TSTP Solution File: PUZ026-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ026-1 : 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 13:11:24 EDT 2022
% Result : Unsatisfiable 1.83s 2.01s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 30 ( 11 unt; 13 nHn; 28 RR)
% Number of literals : 61 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ a_truth(A)
| ~ a_truth(says(B,A))
| a_truth(truthteller(B))
| a_truth(normal(B)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(7,axiom,
( a_truth(A)
| ~ a_truth(says(B,A))
| a_truth(liar(B))
| a_truth(normal(B)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ a_truth(not_normal(A))
| ~ a_truth(normal(A)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ people(A,B,C)
| ~ a_truth(truthteller(A))
| ~ a_truth(truthteller(B)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ people(A,B,C)
| ~ a_truth(liar(A))
| ~ a_truth(liar(C)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(B)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(C)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ a_truth(liar(A))
| ~ a_truth(normal(B))
| ~ a_truth(truthteller(C)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(18,plain,
( a_truth(normal(A))
| ~ a_truth(says(A,normal(A)))
| a_truth(liar(A)) ),
inference(factor,[status(thm)],[7]),
[iquote('factor,7.1.4')] ).
cnf(25,axiom,
( a_truth(truthteller(A))
| a_truth(liar(A))
| a_truth(normal(A)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(26,axiom,
( a_truth(not_normal(A))
| a_truth(normal(A)) ),
file('PUZ026-1.p',unknown),
[] ).
cnf(27,axiom,
people(a,b,c),
file('PUZ026-1.p',unknown),
[] ).
cnf(28,axiom,
people(b,c,a),
file('PUZ026-1.p',unknown),
[] ).
cnf(29,axiom,
people(c,b,a),
file('PUZ026-1.p',unknown),
[] ).
cnf(30,axiom,
a_truth(says(a,normal(a))),
file('PUZ026-1.p',unknown),
[] ).
cnf(32,axiom,
a_truth(says(c,not_normal(c))),
file('PUZ026-1.p',unknown),
[] ).
cnf(43,plain,
( a_truth(normal(a))
| a_truth(liar(a)) ),
inference(hyper,[status(thm)],[30,18]),
[iquote('hyper,30,18')] ).
cnf(48,plain,
( a_truth(not_normal(a))
| a_truth(truthteller(b))
| a_truth(liar(b)) ),
inference(hyper,[status(thm)],[26,14,28,25]),
[iquote('hyper,26,14,28,25')] ).
cnf(57,plain,
( a_truth(truthteller(c))
| a_truth(normal(c)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[32,6,26])]),
[iquote('hyper,32,6,26,factor_simp')] ).
cnf(61,plain,
( a_truth(liar(a))
| a_truth(not_normal(b)) ),
inference(hyper,[status(thm)],[43,14,28,26]),
[iquote('hyper,43,14,28,26')] ).
cnf(132,plain,
( a_truth(truthteller(c))
| a_truth(not_normal(a)) ),
inference(hyper,[status(thm)],[57,14,27,26]),
[iquote('hyper,57,14,27,26')] ).
cnf(134,plain,
( a_truth(truthteller(c))
| a_truth(not_normal(b)) ),
inference(hyper,[status(thm)],[57,13,28,26]),
[iquote('hyper,57,13,28,26')] ).
cnf(186,plain,
a_truth(not_normal(b)),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[134,15,61,26])])]),
[iquote('hyper,134,15,61,26,factor_simp,factor_simp')] ).
cnf(187,plain,
( a_truth(not_normal(a))
| a_truth(liar(b)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[48,9,29,132])]),
[iquote('hyper,48,9,29,132,factor_simp')] ).
cnf(194,plain,
( a_truth(truthteller(b))
| a_truth(liar(b)) ),
inference(hyper,[status(thm)],[186,8,25]),
[iquote('hyper,186,8,25')] ).
cnf(200,plain,
a_truth(not_normal(a)),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[187,15,26,132])])]),
[iquote('hyper,187,15,26,132,factor_simp,factor_simp')] ).
cnf(204,plain,
a_truth(liar(a)),
inference(hyper,[status(thm)],[200,8,43]),
[iquote('hyper,200,8,43')] ).
cnf(228,plain,
a_truth(truthteller(b)),
inference(hyper,[status(thm)],[194,12,28,204]),
[iquote('hyper,194,12,28,204')] ).
cnf(229,plain,
a_truth(truthteller(c)),
inference(hyper,[status(thm)],[228,15,204,57]),
[iquote('hyper,228,15,204,57')] ).
cnf(234,plain,
$false,
inference(hyper,[status(thm)],[229,9,28,228]),
[iquote('hyper,229,9,28,228')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.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 01:48:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.83/2.01 ----- Otter 3.3f, August 2004 -----
% 1.83/2.01 The process was started by sandbox on n014.cluster.edu,
% 1.83/2.01 Wed Jul 27 01:48:39 2022
% 1.83/2.01 The command was "./otter". The process ID is 23494.
