TSTP Solution File: KRS076+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:29:42 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command  : sos-script %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jun  7 13:36:49 EDT 2022
% 0.17/0.32  % CPUTime  : 
% 0.17/0.34  ----- Otter 3.2, August 2001 -----
% 0.17/0.34  The process was started by sandbox on n025.cluster.edu,
% 0.17/0.34  Tue Jun  7 13:36:49 2022
% 0.17/0.34  The command was "./sos".  The process ID is 9611.
% 0.17/0.34  
% 0.17/0.34  set(prolog_style_variables).
% 0.17/0.34  set(auto).
% 0.17/0.34     dependent: set(auto1).
% 0.17/0.34     dependent: set(process_input).
% 0.17/0.34     dependent: clear(print_kept).
% 0.17/0.34     dependent: clear(print_new_demod).
% 0.17/0.34     dependent: clear(print_back_demod).
% 0.17/0.34     dependent: clear(print_back_sub).
% 0.17/0.34     dependent: set(control_memory).
% 0.17/0.34     dependent: assign(max_mem, 12000).
% 0.17/0.34     dependent: assign(pick_given_ratio, 4).
% 0.17/0.34     dependent: assign(stats_level, 1).
% 0.17/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.17/0.34     dependent: assign(sos_limit, 5000).
% 0.17/0.34     dependent: assign(max_weight, 60).
% 0.17/0.34  clear(print_given).
% 0.17/0.34  
% 0.17/0.34  formula_list(usable).
% 0.17/0.34  
% 0.17/0.34  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.17/0.34  
% 0.17/0.34  This ia a non-Horn set with equality.  The strategy will be
% 0.17/0.34  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.17/0.34  unit deletion, with positive clauses in sos and nonpositive
% 0.17/0.34  clauses in usable.
% 0.17/0.34  
% 0.17/0.34     dependent: set(knuth_bendix).
% 0.17/0.34     dependent: set(para_from).
% 0.17/0.34     dependent: set(para_into).
% 0.17/0.34     dependent: clear(para_from_right).
% 0.17/0.34     dependent: clear(para_into_right).
% 0.17/0.34     dependent: set(para_from_vars).
% 0.17/0.34     dependent: set(eq_units_both_ways).
% 0.17/0.34     dependent: set(dynamic_demod_all).
% 0.17/0.34     dependent: set(dynamic_demod).
% 0.17/0.34     dependent: set(order_eq).
% 0.17/0.34     dependent: set(back_demod).
% 0.17/0.34     dependent: set(lrpo).
% 0.17/0.34     dependent: set(hyper_res).
% 0.17/0.34     dependent: set(unit_deletion).
% 0.17/0.34     dependent: set(factor).
% 0.17/0.34  
% 0.17/0.34  ------------> process usable:
% 0.17/0.34  19 back subsumes 2.
% 0.17/0.34  
% 0.17/0.34  ------------> process sos:
% 0.17/0.34  43 back subsumes 26.
% 0.17/0.34  43 back subsumes 3.
% 0.17/0.34    Following clause subsumed by 46 during input processing: 0 [copy,46,flip.1] {-} A=A.
% 0.17/0.34  46 back subsumes 42.
% 0.17/0.34  46 back subsumes 41.
% 0.17/0.34  46 back subsumes 40.
% 0.17/0.34  
% 0.17/0.34  ======= end of input processing =======
% 0.17/0.37  
% 0.17/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.17/0.37  
% 0.17/0.37  Stopped by limit on number of solutions
% 0.17/0.37  
% 0.17/0.37  
% 0.17/0.37  -------------- Softie stats --------------
% 0.17/0.37  
% 0.17/0.37  UPDATE_STOP: 300
% 0.17/0.37  SFINDER_TIME_LIMIT: 2
% 0.17/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.17/0.37  number of clauses in intial UL: 36
% 0.17/0.37  number of clauses initially in problem: 40
% 0.17/0.37  percentage of clauses intially in UL: 90
% 0.17/0.37  percentage of distinct symbols occuring in initial UL: 94
% 0.17/0.37  percent of all initial clauses that are short: 100
% 0.17/0.37  absolute distinct symbol count: 18
% 0.17/0.37     distinct predicate count: 13
% 0.17/0.37     distinct function count: 4
% 0.17/0.37     distinct constant count: 1
% 0.17/0.37  
% 0.17/0.37  ---------- no more Softie stats ----------
% 0.17/0.37  
% 0.17/0.37  
% 0.17/0.37  
% 0.17/0.37  =========== start of search ===========
% 0.18/0.48  
% 0.18/0.48  -------- PROOF -------- 
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  % SZS output start Refutation
% 0.18/0.48  
% 0.18/0.48  Model 2 [ 1 1 689 ] (0.00 seconds, 7646 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 3 [ 1 0 580 ] (0.00 seconds, 5752 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 4 [ 1 1 578 ] (0.00 seconds, 7798 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 5 [ 1 1 699 ] (0.00 seconds, 10313 Inserts)
% 0.18/0.48  
% 0.18/0.48  Model 6 [ 1 2 16870 ] (0.00 seconds, 31935 Inserts)
% 0.18/0.48  
% 0.18/0.48  -----> EMPTY CLAUSE at   0.13 sec ----> 213 [para_from,151.1.1,24.2.1,unit_del,45,137] {-} $F.
