TSTP Solution File: SYN089-1.002 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN089-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:23:33 EDT 2022
% Result : Unsatisfiable 1.58s 1.78s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 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_1_2,
file('SYN089-1.002.p',unknown),
[] ).
cnf(2,axiom,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
file('SYN089-1.002.p',unknown),
[] ).
cnf(3,plain,
( ~ p_2_2
| ~ p_1_1
| p_1_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(10,axiom,
p_1_1,
file('SYN089-1.002.p',unknown),
[] ).
cnf(12,axiom,
p_2_2,
file('SYN089-1.002.p',unknown),
[] ).
cnf(15,plain,
p_1_2,
inference(hyper,[status(thm)],[12,3,10]),
[iquote('hyper,12,3,10')] ).
cnf(16,plain,
$false,
inference(binary,[status(thm)],[15,1]),
[iquote('binary,15.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN089-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.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 11:02:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.58/1.78 ----- Otter 3.3f, August 2004 -----
% 1.58/1.78 The process was started by sandbox2 on n009.cluster.edu,
% 1.58/1.78 Wed Jul 27 11:02:21 2022
% 1.58/1.78 The command was "./otter". The process ID is 4474.
% 1.58/1.78
% 1.58/1.78 set(prolog_style_variables).
% 1.58/1.78 set(auto).
% 1.58/1.78 dependent: set(auto1).
% 1.58/1.78 dependent: set(process_input).
% 1.58/1.78 dependent: clear(print_kept).
% 1.58/1.78 dependent: clear(print_new_demod).
% 1.58/1.78 dependent: clear(print_back_demod).
% 1.58/1.78 dependent: clear(print_back_sub).
% 1.58/1.78 dependent: set(control_memory).
% 1.58/1.78 dependent: assign(max_mem, 12000).
% 1.58/1.78 dependent: assign(pick_given_ratio, 4).
% 1.58/1.78 dependent: assign(stats_level, 1).
% 1.58/1.78 dependent: assign(max_seconds, 10800).
% 1.58/1.78 clear(print_given).
% 1.58/1.78
% 1.58/1.78 list(usable).
% 1.58/1.78 0 [] -p_1_2.
% 1.58/1.78 0 [] p_1_2| -p_2_2| -p_1_1.
% 1.58/1.78 0 [] p_1_2| -q_2_2| -q_1_1.
% 1.58/1.78 0 [] q_1_2| -p_2_2| -q_1_1.
% 1.58/1.78 0 [] q_1_2| -q_2_2| -p_1_1.
% 1.58/1.78 0 [] p_1_1| -p_1_2.
% 1.58/1.78 0 [] q_1_1| -q_1_2.
% 1.58/1.78 0 [] p_2_2| -p_1_2.
% 1.58/1.78 0 [] q_2_2| -q_1_2.
% 1.58/1.78 0 [] p_1_1.
% 1.58/1.78 0 [] q_1_1.
% 1.58/1.78 0 [] p_2_2.
% 1.58/1.78 0 [] q_2_2.
% 1.58/1.78 end_of_list.
% 1.58/1.78
% 1.58/1.78 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.58/1.78
% 1.58/1.78 The clause set is propositional; the strategy will be
% 1.58/1.78 ordered hyperresolution with the propositional
% 1.58/1.78 optimizations, with satellites in sos and nuclei in usable.
% 1.58/1.78
% 1.58/1.78 dependent: set(hyper_res).
% 1.58/1.78 dependent: set(propositional).
% 1.58/1.78 dependent: set(sort_literals).
% 1.58/1.78
% 1.58/1.78 ------------> process usable:
% 1.58/1.78 ** KEPT (pick-wt=1): 1 [] -p_1_2.
% 1.58/1.78 ** KEPT (pick-wt=3): 3 [copy,2,propositional] -p_2_2| -p_1_1|p_1_2.
% 1.58/1.78 ** KEPT (pick-wt=3): 5 [copy,4,propositional] -q_2_2| -q_1_1|p_1_2.
% 1.58/1.78 ** KEPT (pick-wt=3): 7 [copy,6,propositional] -p_2_2| -q_1_1|q_1_2.
% 1.58/1.78 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -p_1_1| -q_2_2|q_1_2.
% 1.58/1.78 Following clause subsumed by 1 during input processing: 0 [propositional] -p_1_2|p_1_1.
% 1.58/1.78 Following clause subsumed by 0 during input processing: 0 [propositional] -q_1_2|q_1_1.
% 1.58/1.78 Following clause subsumed by 1 during input processing: 0 [propositional] -p_1_2|p_2_2.
% 1.58/1.78 Following clause subsumed by 0 during input processing: 0 [propositional] -q_1_2|q_2_2.
% 1.58/1.78
% 1.58/1.78 ------------> process sos:
% 1.58/1.78 ** KEPT (pick-wt=1): 10 [] p_1_1.
% 1.58/1.78 ** KEPT (pick-wt=1): 11 [] q_1_1.
% 1.58/1.78 ** KEPT (pick-wt=1): 12 [] p_2_2.
% 1.58/1.78 ** KEPT (pick-wt=1): 13 [] q_2_2.
% 1.58/1.78
% 1.58/1.78 ======= end of input processing =======
% 1.58/1.78
% 1.58/1.78 =========== start of search ===========
% 1.58/1.78
% 1.58/1.78 -------- PROOF --------
% 1.58/1.78
% 1.58/1.78 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,1.1] $F.
% 1.58/1.78
% 1.58/1.78 Length of proof is 2. Level of proof is 2.
% 1.58/1.78
% 1.58/1.78 ---------------- PROOF ----------------
% 1.58/1.78 % SZS status Unsatisfiable
% 1.58/1.78 % SZS output start Refutation
% See solution above
% 1.58/1.78 ------------ end of proof -------------
% 1.58/1.78
% 1.58/1.78
% 1.58/1.78 Search stopped by max_proofs option.
% 1.58/1.78
% 1.58/1.78
% 1.58/1.78 Search stopped by max_proofs option.
% 1.58/1.78
% 1.58/1.78 ============ end of search ============
% 1.58/1.78
% 1.58/1.78 -------------- statistics -------------
% 1.58/1.78 clauses given 3
% 1.58/1.78 clauses generated 2
% 1.58/1.78 clauses kept 11
% 1.58/1.78 clauses forward subsumed 4
% 1.58/1.78 clauses back subsumed 0
% 1.58/1.78 Kbytes malloced 976
% 1.58/1.78
% 1.58/1.78 ----------- times (seconds) -----------
% 1.58/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.78 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.58/1.78
% 1.58/1.78 That finishes the proof of the theorem.
% 1.58/1.78
% 1.58/1.78 Process 4474 finished Wed Jul 27 11:02:22 2022
% 1.58/1.78 Otter interrupted
% 1.58/1.78 PROOF FOUND
%------------------------------------------------------------------------------