%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:23:34 EDT 2022
% Result : Unsatisfiable 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_1_3(A),
file('SYN099-1.003.p',unknown),
[] ).
cnf(6,axiom,
( p_1_3(A)
| ~ q_2_3(A)
| ~ q_1_2(A) ),
file('SYN099-1.003.p',unknown),
[] ).
cnf(7,plain,
( ~ q_2_3(A)
| ~ q_1_2(A) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[6]),1]),
[iquote('copy,6,unit_del,1')] ).
cnf(10,axiom,
( q_1_2(A)
| ~ p_2_2(A)
| ~ q_1_1(A) ),
file('SYN099-1.003.p',unknown),
[] ).
cnf(14,axiom,
( q_2_3(A)
| ~ p_3_3(A)
| ~ q_2_2(A) ),
file('SYN099-1.003.p',unknown),
[] ).
cnf(47,axiom,
q_1_1(a),
file('SYN099-1.003.p',unknown),
[] ).
cnf(48,axiom,
p_2_2(a),
file('SYN099-1.003.p',unknown),
[] ).
cnf(49,axiom,
q_2_2(a),
file('SYN099-1.003.p',unknown),
[] ).
cnf(50,axiom,
p_3_3(a),
file('SYN099-1.003.p',unknown),
[] ).
cnf(53,plain,
q_1_2(a),
inference(hyper,[status(thm)],[48,10,47]),
[iquote('hyper,48,10,47')] ).
cnf(55,plain,
q_2_3(a),
inference(hyper,[status(thm)],[50,14,49]),
[iquote('hyper,50,14,49')] ).
cnf(60,plain,
$false,
inference(hyper,[status(thm)],[55,7,53]),
[iquote('hyper,55,7,53')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 10:57:16 EDT 2022
% 0.19/0.33 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox on n007.cluster.edu,
% 1.70/1.91 Wed Jul 27 10:57:16 2022
% 1.70/1.91 The command was "./otter". The process ID is 10833.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] -p_1_3(X).
% 1.70/1.91 0 [] p_1_2(X)| -p_2_2(X)| -p_1_1(X).
% 1.70/1.91 0 [] p_1_2(X)| -q_2_2(X)| -q_1_1(X).
% 1.70/1.91 0 [] p_1_3(X)| -p_2_3(X)| -p_1_2(X).
% 1.70/1.91 0 [] p_1_3(X)| -q_2_3(X)| -q_1_2(X).
% 1.70/1.91 0 [] p_2_3(X)| -p_3_3(X)| -p_2_2(X).
% 1.70/1.91 0 [] p_2_3(X)| -q_3_3(X)| -q_2_2(X).
% 1.70/1.91 0 [] q_1_2(X)| -p_2_2(X)| -q_1_1(X).
% 1.70/1.91 0 [] q_1_2(X)| -q_2_2(X)| -p_1_1(X).
% 1.70/1.91 0 [] q_1_3(X)| -p_2_3(X)| -q_1_2(X).
% 1.70/1.91 0 [] q_1_3(X)| -q_2_3(X)| -p_1_2(X).
% 1.70/1.91 0 [] q_2_3(X)| -p_3_3(X)| -q_2_2(X).
% 1.70/1.91 0 [] q_2_3(X)| -q_3_3(X)| -p_2_2(X).
% 1.70/1.91 0 [] p_1_1(X)| -p_1_2(X).
% 1.70/1.91 0 [] q_1_1(X)| -q_1_2(X).
% 1.70/1.91 0 [] p_2_2(X)| -p_1_2(X).
% 1.70/1.91 0 [] p_3_3(X)| -p_2_3(X).
% 1.70/1.91 0 [] q_2_2(X)| -q_1_2(X).
% 1.70/1.91 0 [] q_3_3(X)| -q_2_3(X).
% 1.70/1.91 0 [] p_1_1(a).
% 1.70/1.91 0 [] q_1_1(a).
% 1.70/1.91 0 [] p_2_2(a).
% 1.70/1.91 0 [] q_2_2(a).
% 1.70/1.91 0 [] p_3_3(a).
% 1.70/1.91 0 [] q_3_3(a).
% 1.70/1.91 0 [] sym_p_1_3(X).
% 1.70/1.91 0 [] -sym_p_1_2(X)|sym_p_2_2(X)|sym_p_1_1(X).
% 1.70/1.91 0 [] -sym_p_1_2(X)|sym_q_2_2(X)|sym_q_1_1(X).
% 1.70/1.91 0 [] -sym_p_1_3(X)|sym_p_2_3(X)|sym_p_1_2(X).
% 1.70/1.91 0 [] -sym_p_1_3(X)|sym_q_2_3(X)|sym_q_1_2(X).
% 1.70/1.91 0 [] -sym_p_2_3(X)|sym_p_3_3(X)|sym_p_2_2(X).
% 1.70/1.91 0 [] -sym_p_2_3(X)|sym_q_3_3(X)|sym_q_2_2(X).
% 1.70/1.91 0 [] -sym_q_1_2(X)|sym_p_2_2(X)|sym_q_1_1(X).
% 1.70/1.91 0 [] -sym_q_1_2(X)|sym_q_2_2(X)|sym_p_1_1(X).
% 1.70/1.91 0 [] -sym_q_1_3(X)|sym_p_2_3(X)|sym_q_1_2(X).
% 1.70/1.91 0 [] -sym_q_1_3(X)|sym_q_2_3(X)|sym_p_1_2(X).
