TSTP Solution File: SYN094-1.005 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 : Thu Jul 21 12:10:01 EDT 2022

% Result   : Unsatisfiable 0.84s 1.02s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n011.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 11 12:27:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n011.cluster.edu,
% 0.13/0.35  Mon Jul 11 12:27:57 2022
% 0.13/0.35  The command was "./sos".  The process ID is 7168.
% 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=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.13/0.35  
% 0.13/0.35  The clause set is propositional; the strategy will be
% 0.13/0.35  ordered hyperresolution with the propositional
% 0.13/0.35  optimizations, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(propositional).
% 0.13/0.35     dependent: set(sort_literals).
% 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 =======
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  -------------- Softie stats --------------
% 0.13/0.39  
% 0.13/0.39  UPDATE_STOP: 300
% 0.13/0.39  SFINDER_TIME_LIMIT: 2
% 0.13/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39  number of clauses in intial UL: 78
% 0.13/0.39  number of clauses initially in problem: 82
% 0.13/0.39  percentage of clauses intially in UL: 95
% 0.13/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.39  percent of all initial clauses that are short: 100
% 0.13/0.39  absolute distinct symbol count: 63
% 0.13/0.39     distinct predicate count: 0
% 0.13/0.39     distinct function count: 0
% 0.13/0.39     distinct constant count: 63
% 0.13/0.39  
% 0.13/0.39  ---------- no more Softie stats ----------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  =========== start of search ===========
% 0.84/1.02  
% 0.84/1.02  -------- PROOF -------- 
% 0.84/1.02  % SZS status Unsatisfiable
% 0.84/1.02  % SZS output start Refutation
% 0.84/1.02  
% 0.84/1.02  Model 3 (0.00 seconds, 0 Inserts)
% 0.84/1.02  
% 0.84/1.02  Stopped by limit on number of solutions
% 0.84/1.02  
% 0.84/1.02  Model 4 [ 1 1 134 ] (0.00 seconds, 38647 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 5 [ 1 2 45266 ] (0.00 seconds, 126941 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 6 [ 2 0 100 ] (0.00 seconds, 38373 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 7 [ 3 0 66 ] (0.00 seconds, 210576 Inserts)
% 0.84/1.02  
% 0.84/1.02  Stopped by limit on insertions
% 0.84/1.02  
% 0.84/1.02  Model 8 [ 3 0 63 ] (0.00 seconds, 250000 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 9 [ 4 0 65 ] (0.00 seconds, 176667 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 10 [ 4 0 98 ] (0.00 seconds, 22617 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 11 [ 4 1 27329 ] (0.00 seconds, 31308 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 12 [ 5 0 97 ] (0.00 seconds, 84366 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 13 [ 5 1 3767 ] (0.00 seconds, 29556 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 14 [ 6 0 66 ] (0.00 seconds, 233033 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 15 [ 6 0 4185 ] (0.00 seconds, 46187 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 16 [ 7 0 94 ] (0.00 seconds, 45364 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 17 [ 7 1 31299 ] (0.00 seconds, 48822 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 18 [ 8 0 97 ] (0.00 seconds, 98034 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 19 [ 8 0 6396 ] (0.00 seconds, 14252 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 20 [ 9 1 102 ] (0.00 seconds, 98024 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 21 [ 9 0 1673 ] (0.00 seconds, 13594 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 22 [ 9 0 21008 ] (0.00 seconds, 99042 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 23 [ 10 1 106 ] (0.00 seconds, 44465 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 24 [ 10 1 4322 ] (0.00 seconds, 21707 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 25 [ 11 0 110 ] (0.00 seconds, 44616 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 26 [ 11 1 17308 ] (0.00 seconds, 24482 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 27 [ 12 0 63 ] (0.00 seconds, 91691 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 28 [ 12 0 5664 ] (0.00 seconds, 7379 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 29 [ 13 1 67697 ] (0.00 seconds, 112233 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 30 [ 13 0 810 ] (0.00 seconds, 6759 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 31 [ 14 0 121 ] (0.00 seconds, 45160 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 32 [ 14 1 8737 ] (0.00 seconds, 17086 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 33 [ 15 0 65 ] (0.00 seconds, 46583 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 34 [ 15 1 4451 ] (0.00 seconds, 17329 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 35 [ 16 0 167 ] (0.00 seconds, 87736 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 36 [ 16 2 66096 ] (0.00 seconds, 92986 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 37 [ 17 0 127 ] (0.00 seconds, 5971 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 38 [ 17 1 66142 ] (0.00 seconds, 83664 Inserts)
% 0.84/1.02  
% 0.84/1.02  Model 39 [ 18 0 127 ] (0.00 seconds, 5971 Inserts)
% 0.84/1.02  
% 0.84/1.02  ----> UNIT CONFLICT at   0.64 sec ----> 213 [binary,212.1,3.1] {-} $F.
