TSTP Solution File: KRS120+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 : Sun Jul 17 03:29:49 EDT 2022

% Result   : Unsatisfiable 1.02s 1.22s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 17:14:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n025.cluster.edu,
% 0.12/0.35  Tue Jun  7 17:14:04 2022
% 0.12/0.35  The command was "./sos".  The process ID is 3206.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  formula_list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.12/0.35  
% 0.12/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35  clauses in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  20 back subsumes 4.
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  42 back subsumes 5.
% 0.12/0.35    Following clause subsumed by 46 during input processing: 0 [copy,46,flip.1] {-} A=A.
% 0.12/0.35  46 back subsumes 41.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.39  
% 0.12/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  -------------- Softie stats --------------
% 0.12/0.39  
% 0.12/0.39  UPDATE_STOP: 300
% 0.12/0.39  SFINDER_TIME_LIMIT: 2
% 0.12/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39  number of clauses in intial UL: 38
% 0.12/0.39  number of clauses initially in problem: 43
% 0.12/0.39  percentage of clauses intially in UL: 88
% 0.12/0.39  percentage of distinct symbols occuring in initial UL: 90
% 0.12/0.39  percent of all initial clauses that are short: 100
% 0.12/0.39  absolute distinct symbol count: 21
% 0.12/0.39     distinct predicate count: 15
% 0.12/0.39     distinct function count: 5
% 0.12/0.39     distinct constant count: 1
% 0.12/0.39  
% 0.12/0.39  ---------- no more Softie stats ----------
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  =========== start of search ===========
% 1.02/1.22  
% 1.02/1.22  -------- PROOF -------- 
% 1.02/1.22  % SZS status Theorem
% 1.02/1.22  % SZS output start Refutation
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 3 [ 1 1 382 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Model 4 [ 1 0 131 ] (0.00 seconds, 214741 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 5 [ 1 0 652 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 6 [ 3 1 571 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 7 [ 2 1 198 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 8 [ 2 0 140 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 9 [ 3 1 348 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  Stopped by limit on insertions
% 1.02/1.22  
% 1.02/1.22  Model 10 [ 5 1 140 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  -----> EMPTY CLAUSE at   0.85 sec ----> 662 [hyper,584,25,54] {-} $F.
% 1.02/1.22  
% 1.02/1.22  Length of proof is 10.  Level of proof is 5.
% 1.02/1.22  
% 1.02/1.22  ---------------- PROOF ----------------
% 1.02/1.22  % SZS status Theorem
% 1.02/1.22  % SZS output start Refutation
% 1.02/1.22  
% 1.02/1.22  23 [] {+} -cUnsatisfiable(A)|ca_Ax2($f1(A)).
% 1.02/1.22  25 [] {+} -cp1(A)| -ra_Px1(A,B).
% 1.02/1.22  26 [] {+} -cp1xcomp(A)|ra_Px1(A,$f3(A)).
% 1.02/1.22  28 [] {+} -ca_Ax2(A)|rinvF(A,$f4(A)).
% 1.02/1.22  29 [] {+} -ca_Ax2(A)|ca_Vx3($f4(A)).
% 1.02/1.22  30 [] {+} -ca_Ax2(A)|cp1(A).
% 1.02/1.22  32 [] {+} -ca_Vx3(A)|rf(A,$f5(A)).
% 1.02/1.22  33 [] {+} -ca_Vx3(A)|cp1xcomp($f5(A)).
% 1.02/1.22  35 [] {+} -cowlThing(A)| -rf(A,B)| -rf(A,C)|B=C.
% 1.02/1.22  36 [] {+} -rinvF(A,B)|rf(B,A).
% 1.02/1.22  42 [] {+} cowlThing(A).
% 1.02/1.22  45 [] {+} cUnsatisfiable(i2003_11_14_17_21_48796).
% 1.02/1.22  47 [hyper,45,23] {+} ca_Ax2($f1(i2003_11_14_17_21_48796)).
