TSTP Solution File: GEO254+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n010.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 : Sat Jul 16 06:19:40 EDT 2022

% Result   : Theorem 5.12s 5.29s
% Output   : Refutation 5.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 14:27:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n010.cluster.edu,
% 0.14/0.36  Sat Jun 18 14:27:23 2022
% 0.14/0.36  The command was "./sos".  The process ID is 27881.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  formula_list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 0.14/0.36  
% 0.14/0.36  This is a non-Horn set without equality.  The strategy
% 0.14/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: set(factor).
% 0.14/0.36     dependent: set(unit_deletion).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36    Following clause subsumed by 31 during input processing: 0 [] {-} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 0.14/0.36    Following clause subsumed by 31 during input processing: 0 [] {-} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,reverse_line(C))|unequally_directed_lines(B,reverse_line(C)).
% 0.14/0.36    Following clause subsumed by 36 during input processing: 0 [] {-} -left_apart_point(A,reverse_line(B)).
% 0.14/0.36    Following clause subsumed by 37 during input processing: 0 [] {-} -left_convergent_lines(A,reverse_line(B)).
% 0.14/0.36    Following clause subsumed by 36 during input processing: 0 [unit_del,36,37] {-} -distinct_points(A,B)| -left_apart_point(A,C).
% 0.14/0.36    Following clause subsumed by 36 during input processing: 0 [unit_del,36] {-} -left_apart_point(A,B)|distinct_points(A,C).
% 0.14/0.36    Following clause subsumed by 36 during input processing: 0 [unit_del,36] {-} -left_apart_point(A,B)| -unequally_directed_lines(B,C)|distinct_lines(B,C).
% 0.14/0.36    Following clause subsumed by 37 during input processing: 0 [unit_del,37] {-} -left_convergent_lines(A,B)|unequally_directed_lines(B,C).
% 0.14/0.36  36 back subsumes 17.
% 0.14/0.36  36 back subsumes 16.
% 0.14/0.36  36 back subsumes 15.
% 0.14/0.36  36 back subsumes 14.
% 0.14/0.36  36 back subsumes 12.
% 0.14/0.36  36 back subsumes 11.
% 0.14/0.36  36 back subsumes 3.
% 0.14/0.36  36 back subsumes 2.
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.21/0.42  
% 0.21/0.42  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.42  
% 0.21/0.42  Stopped by limit on number of solutions
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  -------------- Softie stats --------------
% 0.21/0.42  
% 0.21/0.42  UPDATE_STOP: 300
% 0.21/0.42  SFINDER_TIME_LIMIT: 2
% 0.21/0.42  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.42  number of clauses in intial UL: 52
% 0.21/0.42  number of clauses initially in problem: 53
% 0.21/0.42  percentage of clauses intially in UL: 98
% 0.21/0.42  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.42  percent of all initial clauses that are short: 100
% 0.21/0.42  absolute distinct symbol count: 19
% 0.21/0.42     distinct predicate count: 12
% 0.21/0.42     distinct function count: 4
% 0.21/0.42     distinct constant count: 3
% 0.21/0.42  
% 0.21/0.42  ---------- no more Softie stats ----------
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  =========== start of search ===========
% 4.40/4.61  
% 4.40/4.61  
% 4.40/4.61  Changing weight limit from 60 to 27.
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Stopped by limit on insertions
% 4.40/4.61  
% 4.40/4.61  Resetting weight limit to 27 after 190 givens.
% 4.40/4.61  
% 4.69/4.89  
% 4.69/4.89  
% 4.69/4.89  Changing weight limit from 27 to 25.
% 4.69/4.89  
% 4.69/4.89  Resetting weight limit to 25 after 195 givens.
% 4.69/4.89  
% 5.12/5.29  
% 5.12/5.29  -------- PROOF -------- 
% 5.12/5.29  % SZS status Theorem
% 5.12/5.29  % SZS output start Refutation
% 5.12/5.29  
% 5.12/5.29  -----> EMPTY CLAUSE at   4.88 sec ----> 3462 [hyper,3457,54,3415] {-} $F.
% 5.12/5.29  
% 5.12/5.29  Length of proof is 25.  Level of proof is 10.
% 5.12/5.29  
% 5.12/5.29  ---------------- PROOF ----------------
% 5.12/5.29  % SZS status Theorem
% 5.12/5.29  % SZS output start Refutation
% 5.12/5.29  
% 5.12/5.29  18 [] {+} -before_on_line(A,B,C)| -unequally_directed_lines(A,line_connecting(B,C)).
% 5.12/5.29  19 [] {+} before_on_line(A,B,C)| -distinct_points(B,C)|left_apart_point(B,A)|left_apart_point(B,reverse_line(A))|left_apart_point(C,A)|left_apart_point(C,reverse_line(A))|unequally_directed_lines(A,line_connecting(B,C)).
% 5.12/5.29  26 [] {+} -distinct_points(A,A).
% 5.12/5.29  27 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 5.12/5.29  30 [] {+} -unequally_directed_lines(A,A).
% 5.12/5.29  31 [] {+} -unequally_directed_lines(A,B)|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 5.12/5.29  35 [] {+} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|left_convergent_lines(A,B)|left_convergent_lines(A,reverse_line(B)).
% 5.12/5.29  36 [] {+} -left_apart_point(A,B).
% 5.12/5.29  37 [] {+} -left_convergent_lines(A,B).
