TSTP Solution File: SYN032-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:23:20 EDT 2022
% Result : Unsatisfiable 1.96s 2.13s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 3 unt; 9 nHn; 18 RR)
% Number of literals : 39 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( h
| a
| ~ j ),
file('SYN032-1.p',unknown),
[] ).
cnf(2,plain,
( ~ j
| h
| a ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,propositional')] ).
cnf(3,axiom,
( h
| j
| ~ k ),
file('SYN032-1.p',unknown),
[] ).
cnf(4,plain,
( ~ k
| h
| j ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[3])]),
[iquote('copy,3,propositional')] ).
cnf(5,axiom,
( b
| ~ a ),
file('SYN032-1.p',unknown),
[] ).
cnf(6,plain,
( ~ a
| b ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,propositional')] ).
cnf(7,axiom,
( c
| ~ h ),
file('SYN032-1.p',unknown),
[] ).
cnf(8,plain,
( ~ h
| c ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,propositional')] ).
cnf(9,axiom,
( ~ h
| ~ c ),
file('SYN032-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ a
| ~ b ),
file('SYN032-1.p',unknown),
[] ).
cnf(11,axiom,
( h
| k
| j ),
file('SYN032-1.p',unknown),
[] ).
cnf(12,plain,
( h
| j
| k ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,propositional')] ).
cnf(13,plain,
( h
| j ),
inference(hyper,[status(thm)],[12,4]),
[iquote('hyper,12,4')] ).
cnf(14,plain,
( h
| a ),
inference(hyper,[status(thm)],[13,2]),
[iquote('hyper,13,2')] ).
cnf(15,plain,
( a
| c ),
inference(hyper,[status(thm)],[14,8]),
[iquote('hyper,14,8')] ).
cnf(16,plain,
a,
inference(hyper,[status(thm)],[15,9,14]),
[iquote('hyper,15,9,14')] ).
cnf(17,plain,
b,
inference(hyper,[status(thm)],[16,6]),
[iquote('hyper,16,6')] ).
cnf(18,plain,
$false,
inference(hyper,[status(thm)],[17,10,16]),
[iquote('hyper,17,10,16')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 10:56:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.13 ----- Otter 3.3f, August 2004 -----
% 1.96/2.13 The process was started by sandbox on n011.cluster.edu,
% 1.96/2.13 Wed Jul 27 10:56:25 2022
% 1.96/2.13 The command was "./otter". The process ID is 12292.
% 1.96/2.13
% 1.96/2.13 set(prolog_style_variables).
% 1.96/2.13 set(auto).
% 1.96/2.13 dependent: set(auto1).
% 1.96/2.13 dependent: set(process_input).
% 1.96/2.13 dependent: clear(print_kept).
% 1.96/2.13 dependent: clear(print_new_demod).
% 1.96/2.13 dependent: clear(print_back_demod).
% 1.96/2.13 dependent: clear(print_back_sub).
% 1.96/2.13 dependent: set(control_memory).
% 1.96/2.13 dependent: assign(max_mem, 12000).
% 1.96/2.13 dependent: assign(pick_given_ratio, 4).
% 1.96/2.13 dependent: assign(stats_level, 1).
% 1.96/2.13 dependent: assign(max_seconds, 10800).
% 1.96/2.13 clear(print_given).
% 1.96/2.13
% 1.96/2.13 list(usable).
% 1.96/2.13 0 [] h|a| -j.
% 1.96/2.13 0 [] h|k|j.
% 1.96/2.13 0 [] h|j| -k.
% 1.96/2.13 0 [] b| -a.
% 1.96/2.13 0 [] c| -h.
% 1.96/2.13 0 [] -h| -c.
% 1.96/2.13 0 [] -a| -b.
% 1.96/2.13 end_of_list.
% 1.96/2.13
% 1.96/2.13 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.96/2.13
% 1.96/2.13 The clause set is propositional; the strategy will be
% 1.96/2.13 ordered hyperresolution with the propositional
% 1.96/2.13 optimizations, with satellites in sos and nuclei in usable.
% 1.96/2.13
% 1.96/2.13 dependent: set(hyper_res).
% 1.96/2.13 dependent: set(propositional).
% 1.96/2.13 dependent: set(sort_literals).
% 1.96/2.13
% 1.96/2.13 ------------> process usable:
% 1.96/2.13 ** KEPT (pick-wt=3): 2 [copy,1,propositional] -j|h|a.
% 1.96/2.13 ** KEPT (pick-wt=3): 4 [copy,3,propositional] -k|h|j.
% 1.96/2.13 ** KEPT (pick-wt=2): 6 [copy,5,propositional] -a|b.
% 1.96/2.13 ** KEPT (pick-wt=2): 8 [copy,7,propositional] -h|c.
% 1.96/2.13 ** KEPT (pick-wt=2): 9 [] -h| -c.
% 1.96/2.13 ** KEPT (pick-wt=2): 10 [] -a| -b.
% 1.96/2.13
% 1.96/2.13 ------------> process sos:
% 1.96/2.13 ** KEPT (pick-wt=3): 12 [copy,11,propositional] h|j|k.
% 1.96/2.13
% 1.96/2.13 ======= end of input processing =======
% 1.96/2.13
% 1.96/2.13 =========== start of search ===========
% 1.96/2.13
% 1.96/2.13 -------- PROOF --------
% 1.96/2.13
% 1.96/2.13 -----> EMPTY CLAUSE at 0.00 sec ----> 18 [hyper,17,10,16] $F.
% 1.96/2.13
% 1.96/2.13 Length of proof is 10. Level of proof is 6.
% 1.96/2.13
% 1.96/2.13 ---------------- PROOF ----------------
% 1.96/2.13 % SZS status Unsatisfiable
% 1.96/2.13 % SZS output start Refutation
% See solution above
% 1.96/2.13 ------------ end of proof -------------
% 1.96/2.13
% 1.96/2.13
% 1.96/2.13 Search stopped by max_proofs option.
% 1.96/2.13
% 1.96/2.13
% 1.96/2.13 Search stopped by max_proofs option.
% 1.96/2.13
% 1.96/2.13 ============ end of search ============
% 1.96/2.13
% 1.96/2.13 -------------- statistics -------------
% 1.96/2.13 clauses given 6
% 1.96/2.13 clauses generated 6
% 1.96/2.13 clauses kept 12
% 1.96/2.13 clauses forward subsumed 0
% 1.96/2.13 clauses back subsumed 6
% 1.96/2.13 Kbytes malloced 976
% 1.96/2.13
% 1.96/2.13 ----------- times (seconds) -----------
% 1.96/2.13 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.13 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.13
% 1.96/2.13 That finishes the proof of the theorem.
% 1.96/2.13
% 1.96/2.13 Process 12292 finished Wed Jul 27 10:56:27 2022
% 1.96/2.13 Otter interrupted
% 1.96/2.13 PROOF FOUND
%------------------------------------------------------------------------------