TSTP Solution File: SET830-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:21:01 EDT 2022

% Result   : Unsatisfiable 28.45s 28.71s
% Output   : Refutation 28.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % 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 : Sun Jul 10 05:18:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ----- Otter 3.2, August 2001 -----
% 0.12/0.34  The process was started by sandbox on n025.cluster.edu,
% 0.12/0.34  Sun Jul 10 05:18:31 2022
% 0.12/0.34  The command was "./sos".  The process ID is 17947.
% 0.12/0.34  
% 0.12/0.34  set(prolog_style_variables).
% 0.12/0.34  set(auto).
% 0.12/0.34     dependent: set(auto1).
% 0.12/0.34     dependent: set(process_input).
% 0.12/0.34     dependent: clear(print_kept).
% 0.12/0.34     dependent: clear(print_new_demod).
% 0.12/0.34     dependent: clear(print_back_demod).
% 0.12/0.34     dependent: clear(print_back_sub).
% 0.12/0.34     dependent: set(control_memory).
% 0.12/0.34     dependent: assign(max_mem, 12000).
% 0.12/0.34     dependent: assign(pick_given_ratio, 4).
% 0.12/0.34     dependent: assign(stats_level, 1).
% 0.12/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34     dependent: assign(sos_limit, 5000).
% 0.12/0.34     dependent: assign(max_weight, 60).
% 0.12/0.34  clear(print_given).
% 0.12/0.34  
% 0.12/0.34  list(usable).
% 0.12/0.34  
% 0.12/0.34  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.12/0.34  
% 0.12/0.34  This is a non-Horn set without equality.  The strategy
% 0.12/0.34  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.34  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.34  
% 0.12/0.34     dependent: set(hyper_res).
% 0.12/0.34     dependent: set(factor).
% 0.12/0.34     dependent: set(unit_deletion).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.18/0.38  
% 0.18/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38  
% 0.18/0.38  Stopped by limit on number of solutions
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  -------------- Softie stats --------------
% 0.18/0.38  
% 0.18/0.38  UPDATE_STOP: 300
% 0.18/0.38  SFINDER_TIME_LIMIT: 2
% 0.18/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38  number of clauses in intial UL: 8
% 0.18/0.38  number of clauses initially in problem: 11
% 0.18/0.38  percentage of clauses intially in UL: 72
% 0.18/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.38  percent of all initial clauses that are short: 100
% 0.18/0.38  absolute distinct symbol count: 10
% 0.18/0.38     distinct predicate count: 2
% 0.18/0.38     distinct function count: 3
% 0.18/0.38     distinct constant count: 5
% 0.18/0.38  
% 0.18/0.38  ---------- no more Softie stats ----------
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.38  
% 0.18/0.38  Stopped by limit on number of solutions
% 0.18/0.38  
% 0.18/0.38  =========== start of search ===========
% 2.26/2.51  
% 2.26/2.51  
% 2.26/2.51  Changing weight limit from 60 to 41.
% 2.26/2.51  
% 2.26/2.51  Model 3 (0.00 seconds, 0 Inserts)
% 2.26/2.51  
% 2.26/2.51  Stopped by limit on number of solutions
% 2.26/2.51  
% 2.26/2.51  Stopped by limit on insertions
% 2.26/2.51  
% 2.26/2.51  Model 4 [ 5 1 144 ] (0.00 seconds, 250000 Inserts)
% 2.26/2.51  
% 2.26/2.51  Resetting weight limit to 41 after 90 givens.
% 2.26/2.51  
% 11.55/11.75  
% 11.55/11.75  
% 11.55/11.75  Changing weight limit from 41 to 33.
% 11.55/11.75  
% 11.55/11.75  Resetting weight limit to 33 after 150 givens.
% 11.55/11.75  
% 11.75/11.95  
% 11.75/11.95  
% 11.75/11.95  Changing weight limit from 33 to 32.
% 11.75/11.95  
% 11.75/11.95  Resetting weight limit to 32 after 155 givens.
% 11.75/11.95  
% 17.75/17.96  
% 17.75/17.96  
% 17.75/17.96  Changing weight limit from 32 to 31.
% 17.75/17.96  
% 17.75/17.96  Resetting weight limit to 31 after 300 givens.
% 17.75/17.96  
% 19.93/20.11  
% 19.93/20.11  
% 19.93/20.11  Changing weight limit from 31 to 30.
% 19.93/20.11  
% 19.93/20.11  Resetting weight limit to 30 after 420 givens.
% 19.93/20.11  
% 22.21/22.39  
% 22.21/22.39  
% 22.21/22.39  Changing weight limit from 30 to 29.
% 22.21/22.39  
% 22.21/22.39  Modelling stopped after 300 given clauses and 0.00 seconds
% 22.21/22.39  
% 22.21/22.39  
% 22.21/22.39  Resetting weight limit to 29 after 535 givens.
% 22.21/22.39  
% 26.06/26.26  
% 26.06/26.26  
% 26.06/26.26  Changing weight limit from 29 to 28.
% 26.06/26.26  
% 26.06/26.26  Resetting weight limit to 28 after 715 givens.
% 26.06/26.26  
% 27.57/27.77  
% 27.57/27.77  
% 27.57/27.77  Changing weight limit from 28 to 27.
% 27.57/27.77  
% 27.57/27.77  Resetting weight limit to 27 after 785 givens.
% 27.57/27.77  
% 27.87/28.12  
% 27.87/28.12  
% 27.87/28.12  Changing weight limit from 27 to 26.
