TSTP Solution File: LCL085-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 14:27:50 EDT 2022

% Result   : Unsatisfiable 52.40s 52.65s
% Output   : Refutation 52.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 09:46:26 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n007.cluster.edu,
% 0.13/0.37  Mon Jul  4 09:46:26 2022
% 0.13/0.37  The command was "./sos".  The process ID is 11569.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set without equality.  The strategy will
% 0.13/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37  in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  -------------- Softie stats --------------
% 0.13/0.39  
% 0.13/0.39  UPDATE_STOP: 300
% 0.13/0.39  SFINDER_TIME_LIMIT: 2
% 0.13/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39  number of clauses in intial UL: 2
% 0.13/0.39  number of clauses initially in problem: 3
% 0.13/0.39  percentage of clauses intially in UL: 66
% 0.13/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.39  percent of all initial clauses that are short: 100
% 0.13/0.39  absolute distinct symbol count: 4
% 0.13/0.39     distinct predicate count: 1
% 0.13/0.39     distinct function count: 1
% 0.13/0.39     distinct constant count: 2
% 0.13/0.39  
% 0.13/0.39  ---------- no more Softie stats ----------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  =========== start of search ===========
% 6.44/6.71  
% 6.44/6.71  
% 6.44/6.71  Changing weight limit from 60 to 42.
% 6.44/6.71  
% 6.44/6.71  Model 2 (0.00 seconds, 0 Inserts)
% 6.44/6.71  
% 6.44/6.71  Stopped by limit on number of solutions
% 6.44/6.71  
% 6.44/6.71  Model 3 (0.00 seconds, 0 Inserts)
% 6.44/6.71  
% 6.44/6.71  Stopped by limit on number of solutions
% 6.44/6.71  
% 6.44/6.71  Model 4 (0.00 seconds, 0 Inserts)
% 6.44/6.71  
% 6.44/6.71  Stopped by limit on number of solutions
% 6.44/6.71  
% 6.44/6.71  Model 5 (0.00 seconds, 0 Inserts)
% 6.44/6.71  
% 6.44/6.71  Stopped by limit on number of solutions
% 6.44/6.71  
% 6.44/6.71  Model 6 (0.00 seconds, 0 Inserts)
% 6.44/6.71  
% 6.44/6.71  Stopped by limit on number of solutions
% 6.44/6.71  
% 6.44/6.71  Model 7 [ 2 1 786 ] (0.00 seconds, 19060 Inserts)
% 6.44/6.71  
% 6.44/6.71  Model 8 [ 4 0 135 ] (0.00 seconds, 13039 Inserts)
% 6.44/6.71  
% 6.44/6.71  Modelling stopped after 300 given clauses and 0.00 seconds
% 6.44/6.71  
% 6.44/6.71  
% 6.44/6.71  Resetting weight limit to 42 after 435 givens.
% 6.44/6.71  
% 6.60/6.86  
% 6.60/6.86  
% 6.60/6.86  Changing weight limit from 42 to 36.
% 6.60/6.86  
% 6.60/6.86  Resetting weight limit to 36 after 440 givens.
% 6.60/6.86  
% 6.73/6.97  
% 6.73/6.97  
% 6.73/6.97  Changing weight limit from 36 to 34.
% 6.73/6.97  
% 6.73/6.97  Resetting weight limit to 34 after 445 givens.
% 6.73/6.97  
% 6.83/7.09  
% 6.83/7.09  
% 6.83/7.09  Changing weight limit from 34 to 32.
% 6.83/7.09  
% 6.83/7.09  Resetting weight limit to 32 after 450 givens.
% 6.83/7.09  
% 7.81/8.00  
% 7.81/8.00  
% 7.81/8.00  Changing weight limit from 32 to 30.
% 7.81/8.00  
% 7.81/8.00  Resetting weight limit to 30 after 455 givens.
% 7.81/8.00  
% 52.40/52.65  
% 52.40/52.65  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 52.40/52.65  
% 52.40/52.65  ----> UNIT CONFLICT at  51.51 sec ----> 25568 [binary,25567.1,2.1] {-} $F.
% 52.40/52.65  
% 52.40/52.65  Length of proof is 48.  Level of proof is 26.
% 52.40/52.65  
% 52.40/52.65  ---------------- PROOF ----------------
% 52.40/52.65  % SZS status Unsatisfiable
% 52.40/52.65  % SZS output start Refutation
% 52.40/52.65  
% 52.40/52.65  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 52.40/52.65  2 [] {+} -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 52.40/52.65  3 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))).
% 52.40/52.65  4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))).
% 52.40/52.65  5 [hyper,4,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))).
% 52.40/52.65  6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))).
% 52.40/52.65  7 [hyper,5,1,5] {+} is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))).
% 52.40/52.65  9 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))).