% 1.02/1.22  54 [hyper,47,30] {+} cp1($f1(i2003_11_14_17_21_48796)).
% 1.02/1.22  55 [hyper,47,29] {+} ca_Vx3($f4($f1(i2003_11_14_17_21_48796))).
% 1.02/1.22  56 [hyper,47,28] {+} rinvF($f1(i2003_11_14_17_21_48796),$f4($f1(i2003_11_14_17_21_48796))).
% 1.02/1.22  94 [hyper,55,33] {+} cp1xcomp($f5($f4($f1(i2003_11_14_17_21_48796)))).
% 1.02/1.22  95 [hyper,55,32] {+} rf($f4($f1(i2003_11_14_17_21_48796)),$f5($f4($f1(i2003_11_14_17_21_48796)))).
% 1.02/1.22  191 [hyper,56,36] {+} rf($f4($f1(i2003_11_14_17_21_48796)),$f1(i2003_11_14_17_21_48796)).
% 1.02/1.22  220 [hyper,94,26] {-} ra_Px1($f5($f4($f1(i2003_11_14_17_21_48796))),$f3($f5($f4($f1(i2003_11_14_17_21_48796))))).
% 1.02/1.22  581,580 [hyper,95,35,42,191,flip.1] {-} $f5($f4($f1(i2003_11_14_17_21_48796)))=$f1(i2003_11_14_17_21_48796).
% 1.02/1.22  584 [back_demod,220,demod,581,581] {-} ra_Px1($f1(i2003_11_14_17_21_48796),$f3($f1(i2003_11_14_17_21_48796))).
% 1.02/1.22  662 [hyper,584,25,54] {-} $F.
% 1.02/1.22  
% 1.02/1.22  % SZS output end Refutation
% 1.02/1.22  ------------ end of proof -------------
% 1.02/1.22  
% 1.02/1.22  
% 1.02/1.22  Search stopped by max_proofs option.
% 1.02/1.22  
% 1.02/1.22  
% 1.02/1.22  Search stopped by max_proofs option.
% 1.02/1.22  
% 1.02/1.22  ============ end of search ============
% 1.02/1.22  
% 1.02/1.22  ----------- soft-scott stats ----------
% 1.02/1.22  
% 1.02/1.22  true clauses given          28      (35.4%)
% 1.02/1.22  false clauses given         51
% 1.02/1.22  
% 1.02/1.22        FALSE     TRUE
% 1.02/1.22     4  0         2
% 1.02/1.22     5  0         2
% 1.02/1.22     6  1         10
% 1.02/1.22     7  1         4
% 1.02/1.22     8  1         6
% 1.02/1.22     9  6         1
% 1.02/1.22    10  6         7
% 1.02/1.22    11  9         8
% 1.02/1.22    12  5         9
% 1.02/1.22    13  1         15
% 1.02/1.22    14  1         22
% 1.02/1.22    15  17        33
% 1.02/1.22    16  12        28
% 1.02/1.22    17  31        34
% 1.02/1.22    18  43        41
% 1.02/1.22    19  24        19
% 1.02/1.22    20  26        23
% 1.02/1.22    21  10        15
% 1.02/1.22    22  5         2
% 1.02/1.22    23  3         0
% 1.02/1.22    24  1         22
% 1.02/1.22    25  0         2
% 1.02/1.22    27  1         2
% 1.02/1.22    30  1         0
% 1.02/1.22  tot:  205       307      (60.0% true)
% 1.02/1.22  
% 1.02/1.22  
% 1.02/1.22  Model 10 [ 5 1 140 ] (0.00 seconds, 250000 Inserts)
% 1.02/1.22  
% 1.02/1.22  That finishes the proof of the theorem.
% 1.02/1.22  
% 1.02/1.22  Process 3206 finished Tue Jun  7 17:14:05 2022
%------------------------------------------------------------------------------