TSTP Solution File: PUZ025-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 1.74s 1.91s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 6 unt; 4 nHn; 11 RR)
% Number of literals : 26 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| ~ a_truth(B)
| answer(yes) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| a_truth(B)
| answer(no) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| ~ a_truth(B)
| answer(no) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| a_truth(B)
| answer(yes) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(17,axiom,
~ answer(A),
file('PUZ025-1.p',unknown),
[] ).
cnf(24,axiom,
( a_truth(truthteller(A))
| a_truth(liar(A)) ),
file('PUZ025-1.p',unknown),
[] ).
cnf(30,axiom,
ask_1_if_2(c,e_qual_type(a,b)),
file('PUZ025-1.p',unknown),
[] ).
cnf(36,plain,
( a_truth(e_qual_type(a,b))
| a_truth(truthteller(c)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,16,24]),17]),
[iquote('hyper,30,16,24,unit_del,17')] ).
cnf(125,plain,
a_truth(truthteller(c)),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[36,15,30,24]),17])]),
[iquote('hyper,36,15,30,24,unit_del,17,factor_simp')] ).
cnf(126,plain,
a_truth(e_qual_type(a,b)),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[36,14,30]),17])]),
[iquote('hyper,36,14,30,unit_del,17,factor_simp')] ).
cnf(132,plain,
answer(yes),
inference(hyper,[status(thm)],[126,13,30,125]),
[iquote('hyper,126,13,30,125')] ).
cnf(133,plain,
$false,
inference(binary,[status(thm)],[132,17]),
[iquote('binary,132.1,17.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n024.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 01:50:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/1.91 ----- Otter 3.3f, August 2004 -----
% 1.74/1.91 The process was started by sandbox2 on n024.cluster.edu,
% 1.74/1.91 Wed Jul 27 01:50:25 2022
% 1.74/1.91 The command was "./otter". The process ID is 23387.
% 1.74/1.91
% 1.74/1.91 set(prolog_style_variables).
% 1.74/1.91 set(auto).
% 1.74/1.91 dependent: set(auto1).
% 1.74/1.91 dependent: set(process_input).
% 1.74/1.91 dependent: clear(print_kept).
% 1.74/1.91 dependent: clear(print_new_demod).
% 1.74/1.91 dependent: clear(print_back_demod).
% 1.74/1.91 dependent: clear(print_back_sub).
% 1.74/1.91 dependent: set(control_memory).
% 1.74/1.91 dependent: assign(max_mem, 12000).
% 1.74/1.91 dependent: assign(pick_given_ratio, 4).
% 1.74/1.91 dependent: assign(stats_level, 1).
% 1.74/1.91 dependent: assign(max_seconds, 10800).
% 1.74/1.91 clear(print_given).
% 1.74/1.91
% 1.74/1.91 list(usable).
% 1.74/1.91 0 [] a_truth(truthteller(X))|a_truth(liar(X)).
% 1.74/1.91 0 [] -a_truth(truthteller(X))| -a_truth(liar(X)).
% 1.74/1.91 0 [] -a_truth(truthteller(Truthteller))| -a_truth(says(Truthteller,Statement))|a_truth(Statement).
% 1.74/1.91 0 [] -a_truth(liar(Liar))| -a_truth(says(Liar,Statement))| -a_truth(Statement).
% 1.74/1.91 0 [] -a_truth(Statement)| -a_truth(says(Truthteller,Statement))|a_truth(truthteller(Truthteller)).
% 1.74/1.91 0 [] a_truth(Statement)| -a_truth(says(Liar,Statement))|a_truth(liar(Liar)).
% 1.74/1.91 0 [] -people(X,Y,Z)| -a_truth(liar(X))| -a_truth(liar(Y))|a_truth(e_qual_type(X,Y)).
% 1.74/1.91 0 [] -people(X,Y,Z)| -a_truth(truthteller(X))| -a_truth(truthteller(Y))|a_truth(e_qual_type(X,Y)).
