TSTP Solution File: COL024-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COL024-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 00:42:02 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 06:47:40 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n019.cluster.edu,
% 0.19/0.36  Tue May 31 06:47:40 2022
% 0.19/0.36  The command was "./sos".  The process ID is 7091.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.19/0.36  
% 0.19/0.36  All clauses are units, and equality is present; the
% 0.19/0.36  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.19/0.36    Following clause subsumed by 5 during input processing: 0 [copy,8,flip.1] {-} apply(m,A)=apply(A,A).
% 0.19/0.36    Following clause subsumed by 6 during input processing: 0 [copy,9,flip.1] {-} apply(apply(apply(c,A),B),C)=apply(apply(A,C),B).
% 0.19/0.36  
% 0.19/0.36  ======= 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: 1
% 0.19/0.38  number of clauses initially in problem: 8
% 0.19/0.38  percentage of clauses intially in UL: 12
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 50
% 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 ===========
% 0.19/0.40  
% 0.19/0.40  -------- PROOF -------- 
% 0.19/0.40  % SZS status Unsatisfiable
% 0.19/0.40  % SZS output start Refutation
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  ----> UNIT CONFLICT at   0.01 sec ----> 31 [binary,30.1,2.1] {-} $F.
% 0.19/0.40  
% 0.19/0.40  Length of proof is 3.  Level of proof is 2.
% 0.19/0.40  
% 0.19/0.40  ---------------- PROOF ----------------
% 0.19/0.40  % SZS status Unsatisfiable
% 0.19/0.40  % SZS output start Refutation
% 0.19/0.40  
% 0.19/0.40  1 [] {-} A!=apply(combinator,A).
% 0.19/0.40  2 [copy,1,flip.1] {+} apply(combinator,A)!=A.
% 0.19/0.40  3 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.19/0.40  5 [] {+} apply(m,A)=apply(A,A).
% 0.19/0.40  8 [copy,5,flip.1] {+} apply(A,A)=apply(m,A).
% 0.19/0.40  30 [para_into,8.1.1,3.1.1] {-} apply(A,apply(B,apply(apply(b,A),B)))=apply(m,apply(apply(b,A),B)).
% 0.19/0.40  31 [binary,30.1,2.1] {-} $F.
% 0.19/0.40  
% 0.19/0.40  % SZS output end Refutation
% 0.19/0.40  ------------ end of proof -------------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Search stopped by max_proofs option.
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Search stopped by max_proofs option.
% 0.19/0.40  
% 0.19/0.40  ============ end of search ============
% 0.19/0.40  
% 0.19/0.40  ----------- soft-scott stats ----------
% 0.19/0.40  
% 0.19/0.40  true clauses given           2      (33.3%)
% 0.19/0.40  false clauses given          4
% 0.19/0.40  
% 0.19/0.40        FALSE     TRUE
% 0.19/0.40    13  2         0
% 0.19/0.40    15  6         0
% 0.19/0.40    19  6         0
% 0.19/0.40  tot:  14        0      (0.0% true)
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  That finishes the proof of the theorem.
% 0.19/0.40  
% 0.19/0.40  Process 7091 finished Tue May 31 06:47:40 2022
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