TSTP Solution File: PUZ024-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 1.72s 1.92s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 4 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ a_truth(A)
| ~ a_truth(says(B,A))
| a_truth(truthteller(B)) ),
file('PUZ024-1.p',unknown),
[] ).
cnf(13,axiom,
( a_truth(all_are_liars)
| ~ people(A,B,C)
| a_truth(truthteller(A))
| a_truth(truthteller(B))
| a_truth(truthteller(C)) ),
file('PUZ024-1.p',unknown),
[] ).
cnf(14,axiom,
~ a_truth(truthteller(A)),
file('PUZ024-1.p',unknown),
[] ).
cnf(26,axiom,
people(b,c,a),
file('PUZ024-1.p',unknown),
[] ).
cnf(29,axiom,
a_truth(says(a,all_are_liars)),
file('PUZ024-1.p',unknown),
[] ).
cnf(31,plain,
a_truth(all_are_liars),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[26,13]),14,14,14]),
[iquote('hyper,26,13,unit_del,14,14,14')] ).
cnf(32,plain,
a_truth(truthteller(a)),
inference(hyper,[status(thm)],[29,4,31]),
[iquote('hyper,29,4,31')] ).
cnf(33,plain,
$false,
inference(binary,[status(thm)],[32,14]),
[iquote('binary,32.1,14.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 01:47:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.72/1.92 ----- Otter 3.3f, August 2004 -----
% 1.72/1.92 The process was started by sandbox2 on n005.cluster.edu,
% 1.72/1.92 Wed Jul 27 01:47:20 2022
% 1.72/1.92 The command was "./otter". The process ID is 10370.
% 1.72/1.92
% 1.72/1.92 set(prolog_style_variables).
% 1.72/1.92 set(auto).
% 1.72/1.92 dependent: set(auto1).
% 1.72/1.92 dependent: set(process_input).
% 1.72/1.92 dependent: clear(print_kept).
% 1.72/1.92 dependent: clear(print_new_demod).
% 1.72/1.92 dependent: clear(print_back_demod).
% 1.72/1.92 dependent: clear(print_back_sub).
% 1.72/1.92 dependent: set(control_memory).
% 1.72/1.92 dependent: assign(max_mem, 12000).
% 1.72/1.92 dependent: assign(pick_given_ratio, 4).
% 1.72/1.92 dependent: assign(stats_level, 1).
% 1.72/1.92 dependent: assign(max_seconds, 10800).
% 1.72/1.92 clear(print_given).
% 1.72/1.92
% 1.72/1.92 list(usable).
% 1.72/1.92 0 [] a_truth(truthteller(X))|a_truth(liar(X)).
% 1.72/1.92 0 [] -a_truth(truthteller(X))| -a_truth(liar(X)).
% 1.72/1.92 0 [] -a_truth(truthteller(Truthteller))| -a_truth(says(Truthteller,Statement))|a_truth(Statement).
% 1.72/1.92 0 [] -a_truth(liar(Liar))| -a_truth(says(Liar,Statement))| -a_truth(Statement).
% 1.72/1.92 0 [] -a_truth(Statement)| -a_truth(says(Truthteller,Statement))|a_truth(truthteller(Truthteller)).
% 1.72/1.92 0 [] a_truth(Statement)| -a_truth(says(Liar,Statement))|a_truth(liar(Liar)).
% 1.72/1.92 0 [] -a_truth(says(X,one_truthteller))| -people(X,Y,Z)| -a_truth(truthteller(X))| -a_truth(truthteller(Y))| -a_truth(truthteller(Z)).
% 1.72/1.92 0 [] -a_truth(one_truthteller)| -people(X,Y,Z)|a_truth(truthteller(X))|a_truth(truthteller(Y))|a_truth(truthteller(Z)).
% 1.72/1.92 0 [] -a_truth(one_truthteller)| -people(X,Y,Z)| -a_truth(truthteller(Y))| -a_truth(truthteller(X))| -a_truth(truthteller(Z)).
% 1.72/1.92 0 [] -a_truth(one_truthteller)| -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(truthteller(Y))|a_truth(liar(Z)).
% 1.72/1.92 0 [] a_truth(one_truthteller)| -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(truthteller(Y))|a_truth(truthteller(Z)).
% 1.72/1.92 0 [] a_truth(one_truthteller)| -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(liar(Y))|a_truth(liar(Z)).
% 1.72/1.92 0 [] -a_truth(says(X,all_are_liars))| -people(X,Y,Z)| -a_truth(truthteller(X)).
% 1.72/1.92 0 [] a_truth(all_are_liars)| -people(X,Y,Z)|a_truth(truthteller(X))|a_truth(truthteller(Y))|a_truth(truthteller(Z)).
% 1.72/1.92 0 [] people(b,c,a).
% 1.72/1.92 0 [] people(a,c,b).
% 1.72/1.92 0 [] people(c,b,a).
% 1.72/1.92 0 [] a_truth(says(a,all_are_liars)).
% 1.72/1.92 0 [] a_truth(says(b,one_truthteller)).
% 1.72/1.92 0 [] -a_truth(truthteller(Truthteller)).
% 1.72/1.92 end_of_list.
% 1.72/1.92
% 1.72/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.72/1.92
% 1.72/1.92 This is a non-Horn set without equality. The strategy will
% 1.72/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.72/1.92 satellites in sos and with nuclei in usable.
% 1.72/1.92
% 1.72/1.92 dependent: set(hyper_res).
% 1.72/1.92 dependent: set(factor).
% 1.72/1.92 dependent: set(unit_deletion).
% 1.72/1.92
% 1.72/1.92 ------------> process usable:
% 1.72/1.92 ** KEPT (pick-wt=6): 1 [] -a_truth(truthteller(A))| -a_truth(liar(A)).
