TSTP Solution File: COL027-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 : Fri Jul 15 00:42:03 EDT 2022

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue May 31 15:59:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ----- Otter 3.2, August 2001 -----
% 0.12/0.34  The process was started by sandbox on n027.cluster.edu,
% 0.12/0.34  Tue May 31 15:59:32 2022
% 0.12/0.34  The command was "./sos".  The process ID is 624.
% 0.12/0.34  
% 0.12/0.34  set(prolog_style_variables).
% 0.12/0.34  set(auto).
% 0.12/0.34     dependent: set(auto1).
% 0.12/0.34     dependent: set(process_input).
% 0.12/0.34     dependent: clear(print_kept).
% 0.12/0.34     dependent: clear(print_new_demod).
% 0.12/0.34     dependent: clear(print_back_demod).
% 0.12/0.34     dependent: clear(print_back_sub).
% 0.12/0.34     dependent: set(control_memory).
% 0.12/0.34     dependent: assign(max_mem, 12000).
% 0.12/0.34     dependent: assign(pick_given_ratio, 4).
% 0.12/0.34     dependent: assign(stats_level, 1).
% 0.12/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34     dependent: assign(sos_limit, 5000).
% 0.12/0.34     dependent: assign(max_weight, 60).
% 0.12/0.34  clear(print_given).
% 0.12/0.34  
% 0.12/0.34  list(usable).
% 0.12/0.34  
% 0.12/0.34  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.12/0.34  
% 0.12/0.34  All clauses are units, and equality is present; the
% 0.12/0.34  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.12/0.34  
% 0.12/0.34     dependent: set(knuth_bendix).
% 0.12/0.34     dependent: set(para_from).
% 0.12/0.34     dependent: set(para_into).
% 0.12/0.34     dependent: clear(para_from_right).
% 0.12/0.34     dependent: clear(para_into_right).
% 0.12/0.34     dependent: set(para_from_vars).
% 0.12/0.34     dependent: set(eq_units_both_ways).
% 0.12/0.34     dependent: set(dynamic_demod_all).
% 0.12/0.34     dependent: set(dynamic_demod).
% 0.12/0.34     dependent: set(order_eq).
% 0.12/0.34     dependent: set(back_demod).
% 0.12/0.34     dependent: set(lrpo).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34    Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] {-} A=A.
% 0.12/0.34    Following clause subsumed by 5 during input processing: 0 [copy,7,flip.1] {-} apply(apply(apply(h,A),B),C)=apply(apply(apply(A,B),C),B).
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.18/0.37  
% 0.18/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37  
% 0.18/0.37  Stopped by limit on number of solutions
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  -------------- Softie stats --------------
% 0.18/0.37  
% 0.18/0.37  UPDATE_STOP: 300
% 0.18/0.37  SFINDER_TIME_LIMIT: 2
% 0.18/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37  number of clauses in intial UL: 1
% 0.18/0.37  number of clauses initially in problem: 6
% 0.18/0.37  percentage of clauses intially in UL: 16
% 0.18/0.37  percentage of distinct symbols occuring in initial UL: 60
% 0.18/0.37  percent of all initial clauses that are short: 100
% 0.18/0.37  absolute distinct symbol count: 5
% 0.18/0.37     distinct predicate count: 1
% 0.18/0.37     distinct function count: 1
% 0.18/0.37     distinct constant count: 3
% 0.18/0.37  
% 0.18/0.37  ---------- no more Softie stats ----------
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  =========== start of search ===========
% 0.18/0.41  
% 0.18/0.41  -------- PROOF -------- 
% 0.18/0.41  % SZS status Unsatisfiable
% 0.18/0.41  % SZS output start Refutation
% 0.18/0.41  
% 0.18/0.41  ----> UNIT CONFLICT at   0.04 sec ----> 437 [binary,436.1,2.1] {-} $F.
% 0.18/0.41  
% 0.18/0.41  Length of proof is 4.  Level of proof is 3.
% 0.18/0.41  
% 0.18/0.41  ---------------- PROOF ----------------
% 0.18/0.41  % SZS status Unsatisfiable
% 0.18/0.41  % SZS output start Refutation
% 0.18/0.41  
% 0.18/0.41  1 [] {-} A!=apply(combinator,A).
% 0.18/0.41  2 [copy,1,flip.1] {+} apply(combinator,A)!=A.
% 0.18/0.41  3 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.18/0.41  5 [] {-} apply(apply(apply(h,A),B),C)=apply(apply(apply(A,B),C),B).
% 0.18/0.41  7 [copy,5,flip.1] {-} apply(apply(apply(A,B),C),B)=apply(apply(apply(h,A),B),C).
% 0.18/0.41  17 [para_into,7.1.1.1,3.1.1] {-} apply(apply(A,apply(B,C)),B)=apply(apply(apply(h,apply(b,A)),B),C).
% 0.18/0.41  436 [para_into,17.1.1,3.1.1] {-} apply(A,apply(apply(B,C),B))=apply(apply(apply(h,apply(b,apply(b,A))),B),C).
% 0.18/0.41  437 [binary,436.1,2.1] {-} $F.
% 0.18/0.41  
% 0.18/0.41  % SZS output end Refutation
% 0.18/0.41  ------------ end of proof -------------
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Search stopped by max_proofs option.
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Search stopped by max_proofs option.
% 0.18/0.41  
% 0.18/0.41  ============ end of search ============
% 0.18/0.41  
% 0.18/0.41  ----------- soft-scott stats ----------
% 0.18/0.41  
% 0.18/0.41  true clauses given           3      (15.0%)
% 0.18/0.41  false clauses given         17
% 0.18/0.41  
% 0.18/0.41        FALSE     TRUE
% 0.18/0.41    17  9         2
% 0.18/0.41    19  35        2
% 0.18/0.41    21  31        3
% 0.18/0.41    23  29        2
% 0.18/0.41    25  34        1
% 0.18/0.41    27  45        1
% 0.18/0.41    29  39        1
% 0.18/0.41    31  30        0
% 0.18/0.41    33  8         0
% 0.18/0.41    35  11        0
% 0.18/0.41    37  6         0
% 0.18/0.41    39  10        0
% 0.18/0.41    41  2         0
% 0.18/0.41  tot:  289       12      (4.0% true)
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.41  
% 0.18/0.41  That finishes the proof of the theorem.
% 0.18/0.41  
% 0.18/0.41  Process 624 finished Tue May 31 15:59:32 2022
%------------------------------------------------------------------------------