TSTP Solution File: CAT005-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 00:07:17 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n024.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 : Sun May 29 17:55:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n024.cluster.edu,
% 0.13/0.36  Sun May 29 17:55:06 2022
% 0.13/0.36  The command was "./sos".  The process ID is 30118.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36  sos and nonpositive clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.20/0.38  
% 0.20/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38  
% 0.20/0.38  Stopped by limit on number of solutions
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  -------------- Softie stats --------------
% 0.20/0.38  
% 0.20/0.38  UPDATE_STOP: 300
% 0.20/0.38  SFINDER_TIME_LIMIT: 2
% 0.20/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38  number of clauses in intial UL: 11
% 0.20/0.38  number of clauses initially in problem: 19
% 0.20/0.38  percentage of clauses intially in UL: 57
% 0.20/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.38  percent of all initial clauses that are short: 100
% 0.20/0.38  absolute distinct symbol count: 8
% 0.20/0.38     distinct predicate count: 3
% 0.20/0.38     distinct function count: 3
% 0.20/0.38     distinct constant count: 2
% 0.20/0.38  
% 0.20/0.38  ---------- no more Softie stats ----------
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  =========== start of search ===========
% 0.60/0.79  
% 0.60/0.79  -------- PROOF -------- 
% 0.60/0.79  % SZS status Unsatisfiable
% 0.60/0.79  % SZS output start Refutation
% 0.60/0.79  
% 0.60/0.79  Model 2 (0.00 seconds, 0 Inserts)
% 0.60/0.79  
% 0.60/0.79  Stopped by limit on number of solutions
% 0.60/0.79  
% 0.60/0.79  Stopped by limit on insertions
% 0.60/0.79  
% 0.60/0.79  Model 3 [ 1 0 477 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.79  
% 0.60/0.79  Stopped by limit on insertions
% 0.60/0.79  
% 0.60/0.79  Model 4 [ 1 1 207 ] (0.00 seconds, 250000 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 5 [ 1 0 133 ] (0.00 seconds, 11663 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 6 [ 1 1 11799 ] (0.00 seconds, 18327 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 7 [ 2 1 5547 ] (0.00 seconds, 43361 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 8 [ 2 0 7910 ] (0.00 seconds, 13562 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 9 [ 2 1 250 ] (0.00 seconds, 32096 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 10 [ 2 1 236 ] (0.00 seconds, 32222 Inserts)
% 0.60/0.79  
% 0.60/0.79  Model 11 [ 3 0 175 ] (0.00 seconds, 246294 Inserts)
% 0.60/0.79  
% 0.60/0.79  ----> UNIT CONFLICT at   0.41 sec ----> 102 [binary,100.1,37.1] {+} $F.
% 0.60/0.79  
% 0.60/0.79  Length of proof is 6.  Level of proof is 4.
% 0.60/0.79  
% 0.60/0.79  ---------------- PROOF ----------------
% 0.60/0.79  % SZS status Unsatisfiable
% 0.60/0.79  % SZS output start Refutation
% 0.60/0.79  
% 0.60/0.79  5 [] {+} -there_exists(codomain(A))|there_exists(A).
% 0.60/0.79  6 [] {+} -there_exists(compose(A,B))|there_exists(domain(A)).
% 0.60/0.79  7 [] {+} -there_exists(compose(A,B))|domain(A)=codomain(B).
% 0.60/0.79  9 [] {+} -there_exists(compose(A,d))|compose(A,d)=A.
% 0.60/0.79  11 [] {+} domain(a)!=d.
% 0.60/0.79  18,17 [] {+} compose(codomain(A),A)=A.
% 0.60/0.79  19 [] {+} there_exists(compose(a,d)).
% 0.60/0.79  34,33 [hyper,19,7] {-} domain(a)=codomain(d).
% 0.60/0.79  35 [hyper,19,6,demod,34] {+} there_exists(codomain(d)).
% 0.60/0.79  37 [back_demod,11,demod,34] {+} codomain(d)!=d.
% 0.60/0.79  55 [para_into,17.1.1,9.2.1,demod,18] {+} codomain(d)=d| -there_exists(d).
% 0.60/0.79  61 [hyper,35,5] {+} there_exists(d).
% 0.60/0.79  100 [hyper,55,61] {-} codomain(d)=d.
% 0.60/0.79  102 [binary,100.1,37.1] {+} $F.
% 0.60/0.79  
% 0.60/0.79  % SZS output end Refutation
% 0.60/0.79  ------------ end of proof -------------
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  Search stopped by max_proofs option.
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  Search stopped by max_proofs option.
% 0.60/0.79  
% 0.60/0.79  ============ end of search ============
% 0.60/0.79  
% 0.60/0.79  ----------- soft-scott stats ----------
% 0.60/0.79  
% 0.60/0.79  true clauses given           3      (21.4%)
% 0.60/0.79  false clauses given         11
% 0.60/0.79  
% 0.60/0.79        FALSE     TRUE
% 0.60/0.79     3  0         1
% 0.60/0.79     4  0         1
% 0.60/0.79     5  1         4
% 0.60/0.79     6  0         4
% 0.60/0.79     7  2         3
% 0.60/0.79     8  0         6
% 0.60/0.79     9  1         4
% 0.60/0.79    10  1         8
% 0.60/0.79    11  0         2
% 0.60/0.79    12  0         4
% 0.60/0.79    13  0         2
% 0.60/0.79    14  0         2
% 0.60/0.79    15  0         2
% 0.60/0.79    16  0         6
% 0.60/0.79    18  0         4
% 0.60/0.79    19  0         1
% 0.60/0.79    20  0         1
% 0.60/0.79    22  0         1
% 0.60/0.79  tot:  5         56      (91.8% true)
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  Model 11 [ 3 0 175 ] (0.00 seconds, 246294 Inserts)
% 0.60/0.79  
% 0.60/0.79  That finishes the proof of the theorem.
% 0.60/0.79  
% 0.60/0.79  Process 30118 finished Sun May 29 17:55:07 2022
%------------------------------------------------------------------------------