TSTP Solution File: SEU124+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n017.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 14:26:56 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n017.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 : Sun Jun 19 03:42:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox2 on n017.cluster.edu,
% 0.19/0.35  Sun Jun 19 03:42:58 2022
% 0.19/0.35  The command was "./sos".  The process ID is 30879.
% 0.19/0.35  
% 0.19/0.35  set(prolog_style_variables).
% 0.19/0.35  set(auto).
% 0.19/0.35     dependent: set(auto1).
% 0.19/0.35     dependent: set(process_input).
% 0.19/0.35     dependent: clear(print_kept).
% 0.19/0.35     dependent: clear(print_new_demod).
% 0.19/0.35     dependent: clear(print_back_demod).
% 0.19/0.35     dependent: clear(print_back_sub).
% 0.19/0.35     dependent: set(control_memory).
% 0.19/0.35     dependent: assign(max_mem, 12000).
% 0.19/0.35     dependent: assign(pick_given_ratio, 4).
% 0.19/0.35     dependent: assign(stats_level, 1).
% 0.19/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35     dependent: assign(sos_limit, 5000).
% 0.19/0.35     dependent: assign(max_weight, 60).
% 0.19/0.35  clear(print_given).
% 0.19/0.35  
% 0.19/0.35  formula_list(usable).
% 0.19/0.35  
% 0.19/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.19/0.35  
% 0.19/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.35  clauses in usable.
% 0.19/0.35  
% 0.19/0.35     dependent: set(knuth_bendix).
% 0.19/0.35     dependent: set(para_from).
% 0.19/0.35     dependent: set(para_into).
% 0.19/0.35     dependent: clear(para_from_right).
% 0.19/0.35     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] {-} set_union2(A,B)=set_union2(B,A).
% 0.19/0.36    Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] {-} A=A.
% 0.19/0.36  31 back subsumes 20.
% 0.19/0.36  
% 0.19/0.36  ======= 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: 18
% 0.19/0.38  number of clauses initially in problem: 33
% 0.19/0.38  percentage of clauses intially in UL: 54
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 91
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 12
% 0.19/0.38     distinct predicate count: 4
% 0.19/0.38     distinct function count: 3
% 0.19/0.38     distinct constant count: 5
% 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  =========== start of search ===========
% 0.19/0.51  
% 0.19/0.51  -------- PROOF -------- 
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  % SZS output start Refutation
% 0.19/0.51  
% 0.19/0.51  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.51  
% 0.19/0.51  Stopped by limit on number of solutions
% 0.19/0.51  
% 0.19/0.51  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.51  
% 0.19/0.51  Stopped by limit on number of solutions
% 0.19/0.51  
% 0.19/0.51  Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.51  
% 0.19/0.51  Stopped by limit on number of solutions
% 0.19/0.51  
% 0.19/0.51  Model 5 [ 1 1 426 ] (0.00 seconds, 65421 Inserts)
% 0.19/0.51  
% 0.19/0.51  ----> UNIT CONFLICT at   0.14 sec ----> 534 [binary,533.1,14.1] {-} $F.
% 0.19/0.51  
% 0.19/0.51  Length of proof is 3.  Level of proof is 3.
% 0.19/0.51  
% 0.19/0.51  ---------------- PROOF ----------------
% 0.19/0.51  % SZS status Theorem
% 0.19/0.51  % SZS output start Refutation
% 0.19/0.51  
% 0.19/0.51  4 [] {+} A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 0.19/0.51  8 [] {+} subset(A,B)| -in($f2(A,B),B).
% 0.19/0.51  14 [] {+} -subset($c4,set_union2($c4,$c3)).
% 0.19/0.51  21 [] {+} set_union2(A,B)=set_union2(B,A).
% 0.19/0.51  23 [] {-} subset(A,B)|in($f2(A,B),A).
% 0.19/0.51  254 [hyper,23,14] {-} in($f2($c4,set_union2($c4,$c3)),$c4).
% 0.19/0.51  281 [hyper,254,4,21] {-} in($f2($c4,set_union2($c4,$c3)),set_union2($c4,A)).
% 0.19/0.51  533 [hyper,281,8] {-} subset($c4,set_union2($c4,$c3)).
% 0.19/0.51  534 [binary,533.1,14.1] {-} $F.
% 0.19/0.51  
% 0.19/0.51  % SZS output end Refutation
% 0.19/0.51  ------------ end of proof -------------
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  Search stopped by max_proofs option.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  Search stopped by max_proofs option.
% 0.19/0.51  
% 0.19/0.51  ============ end of search ============
% 0.19/0.51  
% 0.19/0.51  ----------- soft-scott stats ----------
% 0.19/0.51  
% 0.19/0.51  true clauses given           5      (33.3%)
% 0.19/0.51  false clauses given         10
% 0.19/0.51  
% 0.19/0.51        FALSE     TRUE
% 0.19/0.51     5  0         7
% 0.19/0.51     6  0         2
% 0.19/0.51     7  0         1
% 0.19/0.51     8  0         3
% 0.19/0.51     9  2         7
% 0.19/0.51    10  0         2
% 0.19/0.51    11  9         21
% 0.19/0.51    12  2         1
% 0.19/0.51    13  2         14
% 0.19/0.51    14  4         4
% 0.19/0.51    15  8         12
% 0.19/0.51    16  4         6
% 0.19/0.51    17  16        10
% 0.19/0.51    18  0         2
% 0.19/0.51    19  14        9
% 0.19/0.51    20  1         0
% 0.19/0.51    21  26        29
% 0.19/0.51    22  11        3
% 0.19/0.51    23  26        8
% 0.19/0.51    24  1         1
% 0.19/0.51    25  26        5
% 0.19/0.51    26  2         2
% 0.19/0.51    27  20        5
% 0.19/0.51    28  3         0
% 0.19/0.51    29  13        12
% 0.19/0.52    30  0         4
% 0.19/0.52    31  22        1
% 0.19/0.52    32  4         4
% 0.19/0.52    33  6         0
% 0.19/0.52    34  5         1
% 0.19/0.52    35  8         9
% 0.19/0.52    37  6         0
% 0.19/0.52    38  3         0
% 0.19/0.52    39  5         0
% 0.19/0.52    40  6         6
% 0.19/0.52    41  8         0
% 0.19/0.52    43  8         0
% 0.19/0.52    44  3         0
% 0.19/0.52    46  6         12
% 0.19/0.52    52  9         0
% 0.19/0.52  tot:  289       203      (41.3% true)
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  Model 5 [ 1 1 426 ] (0.00 seconds, 65421 Inserts)
% 0.19/0.52  
% 0.19/0.52  That finishes the proof of the theorem.
% 0.19/0.52  
% 0.19/0.52  Process 30879 finished Sun Jun 19 03:42:58 2022
%------------------------------------------------------------------------------