TSTP Solution File: NUM564+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 : Mon Jul 18 14:19:33 EDT 2022

% Result   : Theorem 42.13s 42.32s
% Output   : Refutation 42.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n005.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 : Tue Jul  5 12:51:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  ----- Otter 3.2, August 2001 -----
% 0.12/0.37  The process was started by sandbox on n005.cluster.edu,
% 0.12/0.37  Tue Jul  5 12:51:22 2022
% 0.12/0.37  The command was "./sos".  The process ID is 15146.
% 0.12/0.37  
% 0.12/0.37  set(prolog_style_variables).
% 0.12/0.37  set(auto).
% 0.12/0.37     dependent: set(auto1).
% 0.12/0.37     dependent: set(process_input).
% 0.12/0.37     dependent: clear(print_kept).
% 0.12/0.37     dependent: clear(print_new_demod).
% 0.12/0.37     dependent: clear(print_back_demod).
% 0.12/0.37     dependent: clear(print_back_sub).
% 0.12/0.37     dependent: set(control_memory).
% 0.12/0.37     dependent: assign(max_mem, 12000).
% 0.12/0.37     dependent: assign(pick_given_ratio, 4).
% 0.12/0.37     dependent: assign(stats_level, 1).
% 0.12/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37     dependent: assign(sos_limit, 5000).
% 0.12/0.37     dependent: assign(max_weight, 60).
% 0.12/0.37  clear(print_given).
% 0.12/0.37  
% 0.12/0.37  formula_list(usable).
% 0.12/0.37  
% 0.12/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 0.12/0.37  
% 0.12/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.37  clauses in usable.
% 0.12/0.37  
% 0.12/0.37     dependent: set(knuth_bendix).
% 0.12/0.37     dependent: set(para_from).
% 0.12/0.37     dependent: set(para_into).
% 0.12/0.37     dependent: clear(para_from_right).
% 0.12/0.37     dependent: clear(para_into_right).
% 0.12/0.37     dependent: set(para_from_vars).
% 0.12/0.37     dependent: set(eq_units_both_ways).
% 0.12/0.37     dependent: set(dynamic_demod_all).
% 0.12/0.37     dependent: set(dynamic_demod).
% 0.12/0.37     dependent: set(order_eq).
% 0.12/0.37     dependent: set(back_demod).
% 0.12/0.37     dependent: set(lrpo).
% 0.12/0.37     dependent: set(hyper_res).
% 0.12/0.37     dependent: set(unit_deletion).
% 0.12/0.37     dependent: set(factor).
% 0.12/0.37  
% 0.12/0.37  ------------> process usable:
% 0.12/0.37  148 back subsumes 147.
% 0.12/0.37  
% 0.12/0.37  ------------> process sos:
% 0.12/0.37    Following clause subsumed by 191 during input processing: 0 [copy,191,flip.1] {-} A=A.
% 0.12/0.37  191 back subsumes 158.
% 0.12/0.37  191 back subsumes 153.
% 0.12/0.37  191 back subsumes 152.
% 0.12/0.37  191 back subsumes 150.
% 0.12/0.37  191 back subsumes 146.
% 0.12/0.37  191 back subsumes 140.
% 0.12/0.37  
% 0.12/0.37  ======= end of input processing =======
% 0.75/0.98  
% 0.75/0.98  Stopped by limit on insertions
% 0.75/0.98  
% 0.75/0.98  
% 0.75/0.98  Failed to model usable list: disabling FINDER
% 0.75/0.98  
% 0.75/0.98  
% 0.75/0.98  
% 0.75/0.98  -------------- Softie stats --------------
% 0.75/0.98  
% 0.75/0.98  UPDATE_STOP: 300
% 0.75/0.98  SFINDER_TIME_LIMIT: 2
% 0.75/0.98  SHORT_CLAUSE_CUTOFF: 4
% 0.75/0.98  number of clauses in intial UL: 159
% 0.75/0.98  number of clauses initially in problem: 180
% 0.75/0.98  percentage of clauses intially in UL: 88
% 0.75/0.98  percentage of distinct symbols occuring in initial UL: 90
% 0.75/0.98  percent of all initial clauses that are short: 100
% 0.75/0.98  absolute distinct symbol count: 52
% 0.75/0.98     distinct predicate count: 10
% 0.75/0.98     distinct function count: 35
% 0.75/0.98     distinct constant count: 7
% 0.75/0.98  
% 0.75/0.98  ---------- no more Softie stats ----------
% 0.75/0.98  
% 0.75/0.98  
% 0.75/0.98  
% 0.75/0.98  =========== start of search ===========
% 6.81/7.07  
% 6.81/7.07  
% 6.81/7.07  Changing weight limit from 60 to 44.