% 0.84/1.02  
% 0.84/1.02  Length of proof is 71.  Level of proof is 19.
% 0.84/1.02  
% 0.84/1.02  ---------------- PROOF ----------------
% 0.84/1.02  % SZS status Unsatisfiable
% 0.84/1.02  % SZS output start Refutation
% 0.84/1.02  
% 0.84/1.02  1 [] {-} u_1| -p_0| -q_0.
% 0.84/1.02  2 [copy,1,propositional] {+} -p_0| -q_0|u_1.
% 0.84/1.02  3 [] {+} -u_1.
% 0.84/1.02  8 [] {-} u_3|p_0| -q_1| -q_2.
% 0.84/1.02  9 [copy,8,propositional] {+} -q_1| -q_2|p_0|u_3.
% 0.84/1.02  10 [] {-} p_0| -u_3.
% 0.84/1.02  11 [copy,10,propositional] {+} -u_3|p_0.
% 0.84/1.02  24 [] {-} u_7|p_2| -q_3| -q_4.
% 0.84/1.02  25 [copy,24,propositional] {+} -q_3| -q_4|p_2|u_7.
% 0.84/1.02  26 [] {-} p_2| -u_7.
% 0.84/1.02  27 [copy,26,propositional] {+} -u_7|p_2.
% 0.84/1.02  32 [] {-} u_9|p_3| -q_4| -q_5.
% 0.84/1.02  33 [copy,32,propositional] {+} -q_4| -q_5|p_3|u_9.
% 0.84/1.02  34 [] {-} p_3| -u_9.
% 0.84/1.02  35 [copy,34,propositional] {+} -u_9|p_3.
% 0.84/1.02  40 [] {-} u_11|p_4| -q_5| -q_6.
% 0.84/1.02  41 [copy,40,propositional] {+} -q_5| -q_6|p_4|u_11.
% 0.84/1.02  42 [] {-} p_4| -u_11.
% 0.84/1.02  43 [copy,42,propositional] {+} -u_11|p_4.
% 0.84/1.02  48 [] {-} u_13|p_5| -q_6| -q_7.
% 0.84/1.02  49 [copy,48,propositional] {+} -q_6| -q_7|p_5|u_13.
% 0.84/1.02  50 [] {-} p_5| -u_13.
% 0.84/1.02  51 [copy,50,propositional] {+} -u_13|p_5.
% 0.84/1.02  56 [] {-} u_15|p_6| -q_7| -q_8.
% 0.84/1.02  57 [copy,56,propositional] {+} -q_7| -q_8|p_6|u_15.
% 0.84/1.02  58 [] {-} p_6| -u_15.
% 0.84/1.02  59 [copy,58,propositional] {+} -u_15|p_6.
% 0.84/1.02  60 [] {-} u_16|p_7| -p_8| -p_9.
% 0.84/1.02  61 [copy,60,propositional] {+} -p_8| -p_9|p_7|u_16.
% 0.84/1.02  62 [] {-} p_7| -u_16.
