TSTP Solution File: LCL070-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL070-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n003.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 14:27:42 EDT 2022

% Result   : Unsatisfiable 23.82s 24.08s
% Output   : Refutation 23.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL070-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jul  3 06:45:54 EDT 2022
% 0.18/0.32  % CPUTime  : 
% 0.18/0.34  ----- Otter 3.2, August 2001 -----
% 0.18/0.34  The process was started by sandbox on n003.cluster.edu,
% 0.18/0.34  Sun Jul  3 06:45:54 2022
% 0.18/0.34  The command was "./sos".  The process ID is 16901.
% 0.18/0.34  
% 0.18/0.34  set(prolog_style_variables).
% 0.18/0.34  set(auto).
% 0.18/0.34     dependent: set(auto1).
% 0.18/0.34     dependent: set(process_input).
% 0.18/0.34     dependent: clear(print_kept).
% 0.18/0.34     dependent: clear(print_new_demod).
% 0.18/0.34     dependent: clear(print_back_demod).
% 0.18/0.34     dependent: clear(print_back_sub).
% 0.18/0.34     dependent: set(control_memory).
% 0.18/0.34     dependent: assign(max_mem, 12000).
% 0.18/0.34     dependent: assign(pick_given_ratio, 4).
% 0.18/0.34     dependent: assign(stats_level, 1).
% 0.18/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.34     dependent: assign(sos_limit, 5000).
% 0.18/0.34     dependent: assign(max_weight, 60).
% 0.18/0.34  clear(print_given).
% 0.18/0.34  
% 0.18/0.34  list(usable).
% 0.18/0.34  
% 0.18/0.34  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.18/0.34  
% 0.18/0.34  This is a Horn set without equality.  The strategy will
% 0.18/0.34  be hyperresolution, with satellites in sos and nuclei
% 0.18/0.34  in usable.
% 0.18/0.34  
% 0.18/0.34     dependent: set(hyper_res).
% 0.18/0.34     dependent: clear(order_hyper).
% 0.18/0.34  
% 0.18/0.34  ------------> process usable:
% 0.18/0.34  
% 0.18/0.34  ------------> process sos:
% 0.18/0.34  
% 0.18/0.34  ======= end of input processing =======
% 0.18/0.36  
% 0.18/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.36  
% 0.18/0.36  Stopped by limit on number of solutions
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  -------------- Softie stats --------------
% 0.18/0.36  
% 0.18/0.36  UPDATE_STOP: 300
% 0.18/0.36  SFINDER_TIME_LIMIT: 2
% 0.18/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37  number of clauses in intial UL: 2
% 0.18/0.37  number of clauses initially in problem: 5
% 0.18/0.37  percentage of clauses intially in UL: 40
% 0.18/0.37  percentage of distinct symbols occuring in initial UL: 83
% 0.18/0.37  percent of all initial clauses that are short: 100
% 0.18/0.37  absolute distinct symbol count: 6
% 0.18/0.37     distinct predicate count: 1
% 0.18/0.37     distinct function count: 2
% 0.18/0.37     distinct constant count: 3
% 0.18/0.37  
% 0.18/0.37  ---------- no more Softie stats ----------
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  =========== start of search ===========
% 20.23/20.41  
% 20.23/20.41  
% 20.23/20.41  Changing weight limit from 60 to 58.
% 20.23/20.41  
% 20.23/20.41  Model 2 (0.00 seconds, 0 Inserts)
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on number of solutions
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on insertions
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on insertions
% 20.23/20.41  
% 20.23/20.41  Model 3 [ 1 0 1369 ] (0.00 seconds, 250000 Inserts)
% 20.23/20.41  
% 20.23/20.41  Model 4 (0.00 seconds, 250000 Inserts)
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on number of solutions
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on insertions
% 20.23/20.41  
% 20.23/20.41  Model 5 [ 1 1 214 ] (0.00 seconds, 250000 Inserts)
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on insertions
% 20.23/20.41  
% 20.23/20.41  Model 6 [ 1 0 465 ] (0.00 seconds, 250000 Inserts)
% 20.23/20.41  
% 20.23/20.41  Stopped by limit on insertions
% 20.23/20.41  
% 20.23/20.41  Model 7 [ 1 2 10914 ] (0.00 seconds, 250000 Inserts)
% 20.23/20.41  
% 20.23/20.41  Resetting weight limit to 58 after 345 givens.
% 20.23/20.41  
% 20.35/20.53  
% 20.35/20.53  
% 20.35/20.53  Changing weight limit from 58 to 40.
% 20.35/20.53  
% 20.35/20.53  Resetting weight limit to 40 after 350 givens.