% 1.83/2.01
% 1.83/2.01 set(prolog_style_variables).
% 1.83/2.01 set(auto).
% 1.83/2.01 dependent: set(auto1).
% 1.83/2.01 dependent: set(process_input).
% 1.83/2.01 dependent: clear(print_kept).
% 1.83/2.01 dependent: clear(print_new_demod).
% 1.83/2.01 dependent: clear(print_back_demod).
% 1.83/2.01 dependent: clear(print_back_sub).
% 1.83/2.01 dependent: set(control_memory).
% 1.83/2.01 dependent: assign(max_mem, 12000).
% 1.83/2.01 dependent: assign(pick_given_ratio, 4).
% 1.83/2.01 dependent: assign(stats_level, 1).
% 1.83/2.01 dependent: assign(max_seconds, 10800).
% 1.83/2.01 clear(print_given).
% 1.83/2.01
% 1.83/2.01 list(usable).
% 1.83/2.01 0 [] a_truth(truthteller(X))|a_truth(liar(X))|a_truth(normal(X)).
% 1.83/2.01 0 [] -a_truth(truthteller(X))| -a_truth(normal(X)).
% 1.83/2.01 0 [] -a_truth(truthteller(X))| -a_truth(liar(X)).
% 1.83/2.01 0 [] -a_truth(liar(X))| -a_truth(normal(X)).
% 1.83/2.01 0 [] -a_truth(truthteller(X))| -a_truth(says(X,Y))|a_truth(Y).
% 1.83/2.01 0 [] -a_truth(liar(X))| -a_truth(says(X,Y))| -a_truth(Y).
% 1.83/2.01 0 [] -a_truth(X)| -a_truth(says(Y,X))|a_truth(truthteller(Y))|a_truth(normal(Y)).
% 1.83/2.01 0 [] a_truth(X)| -a_truth(says(Y,X))|a_truth(liar(Y))|a_truth(normal(Y)).
% 1.83/2.01 0 [] -a_truth(not_normal(X))| -a_truth(normal(X)).
% 1.83/2.01 0 [] a_truth(not_normal(X))|a_truth(normal(X)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(truthteller(X))| -a_truth(truthteller(Y)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(truthteller(X))| -a_truth(truthteller(Z)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(liar(Y)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(liar(Z)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(normal(X))| -a_truth(normal(Y)).
% 1.83/2.01 0 [] -people(X,Y,Z)| -a_truth(normal(X))| -a_truth(normal(Z)).
% 1.83/2.01 0 [] people(a,b,c).
% 1.83/2.01 0 [] people(b,c,a).
% 1.83/2.01 0 [] people(c,b,a).
% 1.83/2.01 0 [] a_truth(says(a,normal(a))).
% 1.83/2.01 0 [] a_truth(says(b,normal(a))).
% 1.83/2.01 0 [] a_truth(says(c,not_normal(c))).
% 1.83/2.01 0 [] -a_truth(liar(Liar))| -a_truth(normal(Normal))| -a_truth(truthteller(Truthteller)).
% 1.83/2.01 end_of_list.
% 1.83/2.01
% 1.83/2.01 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.83/2.01
% 1.83/2.01 This is a non-Horn set without equality. The strategy will
% 1.83/2.01 be ordered hyper_res, unit deletion, and factoring, with
% 1.83/2.01 satellites in sos and with nuclei in usable.
% 1.83/2.01
% 1.83/2.01 dependent: set(hyper_res).
% 1.83/2.01 dependent: set(factor).
% 1.83/2.01 dependent: set(unit_deletion).
% 1.83/2.01
% 1.83/2.01 ------------> process usable:
% 1.83/2.01 ** KEPT (pick-wt=6): 1 [] -a_truth(truthteller(A))| -a_truth(normal(A)).
% 1.83/2.01 ** KEPT (pick-wt=6): 2 [] -a_truth(truthteller(A))| -a_truth(liar(A)).
% 1.83/2.01 ** KEPT (pick-wt=6): 3 [] -a_truth(liar(A))| -a_truth(normal(A)).
% 1.83/2.01 ** KEPT (pick-wt=9): 4 [] -a_truth(truthteller(A))| -a_truth(says(A,B))|a_truth(B).
% 1.83/2.01 ** KEPT (pick-wt=9): 5 [] -a_truth(liar(A))| -a_truth(says(A,B))| -a_truth(B).
