TSTP Solution File: LCL042-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL042-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 14:27:32 EDT 2022

% Result   : Unsatisfiable 227.24s 227.41s
% Output   : Refutation 227.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL042-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n028.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 21:18:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n028.cluster.edu,
% 0.12/0.35  Mon Jul  4 21:18:35 2022
% 0.12/0.35  The command was "./sos".  The process ID is 21836.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 2
% 0.19/0.39  number of clauses initially in problem: 7
% 0.19/0.39  percentage of clauses intially in UL: 28
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 83
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 6
% 0.19/0.39     distinct predicate count: 1
% 0.19/0.39     distinct function count: 2
% 0.19/0.39     distinct constant count: 3
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 10.81/11.01  
% 10.81/11.01  
% 10.81/11.01  Changing weight limit from 60 to 31.
% 10.81/11.01  
% 10.81/11.01  Model 3 (0.00 seconds, 0 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on number of solutions
% 10.81/11.01  
% 10.81/11.01  Model 4 (0.00 seconds, 0 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on number of solutions
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 5 (0.00 seconds, 0 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on number of solutions
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 6 [ 2 0 83 ] (0.00 seconds, 250000 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 7 [ 4 1 6061 ] (0.00 seconds, 250000 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 8 [ 1 1 9302 ] (0.00 seconds, 250000 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 9 [ 3 1 1018 ] (0.00 seconds, 250000 Inserts)
% 10.81/11.01  
% 10.81/11.01  Stopped by limit on insertions
% 10.81/11.01  
% 10.81/11.01  Model 10 [ 3 1 5307 ] (0.00 seconds, 250000 Inserts)
% 10.81/11.01  
% 10.81/11.01  Resetting weight limit to 31 after 130 givens.
% 10.81/11.01  
% 11.79/12.01  
% 11.79/12.01  
% 11.79/12.01  Changing weight limit from 31 to 29.
% 11.79/12.01  
% 11.79/12.01  Resetting weight limit to 29 after 350 givens.
% 11.79/12.01  
% 11.85/12.05  
% 11.85/12.05  
% 11.85/12.05  Changing weight limit from 29 to 26.
% 11.85/12.05  
% 11.85/12.05  Resetting weight limit to 26 after 355 givens.
% 11.85/12.05  
% 11.89/12.09  
% 11.89/12.09  
% 11.89/12.09  Changing weight limit from 26 to 25.
% 11.89/12.09  
% 11.89/12.09  Resetting weight limit to 25 after 360 givens.
% 11.89/12.09  
% 12.02/12.20  
% 12.02/12.20  
% 12.02/12.20  Changing weight limit from 25 to 23.
% 12.02/12.20  
% 12.02/12.20  Resetting weight limit to 23 after 365 givens.
% 12.02/12.20  
% 12.08/12.26  
% 12.08/12.26  
% 12.08/12.26  Changing weight limit from 23 to 22.
% 12.08/12.26  
% 12.08/12.26  Resetting weight limit to 22 after 375 givens.
% 12.08/12.26  
% 12.08/12.30  
% 12.08/12.30  
% 12.08/12.30  Changing weight limit from 22 to 21.
% 12.08/12.30  
% 12.08/12.30  Resetting weight limit to 21 after 380 givens.
% 12.08/12.30  
% 12.18/12.39  
% 12.18/12.39  
% 12.18/12.39  Changing weight limit from 21 to 20.
% 12.18/12.39  
% 12.18/12.39  Modelling stopped after 300 given clauses and 0.00 seconds
% 12.18/12.39  
% 12.18/12.39  
% 12.18/12.39  Resetting weight limit to 20 after 390 givens.
% 12.18/12.39  
% 12.27/12.45  
% 12.27/12.45  
% 12.27/12.45  Changing weight limit from 20 to 19.
% 12.27/12.45  
% 12.27/12.45  Resetting weight limit to 19 after 405 givens.
% 12.27/12.45  
% 12.32/12.49  
% 12.32/12.49  
% 12.32/12.49  Changing weight limit from 19 to 18.