% 0.84/1.02  63 [copy,62,propositional] {+} -u_16|p_7.
% 0.84/1.02  72 [] {-} u_19|q_0| -q_1| -p_2.
% 0.84/1.02  73 [copy,72,propositional] {+} -p_2| -q_1|q_0|u_19.
% 0.84/1.02  74 [] {-} q_0| -u_19.
% 0.84/1.02  75 [copy,74,propositional] {+} -u_19|q_0.
% 0.84/1.02  80 [] {-} u_21|q_1| -q_2| -p_3.
% 0.84/1.02  81 [copy,80,propositional] {+} -q_2| -p_3|q_1|u_21.
% 0.84/1.02  82 [] {-} q_1| -u_21.
% 0.84/1.02  83 [copy,82,propositional] {+} -u_21|q_1.
% 0.84/1.02  88 [] {-} u_23|q_2| -q_3| -p_4.
% 0.84/1.02  89 [copy,88,propositional] {+} -q_3| -p_4|q_2|u_23.
% 0.84/1.02  90 [] {-} q_2| -u_23.
% 0.84/1.02  91 [copy,90,propositional] {+} -u_23|q_2.
% 0.84/1.02  96 [] {-} u_25|q_3| -q_4| -p_5.
% 0.84/1.02  97 [copy,96,propositional] {+} -q_4| -p_5|q_3|u_25.
% 0.84/1.02  98 [] {-} q_3| -u_25.
% 0.84/1.02  99 [copy,98,propositional] {+} -u_25|q_3.
% 0.84/1.02  104 [] {-} u_27|q_4| -q_5| -p_6.
% 0.84/1.02  105 [copy,104,propositional] {+} -q_5| -p_6|q_4|u_27.
% 0.84/1.02  106 [] {-} q_4| -u_27.
% 0.84/1.02  107 [copy,106,propositional] {+} -u_27|q_4.
% 0.84/1.02  112 [] {-} u_29|q_5| -q_6| -p_7.
% 0.84/1.02  113 [copy,112,propositional] {+} -q_6| -p_7|q_5|u_29.
% 0.84/1.02  114 [] {-} q_5| -u_29.
% 0.84/1.02  115 [copy,114,propositional] {+} -u_29|q_5.
% 0.84/1.02  120 [] {-} u_31|q_6| -q_7| -p_8.
% 0.84/1.02  121 [copy,120,propositional] {+} -q_7| -p_8|q_6|u_31.
% 0.84/1.02  122 [] {-} q_6| -u_31.
% 0.84/1.02  123 [copy,122,propositional] {+} -u_31|q_6.
% 0.84/1.02  128 [] {-} u_33|q_7| -q_8| -p_9.
% 0.84/1.02  129 [copy,128,propositional] {+} -q_8| -p_9|q_7|u_33.
% 0.84/1.02  130 [] {-} q_7| -u_33.
% 0.84/1.02  131 [copy,130,propositional] {+} -u_33|q_7.
% 0.84/1.02  148 [] {-} p_8| -u_38.
% 0.84/1.02  149 [copy,148,propositional] {+} -u_38|p_8.
% 0.84/1.02  150 [] {-} p_9| -u_39.
% 0.84/1.02  151 [copy,150,propositional] {+} -u_39|p_9.
% 0.84/1.02  152 [] {-} q_8| -u_40.
% 0.84/1.02  153 [copy,152,propositional] {+} -u_40|q_8.
% 0.84/1.02  156 [] {-} u_38|p_8.
% 0.84/1.02  157 [copy,156,propositional] {+} p_8|u_38.
% 0.84/1.02  158 [] {-} u_39|p_9.
% 0.84/1.02  159 [copy,158,propositional] {+} p_9|u_39.
% 0.84/1.02  160 [] {-} u_40|q_8.
% 0.84/1.02  161 [copy,160,propositional] {+} q_8|u_40.
% 0.84/1.02  164 [hyper,157,149] {+} p_8.
