TSTP Solution File: LCL030-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n014.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 14:27:27 EDT 2022

% Result   : Unsatisfiable 20.34s 20.55s
% Output   : Refutation 20.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 02:25:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n014.cluster.edu,
% 0.13/0.35  Mon Jul  4 02:25:54 2022
% 0.13/0.35  The command was "./sos".  The process ID is 25122.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a Horn set without equality.  The strategy will
% 0.13/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35  in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: clear(order_hyper).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= 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: 6
% 0.19/0.38  percentage of clauses intially in UL: 33
% 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: 1
% 0.19/0.38     distinct constant count: 4
% 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 ===========
% 18.54/18.74  
% 18.54/18.74  
% 18.54/18.74  Changing weight limit from 60 to 58.
% 18.54/18.74  
% 18.54/18.74  Model 2 (0.00 seconds, 0 Inserts)
% 18.54/18.74  
% 18.54/18.74  Stopped by limit on number of solutions
% 18.54/18.74  
% 18.54/18.74  Model 3 (0.00 seconds, 0 Inserts)
% 18.54/18.74  
% 18.54/18.74  Stopped by limit on number of solutions
% 18.54/18.74  
% 18.54/18.74  Model 4 [ 1 0 1004 ] (0.00 seconds, 226099 Inserts)
% 18.54/18.74  
% 18.54/18.74  Model 5 [ 1 2 7648 ] (0.00 seconds, 219177 Inserts)
% 18.54/18.74  
% 18.54/18.74  Model 6 [ 1 1 2135 ] (0.00 seconds, 239369 Inserts)
% 18.54/18.74  
% 18.54/18.74  Model 7 [ 2 1 893 ] (0.00 seconds, 222041 Inserts)
% 18.54/18.74  
% 18.54/18.74  Model 8 [ 2 1 304 ] (0.00 seconds, 223306 Inserts)
% 18.54/18.74  
% 18.54/18.74  Resetting weight limit to 58 after 175 givens.
% 18.54/18.74  
% 20.10/20.29  
% 20.10/20.29  
% 20.10/20.29  Changing weight limit from 58 to 40.
% 20.10/20.29  
% 20.10/20.29  Resetting weight limit to 40 after 330 givens.
% 20.10/20.29  
% 20.34/20.51  
% 20.34/20.51  
% 20.34/20.51  Changing weight limit from 40 to 34.
% 20.34/20.51  
% 20.34/20.51  Resetting weight limit to 34 after 335 givens.
% 20.34/20.51  
% 20.34/20.55  
% 20.34/20.55  
% 20.34/20.55  Changing weight limit from 34 to 32.
% 20.34/20.55  
% 20.34/20.55  Resetting weight limit to 32 after 340 givens.
% 20.34/20.55  
% 20.34/20.55  
% 20.34/20.55  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 20.34/20.55  
% 20.34/20.55  ----> UNIT CONFLICT at  20.14 sec ----> 15971 [binary,15970.1,2.1] {-} $F.
% 20.34/20.55  
% 20.34/20.55  Length of proof is 9.  Level of proof is 6.
% 20.34/20.55  
% 20.34/20.55  ---------------- PROOF ----------------
% 20.34/20.55  % SZS status Unsatisfiable
% 20.34/20.55  % SZS output start Refutation
% 20.34/20.55  
% 20.34/20.55  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 20.34/20.55  2 [] {+} -is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))).
% 20.34/20.55  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 20.34/20.55  4 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 20.34/20.55  5 [] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 20.34/20.55  7 [hyper,3,1,3] {+} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 20.34/20.55  17 [hyper,7,1,7] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 20.34/20.55  21 [hyper,7,1,5] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 20.34/20.55  26 [hyper,21,1,7] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))).
% 20.34/20.55  27 [hyper,21,1,4] {-} is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))).
% 20.34/20.55  72 [hyper,27,1,26] {-} is_a_theorem(implies(implies(implies(implies(A,implies(A,B)),implies(A,B)),C),C)).
% 20.34/20.55  153 [hyper,17,1,3] {+} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(A,D))),E),implies(implies(C,implies(B,D)),E))).
% 20.34/20.55  1012 [hyper,72,1,7] {-} is_a_theorem(implies(implies(A,implies(B,implies(B,C))),implies(A,implies(B,C)))).
% 20.34/20.55  15970 [hyper,153,1,1012] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 20.34/20.55  15971 [binary,15970.1,2.1] {-} $F.
% 20.34/20.55  
% 20.34/20.55  % SZS output end Refutation
% 20.34/20.55  ------------ end of proof -------------
% 20.34/20.55  
% 20.34/20.55  
% 20.34/20.55  Search stopped by max_proofs option.
% 20.34/20.55  
% 20.34/20.55  
% 20.34/20.55  Search stopped by max_proofs option.
% 20.34/20.55  
% 20.34/20.55  ============ end of search ============
% 20.34/20.55  
% 20.34/20.55  ----------- soft-scott stats ----------
% 20.34/20.55  
% 20.34/20.55  true clauses given          97      (28.4%)
% 20.34/20.55  false clauses given        244
% 20.34/20.55  
% 20.34/20.55        FALSE     TRUE
% 20.34/20.55    12  0         104
% 20.34/20.55    14  141       297
% 20.34/20.55    16  926       460
% 20.34/20.55    18  1448      418
% 20.34/20.55    20  10        300
% 20.34/20.55    22  11        190
% 20.34/20.55    24  3         174
% 20.34/20.55    26  4         217
% 20.34/20.55    28  3         160
% 20.34/20.55    30  0         165
% 20.34/20.55    32  2         14
% 20.34/20.55  tot:  2548      2499      (49.5% true)
% 20.34/20.55  
% 20.34/20.55  
% 20.34/20.55  Model 8 [ 2 1 304 ] (0.00 seconds, 223306 Inserts)
% 20.34/20.55  
% 20.34/20.55  That finishes the proof of the theorem.
% 20.34/20.55  
% 20.34/20.55  Process 25122 finished Mon Jul  4 02:26:14 2022
%------------------------------------------------------------------------------