TSTP Solution File: SET983+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n023.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 05:22:13 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 15:33:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n023.cluster.edu,
% 0.13/0.35  Sun Jul 10 15:33:10 2022
% 0.13/0.35  The command was "./sos".  The process ID is 29786.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.13/0.35  
% 0.13/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35  clauses in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(knuth_bendix).
% 0.13/0.35     dependent: set(para_from).
% 0.13/0.35     dependent: set(para_into).
% 0.13/0.35     dependent: clear(para_from_right).
% 0.13/0.35     dependent: clear(para_into_right).
% 0.13/0.35     dependent: set(para_from_vars).
% 0.13/0.35     dependent: set(eq_units_both_ways).
% 0.13/0.35     dependent: set(dynamic_demod_all).
% 0.13/0.35     dependent: set(dynamic_demod).
% 0.13/0.35     dependent: set(order_eq).
% 0.13/0.35     dependent: set(back_demod).
% 0.13/0.35     dependent: set(lrpo).
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} set_intersection2(A,B)=set_intersection2(B,A).
% 0.13/0.35    Following clause subsumed by 25 during input processing: 0 [copy,25,flip.1] {-} A=A.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.37  
% 0.13/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.37  
% 0.13/0.37  Stopped by limit on number of solutions
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  -------------- Softie stats --------------
% 0.13/0.37  
% 0.13/0.37  UPDATE_STOP: 300
% 0.13/0.37  SFINDER_TIME_LIMIT: 2
% 0.13/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.37  number of clauses in intial UL: 10
% 0.13/0.37  number of clauses initially in problem: 25
% 0.13/0.37  percentage of clauses intially in UL: 40
% 0.13/0.37  percentage of distinct symbols occuring in initial UL: 92
% 0.13/0.37  percent of all initial clauses that are short: 100
% 0.13/0.37  absolute distinct symbol count: 13
% 0.13/0.37     distinct predicate count: 3
% 0.13/0.37     distinct function count: 3
% 0.13/0.37     distinct constant count: 7
% 0.13/0.37  
% 0.13/0.37  ---------- no more Softie stats ----------
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  =========== start of search ===========
% 0.19/0.44  
% 0.19/0.44  -------- PROOF -------- 
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  
% 0.19/0.44  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  ----> UNIT CONFLICT at   0.07 sec ----> 171 [binary,170.1,7.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  Length of proof is 2.  Level of proof is 2.
% 0.19/0.44  
% 0.19/0.44  ---------------- PROOF ----------------
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  
% 0.19/0.44  4 [] {+} A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 0.19/0.44  7 [] {+} -in($c7,cartesian_product2(set_intersection2($c6,$c4),set_intersection2($c5,$c3))).
% 0.19/0.44  20 [] {-} cartesian_product2(set_intersection2(A,B),set_intersection2(C,D))=set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)).
% 0.19/0.44  22,21 [copy,20,flip.1] {-} set_intersection2(cartesian_product2(A,B),cartesian_product2(C,D))=cartesian_product2(set_intersection2(A,C),set_intersection2(B,D)).
% 0.19/0.44  23 [] {-} in($c7,cartesian_product2($c6,$c5)).
% 0.19/0.44  24 [] {-} in($c7,cartesian_product2($c4,$c3)).
% 0.19/0.44  25 [] {+} A=A.
% 0.19/0.44  170 [hyper,24,4,25,23,demod,22] {-} in($c7,cartesian_product2(set_intersection2($c6,$c4),set_intersection2($c5,$c3))).
% 0.19/0.44  171 [binary,170.1,7.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation
% 0.19/0.44  ------------ end of proof -------------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  ============ end of search ============
% 0.19/0.44  
% 0.19/0.44  ----------- soft-scott stats ----------
% 0.19/0.44  
% 0.19/0.44  true clauses given           2      (25.0%)
% 0.19/0.44  false clauses given          6
% 0.19/0.44  
% 0.19/0.44        FALSE     TRUE
% 0.19/0.44     5  0         1
% 0.19/0.44     9  0         3
% 0.19/0.44    10  0         2
% 0.19/0.44    11  0         2
% 0.19/0.44    13  1         6
% 0.19/0.44    14  0         1
% 0.19/0.44    15  6         3
% 0.19/0.44    16  1         3
% 0.19/0.44    17  3         8
% 0.19/0.44    19  7         7
% 0.19/0.44    21  0         6
% 0.19/0.44    22  0         1
% 0.19/0.44    23  7         7
% 0.19/0.44    25  3         3
% 0.19/0.44    27  0         4
% 0.19/0.44    28  0         2
% 0.19/0.44    29  2         4
% 0.19/0.44    31  2         5
% 0.19/0.44    32  0         1
% 0.19/0.44    33  0         1
% 0.19/0.44    34  2         4
% 0.19/0.44    35  5         6
% 0.19/0.44    37  4         4
% 0.19/0.44    40  0         9
% 0.19/0.44    43  3         0
% 0.19/0.44    46  6         0
% 0.19/0.44  tot:  52        93      (64.1% true)
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  That finishes the proof of the theorem.
% 0.19/0.44  
% 0.19/0.44  Process 29786 finished Sun Jul 10 15:33:10 2022
%------------------------------------------------------------------------------