% 0.84/1.02  165 [hyper,159,151] {+} p_9.
% 0.84/1.02  166 [hyper,161,153] {+} q_8.
% 0.84/1.02  167 [hyper,166,129,165] {+} q_7|u_33.
% 0.84/1.02  169 [hyper,164,61,165] {+} p_7|u_16.
% 0.84/1.02  172 [hyper,167,131] {+} q_7.
% 0.84/1.02  173 [hyper,172,121,164] {+} q_6|u_31.
% 0.84/1.02  174 [hyper,172,57,166] {+} p_6|u_15.
% 0.84/1.02  175 [hyper,169,63] {+} p_7.
% 0.84/1.02  176 [hyper,173,123] {+} q_6.
% 0.84/1.02  178 [hyper,176,113,175] {+} q_5|u_29.
% 0.84/1.02  179 [hyper,176,49,172] {+} p_5|u_13.
% 0.84/1.02  180 [hyper,174,59] {+} p_6.
% 0.84/1.02  181 [hyper,178,115] {+} q_5.
% 0.84/1.02  184 [hyper,181,105,180] {+} q_4|u_27.
% 0.84/1.02  185 [hyper,181,41,176] {+} p_4|u_11.
% 0.84/1.02  186 [hyper,179,51] {+} p_5.
% 0.84/1.02  187 [hyper,184,107] {+} q_4.
% 0.84/1.02  191 [hyper,187,97,186] {+} q_3|u_25.
% 0.84/1.02  192 [hyper,187,33,181] {+} p_3|u_9.
% 0.84/1.02  193 [hyper,185,43] {+} p_4.
% 0.84/1.02  195 [hyper,191,99] {+} q_3.
% 0.84/1.02  197 [hyper,195,89,193] {+} q_2|u_23.
% 0.84/1.02  198 [hyper,195,25,187] {+} p_2|u_7.
% 0.84/1.02  199 [hyper,192,35] {+} p_3.
% 0.84/1.02  200 [hyper,197,91] {+} q_2.
% 0.84/1.02  202 [hyper,200,81,199] {+} q_1|u_21.
% 0.84/1.02  204 [hyper,198,27] {+} p_2.
% 0.84/1.02  205 [hyper,202,83] {+} q_1.
% 0.84/1.02  207 [hyper,205,73,204] {+} q_0|u_19.
% 0.84/1.02  208 [hyper,205,9,200] {+} p_0|u_3.
% 0.84/1.02  210 [hyper,208,11] {+} p_0.
% 0.84/1.02  211 [hyper,207,75] {+} q_0.
% 0.84/1.02  212 [hyper,211,2,210] {-} u_1.
% 0.84/1.02  213 [binary,212.1,3.1] {-} $F.
% 0.84/1.02  
% 0.84/1.02  % SZS output end Refutation
% 0.84/1.02  ------------ end of proof -------------
% 0.84/1.02  
% 0.84/1.02  
% 0.84/1.02  Search stopped by max_proofs option.
% 0.84/1.02  
% 0.84/1.02  
% 0.84/1.02  Search stopped by max_proofs option.
% 0.84/1.02  
% 0.84/1.02  ============ end of search ============
% 0.84/1.02  
% 0.84/1.02  ----------- soft-scott stats ----------
% 0.84/1.02  
% 0.84/1.02  true clauses given           5      (11.6%)
% 0.84/1.02  false clauses given         38
% 0.84/1.02  
% 0.84/1.02        FALSE     TRUE
% 0.84/1.02     1  0         1
% 0.84/1.02  tot:  0         1      (100.0% true)
% 0.84/1.02  
% 0.84/1.02  
% 0.84/1.02  Model 39 [ 18 0 127 ] (0.00 seconds, 5971 Inserts)
% 0.84/1.02  
% 0.84/1.02  That finishes the proof of the theorem.
% 0.84/1.02  
% 0.84/1.02  Process 7168 finished Mon Jul 11 12:27:58 2022
%------------------------------------------------------------------------------