TSTP Solution File: KRS082+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 03:29:43 EDT 2022

% Result   : Unsatisfiable 2.04s 2.22s
% Output   : Refutation 2.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS082+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 18:38:16 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n026.cluster.edu,
% 0.13/0.37  Tue Jun  7 18:38:16 2022
% 0.13/0.37  The command was "./sos".  The process ID is 9430.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.13/0.37  
% 0.13/0.37  This is a non-Horn set without equality.  The strategy
% 0.13/0.37  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.37  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37  23 back subsumes 13.
% 0.13/0.37  23 back subsumes 10.
% 0.13/0.37  23 back subsumes 8.
% 0.13/0.37  23 back subsumes 5.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.20/0.43  
% 0.20/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.43  
% 0.20/0.43  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  -------------- Softie stats --------------
% 0.20/0.43  
% 0.20/0.43  UPDATE_STOP: 300
% 0.20/0.43  SFINDER_TIME_LIMIT: 2
% 0.20/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.43  number of clauses in intial UL: 18
% 0.20/0.43  number of clauses initially in problem: 25
% 0.20/0.43  percentage of clauses intially in UL: 72
% 0.20/0.43  percentage of distinct symbols occuring in initial UL: 77
% 0.20/0.43  percent of all initial clauses that are short: 100
% 0.20/0.43  absolute distinct symbol count: 22
% 0.20/0.43     distinct predicate count: 13
% 0.20/0.43     distinct function count: 8
% 0.20/0.43     distinct constant count: 1
% 0.20/0.43  
% 0.20/0.43  ---------- no more Softie stats ----------
% 0.20/0.43  
% 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  Stopped by limit on number of solutions
% 0.20/0.43  
% 0.20/0.43  =========== start of search ===========
% 2.04/2.22  
% 2.04/2.22  -------- PROOF -------- 
% 2.04/2.22  % SZS status Theorem
% 2.04/2.22  % SZS output start Refutation
% 2.04/2.22  
% 2.04/2.22  Model 3 [ 1 1 11602 ] (0.00 seconds, 105872 Inserts)
% 2.04/2.22  
% 2.04/2.22  Model 4 [ 1 2 10826 ] (0.00 seconds, 208574 Inserts)
% 2.04/2.22  
% 2.04/2.22  Model 5 [ 1 1 8379 ] (0.00 seconds, 29926 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 6 [ 2 1 7719 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 7 [ 1 1 7167 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 8 [ 2 0 318 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 9 [ 5 1 10144 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 10 [ 2 1 13839 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 11 [ 2 11 130681 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 12 [ 3 1 5097 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 13 [ 8 1 16316 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 14 [ 5 1 13964 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  Model 15 [ 4 21 196725 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  Stopped by limit on insertions
% 2.04/2.22  
% 2.04/2.22  -----> EMPTY CLAUSE at   1.83 sec ----> 47 [hyper,42,15,43,37,34,30] {-} $F.
% 2.04/2.22  
% 2.04/2.22  Length of proof is 8.  Level of proof is 3.
% 2.04/2.22  
% 2.04/2.22  ---------------- PROOF ----------------
% 2.04/2.22  % SZS status Theorem
% 2.04/2.22  % SZS output start Refutation
% 2.04/2.22  
% 2.04/2.22  3 [] {+} -cUnsatisfiable(A)|rs(A,$f5(A)).
% 2.04/2.22  4 [] {+} -cUnsatisfiable(A)|rp($f5(A),$f1(A)).
% 2.04/2.22  7 [] {+} -cUnsatisfiable(A)| -rp($f5(A),B)|rr(B,$f2(A,B)).
% 2.04/2.22  11 [] {+} -cUnsatisfiable(A)| -rp($f5(A),B)| -rr(B,C)|cc(C).
% 2.04/2.22  14 [] {+} -cUnsatisfiable(A)|ca(A).
% 2.04/2.22  15 [] {+} -cc(A)| -rinvR(A,B)| -rinvP(B,C)| -rinvS(C,D)| -ca(D).
% 2.04/2.22  17 [] {+} rinvP(A,B)| -rp(B,A).
% 2.04/2.22  19 [] {+} rinvR(A,B)| -rr(B,A).
% 2.04/2.22  21 [] {+} rinvS(A,B)| -rs(B,A).
% 2.04/2.22  29 [] {-} cUnsatisfiable(i2003_11_14_17_19_28752).
% 2.04/2.22  30 [hyper,29,14] {+} ca(i2003_11_14_17_19_28752).
% 2.04/2.22  32 [hyper,29,4] {+} rp($f5(i2003_11_14_17_19_28752),$f1(i2003_11_14_17_19_28752)).
% 2.04/2.22  33 [hyper,29,3] {+} rs(i2003_11_14_17_19_28752,$f5(i2003_11_14_17_19_28752)).
% 2.04/2.22  34 [hyper,33,21] {+} rinvS($f5(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752).
% 2.04/2.22  37 [hyper,32,17] {+} rinvP($f1(i2003_11_14_17_19_28752),$f5(i2003_11_14_17_19_28752)).
% 2.04/2.22  39 [hyper,32,7,29] {+} rr($f1(i2003_11_14_17_19_28752),$f2(i2003_11_14_17_19_28752,$f1(i2003_11_14_17_19_28752))).
% 2.04/2.22  42 [hyper,39,19] {+} rinvR($f2(i2003_11_14_17_19_28752,$f1(i2003_11_14_17_19_28752)),$f1(i2003_11_14_17_19_28752)).
% 2.04/2.22  43 [hyper,39,11,29,32] {-} cc($f2(i2003_11_14_17_19_28752,$f1(i2003_11_14_17_19_28752))).
% 2.04/2.22  47 [hyper,42,15,43,37,34,30] {-} $F.
% 2.04/2.22  
% 2.04/2.22  % SZS output end Refutation
% 2.04/2.22  ------------ end of proof -------------
% 2.04/2.22  
% 2.04/2.22  
% 2.04/2.22  Search stopped by max_proofs option.
% 2.04/2.22  
% 2.04/2.22  
% 2.04/2.22  Search stopped by max_proofs option.
% 2.04/2.22  
% 2.04/2.22  ============ end of search ============
% 2.04/2.22  
% 2.04/2.22  ----------- soft-scott stats ----------
% 2.04/2.22  
% 2.04/2.22  true clauses given           5      (23.8%)
% 2.04/2.22  false clauses given         16
% 2.04/2.22  
% 2.04/2.22        FALSE     TRUE
% 2.04/2.22     7  0         1
% 2.04/2.22    11  0         2
% 2.04/2.22  tot:  0         3      (100.0% true)
% 2.04/2.22  
% 2.04/2.22  
% 2.04/2.22  Model 15 [ 4 -2 196725 ] (0.00 seconds, 250000 Inserts)
% 2.04/2.22  
% 2.04/2.22  That finishes the proof of the theorem.
% 2.04/2.22  
% 2.04/2.22  Process 9430 finished Tue Jun  7 18:38:18 2022
%------------------------------------------------------------------------------