TSTP Solution File: LCL051-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL051-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.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 14:27:36 EDT 2022

% Result   : Unsatisfiable 29.52s 29.71s
% Output   : Refutation 29.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL051-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n015.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 06:12:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox on n015.cluster.edu,
% 0.12/0.36  Mon Jul  4 06:12:01 2022
% 0.12/0.36  The command was "./sos".  The process ID is 23197.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This is a Horn set without equality.  The strategy will
% 0.12/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.36  in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: clear(order_hyper).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36  
% 0.12/0.36  ======= 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: 5
% 0.19/0.38  percentage of clauses intially in UL: 40
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 83
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 6
% 0.19/0.38     distinct predicate count: 1
% 0.19/0.38     distinct function count: 2
% 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 ===========
% 14.88/15.08  
% 14.88/15.08  
% 14.88/15.08  Changing weight limit from 60 to 46.
% 14.88/15.08  
% 14.88/15.08  Model 2 (0.00 seconds, 0 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on number of solutions
% 14.88/15.08  
% 14.88/15.08  Model 3 (0.00 seconds, 0 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on number of solutions
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 4 [ 1 1 62 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 5 [ 1 0 204 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 6 [ 2 2 12621 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 7 [ 2 1 1026 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 8 [ 3 4 25534 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 9 [ 3 0 936 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Stopped by limit on insertions
% 14.88/15.08  
% 14.88/15.08  Model 10 [ 7 2 12860 ] (0.00 seconds, 250000 Inserts)
% 14.88/15.08  
% 14.88/15.08  Resetting weight limit to 46 after 125 givens.
% 14.88/15.08  
% 18.97/19.16  
% 18.97/19.16  
% 18.97/19.16  Changing weight limit from 46 to 47.
% 18.97/19.16  
% 18.97/19.16  Stopped by limit on insertions
% 18.97/19.16  
% 18.97/19.16  Model 11 [ 4 1 312 ] (0.00 seconds, 250000 Inserts)
% 18.97/19.16  
% 18.97/19.16  Stopped by limit on insertions
% 18.97/19.16  
% 18.97/19.16  Model 12 [ 4 1 343 ] (0.00 seconds, 250000 Inserts)
% 18.97/19.16  
% 18.97/19.16  Resetting weight limit to 47 after 140 givens.
% 18.97/19.16  
% 18.97/19.18  
% 18.97/19.18  
% 18.97/19.18  Changing weight limit from 47 to 48.
% 18.97/19.18  
% 18.97/19.18  Resetting weight limit to 48 after 145 givens.
% 18.97/19.18  
% 19.01/19.20  
% 19.01/19.20  
% 19.01/19.20  Changing weight limit from 48 to 49.
% 19.01/19.20  
% 19.01/19.20  Resetting weight limit to 49 after 150 givens.
% 19.01/19.20  
% 19.01/19.22  
% 19.01/19.22  
% 19.01/19.22  Changing weight limit from 49 to 42.
% 19.01/19.22  
% 19.01/19.22  Resetting weight limit to 42 after 155 givens.
% 19.01/19.22  
% 21.78/21.99  
% 21.78/21.99  
% 21.78/21.99  Changing weight limit from 42 to 41.
% 21.78/21.99  
% 21.78/21.99  Stopped by limit on insertions
% 21.78/21.99  
% 21.78/21.99  Model 13 [ 6 1 812 ] (0.00 seconds, 250000 Inserts)
% 21.78/21.99  
% 21.78/21.99  Resetting weight limit to 41 after 255 givens.
% 21.78/21.99  
% 21.87/22.10  
% 21.87/22.10  
% 21.87/22.10  Changing weight limit from 41 to 40.
% 21.87/22.10  
% 21.87/22.10  Resetting weight limit to 40 after 265 givens.
% 21.87/22.10  
% 23.49/23.67  
% 23.49/23.67  
% 23.49/23.67  Changing weight limit from 40 to 33.
% 23.49/23.67  
% 23.49/23.67  Stopped by limit on insertions
% 23.49/23.67  
% 23.49/23.67  Resetting weight limit to 33 after 270 givens.
% 23.49/23.67  
% 23.54/23.73  
% 23.54/23.73  
% 23.54/23.73  Changing weight limit from 33 to 26.
% 23.54/23.73  
% 23.54/23.73  Resetting weight limit to 26 after 275 givens.
% 23.54/23.73  
% 23.64/23.88  
% 23.64/23.88  
% 23.64/23.88  Changing weight limit from 26 to 22.
% 23.64/23.88  
% 23.64/23.88  Resetting weight limit to 22 after 280 givens.
% 23.64/23.88  
% 23.71/23.96  
% 23.71/23.96  
% 23.71/23.96  Changing weight limit from 22 to 20.
% 23.71/23.96  
% 23.71/23.96  Resetting weight limit to 20 after 285 givens.
