TSTP Solution File: LCL371-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL371-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 14:29:45 EDT 2022

% Result   : Unsatisfiable 16.26s 16.49s
% Output   : Refutation 16.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : LCL371-1 : TPTP v8.1.0. Released v2.3.0.
% 0.05/0.11  % Command  : sos-script %s
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jul  3 03:22:15 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.34  ----- Otter 3.2, August 2001 -----
% 0.11/0.34  The process was started by sandbox on n024.cluster.edu,
% 0.11/0.34  Sun Jul  3 03:22:15 2022
% 0.11/0.34  The command was "./sos".  The process ID is 3732.
% 0.11/0.34  
% 0.11/0.34  set(prolog_style_variables).
% 0.11/0.34  set(auto).
% 0.11/0.34     dependent: set(auto1).
% 0.11/0.34     dependent: set(process_input).
% 0.11/0.34     dependent: clear(print_kept).
% 0.11/0.34     dependent: clear(print_new_demod).
% 0.11/0.34     dependent: clear(print_back_demod).
% 0.11/0.34     dependent: clear(print_back_sub).
% 0.11/0.34     dependent: set(control_memory).
% 0.11/0.34     dependent: assign(max_mem, 12000).
% 0.11/0.34     dependent: assign(pick_given_ratio, 4).
% 0.11/0.34     dependent: assign(stats_level, 1).
% 0.11/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.34     dependent: assign(sos_limit, 5000).
% 0.11/0.34     dependent: assign(max_weight, 60).
% 0.11/0.34  clear(print_given).
% 0.11/0.34  
% 0.11/0.34  list(usable).
% 0.11/0.34  
% 0.11/0.34  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.11/0.34  
% 0.11/0.34  This is a Horn set without equality.  The strategy will
% 0.11/0.34  be hyperresolution, with satellites in sos and nuclei
% 0.11/0.34  in usable.
% 0.11/0.34  
% 0.11/0.34     dependent: set(hyper_res).
% 0.11/0.34     dependent: clear(order_hyper).
% 0.11/0.34  
% 0.11/0.34  ------------> process usable:
% 0.11/0.34  
% 0.11/0.34  ------------> process sos:
% 0.11/0.34  
% 0.11/0.34  ======= end of input processing =======
% 0.11/0.36  
% 0.11/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.11/0.36  
% 0.11/0.36  Stopped by limit on number of solutions
% 0.11/0.36  
% 0.11/0.36  
% 0.11/0.36  -------------- Softie stats --------------
% 0.11/0.36  
% 0.11/0.36  UPDATE_STOP: 300
% 0.11/0.36  SFINDER_TIME_LIMIT: 2
% 0.11/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.11/0.36  number of clauses in intial UL: 2
% 0.11/0.36  number of clauses initially in problem: 5
% 0.11/0.36  percentage of clauses intially in UL: 40
% 0.11/0.36  percentage of distinct symbols occuring in initial UL: 80
% 0.11/0.36  percent of all initial clauses that are short: 100
% 0.11/0.36  absolute distinct symbol count: 5
% 0.11/0.36     distinct predicate count: 1
% 0.11/0.36     distinct function count: 2
% 0.11/0.36     distinct constant count: 2
% 0.11/0.36  
% 0.11/0.36  ---------- no more Softie stats ----------
% 0.11/0.36  
% 0.11/0.36  
% 0.11/0.36  
% 0.11/0.36  =========== start of search ===========
% 7.47/7.64  
% 7.47/7.64  
% 7.47/7.64  Changing weight limit from 60 to 46.
% 7.47/7.64  
% 7.47/7.64  Model 2 (0.00 seconds, 0 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on number of solutions
% 7.47/7.64  
% 7.47/7.64  Model 3 (0.00 seconds, 0 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on number of solutions
% 7.47/7.64  
% 7.47/7.64  Model 4 (0.00 seconds, 0 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on number of solutions
% 7.47/7.64  
% 7.47/7.64  Model 5 [ 1 1 92 ] (0.00 seconds, 214428 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on insertions
% 7.47/7.64  
% 7.47/7.64  Model 6 [ 1 0 194 ] (0.00 seconds, 250000 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on insertions
% 7.47/7.64  
% 7.47/7.64  Model 7 [ 1 0 228 ] (0.00 seconds, 250000 Inserts)
% 7.47/7.64  
% 7.47/7.64  Stopped by limit on insertions
% 7.47/7.64  
% 7.47/7.64  Model 8 [ 2 1 1004 ] (0.00 seconds, 250000 Inserts)
% 7.47/7.64  
% 7.47/7.64  Resetting weight limit to 46 after 165 givens.
