TSTP Solution File: COM023+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n009.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 01:43:34 EDT 2022

% Result   : Theorem 3.55s 3.79s
% Output   : Refutation 3.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n009.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 : Thu Jun 16 18:44:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox on n009.cluster.edu,
% 0.12/0.36  Thu Jun 16 18:44:37 2022
% 0.12/0.36  The command was "./sos".  The process ID is 2410.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 89 during input processing: 0 [copy,89,flip.1] {-} A=A.
% 0.12/0.36  89 back subsumes 50.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.45/0.63  
% 0.45/0.63  Model 1 (0.00 seconds, 0 Inserts)
% 0.45/0.63  
% 0.45/0.63  Stopped by limit on number of solutions
% 0.45/0.63  
% 0.45/0.63  
% 0.45/0.63  -------------- Softie stats --------------
% 0.45/0.63  
% 0.45/0.63  UPDATE_STOP: 300
% 0.45/0.63  SFINDER_TIME_LIMIT: 2
% 0.45/0.63  SHORT_CLAUSE_CUTOFF: 4
% 0.45/0.63  number of clauses in intial UL: 84
% 0.45/0.63  number of clauses initially in problem: 88
% 0.45/0.63  percentage of clauses intially in UL: 95
% 0.45/0.63  percentage of distinct symbols occuring in initial UL: 100
% 0.45/0.63  percent of all initial clauses that are short: 100
% 0.45/0.63  absolute distinct symbol count: 26
% 0.45/0.63     distinct predicate count: 11
% 0.45/0.63     distinct function count: 14
% 0.45/0.63     distinct constant count: 1
% 0.45/0.63  
% 0.45/0.63  ---------- no more Softie stats ----------
% 0.45/0.63  
% 0.45/0.63  
% 0.45/0.63  
% 0.45/0.63  Stopped by limit on insertions
% 0.45/0.63  
% 0.45/0.63  =========== start of search ===========
% 3.55/3.79  
% 3.55/3.79  -------- PROOF -------- 
% 3.55/3.79  % SZS status Theorem
% 3.55/3.79  % SZS output start Refutation
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 2 [ 1 1 760 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 3 [ 1 2 13349 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 4 [ 1 1 2748 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 5 [ 1 0 443 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 6 [ 3 0 445 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 7 [ 1 5 51699 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 8 [ 1 0 3492 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 9 [ 4 0 511 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 10 [ 7 2 10491 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 11 [ 5 1 2067 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Stopped by limit on insertions
% 3.55/3.79  
% 3.55/3.79  Model 12 [ 1 1 4731 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  ----> UNIT CONFLICT at   3.41 sec ----> 1021 [binary,1020.1,43.1] {-} $F.
% 3.55/3.79  
% 3.55/3.79  Length of proof is 9.  Level of proof is 3.
% 3.55/3.79  
% 3.55/3.79  ---------------- PROOF ----------------
% 3.55/3.79  % SZS status Theorem
% 3.55/3.79  % SZS output start Refutation
% 3.55/3.79  
% 3.55/3.79  15 [] {+} -aRewritingSystem0(A)|isConfluent0(A)|aElement0($f5(A)).
% 3.55/3.79  16 [] {+} -aRewritingSystem0(A)|isConfluent0(A)|aElement0($f4(A)).
% 3.55/3.79  17 [] {+} -aRewritingSystem0(A)|isConfluent0(A)|aElement0($f3(A)).
% 3.55/3.79  18 [] {+} -aRewritingSystem0(A)|isConfluent0(A)|sdtmndtasgtdt0($f5(A),A,$f4(A)).
% 3.55/3.79  19 [] {+} -aRewritingSystem0(A)|isConfluent0(A)|sdtmndtasgtdt0($f5(A),A,$f3(A)).
% 3.55/3.79  20 [] {+} -aRewritingSystem0(A)|isConfluent0(A)| -aElement0(B)| -sdtmndtasgtdt0($f4(A),A,B)| -sdtmndtasgtdt0($f3(A),A,B).
% 3.55/3.79  40 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)|aElement0($f14(A,B,C)).
