TSTP Solution File: SYN572-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n013.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 : Thu Jul 21 12:14:13 EDT 2022

% Result   : Unsatisfiable 2.73s 2.92s
% Output   : Refutation 2.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 04:27:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n013.cluster.edu,
% 0.12/0.35  Tue Jul 12 04:27:14 2022
% 0.12/0.35  The command was "./sos".  The process ID is 26718.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.55  
% 0.19/0.55  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.55  
% 0.19/0.55  Stopped by limit on number of solutions
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  -------------- Softie stats --------------
% 0.19/0.55  
% 0.19/0.55  UPDATE_STOP: 300
% 0.19/0.55  SFINDER_TIME_LIMIT: 2
% 0.19/0.55  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.55  number of clauses in intial UL: 12
% 0.19/0.55  number of clauses initially in problem: 20
% 0.19/0.55  percentage of clauses intially in UL: 60
% 0.19/0.55  percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.55  percent of all initial clauses that are short: 100
% 0.19/0.55  absolute distinct symbol count: 14
% 0.19/0.55     distinct predicate count: 4
% 0.19/0.55     distinct function count: 7
% 0.19/0.55     distinct constant count: 3
% 0.19/0.55  
% 0.19/0.55  ---------- no more Softie stats ----------
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  Stopped by limit on insertions
% 0.19/0.55  
% 0.19/0.55  =========== start of search ===========
% 0.79/0.98  
% 0.79/0.98  
% 0.79/0.98  Changing weight limit from 60 to 33.
% 0.79/0.98  
% 0.79/0.98  Stopped by limit on insertions
% 0.79/0.98  
% 0.79/0.98  Model 2 [ 1 0 150 ] (0.00 seconds, 250000 Inserts)
% 0.79/0.98  
% 0.79/0.98  Resetting weight limit to 33 after 155 givens.
% 0.79/0.98  
% 0.91/1.12  
% 0.91/1.12  
% 0.91/1.12  Changing weight limit from 33 to 32.
% 0.91/1.12  
% 0.91/1.12  Resetting weight limit to 32 after 170 givens.
% 0.91/1.12  
% 0.91/1.15  
% 0.91/1.15  
% 0.91/1.15  Changing weight limit from 32 to 31.
% 0.91/1.15  
% 0.91/1.15  Resetting weight limit to 31 after 175 givens.
% 0.91/1.15  
% 0.98/1.17  
% 0.98/1.17  
% 0.98/1.17  Changing weight limit from 31 to 30.
% 0.98/1.17  
% 0.98/1.17  Resetting weight limit to 30 after 185 givens.
% 0.98/1.17  
% 1.02/1.20  
% 1.02/1.20  
% 1.02/1.20  Changing weight limit from 30 to 29.
% 1.02/1.20  
% 1.02/1.20  Resetting weight limit to 29 after 190 givens.
% 1.02/1.20  
% 1.07/1.24  
% 1.07/1.24  
% 1.07/1.24  Changing weight limit from 29 to 28.
% 1.07/1.24  
% 1.07/1.24  Resetting weight limit to 28 after 200 givens.
% 1.07/1.24  
% 1.07/1.28  
% 1.07/1.28  
% 1.07/1.28  Changing weight limit from 28 to 27.
% 1.07/1.28  
% 1.07/1.28  Resetting weight limit to 27 after 210 givens.
% 1.07/1.28  
% 1.14/1.33  
% 1.14/1.33  
% 1.14/1.33  Changing weight limit from 27 to 25.
% 1.14/1.33  
% 1.14/1.33  Resetting weight limit to 25 after 215 givens.
% 1.14/1.33  
% 1.20/1.37  
% 1.20/1.37  
% 1.20/1.37  Changing weight limit from 25 to 24.
% 1.20/1.37  
% 1.20/1.37  Resetting weight limit to 24 after 225 givens.
% 1.20/1.37  
% 1.20/1.43  
% 1.20/1.43  
% 1.20/1.43  Changing weight limit from 24 to 23.
