TSTP Solution File: SEU160+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 14:27:17 EDT 2022

% Result   : Theorem 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 07:52:25 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.37  ----- Otter 3.2, August 2001 -----
% 0.20/0.37  The process was started by sandbox2 on n006.cluster.edu,
% 0.20/0.37  Sun Jun 19 07:52:25 2022
% 0.20/0.37  The command was "./sos".  The process ID is 4484.
% 0.20/0.37  
% 0.20/0.37  set(prolog_style_variables).
% 0.20/0.37  set(auto).
% 0.20/0.37     dependent: set(auto1).
% 0.20/0.37     dependent: set(process_input).
% 0.20/0.37     dependent: clear(print_kept).
% 0.20/0.37     dependent: clear(print_new_demod).
% 0.20/0.37     dependent: clear(print_back_demod).
% 0.20/0.37     dependent: clear(print_back_sub).
% 0.20/0.37     dependent: set(control_memory).
% 0.20/0.37     dependent: assign(max_mem, 12000).
% 0.20/0.37     dependent: assign(pick_given_ratio, 4).
% 0.20/0.37     dependent: assign(stats_level, 1).
% 0.20/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37     dependent: assign(sos_limit, 5000).
% 0.20/0.37     dependent: assign(max_weight, 60).
% 0.20/0.37  clear(print_given).
% 0.20/0.37  
% 0.20/0.37  formula_list(usable).
% 0.20/0.37  
% 0.20/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.20/0.37  
% 0.20/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.20/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.37  clauses in usable.
% 0.20/0.37  
% 0.20/0.37     dependent: set(knuth_bendix).
% 0.20/0.37     dependent: set(para_from).
% 0.20/0.37     dependent: set(para_into).
% 0.20/0.37     dependent: clear(para_from_right).
% 0.20/0.37     dependent: clear(para_into_right).
% 0.20/0.37     dependent: set(para_from_vars).
% 0.20/0.37     dependent: set(eq_units_both_ways).
% 0.20/0.37     dependent: set(dynamic_demod_all).
% 0.20/0.37     dependent: set(dynamic_demod).
% 0.20/0.37     dependent: set(order_eq).
% 0.20/0.37     dependent: set(back_demod).
% 0.20/0.37     dependent: set(lrpo).
% 0.20/0.37     dependent: set(hyper_res).
% 0.20/0.37     dependent: set(unit_deletion).
% 0.20/0.37     dependent: set(factor).
% 0.20/0.37  
% 0.20/0.37  ------------> process usable:
% 0.20/0.37  
% 0.20/0.37  ------------> process sos:
% 0.20/0.37    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} A=A.
% 0.20/0.37  
% 0.20/0.37  ======= end of input processing =======
% 0.20/0.41  
% 0.20/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  -------------- Softie stats --------------
% 0.20/0.41  
% 0.20/0.41  UPDATE_STOP: 300
% 0.20/0.41  SFINDER_TIME_LIMIT: 2
% 0.20/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41  number of clauses in intial UL: 6
% 0.20/0.41  number of clauses initially in problem: 11
% 0.20/0.41  percentage of clauses intially in UL: 54
% 0.20/0.41  percentage of distinct symbols occuring in initial UL: 88
% 0.20/0.41  percent of all initial clauses that are short: 100
% 0.20/0.41  absolute distinct symbol count: 9
% 0.20/0.41     distinct predicate count: 3
% 0.20/0.41     distinct function count: 1
% 0.20/0.41     distinct constant count: 5
% 0.20/0.41  
% 0.20/0.41  ---------- no more Softie stats ----------
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  =========== start of search ===========
% 0.20/0.43  
% 0.20/0.43  -------- PROOF -------- 
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  % SZS output start Refutation
% 0.20/0.43  
% 0.20/0.43  -----> EMPTY CLAUSE at   0.03 sec ----> 193 [back_demod,5,demod,153,153,unit_del,9,14] {-} $F.
% 0.20/0.43  
% 0.20/0.43  Length of proof is 7.  Level of proof is 4.
% 0.20/0.43  
% 0.20/0.43  ---------------- PROOF ----------------
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  % SZS output start Refutation
% 0.20/0.43  
% 0.20/0.43  2 [] {-} -subset($c4,singleton($c3))|$c4!=empty_set.
% 0.20/0.43  3 [copy,2,flip.2] {+} -subset($c4,singleton($c3))|empty_set!=$c4.
% 0.20/0.43  4 [] {-} -subset($c4,singleton($c3))|$c4!=singleton($c3).
% 0.20/0.43  5 [copy,4,flip.2] {+} -subset($c4,singleton($c3))|singleton($c3)!=$c4.
% 0.20/0.43  6 [] {+} -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 0.20/0.43  7 [] {+} subset(A,singleton(B))|A!=empty_set.
% 0.20/0.43  9 [] {+} subset(A,A).
% 0.20/0.43  12 [] {-} subset($c4,singleton($c3))|$c4=empty_set|$c4=singleton($c3).
% 0.20/0.43  13 [copy,12,flip.2,flip.3] {-} subset($c4,singleton($c3))|empty_set=$c4|singleton($c3)=$c4.
% 0.20/0.43  14 [] {+} A=A.
% 0.20/0.43  15 [hyper,13,6,factor_simp,factor_simp] {-} empty_set=$c4|singleton($c3)=$c4.
% 0.20/0.43  75 [hyper,14,7] {+} subset(empty_set,singleton(A)).
% 0.20/0.43  145 [para_into,75.1.1,15.1.1] {-} subset($c4,singleton(A))|singleton($c3)=$c4.
% 0.20/0.43  153,152 [hyper,145,3,15,factor_simp] {-} singleton($c3)=$c4.
% 0.20/0.43  193 [back_demod,5,demod,153,153,unit_del,9,14] {-} $F.
% 0.20/0.43  
% 0.20/0.43  % SZS output end Refutation
% 0.20/0.43  ------------ end of proof -------------
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Search stopped by max_proofs option.
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Search stopped by max_proofs option.
% 0.20/0.43  
% 0.20/0.43  ============ end of search ============
% 0.20/0.43  
% 0.20/0.43  ----------- soft-scott stats ----------
% 0.20/0.43  
% 0.20/0.43  true clauses given           5      (35.7%)
% 0.20/0.43  false clauses given          9
% 0.20/0.43  
% 0.20/0.43        FALSE     TRUE
% 0.20/0.43     6  0         2
% 0.20/0.43     7  0         2
% 0.20/0.43     8  0         1
% 0.20/0.43     9  0         1
% 0.20/0.43    10  0         3
% 0.20/0.43    11  0         2
% 0.20/0.43    12  0         3
% 0.20/0.43    13  2         5
% 0.20/0.43    14  2         6
% 0.20/0.43    15  3         2
% 0.20/0.43    16  1         6
% 0.20/0.43    17  0         9
% 0.20/0.43    18  0         11
% 0.20/0.43    19  3         13
% 0.20/0.43    20  5         9
% 0.20/0.43    21  2         8
% 0.20/0.43    22  1         9
% 0.20/0.43    23  4         4
% 0.20/0.43    24  0         3
% 0.20/0.43    25  0         1
% 0.20/0.43  tot:  23        100      (81.3% true)
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  That finishes the proof of the theorem.
% 0.20/0.43  
% 0.20/0.43  Process 4484 finished Sun Jun 19 07:52:25 2022
%------------------------------------------------------------------------------