% 6.81/7.07  
% 6.81/7.07  Resetting weight limit to 44 after 40 givens.
% 6.81/7.07  
% 7.55/7.77  
% 7.55/7.77  
% 7.55/7.77  Changing weight limit from 44 to 35.
% 7.55/7.77  
% 7.55/7.77  Resetting weight limit to 35 after 45 givens.
% 7.55/7.77  
% 8.12/8.33  
% 8.12/8.33  
% 8.12/8.33  Changing weight limit from 35 to 28.
% 8.12/8.33  
% 8.12/8.33  Resetting weight limit to 28 after 50 givens.
% 8.12/8.33  
% 8.69/8.87  
% 8.69/8.87  
% 8.69/8.87  Changing weight limit from 28 to 26.
% 8.69/8.87  
% 8.69/8.87  Resetting weight limit to 26 after 55 givens.
% 8.69/8.87  
% 9.04/9.27  
% 9.04/9.27  
% 9.04/9.27  Changing weight limit from 26 to 24.
% 9.04/9.27  
% 9.04/9.27  Resetting weight limit to 24 after 60 givens.
% 9.04/9.27  
% 9.34/9.58  
% 9.34/9.58  
% 9.34/9.58  Changing weight limit from 24 to 23.
% 9.34/9.58  
% 9.34/9.58  Resetting weight limit to 23 after 65 givens.
% 9.34/9.58  
% 9.73/9.93  
% 9.73/9.93  
% 9.73/9.93  Changing weight limit from 23 to 22.
% 9.73/9.93  
% 9.73/9.93  Resetting weight limit to 22 after 75 givens.
% 9.73/9.93  
% 10.13/10.31  
% 10.13/10.31  
% 10.13/10.31  Changing weight limit from 22 to 21.
% 10.13/10.31  
% 10.13/10.31  Resetting weight limit to 21 after 85 givens.
% 10.13/10.31  
% 10.80/11.02  
% 10.80/11.02  
% 10.80/11.02  Changing weight limit from 21 to 20.
% 10.80/11.02  
% 10.80/11.02  Resetting weight limit to 20 after 95 givens.
% 10.80/11.02  
% 11.36/11.53  
% 11.36/11.53  
% 11.36/11.53  Changing weight limit from 20 to 19.
% 11.36/11.53  
% 11.36/11.53  Resetting weight limit to 19 after 110 givens.
% 11.36/11.53  
% 12.15/12.33  
% 12.15/12.33  
% 12.15/12.33  Changing weight limit from 19 to 18.
% 12.15/12.33  
% 12.15/12.33  Resetting weight limit to 18 after 135 givens.
% 12.15/12.33  
% 12.84/13.06  
% 12.84/13.06  
% 12.84/13.06  Changing weight limit from 18 to 17.
% 12.84/13.06  
% 12.84/13.06  Resetting weight limit to 17 after 150 givens.
% 12.84/13.06  
% 13.22/13.48  
% 13.22/13.48  
% 13.22/13.48  Changing weight limit from 17 to 16.
% 13.22/13.48  
% 13.22/13.48  Resetting weight limit to 16 after 155 givens.
% 13.22/13.48  
% 13.83/14.08  
% 13.83/14.08  
% 13.83/14.08  Changing weight limit from 16 to 15.
% 13.83/14.08  
% 13.83/14.08  Resetting weight limit to 15 after 175 givens.
% 13.83/14.08  
% 14.29/14.47  
% 14.29/14.47  
% 14.29/14.47  Changing weight limit from 15 to 14.
% 14.29/14.47  
% 14.29/14.47  Resetting weight limit to 14 after 185 givens.
% 14.29/14.47  
% 14.96/15.18  
% 14.96/15.18  
% 14.96/15.18  Changing weight limit from 14 to 13.
% 14.96/15.18  
% 14.96/15.18  Resetting weight limit to 13 after 205 givens.
% 14.96/15.18  
% 15.56/15.75  
% 15.56/15.75  
% 15.56/15.75  Changing weight limit from 13 to 12.
% 15.56/15.75  
% 15.56/15.75  Resetting weight limit to 12 after 210 givens.
