TSTP Solution File: SEU189+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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  : 600s
% DateTime : Tue Jul 19 14:27:33 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.14/0.33  % Computer : n004.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Mon Jun 20 11:15:53 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  ----- Otter 3.2, August 2001 -----
% 0.14/0.35  The process was started by sandbox2 on n004.cluster.edu,
% 0.14/0.35  Mon Jun 20 11:15:53 2022
% 0.14/0.35  The command was "./sos".  The process ID is 388.
% 0.14/0.35  
% 0.14/0.35  set(prolog_style_variables).
% 0.14/0.35  set(auto).
% 0.14/0.35     dependent: set(auto1).
% 0.14/0.35     dependent: set(process_input).
% 0.14/0.35     dependent: clear(print_kept).
% 0.14/0.35     dependent: clear(print_new_demod).
% 0.14/0.35     dependent: clear(print_back_demod).
% 0.14/0.35     dependent: clear(print_back_sub).
% 0.14/0.35     dependent: set(control_memory).
% 0.14/0.35     dependent: assign(max_mem, 12000).
% 0.14/0.35     dependent: assign(pick_given_ratio, 4).
% 0.14/0.35     dependent: assign(stats_level, 1).
% 0.14/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.35     dependent: assign(sos_limit, 5000).
% 0.14/0.35     dependent: assign(max_weight, 60).
% 0.14/0.35  clear(print_given).
% 0.14/0.35  
% 0.14/0.35  formula_list(usable).
% 0.14/0.35  
% 0.14/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.14/0.35  
% 0.14/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.35  clauses in usable.
% 0.14/0.35  
% 0.14/0.35     dependent: set(knuth_bendix).
% 0.14/0.35     dependent: set(para_from).
% 0.14/0.35     dependent: set(para_into).
% 0.14/0.35     dependent: clear(para_from_right).
% 0.14/0.35     dependent: clear(para_into_right).
% 0.14/0.35     dependent: set(para_from_vars).
% 0.14/0.35     dependent: set(eq_units_both_ways).
% 0.14/0.35     dependent: set(dynamic_demod_all).
% 0.14/0.35     dependent: set(dynamic_demod).
% 0.14/0.35     dependent: set(order_eq).
% 0.14/0.35     dependent: set(back_demod).
% 0.14/0.35     dependent: set(lrpo).
% 0.14/0.35     dependent: set(hyper_res).
% 0.14/0.35     dependent: set(unit_deletion).
% 0.14/0.35     dependent: set(factor).
% 0.14/0.35  
% 0.14/0.35  ------------> process usable:
% 0.14/0.35  
% 0.14/0.35  ------------> process sos:
% 0.14/0.35    Following clause subsumed by 26 during input processing: 0 [] {-} empty(empty_set).
% 0.14/0.35    Following clause subsumed by 34 during input processing: 0 [copy,34,flip.1] {-} A=A.
% 0.14/0.35  34 back subsumes 20.
% 0.14/0.35  
% 0.14/0.35  ======= end of input processing =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 19
% 0.14/0.39  number of clauses initially in problem: 33
% 0.14/0.39  percentage of clauses intially in UL: 57
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 78
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 14
% 0.14/0.39     distinct predicate count: 5
% 0.14/0.39     distinct function count: 3
% 0.14/0.39     distinct constant count: 6
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 0.20/0.42  
% 0.20/0.42  -------- PROOF -------- 
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  % SZS output start Refutation
% 0.20/0.42  
% 0.20/0.42  Model 3 (0.00 seconds, 0 Inserts)
% 0.20/0.42  
% 0.20/0.42  Stopped by limit on number of solutions
% 0.20/0.42  
% 0.20/0.42  Model 4 (0.00 seconds, 0 Inserts)
% 0.20/0.42  
% 0.20/0.42  Stopped by limit on number of solutions
% 0.20/0.42  
% 0.20/0.42  -----> EMPTY CLAUSE at   0.03 sec ----> 72 [back_demod,56,demod,71,52,71,50,unit_del,34,34] {-} $F.
