.97 ---> New Demodulator: 25 [new_demod,24] statement_by(a)=a_from_mars.
% 1.76/1.97 ** KEPT (pick-wt=4): 26 [] statement_by(b)=a_has_lied.
% 1.76/1.97 ---> New Demodulator: 27 [new_demod,26] statement_by(b)=a_has_lied.
% 1.76/1.97 ** KEPT (pick-wt=4): 29 [copy,28,demod,27] a_truth(a_from_mars)|a_truth(a_has_lied).
% 1.82/1.98 ** KEPT (pick-wt=4): 30 [] from_mars(b)|from_mars(a).
% 1.82/1.98 ** KEPT (pick-wt=4): 31 [] from_venus(a)|from_venus(b).
% 1.82/1.98 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 1.82/1.98 >>>> Starting back demodulation with 25.
% 1.82/1.98 >>>> Starting back demodulation with 27.
% 1.82/1.98 >> back demodulating 14 with 27.
% 1.82/1.98
% 1.82/1.98 ======= end of input processing =======
% 1.82/1.98
% 1.82/1.98 =========== start of search ===========
% 1.82/1.98
% 1.82/1.98 -------- PROOF --------
% 1.82/1.98
% 1.82/1.98 -----> EMPTY CLAUSE at 0.01 sec ----> 243 [hyper,234,32,185] $F.
% 1.82/1.98
% 1.82/1.98 Length of proof is 16. Level of proof is 10.
% 1.82/1.98
% 1.82/1.98 ---------------- PROOF ----------------
% 1.82/1.98 % SZS status Unsatisfiable
% 1.82/1.98 % SZS output start Refutation
% See solution above
% 1.82/1.98 ------------ end of proof -------------
% 1.82/1.98
% 1.82/1.98
% 1.82/1.98 Search stopped by max_proofs option.
% 1.82/1.98
% 1.82/1.98
% 1.82/1.98 Search stopped by max_proofs option.
% 1.82/1.98
% 1.82/1.98 ============ end of search ============
% 1.82/1.98
% 1.82/1.98 -------------- statistics -------------
% 1.82/1.98 clauses given 62
% 1.82/1.98 clauses generated 409
% 1.82/1.98 clauses kept 239
% 1.82/1.98 clauses forward subsumed 199
% 1.82/1.98 clauses back subsumed 89
% 1.82/1.98 Kbytes malloced 976
% 1.82/1.98
% 1.82/1.98 ----------- times (seconds) -----------
% 1.82/1.98 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.82/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.82/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.82/1.98
% 1.82/1.98 That finishes the proof of the theorem.
% 1.82/1.98
% 1.82/1.98 Process 22131 finished Wed Jul 27 01:48:26 2022
% 1.82/1.98 Otter interrupted
% 1.82/1.98 PROOF FOUND
%------------------------------------------------------------------------------