% 3.55/3.79  41 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)|sdtmndtasgtdt0(B,xR,$f14(A,B,C)).
% 3.55/3.79  42 [] {+} -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtmndtasgtdt0(A,xR,B)| -sdtmndtasgtdt0(A,xR,C)|sdtmndtasgtdt0(C,xR,$f14(A,B,C)).
% 3.55/3.79  43 [] {+} -isConfluent0(xR).
% 3.55/3.79  86 [] {-} aRewritingSystem0(xR).
% 3.55/3.79  90 [hyper,86,19,unit_del,43] {+} sdtmndtasgtdt0($f5(xR),xR,$f3(xR)).
% 3.55/3.79  91 [hyper,86,18,unit_del,43] {+} sdtmndtasgtdt0($f5(xR),xR,$f4(xR)).
% 3.55/3.79  92 [hyper,86,17,unit_del,43] {+} aElement0($f3(xR)).
% 3.55/3.79  93 [hyper,86,16,unit_del,43] {+} aElement0($f4(xR)).
% 3.55/3.79  94 [hyper,86,15,unit_del,43] {+} aElement0($f5(xR)).
% 3.55/3.79  118 [hyper,91,42,94,92,93,90] {+} sdtmndtasgtdt0($f4(xR),xR,$f14($f5(xR),$f3(xR),$f4(xR))).
% 3.55/3.79  120 [hyper,91,41,94,92,93,90] {+} sdtmndtasgtdt0($f3(xR),xR,$f14($f5(xR),$f3(xR),$f4(xR))).
% 3.55/3.79  122 [hyper,91,40,94,92,93,90] {+} aElement0($f14($f5(xR),$f3(xR),$f4(xR))).
% 3.55/3.79  1020 [hyper,120,20,86,122,118] {-} isConfluent0(xR).
% 3.55/3.79  1021 [binary,1020.1,43.1] {-} $F.
% 3.55/3.79  
% 3.55/3.79  % SZS output end Refutation
% 3.55/3.79  ------------ end of proof -------------
% 3.55/3.79  
% 3.55/3.79  
% 3.55/3.79  Search stopped by max_proofs option.
% 3.55/3.79  
% 3.55/3.79  
% 3.55/3.79  Search stopped by max_proofs option.
% 3.55/3.79  
% 3.55/3.79  ============ end of search ============
% 3.55/3.79  
% 3.55/3.79  ----------- soft-scott stats ----------
% 3.55/3.79  
% 3.55/3.79  true clauses given          57      (74.0%)
% 3.55/3.79  false clauses given         20
% 3.55/3.79  
% 3.55/3.79        FALSE     TRUE
% 3.55/3.79    11  0         17
% 3.55/3.79    12  0         17
% 3.55/3.79    13  0         31
% 3.55/3.79    14  0         15
% 3.55/3.79    15  0         35
% 3.55/3.79    16  0         44
% 3.55/3.79    17  0         20
% 3.55/3.79    18  0         22
% 3.55/3.79    19  0         17
% 3.55/3.79    20  0         45
% 3.55/3.79    21  0         61
% 3.55/3.79    22  0         91
% 3.55/3.79    23  0         88
% 3.55/3.79    24  0         122
% 3.55/3.79    25  0         54
% 3.55/3.79    26  0         21
% 3.55/3.79    27  0         6
% 3.55/3.79    28  0         7
% 3.55/3.79    29  0         31
% 3.55/3.79    30  0         23
% 3.55/3.79    31  0         28
% 3.55/3.79    32  0         18
% 3.55/3.79    33  0         8
% 3.55/3.79    34  0         6
% 3.55/3.79    36  0         2
% 3.55/3.79    40  0         1
% 3.55/3.79  tot:  0         830      (100.0% true)
% 3.55/3.79  
% 3.55/3.79  
% 3.55/3.79  Model 12 [ 1 1 4731 ] (0.00 seconds, 250000 Inserts)
% 3.55/3.79  
% 3.55/3.79  That finishes the proof of the theorem.
% 3.55/3.79  
% 3.55/3.79  Process 2410 finished Thu Jun 16 18:44:41 2022
%------------------------------------------------------------------------------