TSTP Solution File: SYN011-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN011-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:23:18 EDT 2022
% Result : Unsatisfiable 1.68s 1.89s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 4 unt; 7 nHn; 19 RR)
% Number of literals : 39 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ n
| ~ t ),
file('SYN011-1.p',unknown),
[] ).
cnf(2,axiom,
( l
| ~ m ),
file('SYN011-1.p',unknown),
[] ).
cnf(3,plain,
( ~ m
| l ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( l
| ~ q ),
file('SYN011-1.p',unknown),
[] ).
cnf(5,plain,
( ~ q
| l ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(6,axiom,
( ~ l
| ~ p ),
file('SYN011-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ r
| ~ l ),
file('SYN011-1.p',unknown),
[] ).
cnf(8,plain,
( ~ l
| ~ r ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,propositional')] ).
cnf(9,axiom,
( m
| q
| n ),
file('SYN011-1.p',unknown),
[] ).
cnf(10,plain,
( n
| m
| q ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,propositional')] ).
cnf(11,axiom,
( r
| p
| n ),
file('SYN011-1.p',unknown),
[] ).
cnf(12,plain,
( n
| p
| r ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,propositional')] ).
cnf(13,axiom,
t,
file('SYN011-1.p',unknown),
[] ).
cnf(14,plain,
( n
| m
| l ),
inference(hyper,[status(thm)],[10,5]),
[iquote('hyper,10,5')] ).
cnf(15,plain,
( m
| l ),
inference(hyper,[status(thm)],[14,1,13]),
[iquote('hyper,14,1,13')] ).
cnf(16,plain,
l,
inference(hyper,[status(thm)],[15,3]),
[iquote('hyper,15,3')] ).
cnf(17,plain,
( n
| p ),
inference(hyper,[status(thm)],[16,8,12]),
[iquote('hyper,16,8,12')] ).
cnf(18,plain,
n,
inference(hyper,[status(thm)],[17,6,16]),
[iquote('hyper,17,6,16')] ).
cnf(19,plain,
$false,
inference(hyper,[status(thm)],[18,1,13]),
[iquote('hyper,18,1,13')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN011-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:11:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.68/1.89 ----- Otter 3.3f, August 2004 -----
% 1.68/1.89 The process was started by sandbox2 on n009.cluster.edu,
% 1.68/1.89 Wed Jul 27 11:11:51 2022
% 1.68/1.89 The command was "./otter". The process ID is 15874.
% 1.68/1.89
% 1.68/1.89 set(prolog_style_variables).
% 1.68/1.89 set(auto).
% 1.68/1.89 dependent: set(auto1).
% 1.68/1.89 dependent: set(process_input).
% 1.68/1.89 dependent: clear(print_kept).
% 1.68/1.89 dependent: clear(print_new_demod).
% 1.68/1.89 dependent: clear(print_back_demod).
% 1.68/1.89 dependent: clear(print_back_sub).
% 1.68/1.89 dependent: set(control_memory).
% 1.68/1.89 dependent: assign(max_mem, 12000).
% 1.68/1.89 dependent: assign(pick_given_ratio, 4).
% 1.68/1.89 dependent: assign(stats_level, 1).
% 1.68/1.89 dependent: assign(max_seconds, 10800).
% 1.68/1.89 clear(print_given).
% 1.68/1.89
% 1.68/1.89 list(usable).
% 1.68/1.89 0 [] -n| -t.
% 1.68/1.89 0 [] m|q|n.
% 1.68/1.89 0 [] l| -m.
% 1.68/1.89 0 [] l| -q.
% 1.68/1.89 0 [] -l| -p.
% 1.68/1.89 0 [] r|p|n.
% 1.68/1.89 0 [] -r| -l.
% 1.68/1.89 0 [] t.
% 1.68/1.89 end_of_list.
% 1.68/1.89
% 1.68/1.89 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.68/1.89
% 1.68/1.89 The clause set is propositional; the strategy will be
% 1.68/1.89 ordered hyperresolution with the propositional
% 1.68/1.89 optimizations, with satellites in sos and nuclei in usable.
% 1.68/1.89
% 1.68/1.89 dependent: set(hyper_res).
% 1.68/1.89 dependent: set(propositional).
% 1.68/1.89 dependent: set(sort_literals).
% 1.68/1.89
% 1.68/1.89 ------------> process usable:
% 1.68/1.89 ** KEPT (pick-wt=2): 1 [] -n| -t.
% 1.68/1.89 ** KEPT (pick-wt=2): 3 [copy,2,propositional] -m|l.
% 1.68/1.89 ** KEPT (pick-wt=2): 5 [copy,4,propositional] -q|l.
% 1.68/1.89 ** KEPT (pick-wt=2): 6 [] -l| -p.
% 1.68/1.89 ** KEPT (pick-wt=2): 8 [copy,7,propositional] -l| -r.
% 1.68/1.89
% 1.68/1.89 ------------> process sos:
% 1.68/1.89 ** KEPT (pick-wt=3): 10 [copy,9,propositional] n|m|q.
% 1.68/1.89 ** KEPT (pick-wt=3): 12 [copy,11,propositional] n|p|r.
% 1.68/1.89 ** KEPT (pick-wt=1): 13 [] t.
% 1.68/1.89
% 1.68/1.89 ======= end of input processing =======
% 1.68/1.89
% 1.68/1.89 =========== start of search ===========
% 1.68/1.89
% 1.68/1.89 -------- PROOF --------
% 1.68/1.89
% 1.68/1.89 -----> EMPTY CLAUSE at 0.00 sec ----> 19 [hyper,18,1,13] $F.
% 1.68/1.89
% 1.68/1.89 Length of proof is 10. Level of proof is 6.
% 1.68/1.89
% 1.68/1.89 ---------------- PROOF ----------------
% 1.68/1.89 % SZS status Unsatisfiable
% 1.68/1.89 % SZS output start Refutation
% See solution above
% 1.68/1.89 ------------ end of proof -------------
% 1.68/1.89
% 1.68/1.89
% 1.68/1.89 Search stopped by max_proofs option.
% 1.68/1.89
% 1.68/1.89
% 1.68/1.89 Search stopped by max_proofs option.
% 1.68/1.89
% 1.68/1.89 ============ end of search ============
% 1.68/1.89
% 1.68/1.89 -------------- statistics -------------
% 1.68/1.89 clauses given 8
% 1.68/1.89 clauses generated 6
% 1.68/1.89 clauses kept 13
% 1.68/1.89 clauses forward subsumed 0
% 1.68/1.89 clauses back subsumed 7
% 1.68/1.89 Kbytes malloced 976
% 1.68/1.89
% 1.68/1.89 ----------- times (seconds) -----------
% 1.68/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.68/1.89
% 1.68/1.89 That finishes the proof of the theorem.
% 1.68/1.89
% 1.68/1.89 Process 15874 finished Wed Jul 27 11:11:52 2022
% 1.68/1.89 Otter interrupted
% 1.68/1.89 PROOF FOUND
%------------------------------------------------------------------------------