% 0.18/0.48  
% 0.18/0.48  Length of proof is 10.  Level of proof is 6.
% 0.18/0.48  
% 0.18/0.48  ---------------- PROOF ----------------
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  % SZS output start Refutation
% 0.18/0.48  
% 0.18/0.48  21 [] {+} -cUnsatisfiable(A)|rf(A,$f1(A)).
% 0.18/0.48  22 [] {+} -cUnsatisfiable(A)|cp($f1(A)).
% 0.18/0.48  23 [] {+} -cUnsatisfiable(A)|rf1(A,$f3(A)).
% 0.18/0.48  24 [] {+} -cUnsatisfiable(A)| -cp($f3(A)).
% 0.18/0.48  25 [] {+} -cUnsatisfiable(A)| -rinvF1($f3(A),B)|rs(B,$f2(A,B)).
% 0.18/0.48  29 [] {+} -rf(A,B)| -rf(A,C)|B=C.
% 0.18/0.48  30 [] {+} -rf1(A,B)| -rf1(A,C)|B=C.
% 0.18/0.48  34 [] {+} rinvF1(A,B)| -rf1(B,A).
% 0.18/0.48  38 [] {+} -rs(A,B)|rf1(A,B).
% 0.18/0.48  39 [] {+} -rs(A,B)|rf(A,B).
% 0.18/0.48  45 [] {-} cUnsatisfiable(i2003_11_14_17_19_06193).
% 0.18/0.48  47 [hyper,45,23] {+} rf1(i2003_11_14_17_19_06193,$f3(i2003_11_14_17_19_06193)).
% 0.18/0.48  48 [hyper,45,22] {+} cp($f1(i2003_11_14_17_19_06193)).
% 0.18/0.48  49 [hyper,45,21] {+} rf(i2003_11_14_17_19_06193,$f1(i2003_11_14_17_19_06193)).
% 0.18/0.48  69 [hyper,47,34] {+} rinvF1($f3(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193).
% 0.18/0.48  91 [hyper,69,25,45] {+} rs(i2003_11_14_17_19_06193,$f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)).
% 0.18/0.48  104 [hyper,91,39] {+} rf(i2003_11_14_17_19_06193,$f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)).
% 0.18/0.48  105 [hyper,91,38] {+} rf1(i2003_11_14_17_19_06193,$f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)).
% 0.18/0.48  121,120 [hyper,104,29,49] {+} $f1(i2003_11_14_17_19_06193)=$f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193).
% 0.18/0.48  137 [back_demod,48,demod,121] {+} cp($f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)).
% 0.18/0.48  151 [hyper,105,30,47] {+} $f3(i2003_11_14_17_19_06193)=$f2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193).
% 0.18/0.48  213 [para_from,151.1.1,24.2.1,unit_del,45,137] {-} $F.
% 0.18/0.48  
% 0.18/0.48  % SZS output end Refutation
% 0.18/0.48  ------------ end of proof -------------
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Search stopped by max_proofs option.
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Search stopped by max_proofs option.
% 0.18/0.48  
% 0.18/0.48  ============ end of search ============
% 0.18/0.48  
% 0.18/0.48  ----------- soft-scott stats ----------
% 0.18/0.48  
% 0.18/0.48  true clauses given          16      (72.7%)
% 0.18/0.48  false clauses given          6
% 0.18/0.48  
% 0.18/0.48        FALSE     TRUE
% 0.18/0.48     9  0         5
% 0.18/0.48    10  0         45
% 0.18/0.48    11  0         72
% 0.18/0.48    12  0         5
% 0.18/0.48    14  0         9
% 0.18/0.48    15  0         6
% 0.18/0.48  tot:  0         142      (100.0% true)
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Model 6 [ 1 2 16870 ] (0.00 seconds, 31935 Inserts)
% 0.18/0.48  
% 0.18/0.48  That finishes the proof of the theorem.
% 0.18/0.48  
% 0.18/0.48  Process 9611 finished Tue Jun  7 13:36:49 2022
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