% 0.20/0.42  
% 0.20/0.42  Length of proof is 8.  Level of proof is 5.
% 0.20/0.42  
% 0.20/0.42  ---------------- PROOF ----------------
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  % SZS output start Refutation
% 0.20/0.42  
% 0.20/0.42  6 [] {+} empty(A)| -relation(A)| -empty(relation_dom(A)).
% 0.20/0.42  7 [] {+} empty(A)| -relation(A)| -empty(relation_rng(A)).
% 0.20/0.42  14 [] {+} -empty(A)|A=B| -empty(B).
% 0.20/0.42  15 [] {+} -empty(A)|A=empty_set.
% 0.20/0.42  16 [] {+} relation_dom($c5)!=empty_set|relation_rng($c5)!=empty_set.
% 0.20/0.42  22 [] {+} empty($c1).
% 0.20/0.42  28 [] {+} relation($c5).
% 0.20/0.42  29 [] {+} relation_dom($c5)=empty_set|relation_rng($c5)=empty_set.
% 0.20/0.42  30 [] {+} relation_dom(empty_set)=empty_set.
% 0.20/0.42  32 [] {+} relation_rng(empty_set)=empty_set.
% 0.20/0.42  34 [] {+} A=A.
% 0.20/0.42  41,40 [hyper,22,15,flip.1] {+} empty_set=$c1.
% 0.20/0.42  50,49 [back_demod,32,demod,41,41] {+} relation_rng($c1)=$c1.
% 0.20/0.42  52,51 [back_demod,30,demod,41,41] {+} relation_dom($c1)=$c1.
% 0.20/0.42  53 [back_demod,29,demod,41,41] {-} relation_dom($c5)=$c1|relation_rng($c5)=$c1.
% 0.20/0.42  56 [back_demod,16,demod,41,41] {+} relation_dom($c5)!=$c1|relation_rng($c5)!=$c1.
% 0.20/0.42  63 [para_from,53.2.1,7.3.1,unit_del,28,22] {-} empty($c5)|relation_dom($c5)=$c1.
% 0.20/0.42  69 [para_from,63.2.1,6.3.1,unit_del,28,22,factor_simp] {-} empty($c5).
% 0.20/0.42  71,70 [hyper,69,14,22,flip.1] {-} $c5=$c1.
% 0.20/0.42  72 [back_demod,56,demod,71,52,71,50,unit_del,34,34] {-} $F.
% 0.20/0.42  
% 0.20/0.42  % SZS output end Refutation
% 0.20/0.42  ------------ end of proof -------------
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Search stopped by max_proofs option.
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Search stopped by max_proofs option.
% 0.20/0.42  
% 0.20/0.42  ============ end of search ============
% 0.20/0.42  
% 0.20/0.42  ----------- soft-scott stats ----------
% 0.20/0.42  
% 0.20/0.42  true clauses given           2      (25.0%)
% 0.20/0.42  false clauses given          6
% 0.20/0.42  
% 0.20/0.42        FALSE     TRUE
% 0.20/0.42     2  0         3
% 0.20/0.42     3  0         7
% 0.20/0.42     4  0         4
% 0.20/0.42     5  0         2
% 0.20/0.42     6  0         3
% 0.20/0.42     7  3         2
% 0.20/0.42     8  0         3
% 0.20/0.42     9  0         2
% 0.20/0.42    11  0         4
% 0.20/0.42    12  0         2
% 0.20/0.42  tot:  3         32      (91.4% true)
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Model 4 (0.00 seconds, 0 Inserts)
% 0.20/0.42  
% 0.20/0.42  That finishes the proof of the theorem.
% 0.20/0.42  
% 0.20/0.42  Process 388 finished Mon Jun 20 11:15:53 2022
%------------------------------------------------------------------------------