% 52.40/52.65  19 [hyper,6,1,9] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))).
% 52.40/52.65  20 [hyper,6,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))).
% 52.40/52.65  21 [hyper,19,1,19] {+} is_a_theorem(implies(implies(A,B),implies(B,B))).
% 52.40/52.65  24 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 52.40/52.65  25 [hyper,21,1,9] {+} is_a_theorem(implies(implies(A,B),implies(A,B))).
% 52.40/52.65  27 [hyper,25,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))).
% 52.40/52.65  30 [hyper,24,1,4] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 52.40/52.65  37 [hyper,30,1,30] {+} is_a_theorem(implies(A,implies(B,A))).
% 52.40/52.65  39 [hyper,27,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))).
% 52.40/52.65  42 [hyper,37,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))).
% 52.40/52.65  50 [hyper,20,1,3] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))).
% 52.40/52.65  54 [hyper,39,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))).
% 52.40/52.65  75 [hyper,54,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,implies(C,E))),implies(F,implies(D,implies(C,E))))).
% 52.40/52.65  76 [hyper,54,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))).
% 52.40/52.65  79 [hyper,76,1,76] {-} is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))).
% 52.40/52.65  84 [hyper,79,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))).
% 52.40/52.65  161 [hyper,84,1,42] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))).
% 52.40/52.65  164 [hyper,84,1,27] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 52.40/52.65  169 [hyper,164,1,164] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 52.40/52.65  175 [hyper,169,1,3] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))).
% 52.40/52.65  189 [hyper,161,1,169] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)).
% 52.40/52.65  192 [hyper,189,1,3] {-} is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))).
% 52.40/52.65  201 [hyper,175,1,175] {+} is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))).
% 52.40/52.65  215 [hyper,201,1,201] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 52.40/52.65  236 [hyper,215,1,50] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)).
% 52.40/52.65  272 [hyper,75,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))).
% 52.40/52.65  274 [hyper,272,1,272] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 52.40/52.65  281 [hyper,274,1,3] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 52.40/52.65  332 [hyper,281,1,281] {-} is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))).
% 52.40/52.65  339 [hyper,281,1,3] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))).
% 52.40/52.65  933 [hyper,192,1,215] {-} is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))).
% 52.40/52.65  945 [hyper,933,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))).
% 52.40/52.65  959 [hyper,945,1,236] {-} is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))).
% 52.40/52.65  992 [hyper,945,1,281] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))).
% 52.40/52.65  1007 [hyper,945,1,175] {-} is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))).
% 52.40/52.65  1031 [hyper,945,1,42] {-} is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))).
% 52.40/52.65  1449 [hyper,332,1,215] {-} is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)).
% 52.40/52.65  1491 [hyper,339,1,215] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)).
% 52.40/52.65  3896 [hyper,1031,1,1491] {-} is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))).
% 52.40/52.65  25025 [hyper,3896,1,959] {-} is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)).
% 52.40/52.65  25042 [hyper,25025,1,992] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))).
% 52.40/52.65  25120 [hyper,25042,1,1449] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))).
% 52.40/52.65  25567 [hyper,25120,1,1007] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 52.40/52.65  25568 [binary,25567.1,2.1] {-} $F.
% 52.40/52.65  
% 52.40/52.65  % SZS output end Refutation
% 52.40/52.65  ------------ end of proof -------------
% 52.40/52.65  
% 52.40/52.65  
% 52.40/52.65  Search stopped by max_proofs option.
% 52.40/52.65  
% 52.40/52.65  
% 52.40/52.65  Search stopped by max_proofs option.
% 52.40/52.65  
% 52.40/52.65  ============ end of search ============
% 52.40/52.65  
% 52.40/52.65  ----------- soft-scott stats ----------
% 52.40/52.65  
% 52.40/52.65  true clauses given          91      (5.7%)
% 52.40/52.65  false clauses given       1511
% 52.40/52.65  
% 52.40/52.65        FALSE     TRUE
% 52.40/52.65    14  2         0
% 52.40/52.65    16  7         0
% 52.40/52.65    18  12        0
% 52.40/52.65    20  715       27
% 52.40/52.65    22  1777      36
% 52.40/52.65    24  46        35
% 52.40/52.65    26  51        32
% 52.40/52.65    28  67        30
% 52.40/52.65    30  66        27
% 52.40/52.65  tot:  2743      187      (6.4% true)
% 52.40/52.65  
% 52.40/52.65  
% 52.40/52.65  Model 8 [ 4 0 135 ] (0.01 seconds, 13039 Inserts)
% 52.40/52.65  
% 52.40/52.65  That finishes the proof of the theorem.
% 52.40/52.65  
% 52.40/52.65  Process 11569 finished Mon Jul  4 09:47:19 2022
%------------------------------------------------------------------------------