% 12.32/12.49  
% 12.32/12.49  Resetting weight limit to 18 after 410 givens.
% 12.32/12.49  
% 12.44/12.63  
% 12.44/12.63  
% 12.44/12.63  Changing weight limit from 18 to 17.
% 12.44/12.63  
% 12.44/12.63  Resetting weight limit to 17 after 435 givens.
% 12.44/12.63  
% 13.19/13.36  
% 13.19/13.36  
% 13.19/13.36  Changing weight limit from 17 to 16.
% 13.19/13.36  
% 13.19/13.36  Resetting weight limit to 16 after 675 givens.
% 13.19/13.36  
% 15.32/15.52  
% 15.32/15.52  
% 15.32/15.52  Changing weight limit from 16 to 15.
% 15.32/15.52  
% 15.32/15.52  Resetting weight limit to 15 after 1285 givens.
% 15.32/15.52  
% 227.24/227.41  
% 227.24/227.41  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 227.24/227.41  
% 227.24/227.41  ----> UNIT CONFLICT at 199.22 sec ----> 405180 [binary,405179.1,2.1] {-} $F.
% 227.24/227.41  
% 227.24/227.41  Length of proof is 43.  Level of proof is 12.
% 227.24/227.41  
% 227.24/227.41  ---------------- PROOF ----------------
% 227.24/227.41  % SZS status Unsatisfiable
% 227.24/227.41  % SZS output start Refutation
% 227.24/227.41  
% 227.24/227.41  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 227.24/227.41  2 [] {+} -is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))).
% 227.24/227.41  3 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 227.24/227.41  4 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 227.24/227.41  5 [] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 227.24/227.41  6 [] {+} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 227.24/227.41  7 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))).
% 227.24/227.41  9 [hyper,4,1,4] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 227.24/227.41  15 [hyper,7,1,4] {-} is_a_theorem(implies(implies(not(A),implies(B,A)),implies(B,A))).
% 227.24/227.41  20 [hyper,15,1,3] {+} is_a_theorem(implies(not(not(A)),A)).
% 227.24/227.41  30 [hyper,5,1,7] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(A,B),B))).
% 227.24/227.41  31 [hyper,5,1,4] {-} is_a_theorem(implies(A,implies(B,B))).
% 227.24/227.41  32 [hyper,5,1,3] {-} is_a_theorem(implies(not(A),implies(A,B))).
% 227.24/227.41  33 [hyper,31,1,31] {+} is_a_theorem(implies(A,A)).
% 227.24/227.41  36 [hyper,33,1,7] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 227.24/227.41  37 [hyper,33,1,5] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 227.24/227.41  47 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(implies(D,B),implies(D,C))))).
% 227.24/227.41  48 [hyper,6,1,5] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 227.24/227.41  51 [hyper,6,1,36] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 227.24/227.41  52 [hyper,6,1,32] {-} is_a_theorem(implies(implies(A,not(B)),implies(A,implies(B,C)))).
% 227.24/227.41  54 [hyper,6,1,15] {-} is_a_theorem(implies(implies(A,implies(not(B),implies(C,B))),implies(A,implies(C,B)))).
% 227.24/227.41  56 [hyper,6,1,5] {-} is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(A,implies(C,implies(B,D))))).
% 227.24/227.41  57 [hyper,6,1,4] {-} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 227.24/227.41  58 [hyper,6,1,3] {-} is_a_theorem(implies(implies(A,B),implies(A,implies(not(B),C)))).
% 227.24/227.41  95 [hyper,9,1,5] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 227.24/227.41  109 [hyper,52,1,6] {+} is_a_theorem(implies(implies(A,implies(B,not(C))),implies(A,implies(B,implies(C,D))))).
% 227.24/227.41  211 [hyper,37,1,4] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),C)))).
% 227.24/227.41  373 [hyper,30,1,32] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 227.24/227.41  1487 [hyper,57,1,95] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))).
% 227.24/227.41  1928 [hyper,47,1,373] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(implies(C,A),implies(C,B)))).