% 23.71/23.96  
% 26.85/27.11  
% 26.85/27.11  
% 26.85/27.11  Changing weight limit from 20 to 19.
% 26.85/27.11  
% 26.85/27.11  Stopped by limit on insertions
% 26.85/27.11  
% 26.85/27.11  Model 14 [ 7 2 9965 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.11  
% 26.85/27.11  Modelling stopped after 300 given clauses and 0.00 seconds
% 26.85/27.11  
% 26.85/27.11  
% 26.85/27.11  Resetting weight limit to 19 after 505 givens.
% 26.85/27.11  
% 27.16/27.35  
% 27.16/27.35  
% 27.16/27.35  Changing weight limit from 19 to 18.
% 27.16/27.35  
% 27.16/27.35  Resetting weight limit to 18 after 540 givens.
% 27.16/27.35  
% 27.78/28.02  
% 27.78/28.02  
% 27.78/28.02  Changing weight limit from 18 to 17.
% 27.78/28.02  
% 27.78/28.02  Resetting weight limit to 17 after 650 givens.
% 27.78/28.02  
% 29.07/29.34  
% 29.07/29.34  
% 29.07/29.34  Changing weight limit from 17 to 16.
% 29.07/29.34  
% 29.07/29.34  Resetting weight limit to 16 after 965 givens.
% 29.07/29.34  
% 29.52/29.71  
% 29.52/29.71  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 29.52/29.71  
% 29.52/29.71  ----> UNIT CONFLICT at  29.15 sec ----> 58196 [binary,58195.1,2.1] {-} $F.
% 29.52/29.71  
% 29.52/29.71  Length of proof is 24.  Level of proof is 13.
% 29.52/29.71  
% 29.52/29.71  ---------------- PROOF ----------------
% 29.52/29.71  % SZS status Unsatisfiable
% 29.52/29.71  % SZS output start Refutation
% 29.52/29.71  
% 29.52/29.71  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 29.52/29.71  2 [] {+} -is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))).
% 29.52/29.71  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 29.52/29.71  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 29.52/29.71  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 29.52/29.71  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 29.52/29.71  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 29.52/29.71  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 29.52/29.71  12 [hyper,7,1,7] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 29.52/29.71  17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 29.52/29.71  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))).
% 29.52/29.71  22 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 29.52/29.71  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 29.52/29.71  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 29.52/29.71  36 [hyper,34,1,5] {+} is_a_theorem(implies(not(implies(A,A)),B)).
% 29.52/29.71  64 [hyper,29,1,9] {-} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 29.52/29.71  68 [hyper,29,1,36] {+} is_a_theorem(implies(A,implies(not(implies(B,B)),C))).
% 29.52/29.71  78 [hyper,64,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 29.52/29.71  97 [hyper,68,1,3] {+} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 29.52/29.71  1361 [hyper,97,1,12] {-} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 29.52/29.71  1377 [hyper,1361,1,22] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 29.52/29.71  1389 [hyper,1377,1,1377] {+} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 29.52/29.71  1397 [hyper,1377,1,78] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 29.52/29.71  1449 [hyper,1397,1,1377] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 29.52/29.71  1569 [hyper,1449,1,17] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 29.52/29.71  29173 [hyper,1389,1,21] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 29.52/29.71  29217 [hyper,29173,1,1569] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 29.52/29.71  29532 [hyper,29217,1,22] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 29.52/29.71  58195 [hyper,29532,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 29.52/29.71  58196 [binary,58195.1,2.1] {-} $F.
% 29.52/29.71  
% 29.52/29.71  % SZS output end Refutation
% 29.52/29.71  ------------ end of proof -------------
% 29.52/29.71  
% 29.52/29.71  
% 29.52/29.71  Search stopped by max_proofs option.
% 29.52/29.71  
% 29.52/29.71  
% 29.52/29.71  Search stopped by max_proofs option.
% 29.52/29.71  
% 29.52/29.71  ============ end of search ============
% 29.52/29.71  
% 29.52/29.71  ----------- soft-scott stats ----------
% 29.52/29.71  
% 29.52/29.71  true clauses given         214      (20.2%)
% 29.52/29.71  false clauses given        843
% 29.52/29.71  
% 29.52/29.71        FALSE     TRUE
% 29.52/29.71    12  156       168
% 29.52/29.71    13  997       332
% 29.52/29.71    14  1346      561
% 29.52/29.71    15  4         784
% 29.52/29.71    16  10        654
% 29.52/29.71  tot:  2513      2499      (49.9% true)
% 29.52/29.71  
% 29.52/29.71  
% 29.52/29.71  Model 14 [ 7 2 9965 ] (0.00 seconds, 250000 Inserts)
% 29.52/29.71  
% 29.52/29.71  That finishes the proof of the theorem.
% 29.52/29.71  
% 29.52/29.71  Process 23197 finished Mon Jul  4 06:12:30 2022
%------------------------------------------------------------------------------