% 7.47/7.64  
% 8.73/8.93  
% 8.73/8.93  
% 8.73/8.93  Changing weight limit from 46 to 33.
% 8.73/8.93  
% 8.73/8.93  Resetting weight limit to 33 after 235 givens.
% 8.73/8.93  
% 8.78/8.97  
% 8.78/8.97  
% 8.78/8.97  Changing weight limit from 33 to 32.
% 8.78/8.97  
% 8.78/8.97  Resetting weight limit to 32 after 240 givens.
% 8.78/8.97  
% 8.78/9.03  
% 8.78/9.03  
% 8.78/9.03  Changing weight limit from 32 to 28.
% 8.78/9.03  
% 8.78/9.03  Resetting weight limit to 28 after 245 givens.
% 8.78/9.03  
% 8.88/9.09  
% 8.88/9.09  
% 8.88/9.09  Changing weight limit from 28 to 25.
% 8.88/9.09  
% 8.88/9.09  Resetting weight limit to 25 after 250 givens.
% 8.88/9.09  
% 8.93/9.14  
% 8.93/9.14  
% 8.93/9.14  Changing weight limit from 25 to 24.
% 8.93/9.14  
% 8.93/9.14  Resetting weight limit to 24 after 255 givens.
% 8.93/9.14  
% 8.98/9.18  
% 8.98/9.18  
% 8.98/9.18  Changing weight limit from 24 to 23.
% 8.98/9.18  
% 8.98/9.18  Resetting weight limit to 23 after 260 givens.
% 8.98/9.18  
% 9.08/9.28  
% 9.08/9.28  
% 9.08/9.28  Changing weight limit from 23 to 22.
% 9.08/9.28  
% 9.08/9.28  Resetting weight limit to 22 after 270 givens.
% 9.08/9.28  
% 13.76/13.93  
% 13.76/13.93  
% 13.76/13.93  Changing weight limit from 22 to 21.
% 13.76/13.93  
% 13.76/13.93  Stopped by limit on insertions
% 13.76/13.93  
% 13.76/13.93  Model 9 [ 2 1 327 ] (0.00 seconds, 250000 Inserts)
% 13.76/13.93  
% 13.76/13.93  Stopped by limit on insertions
% 13.76/13.93  
% 13.76/13.93  Model 10 [ 5 1 392 ] (0.00 seconds, 250000 Inserts)
% 13.76/13.93  
% 13.76/13.93  Resetting weight limit to 21 after 405 givens.
% 13.76/13.93  
% 13.77/13.95  
% 13.77/13.95  
% 13.77/13.95  Changing weight limit from 21 to 20.
% 13.77/13.95  
% 13.77/13.95  Resetting weight limit to 20 after 410 givens.
% 13.77/13.95  
% 13.77/14.01  
% 13.77/14.01  
% 13.77/14.01  Changing weight limit from 20 to 19.
% 13.77/14.01  
% 13.77/14.01  Modelling stopped after 300 given clauses and 0.00 seconds
% 13.77/14.01  
% 13.77/14.01  
% 13.77/14.01  Resetting weight limit to 19 after 425 givens.
% 13.77/14.01  
% 13.86/14.07  
% 13.86/14.07  
% 13.86/14.07  Changing weight limit from 19 to 18.
% 13.86/14.07  
% 13.86/14.07  Resetting weight limit to 18 after 440 givens.
% 13.86/14.07  
% 14.07/14.24  
% 14.07/14.24  
% 14.07/14.24  Changing weight limit from 18 to 17.
% 14.07/14.24  
% 14.07/14.24  Resetting weight limit to 17 after 480 givens.
% 14.07/14.24  
% 14.38/14.57  
% 14.38/14.57  
% 14.38/14.57  Changing weight limit from 17 to 16.
% 14.38/14.57  
% 14.38/14.57  Resetting weight limit to 16 after 565 givens.
% 14.38/14.57  
% 15.17/15.38  
% 15.17/15.38  
% 15.17/15.38  Changing weight limit from 16 to 15.
