TSTP Solution File: LCL024-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 14:27:25 EDT 2022

% Result   : Unsatisfiable 14.90s 15.13s
% Output   : Refutation 14.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul  4 12:44:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox2 on n029.cluster.edu,
% 0.19/0.36  Mon Jul  4 12:44:11 2022
% 0.19/0.36  The command was "./sos".  The process ID is 15621.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.36  
% 0.19/0.36  This is a Horn set without equality.  The strategy will
% 0.19/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.19/0.36  in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: clear(order_hyper).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  -------------- Softie stats --------------
% 0.19/0.38  
% 0.19/0.38  UPDATE_STOP: 300
% 0.19/0.38  SFINDER_TIME_LIMIT: 2
% 0.19/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38  number of clauses in intial UL: 2
% 0.19/0.38  number of clauses initially in problem: 3
% 0.19/0.38  percentage of clauses intially in UL: 66
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 5
% 0.19/0.38     distinct predicate count: 1
% 0.19/0.38     distinct function count: 1
% 0.19/0.38     distinct constant count: 3
% 0.19/0.38  
% 0.19/0.38  ---------- no more Softie stats ----------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  =========== start of search ===========
% 12.13/12.33  
% 12.13/12.33  
% 12.13/12.33  Changing weight limit from 60 to 48.
% 12.13/12.33  
% 12.13/12.33  Model 2 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Model 3 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Model 4 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Model 5 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Model 6 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Model 7 (0.00 seconds, 0 Inserts)
% 12.13/12.33  
% 12.13/12.33  Stopped by limit on number of solutions
% 12.13/12.33  
% 12.13/12.33  Resetting weight limit to 48 after 95 givens.
% 12.13/12.33  
% 12.33/12.52  
% 12.33/12.52  
% 12.33/12.52  Changing weight limit from 48 to 40.
% 12.33/12.52  
% 12.33/12.52  Resetting weight limit to 40 after 100 givens.
% 12.33/12.52  
% 12.54/12.78  
% 12.54/12.78  
% 12.54/12.78  Changing weight limit from 40 to 36.
% 12.54/12.78  
% 12.54/12.78  Resetting weight limit to 36 after 105 givens.
% 12.54/12.78  
% 12.73/12.92  
% 12.73/12.92  
% 12.73/12.92  Changing weight limit from 36 to 32.
% 12.73/12.92  
% 12.73/12.92  Resetting weight limit to 32 after 110 givens.
% 12.73/12.92  
% 12.93/13.13  
% 12.93/13.13  
% 12.93/13.13  Changing weight limit from 32 to 28.
% 12.93/13.13  
% 12.93/13.13  Resetting weight limit to 28 after 120 givens.
% 12.93/13.13  
% 14.38/14.58  
% 14.38/14.58  
% 14.38/14.58  Changing weight limit from 28 to 24.
% 14.38/14.58  
% 14.38/14.58  Resetting weight limit to 24 after 210 givens.
% 14.38/14.58  
% 14.90/15.13  
% 14.90/15.13  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 14.90/15.13  
% 14.90/15.13  ----> UNIT CONFLICT at  14.71 sec ----> 15638 [binary,15637.1,2.1] {-} $F.
% 14.90/15.13  
% 14.90/15.13  Length of proof is 16.  Level of proof is 11.
% 14.90/15.13  
% 14.90/15.13  ---------------- PROOF ----------------
% 14.90/15.13  % SZS status Unsatisfiable
% 14.90/15.13  % SZS output start Refutation
% 14.90/15.13  
% 14.90/15.13  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 14.90/15.13  2 [] {+} -is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))).
% 14.90/15.13  3 [] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B)))).
% 14.90/15.13  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(E,D))))),equivalent(B,A))).
% 14.90/15.13  7 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(C,D)),D)).
% 14.90/15.13  8 [hyper,7,1,7] {+} is_a_theorem(equivalent(A,A)).
% 14.90/15.13  11 [hyper,7,1,4] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B))),equivalent(D,D))).
% 14.90/15.13  13 [hyper,8,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(B,A))).
% 14.90/15.13  17 [hyper,13,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(D,equivalent(E,E))),equivalent(D,C)))),equivalent(B,A))).
% 14.90/15.13  19 [hyper,13,1,7] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(C,B)),equivalent(D,equivalent(A,equivalent(E,E)))))).
% 14.90/15.13  21 [hyper,13,1,3] {+} is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)).
% 14.90/15.13  42 [hyper,21,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(C,D)),D))),equivalent(B,A))).
% 14.90/15.13  123 [hyper,11,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,equivalent(equivalent(D,equivalent(E,C)),equivalent(E,D))),equivalent(F,F)))),equivalent(B,A))).
% 14.90/15.13  611 [hyper,19,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(B,A)),equivalent(D,equivalent(D,C)))).
% 14.90/15.13  2454 [hyper,611,1,42] {-} is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(equivalent(C,equivalent(D,B)),equivalent(D,C)))).
% 14.90/15.13  4188 [hyper,2454,1,13] {+} is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),equivalent(C,equivalent(C,B)))).
% 14.90/15.13  10380 [hyper,4188,1,17] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(D,equivalent(D,equivalent(B,A))))).
% 14.90/15.13  10530 [hyper,10380,1,4] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,equivalent(B,A)),equivalent(D,D))))).
% 14.90/15.13  15637 [hyper,123,1,10530] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),C),equivalent(B,A))).
% 14.90/15.13  15638 [binary,15637.1,2.1] {-} $F.
% 14.90/15.13  
% 14.90/15.13  % SZS output end Refutation
% 14.90/15.13  ------------ end of proof -------------
% 14.90/15.13  
% 14.90/15.13  
% 14.90/15.13  Search stopped by max_proofs option.
% 14.90/15.13  
% 14.90/15.13  
% 14.90/15.13  Search stopped by max_proofs option.
% 14.90/15.13  
% 14.90/15.13  ============ end of search ============
% 14.90/15.13  
% 14.90/15.13  ----------- soft-scott stats ----------
% 14.90/15.13  
% 14.90/15.13  true clauses given          65      (24.9%)
% 14.90/15.13  false clauses given        196
% 14.90/15.13  
% 14.90/15.13        FALSE     TRUE
% 14.90/15.13    12  0         17
% 14.90/15.13    16  0         356
% 14.90/15.13    20  807       1416
% 14.90/15.13    24  1738      734
% 14.90/15.13  tot:  2545      2523      (49.8% true)
% 14.90/15.13  
% 14.90/15.13  
% 14.90/15.13  Model 7 (0.00 seconds, 0 Inserts)
% 14.90/15.13  
% 14.90/15.13  That finishes the proof of the theorem.
% 14.90/15.13  
% 14.90/15.13  Process 15621 finished Mon Jul  4 12:44:26 2022
%------------------------------------------------------------------------------