TSTP Solution File: COM013+4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 : Fri Jul 15 01:43:29 EDT 2022

% Result   : Theorem 36.43s 36.65s
% Output   : Refutation 36.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 17:06:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox2 on n006.cluster.edu,
% 0.13/0.37  Thu Jun 16 17:06:41 2022
% 0.13/0.37  The command was "./sos".  The process ID is 16844.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.13/0.37  
% 0.13/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37  clauses in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 98 during input processing: 0 [copy,98,flip.1] {-} A=A.
% 0.13/0.37  98 back subsumes 66.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.19/0.43  
% 0.19/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.43  
% 0.19/0.43  Stopped by limit on number of solutions
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  -------------- Softie stats --------------
% 0.19/0.43  
% 0.19/0.43  UPDATE_STOP: 300
% 0.19/0.43  SFINDER_TIME_LIMIT: 2
% 0.19/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43  number of clauses in intial UL: 89
% 0.19/0.43  number of clauses initially in problem: 93
% 0.19/0.43  percentage of clauses intially in UL: 95
% 0.19/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.43  percent of all initial clauses that are short: 100
% 0.19/0.43  absolute distinct symbol count: 28
% 0.19/0.43     distinct predicate count: 11
% 0.19/0.43     distinct function count: 15
% 0.19/0.43     distinct constant count: 2
% 0.19/0.43  
% 0.19/0.43  ---------- no more Softie stats ----------
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.43  
% 0.19/0.43  Stopped by limit on number of solutions
% 0.19/0.43  
% 0.19/0.43  =========== start of search ===========
% 36.43/36.65  
% 36.43/36.65  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Model 3 [ 1 2 2370 ] (0.00 seconds, 250000 Inserts)
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Model 4 [ 1 1 7012 ] (0.00 seconds, 250000 Inserts)
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Model 5 [ 2 2 7684 ] (0.00 seconds, 250000 Inserts)
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  Model 6 [ 5 0 690 ] (0.00 seconds, 250000 Inserts)
% 36.43/36.65  
% 36.43/36.65  Stopped by limit on insertions
% 36.43/36.65  
% 36.43/36.65  -----> EMPTY CLAUSE at  36.22 sec ----> 2884 [hyper,1164,52,336,353] {-} $F.
% 36.43/36.65  
% 36.43/36.65  Length of proof is 9.  Level of proof is 6.
% 36.43/36.65  
% 36.43/36.65  ---------------- PROOF ----------------
% 36.43/36.65  % SZS status Theorem
% 36.43/36.65  % SZS output start Refutation
% 36.43/36.65  
% 36.43/36.65  1 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aReductOfIn0(C,A,B)|aElement0(C).
% 36.43/36.65  5 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aElement0(C)|sdtmndtplgtdt0(A,B,C)| -aReductOfIn0(C,A,B).
% 36.43/36.65  10 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aElement0(C)|sdtmndtasgtdt0(A,B,C)| -sdtmndtplgtdt0(A,B,C).
% 36.43/36.65  11 [] {+} -aElement0(A)| -aRewritingSystem0(B)| -aElement0(C)| -aElement0(D)| -sdtmndtasgtdt0(A,B,C)| -sdtmndtasgtdt0(C,B,D)|sdtmndtasgtdt0(A,B,D).
% 36.43/36.65  39 [] {+} -aElement0(A)| -aElement0(B)| -aReductOfIn0(B,A,xR)|iLess0(B,A).
% 36.43/36.65  42 [] {+} -aElement0(A)| -iLess0(A,$c1)|aElement0($f14(A)).
% 36.43/36.65  51 [] {+} -aElement0(A)| -iLess0(A,$c1)|sdtmndtasgtdt0(A,xR,$f14(A)).
% 36.43/36.65  52 [] {+} -aElement0(A)| -iLess0(A,$c1)| -aReductOfIn0(B,$f14(A),xR).
% 36.43/36.65  54 [] {+} -aElement0(A)|$c1!=A|aReductOfIn0($f15(A),A,xR).
% 36.43/36.65  58 [] {+} -aElement0(A)| -sdtmndtasgtdt0($c1,xR,A)|aReductOfIn0($f15(A),A,xR).