% 1.70/1.91 0 [] -sym_q_2_3(X)|sym_p_3_3(X)|sym_q_2_2(X).
% 1.70/1.91 0 [] -sym_q_2_3(X)|sym_q_3_3(X)|sym_p_2_2(X).
% 1.70/1.91 0 [] -sym_p_1_1(X)|sym_p_1_2(X).
% 1.70/1.91 0 [] -sym_q_1_1(X)|sym_q_1_2(X).
% 1.70/1.91 0 [] -sym_p_2_2(X)|sym_p_1_2(X).
% 1.70/1.91 0 [] -sym_p_3_3(X)|sym_p_2_3(X).
% 1.70/1.91 0 [] -sym_q_2_2(X)|sym_q_1_2(X).
% 1.70/1.91 0 [] -sym_q_3_3(X)|sym_q_2_3(X).
% 1.70/1.91 0 [] -sym_p_1_1(a).
% 1.70/1.91 0 [] -sym_q_1_1(a).
% 1.70/1.91 0 [] -sym_p_2_2(a).
% 1.70/1.91 0 [] -sym_q_2_2(a).
% 1.70/1.91 0 [] -sym_p_3_3(a).
% 1.70/1.91 0 [] -sym_q_3_3(a).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.70/1.91
% 1.70/1.91 This is a non-Horn set without equality. The strategy will
% 1.70/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91 satellites in sos and with nuclei in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: set(factor).
% 1.70/1.91 dependent: set(unit_deletion).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=2): 1 [] -p_1_3(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 2 [] p_1_2(A)| -p_2_2(A)| -p_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 3 [] p_1_2(A)| -q_2_2(A)| -q_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 5 [copy,4,unit_del,1] -p_2_3(A)| -p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 7 [copy,6,unit_del,1] -q_2_3(A)| -q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 8 [] p_2_3(A)| -p_3_3(A)| -p_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 9 [] p_2_3(A)| -q_3_3(A)| -q_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 10 [] q_1_2(A)| -p_2_2(A)| -q_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 11 [] q_1_2(A)| -q_2_2(A)| -p_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 12 [] q_1_3(A)| -p_2_3(A)| -q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 13 [] q_1_3(A)| -q_2_3(A)| -p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 14 [] q_2_3(A)| -p_3_3(A)| -q_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 15 [] q_2_3(A)| -q_3_3(A)| -p_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 16 [] p_1_1(A)| -p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 17 [] q_1_1(A)| -q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 18 [] p_2_2(A)| -p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 19 [] p_3_3(A)| -p_2_3(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 20 [] q_2_2(A)| -q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 21 [] q_3_3(A)| -q_2_3(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 22 [] -sym_p_1_2(A)|sym_p_2_2(A)|sym_p_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 23 [] -sym_p_1_2(A)|sym_q_2_2(A)|sym_q_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 24 [] -sym_p_1_3(A)|sym_p_2_3(A)|sym_p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 25 [] -sym_p_1_3(A)|sym_q_2_3(A)|sym_q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 26 [] -sym_p_2_3(A)|sym_p_3_3(A)|sym_p_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 27 [] -sym_p_2_3(A)|sym_q_3_3(A)|sym_q_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 28 [] -sym_q_1_2(A)|sym_p_2_2(A)|sym_q_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 29 [] -sym_q_1_2(A)|sym_q_2_2(A)|sym_p_1_1(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 30 [] -sym_q_1_3(A)|sym_p_2_3(A)|sym_q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 31 [] -sym_q_1_3(A)|sym_q_2_3(A)|sym_p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 32 [] -sym_q_2_3(A)|sym_p_3_3(A)|sym_q_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 33 [] -sym_q_2_3(A)|sym_q_3_3(A)|sym_p_2_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 34 [] -sym_p_1_1(A)|sym_p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 35 [] -sym_q_1_1(A)|sym_q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 36 [] -sym_p_2_2(A)|sym_p_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 37 [] -sym_p_3_3(A)|sym_p_2_3(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 38 [] -sym_q_2_2(A)|sym_q_1_2(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 39 [] -sym_q_3_3(A)|sym_q_2_3(A).
% 1.70/1.91 ** KEPT (pick-wt=2): 40 [] -sym_p_1_1(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 41 [] -sym_q_1_1(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 42 [] -sym_p_2_2(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 43 [] -sym_q_2_2(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 44 [] -sym_p_3_3(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 45 [] -sym_q_3_3(a).
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=2): 46 [] p_1_1(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 47 [] q_1_1(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 48 [] p_2_2(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 49 [] q_2_2(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 50 [] p_3_3(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 51 [] q_3_3(a).
% 1.70/1.91 ** KEPT (pick-wt=2): 52 [] sym_p_1_3(A).
% 1.70/1.91
% 1.70/1.91 ======= end of input processing =======
% 1.70/1.91
% 1.70/1.91 =========== start of search ===========
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91
% 1.70/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 60 [hyper,55,7,53] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 3. Level of proof is 1.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Unsatisfiable
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 10
% 1.70/1.91 clauses generated 17
% 1.70/1.91 clauses kept 57
% 1.70/1.91 clauses forward subsumed 9
% 1.70/1.91 clauses back subsumed 2
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 10833 finished Wed Jul 27 10:57:17 2022
% 1.70/1.91 Otter interrupted
% 1.70/1.91 PROOF FOUND
%------------------------------------------------------------------------------