% 1.72/1.92 ** KEPT (pick-wt=9): 2 [] -a_truth(truthteller(A))| -a_truth(says(A,B))|a_truth(B).
% 1.72/1.92 ** KEPT (pick-wt=9): 3 [] -a_truth(liar(A))| -a_truth(says(A,B))| -a_truth(B).
% 1.72/1.92 ** KEPT (pick-wt=9): 4 [] -a_truth(A)| -a_truth(says(B,A))|a_truth(truthteller(B)).
% 1.72/1.92 ** KEPT (pick-wt=9): 5 [] a_truth(A)| -a_truth(says(B,A))|a_truth(liar(B)).
% 1.72/1.92 ** KEPT (pick-wt=17): 6 [] -a_truth(says(A,one_truthteller))| -people(A,B,C)| -a_truth(truthteller(A))| -a_truth(truthteller(B))| -a_truth(truthteller(C)).
% 1.72/1.92 ** KEPT (pick-wt=15): 7 [] -a_truth(one_truthteller)| -people(A,B,C)|a_truth(truthteller(A))|a_truth(truthteller(B))|a_truth(truthteller(C)).
% 1.72/1.92 ** KEPT (pick-wt=15): 8 [] -a_truth(one_truthteller)| -people(A,B,C)| -a_truth(truthteller(B))| -a_truth(truthteller(A))| -a_truth(truthteller(C)).
% 1.72/1.92 ** KEPT (pick-wt=15): 9 [] -a_truth(one_truthteller)| -people(A,B,C)| -a_truth(liar(A))| -a_truth(truthteller(B))|a_truth(liar(C)).
% 1.72/1.92 ** KEPT (pick-wt=15): 10 [] a_truth(one_truthteller)| -people(A,B,C)| -a_truth(liar(A))| -a_truth(truthteller(B))|a_truth(truthteller(C)).
% 1.72/1.92 ** KEPT (pick-wt=15): 11 [] a_truth(one_truthteller)| -people(A,B,C)| -a_truth(liar(A))| -a_truth(liar(B))|a_truth(liar(C)).
% 1.72/1.92 ** KEPT (pick-wt=11): 12 [] -a_truth(says(A,all_are_liars))| -people(A,B,C)| -a_truth(truthteller(A)).
% 1.72/1.92 ** KEPT (pick-wt=15): 13 [] a_truth(all_are_liars)| -people(A,B,C)|a_truth(truthteller(A))|a_truth(truthteller(B))|a_truth(truthteller(C)).
% 1.72/1.92 ** KEPT (pick-wt=3): 14 [] -a_truth(truthteller(A)).
% 1.72/1.92 14 back subsumes 12.
% 1.72/1.92 14 back subsumes 10.
% 1.72/1.92 14 back subsumes 9.
% 1.72/1.92 14 back subsumes 8.
% 1.72/1.92 14 back subsumes 6.
% 1.72/1.92 14 back subsumes 2.
% 1.72/1.92 14 back subsumes 1.
% 1.72/1.92
% 1.72/1.92 ------------> process sos:
% 1.72/1.92 ** KEPT (pick-wt=3): 25 [copy,24,unit_del,14] a_truth(liar(A)).
% 1.72/1.92 ** KEPT (pick-wt=4): 26 [] people(b,c,a).
% 1.72/1.92 ** KEPT (pick-wt=4): 27 [] people(a,c,b).
% 1.72/1.92 ** KEPT (pick-wt=4): 28 [] people(c,b,a).
% 1.72/1.92 ** KEPT (pick-wt=4): 29 [] a_truth(says(a,all_are_liars)).
% 1.72/1.92 ** KEPT (pick-wt=4): 30 [] a_truth(says(b,one_truthteller)).
% 1.72/1.92 25 back subsumes 20.
% 1.72/1.92 25 back subsumes 16.
% 1.72/1.92 25 back subsumes 11.
% 1.72/1.92 25 back subsumes 5.
% 1.72/1.92
% 1.72/1.92 ======= end of input processing =======
% 1.72/1.92
% 1.72/1.92 =========== start of search ===========
% 1.72/1.92
% 1.72/1.92 -------- PROOF --------
% 1.72/1.92
% 1.72/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 33 [binary,32.1,14.1] $F.
% 1.72/1.92
% 1.72/1.92 Length of proof is 2. Level of proof is 2.
% 1.72/1.92
% 1.72/1.92 ---------------- PROOF ----------------
% 1.72/1.92 % SZS status Unsatisfiable
% 1.72/1.92 % SZS output start Refutation
% See solution above
% 1.72/1.92 ------------ end of proof -------------
% 1.72/1.92
% 1.72/1.92
% 1.72/1.92 Search stopped by max_proofs option.
% 1.72/1.92
% 1.72/1.92
% 1.72/1.92 Search stopped by max_proofs option.
% 1.72/1.92
% 1.72/1.92 ============ end of search ============
% 1.72/1.92
% 1.72/1.92 -------------- statistics -------------
% 1.72/1.92 clauses given 6
% 1.72/1.92 clauses generated 17
% 1.72/1.92 clauses kept 31
% 1.72/1.92 clauses forward subsumed 6
% 1.72/1.92 clauses back subsumed 15
% 1.72/1.92 Kbytes malloced 976
% 1.72/1.92
% 1.72/1.92 ----------- times (seconds) -----------
% 1.72/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.92 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.72/1.92
% 1.72/1.92 That finishes the proof of the theorem.
% 1.72/1.92
% 1.72/1.92 Process 10370 finished Wed Jul 27 01:47:22 2022
% 1.72/1.92 Otter interrupted
% 1.72/1.92 PROOF FOUND
%------------------------------------------------------------------------------