%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN047-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:23:23 EDT 2022
% Result : Unsatisfiable 1.90s 2.06s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 2 nHn; 10 RR)
% Number of literals : 16 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 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
| s ),
file('SYN047-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ p
| ~ r
| s ),
file('SYN047-1.p',unknown),
[] ).
cnf(3,axiom,
~ s,
file('SYN047-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ q
| r ),
file('SYN047-1.p',unknown),
[] ).
cnf(5,axiom,
p,
file('SYN047-1.p',unknown),
[] ).
cnf(6,plain,
( q
| s ),
inference(hyper,[status(thm)],[5,1]),
[iquote('hyper,5,1')] ).
cnf(7,plain,
q,
inference(hyper,[status(thm)],[6,3]),
[iquote('hyper,6,3')] ).
cnf(8,plain,
r,
inference(hyper,[status(thm)],[7,4]),
[iquote('hyper,7,4')] ).
cnf(9,plain,
s,
inference(hyper,[status(thm)],[8,2,5]),
[iquote('hyper,8,2,5')] ).
cnf(10,plain,
$false,
inference(binary,[status(thm)],[9,3]),
[iquote('binary,9.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN047-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 11:21:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.06 ----- Otter 3.3f, August 2004 -----
% 1.86/2.06 The process was started by sandbox on n013.cluster.edu,
% 1.86/2.06 Wed Jul 27 11:21:30 2022
% 1.86/2.06 The command was "./otter". The process ID is 11853.
% 1.86/2.06
% 1.86/2.06 set(prolog_style_variables).
% 1.86/2.06 set(auto).
% 1.86/2.06 dependent: set(auto1).
% 1.86/2.06 dependent: set(process_input).
% 1.86/2.06 dependent: clear(print_kept).
% 1.86/2.06 dependent: clear(print_new_demod).
% 1.86/2.06 dependent: clear(print_back_demod).
% 1.86/2.06 dependent: clear(print_back_sub).
% 1.86/2.06 dependent: set(control_memory).
% 1.86/2.06 dependent: assign(max_mem, 12000).
% 1.86/2.06 dependent: assign(pick_given_ratio, 4).
% 1.86/2.06 dependent: assign(stats_level, 1).
% 1.86/2.06 dependent: assign(max_seconds, 10800).
% 1.86/2.06 clear(print_given).
% 1.86/2.06
% 1.86/2.06 list(usable).
% 1.86/2.06 0 [] p.
% 1.86/2.06 0 [] -p|q|s.
% 1.86/2.06 0 [] -p| -r|s.
% 1.86/2.06 0 [] -s.
% 1.86/2.06 0 [] -q|r.
% 1.86/2.06 end_of_list.
% 1.86/2.06
% 1.86/2.06 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.86/2.06
% 1.86/2.06 The clause set is propositional; the strategy will be
% 1.86/2.06 ordered hyperresolution with the propositional
% 1.86/2.06 optimizations, with satellites in sos and nuclei in usable.
% 1.86/2.06
% 1.86/2.06 dependent: set(hyper_res).
% 1.86/2.06 dependent: set(propositional).
% 1.86/2.06 dependent: set(sort_literals).
% 1.90/2.06
% 1.90/2.06 ------------> process usable:
% 1.90/2.06 ** KEPT (pick-wt=3): 1 [] -p|q|s.
% 1.90/2.06 ** KEPT (pick-wt=3): 2 [] -p| -r|s.
% 1.90/2.06 ** KEPT (pick-wt=1): 3 [] -s.
% 1.90/2.06 ** KEPT (pick-wt=2): 4 [] -q|r.
% 1.90/2.06
% 1.90/2.06 ------------> process sos:
% 1.90/2.06 ** KEPT (pick-wt=1): 5 [] p.
% 1.90/2.06
% 1.90/2.06 ======= end of input processing =======
% 1.90/2.06
% 1.90/2.06 =========== start of search ===========
% 1.90/2.06
% 1.90/2.06 -------- PROOF --------
% 1.90/2.06
% 1.90/2.06 ----> UNIT CONFLICT at 0.00 sec ----> 10 [binary,9.1,3.1] $F.
% 1.90/2.06
% 1.90/2.06 Length of proof is 4. Level of proof is 4.
% 1.90/2.06
% 1.90/2.06 ---------------- PROOF ----------------
% 1.90/2.06 % SZS status Unsatisfiable
% 1.90/2.06 % SZS output start Refutation
% See solution above
% 1.90/2.06 ------------ end of proof -------------
% 1.90/2.06
% 1.90/2.06
% 1.90/2.06 Search stopped by max_proofs option.
% 1.90/2.06
% 1.90/2.06
% 1.90/2.06 Search stopped by max_proofs option.
% 1.90/2.06
% 1.90/2.06 ============ end of search ============
% 1.90/2.06
% 1.90/2.06 -------------- statistics -------------
% 1.90/2.06 clauses given 4
% 1.90/2.06 clauses generated 4
% 1.90/2.06 clauses kept 9
% 1.90/2.06 clauses forward subsumed 0
% 1.90/2.06 clauses back subsumed 3
% 1.90/2.06 Kbytes malloced 976
% 1.90/2.06
% 1.90/2.06 ----------- times (seconds) -----------
% 1.90/2.06 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.90/2.06 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.90/2.06 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.90/2.06
% 1.90/2.06 That finishes the proof of the theorem.
% 1.90/2.06
% 1.90/2.06 Process 11853 finished Wed Jul 27 11:21:31 2022
% 1.90/2.06 Otter interrupted
% 1.90/2.06 PROOF FOUND
%------------------------------------------------------------------------------