TSTP Solution File: LCL064-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL064-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n016.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 14:27:40 EDT 2022

% Result   : Unsatisfiable 14.57s 14.81s
% Output   : Refutation 14.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL064-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n016.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 07:50:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox on n016.cluster.edu,
% 0.19/0.35  Mon Jul  4 07:50:16 2022
% 0.19/0.35  The command was "./sos".  The process ID is 11906.
% 0.19/0.35  
% 0.19/0.35  set(prolog_style_variables).
% 0.19/0.35  set(auto).
% 0.19/0.35     dependent: set(auto1).
% 0.19/0.35     dependent: set(process_input).
% 0.19/0.35     dependent: clear(print_kept).
% 0.19/0.35     dependent: clear(print_new_demod).
% 0.19/0.35     dependent: clear(print_back_demod).
% 0.19/0.35     dependent: clear(print_back_sub).
% 0.19/0.35     dependent: set(control_memory).
% 0.19/0.35     dependent: assign(max_mem, 12000).
% 0.19/0.35     dependent: assign(pick_given_ratio, 4).
% 0.19/0.35     dependent: assign(stats_level, 1).
% 0.19/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35     dependent: assign(sos_limit, 5000).
% 0.19/0.35     dependent: assign(max_weight, 60).
% 0.19/0.35  clear(print_given).
% 0.19/0.35  
% 0.19/0.35  list(usable).
% 0.19/0.35  
% 0.19/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.35  
% 0.19/0.35  This is a Horn set without equality.  The strategy will
% 0.19/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.19/0.35  in usable.
% 0.19/0.35  
% 0.19/0.35     dependent: set(hyper_res).
% 0.19/0.35     dependent: clear(order_hyper).
% 0.19/0.35  
% 0.19/0.35  ------------> process usable:
% 0.19/0.35  
% 0.19/0.35  ------------> process sos:
% 0.19/0.35  
% 0.19/0.35  ======= end of input processing =======
% 0.19/0.40  
% 0.19/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  -------------- Softie stats --------------
% 0.19/0.40  
% 0.19/0.40  UPDATE_STOP: 300
% 0.19/0.40  SFINDER_TIME_LIMIT: 2
% 0.19/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40  number of clauses in intial UL: 2
% 0.19/0.40  number of clauses initially in problem: 5
% 0.19/0.40  percentage of clauses intially in UL: 40
% 0.19/0.40  percentage of distinct symbols occuring in initial UL: 83
% 0.19/0.40  percent of all initial clauses that are short: 100
% 0.19/0.40  absolute distinct symbol count: 6
% 0.19/0.40     distinct predicate count: 1
% 0.19/0.40     distinct function count: 2
% 0.19/0.40     distinct constant count: 3
% 0.19/0.40  
% 0.19/0.40  ---------- no more Softie stats ----------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  =========== start of search ===========
% 9.32/9.55  
% 9.32/9.55  
% 9.32/9.55  Changing weight limit from 60 to 42.
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on insertions
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on insertions
% 9.32/9.55  
% 9.32/9.55  Model 3 [ 1 0 1858 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Model 4 (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on number of solutions
% 9.32/9.55  
% 9.32/9.55  Model 5 (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on number of solutions
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on insertions
% 9.32/9.55  
% 9.32/9.55  Model 6 [ 1 1 4956 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on insertions
% 9.32/9.55  
% 9.32/9.55  Model 7 [ 2 1 783 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Stopped by limit on insertions
% 9.32/9.55  
% 9.32/9.55  Model 8 [ 2 1 1323 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.55  
% 9.32/9.55  Resetting weight limit to 42 after 185 givens.
% 9.32/9.55  
% 13.58/13.77  
% 13.58/13.77  
% 13.58/13.77  Changing weight limit from 42 to 26.
% 13.58/13.77  
% 13.58/13.77  Stopped by limit on insertions
% 13.58/13.77  
% 13.58/13.77  Model 9 [ 2 1 5790 ] (0.00 seconds, 250000 Inserts)
% 13.58/13.77  
% 13.58/13.77  Stopped by limit on insertions
% 13.58/13.77  
% 13.58/13.77  Model 10 [ 8 1 969 ] (0.00 seconds, 250000 Inserts)
% 13.58/13.77  
% 13.58/13.77  Resetting weight limit to 26 after 335 givens.
