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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM538+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n008.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 14:19:15 EDT 2022

% Result   : Theorem 10.61s 10.79s
% Output   : Refutation 10.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM538+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : sos-script %s
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jul  6 20:14:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.35  ----- Otter 3.2, August 2001 -----
% 0.11/0.35  The process was started by sandbox on n008.cluster.edu,
% 0.11/0.35  Wed Jul  6 20:14:08 2022
% 0.11/0.35  The command was "./sos".  The process ID is 14316.
% 0.11/0.35  
% 0.11/0.35  set(prolog_style_variables).
% 0.11/0.35  set(auto).
% 0.11/0.35     dependent: set(auto1).
% 0.11/0.35     dependent: set(process_input).
% 0.11/0.35     dependent: clear(print_kept).
% 0.11/0.35     dependent: clear(print_new_demod).
% 0.11/0.35     dependent: clear(print_back_demod).
% 0.11/0.35     dependent: clear(print_back_sub).
% 0.11/0.35     dependent: set(control_memory).
% 0.11/0.35     dependent: assign(max_mem, 12000).
% 0.11/0.35     dependent: assign(pick_given_ratio, 4).
% 0.11/0.35     dependent: assign(stats_level, 1).
% 0.11/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.35     dependent: assign(sos_limit, 5000).
% 0.11/0.35     dependent: assign(max_weight, 60).
% 0.11/0.35  clear(print_given).
% 0.11/0.35  
% 0.11/0.35  formula_list(usable).
% 0.11/0.35  
% 0.11/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.11/0.35  
% 0.11/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.11/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.35  clauses in usable.
% 0.11/0.35  
% 0.11/0.35     dependent: set(knuth_bendix).
% 0.11/0.35     dependent: set(para_from).
% 0.11/0.35     dependent: set(para_into).
% 0.11/0.35     dependent: clear(para_from_right).
% 0.11/0.35     dependent: clear(para_into_right).
% 0.11/0.35     dependent: set(para_from_vars).
% 0.11/0.35     dependent: set(eq_units_both_ways).
% 0.11/0.35     dependent: set(dynamic_demod_all).
% 0.11/0.35     dependent: set(dynamic_demod).
% 0.11/0.35     dependent: set(order_eq).
% 0.11/0.35     dependent: set(back_demod).
% 0.11/0.35     dependent: set(lrpo).
% 0.11/0.35     dependent: set(hyper_res).
% 0.11/0.35     dependent: set(unit_deletion).
% 0.11/0.35     dependent: set(factor).
% 0.11/0.35  
% 0.11/0.35  ------------> process usable:
% 0.11/0.35  72 back subsumes 71.
% 0.11/0.35  
% 0.11/0.35  ------------> process sos:
% 0.11/0.35    Following clause subsumed by 84 during input processing: 0 [copy,84,flip.1] {-} A=A.
% 0.11/0.35  84 back subsumes 76.
% 0.11/0.35  84 back subsumes 74.
% 0.11/0.35  84 back subsumes 70.
% 0.11/0.35  84 back subsumes 64.
% 0.11/0.35  
% 0.11/0.35  ======= end of input processing =======
% 0.19/0.60  
% 0.19/0.60  Stopped by limit on insertions
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  Failed to model usable list: disabling FINDER
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  -------------- Softie stats --------------
% 0.19/0.60  
% 0.19/0.60  UPDATE_STOP: 300
% 0.19/0.60  SFINDER_TIME_LIMIT: 2
% 0.19/0.60  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.60  number of clauses in intial UL: 69
% 0.19/0.60  number of clauses initially in problem: 77
% 0.19/0.60  percentage of clauses intially in UL: 89
% 0.19/0.60  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.60  percent of all initial clauses that are short: 100
% 0.19/0.60  absolute distinct symbol count: 23
% 0.19/0.60     distinct predicate count: 9
% 0.19/0.60     distinct function count: 9
% 0.19/0.60     distinct constant count: 5
% 0.19/0.60  
% 0.19/0.60  ---------- no more Softie stats ----------
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  =========== start of search ===========
% 4.93/5.14  
% 4.93/5.14  
% 4.93/5.14  Changing weight limit from 60 to 43.
% 4.93/5.14  
% 4.93/5.14  Resetting weight limit to 43 after 45 givens.
% 4.93/5.14  
% 5.82/6.02  
% 5.82/6.02  
% 5.82/6.02  Changing weight limit from 43 to 36.
% 5.82/6.02  
% 5.82/6.02  Resetting weight limit to 36 after 50 givens.
% 5.82/6.02  
% 6.43/6.66  
% 6.43/6.66  
% 6.43/6.66  Changing weight limit from 36 to 33.
% 6.43/6.66  
% 6.43/6.66  Resetting weight limit to 33 after 55 givens.
% 6.43/6.66  
% 6.95/7.17  
% 6.95/7.17  
% 6.95/7.17  Changing weight limit from 33 to 30.
% 6.95/7.17  
% 6.95/7.17  Resetting weight limit to 30 after 60 givens.
% 6.95/7.17  
% 7.26/7.50  
% 7.26/7.50  
% 7.26/7.50  Changing weight limit from 30 to 29.