% 15.56/15.75  
% 16.31/16.57  
% 16.31/16.57  
% 16.31/16.57  Changing weight limit from 12 to 10.
% 16.31/16.57  
% 16.31/16.57  Resetting weight limit to 10 after 215 givens.
% 16.31/16.57  
% 18.66/18.86  
% 18.66/18.86  
% 18.66/18.86  Changing weight limit from 10 to 9.
% 18.66/18.86  
% 18.66/18.86  Resetting weight limit to 9 after 245 givens.
% 18.66/18.86  
% 26.92/27.12  
% 26.92/27.12  
% 26.92/27.12  Changing weight limit from 9 to 8.
% 26.92/27.12  
% 26.92/27.12  Modelling stopped after 300 given clauses and 0.00 seconds
% 26.92/27.12  
% 26.92/27.12  
% 26.92/27.12  Resetting weight limit to 8 after 330 givens.
% 26.92/27.12  
% 42.13/42.32  
% 42.13/42.32  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 42.13/42.32  
% 42.13/42.32  -----> EMPTY CLAUSE at  40.84 sec ----> 31385 [hyper,29729,3,191] {-} $F.
% 42.13/42.32  
% 42.13/42.32  Length of proof is 6.  Level of proof is 3.
% 42.13/42.32  
% 42.13/42.32  ---------------- PROOF ----------------
% 42.13/42.32  % SZS status Theorem
% 42.13/42.32  % SZS output start Refutation
% 42.13/42.32  
% 42.13/42.32  2 [] {+} A!=slcrc0|aSet0(A).
% 42.13/42.32  3 [] {+} A!=slcrc0| -aElementOf0(B,A).
% 42.13/42.32  7 [] {+} -aSet0(A)| -aSubsetOf0(B,A)|aSet0(B).
% 42.13/42.32  9 [] {+} -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B).
% 42.13/42.32  91 [] {+} -aElementOf0(A,szNzAzT0)|sbrdtbr0(slbdtrb0(A))=A.
% 42.13/42.32  95 [] {+} -aSet0(A)| -aElementOf0(B,szNzAzT0)|C!=slbdtsldtrb0(A,B)|aElementOf0(D,C)| -aSubsetOf0(D,A)|sbrdtbr0(D)!=B.
% 42.13/42.32  139 [] {+} -aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)).
% 42.13/42.32  174 [] {-} aSet0(szNzAzT0).
% 42.13/42.32  176 [] {-} aElementOf0(sz00,szNzAzT0).
% 42.13/42.32  178,177 [] {-} slbdtrb0(sz00)=slcrc0.
% 42.13/42.32  182 [] {-} aSubsetOf0(xS,szNzAzT0).
% 42.13/42.32  185 [] {-} szDzozmdt0(xc)=slbdtsldtrb0(xS,xK).
% 42.13/42.32  190,189 [] {-} xK=sz00.
% 42.13/42.32  191 [] {-} A=A.
% 42.13/42.32  194,193 [back_demod,185,demod,190] {-} szDzozmdt0(xc)=slbdtsldtrb0(xS,sz00).
% 42.13/42.32  462 [hyper,176,91,demod,178] {-} sbrdtbr0(slcrc0)=sz00.
% 42.13/42.32  780 [hyper,182,7,174] {-} aSet0(xS).
% 42.13/42.32  891 [hyper,177,2,demod,178] {-} aSet0(slcrc0).
% 42.13/42.32  1129 [hyper,891,9,780] {-} aSubsetOf0(slcrc0,xS)|aElementOf0($f2(xS,slcrc0),slcrc0).
% 42.13/42.32  29729 [hyper,1129,95,780,176,193,462,demod,194,unit_del,139] {-} aElementOf0($f2(xS,slcrc0),slcrc0).
% 42.13/42.32  31385 [hyper,29729,3,191] {-} $F.
% 42.13/42.32  
% 42.13/42.32  % SZS output end Refutation
% 42.13/42.32  ------------ end of proof -------------
% 42.13/42.32  
% 42.13/42.32  
% 42.13/42.32  Search stopped by max_proofs option.
% 42.13/42.32  
% 42.13/42.32  
% 42.13/42.32  Search stopped by max_proofs option.
% 42.13/42.32  
% 42.13/42.32  ============ end of search ============
% 42.13/42.32  
% 42.13/42.32  That finishes the proof of the theorem.
% 42.13/42.32  
% 42.13/42.32  Process 15146 finished Tue Jul  5 12:52:04 2022
%------------------------------------------------------------------------------