TSTP Solution File: SYN038-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 12:09:18 EDT 2022

% Result   : Unsatisfiable 0.35s 0.54s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n024.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 : Mon Jul 11 18:38:28 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 n024.cluster.edu,
% 0.12/0.35  Mon Jul 11 18:38:28 2022
% 0.12/0.35  The command was "./sos".  The process ID is 24182.
% 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 =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 5
% 0.12/0.38  number of clauses initially in problem: 7
% 0.12/0.38  percentage of clauses intially in UL: 71
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 3
% 0.12/0.38     distinct predicate count: 2
% 0.12/0.38     distinct function count: 1
% 0.12/0.38     distinct constant count: 0
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 0.35/0.54  
% 0.35/0.54  -------- PROOF -------- 
% 0.35/0.54  % SZS status Unsatisfiable
% 0.35/0.54  % SZS output start Refutation
% 0.35/0.54  
% 0.35/0.54  Model 3 [ 2 1 146 ] (0.00 seconds, 4242 Inserts)
% 0.35/0.54  
% 0.35/0.54  Model 4 [ 4 0 99 ] (0.00 seconds, 15108 Inserts)
% 0.35/0.54  
% 0.35/0.54  Model 5 [ 4 1 493 ] (0.00 seconds, 15099 Inserts)
% 0.35/0.54  
% 0.35/0.54  Model 6 [ 18 1 730 ] (0.00 seconds, 2011 Inserts)
% 0.35/0.54  
% 0.35/0.54  Model 7 [ 6 1 204 ] (0.00 seconds, 7271 Inserts)
% 0.35/0.54  
% 0.35/0.54  -----> EMPTY CLAUSE at   0.17 sec ----> 77 [hyper,66,5,66] {-} $F.
% 0.35/0.54  
% 0.35/0.54  Length of proof is 8.  Level of proof is 8.
% 0.35/0.54  
% 0.35/0.54  ---------------- PROOF ----------------
% 0.35/0.54  % SZS status Unsatisfiable
% 0.35/0.54  % SZS output start Refutation
% 0.35/0.54  
% 0.35/0.54  1 [] {+} -p(A,f(A,B))| -p(A,B)|q(B,f(A,B)).
% 0.35/0.54  2 [] {+} -p(A,B)| -q(B,f(A,B))|p(A,f(A,B)).
% 0.35/0.54  3 [] {+} -p(A,B)| -p(f(A,B),f(A,B))|q(f(A,B),f(A,B)).
% 0.35/0.54  4 [] {+} p(A,B)| -q(f(A,B),f(A,B)).
% 0.35/0.54  5 [] {+} -q(A,B)| -q(f(A,B),f(A,B)).
% 0.35/0.54  6 [] {+} p(A,B)|p(f(A,B),f(A,B)).
% 0.35/0.54  7 [] {-} q(A,B)|q(f(A,B),f(A,B)).
% 0.35/0.54  15 [hyper,7,4] {-} q(A,B)|p(A,B).
% 0.35/0.54  18 [hyper,15,2,6] {+} p(A,f(B,A))|p(B,f(B,A))|p(f(B,A),f(B,A)).
% 0.35/0.54  19 [factor,18.1.2] {+} p(A,f(A,A))|p(f(A,A),f(A,A)).
% 0.35/0.54  26 [hyper,19,1,6,factor_simp] {+} p(f(A,A),f(A,A))|q(A,f(A,A)).
% 0.35/0.54  31 [hyper,26,5,15] {+} p(f(A,A),f(A,A))|p(f(A,f(A,A)),f(A,f(A,A))).
% 0.35/0.54  45 [hyper,31,3,19,factor_simp] {+} p(f(A,A),f(A,A))|q(f(A,f(A,A)),f(A,f(A,A))).
% 0.35/0.54  64 [hyper,45,5,26,factor_simp] {-} p(f(A,A),f(A,A)).
% 0.35/0.54  66 [hyper,64,3,64] {-} q(f(f(A,A),f(A,A)),f(f(A,A),f(A,A))).
% 0.35/0.54  77 [hyper,66,5,66] {-} $F.
% 0.35/0.54  
% 0.35/0.54  % SZS output end Refutation
% 0.35/0.54  ------------ end of proof -------------
% 0.35/0.54  
% 0.35/0.54  
% 0.35/0.54  Search stopped by max_proofs option.
% 0.35/0.54  
% 0.35/0.54  
% 0.35/0.54  Search stopped by max_proofs option.
% 0.35/0.54  
% 0.35/0.54  ============ end of search ============
% 0.35/0.54  
% 0.35/0.54  ----------- soft-scott stats ----------
% 0.35/0.54  
% 0.35/0.54  true clauses given           3      (20.0%)
% 0.35/0.54  false clauses given         12
% 0.35/0.54  
% 0.35/0.54        FALSE     TRUE
% 0.35/0.54    14  0         1
% 0.35/0.54    17  0         1
% 0.35/0.54    18  0         1
% 0.35/0.54    21  0         1
% 0.35/0.54    23  1         1
% 0.35/0.54    27  0         2
% 0.35/0.54    29  1         1
% 0.35/0.54    33  0         1
% 0.35/0.54    34  0         1
% 0.35/0.54    37  0         1
% 0.35/0.54    41  1         0
% 0.35/0.54    47  1         0
% 0.35/0.54    50  0         1
% 0.35/0.54    53  0         1
% 0.35/0.54    54  0         1
% 0.35/0.54    57  0         1
% 0.35/0.54  tot:  4         15      (78.9% true)
% 0.35/0.54  
% 0.35/0.54  
% 0.35/0.54  Model 7 [ 6 -1 204 ] (0.00 seconds, 7271 Inserts)
% 0.35/0.54  
% 0.35/0.54  That finishes the proof of the theorem.
% 0.35/0.54  
% 0.35/0.54  Process 24182 finished Mon Jul 11 18:38:28 2022
%------------------------------------------------------------------------------