TSTP Solution File: SYN334-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 12:11:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n018.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 04:17:59 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 n018.cluster.edu,
% 0.12/0.35  Tue Jul 12 04:17:59 2022
% 0.12/0.35  The command was "./sos".  The process ID is 9618.
% 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=0, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a non-Horn set without equality.  The strategy
% 0.12/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35     dependent: set(unit_deletion).
% 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 =======
% 0.18/0.38  
% 0.18/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38  
% 0.18/0.38  Stopped by limit on number of solutions
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  -------------- Softie stats --------------
% 0.18/0.38  
% 0.18/0.38  UPDATE_STOP: 300
% 0.18/0.38  SFINDER_TIME_LIMIT: 2
% 0.18/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38  number of clauses in intial UL: 5
% 0.18/0.38  number of clauses initially in problem: 7
% 0.18/0.38  percentage of clauses intially in UL: 71
% 0.18/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.38  percent of all initial clauses that are short: 100
% 0.18/0.38  absolute distinct symbol count: 3
% 0.18/0.38     distinct predicate count: 2
% 0.18/0.38     distinct function count: 1
% 0.18/0.38     distinct constant count: 0
% 0.18/0.38  
% 0.18/0.38  ---------- no more Softie stats ----------
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.38  
% 0.18/0.38  Stopped by limit on number of solutions
% 0.18/0.38  
% 0.18/0.38  =========== start of search ===========
% 0.18/0.52  
% 0.18/0.52  -------- PROOF -------- 
% 0.18/0.52  % SZS status Unsatisfiable
% 0.18/0.52  % SZS output start Refutation
% 0.18/0.52  
% 0.18/0.52  Model 3 [ 2 1 146 ] (0.00 seconds, 4242 Inserts)
% 0.18/0.52  
% 0.18/0.52  Model 4 [ 4 0 99 ] (0.00 seconds, 15108 Inserts)
% 0.18/0.52  
% 0.18/0.52  Model 5 [ 4 1 493 ] (0.00 seconds, 15099 Inserts)
% 0.18/0.52  
% 0.18/0.52  Model 6 [ 18 1 730 ] (0.00 seconds, 2011 Inserts)
% 0.18/0.52  
% 0.18/0.52  Model 7 [ 6 0 204 ] (0.00 seconds, 7271 Inserts)
% 0.18/0.52  
% 0.18/0.52  -----> EMPTY CLAUSE at   0.15 sec ----> 76 [hyper,65,5,65] {-} $F.
% 0.18/0.52  
% 0.18/0.52  Length of proof is 8.  Level of proof is 8.
% 0.18/0.52  
% 0.18/0.52  ---------------- PROOF ----------------
% 0.18/0.52  % SZS status Unsatisfiable
% 0.18/0.52  % SZS output start Refutation
% 0.18/0.52  
% 0.18/0.52  1 [] {+} -f(A,B)|f(A,z(A,B))| -g(B,z(A,B)).
% 0.18/0.52  2 [] {+} -f(A,B)| -f(A,z(A,B))|g(B,z(A,B)).
% 0.18/0.52  3 [] {+} -f(z(A,B),z(A,B))|g(z(A,B),z(A,B))| -f(A,B).
% 0.18/0.52  4 [] {+} -g(z(A,B),z(A,B))|f(A,B).
% 0.18/0.52  5 [] {+} -g(A,B)| -g(z(A,B),z(A,B)).
% 0.18/0.52  6 [] {+} f(z(A,B),z(A,B))|f(A,B).
% 0.18/0.52  7 [] {-} g(A,B)|g(z(A,B),z(A,B)).
% 0.18/0.52  15 [hyper,7,4] {-} g(A,B)|f(A,B).
% 0.18/0.52  17 [hyper,15,1,6] {+} f(A,z(B,A))|f(B,z(B,A))|f(z(B,A),z(B,A)).
% 0.18/0.52  19 [factor,17.1.2] {+} f(A,z(A,A))|f(z(A,A),z(A,A)).
% 0.18/0.52  22 [hyper,19,2,6,factor_simp] {+} f(z(A,A),z(A,A))|g(A,z(A,A)).
% 0.18/0.52  30 [hyper,22,5,15] {+} f(z(A,A),z(A,A))|f(z(A,z(A,A)),z(A,z(A,A))).
% 0.18/0.52  43 [hyper,30,3,19,factor_simp] {+} f(z(A,A),z(A,A))|g(z(A,z(A,A)),z(A,z(A,A))).
% 0.18/0.52  62 [hyper,43,5,22,factor_simp] {-} f(z(A,A),z(A,A)).
% 0.18/0.52  65 [hyper,62,3,62] {-} g(z(z(A,A),z(A,A)),z(z(A,A),z(A,A))).
% 0.18/0.52  76 [hyper,65,5,65] {-} $F.
% 0.18/0.52  
% 0.18/0.52  % SZS output end Refutation
% 0.18/0.52  ------------ end of proof -------------
% 0.18/0.52  
% 0.18/0.52  
% 0.18/0.52  Search stopped by max_proofs option.
% 0.18/0.52  
% 0.18/0.52  
% 0.18/0.52  Search stopped by max_proofs option.
% 0.18/0.52  
% 0.18/0.52  ============ end of search ============
% 0.18/0.52  
% 0.18/0.52  ----------- soft-scott stats ----------
% 0.18/0.52  
% 0.18/0.52  true clauses given           3      (20.0%)
% 0.18/0.52  false clauses given         12
% 0.18/0.52  
% 0.18/0.52        FALSE     TRUE
% 0.18/0.52    14  0         1
% 0.18/0.52    17  0         1
% 0.18/0.52    18  0         1
% 0.18/0.52    21  0         1
% 0.18/0.52    23  1         1
% 0.18/0.52    26  1         0
% 0.18/0.52    27  0         2
% 0.18/0.52    29  1         1
% 0.18/0.52    33  0         1
% 0.18/0.52    34  0         1
% 0.18/0.52    37  0         1
% 0.18/0.52    41  1         0
% 0.18/0.52    47  1         0
% 0.18/0.52    50  0         1
% 0.18/0.52    53  0         1
% 0.18/0.52    54  0         1
% 0.18/0.52    57  0         1
% 0.18/0.52  tot:  5         15      (75.0% true)
% 0.18/0.52  
% 0.18/0.52  
% 0.18/0.52  Model 7 [ 6 -1 204 ] (0.00 seconds, 7271 Inserts)
% 0.18/0.52  
% 0.18/0.52  That finishes the proof of the theorem.
% 0.18/0.52  
% 0.18/0.52  Process 9618 finished Tue Jul 12 04:17:59 2022
%------------------------------------------------------------------------------