TSTP Solution File: MGT058+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 22:26:04 EDT 2022

% Result   : Theorem 0.91s 1.15s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n021.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  9 12:12:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n021.cluster.edu,
% 0.19/0.36  Thu Jun  9 12:12:23 2022
% 0.19/0.36  The command was "./sos".  The process ID is 13866.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  formula_list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     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 30 during input processing: 0 [copy,30,flip.1] {-} A=A.
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 17
% 0.19/0.39  number of clauses initially in problem: 30
% 0.19/0.39  percentage of clauses intially in UL: 56
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 76
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 17
% 0.19/0.39     distinct predicate count: 9
% 0.19/0.39     distinct function count: 3
% 0.19/0.39     distinct constant count: 5
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 0.91/1.15  
% 0.91/1.15  -------- PROOF -------- 
% 0.91/1.15  % SZS status Theorem
% 0.91/1.15  % SZS output start Refutation
% 0.91/1.15  
% 0.91/1.15  Model 2 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 3 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 4 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 5 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 6 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 7 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Model 8 (0.00 seconds, 0 Inserts)
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on number of solutions
% 0.91/1.15  
% 0.91/1.15  Stopped by limit on insertions
% 0.91/1.15  
% 0.91/1.15  Model 9 [ 1 1 591 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.15  
% 0.91/1.15  ----> UNIT CONFLICT at   0.77 sec ----> 2607 [binary,2606.1,2592.1] {-} $F.
% 0.91/1.15  
% 0.91/1.15  Length of proof is 26.  Level of proof is 13.
% 0.91/1.15  
% 0.91/1.15  ---------------- PROOF ----------------
% 0.91/1.15  % SZS status Theorem
% 0.91/1.15  % SZS output start Refutation
% 0.91/1.15  
% 0.91/1.15  2 [] {+} smaller_or_equal(A,B)| -smaller(A,B).
% 0.91/1.15  3 [] {+} smaller_or_equal(A,B)|A!=B.
% 0.91/1.15  4 [] {+} -greater_or_equal(A,B)|greater(A,B)|A=B.
% 0.91/1.15  6 [] {+} greater_or_equal(A,B)|A!=B.
% 0.91/1.15  7 [] {+} -smaller(A,B)|greater(B,A).
% 0.91/1.15  8 [] {+} smaller(A,B)| -greater(B,A).
% 0.91/1.15  9 [] {+} -greater(A,B)| -greater(B,A).
% 0.91/1.15  10 [] {+} -greater(A,B)| -greater(B,C)|greater(A,C).
% 0.91/1.15  11 [] {+} -fragile_position(A)| -smaller_or_equal(age(A,B),sigma)|positional_advantage(A,B).
% 0.91/1.15  14 [] {+} -robust_position(A)| -smaller_or_equal(age(A,B),tau)| -positional_advantage(A,B).
% 0.91/1.15  17 [factor,9.1.2] {+} -greater(A,A).
% 0.91/1.15  18 [] {+} smaller(A,B)|A=B|greater(A,B).
% 0.91/1.15  25,24 [] {-} age($c2,$c1)=zero.
% 0.91/1.15  26 [] {+} greater_or_equal(sigma,zero).
% 0.91/1.15  27 [] {+} greater_or_equal(tau,zero).
% 0.91/1.15  28 [] {+} fragile_position($c2).
% 0.91/1.15  29 [] {+} robust_position($c2).
% 0.91/1.15  30 [] {+} A=A.
% 0.91/1.15  31 [hyper,18,7] {+} A=B|greater(A,B)|greater(B,A).
% 0.91/1.15  32 [hyper,18,2] {+} A=B|greater(A,B)|smaller_or_equal(A,B).
% 0.91/1.15  58 [hyper,26,4,flip.2] {+} greater(sigma,zero)|zero=sigma.
% 0.91/1.15  91 [para_into,24.1.1.2,4.3.1] {-} age($c2,A)=zero| -greater_or_equal($c1,A)|greater($c1,A).
% 0.91/1.15  97 [para_from,24.1.1,14.2.1,unit_del,29] {+} -smaller_or_equal(zero,tau)| -positional_advantage($c2,$c1).
% 0.91/1.15  99 [para_from,24.1.1,11.2.1,unit_del,28] {-} -smaller_or_equal(zero,sigma)|positional_advantage($c2,$c1).
% 0.91/1.15  112 [hyper,27,4,flip.2] {+} greater(tau,zero)|zero=tau.
% 0.91/1.15  163 [hyper,30,6] {+} greater_or_equal(A,A).
% 0.91/1.15  164 [hyper,30,3] {+} smaller_or_equal(A,A).