% 20.35/20.53  
% 20.44/20.67  
% 20.44/20.67  
% 20.44/20.67  Changing weight limit from 40 to 30.
% 20.44/20.67  
% 20.44/20.67  Resetting weight limit to 30 after 355 givens.
% 20.44/20.67  
% 20.54/20.74  
% 20.54/20.74  
% 20.54/20.74  Changing weight limit from 30 to 29.
% 20.54/20.74  
% 20.54/20.74  Resetting weight limit to 29 after 365 givens.
% 20.54/20.74  
% 20.63/20.89  
% 20.63/20.89  
% 20.63/20.89  Changing weight limit from 29 to 28.
% 20.63/20.89  
% 20.63/20.89  Modelling stopped after 300 given clauses and 0.00 seconds
% 20.63/20.89  
% 20.63/20.89  
% 20.63/20.89  Resetting weight limit to 28 after 375 givens.
% 20.63/20.89  
% 20.74/20.95  
% 20.74/20.95  
% 20.74/20.95  Changing weight limit from 28 to 27.
% 20.74/20.95  
% 20.74/20.95  Resetting weight limit to 27 after 385 givens.
% 20.74/20.95  
% 20.74/20.97  
% 20.74/20.97  
% 20.74/20.97  Changing weight limit from 27 to 26.
% 20.74/20.97  
% 20.74/20.97  Resetting weight limit to 26 after 390 givens.
% 20.74/20.97  
% 20.83/21.07  
% 20.83/21.07  
% 20.83/21.07  Changing weight limit from 26 to 24.
% 20.83/21.07  
% 20.83/21.07  Resetting weight limit to 24 after 405 givens.
% 20.83/21.07  
% 20.94/21.12  
% 20.94/21.12  
% 20.94/21.12  Changing weight limit from 24 to 23.
% 20.94/21.12  
% 20.94/21.12  Resetting weight limit to 23 after 410 givens.
% 20.94/21.12  
% 20.94/21.19  
% 20.94/21.19  
% 20.94/21.19  Changing weight limit from 23 to 21.
% 20.94/21.19  
% 20.94/21.19  Resetting weight limit to 21 after 415 givens.
% 20.94/21.19  
% 21.03/21.28  
% 21.03/21.28  
% 21.03/21.28  Changing weight limit from 21 to 20.
% 21.03/21.28  
% 21.03/21.28  Resetting weight limit to 20 after 435 givens.
% 21.03/21.28  
% 21.34/21.51  
% 21.34/21.51  
% 21.34/21.51  Changing weight limit from 20 to 19.
% 21.34/21.51  
% 21.34/21.51  Resetting weight limit to 19 after 475 givens.
% 21.34/21.51  
% 21.55/21.74  
% 21.55/21.74  
% 21.55/21.74  Changing weight limit from 19 to 18.
% 21.55/21.74  
% 21.55/21.74  Resetting weight limit to 18 after 510 givens.
% 21.55/21.74  
% 21.72/21.97  
% 21.72/21.97  
% 21.72/21.97  Changing weight limit from 18 to 17.
% 21.72/21.97  
% 21.72/21.97  Resetting weight limit to 17 after 555 givens.
% 21.72/21.97  
% 22.11/22.28  
% 22.11/22.28  
% 22.11/22.28  Changing weight limit from 17 to 16.
% 22.11/22.28  
% 22.11/22.28  Resetting weight limit to 16 after 645 givens.
% 22.11/22.28  
% 23.35/23.59  
% 23.35/23.59  
% 23.35/23.59  Changing weight limit from 16 to 15.
% 23.35/23.59  
% 23.35/23.59  Resetting weight limit to 15 after 1170 givens.
% 23.35/23.59  
% 23.82/24.08  
% 23.82/24.08  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 23.82/24.08  
% 23.82/24.08  ----> UNIT CONFLICT at  23.45 sec ----> 23969 [binary,23968.1,2.1] {-} $F.
% 23.82/24.08  
% 23.82/24.08  Length of proof is 31.  Level of proof is 19.
% 23.82/24.08  
% 23.82/24.08  ---------------- PROOF ----------------
% 23.82/24.08  % SZS status Unsatisfiable
% 23.82/24.08  % SZS output start Refutation
% 23.82/24.08  
% 23.82/24.08  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 23.82/24.08  2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 23.82/24.08  3 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 23.82/24.08  4 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 23.82/24.08  5 [] {-} is_a_theorem(implies(implies(A,implies(not(B),C)),implies(A,implies(implies(D,C),implies(implies(B,D),C))))).
% 23.82/24.08  6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,A))).
% 23.82/24.08  7 [hyper,6,1,6] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 23.82/24.08  8 [hyper,6,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 23.82/24.08  11 [hyper,4,1,4] {-} is_a_theorem(implies(not(implies(A,B)),implies(not(A),C))).