% 7.26/7.50  
% 7.26/7.50  Resetting weight limit to 29 after 70 givens.
% 7.26/7.50  
% 7.50/7.69  
% 7.50/7.69  
% 7.50/7.69  Changing weight limit from 29 to 28.
% 7.50/7.69  
% 7.50/7.69  Resetting weight limit to 28 after 75 givens.
% 7.50/7.69  
% 7.87/8.09  
% 7.87/8.09  
% 7.87/8.09  Changing weight limit from 28 to 27.
% 7.87/8.09  
% 7.87/8.09  Resetting weight limit to 27 after 80 givens.
% 7.87/8.09  
% 8.33/8.50  
% 8.33/8.50  
% 8.33/8.50  Changing weight limit from 27 to 26.
% 8.33/8.50  
% 8.33/8.50  Resetting weight limit to 26 after 85 givens.
% 8.33/8.50  
% 8.42/8.60  
% 8.42/8.60  
% 8.42/8.60  Changing weight limit from 26 to 25.
% 8.42/8.60  
% 8.42/8.60  Resetting weight limit to 25 after 90 givens.
% 8.42/8.60  
% 9.22/9.41  
% 9.22/9.41  
% 9.22/9.41  Changing weight limit from 25 to 23.
% 9.22/9.41  
% 9.22/9.41  Resetting weight limit to 23 after 100 givens.
% 9.22/9.41  
% 9.53/9.75  
% 9.53/9.75  
% 9.53/9.75  Changing weight limit from 23 to 22.
% 9.53/9.75  
% 9.53/9.75  Resetting weight limit to 22 after 105 givens.
% 9.53/9.75  
% 10.44/10.64  
% 10.44/10.64  
% 10.44/10.64  Changing weight limit from 22 to 21.
% 10.44/10.64  
% 10.44/10.64  Resetting weight limit to 21 after 120 givens.
% 10.44/10.64  
% 10.61/10.79  
% 10.61/10.79  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 10.61/10.79  
% 10.61/10.79  -----> EMPTY CLAUSE at  10.40 sec ----> 14065 [hyper,3443,27,81,287,84,84] {-} $F.
% 10.61/10.79  
% 10.61/10.79  Length of proof is 5.  Level of proof is 3.
% 10.61/10.79  
% 10.61/10.79  ---------------- PROOF ----------------
% 10.61/10.79  % SZS status Theorem
% 10.61/10.79  % SZS output start Refutation
% 10.61/10.79  
% 10.61/10.79  1 [] {+} -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 10.61/10.79  24 [] {+} -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)|aSet0(C).
% 10.61/10.79  27 [] {+} -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)| -aElementOf0(D,C)|D!=B.
% 10.61/10.79  33 [] {+} -aSet0(A)| -aElementOf0(B,A)|sdtpldt0(sdtmndt0(A,B),B)=A.
% 10.61/10.79  38 [] {+} -aElement0(A)| -aSet0(B)| -isFinite0(B)|isFinite0(sdtmndt0(B,A)).
% 10.61/10.79  62 [] {+} -aSet0(A)| -isFinite0(A)| -aElement0(B)|aElementOf0(B,A)|sbrdtbr0(sdtpldt0(A,B))=szszuzczcdt0(sbrdtbr0(A)).
% 10.61/10.79  63 [] {+} szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))!=sbrdtbr0(xS).
% 10.61/10.79  81 [] {-} aSet0(xS).
% 10.61/10.79  82 [] {-} isFinite0(xS).
% 10.61/10.79  83 [] {-} aElementOf0(xx,xS).
% 10.61/10.79  84 [] {-} A=A.
% 10.61/10.79  286,285 [hyper,83,33,81] {-} sdtpldt0(sdtmndt0(xS,xx),xx)=xS.
% 10.61/10.79  287 [hyper,83,1,81] {-} aElement0(xx).
% 10.61/10.79  339 [hyper,287,38,81,82] {-} isFinite0(sdtmndt0(xS,xx)).
% 10.61/10.79  378 [hyper,84,24,81,287] {-} aSet0(sdtmndt0(xS,xx)).
% 10.61/10.79  3443 [hyper,378,62,339,287,demod,286,unit_del,63] {-} aElementOf0(xx,sdtmndt0(xS,xx)).
% 10.61/10.79  14065 [hyper,3443,27,81,287,84,84] {-} $F.
% 10.61/10.79  
% 10.61/10.79  % SZS output end Refutation
% 10.61/10.79  ------------ end of proof -------------
% 10.61/10.79  
% 10.61/10.79  
% 10.61/10.79  Search stopped by max_proofs option.
% 10.61/10.79  
% 10.61/10.79  
% 10.61/10.79  Search stopped by max_proofs option.
% 10.61/10.79  
% 10.61/10.79  ============ end of search ============
% 10.61/10.79  
% 10.61/10.79  That finishes the proof of the theorem.
% 10.61/10.79  
% 10.61/10.79  Process 14316 finished Wed Jul  6 20:14:18 2022
%------------------------------------------------------------------------------