TSTP Solution File: SYN012-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n012.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 12:09:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n012.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 01:13:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n012.cluster.edu,
% 0.13/0.36  Tue Jul 12 01:13:27 2022
% 0.13/0.36  The command was "./sos".  The process ID is 3409.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a non-Horn set without equality.  The strategy
% 0.13/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 5
% 0.13/0.40  number of clauses initially in problem: 7
% 0.13/0.40  percentage of clauses intially in UL: 71
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 3
% 0.13/0.40     distinct predicate count: 2
% 0.13/0.40     distinct function count: 1
% 0.13/0.40     distinct constant count: 0
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 0.20/0.53  
% 0.20/0.53  -------- PROOF -------- 
% 0.20/0.53  % SZS status Unsatisfiable
% 0.20/0.53  % SZS output start Refutation
% 0.20/0.53  
% 0.20/0.53  Model 3 [ 2 0 146 ] (0.00 seconds, 4242 Inserts)
% 0.20/0.53  
% 0.20/0.53  Model 4 [ 4 1 99 ] (0.00 seconds, 15108 Inserts)
% 0.20/0.53  
% 0.20/0.53  Model 5 [ 4 1 493 ] (0.00 seconds, 15099 Inserts)
% 0.20/0.53  
% 0.20/0.53  Model 6 [ 18 1 730 ] (0.00 seconds, 2011 Inserts)
% 0.20/0.53  
% 0.20/0.53  Model 7 [ 6 0 204 ] (0.00 seconds, 7271 Inserts)
% 0.20/0.53  
% 0.20/0.53  -----> EMPTY CLAUSE at   0.14 sec ----> 77 [hyper,66,5,66] {-} $F.
% 0.20/0.53  
% 0.20/0.53  Length of proof is 8.  Level of proof is 8.
% 0.20/0.53  
% 0.20/0.53  ---------------- PROOF ----------------
% 0.20/0.53  % SZS status Unsatisfiable
% 0.20/0.53  % SZS output start Refutation
% 0.20/0.53  
% 0.20/0.53  1 [] {+} -big_f(A,B)| -big_f(A,g(A,B))|big_g(B,g(A,B)).
% 0.20/0.53  2 [] {+} -big_f(A,B)|big_f(A,g(A,B))| -big_g(B,g(A,B)).
% 0.20/0.53  3 [] {+} -big_f(A,B)| -big_f(g(A,B),g(A,B))|big_g(g(A,B),g(A,B)).
% 0.20/0.53  4 [] {+} big_f(A,B)| -big_g(g(A,B),g(A,B)).
% 0.20/0.53  5 [] {+} -big_g(A,B)| -big_g(g(A,B),g(A,B)).
% 0.20/0.53  6 [] {+} big_f(A,B)|big_f(g(A,B),g(A,B)).
% 0.20/0.53  7 [] {-} big_g(A,B)|big_g(g(A,B),g(A,B)).
% 0.20/0.53  15 [hyper,7,4] {-} big_g(A,B)|big_f(A,B).
% 0.20/0.53  18 [hyper,15,2,6] {+} big_f(A,g(B,A))|big_f(B,g(B,A))|big_f(g(B,A),g(B,A)).
% 0.20/0.53  19 [factor,18.1.2] {+} big_f(A,g(A,A))|big_f(g(A,A),g(A,A)).
% 0.20/0.53  25 [hyper,19,1,6,factor_simp] {+} big_f(g(A,A),g(A,A))|big_g(A,g(A,A)).
% 0.20/0.53  31 [hyper,25,5,15] {+} big_f(g(A,A),g(A,A))|big_f(g(A,g(A,A)),g(A,g(A,A))).
% 0.20/0.53  44 [hyper,31,3,19,factor_simp] {+} big_f(g(A,A),g(A,A))|big_g(g(A,g(A,A)),g(A,g(A,A))).
% 0.20/0.53  63 [hyper,44,5,25,factor_simp] {-} big_f(g(A,A),g(A,A)).
% 0.20/0.53  66 [hyper,63,3,63] {-} big_g(g(g(A,A),g(A,A)),g(g(A,A),g(A,A))).
% 0.20/0.53  77 [hyper,66,5,66] {-} $F.
% 0.20/0.53  
% 0.20/0.53  % SZS output end Refutation
% 0.20/0.53  ------------ end of proof -------------
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Search stopped by max_proofs option.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Search stopped by max_proofs option.
% 0.20/0.53  
% 0.20/0.53  ============ end of search ============
% 0.20/0.53  
% 0.20/0.54  ----------- soft-scott stats ----------
% 0.20/0.54  
% 0.20/0.54  true clauses given           3      (20.0%)
% 0.20/0.54  false clauses given         12
% 0.20/0.54  
% 0.20/0.54        FALSE     TRUE
% 0.20/0.54    14  0         1
% 0.20/0.54    17  0         1
% 0.20/0.54    18  0         1
% 0.20/0.54    21  0         1
% 0.20/0.54    23  1         1
% 0.20/0.54    26  1         0
% 0.20/0.54    27  0         2
% 0.20/0.54    29  1         1
% 0.20/0.54    33  0         1
% 0.20/0.54    34  0         1
% 0.20/0.54    37  0         1
% 0.20/0.54    41  1         0
% 0.20/0.54    47  1         0
% 0.20/0.54    50  0         1
% 0.20/0.54    53  0         1
% 0.20/0.54    54  0         1
% 0.20/0.54    57  0         1
% 0.20/0.54  tot:  5         15      (75.0% true)
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  Model 7 [ 6 -1 204 ] (0.00 seconds, 7271 Inserts)
% 0.20/0.54  
% 0.20/0.54  That finishes the proof of the theorem.
% 0.20/0.54  
% 0.20/0.54  Process 3409 finished Tue Jul 12 01:13:28 2022
%------------------------------------------------------------------------------