% 1.20/1.43  
% 1.20/1.43  Resetting weight limit to 23 after 230 givens.
% 1.20/1.43  
% 1.51/1.69  
% 1.51/1.69  
% 1.51/1.69  Changing weight limit from 23 to 22.
% 1.51/1.69  
% 1.51/1.69  Resetting weight limit to 22 after 300 givens.
% 1.51/1.69  
% 2.12/2.29  
% 2.12/2.29  
% 2.12/2.29  Changing weight limit from 22 to 21.
% 2.12/2.29  
% 2.12/2.29  Resetting weight limit to 21 after 485 givens.
% 2.12/2.29  
% 2.57/2.83  
% 2.57/2.83  
% 2.57/2.83  Changing weight limit from 21 to 20.
% 2.57/2.83  
% 2.57/2.83  Modelling stopped after 300 given clauses and 0.00 seconds
% 2.57/2.83  
% 2.57/2.83  
% 2.57/2.83  Resetting weight limit to 20 after 600 givens.
% 2.57/2.83  
% 2.73/2.92  
% 2.73/2.92  -------- PROOF -------- 
% 2.73/2.92  % SZS status Unsatisfiable
% 2.73/2.92  % SZS output start Refutation
% 2.73/2.92  
% 2.73/2.92  ----> UNIT CONFLICT at   2.42 sec ----> 21068 [binary,21067.1,9.1] {+} $F.
% 2.73/2.92  
% 2.73/2.92  Length of proof is 23.  Level of proof is 9.
% 2.73/2.92  
% 2.73/2.92  ---------------- PROOF ----------------
% 2.73/2.92  % SZS status Unsatisfiable
% 2.73/2.92  % SZS output start Refutation
% 2.73/2.92  
% 2.73/2.92  4 [] {+} p4(f10(A),f10(B))| -p2(A,B).
% 2.73/2.92  6 [] {+} p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.73/2.92  8 [] {+} p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.73/2.92  9 [] {+} -p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))).
% 2.73/2.92  10 [] {+} p12(A,B)| -p4(C,A)| -p4(D,B)| -p12(C,D).
% 2.73/2.92  11 [] {+} p4(f11(A,B),f11(C,D))| -p4(A,C)| -p4(B,D).
% 2.73/2.92  12 [] {+} p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 2.73/2.92  13 [] {-} p2(A,A).
% 2.73/2.92  15 [] {+} p4(A,A).
% 2.73/2.92  16 [] {+} p4(f10(f9(A)),f10(A)).
% 2.73/2.92  17 [] {-} p2(f3(A,f5(f7(f8(c13)))),A).
% 2.73/2.92  18 [] {+} p2(f3(A,f9(A)),f5(f7(f8(c13)))).
% 2.73/2.92  19 [] {-} p12(f10(f3(A,B)),f11(f10(A),f10(B))).
% 2.73/2.92  20 [] {+} p2(f3(A,f3(B,C)),f3(f3(A,B),C)).
% 2.73/2.92  28 [hyper,16,11,15] {+} p4(f11(A,f10(f9(B))),f11(A,f10(B))).
% 2.73/2.92  30 [hyper,16,8,15] {+} p4(f10(A),f10(f9(A))).
% 2.73/2.92  32 [hyper,30,11,30] {+} p4(f11(f10(A),f10(B)),f11(f10(f9(A)),f10(f9(B)))).
% 2.73/2.92  35 [hyper,30,11,16] {+} p4(f11(f10(A),f10(f9(B))),f11(f10(f9(A)),f10(B))).
% 2.73/2.92  36 [hyper,30,11,15] {+} p4(f11(f10(A),B),f11(f10(f9(A)),B)).
% 2.73/2.92  37 [hyper,30,10,15,19] {-} p12(f10(f9(f3(A,B))),f11(f10(A),f10(B))).
% 2.73/2.92  38 [hyper,30,8,16] {+} p4(f10(A),f10(f9(f9(A)))).
% 2.73/2.92  39 [hyper,30,8,16] {+} p4(f10(f9(f9(A))),f10(A)).
