TSTP Solution File: SET820-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:20:52 EDT 2022

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n005.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 : Sat Jul  9 18:50:07 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 sandbox2 on n005.cluster.edu,
% 0.12/0.34  Sat Jul  9 18:50:07 2022
% 0.12/0.34  The command was "./sos".  The process ID is 12053.
% 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=1, symmetry=0, max_lits=3.
% 0.12/0.34  
% 0.12/0.34  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.34  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.34  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.34  clauses in usable.
% 0.12/0.34  
% 0.12/0.34     dependent: set(knuth_bendix).
% 0.12/0.34     dependent: set(para_from).
% 0.12/0.34     dependent: set(para_into).
% 0.12/0.34     dependent: clear(para_from_right).
% 0.12/0.34     dependent: clear(para_into_right).
% 0.12/0.34     dependent: set(para_from_vars).
% 0.12/0.34     dependent: set(eq_units_both_ways).
% 0.12/0.34     dependent: set(dynamic_demod_all).
% 0.12/0.34     dependent: set(dynamic_demod).
% 0.12/0.34     dependent: set(order_eq).
% 0.12/0.34     dependent: set(back_demod).
% 0.12/0.34     dependent: set(lrpo).
% 0.12/0.34     dependent: set(hyper_res).
% 0.12/0.34     dependent: set(unit_deletion).
% 0.12/0.34     dependent: set(factor).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34    Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 4
% 0.12/0.38  number of clauses initially in problem: 7
% 0.12/0.38  percentage of clauses intially in UL: 57
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 87
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 8
% 0.12/0.38     distinct predicate count: 3
% 0.12/0.38     distinct function count: 2
% 0.12/0.38     distinct constant count: 3
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 0.59/0.76  
% 0.59/0.76  -------- PROOF -------- 
% 0.59/0.76  % SZS status Unsatisfiable
% 0.59/0.76  % SZS output start Refutation
% 0.59/0.76  
% 0.59/0.76  Stopped by limit on insertions
% 0.59/0.76  
% 0.59/0.76  Model 2 [ 9 1 1142 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.76  
% 0.59/0.76  ----> UNIT CONFLICT at   0.39 sec ----> 106 [binary,105.1,1.1] {-} $F.
% 0.59/0.76  
% 0.59/0.76  Length of proof is 4.  Level of proof is 4.
% 0.59/0.76  
% 0.59/0.76  ---------------- PROOF ----------------
% 0.59/0.76  % SZS status Unsatisfiable
% 0.59/0.76  % SZS output start Refutation
% 0.59/0.76  
% 0.59/0.76  1 [] {+} -c_in(A,c_emptyset,B).
% 0.59/0.76  2 [] {+} -c_in(A,c_insert(B,C,D),D)|c_in(A,C,D)|A=B.
% 0.59/0.76  3 [] {+} -c_in(A,B,tc_IntDef_Oint)|c_in(v_x(B),B,tc_IntDef_Oint).
% 0.59/0.76  4 [] {+} -c_in(A,B,tc_IntDef_Oint)| -v_P(v_x(B)).
% 0.59/0.76  5 [] {-} c_in(A,c_insert(A,B,C),C).
% 0.59/0.76  6 [] {+} v_P(v_a).
% 0.59/0.76  8 [hyper,5,3] {-} c_in(v_x(c_insert(A,B,tc_IntDef_Oint)),c_insert(A,B,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.59/0.76  11 [hyper,8,2] {-} c_in(v_x(c_insert(A,B,tc_IntDef_Oint)),B,tc_IntDef_Oint)|v_x(c_insert(A,B,tc_IntDef_Oint))=A.
% 0.59/0.76  26 [para_from,11.2.1,4.2.1] {+} -c_in(A,c_insert(B,C,tc_IntDef_Oint),tc_IntDef_Oint)| -v_P(B)|c_in(v_x(c_insert(B,C,tc_IntDef_Oint)),C,tc_IntDef_Oint).
% 0.59/0.76  105 [hyper,26,8,6] {-} c_in(v_x(c_insert(v_a,A,tc_IntDef_Oint)),A,tc_IntDef_Oint).
% 0.59/0.76  106 [binary,105.1,1.1] {-} $F.
% 0.59/0.76  
% 0.59/0.76  % SZS output end Refutation
% 0.59/0.76  ------------ end of proof -------------
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  Search stopped by max_proofs option.
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  Search stopped by max_proofs option.
% 0.59/0.76  
% 0.59/0.76  ============ end of search ============
% 0.59/0.76  
% 0.59/0.76  ----------- soft-scott stats ----------
% 0.59/0.76  
% 0.59/0.76  true clauses given           3      (23.1%)
% 0.59/0.76  false clauses given         10
% 0.59/0.76  
% 0.59/0.76        FALSE     TRUE
% 0.59/0.76    20  0         1
% 0.59/0.76    22  4         1
% 0.59/0.76    24  0         2
% 0.59/0.76    25  1         2
% 0.59/0.76    26  6         0
% 0.59/0.76    27  0         1
% 0.59/0.76    28  1         1
% 0.59/0.76    29  10        0
% 0.59/0.76    30  2         0
% 0.59/0.76    31  0         1
% 0.59/0.76    32  2         1
% 0.59/0.76    33  12        0
% 0.59/0.76    35  4         0
% 0.59/0.76    36  14        8
% 0.59/0.76    37  5         1
% 0.59/0.76    39  4         2
% 0.59/0.76    40  0         1
% 0.59/0.76  tot:  65        22      (25.3% true)
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  Model 2 [ 9 -15 1142 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.76  
% 0.59/0.76  That finishes the proof of the theorem.
% 0.59/0.76  
% 0.59/0.76  Process 12053 finished Sat Jul  9 18:50:07 2022
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