% 23.82/24.08  12 [hyper,4,1,6] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 23.82/24.08  21 [hyper,5,1,7] {-} is_a_theorem(implies(A,implies(implies(B,implies(C,not(D))),implies(implies(D,B),implies(C,not(D)))))).
% 23.82/24.08  22 [hyper,5,1,4] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(D,C),implies(implies(A,D),C)))).
% 23.82/24.08  27 [hyper,11,1,5] {-} is_a_theorem(implies(not(implies(A,B)),implies(implies(C,D),implies(implies(A,C),D)))).
% 23.82/24.08  32 [hyper,8,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))).
% 23.82/24.08  121 [hyper,21,1,21] {-} is_a_theorem(implies(implies(A,implies(B,not(C))),implies(implies(C,A),implies(B,not(C))))).
% 23.82/24.08  135 [hyper,22,1,6] {-} is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(implies(C,A),implies(B,implies(C,D))))).
% 23.82/24.08  138 [hyper,22,1,3] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(D,B),A),implies(B,C)))).
% 23.82/24.08  200 [hyper,121,1,6] {-} is_a_theorem(implies(implies(A,not(A)),implies(B,not(A)))).
% 23.82/24.08  1728 [hyper,138,1,200] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,not(C))),implies(B,not(C)))).
% 23.82/24.08  1749 [hyper,138,1,12] {-} is_a_theorem(implies(implies(implies(A,B),not(C)),implies(B,implies(C,D)))).
% 23.82/24.08  1754 [hyper,138,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(C,B),D)),implies(B,D))).
% 23.82/24.08  2471 [hyper,1728,1,1728] {-} is_a_theorem(implies(implies(A,not(A)),not(A))).
% 23.82/24.08  2494 [hyper,2471,1,1749] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 23.82/24.08  2516 [hyper,2494,1,121] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 23.82/24.08  2659 [hyper,2516,1,2471] {+} is_a_theorem(implies(A,not(implies(A,not(A))))).
% 23.82/24.08  6013 [hyper,1754,1,3] {+} is_a_theorem(implies(A,A)).
% 23.82/24.08  6023 [hyper,6013,1,2659] {-} is_a_theorem(not(implies(implies(A,A),not(implies(A,A))))).
% 23.82/24.08  6455 [hyper,6023,1,27] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(C,C),A),B))).
% 23.82/24.08  7833 [hyper,135,1,32] {+} is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))).
% 23.82/24.08  9206 [hyper,6455,1,6013] {-} is_a_theorem(implies(implies(implies(A,A),B),B)).
% 23.82/24.08  9322 [hyper,9206,1,6455] {-} is_a_theorem(implies(implies(implies(A,A),implies(implies(B,B),C)),C)).
% 23.82/24.08  13501 [hyper,9322,1,22] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 23.82/24.08  23240 [hyper,7833,1,13501] {+} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 23.82/24.08  23351 [hyper,23240,1,135] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 23.82/24.08  23552 [hyper,23351,1,23240] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 23.82/24.08  23968 [hyper,23552,1,135] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 23.82/24.08  23969 [binary,23968.1,2.1] {-} $F.
% 23.82/24.08  
% 23.82/24.08  % SZS output end Refutation
% 23.82/24.08  ------------ end of proof -------------
% 23.82/24.08  
% 23.82/24.08  
% 23.82/24.08  Search stopped by max_proofs option.
% 23.82/24.08  
% 23.82/24.08  
% 23.82/24.08  Search stopped by max_proofs option.
% 23.82/24.08  
% 23.82/24.08  ============ end of search ============
% 23.82/24.08  
% 23.82/24.08  ----------- soft-scott stats ----------
% 23.82/24.08  
% 23.82/24.08  true clauses given         384      (27.5%)
% 23.82/24.08  false clauses given       1010
% 23.82/24.08  
% 23.82/24.08        FALSE     TRUE
% 23.82/24.08    10  9         1
% 23.82/24.08    11  5         3
% 23.82/24.08    12  44        174
% 23.82/24.08    13  68        451
% 23.82/24.08    14  1278      763
% 23.82/24.08    15  1466      1146
% 23.82/24.08  tot:  2870      2538      (46.9% true)
% 23.82/24.08  
% 23.82/24.08  
% 23.82/24.08  Model 7 [ 1 2 10914 ] (0.00 seconds, 250000 Inserts)
% 23.82/24.08  
% 23.82/24.08  That finishes the proof of the theorem.
% 23.82/24.08  
% 23.82/24.08  Process 16901 finished Sun Jul  3 06:46:17 2022
%------------------------------------------------------------------------------