% 1.74/1.91 0 [] -a_truth(e_qual_type(X,Y))| -a_truth(truthteller(X))|a_truth(truthteller(Y)).
% 1.74/1.91 0 [] -a_truth(e_qual_type(X,Y))| -a_truth(liar(X))|a_truth(liar(Y)).
% 1.74/1.91 0 [] -a_truth(truthteller(X))|a_truth(e_qual_type(X,Y))|a_truth(liar(Y)).
% 1.74/1.91 0 [] -a_truth(liar(X))|a_truth(e_qual_type(X,Y))|a_truth(truthteller(Y)).
% 1.74/1.91 0 [] -a_truth(e_qual_type(X,Y))|a_truth(e_qual_type(Y,X)).
% 1.74/1.91 0 [] -ask_1_if_2(X,Y)| -a_truth(truthteller(X))| -a_truth(Y)|answer(yes).
% 1.74/1.91 0 [] -ask_1_if_2(X,Y)| -a_truth(truthteller(X))|a_truth(Y)|answer(no).
% 1.74/1.91 0 [] -ask_1_if_2(X,Y)| -a_truth(liar(X))| -a_truth(Y)|answer(no).
% 1.74/1.91 0 [] -ask_1_if_2(X,Y)| -a_truth(liar(X))|a_truth(Y)|answer(yes).
% 1.74/1.91 0 [] people(b,c,a).
% 1.74/1.91 0 [] people(a,b,a).
% 1.74/1.91 0 [] people(a,c,b).
% 1.74/1.91 0 [] people(c,b,a).
% 1.74/1.91 0 [] a_truth(says(a,e_qual_type(b,c))).
% 1.74/1.91 0 [] ask_1_if_2(c,e_qual_type(a,b)).
% 1.74/1.91 0 [] -answer(Answer).
% 1.74/1.91 end_of_list.
% 1.74/1.91
% 1.74/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.74/1.91
% 1.74/1.91 This is a non-Horn set without equality. The strategy will
% 1.74/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.91 satellites in sos and with nuclei in usable.
% 1.74/1.91
% 1.74/1.91 dependent: set(hyper_res).
% 1.74/1.91 dependent: set(factor).
% 1.74/1.91 dependent: set(unit_deletion).
% 1.74/1.91
% 1.74/1.91 ------------> process usable:
% 1.74/1.91 ** KEPT (pick-wt=6): 1 [] -a_truth(truthteller(A))| -a_truth(liar(A)).
% 1.74/1.91 ** KEPT (pick-wt=9): 2 [] -a_truth(truthteller(A))| -a_truth(says(A,B))|a_truth(B).
% 1.74/1.91 ** KEPT (pick-wt=9): 3 [] -a_truth(liar(A))| -a_truth(says(A,B))| -a_truth(B).
% 1.74/1.91 ** KEPT (pick-wt=9): 4 [] -a_truth(A)| -a_truth(says(B,A))|a_truth(truthteller(B)).
% 1.74/1.91 ** KEPT (pick-wt=9): 5 [] a_truth(A)| -a_truth(says(B,A))|a_truth(liar(B)).
% 1.74/1.91 ** KEPT (pick-wt=14): 6 [] -people(A,B,C)| -a_truth(liar(A))| -a_truth(liar(B))|a_truth(e_qual_type(A,B)).
% 1.74/1.91 ** KEPT (pick-wt=14): 7 [] -people(A,B,C)| -a_truth(truthteller(A))| -a_truth(truthteller(B))|a_truth(e_qual_type(A,B)).
% 1.74/1.91 ** KEPT (pick-wt=10): 8 [] -a_truth(e_qual_type(A,B))| -a_truth(truthteller(A))|a_truth(truthteller(B)).
% 1.74/1.91 ** KEPT (pick-wt=10): 9 [] -a_truth(e_qual_type(A,B))| -a_truth(liar(A))|a_truth(liar(B)).
% 1.74/1.91 ** KEPT (pick-wt=10): 10 [] -a_truth(truthteller(A))|a_truth(e_qual_type(A,B))|a_truth(liar(B)).
