TSTP Solution File: PUZ002-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 1.98s 2.14s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 4 unt; 9 nHn; 13 RR)
% Number of literals : 40 ( 0 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ in_house(A)
| cat(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ gazer(A)
| suitable_pet(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ detested(A)
| avoided(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ carnivore(A)
| prowler(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cat(A)
| mouse_killer(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ takes_to_me(A)
| in_house(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ kangaroo(A)
| ~ suitable_pet(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ mouse_killer(A)
| carnivore(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ prowler(A)
| gazer(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(10,axiom,
~ avoided(the_kangaroo),
file('PUZ002-1.p',unknown),
[] ).
cnf(11,axiom,
( takes_to_me(A)
| detested(A) ),
file('PUZ002-1.p',unknown),
[] ).
cnf(12,axiom,
kangaroo(the_kangaroo),
file('PUZ002-1.p',unknown),
[] ).
cnf(13,plain,
( detested(A)
| in_house(A) ),
inference(hyper,[status(thm)],[11,6]),
[iquote('hyper,11,6')] ).
cnf(14,plain,
( detested(A)
| cat(A) ),
inference(hyper,[status(thm)],[13,1]),
[iquote('hyper,13,1')] ).
cnf(15,plain,
( cat(A)
| avoided(A) ),
inference(hyper,[status(thm)],[14,3]),
[iquote('hyper,14,3')] ).
cnf(16,plain,
( avoided(A)
| mouse_killer(A) ),
inference(hyper,[status(thm)],[15,5]),
[iquote('hyper,15,5')] ).
cnf(17,plain,
( avoided(A)
| carnivore(A) ),
inference(hyper,[status(thm)],[16,8]),
[iquote('hyper,16,8')] ).
cnf(18,plain,
( avoided(A)
| prowler(A) ),
inference(hyper,[status(thm)],[17,4]),
[iquote('hyper,17,4')] ).
cnf(19,plain,
( avoided(A)
| gazer(A) ),
inference(hyper,[status(thm)],[18,9]),
[iquote('hyper,18,9')] ).
cnf(20,plain,
( avoided(A)
| suitable_pet(A) ),
inference(hyper,[status(thm)],[19,2]),
[iquote('hyper,19,2')] ).
cnf(21,plain,
avoided(the_kangaroo),
inference(hyper,[status(thm)],[20,7,12]),
[iquote('hyper,20,7,12')] ).
cnf(22,plain,
$false,
inference(binary,[status(thm)],[21,10]),
[iquote('binary,21.1,10.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 02:01:09 EDT 2022
% 0.21/0.35 % CPUTime :
% 1.98/2.14 ----- Otter 3.3f, August 2004 -----
% 1.98/2.14 The process was started by sandbox on n026.cluster.edu,
% 1.98/2.14 Wed Jul 27 02:01:09 2022
% 1.98/2.14 The command was "./otter". The process ID is 21437.
% 1.98/2.14
% 1.98/2.14 set(prolog_style_variables).
% 1.98/2.14 set(auto).
% 1.98/2.14 dependent: set(auto1).
% 1.98/2.14 dependent: set(process_input).
% 1.98/2.14 dependent: clear(print_kept).
% 1.98/2.14 dependent: clear(print_new_demod).
% 1.98/2.14 dependent: clear(print_back_demod).
% 1.98/2.14 dependent: clear(print_back_sub).
% 1.98/2.14 dependent: set(control_memory).
% 1.98/2.14 dependent: assign(max_mem, 12000).
% 1.98/2.14 dependent: assign(pick_given_ratio, 4).
% 1.98/2.14 dependent: assign(stats_level, 1).
% 1.98/2.14 dependent: assign(max_seconds, 10800).
% 1.98/2.14 clear(print_given).
% 1.98/2.14
% 1.98/2.14 list(usable).
% 1.98/2.14 0 [] -in_house(Cat)|cat(Cat).
% 1.98/2.14 0 [] -gazer(Gazer)|suitable_pet(Gazer).
% 1.98/2.14 0 [] -detested(Detested)|avoided(Detested).
% 1.98/2.14 0 [] -carnivore(Carnivore)|prowler(Carnivore).
