TSTP Solution File: SYN002-1.007.008 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:23:17 EDT 2022
% Result : Unsatisfiable 1.60s 1.83s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of clauses : 9 ( 2 unt; 6 nHn; 2 RR)
% Number of literals : 16 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(A)
| ~ p(f(f(f(f(f(f(f(f(A))))))))) ),
file('SYN002-1.007.008.p',unknown),
[] ).
cnf(2,axiom,
( p(A)
| p(f(f(f(f(f(f(f(A)))))))) ),
file('SYN002-1.007.008.p',unknown),
[] ).
cnf(5,plain,
( p(f(f(f(f(f(f(f(A))))))))
| p(f(A)) ),
inference(hyper,[status(thm)],[2,1,2]),
[iquote('hyper,2,1,2')] ).
cnf(8,plain,
( p(f(f(f(f(f(f(f(f(f(A))))))))))
| p(A) ),
inference(hyper,[status(thm)],[5,1,2]),
[iquote('hyper,5,1,2')] ).
cnf(17,plain,
( p(f(f(f(f(f(f(A)))))))
| p(A) ),
inference(hyper,[status(thm)],[8,1,2]),
[iquote('hyper,8,1,2')] ).
cnf(23,plain,
( p(A)
| p(f(f(f(f(f(A)))))) ),
inference(hyper,[status(thm)],[17,1,8]),
[iquote('hyper,17,1,8')] ).
cnf(37,plain,
( p(A)
| p(f(f(f(f(A))))) ),
inference(hyper,[status(thm)],[23,1,8]),
[iquote('hyper,23,1,8')] ).
cnf(41,plain,
p(f(f(f(f(A))))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[37,1,37])]),
[iquote('hyper,37,1,37,factor_simp')] ).
cnf(43,plain,
$false,
inference(hyper,[status(thm)],[41,1,41]),
[iquote('hyper,41,1,41')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 11:06:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.83 ----- Otter 3.3f, August 2004 -----
% 1.60/1.83 The process was started by sandbox2 on n010.cluster.edu,
% 1.60/1.83 Wed Jul 27 11:06:54 2022
% 1.60/1.83 The command was "./otter". The process ID is 24495.
% 1.60/1.83
% 1.60/1.83 set(prolog_style_variables).
% 1.60/1.83 set(auto).
% 1.60/1.83 dependent: set(auto1).
% 1.60/1.83 dependent: set(process_input).
% 1.60/1.83 dependent: clear(print_kept).
% 1.60/1.83 dependent: clear(print_new_demod).
% 1.60/1.83 dependent: clear(print_back_demod).
% 1.60/1.83 dependent: clear(print_back_sub).
% 1.60/1.83 dependent: set(control_memory).
% 1.60/1.83 dependent: assign(max_mem, 12000).
% 1.60/1.83 dependent: assign(pick_given_ratio, 4).
% 1.60/1.83 dependent: assign(stats_level, 1).
% 1.60/1.83 dependent: assign(max_seconds, 10800).
% 1.60/1.83 clear(print_given).
% 1.60/1.83
% 1.60/1.83 list(usable).
% 1.60/1.83 0 [] p(X)|p(f(f(f(f(f(f(f(X)))))))).
% 1.60/1.83 0 [] -p(X)| -p(f(f(f(f(f(f(f(f(X))))))))).
% 1.60/1.83 end_of_list.
% 1.60/1.83
% 1.60/1.83 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.60/1.83
% 1.60/1.83 This is a non-Horn set without equality. The strategy will
% 1.60/1.83 be ordered hyper_res, unit deletion, and factoring, with
% 1.60/1.83 satellites in sos and with nuclei in usable.
% 1.60/1.83
% 1.60/1.83 dependent: set(hyper_res).
% 1.60/1.83 dependent: set(factor).
% 1.60/1.83 dependent: set(unit_deletion).
% 1.60/1.83
% 1.60/1.83 ------------> process usable:
% 1.60/1.83 ** KEPT (pick-wt=12): 1 [] -p(A)| -p(f(f(f(f(f(f(f(f(A))))))))).
% 1.60/1.83
% 1.60/1.83 ------------> process sos:
% 1.60/1.83 ** KEPT (pick-wt=11): 2 [] p(A)|p(f(f(f(f(f(f(f(A)))))))).
% 1.60/1.83
% 1.60/1.83 ======= end of input processing =======
% 1.60/1.83
% 1.60/1.83 =========== start of search ===========
% 1.60/1.83
% 1.60/1.83 -------- PROOF --------
% 1.60/1.83
% 1.60/1.83 -----> EMPTY CLAUSE at 0.01 sec ----> 43 [hyper,41,1,41] $F.
% 1.60/1.83
% 1.60/1.83 Length of proof is 6. Level of proof is 6.
% 1.60/1.83
% 1.60/1.83 ---------------- PROOF ----------------
% 1.60/1.83 % SZS status Unsatisfiable
% 1.60/1.83 % SZS output start Refutation
% See solution above
% 1.60/1.83 ------------ end of proof -------------
% 1.60/1.83
% 1.60/1.83
% 1.60/1.83 Search stopped by max_proofs option.
% 1.60/1.83
% 1.60/1.83
% 1.60/1.83 Search stopped by max_proofs option.
% 1.60/1.83
% 1.60/1.83 ============ end of search ============
% 1.60/1.83
% 1.60/1.83 -------------- statistics -------------
% 1.60/1.83 clauses given 9
% 1.60/1.83 clauses generated 257
% 1.60/1.83 clauses kept 42
% 1.60/1.83 clauses forward subsumed 216
% 1.60/1.83 clauses back subsumed 39
% 1.60/1.83 Kbytes malloced 976
% 1.60/1.83
% 1.60/1.83 ----------- times (seconds) -----------
% 1.60/1.83 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.60/1.83 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.83 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.60/1.83
% 1.60/1.83 That finishes the proof of the theorem.
% 1.60/1.83
% 1.60/1.83 Process 24495 finished Wed Jul 27 11:06:56 2022
% 1.60/1.83 Otter interrupted
% 1.60/1.83 PROOF FOUND
%------------------------------------------------------------------------------