% 27.87/28.12  
% 27.87/28.12  Resetting weight limit to 26 after 805 givens.
% 27.87/28.12  
% 28.45/28.71  
% 28.45/28.71  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 28.45/28.71  
% 28.45/28.71  ----> UNIT CONFLICT at  28.13 sec ----> 45100 [binary,45099.1,6.1] {-} $F.
% 28.45/28.71  
% 28.45/28.71  Length of proof is 15.  Level of proof is 14.
% 28.45/28.71  
% 28.45/28.71  ---------------- PROOF ----------------
% 28.45/28.71  % SZS status Unsatisfiable
% 28.45/28.71  % SZS output start Refutation
% 28.45/28.71  
% 28.45/28.71  1 [] {+} -c_in(A,c_inter(B,C,D),D)|c_in(A,C,D).
% 28.45/28.71  2 [] {+} -c_in(A,c_inter(B,C,D),D)|c_in(A,B,D).
% 28.45/28.71  3 [] {+} -c_in(A,B,C)| -c_in(A,D,C)|c_in(A,c_inter(D,B,C),C).
% 28.45/28.71  4 [] {+} -c_in(A,B,C)| -c_lessequals(B,D,tc_set(C))|c_in(A,D,C).
% 28.45/28.71  5 [] {+} -c_in(c_Main_OsubsetI__1(A,B,C),B,C)|c_lessequals(A,B,tc_set(C)).
% 28.45/28.71  6 [] {+} -c_in(v_x,v_X,t_a).
% 28.45/28.71  7 [] {+} c_lessequals(A,v_X,tc_set(t_a))| -c_lessequals(A,v_Z,tc_set(t_a))| -c_lessequals(A,v_Y,tc_set(t_a)).
% 28.45/28.71  9 [] {+} c_in(c_Main_OsubsetI__1(A,B,C),A,C)|c_lessequals(A,B,tc_set(C)).
% 28.45/28.71  10 [] {+} c_in(v_x,v_Y,t_a).
% 28.45/28.71  11 [] {+} c_in(v_x,v_Z,t_a).
% 28.45/28.71  12 [hyper,9,7,9] {-} c_in(c_Main_OsubsetI__1(A,v_Y,t_a),A,t_a)|c_lessequals(A,v_X,tc_set(t_a))|c_in(c_Main_OsubsetI__1(A,v_Z,t_a),A,t_a).
% 28.45/28.71  17 [hyper,11,3,10] {+} c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a).
% 28.45/28.71  86 [hyper,17,4,12,unit_del,6] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a)|c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a).
% 28.45/28.71  17552 [hyper,86,1] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)|c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a).
% 28.45/28.71  36639 [hyper,17552,5] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)|c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)).
% 28.45/28.71  36689 [hyper,36639,7,9,factor_simp] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)|c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)).
% 28.45/28.71  36705 [hyper,36689,4,17,unit_del,6] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a).
% 28.45/28.71  36711 [hyper,36705,2] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),v_Z,t_a).
% 28.45/28.71  36717 [hyper,36711,5] {+} c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a)).
% 28.45/28.71  36722 [hyper,36717,7,9] {-} c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a).
% 28.45/28.71  44950 [hyper,36722,4,17,unit_del,6] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a).
% 28.45/28.71  44958 [hyper,44950,1] {-} c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a).
% 28.45/28.71  44964 [hyper,44958,5] {-} c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)).
% 28.45/28.71  44969 [hyper,44964,7,36717] {-} c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)).
% 28.45/28.71  45099 [hyper,44969,4,17] {-} c_in(v_x,v_X,t_a).
% 28.45/28.71  45100 [binary,45099.1,6.1] {-} $F.
% 28.45/28.71  
% 28.45/28.71  % SZS output end Refutation
% 28.45/28.71  ------------ end of proof -------------
% 28.45/28.71  
% 28.45/28.71  
% 28.45/28.71  Search stopped by max_proofs option.
% 28.45/28.71  
% 28.45/28.71  
% 28.45/28.71  Search stopped by max_proofs option.
% 28.45/28.71  
% 28.45/28.71  ============ end of search ============
% 28.45/28.71  
% 28.45/28.71  ----------- soft-scott stats ----------
% 28.45/28.71  
% 28.45/28.71  true clauses given         254      (29.3%)
% 28.45/28.71  false clauses given        613
% 28.45/28.71  
% 28.45/28.71        FALSE     TRUE
% 28.45/28.71    13  3         0
% 28.45/28.71    16  4         477
% 28.45/28.71    17  2         188
% 28.45/28.71    18  0         12
% 28.45/28.71    19  1         1055
% 28.45/28.71    20  0         448
% 28.45/28.71    21  0         102
% 28.45/28.71    22  450       216
% 28.45/28.71    23  159       5
% 28.45/28.71    24  52        0
% 28.45/28.71    25  1050      1
% 28.45/28.71    26  779       8
% 28.45/28.71  tot:  2500      2512      (50.1% true)
% 28.45/28.71  
% 28.45/28.71  
% 28.45/28.71  Model 4 [ 5 1 144 ] (0.00 seconds, 250000 Inserts)
% 28.45/28.71  
% 28.45/28.71  That finishes the proof of the theorem.
% 28.45/28.71  
% 28.45/28.71  Process 17947 finished Sun Jul 10 05:18:59 2022
%------------------------------------------------------------------------------