% 1.74/1.91 ** KEPT (pick-wt=10): 11 [] -a_truth(liar(A))|a_truth(e_qual_type(A,B))|a_truth(truthteller(B)).
% 1.74/1.91 ** KEPT (pick-wt=8): 12 [] -a_truth(e_qual_type(A,B))|a_truth(e_qual_type(B,A)).
% 1.74/1.91 ** KEPT (pick-wt=10): 13 [] -ask_1_if_2(A,B)| -a_truth(truthteller(A))| -a_truth(B)|answer(yes).
% 1.74/1.91 ** KEPT (pick-wt=10): 14 [] -ask_1_if_2(A,B)| -a_truth(truthteller(A))|a_truth(B)|answer(no).
% 1.74/1.91 ** KEPT (pick-wt=10): 15 [] -ask_1_if_2(A,B)| -a_truth(liar(A))| -a_truth(B)|answer(no).
% 1.74/1.91 ** KEPT (pick-wt=10): 16 [] -ask_1_if_2(A,B)| -a_truth(liar(A))|a_truth(B)|answer(yes).
% 1.74/1.91 ** KEPT (pick-wt=2): 17 [] -answer(A).
% 1.74/1.91
% 1.74/1.91 ------------> process sos:
% 1.74/1.91 ** KEPT (pick-wt=6): 24 [] a_truth(truthteller(A))|a_truth(liar(A)).
% 1.74/1.91 ** KEPT (pick-wt=4): 25 [] people(b,c,a).
% 1.74/1.91 ** KEPT (pick-wt=4): 26 [] people(a,b,a).
% 1.74/1.91 ** KEPT (pick-wt=4): 27 [] people(a,c,b).
% 1.74/1.91 ** KEPT (pick-wt=4): 28 [] people(c,b,a).
% 1.74/1.91 ** KEPT (pick-wt=6): 29 [] a_truth(says(a,e_qual_type(b,c))).
% 1.74/1.91 ** KEPT (pick-wt=5): 30 [] ask_1_if_2(c,e_qual_type(a,b)).
% 1.74/1.91
% 1.74/1.91 ======= end of input processing =======
% 1.74/1.91
% 1.74/1.91 =========== start of search ===========
% 1.74/1.91
% 1.74/1.91 -------- PROOF --------
% 1.74/1.91
% 1.74/1.91 ----> UNIT CONFLICT at 0.01 sec ----> 133 [binary,132.1,17.1] $F.
% 1.74/1.91
% 1.74/1.91 Length of proof is 4. Level of proof is 3.
% 1.74/1.91
% 1.74/1.91 ---------------- PROOF ----------------
% 1.74/1.91 % SZS status Unsatisfiable
% 1.74/1.91 % SZS output start Refutation
% See solution above
% 1.74/1.91 ------------ end of proof -------------
% 1.74/1.91
% 1.74/1.91
% 1.74/1.91 Search stopped by max_proofs option.
% 1.74/1.91
% 1.74/1.91
% 1.74/1.91 Search stopped by max_proofs option.
% 1.74/1.91
% 1.74/1.91 ============ end of search ============
% 1.74/1.91
% 1.74/1.91 -------------- statistics -------------
% 1.74/1.91 clauses given 15
% 1.74/1.91 clauses generated 294
% 1.74/1.91 clauses kept 132
% 1.74/1.91 clauses forward subsumed 186
% 1.74/1.91 clauses back subsumed 80
% 1.74/1.91 Kbytes malloced 976
% 1.74/1.91
% 1.74/1.91 ----------- times (seconds) -----------
% 1.74/1.91 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.74/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.74/1.91
% 1.74/1.91 That finishes the proof of the theorem.
% 1.74/1.91
% 1.74/1.91 Process 23387 finished Wed Jul 27 01:50:27 2022
% 1.74/1.91 Otter interrupted
% 1.74/1.91 PROOF FOUND
%------------------------------------------------------------------------------