TSTP Solution File: SYN029-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN029-1 : 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 13:23:19 EDT 2022
% Result : Unsatisfiable 1.29s 1.69s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 4 unt; 1 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p
| q ),
file('SYN029-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ r
| ~ q
| p ),
file('SYN029-1.p',unknown),
[] ).
cnf(3,plain,
( ~ q
| ~ r
| p ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( ~ p
| ~ q ),
file('SYN029-1.p',unknown),
[] ).
cnf(5,plain,
( ~ q
| ~ p ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(6,axiom,
( q
| p ),
file('SYN029-1.p',unknown),
[] ).
cnf(7,axiom,
r,
file('SYN029-1.p',unknown),
[] ).
cnf(8,plain,
p,
inference(hyper,[status(thm)],[7,3,6]),
[iquote('hyper,7,3,6')] ).
cnf(9,plain,
q,
inference(hyper,[status(thm)],[8,1]),
[iquote('hyper,8,1')] ).
cnf(10,plain,
$false,
inference(hyper,[status(thm)],[9,5,8]),
[iquote('hyper,9,5,8')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % 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 11:06:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.29/1.69 ----- Otter 3.3f, August 2004 -----
% 1.29/1.69 The process was started by sandbox2 on n010.cluster.edu,
% 1.29/1.69 Wed Jul 27 11:06:39 2022
% 1.29/1.69 The command was "./otter". The process ID is 23601.
% 1.29/1.69
% 1.29/1.69 set(prolog_style_variables).
% 1.29/1.69 set(auto).
% 1.29/1.69 dependent: set(auto1).
% 1.29/1.69 dependent: set(process_input).
% 1.29/1.69 dependent: clear(print_kept).
% 1.29/1.69 dependent: clear(print_new_demod).
% 1.29/1.69 dependent: clear(print_back_demod).
% 1.29/1.69 dependent: clear(print_back_sub).
% 1.29/1.69 dependent: set(control_memory).
% 1.29/1.69 dependent: assign(max_mem, 12000).
% 1.29/1.69 dependent: assign(pick_given_ratio, 4).
% 1.29/1.69 dependent: assign(stats_level, 1).
% 1.29/1.69 dependent: assign(max_seconds, 10800).
% 1.29/1.69 clear(print_given).
% 1.29/1.69
% 1.29/1.69 list(usable).
% 1.29/1.69 0 [] q|p.
% 1.29/1.69 0 [] -p|q.
% 1.29/1.69 0 [] -r| -q|p.
% 1.29/1.69 0 [] r.
% 1.29/1.69 0 [] -p| -q.
% 1.29/1.69 end_of_list.
% 1.29/1.69
% 1.29/1.69 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.29/1.69
% 1.29/1.69 The clause set is propositional; the strategy will be
% 1.29/1.69 ordered hyperresolution with the propositional
% 1.29/1.69 optimizations, with satellites in sos and nuclei in usable.
% 1.29/1.69
% 1.29/1.69 dependent: set(hyper_res).
% 1.29/1.69 dependent: set(propositional).
% 1.29/1.69 dependent: set(sort_literals).
% 1.29/1.69
% 1.29/1.69 ------------> process usable:
% 1.29/1.69 ** KEPT (pick-wt=2): 1 [] -p|q.
% 1.29/1.69 ** KEPT (pick-wt=3): 3 [copy,2,propositional] -q| -r|p.
% 1.29/1.69 ** KEPT (pick-wt=2): 5 [copy,4,propositional] -q| -p.
% 1.29/1.69
% 1.29/1.69 ------------> process sos:
% 1.29/1.69 ** KEPT (pick-wt=2): 6 [] q|p.
% 1.29/1.69 ** KEPT (pick-wt=1): 7 [] r.
% 1.29/1.69
% 1.29/1.69 ======= end of input processing =======
% 1.29/1.69
% 1.29/1.69 =========== start of search ===========
% 1.29/1.69
% 1.29/1.69 -------- PROOF --------
% 1.29/1.69
% 1.29/1.69 -----> EMPTY CLAUSE at 0.00 sec ----> 10 [hyper,9,5,8] $F.
% 1.29/1.69
% 1.29/1.69 Length of proof is 4. Level of proof is 3.
% 1.29/1.69
% 1.29/1.69 ---------------- PROOF ----------------
% 1.29/1.69 % SZS status Unsatisfiable
% 1.29/1.69 % SZS output start Refutation
% See solution above
% 1.29/1.69 ------------ end of proof -------------
% 1.29/1.69
% 1.29/1.69
% 1.29/1.69 Search stopped by max_proofs option.
% 1.29/1.69
% 1.29/1.69
% 1.29/1.69 Search stopped by max_proofs option.
% 1.29/1.69
% 1.29/1.69 ============ end of search ============
% 1.29/1.69
% 1.29/1.69 -------------- statistics -------------
% 1.29/1.69 clauses given 4
% 1.29/1.69 clauses generated 3
% 1.29/1.69 clauses kept 7
% 1.29/1.69 clauses forward subsumed 0
% 1.29/1.69 clauses back subsumed 3
% 1.29/1.69 Kbytes malloced 976
% 1.29/1.69
% 1.29/1.69 ----------- times (seconds) -----------
% 1.29/1.69 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.29/1.69 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.29/1.69 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.29/1.69
% 1.29/1.69 That finishes the proof of the theorem.
% 1.29/1.69
% 1.29/1.69 Process 23601 finished Wed Jul 27 11:06:41 2022
% 1.29/1.69 Otter interrupted
% 1.29/1.69 PROOF FOUND
%------------------------------------------------------------------------------