% 5.12/5.29  48 [] {+} -unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))).
% 5.12/5.29  54 [] {+} -before_on_line($c1,$c3,$c2)| -before_on_line($c1,$c2,$c3).
% 5.12/5.29  62 [] {-} distinct_points($c3,$c2).
% 5.12/5.29  63 [hyper,62,27] {-} distinct_points($c3,A)|distinct_points($c2,A).
% 5.12/5.29  64 [hyper,62,19,unit_del,36,36,36,36] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,line_connecting($c3,$c2)).
% 5.12/5.29  66 [hyper,63,26] {-} distinct_points($c2,$c3).
% 5.12/5.29  70 [hyper,66,19,unit_del,36,36,36,36] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(A,line_connecting($c2,$c3)).
% 5.12/5.29  72 [hyper,64,31] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,B)|unequally_directed_lines(line_connecting($c3,$c2),B).
% 5.12/5.29  96 [hyper,70,31] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(A,B)|unequally_directed_lines(line_connecting($c2,$c3),B).
% 5.12/5.29  126 [hyper,72,30] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(line_connecting($c3,$c2),A).
% 5.12/5.29  128 [hyper,72,35,72,unit_del,37,37] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(B))|before_on_line(C,$c3,$c2)|unequally_directed_lines(C,B).
% 5.12/5.29  131 [hyper,72,31] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,B)|unequally_directed_lines(line_connecting($c3,$c2),C)|unequally_directed_lines(B,C).
% 5.12/5.29  132 [factor,128.1.3] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,B).
% 5.12/5.29  139 [hyper,126,35,72,unit_del,37,37] {-} before_on_line(A,$c3,$c2)|before_on_line(B,$c3,$c2)|unequally_directed_lines(B,reverse_line(A)).
% 5.12/5.29  141 [factor,139.1.2] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(A)).
% 5.12/5.29  142 [hyper,141,48] {-} before_on_line(line_connecting(A,A),$c3,$c2).
% 5.12/5.29  208 [hyper,132,31] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 5.12/5.29  210 [factor,208.2.3] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(B,reverse_line(B)).
% 5.12/5.29  485 [hyper,96,30] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(line_connecting($c2,$c3),A).
% 5.12/5.29  501 [hyper,96,48] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(A,reverse_line(line_connecting($c3,$c2))).
% 5.12/5.29  549 [hyper,485,35,96,unit_del,37,37] {-} before_on_line(A,$c2,$c3)|before_on_line(B,$c2,$c3)|unequally_directed_lines(B,reverse_line(A)).
% 5.12/5.29  552 [factor,549.1.2] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(A,reverse_line(A)).
% 5.12/5.29  555 [hyper,552,31] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(A,B)|unequally_directed_lines(reverse_line(A),B).
% 5.12/5.29  986 [hyper,555,35,501,unit_del,37,37,factor_simp] {-} before_on_line(A,$c2,$c3)|unequally_directed_lines(reverse_line(A),line_connecting($c3,$c2)).
% 5.12/5.29  2460 [hyper,210,48] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,reverse_line(line_connecting(B,B))).
% 5.12/5.29  3376 [hyper,131,18,142,unit_del,30] {-} before_on_line(A,$c3,$c2)|unequally_directed_lines(A,line_connecting(B,B)).
% 5.12/5.29  3415 [hyper,3376,35,2460,unit_del,37,37,factor_simp] {-} before_on_line(A,$c3,$c2).
% 5.12/5.29  3457 [hyper,3415,18,986] {-} before_on_line(A,$c2,$c3).
% 5.12/5.29  3462 [hyper,3457,54,3415] {-} $F.
% 5.12/5.29  
% 5.12/5.29  % SZS output end Refutation
% 5.12/5.29  ------------ end of proof -------------
% 5.12/5.29  
% 5.12/5.29  
% 5.12/5.29  Search stopped by max_proofs option.
% 5.12/5.29  
% 5.12/5.29  
% 5.12/5.29  Search stopped by max_proofs option.
% 5.12/5.29  
% 5.12/5.29  ============ end of search ============
% 5.12/5.29  
% 5.12/5.29  ----------- soft-scott stats ----------
% 5.12/5.29  
% 5.12/5.29  true clauses given           0      (0.0%)
% 5.12/5.29  false clauses given        199
% 5.12/5.29  
% 5.12/5.29        FALSE     TRUE
% 5.12/5.29     7  2         0
% 5.12/5.29     8  2         0
% 5.12/5.29     9  8         0
% 5.12/5.29    10  4         0
% 5.12/5.29    11  4         0
% 5.12/5.29    12  11        0
% 5.12/5.29    13  2         0
% 5.12/5.29    14  22        0
% 5.12/5.29    15  58        0
% 5.12/5.29    16  2         0
% 5.12/5.29    17  14        0
% 5.12/5.29    18  82        0
% 5.12/5.29    19  4         0
% 5.12/5.29    20  4         0
% 5.12/5.29    22  56        0
% 5.12/5.29    25  68        0
% 5.12/5.29  tot:  343       0      (0.0% true)
% 5.12/5.29  
% 5.12/5.29  
% 5.12/5.29  Model 1 (0.00 seconds, 0 Inserts)
% 5.12/5.29  
% 5.12/5.29  That finishes the proof of the theorem.
% 5.12/5.29  
% 5.12/5.29  Process 27881 finished Sat Jun 18 14:27:28 2022
%------------------------------------------------------------------------------