% 15.17/15.38  
% 15.17/15.38  Resetting weight limit to 15 after 840 givens.
% 15.17/15.38  
% 16.26/16.49  
% 16.26/16.49  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 16.26/16.49  
% 16.26/16.49  ----> UNIT CONFLICT at  15.90 sec ----> 42384 [binary,42383.1,2.1] {-} $F.
% 16.26/16.49  
% 16.26/16.49  Length of proof is 34.  Level of proof is 22.
% 16.26/16.49  
% 16.26/16.49  ---------------- PROOF ----------------
% 16.26/16.49  % SZS status Unsatisfiable
% 16.26/16.49  % SZS output start Refutation
% 16.26/16.49  
% 16.26/16.49  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 16.26/16.49  2 [] {+} -is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),x))).
% 16.26/16.49  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 16.26/16.49  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 16.26/16.49  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 16.26/16.49  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 16.26/16.49  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 16.26/16.49  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 16.26/16.49  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 16.26/16.49  21 [hyper,6,1,7] {-} is_a_theorem(implies(implies(not(implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(C,A),D))).
% 16.26/16.49  28 [hyper,9,1,7] {-} is_a_theorem(implies(implies(not(implies(implies(not(A),B),C)),implies(implies(not(A),B),C)),implies(A,C))).
% 16.26/16.49  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 16.26/16.49  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 16.26/16.49  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 16.26/16.49  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 16.26/16.49  60 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 16.26/16.49  78 [hyper,60,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 16.26/16.49  91 [hyper,78,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 16.26/16.49  119 [hyper,91,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 16.26/16.49  183 [hyper,119,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 16.26/16.49  184 [hyper,12,1,91] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 16.26/16.49  208 [hyper,183,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 16.26/16.49  280 [hyper,184,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 16.26/16.49  319 [hyper,280,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 16.26/16.49  2260 [hyper,319,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 16.26/16.49  2319 [hyper,2260,1,319] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 16.26/16.49  2337 [hyper,2319,1,2319] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 16.26/16.49  2353 [hyper,2319,1,28] {+} is_a_theorem(implies(A,implies(B,A))).
% 16.26/16.49  2376 [hyper,2353,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 16.26/16.49  2429 [hyper,2337,1,208] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 16.26/16.49  3422 [hyper,2376,1,2429] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 16.26/16.49  4210 [hyper,3422,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 16.26/16.49  23668 [hyper,4210,1,319] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 16.26/16.49  23776 [hyper,23668,1,21] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 16.26/16.49  24115 [hyper,23776,1,319] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 16.26/16.49  24563 [hyper,24115,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 16.26/16.49  25056 [hyper,24563,1,23668] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 16.26/16.49  35506 [hyper,25056,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 16.26/16.49  42383 [hyper,35506,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 16.26/16.49  42384 [binary,42383.1,2.1] {-} $F.
% 16.26/16.49  
% 16.26/16.49  % SZS output end Refutation
% 16.26/16.49  ------------ end of proof -------------
% 16.26/16.49  
% 16.26/16.49  
% 16.26/16.49  Search stopped by max_proofs option.
% 16.26/16.49  
% 16.26/16.49  
% 16.26/16.49  Search stopped by max_proofs option.
% 16.26/16.49  
% 16.26/16.49  ============ end of search ============
% 16.26/16.49  
% 16.26/16.49  ----------- soft-scott stats ----------
% 16.26/16.49  
% 16.26/16.49  true clauses given         378      (30.0%)
% 16.26/16.49  false clauses given        884
% 16.26/16.49  
% 16.26/16.49        FALSE     TRUE
% 16.26/16.49    12  134       190
% 16.26/16.49    13  976       646
% 16.26/16.49    14  1393      1072
% 16.26/16.49    15  4         591
% 16.26/16.49  tot:  2507      2499      (49.9% true)
% 16.26/16.49  
% 16.26/16.49  
% 16.26/16.49  Model 10 [ 5 1 392 ] (0.00 seconds, 250000 Inserts)
% 16.26/16.49  
% 16.26/16.49  That finishes the proof of the theorem.
% 16.26/16.49  
% 16.26/16.49  Process 3732 finished Sun Jul  3 03:22:31 2022
%------------------------------------------------------------------------------