TSTP Solution File: SET588+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 05:19:06 EDT 2022

% Result   : Theorem 2.27s 2.51s
% Output   : Refutation 2.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 20:59:22 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n005.cluster.edu,
% 0.13/0.35  Sat Jul  9 20:59:22 2022
% 0.13/0.35  The command was "./sos".  The process ID is 27821.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a non-Horn set without equality.  The strategy
% 0.13/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  -------------- Softie stats --------------
% 0.19/0.38  
% 0.19/0.38  UPDATE_STOP: 300
% 0.19/0.38  SFINDER_TIME_LIMIT: 2
% 0.19/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38  number of clauses in intial UL: 6
% 0.19/0.38  number of clauses initially in problem: 9
% 0.19/0.38  percentage of clauses intially in UL: 66
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 7
% 0.19/0.38     distinct predicate count: 2
% 0.19/0.38     distinct function count: 2
% 0.19/0.38     distinct constant count: 3
% 0.19/0.38  
% 0.19/0.38  ---------- no more Softie stats ----------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  =========== start of search ===========
% 2.27/2.51  
% 2.27/2.51  -------- PROOF -------- 
% 2.27/2.51  % SZS status Theorem
% 2.27/2.51  % SZS output start Refutation
% 2.27/2.51  
% 2.27/2.51  Stopped by limit on insertions
% 2.27/2.51  
% 2.27/2.51  Model 3 [ 1 0 163 ] (0.00 seconds, 250000 Inserts)
% 2.27/2.51  
% 2.27/2.51  Stopped by limit on insertions
% 2.27/2.51  
% 2.27/2.51  Model 4 [ 1 1 3970 ] (0.00 seconds, 250000 Inserts)
% 2.27/2.51  
% 2.27/2.51  -----> EMPTY CLAUSE at   2.14 sec ----> 751 [hyper,672,2,10] {-} $F.
% 2.27/2.51  
% 2.27/2.51  Length of proof is 5.  Level of proof is 5.
% 2.27/2.51  
% 2.27/2.51  ---------------- PROOF ----------------
% 2.27/2.51  % SZS status Theorem
% 2.27/2.51  % SZS output start Refutation
% 2.27/2.51  
% 2.27/2.51  1 [] {+} -member(A,difference(B,C))|member(A,B).
% 2.27/2.51  2 [] {+} -member(A,difference(B,C))| -member(A,C).
% 2.27/2.51  3 [] {+} member(A,difference(B,C))| -member(A,B)|member(A,C).
% 2.27/2.51  4 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 2.27/2.51  5 [] {+} subset(A,B)| -member($f1(A,B),B).
% 2.27/2.51  6 [] {+} -subset(difference($c3,$c1),difference($c2,$c1)).
% 2.27/2.51  7 [] {+} subset(A,B)|member($f1(A,B),A).
% 2.27/2.51  9 [] {+} subset($c3,$c2).
% 2.27/2.51  10 [hyper,7,6] {+} member($f1(difference($c3,$c1),difference($c2,$c1)),difference($c3,$c1)).
% 2.27/2.51  13 [hyper,10,1] {+} member($f1(difference($c3,$c1),difference($c2,$c1)),$c3).
% 2.27/2.51  14 [hyper,13,4,9] {-} member($f1(difference($c3,$c1),difference($c2,$c1)),$c2).
% 2.27/2.51  30 [hyper,14,3] {-} member($f1(difference($c3,$c1),difference($c2,$c1)),difference($c2,A))|member($f1(difference($c3,$c1),difference($c2,$c1)),A).
% 2.27/2.51  672 [hyper,30,5,unit_del,6] {-} member($f1(difference($c3,$c1),difference($c2,$c1)),$c1).
% 2.27/2.51  751 [hyper,672,2,10] {-} $F.
% 2.27/2.51  
% 2.27/2.51  % SZS output end Refutation
% 2.27/2.51  ------------ end of proof -------------
% 2.27/2.51  
% 2.27/2.51  
% 2.27/2.51  Search stopped by max_proofs option.
% 2.27/2.51  
% 2.27/2.51  
% 2.27/2.51  Search stopped by max_proofs option.
% 2.27/2.51  
% 2.27/2.51  ============ end of search ============
% 2.27/2.51  
% 2.27/2.51  ----------- soft-scott stats ----------
% 2.27/2.51  
% 2.27/2.51  true clauses given          28      (36.4%)
% 2.27/2.51  false clauses given         49
% 2.27/2.51  
% 2.27/2.51        FALSE     TRUE
% 2.27/2.51    10  0         1
% 2.27/2.51    11  6         4
% 2.27/2.51    12  1         11
% 2.27/2.51    13  8         6
% 2.27/2.51    14  40        8
% 2.27/2.51    15  7         8
% 2.27/2.51    16  27        14
% 2.27/2.51    17  43        6
% 2.27/2.51    18  17        14
% 2.27/2.51    19  28        4
% 2.27/2.51    20  13        16
% 2.27/2.51    21  21        6
% 2.27/2.51    22  9         20
% 2.27/2.51    23  3         7
% 2.27/2.51    24  14        16
% 2.27/2.51    25  3         12
% 2.27/2.51    26  7         10
% 2.27/2.51    27  8         23
% 2.27/2.51    28  0         6
% 2.27/2.51    29  3         20
% 2.27/2.51    30  1         4
% 2.27/2.51    31  3         19
% 2.27/2.51    32  0         5
% 2.27/2.51    33  5         19
% 2.27/2.51    34  0         6
% 2.27/2.51    35  1         6
% 2.27/2.51    36  0         10
% 2.27/2.51    38  0         5
% 2.27/2.51    39  0         1
% 2.27/2.51    40  0         4
% 2.27/2.51    42  0         3
% 2.27/2.51    44  0         1
% 2.27/2.51  tot:  268       295      (52.4% true)
% 2.27/2.51  
% 2.27/2.51  
% 2.27/2.51  Model 4 [ 1 1 3970 ] (0.00 seconds, 250000 Inserts)
% 2.27/2.51  
% 2.27/2.51  That finishes the proof of the theorem.
% 2.27/2.51  
% 2.27/2.51  Process 27821 finished Sat Jul  9 20:59:24 2022
%------------------------------------------------------------------------------