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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 : Sun Jul 17 14:32:00 EDT 2022

% Result   : Theorem 1.44s 1.69s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n007.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 : Mon Jul  4 02:17:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n007.cluster.edu,
% 0.12/0.36  Mon Jul  4 02:17:41 2022
% 0.12/0.36  The command was "./sos".  The process ID is 7932.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.12/0.36  
% 0.12/0.36  This is a non-Horn set without equality.  The strategy
% 0.12/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36    Following clause subsumed by 2 during input processing: 0 [] {-} -r1($c1,A)| -r1(A,B)| -p5(B)| -p104(B)|p5(A)| -p104(A).
% 0.12/0.37  
% 0.12/0.37  ------------> process sos:
% 0.12/0.37  
% 0.12/0.37  ======= end of input processing =======
% 0.12/0.41  
% 0.12/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.41  
% 0.12/0.41  Stopped by limit on number of solutions
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  -------------- Softie stats --------------
% 0.12/0.41  
% 0.12/0.41  UPDATE_STOP: 300
% 0.12/0.41  SFINDER_TIME_LIMIT: 2
% 0.12/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.41  number of clauses in intial UL: 115
% 0.12/0.41  number of clauses initially in problem: 117
% 0.12/0.41  percentage of clauses intially in UL: 98
% 0.12/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.41  percent of all initial clauses that are short: 100
% 0.12/0.41  absolute distinct symbol count: 45
% 0.12/0.41     distinct predicate count: 24
% 0.12/0.41     distinct function count: 20
% 0.12/0.41     distinct constant count: 1
% 0.12/0.41  
% 0.12/0.41  ---------- no more Softie stats ----------
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.41  
% 0.12/0.41  Stopped by limit on number of solutions
% 0.12/0.41  
% 0.12/0.41  =========== start of search ===========
% 1.44/1.69  
% 1.44/1.69  -------- PROOF -------- 
% 1.44/1.69  % SZS status Theorem
% 1.44/1.69  % SZS output start Refutation
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 3 [ 1 2 12917 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 4 [ 1 1 3109 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 5 [ 1 1 671 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 6 [ 1 0 546 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 7 [ 1 0 3496 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 8 [ 1 1 610 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 9 [ 1 1 477 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 10 [ 3 0 453 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 11 [ 1 0 609 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 12 [ 1 0 621 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  Stopped by limit on insertions
% 1.44/1.69  
% 1.44/1.69  Model 13 [ 1 0 404 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  ----> UNIT CONFLICT at   1.31 sec ----> 1213 [binary,1212.1,115.1] {-} $F.
% 1.44/1.69  
% 1.44/1.69  Length of proof is 23.  Level of proof is 18.
% 1.44/1.69  
% 1.44/1.69  ---------------- PROOF ----------------
% 1.44/1.69  % SZS status Theorem
% 1.44/1.69  % SZS output start Refutation
% 1.44/1.69  
% 1.44/1.69  1 [] {+} -r1(A,B)| -r1(B,C)|r1(A,C).
% 1.44/1.69  2 [] {+} -r1($c1,A)|p5(A).
% 1.44/1.69  51 [] {+} -r1($c1,A)|r1(A,$f13(A))|p104(A)| -p103(A).
% 1.44/1.69  52 [] {+} -r1($c1,A)| -p5($f13(A))|p104(A)| -p103(A).
% 1.44/1.69  63 [] {+} -r1($c1,A)|r1(A,$f16(A))|p103(A)| -p102(A).
% 1.44/1.69  65 [] {+} -r1($c1,A)| -p104($f16(A))|p103(A)| -p102(A).
% 1.44/1.69  66 [] {+} -r1($c1,A)|p103($f16(A))|p103(A)| -p102(A).
% 1.44/1.69  71 [] {+} -r1($c1,A)|r1(A,$f18(A))|p102(A)| -p101(A).
% 1.44/1.69  73 [] {+} -r1($c1,A)| -p103($f18(A))|p102(A)| -p101(A).
% 1.44/1.69  74 [] {+} -r1($c1,A)|p102($f18(A))|p102(A)| -p101(A).
% 1.44/1.69  79 [] {+} -r1($c1,A)|r1(A,$f20(A))|p101(A)| -p100(A).
% 1.44/1.69  81 [] {+} -r1($c1,A)| -p102($f20(A))|p101(A)| -p100(A).
% 1.44/1.69  82 [] {+} -r1($c1,A)|p101($f20(A))|p101(A)| -p100(A).
% 1.44/1.69  115 [] {+} -p101($c1).
% 1.44/1.69  116 [] {+} r1(A,A).
% 1.44/1.69  117 [] {+} p100($c1).
% 1.44/1.69  119 [hyper,117,82,116,unit_del,115] {+} p101($f20($c1)).
% 1.44/1.69  121 [hyper,117,79,116,unit_del,115] {+} r1($c1,$f20($c1)).
% 1.44/1.69  125 [hyper,121,74,119] {+} p102($f18($f20($c1)))|p102($f20($c1)).
