TSTP Solution File: SYN084-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:23:32 EDT 2022
% Result : Unsatisfiable 1.91s 2.09s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 8 unt; 10 nHn; 20 RR)
% Number of literals : 42 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( big_p(f(f(A)))
| big_p(A)
| ~ big_p(a) ),
file('SYN084-2.p',unknown),
[] ).
cnf(2,axiom,
( big_p(f(f(A)))
| ~ big_p(f(A))
| ~ big_p(a) ),
file('SYN084-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('SYN084-2.p',unknown),
[] ).
cnf(4,axiom,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('SYN084-2.p',unknown),
[] ).
cnf(5,axiom,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file('SYN084-2.p',unknown),
[] ).
cnf(6,axiom,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file('SYN084-2.p',unknown),
[] ).
cnf(7,axiom,
big_p(a),
file('SYN084-2.p',unknown),
[] ).
cnf(8,plain,
( big_p(f(f(A)))
| big_p(A) ),
inference(hyper,[status(thm)],[7,1]),
[iquote('hyper,7,1')] ).
cnf(12,plain,
( big_p(sk2)
| big_p(sk1) ),
inference(hyper,[status(thm)],[8,3,8]),
[iquote('hyper,8,3,8')] ).
cnf(23,plain,
( big_p(sk1)
| big_p(f(sk2)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[12,6,8])]),
[iquote('hyper,12,6,8,factor_simp')] ).
cnf(25,plain,
( big_p(sk2)
| big_p(f(sk1)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[12,5,8])]),
[iquote('hyper,12,5,8,factor_simp')] ).
cnf(28,plain,
( big_p(sk1)
| big_p(f(f(sk2))) ),
inference(hyper,[status(thm)],[23,2,7]),
[iquote('hyper,23,2,7')] ).
cnf(29,plain,
( big_p(f(sk1))
| big_p(f(sk2)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[25,4,23])])]),
[iquote('hyper,25,4,23,factor_simp,factor_simp')] ).
cnf(31,plain,
( big_p(sk2)
| big_p(f(f(sk1))) ),
inference(hyper,[status(thm)],[25,2,7]),
[iquote('hyper,25,2,7')] ).
cnf(36,plain,
big_p(sk1),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,3,8])]),
[iquote('hyper,28,3,8,factor_simp')] ).
cnf(39,plain,
( big_p(f(sk2))
| big_p(f(f(sk1))) ),
inference(hyper,[status(thm)],[29,2,7]),
[iquote('hyper,29,2,7')] ).
cnf(43,plain,
big_p(sk2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,3,8])]),
[iquote('hyper,31,3,8,factor_simp')] ).
cnf(56,plain,
big_p(f(sk2)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[39,6,43])]),
[iquote('hyper,39,6,43,factor_simp')] ).
cnf(59,plain,
big_p(f(f(sk2))),
inference(hyper,[status(thm)],[56,2,7]),
[iquote('hyper,56,2,7')] ).
cnf(60,plain,
big_p(f(sk1)),
inference(hyper,[status(thm)],[59,5,36]),
[iquote('hyper,59,5,36')] ).
cnf(71,plain,
big_p(f(f(sk1))),
inference(hyper,[status(thm)],[60,2,7]),
[iquote('hyper,60,2,7')] ).
cnf(72,plain,
$false,
inference(hyper,[status(thm)],[71,3,59]),
[iquote('hyper,71,3,59')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 11:38:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.09 ----- Otter 3.3f, August 2004 -----
% 1.91/2.09 The process was started by sandbox2 on n023.cluster.edu,
% 1.91/2.09 Wed Jul 27 11:38:03 2022
% 1.91/2.09 The command was "./otter". The process ID is 16905.
% 1.91/2.09
% 1.91/2.09 set(prolog_style_variables).
% 1.91/2.09 set(auto).
% 1.91/2.09 dependent: set(auto1).
% 1.91/2.09 dependent: set(process_input).
% 1.91/2.09 dependent: clear(print_kept).
% 1.91/2.09 dependent: clear(print_new_demod).
% 1.91/2.09 dependent: clear(print_back_demod).
% 1.91/2.09 dependent: clear(print_back_sub).
% 1.91/2.09 dependent: set(control_memory).
% 1.91/2.09 dependent: assign(max_mem, 12000).
% 1.91/2.09 dependent: assign(pick_given_ratio, 4).