% 1.83/2.01 ** KEPT (pick-wt=12): 6 [] -a_truth(A)| -a_truth(says(B,A))|a_truth(truthteller(B))|a_truth(normal(B)).
% 1.83/2.01 ** KEPT (pick-wt=12): 7 [] a_truth(A)| -a_truth(says(B,A))|a_truth(liar(B))|a_truth(normal(B)).
% 1.83/2.01 ** KEPT (pick-wt=6): 8 [] -a_truth(not_normal(A))| -a_truth(normal(A)).
% 1.83/2.01 ** KEPT (pick-wt=10): 9 [] -people(A,B,C)| -a_truth(truthteller(A))| -a_truth(truthteller(B)).
% 1.83/2.01 ** KEPT (pick-wt=10): 10 [] -people(A,B,C)| -a_truth(truthteller(A))| -a_truth(truthteller(C)).
% 1.83/2.01 ** KEPT (pick-wt=10): 11 [] -people(A,B,C)| -a_truth(liar(A))| -a_truth(liar(B)).
% 1.83/2.01 ** KEPT (pick-wt=10): 12 [] -people(A,B,C)| -a_truth(liar(A))| -a_truth(liar(C)).
% 1.83/2.01 ** KEPT (pick-wt=10): 13 [] -people(A,B,C)| -a_truth(normal(A))| -a_truth(normal(B)).
% 1.83/2.01 ** KEPT (pick-wt=10): 14 [] -people(A,B,C)| -a_truth(normal(A))| -a_truth(normal(C)).
% 1.83/2.01 ** KEPT (pick-wt=9): 15 [] -a_truth(liar(A))| -a_truth(normal(B))| -a_truth(truthteller(C)).
% 1.83/2.01
% 1.83/2.01 ------------> process sos:
% 1.83/2.01 ** KEPT (pick-wt=9): 25 [] a_truth(truthteller(A))|a_truth(liar(A))|a_truth(normal(A)).
% 1.83/2.01 ** KEPT (pick-wt=6): 26 [] a_truth(not_normal(A))|a_truth(normal(A)).
% 1.83/2.01 ** KEPT (pick-wt=4): 27 [] people(a,b,c).
% 1.83/2.01 ** KEPT (pick-wt=4): 28 [] people(b,c,a).
% 1.83/2.01 ** KEPT (pick-wt=4): 29 [] people(c,b,a).
% 1.83/2.01 ** KEPT (pick-wt=5): 30 [] a_truth(says(a,normal(a))).
% 1.83/2.01 ** KEPT (pick-wt=5): 31 [] a_truth(says(b,normal(a))).
% 1.83/2.01 ** KEPT (pick-wt=5): 32 [] a_truth(says(c,not_normal(c))).
% 1.83/2.01
% 1.83/2.01 ======= end of input processing =======
% 1.83/2.01
% 1.83/2.01 =========== start of search ===========
% 1.83/2.01
% 1.83/2.01 -------- PROOF --------
% 1.83/2.01
% 1.83/2.01 -----> EMPTY CLAUSE at 0.09 sec ----> 234 [hyper,229,9,28,228] $F.
% 1.83/2.01
% 1.83/2.01 Length of proof is 14. Level of proof is 7.
% 1.83/2.01
% 1.83/2.01 ---------------- PROOF ----------------
% 1.83/2.01 % SZS status Unsatisfiable
% 1.83/2.01 % SZS output start Refutation
% See solution above
% 1.83/2.01 ------------ end of proof -------------
% 1.83/2.01
% 1.83/2.01
% 1.83/2.01 Search stopped by max_proofs option.
% 1.83/2.01
% 1.83/2.01
% 1.83/2.01 Search stopped by max_proofs option.
% 1.83/2.01
% 1.83/2.01 ============ end of search ============
% 1.83/2.01
% 1.83/2.01 -------------- statistics -------------
% 1.83/2.01 clauses given 29
% 1.83/2.01 clauses generated 2459
% 1.83/2.01 clauses kept 233
% 1.83/2.01 clauses forward subsumed 2248
% 1.83/2.01 clauses back subsumed 194
% 1.83/2.01 Kbytes malloced 976
% 1.83/2.01
% 1.83/2.01 ----------- times (seconds) -----------
% 1.83/2.01 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.83/2.01 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.83/2.01 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.83/2.01
% 1.83/2.01 That finishes the proof of the theorem.
% 1.83/2.01
% 1.83/2.01 Process 23494 finished Wed Jul 27 01:48:41 2022
% 1.83/2.01 Otter interrupted
% 1.83/2.01 PROOF FOUND
%------------------------------------------------------------------------------