% 1.98/2.14 0 [] -cat(Cat)|mouse_killer(Cat).
% 1.98/2.14 0 [] -takes_to_me(Taken_animal)|in_house(Taken_animal).
% 1.98/2.14 0 [] -kangaroo(Kangaroo)| -suitable_pet(Kangaroo).
% 1.98/2.14 0 [] -mouse_killer(Killer)|carnivore(Killer).
% 1.98/2.14 0 [] takes_to_me(Animal)|detested(Animal).
% 1.98/2.14 0 [] -prowler(Prowler)|gazer(Prowler).
% 1.98/2.14 0 [] kangaroo(the_kangaroo).
% 1.98/2.14 0 [] -avoided(the_kangaroo).
% 1.98/2.14 end_of_list.
% 1.98/2.14
% 1.98/2.14 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.98/2.14
% 1.98/2.14 This is a non-Horn set without equality. The strategy will
% 1.98/2.14 be ordered hyper_res, unit deletion, and factoring, with
% 1.98/2.14 satellites in sos and with nuclei in usable.
% 1.98/2.14
% 1.98/2.14 dependent: set(hyper_res).
% 1.98/2.14 dependent: set(factor).
% 1.98/2.14 dependent: set(unit_deletion).
% 1.98/2.14
% 1.98/2.14 ------------> process usable:
% 1.98/2.14 ** KEPT (pick-wt=4): 1 [] -in_house(A)|cat(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 2 [] -gazer(A)|suitable_pet(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 3 [] -detested(A)|avoided(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 4 [] -carnivore(A)|prowler(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 5 [] -cat(A)|mouse_killer(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 6 [] -takes_to_me(A)|in_house(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 7 [] -kangaroo(A)| -suitable_pet(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 8 [] -mouse_killer(A)|carnivore(A).
% 1.98/2.14 ** KEPT (pick-wt=4): 9 [] -prowler(A)|gazer(A).
% 1.98/2.14 ** KEPT (pick-wt=2): 10 [] -avoided(the_kangaroo).
% 1.98/2.14
% 1.98/2.14 ------------> process sos:
% 1.98/2.14 ** KEPT (pick-wt=4): 11 [] takes_to_me(A)|detested(A).
% 1.98/2.14 ** KEPT (pick-wt=2): 12 [] kangaroo(the_kangaroo).
% 1.98/2.14
% 1.98/2.14 ======= end of input processing =======
% 1.98/2.14
% 1.98/2.14 =========== start of search ===========
% 1.98/2.14
% 1.98/2.14 -------- PROOF --------
% 1.98/2.14
% 1.98/2.14 ----> UNIT CONFLICT at 0.00 sec ----> 22 [binary,21.1,10.1] $F.
% 1.98/2.14
% 1.98/2.14 Length of proof is 9. Level of proof is 9.
% 1.98/2.14
% 1.98/2.14 ---------------- PROOF ----------------
% 1.98/2.14 % SZS status Unsatisfiable
% 1.98/2.14 % SZS output start Refutation
% See solution above
% 1.98/2.14 ------------ end of proof -------------
% 1.98/2.14
% 1.98/2.14
% 1.98/2.14 Search stopped by max_proofs option.
% 1.98/2.14
% 1.98/2.14
% 1.98/2.14 Search stopped by max_proofs option.
% 1.98/2.14
% 1.98/2.14 ============ end of search ============
% 1.98/2.14
% 1.98/2.14 -------------- statistics -------------
% 1.98/2.14 clauses given 10
% 1.98/2.14 clauses generated 9
% 1.98/2.14 clauses kept 21
% 1.98/2.14 clauses forward subsumed 0
% 1.98/2.14 clauses back subsumed 0
% 1.98/2.14 Kbytes malloced 976
% 1.98/2.14
% 1.98/2.14 ----------- times (seconds) -----------
% 1.98/2.14 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.14 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.98/2.14
% 1.98/2.14 That finishes the proof of the theorem.
% 1.98/2.14
% 1.98/2.14 Process 21437 finished Wed Jul 27 02:01:10 2022
% 1.98/2.14 Otter interrupted
% 1.98/2.14 PROOF FOUND
%------------------------------------------------------------------------------