% 1.91/2.09 dependent: assign(stats_level, 1).
% 1.91/2.09 dependent: assign(max_seconds, 10800).
% 1.91/2.09 clear(print_given).
% 1.91/2.09
% 1.91/2.09 list(usable).
% 1.91/2.09 0 [] big_p(a).
% 1.91/2.09 0 [] big_p(f(f(A)))|big_p(A)| -big_p(a).
% 1.91/2.09 0 [] big_p(f(f(A)))| -big_p(f(A))| -big_p(a).
% 1.91/2.09 0 [] -big_p(f(f(sk1)))| -big_p(f(f(sk2))).
% 1.91/2.09 0 [] big_p(f(sk1))|big_p(f(sk2))| -big_p(sk1)| -big_p(sk2).
% 1.91/2.09 0 [] big_p(f(sk1))| -big_p(sk1)| -big_p(f(f(sk2))).
% 1.91/2.09 0 [] big_p(f(sk2))| -big_p(sk2)| -big_p(f(f(sk1))).
% 1.91/2.09 end_of_list.
% 1.91/2.09
% 1.91/2.09 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.91/2.09
% 1.91/2.09 This is a non-Horn set without equality. The strategy will
% 1.91/2.09 be ordered hyper_res, unit deletion, and factoring, with
% 1.91/2.09 satellites in sos and with nuclei in usable.
% 1.91/2.09
% 1.91/2.09 dependent: set(hyper_res).
% 1.91/2.09 dependent: set(factor).
% 1.91/2.09 dependent: set(unit_deletion).
% 1.91/2.09
% 1.91/2.09 ------------> process usable:
% 1.91/2.09 ** KEPT (pick-wt=8): 1 [] big_p(f(f(A)))|big_p(A)| -big_p(a).
% 1.91/2.09 ** KEPT (pick-wt=9): 2 [] big_p(f(f(A)))| -big_p(f(A))| -big_p(a).
% 1.91/2.09 ** KEPT (pick-wt=8): 3 [] -big_p(f(f(sk1)))| -big_p(f(f(sk2))).
% 1.91/2.09 ** KEPT (pick-wt=10): 4 [] big_p(f(sk1))|big_p(f(sk2))| -big_p(sk1)| -big_p(sk2).
% 1.91/2.09 ** KEPT (pick-wt=9): 5 [] big_p(f(sk1))| -big_p(sk1)| -big_p(f(f(sk2))).
% 1.91/2.09 ** KEPT (pick-wt=9): 6 [] big_p(f(sk2))| -big_p(sk2)| -big_p(f(f(sk1))).
% 1.91/2.09
% 1.91/2.09 ------------> process sos:
% 1.91/2.09 ** KEPT (pick-wt=2): 7 [] big_p(a).
% 1.91/2.09
% 1.91/2.09 ======= end of input processing =======
% 1.91/2.09
% 1.91/2.09 =========== start of search ===========
% 1.91/2.09
% 1.91/2.09 -------- PROOF --------
% 1.91/2.09
% 1.91/2.09 -----> EMPTY CLAUSE at 0.00 sec ----> 72 [hyper,71,3,59] $F.
% 1.91/2.09
% 1.91/2.09 Length of proof is 14. Level of proof is 9.
% 1.91/2.09
% 1.91/2.09 ---------------- PROOF ----------------
% 1.91/2.09 % SZS status Unsatisfiable
% 1.91/2.09 % SZS output start Refutation
% See solution above
% 1.91/2.09 ------------ end of proof -------------
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09 ============ end of search ============
% 1.91/2.09
% 1.91/2.09 -------------- statistics -------------
% 1.91/2.09 clauses given 18
% 1.91/2.09 clauses generated 156
% 1.91/2.09 clauses kept 71
% 1.91/2.09 clauses forward subsumed 91
% 1.91/2.09 clauses back subsumed 60
% 1.91/2.09 Kbytes malloced 976
% 1.91/2.09
% 1.91/2.09 ----------- times (seconds) -----------
% 1.91/2.09 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.09 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.91/2.09
% 1.91/2.09 That finishes the proof of the theorem.
% 1.91/2.09
% 1.91/2.09 Process 16905 finished Wed Jul 27 11:38:05 2022
% 1.91/2.09 Otter interrupted
% 1.91/2.09 PROOF FOUND
%------------------------------------------------------------------------------