TSTP Solution File: SYN003-1.006 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN003-1.006 : 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 13:23:17 EDT 2022
% Result : Unsatisfiable 1.68s 1.89s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 15 unt; 0 nHn; 25 RR)
% Number of literals : 40 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p_1
| ~ q_1
| p_2 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(7,axiom,
( ~ p_2
| ~ r_2
| p_3 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(8,axiom,
( ~ p_3
| ~ r_3
| p_4 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(9,axiom,
( ~ p_4
| ~ r_4
| p_5 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(10,axiom,
( ~ p_5
| ~ r_5
| p_6 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(11,axiom,
( ~ q
| q_1 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(17,axiom,
( ~ r
| r_2 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(18,axiom,
( ~ r
| r_3 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(19,axiom,
( ~ r
| r_4 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(20,axiom,
( ~ r
| r_5 ),
file('SYN003-1.006.p',unknown),
[] ).
cnf(21,axiom,
~ p_6,
file('SYN003-1.006.p',unknown),
[] ).
cnf(22,axiom,
p_1,
file('SYN003-1.006.p',unknown),
[] ).
cnf(23,axiom,
q,
file('SYN003-1.006.p',unknown),
[] ).
cnf(24,axiom,
r,
file('SYN003-1.006.p',unknown),
[] ).
cnf(29,plain,
q_1,
inference(hyper,[status(thm)],[23,11]),
[iquote('hyper,23,11')] ).
cnf(30,plain,
r_5,
inference(hyper,[status(thm)],[24,20]),
[iquote('hyper,24,20')] ).
cnf(31,plain,
r_4,
inference(hyper,[status(thm)],[24,19]),
[iquote('hyper,24,19')] ).
cnf(32,plain,
r_3,
inference(hyper,[status(thm)],[24,18]),
[iquote('hyper,24,18')] ).
cnf(33,plain,
r_2,
inference(hyper,[status(thm)],[24,17]),
[iquote('hyper,24,17')] ).
cnf(35,plain,
p_2,
inference(hyper,[status(thm)],[29,1,22]),
[iquote('hyper,29,1,22')] ).
cnf(36,plain,
p_3,
inference(hyper,[status(thm)],[35,7,33]),
[iquote('hyper,35,7,33')] ).
cnf(37,plain,
p_4,
inference(hyper,[status(thm)],[36,8,32]),
[iquote('hyper,36,8,32')] ).
cnf(38,plain,
p_5,
inference(hyper,[status(thm)],[37,9,31]),
[iquote('hyper,37,9,31')] ).
cnf(39,plain,
p_6,
inference(hyper,[status(thm)],[38,10,30]),
[iquote('hyper,38,10,30')] ).
cnf(40,plain,
$false,
inference(binary,[status(thm)],[39,21]),
[iquote('binary,39.1,21.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN003-1.006 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 10:42:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.89 ----- Otter 3.3f, August 2004 -----
% 1.68/1.89 The process was started by sandbox on n007.cluster.edu,
% 1.68/1.89 Wed Jul 27 10:42:31 2022
% 1.68/1.89 The command was "./otter". The process ID is 22040.
% 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 [] -p_1| -q_1|p_2.
% 1.68/1.89 0 [] -p_2| -q_2|p_3.
% 1.68/1.89 0 [] -p_3| -q_3|p_4.
% 1.68/1.89 0 [] -p_4| -q_4|p_5.
% 1.68/1.89 0 [] -p_5| -q_5|p_6.
% 1.68/1.89 0 [] -p_1| -r_1|p_2.
% 1.68/1.89 0 [] -p_2| -r_2|p_3.
% 1.68/1.89 0 [] -p_3| -r_3|p_4.
% 1.68/1.89 0 [] -p_4| -r_4|p_5.
% 1.68/1.89 0 [] -p_5| -r_5|p_6.
% 1.68/1.89 0 [] -q|q_1.
% 1.68/1.89 0 [] -q|q_2.
% 1.68/1.89 0 [] -q|q_3.
% 1.68/1.89 0 [] -q|q_4.
% 1.68/1.89 0 [] -q|q_5.
% 1.68/1.89 0 [] -r|r_1.
% 1.68/1.89 0 [] -r|r_2.
% 1.68/1.89 0 [] -r|r_3.
% 1.68/1.89 0 [] -r|r_4.
% 1.68/1.89 0 [] -r|r_5.
% 1.68/1.89 0 [] p_1.
% 1.68/1.89 0 [] -p_6.
% 1.68/1.89 0 [] q.
% 1.68/1.89 0 [] r.
% 1.68/1.89 end_of_list.
% 1.68/1.89
% 1.68/1.89 SCAN INPUT: prop=1, horn=1, 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=3): 1 [] -p_1| -q_1|p_2.
% 1.68/1.89 ** KEPT (pick-wt=3): 2 [] -p_2| -q_2|p_3.
% 1.68/1.89 ** KEPT (pick-wt=3): 3 [] -p_3| -q_3|p_4.
% 1.68/1.89 ** KEPT (pick-wt=3): 4 [] -p_4| -q_4|p_5.
% 1.68/1.89 ** KEPT (pick-wt=3): 5 [] -p_5| -q_5|p_6.
% 1.68/1.89 ** KEPT (pick-wt=3): 6 [] -p_1| -r_1|p_2.
% 1.68/1.89 ** KEPT (pick-wt=3): 7 [] -p_2| -r_2|p_3.
% 1.68/1.89 ** KEPT (pick-wt=3): 8 [] -p_3| -r_3|p_4.
% 1.68/1.89 ** KEPT (pick-wt=3): 9 [] -p_4| -r_4|p_5.
% 1.68/1.89 ** KEPT (pick-wt=3): 10 [] -p_5| -r_5|p_6.
% 1.68/1.89 ** KEPT (pick-wt=2): 11 [] -q|q_1.
% 1.68/1.89 ** KEPT (pick-wt=2): 12 [] -q|q_2.
% 1.68/1.89 ** KEPT (pick-wt=2): 13 [] -q|q_3.
% 1.68/1.89 ** KEPT (pick-wt=2): 14 [] -q|q_4.
% 1.68/1.89 ** KEPT (pick-wt=2): 15 [] -q|q_5.
% 1.68/1.89 ** KEPT (pick-wt=2): 16 [] -r|r_1.
% 1.68/1.89 ** KEPT (pick-wt=2): 17 [] -r|r_2.
% 1.68/1.89 ** KEPT (pick-wt=2): 18 [] -r|r_3.
% 1.68/1.89 ** KEPT (pick-wt=2): 19 [] -r|r_4.
% 1.68/1.89 ** KEPT (pick-wt=2): 20 [] -r|r_5.
% 1.68/1.89 ** KEPT (pick-wt=1): 21 [] -p_6.
% 1.68/1.89
% 1.68/1.89 ------------> process sos:
% 1.68/1.89 ** KEPT (pick-wt=1): 22 [] p_1.
% 1.68/1.89 ** KEPT (pick-wt=1): 23 [] q.
% 1.68/1.89 ** KEPT (pick-wt=1): 24 [] r.
% 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 ----> UNIT CONFLICT at 0.00 sec ----> 40 [binary,39.1,21.1] $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 17
% 1.68/1.89 clauses generated 18
% 1.68/1.89 clauses kept 39
% 1.68/1.89 clauses forward subsumed 3
% 1.68/1.89 clauses back subsumed 18
% 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 22040 finished Wed Jul 27 10:42:32 2022
% 1.68/1.89 Otter interrupted
% 1.68/1.89 PROOF FOUND
%------------------------------------------------------------------------------