% 1.44/1.69  127 [hyper,121,71,119] {+} r1($f20($c1),$f18($f20($c1)))|p102($f20($c1)).
% 1.44/1.69  138 [hyper,125,81,116,117,unit_del,115] {+} p102($f18($f20($c1))).
% 1.44/1.69  139 [hyper,127,81,116,117,unit_del,115] {+} r1($f20($c1),$f18($f20($c1))).
% 1.44/1.69  140 [hyper,139,1,121] {+} r1($c1,$f18($f20($c1))).
% 1.44/1.69  142 [hyper,140,66,138] {-} p103($f16($f18($f20($c1))))|p103($f18($f20($c1))).
% 1.44/1.69  144 [hyper,140,63,138] {+} r1($f18($f20($c1)),$f16($f18($f20($c1))))|p103($f18($f20($c1))).
% 1.44/1.69  154 [hyper,142,73,121,119] {+} p103($f16($f18($f20($c1))))|p102($f20($c1)).
% 1.44/1.69  183 [hyper,144,73,121,119] {+} r1($f18($f20($c1)),$f16($f18($f20($c1))))|p102($f20($c1)).
% 1.44/1.69  269 [hyper,183,81,116,117,unit_del,115] {+} r1($f18($f20($c1)),$f16($f18($f20($c1)))).
% 1.44/1.69  270 [hyper,269,1,140] {+} r1($c1,$f16($f18($f20($c1)))).
% 1.44/1.69  283 [hyper,270,51,142] {+} r1($f16($f18($f20($c1))),$f13($f16($f18($f20($c1)))))|p104($f16($f18($f20($c1))))|p103($f18($f20($c1))).
% 1.44/1.69  1059 [hyper,283,65,140,138,factor_simp] {+} r1($f16($f18($f20($c1))),$f13($f16($f18($f20($c1)))))|p103($f18($f20($c1))).
% 1.44/1.69  1144 [hyper,1059,73,121,119] {+} r1($f16($f18($f20($c1))),$f13($f16($f18($f20($c1)))))|p102($f20($c1)).
% 1.44/1.69  1177 [hyper,1144,81,116,117,unit_del,115] {-} r1($f16($f18($f20($c1))),$f13($f16($f18($f20($c1))))).
% 1.44/1.69  1179 [hyper,1177,1,270] {-} r1($c1,$f13($f16($f18($f20($c1))))).
% 1.44/1.69  1193 [hyper,1179,2] {+} p5($f13($f16($f18($f20($c1))))).
% 1.44/1.69  1203 [hyper,1193,52,270,154] {+} p104($f16($f18($f20($c1))))|p102($f20($c1)).
% 1.44/1.69  1205 [hyper,1203,65,140,138] {+} p102($f20($c1))|p103($f18($f20($c1))).
% 1.44/1.69  1211 [hyper,1205,73,121,119,factor_simp] {+} p102($f20($c1)).
% 1.44/1.69  1212 [hyper,1211,81,116,117] {-} p101($c1).
% 1.44/1.69  1213 [binary,1212.1,115.1] {-} $F.
% 1.44/1.69  
% 1.44/1.69  % SZS output end Refutation
% 1.44/1.69  ------------ end of proof -------------
% 1.44/1.69  
% 1.44/1.69  
% 1.44/1.69  Search stopped by max_proofs option.
% 1.44/1.69  
% 1.44/1.69  
% 1.44/1.69  Search stopped by max_proofs option.
% 1.44/1.69  
% 1.44/1.69  ============ end of search ============
% 1.44/1.69  
% 1.44/1.69  ----------- soft-scott stats ----------
% 1.44/1.69  
% 1.44/1.69  true clauses given         333      (86.0%)
% 1.44/1.69  false clauses given         54
% 1.44/1.69  
% 1.44/1.69        FALSE     TRUE
% 1.44/1.69     9  0         1
% 1.44/1.69    10  0         1
% 1.44/1.69    11  0         2
% 1.44/1.69    15  0         7
% 1.44/1.69    17  0         48
% 1.44/1.69    18  0         12
% 1.44/1.69    19  0         56
% 1.44/1.69    20  0         26
% 1.44/1.69    21  0         64
% 1.44/1.69    22  0         74
% 1.44/1.69    24  0         23
% 1.44/1.69    25  0         56
% 1.44/1.69    27  0         35
% 1.44/1.69    29  0         9
% 1.44/1.69    30  0         26
% 1.44/1.69    32  0         26
% 1.44/1.69    33  0         8
% 1.44/1.69    34  0         12
% 1.44/1.69    35  0         14
% 1.44/1.69    38  0         4
% 1.44/1.69    39  0         8
% 1.44/1.69  tot:  0         512      (100.0% true)
% 1.44/1.69  
% 1.44/1.69  
% 1.44/1.69  Model 13 [ 1 0 404 ] (0.00 seconds, 250000 Inserts)
% 1.44/1.69  
% 1.44/1.69  That finishes the proof of the theorem.
% 1.44/1.69  
% 1.44/1.69  Process 7932 finished Mon Jul  4 02:17:43 2022
%------------------------------------------------------------------------------