% 13.58/13.77  
% 13.60/13.81  
% 13.60/13.81  
% 13.60/13.81  Changing weight limit from 26 to 18.
% 13.60/13.81  
% 13.60/13.81  Resetting weight limit to 18 after 340 givens.
% 13.60/13.81  
% 13.66/13.83  
% 13.66/13.83  
% 13.66/13.83  Changing weight limit from 18 to 17.
% 13.66/13.83  
% 13.66/13.83  Resetting weight limit to 17 after 350 givens.
% 13.66/13.83  
% 13.68/13.92  
% 13.68/13.92  
% 13.68/13.92  Changing weight limit from 17 to 16.
% 13.68/13.92  
% 13.68/13.92  Resetting weight limit to 16 after 380 givens.
% 13.68/13.92  
% 14.04/14.27  
% 14.04/14.27  
% 14.04/14.27  Changing weight limit from 16 to 15.
% 14.04/14.27  
% 14.04/14.27  Modelling stopped after 300 given clauses and 0.00 seconds
% 14.04/14.27  
% 14.04/14.27  
% 14.04/14.27  Resetting weight limit to 15 after 485 givens.
% 14.04/14.27  
% 14.57/14.81  
% 14.57/14.81  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 14.57/14.81  
% 14.57/14.81  ----> UNIT CONFLICT at  14.33 sec ----> 17935 [binary,17934.1,2.1] {-} $F.
% 14.57/14.81  
% 14.57/14.81  Length of proof is 12.  Level of proof is 6.
% 14.57/14.81  
% 14.57/14.81  ---------------- PROOF ----------------
% 14.57/14.81  % SZS status Unsatisfiable
% 14.57/14.81  % SZS output start Refutation
% 14.57/14.81  
% 14.57/14.81  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 14.57/14.81  2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 14.57/14.81  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 14.57/14.81  4 [] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 14.57/14.81  6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 14.57/14.81  9 [hyper,4,1,4] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).
% 14.57/14.81  10 [hyper,4,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))).
% 14.57/14.81  14 [hyper,6,1,4] {+} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 14.57/14.81  37 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))).
% 14.57/14.81  53 [hyper,10,1,9] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))).
% 14.57/14.81  108 [hyper,37,1,14] {-} is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(D,implies(A,C)))).
% 14.57/14.81  111 [hyper,37,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(implies(C,B),D)),implies(B,D)))).
% 14.57/14.81  114 [hyper,37,1,10] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 14.57/14.81  7747 [hyper,111,1,108] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))).
% 14.57/14.81  15688 [hyper,7747,1,53] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 14.57/14.81  17934 [hyper,15688,1,114] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 14.57/14.81  17935 [binary,17934.1,2.1] {-} $F.
% 14.57/14.81  
% 14.57/14.81  % SZS output end Refutation
% 14.57/14.81  ------------ end of proof -------------
% 14.57/14.81  
% 14.57/14.81  
% 14.57/14.81  Search stopped by max_proofs option.
% 14.57/14.81  
% 14.57/14.81  
% 14.57/14.81  Search stopped by max_proofs option.
% 14.57/14.81  
% 14.57/14.81  ============ end of search ============
% 14.57/14.81  
% 14.57/14.81  ----------- soft-scott stats ----------
% 14.57/14.81  
% 14.57/14.81  true clauses given         252      (28.8%)
% 14.57/14.81  false clauses given        622
% 14.57/14.81  
% 14.57/14.81        FALSE     TRUE
% 14.57/14.81    11  0         17
% 14.57/14.81    12  32        394
% 14.57/14.81    13  605       545
% 14.57/14.81    14  1296      1147
% 14.57/14.81    15  587       401
% 14.57/14.81  tot:  2520      2504      (49.8% true)
% 14.57/14.81  
% 14.57/14.81  
% 14.57/14.81  Model 10 [ 8 1 969 ] (0.00 seconds, 250000 Inserts)
% 14.57/14.81  
% 14.57/14.81  That finishes the proof of the theorem.
% 14.57/14.81  
% 14.57/14.81  Process 11906 finished Mon Jul  4 07:50:31 2022
%------------------------------------------------------------------------------