% 227.24/227.41  1934 [hyper,47,1,211] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(B,implies(implies(C,D),D))))).
% 227.24/227.41  2108 [hyper,48,1,36] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 227.24/227.41  2119 [hyper,48,1,20] {+} is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))).
% 227.24/227.41  2939 [hyper,51,1,6] {+} is_a_theorem(implies(implies(A,implies(B,implies(not(C),C))),implies(A,implies(B,C)))).
% 227.24/227.41  3962 [hyper,56,1,6] {-} is_a_theorem(implies(implies(A,B),implies(C,implies(implies(C,A),B)))).
% 227.24/227.41  4469 [hyper,58,1,54] {-} is_a_theorem(implies(implies(not(A),B),implies(not(B),A))).
% 227.24/227.41  4808 [hyper,1487,1,4] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(D,implies(E,B)))))).
% 227.24/227.41  14966 [hyper,109,1,4469] {-} is_a_theorem(implies(implies(not(not(A)),B),implies(not(B),implies(A,C)))).
% 227.24/227.41  41193 [hyper,2108,1,2119] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(not(not(A)),B))).
% 227.24/227.41  104260 [hyper,1928,1,56] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(implies(C,A),B)))).
% 227.24/227.41  104520 [hyper,1934,1,56] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(implies(C,D),D))))).
% 227.24/227.41  144196 [hyper,2939,1,54] {-} is_a_theorem(implies(implies(not(A),implies(B,implies(not(A),A))),implies(B,A))).
% 227.24/227.41  203066 [hyper,104260,1,4808] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,implies(D,implies(E,B)))))).
% 227.24/227.41  232638 [hyper,41193,1,104520] {-} is_a_theorem(implies(not(not(A)),implies(implies(A,B),implies(implies(B,C),C)))).
% 227.24/227.41  262823 [hyper,203066,1,144196] {-} is_a_theorem(implies(implies(not(implies(A,implies(B,C))),C),implies(A,implies(B,C)))).
% 227.24/227.41  289251 [hyper,232638,1,56] {-} is_a_theorem(implies(not(not(A)),implies(implies(B,C),implies(implies(A,B),C)))).
% 227.24/227.41  331842 [hyper,289251,1,14966] {-} is_a_theorem(implies(not(implies(implies(A,B),implies(implies(C,A),B))),implies(C,D))).
% 227.24/227.41  404249 [hyper,331842,1,262823] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))).
% 227.24/227.41  404570 [hyper,404249,1,3962] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(implies(A,B),C)))).
% 227.24/227.41  405179 [hyper,404570,1,56] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 227.24/227.41  405180 [binary,405179.1,2.1] {-} $F.
% 227.24/227.41  
% 227.24/227.41  % SZS output end Refutation
% 227.24/227.41  ------------ end of proof -------------
% 227.24/227.41  
% 227.24/227.41  
% 227.24/227.41  Search stopped by max_proofs option.
% 227.24/227.41  
% 227.24/227.41  
% 227.24/227.41  Search stopped by max_proofs option.
% 227.24/227.41  
% 227.24/227.41  ============ end of search ============
% 227.24/227.41  
% 227.24/227.41  ----------- soft-scott stats ----------
% 227.24/227.41  
% 227.24/227.41  true clauses given        3654      (22.5%)
% 227.24/227.41  false clauses given      12610
% 227.24/227.41  
% 227.24/227.41        FALSE     TRUE
% 227.24/227.41    14  23        1
% 227.24/227.41    15  2520      1722
% 227.24/227.41  tot:  2543      1723      (40.4% true)
% 227.24/227.41  
% 227.24/227.41  
% 227.24/227.41  Model 10 [ 3 1 5307 ] (0.02 seconds, 250000 Inserts)
% 227.24/227.41  
% 227.24/227.41  That finishes the proof of the theorem.
% 227.24/227.41  
% 227.24/227.41  Process 21836 finished Mon Jul  4 21:22:22 2022
%------------------------------------------------------------------------------