% 2.73/2.92  41 [hyper,37,10,30,15] {-} p12(f10(f9(f9(f3(A,B)))),f11(f10(A),f10(B))).
% 2.73/2.92  51 [hyper,38,8,16] {+} p4(f10(f9(f9(f9(A)))),f10(A)).
% 2.73/2.92  53 [hyper,41,10,38,15] {-} p12(f10(f9(f9(f9(f9(f3(A,B)))))),f11(f10(A),f10(B))).
% 2.73/2.92  59 [hyper,18,6,13] {+} p2(f5(f7(f8(c13))),f3(A,f9(A))).
% 2.73/2.92  72 [hyper,39,8,38] {+} p4(f10(f9(f9(f9(f9(A))))),f10(A)).
% 2.73/2.92  343 [hyper,51,11,15] {+} p4(f11(f10(f9(f9(f9(A)))),B),f11(f10(A),B)).
% 2.73/2.92  482 [hyper,59,12,13] {+} p2(f3(A,f5(f7(f8(c13)))),f3(A,f3(B,f9(B)))).
% 2.73/2.92  755 [hyper,32,10,72,53] {-} p12(f10(f3(A,B)),f11(f10(f9(A)),f10(f9(B)))).
% 2.73/2.92  794 [hyper,755,10,30,28] {-} p12(f10(f9(f3(A,B))),f11(f10(f9(A)),f10(B))).
% 2.73/2.92  1100 [hyper,36,10,16,794] {-} p12(f10(f3(A,B)),f11(f10(f9(f9(A))),f10(B))).
% 2.73/2.92  1454 [hyper,1100,10,15,35] {-} p12(f10(f3(A,f9(B))),f11(f10(f9(f9(f9(A)))),f10(B))).
% 2.73/2.92  17150 [hyper,482,6,17] {-} p2(f3(A,f3(B,f9(B))),A).
% 2.73/2.92  17501 [hyper,17150,6,20] {-} p2(f3(f3(A,B),f9(B)),A).
% 2.73/2.92  17692 [hyper,17501,4] {+} p4(f10(f3(f3(A,B),f9(B))),f10(A)).
% 2.73/2.92  21067 [hyper,17692,10,343,1454] {-} p12(f10(A),f11(f10(f3(A,B)),f10(B))).
% 2.73/2.92  21068 [binary,21067.1,9.1] {+} $F.
% 2.73/2.92  
% 2.73/2.92  % SZS output end Refutation
% 2.73/2.92  ------------ end of proof -------------
% 2.73/2.92  
% 2.73/2.92  
% 2.73/2.92  Search stopped by max_proofs option.
% 2.73/2.92  
% 2.73/2.92  
% 2.73/2.92  Search stopped by max_proofs option.
% 2.73/2.92  
% 2.73/2.92  ============ end of search ============
% 2.73/2.92  
% 2.73/2.92  ----------- soft-scott stats ----------
% 2.73/2.92  
% 2.73/2.92  true clauses given         245      (40.0%)
% 2.73/2.92  false clauses given        368
% 2.73/2.92  
% 2.73/2.92        FALSE     TRUE
% 2.73/2.92    10  0         3
% 2.73/2.92    11  0         10
% 2.73/2.92    12  0         26
% 2.73/2.92    13  28        115
% 2.73/2.92    14  20        261
% 2.73/2.92    15  27        320
% 2.73/2.92    16  88        448
% 2.73/2.92    17  355       692
% 2.73/2.92    18  599       642
% 2.73/2.92    19  761       28
% 2.73/2.92    20  659       36
% 2.73/2.92  tot:  2537      2581      (50.4% true)
% 2.73/2.92  
% 2.73/2.92  
% 2.73/2.92  Model 2 [ 1 0 150 ] (0.00 seconds, 250000 Inserts)
% 2.73/2.92  
% 2.73/2.92  That finishes the proof of the theorem.
% 2.73/2.92  
% 2.73/2.92  Process 26718 finished Tue Jul 12 04:27:17 2022
%------------------------------------------------------------------------------