% 0.91/1.15  222 [para_from,91.1.1,14.2.1,unit_del,29] {-} -smaller_or_equal(zero,tau)| -positional_advantage($c2,A)| -greater_or_equal($c1,A)|greater($c1,A).
% 0.91/1.15  374 [para_from,31.1.1,99.1.1] {-} -smaller_or_equal(A,sigma)|positional_advantage($c2,$c1)|greater(zero,A)|greater(A,zero).
% 0.91/1.15  520 [para_from,58.2.1,99.1.1,unit_del,164] {-} positional_advantage($c2,$c1)|greater(sigma,zero).
% 0.91/1.15  540 [hyper,32,14,29,520,demod,25,25] {-} zero=tau|greater(zero,tau)|greater(sigma,zero).
% 0.91/1.15  675 [para_into,540.2.1,58.2.1,factor_simp] {-} zero=tau|greater(sigma,tau)|greater(sigma,zero).
% 0.91/1.15  1200 [hyper,112,10,675,factor_simp,factor_simp] {-} zero=tau|greater(sigma,zero).
% 0.91/1.15  1209 [hyper,112,8] {+} zero=tau|smaller(zero,tau).
% 0.91/1.15  1268 [para_from,1200.1.1,97.1.1,unit_del,164] {+} -positional_advantage($c2,$c1)|greater(sigma,zero).
% 0.91/1.15  2366 [hyper,1268,520,factor_simp] {+} greater(sigma,zero).
% 0.91/1.15  2375 [hyper,2366,8] {+} smaller(zero,sigma).
% 0.91/1.15  2437 [hyper,2375,2] {+} smaller_or_equal(zero,sigma).
% 0.91/1.15  2548 [hyper,2437,374,unit_del,17,17] {-} positional_advantage($c2,$c1).
% 0.91/1.15  2580 [para_into,222.3.1,31.1.1] {-} -smaller_or_equal(zero,tau)| -positional_advantage($c2,A)| -greater_or_equal(B,A)|greater($c1,A)|greater($c1,B)|greater(B,$c1).
% 0.91/1.15  2592 [factor,2580.4.6,unit_del,2548,163,17,17] {+} -smaller_or_equal(zero,tau).
% 0.91/1.15  2594 [para_into,2592.1.1,1209.1.1,unit_del,164] {+} smaller(zero,tau).
% 0.91/1.15  2606 [hyper,2594,2] {-} smaller_or_equal(zero,tau).
% 0.91/1.15  2607 [binary,2606.1,2592.1] {-} $F.
% 0.91/1.15  
% 0.91/1.15  % SZS output end Refutation
% 0.91/1.15  ------------ end of proof -------------
% 0.91/1.15  
% 0.91/1.15  
% 0.91/1.15  Search stopped by max_proofs option.
% 0.91/1.15  
% 0.91/1.15  
% 0.91/1.15  Search stopped by max_proofs option.
% 0.91/1.15  
% 0.91/1.15  ============ end of search ============
% 0.91/1.15  
% 0.91/1.15  ----------- soft-scott stats ----------
% 0.91/1.15  
% 0.91/1.15  true clauses given          35      (35.0%)
% 0.91/1.15  false clauses given         65
% 0.91/1.15  
% 0.91/1.15        FALSE     TRUE
% 0.91/1.15     3  1         1
% 0.91/1.15     6  1         1
% 0.91/1.15     8  0         14
% 0.91/1.15     9  12        62
% 0.91/1.15    11  0         15
% 0.91/1.15    12  2         87
% 0.91/1.15    13  0         3
% 0.91/1.15    14  1         19
% 0.91/1.15    15  0         22
% 0.91/1.15    16  0         12
% 0.91/1.15    17  104       46
% 0.91/1.15    18  127       86
% 0.91/1.15    19  50        54
% 0.91/1.15    20  1         33
% 0.91/1.15    21  6         37
% 0.91/1.15    22  0         55
% 0.91/1.15    23  0         25
% 0.91/1.15    24  0         55
% 0.91/1.15    25  0         42
% 0.91/1.15    26  0         73
% 0.91/1.15    27  0         55
% 0.91/1.15    28  0         43
% 0.91/1.15    29  0         10
% 0.91/1.15    30  2         24
% 0.91/1.15    31  2         7
% 0.91/1.15    33  0         8
% 0.91/1.15  tot:  309       889      (74.2% true)
% 0.91/1.15  
% 0.91/1.15  
% 0.91/1.15  Model 9 [ 1 1 591 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.15  
% 0.91/1.15  That finishes the proof of the theorem.
% 0.91/1.15  
% 0.91/1.15  Process 13866 finished Thu Jun  9 12:12:24 2022
%------------------------------------------------------------------------------