TSTP Solution File: SET009+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n014.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 05:14:02 EDT 2022

% Result   : Theorem 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 09:56:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n014.cluster.edu,
% 0.12/0.36  Mon Jul 11 09:56:49 2022
% 0.12/0.36  The command was "./sos".  The process ID is 3415.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This is a non-Horn set without equality.  The strategy
% 0.12/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.12/0.40  
% 0.12/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.40  
% 0.12/0.40  Stopped by limit on number of solutions
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  -------------- Softie stats --------------
% 0.12/0.40  
% 0.12/0.40  UPDATE_STOP: 300
% 0.12/0.40  SFINDER_TIME_LIMIT: 2
% 0.12/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.40  number of clauses in intial UL: 6
% 0.12/0.40  number of clauses initially in problem: 9
% 0.12/0.40  percentage of clauses intially in UL: 66
% 0.12/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.40  percent of all initial clauses that are short: 100
% 0.12/0.40  absolute distinct symbol count: 7
% 0.12/0.40     distinct predicate count: 2
% 0.12/0.40     distinct function count: 2
% 0.12/0.40     distinct constant count: 3
% 0.12/0.40  
% 0.12/0.40  ---------- no more Softie stats ----------
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.40  
% 0.12/0.40  Stopped by limit on number of solutions
% 0.12/0.40  
% 0.12/0.40  =========== start of search ===========
% 0.61/0.85  
% 0.61/0.85  -------- PROOF -------- 
% 0.61/0.85  % SZS status Theorem
% 0.61/0.85  % SZS output start Refutation
% 0.61/0.85  
% 0.61/0.85  Stopped by limit on insertions
% 0.61/0.85  
% 0.61/0.85  Model 3 [ 1 0 126 ] (0.00 seconds, 250000 Inserts)
% 0.61/0.85  
% 0.61/0.85  Stopped by limit on insertions
% 0.61/0.85  
% 0.61/0.85  Model 4 [ 1 0 67 ] (0.00 seconds, 250000 Inserts)
% 0.61/0.85  
% 0.61/0.85  ----> UNIT CONFLICT at   0.47 sec ----> 172 [binary,171.1,6.1] {-} $F.
% 0.61/0.85  
% 0.61/0.85  Length of proof is 8.  Level of proof is 6.
% 0.61/0.85  
% 0.61/0.85  ---------------- PROOF ----------------
% 0.61/0.85  % SZS status Theorem
% 0.61/0.85  % SZS output start Refutation
% 0.61/0.85  
% 0.61/0.85  1 [] {+} -member(A,difference(B,C))|member(A,B).
% 0.61/0.85  2 [] {+} -member(A,difference(B,C))| -member(A,C).
% 0.61/0.85  3 [] {+} member(A,difference(B,C))| -member(A,B)|member(A,C).
% 0.61/0.85  4 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 0.61/0.85  5 [] {+} subset(A,B)| -member($f1(A,B),B).
% 0.61/0.85  6 [] {+} -subset(difference($c1,$c2),difference($c1,$c3)).
% 0.61/0.85  7 [] {+} subset(A,B)|member($f1(A,B),A).
% 0.61/0.85  9 [] {+} subset($c3,$c2).
% 0.61/0.85  10 [hyper,7,6] {+} member($f1(difference($c1,$c2),difference($c1,$c3)),difference($c1,$c2)).
% 0.61/0.85  12 [hyper,10,3] {+} member($f1(difference($c1,$c2),difference($c1,$c3)),difference(difference($c1,$c2),A))|member($f1(difference($c1,$c2),difference($c1,$c3)),A).
% 0.61/0.85  13 [hyper,10,1] {+} member($f1(difference($c1,$c2),difference($c1,$c3)),$c1).
% 0.61/0.85  15 [hyper,13,3] {+} member($f1(difference($c1,$c2),difference($c1,$c3)),difference($c1,A))|member($f1(difference($c1,$c2),difference($c1,$c3)),A).
% 0.61/0.85  44 [hyper,12,4,9] {-} member($f1(difference($c1,$c2),difference($c1,$c3)),difference(difference($c1,$c2),$c3))|member($f1(difference($c1,$c2),difference($c1,$c3)),$c2).
% 0.61/0.85  69 [hyper,44,2,10] {-} member($f1(difference($c1,$c2),difference($c1,$c3)),difference(difference($c1,$c2),$c3)).
% 0.61/0.85  153 [hyper,15,2,69] {-} member($f1(difference($c1,$c2),difference($c1,$c3)),difference($c1,$c3)).
% 0.61/0.85  171 [hyper,153,5] {-} subset(difference($c1,$c2),difference($c1,$c3)).
% 0.61/0.85  172 [binary,171.1,6.1] {-} $F.
% 0.61/0.85  
% 0.61/0.85  % SZS output end Refutation
% 0.61/0.85  ------------ end of proof -------------
% 0.61/0.85  
% 0.61/0.85  
% 0.61/0.85  Search stopped by max_proofs option.
% 0.61/0.85  
% 0.61/0.85  
% 0.61/0.85  Search stopped by max_proofs option.
% 0.61/0.85  
% 0.61/0.85  ============ end of search ============
% 0.61/0.85  
% 0.61/0.85  ----------- soft-scott stats ----------
% 0.61/0.85  
% 0.61/0.85  true clauses given          12      (54.5%)
% 0.61/0.85  false clauses given         10
% 0.61/0.85  
% 0.61/0.85        FALSE     TRUE
% 0.61/0.85     5  0         1
% 0.61/0.85     7  0         2
% 0.61/0.85     9  0         3
% 0.61/0.85    10  0         1
% 0.61/0.85    11  0         3
% 0.61/0.85    12  0         2
% 0.61/0.85    13  0         4
% 0.61/0.85    14  0         2
% 0.61/0.85    15  2         4
% 0.61/0.85    16  0         6
% 0.61/0.85    17  2         4
% 0.61/0.85    18  0         7
% 0.61/0.85    19  1         3
% 0.61/0.85    20  0         9
% 0.61/0.85    21  0         3
% 0.61/0.85    22  2         8
% 0.61/0.85    23  1         1
% 0.61/0.85    24  4         10
% 0.61/0.85    25  2         3
% 0.61/0.85    26  3         4
% 0.61/0.85    27  1         3
% 0.61/0.85    28  4         3
% 0.61/0.85    29  0         1
% 0.61/0.85    30  1         0
% 0.61/0.85    31  1         3
% 0.61/0.85    33  2         2
% 0.61/0.85    34  1         0
% 0.61/0.85  tot:  27        92      (77.3% true)
% 0.61/0.85  
% 0.61/0.85  
% 0.61/0.85  Model 4 [ 1 0 67 ] (0.00 seconds, 250000 Inserts)
% 0.61/0.85  
% 0.61/0.85  That finishes the proof of the theorem.
% 0.61/0.85  
% 0.61/0.85  Process 3415 finished Mon Jul 11 09:56:50 2022
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