%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 6 unt; 2 nHn; 15 RR)
% Number of literals : 28 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ t
| ~ s
| p ),
file('SYN030-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ r
| s ),
file('SYN030-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ r
| ~ q
| t ),
file('SYN030-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ q
| r ),
file('SYN030-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ r
| q ),
file('SYN030-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p
| ~ q
| ~ r ),
file('SYN030-1.p',unknown),
[] ).
cnf(9,plain,
( ~ p
| ~ r
| ~ q ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(10,axiom,
( q
| r ),
file('SYN030-1.p',unknown),
[] ).
cnf(11,plain,
( r
| q ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,propositional')] ).
cnf(12,plain,
q,
inference(hyper,[status(thm)],[11,6]),
[iquote('hyper,11,6')] ).
cnf(13,plain,
r,
inference(hyper,[status(thm)],[12,5]),
[iquote('hyper,12,5')] ).
cnf(14,plain,
t,
inference(hyper,[status(thm)],[13,4,12]),
[iquote('hyper,13,4,12')] ).
cnf(15,plain,
s,
inference(hyper,[status(thm)],[13,2]),
[iquote('hyper,13,2')] ).
cnf(16,plain,
p,
inference(hyper,[status(thm)],[15,1,14]),
[iquote('hyper,15,1,14')] ).
cnf(17,plain,
$false,
inference(hyper,[status(thm)],[16,9,13,12]),
[iquote('hyper,16,9,13,12')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 10:41:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.76/1.96 ----- Otter 3.3f, August 2004 -----
% 1.76/1.96 The process was started by sandbox2 on n007.cluster.edu,
% 1.76/1.96 Wed Jul 27 10:41:01 2022
% 1.76/1.96 The command was "./otter". The process ID is 17580.
% 1.76/1.96
% 1.76/1.96 set(prolog_style_variables).
% 1.76/1.96 set(auto).
% 1.76/1.96 dependent: set(auto1).
% 1.76/1.96 dependent: set(process_input).
% 1.76/1.96 dependent: clear(print_kept).
% 1.76/1.96 dependent: clear(print_new_demod).
% 1.76/1.96 dependent: clear(print_back_demod).
% 1.76/1.96 dependent: clear(print_back_sub).
% 1.76/1.96 dependent: set(control_memory).
% 1.76/1.96 dependent: assign(max_mem, 12000).
% 1.76/1.96 dependent: assign(pick_given_ratio, 4).
% 1.76/1.96 dependent: assign(stats_level, 1).
% 1.76/1.96 dependent: assign(max_seconds, 10800).
% 1.76/1.96 clear(print_given).
% 1.76/1.96
% 1.76/1.96 list(usable).
% 1.76/1.96 0 [] -t| -s|p.
% 1.76/1.96 0 [] -r|s.
% 1.76/1.96 0 [] -t|r.
% 1.76/1.96 0 [] -r| -q|t.
% 1.76/1.96 0 [] -q|r.
% 1.76/1.96 0 [] q|r.
% 1.76/1.96 0 [] -r|q.
% 1.76/1.96 0 [] -s| -p|q.
% 1.76/1.96 0 [] -p| -q| -r.
% 1.76/1.96 end_of_list.
% 1.76/1.96
% 1.76/1.96 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.76/1.96
% 1.76/1.96 The clause set is propositional; the strategy will be
% 1.76/1.96 ordered hyperresolution with the propositional
% 1.76/1.96 optimizations, with satellites in sos and nuclei in usable.
% 1.76/1.96
% 1.76/1.96 dependent: set(hyper_res).
% 1.76/1.96 dependent: set(propositional).
% 1.76/1.96 dependent: set(sort_literals).
% 1.76/1.96
% 1.76/1.96 ------------> process usable:
% 1.76/1.96 ** KEPT (pick-wt=3): 1 [] -t| -s|p.
% 1.76/1.96 ** KEPT (pick-wt=2): 2 [] -r|s.
% 1.76/1.96 ** KEPT (pick-wt=2): 3 [] -t|r.
% 1.76/1.96 ** KEPT (pick-wt=3): 4 [] -r| -q|t.
% 1.76/1.96 ** KEPT (pick-wt=2): 5 [] -q|r.
% 1.76/1.96 ** KEPT (pick-wt=2): 6 [] -r|q.
% 1.76/1.96 ** KEPT (pick-wt=3): 7 [] -s| -p|q.
% 1.76/1.96 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -p| -r| -q.
% 1.76/1.96
% 1.76/1.96 ------------> process sos:
% 1.76/1.96 ** KEPT (pick-wt=2): 11 [copy,10,propositional] r|q.
% 1.76/1.96
% 1.76/1.96 ======= end of input processing =======
% 1.76/1.96
% 1.76/1.96 =========== start of search ===========
% 1.76/1.96
% 1.76/1.96 -------- PROOF --------
% 1.76/1.96
% 1.76/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 17 [hyper,16,9,13,12] $F.
% 1.76/1.96
% 1.76/1.96 Length of proof is 7. Level of proof is 5.
% 1.76/1.96
% 1.76/1.96 ---------------- PROOF ----------------
% 1.76/1.96 % SZS status Unsatisfiable
% 1.76/1.96 % SZS output start Refutation
% See solution above
% 1.76/1.96 ------------ end of proof -------------
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96 ============ end of search ============
% 1.76/1.96
% 1.76/1.96 -------------- statistics -------------
% 1.76/1.96 clauses given 6
% 1.76/1.96 clauses generated 7
% 1.76/1.96 clauses kept 14
% 1.76/1.96 clauses forward subsumed 1
% 1.76/1.96 clauses back subsumed 8
% 1.76/1.96 Kbytes malloced 976
% 1.76/1.96
% 1.76/1.96 ----------- times (seconds) -----------
% 1.76/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.76/1.96
% 1.76/1.96 That finishes the proof of the theorem.
% 1.76/1.96
% 1.76/1.96 Process 17580 finished Wed Jul 27 10:41:02 2022
% 1.76/1.96 Otter interrupted
% 1.76/1.96 PROOF FOUND
%------------------------------------------------------------------------------