TSTP Solution File: SEU165+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 14:27:20 EDT 2022

% Result   : Theorem 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : sos-script %s
% 0.14/0.37  % Computer : n007.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jun 20 08:09:14 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.39  ----- Otter 3.2, August 2001 -----
% 0.14/0.39  The process was started by sandbox on n007.cluster.edu,
% 0.14/0.39  Mon Jun 20 08:09:14 2022
% 0.14/0.39  The command was "./sos".  The process ID is 13607.
% 0.14/0.39  
% 0.14/0.39  set(prolog_style_variables).
% 0.14/0.39  set(auto).
% 0.14/0.39     dependent: set(auto1).
% 0.14/0.39     dependent: set(process_input).
% 0.14/0.39     dependent: clear(print_kept).
% 0.14/0.39     dependent: clear(print_new_demod).
% 0.14/0.39     dependent: clear(print_back_demod).
% 0.14/0.39     dependent: clear(print_back_sub).
% 0.14/0.39     dependent: set(control_memory).
% 0.14/0.39     dependent: assign(max_mem, 12000).
% 0.14/0.39     dependent: assign(pick_given_ratio, 4).
% 0.14/0.39     dependent: assign(stats_level, 1).
% 0.14/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.39     dependent: assign(sos_limit, 5000).
% 0.14/0.39     dependent: assign(max_weight, 60).
% 0.14/0.39  clear(print_given).
% 0.14/0.39  
% 0.14/0.39  formula_list(usable).
% 0.14/0.39  
% 0.14/0.39  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.14/0.39  
% 0.14/0.39  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.39  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.39  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.39  clauses in usable.
% 0.14/0.39  
% 0.14/0.39     dependent: set(knuth_bendix).
% 0.14/0.39     dependent: set(para_from).
% 0.14/0.39     dependent: set(para_into).
% 0.14/0.39     dependent: clear(para_from_right).
% 0.14/0.39     dependent: clear(para_into_right).
% 0.14/0.39     dependent: set(para_from_vars).
% 0.14/0.39     dependent: set(eq_units_both_ways).
% 0.14/0.39     dependent: set(dynamic_demod_all).
% 0.14/0.39     dependent: set(dynamic_demod).
% 0.14/0.39     dependent: set(order_eq).
% 0.14/0.39     dependent: set(back_demod).
% 0.14/0.39     dependent: set(lrpo).
% 0.14/0.39     dependent: set(hyper_res).
% 0.14/0.39     dependent: set(unit_deletion).
% 0.14/0.39     dependent: set(factor).
% 0.14/0.39  
% 0.14/0.39  ------------> process usable:
% 0.14/0.39  
% 0.14/0.39  ------------> process sos:
% 0.14/0.39    Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.14/0.39    Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] {-} A=A.
% 0.14/0.39  
% 0.14/0.39  ======= end of input processing =======
% 0.22/0.43  
% 0.22/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.43  
% 0.22/0.43  Stopped by limit on number of solutions
% 0.22/0.43  
% 0.22/0.43  
% 0.22/0.43  -------------- Softie stats --------------
% 0.22/0.43  
% 0.22/0.43  UPDATE_STOP: 300
% 0.22/0.43  SFINDER_TIME_LIMIT: 2
% 0.22/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.43  number of clauses in intial UL: 9
% 0.22/0.43  number of clauses initially in problem: 16
% 0.22/0.43  percentage of clauses intially in UL: 56
% 0.22/0.43  percentage of distinct symbols occuring in initial UL: 69
% 0.22/0.43  percent of all initial clauses that are short: 100
% 0.22/0.43  absolute distinct symbol count: 13
% 0.22/0.43     distinct predicate count: 3
% 0.22/0.43     distinct function count: 4
% 0.22/0.43     distinct constant count: 6
% 0.22/0.43  
% 0.22/0.43  ---------- no more Softie stats ----------
% 0.22/0.43  
% 0.22/0.43  
% 0.22/0.43  
% 0.22/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.22/0.43  
% 0.22/0.43  Stopped by limit on number of solutions
% 0.22/0.43  
% 0.22/0.43  =========== start of search ===========
% 0.22/0.53  
% 0.22/0.53  -------- PROOF -------- 
% 0.22/0.53  % SZS status Theorem
% 0.22/0.53  % SZS output start Refutation
% 0.22/0.53  
% 0.22/0.53  Model 3 (0.00 seconds, 0 Inserts)
% 0.22/0.53  
% 0.22/0.53  Stopped by limit on number of solutions
% 0.22/0.53  
% 0.22/0.53  Model 4 (0.00 seconds, 0 Inserts)
% 0.22/0.53  
% 0.22/0.53  Stopped by limit on number of solutions
% 0.22/0.53  
% 0.22/0.53  Stopped by limit on insertions
% 0.22/0.53  
% 0.22/0.53  Model 5 [ 1 1 180 ] (0.00 seconds, 250000 Inserts)
% 0.22/0.53  
% 0.22/0.53  -----> EMPTY CLAUSE at   0.12 sec ----> 49 [hyper,34,4,26,32] {-} $F.
% 0.22/0.53  
% 0.22/0.53  Length of proof is 3.  Level of proof is 2.
% 0.22/0.53  
% 0.22/0.53  ---------------- PROOF ----------------
% 0.22/0.53  % SZS status Theorem
% 0.22/0.53  % SZS output start Refutation
% 0.22/0.53  
% 0.22/0.53  4 [] {+} -in(ordered_pair($c6,$c5),cartesian_product2($c4,$c3))| -in($c6,$c4)| -in($c5,$c3).
% 0.22/0.53  5 [] {+} -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 0.22/0.53  6 [] {+} -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 0.22/0.53  7 [] {+} in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 0.22/0.53  15 [] {-} in(ordered_pair($c6,$c5),cartesian_product2($c4,$c3))|in($c6,$c4).
% 0.22/0.53  16 [] {-} in(ordered_pair($c6,$c5),cartesian_product2($c4,$c3))|in($c5,$c3).
% 0.22/0.53  26 [hyper,15,5,factor_simp] {+} in($c6,$c4).
% 0.22/0.53  32 [hyper,16,6,factor_simp] {+} in($c5,$c3).
% 0.22/0.53  34 [hyper,16,7,26,factor_simp] {-} in(ordered_pair($c6,$c5),cartesian_product2($c4,$c3)).
% 0.22/0.53  49 [hyper,34,4,26,32] {-} $F.
% 0.22/0.53  
% 0.22/0.53  % SZS output end Refutation
% 0.22/0.53  ------------ end of proof -------------
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  Search stopped by max_proofs option.
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  Search stopped by max_proofs option.
% 0.22/0.53  
% 0.22/0.53  ============ end of search ============
% 0.22/0.53  
% 0.22/0.53  ----------- soft-scott stats ----------
% 0.22/0.53  
% 0.22/0.53  true clauses given           1      (10.0%)
% 0.22/0.53  false clauses given          9
% 0.22/0.53  
% 0.22/0.53        FALSE     TRUE
% 0.22/0.53     7  1         1
% 0.22/0.53    10  2         0
% 0.22/0.53    11  4         0
% 0.22/0.53    15  2         0
% 0.22/0.53  tot:  9         1      (10.0% true)
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  Model 5 [ 1 1 180 ] (0.00 seconds, 250000 Inserts)
% 0.22/0.53  
% 0.22/0.53  That finishes the proof of the theorem.
% 0.22/0.53  
% 0.22/0.53  Process 13607 finished Mon Jun 20 08:09:15 2022
%------------------------------------------------------------------------------