% 36.43/36.65  95 [] {+} aRewritingSystem0(xR).
% 36.43/36.65  97 [] {+} aElement0($c1).
% 36.43/36.65  98 [] {+} A=A.
% 36.43/36.65  114 [hyper,98,54,97] {+} aReductOfIn0($f15($c1),$c1,xR).
% 36.43/36.65  336 [hyper,114,1,97,95] {-} aElement0($f15($c1)).
% 36.43/36.65  353 [hyper,336,39,97,114] {+} iLess0($f15($c1),$c1).
% 36.43/36.65  384 [hyper,336,5,97,95,114] {-} sdtmndtplgtdt0($c1,xR,$f15($c1)).
% 36.43/36.65  390 [hyper,384,10,97,95,336] {+} sdtmndtasgtdt0($c1,xR,$f15($c1)).
% 36.43/36.65  396 [hyper,353,51,336] {+} sdtmndtasgtdt0($f15($c1),xR,$f14($f15($c1))).
% 36.43/36.65  401 [hyper,353,42,336] {+} aElement0($f14($f15($c1))).
% 36.43/36.65  1079 [hyper,396,11,97,95,336,401,390] {+} sdtmndtasgtdt0($c1,xR,$f14($f15($c1))).
% 36.43/36.65  1164 [hyper,1079,58,401] {+} aReductOfIn0($f15($f14($f15($c1))),$f14($f15($c1)),xR).
% 36.43/36.65  2884 [hyper,1164,52,336,353] {-} $F.
% 36.43/36.65  
% 36.43/36.65  % SZS output end Refutation
% 36.43/36.65  ------------ end of proof -------------
% 36.43/36.65  
% 36.43/36.65  
% 36.43/36.65  Search stopped by max_proofs option.
% 36.43/36.65  
% 36.43/36.65  
% 36.43/36.65  Search stopped by max_proofs option.
% 36.43/36.65  
% 36.43/36.65  ============ end of search ============
% 36.43/36.65  
% 36.43/36.65  ----------- soft-scott stats ----------
% 36.43/36.65  
% 36.43/36.65  true clauses given          49      (36.8%)
% 36.43/36.65  false clauses given         84
% 36.43/36.65  
% 36.43/36.65        FALSE     TRUE
% 36.43/36.65     9  0         3
% 36.43/36.65    10  0         1
% 36.43/36.65    11  15        7
% 36.43/36.65    12  34        10
% 36.43/36.65    13  62        8
% 36.43/36.65    14  61        20
% 36.43/36.65    15  71        17
% 36.43/36.65    16  70        31
% 36.43/36.65    17  88        36
% 36.43/36.65    18  80        60
% 36.43/36.65    19  64        86
% 36.43/36.65    20  67        62
% 36.43/36.65    21  42        85
% 36.43/36.65    22  37        93
% 36.43/36.65    23  31        99
% 36.43/36.65    24  7         73
% 36.43/36.65    25  4         77
% 36.43/36.65    26  15        68
% 36.43/36.65    27  7         88
% 36.43/36.65    28  0         111
% 36.43/36.65    29  3         99
% 36.43/36.65    30  4         106
% 36.43/36.65    31  0         91
% 36.43/36.65    32  9         99
% 36.43/36.65    33  8         34
% 36.43/36.65    34  3         90
% 36.43/36.65    35  16        40
% 36.43/36.65    36  2         67
% 36.43/36.65    37  8         39
% 36.43/36.65    38  14        23
% 36.43/36.65    39  0         24
% 36.43/36.65    40  7         5
% 36.43/36.65    41  4         4
% 36.43/36.65    42  0         2
% 36.43/36.65    43  2         1
% 36.43/36.65    46  0         6
% 36.43/36.65    48  0         1
% 36.43/36.65  tot:  835       1766      (67.9% true)
% 36.43/36.65  
% 36.43/36.65  
% 36.43/36.65  Model 6 [ 5 -256 690 ] (0.00 seconds, 250000 Inserts)
% 36.43/36.65  
% 36.43/36.65  That finishes the proof of the theorem.
% 36.43/36.65  
% 36.43/36.65  Process 16844 finished Thu Jun 16 17:07:17 2022
%------------------------------------------------------------------------------