TSTP Solution File: SYN726+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n027.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  : 300s
% DateTime : Thu Sep 29 22:24:29 EDT 2022

% Result   : Theorem 187.41s 36.22s
% Output   : Proof 187.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.12/0.33  % Computer : n027.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    : 300
% 0.12/0.33  % DateTime   : Mon Sep  5 07:02:37 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  [DMT] DMT loaded with preskolemization
% 0.12/0.33  [EQ] equality loaded.
% 0.12/0.33  [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33  Start search
% 0.12/0.33  nb_step : 1 - limit : 6
% 0.12/0.33  Launch Gotab with destructive = true
% 12.56/4.39  nb_step : 2 - limit : 12
% 12.56/4.39  Launch Gotab with destructive = true
% 187.41/36.21  % SZS output start Proof for theBenchmark.p
% 187.41/36.22  [1828] ALPHA_NOT_OR : ~(((((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))) & ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))) => ! [X13_13, Y14_14] :  (p(X13_13, Y14_14))) | ! [X15_15, Y16_16] :  (q(X15_15, Y16_16)))
% 187.41/36.22  	-> [1829] ~((((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))) & ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))) => ! [X13_13, Y14_14] :  (p(X13_13, Y14_14))), ~! [X15_15, Y16_16] :  (q(X15_15, Y16_16))
% 187.41/36.22  
% 187.41/36.22  [1829] ALPHA_NOT_IMPLY : ~((((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))) & ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))) => ! [X13_13, Y14_14] :  (p(X13_13, Y14_14)))
% 187.41/36.22  	-> [1830] (((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))) & ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))), ~! [X13_13, Y14_14] :  (p(X13_13, Y14_14))
% 187.41/36.22  
% 187.41/36.22  [1830] ALPHA_AND : (((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))) & ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12))))
% 187.41/36.22  	-> [1831] ((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))), ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [1831] ALPHA_AND : ((! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))) & ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9))))
% 187.41/36.22  	-> [1832] (! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))), ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [1832] ALPHA_AND : (! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))) & ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8))))
% 187.41/36.22  	-> [1833] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5))), ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [1833] DELTA_NOT_FORALL : ~! [X15_15, Y16_16] :  (q(X15_15, Y16_16))
% 187.41/36.22  	-> [1834] ~q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [1834] DELTA_NOT_FORALL : ~! [X13_13, Y14_14] :  (p(X13_13, Y14_14))
% 187.41/36.22  	-> [1835] ~p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1835] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [1836] (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [1836] BETA_OR : (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [1837] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [1838] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1837] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1838] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [1839] (q(skolem_X1313, skolem_Y1414) => q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  
% 187.41/36.22  [1839] BETA_IMPLY : (q(skolem_X1313, skolem_Y1414) => q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [1840] ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [1841] q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [1840] CLOSURE : ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1841] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [1842] ((p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [1842] BETA_IMPLY : ((p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [1843] ~(p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [1844] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1844] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [1843] BETA_NOT_AND : ~(p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [5329] ~p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [5330] ~p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5329] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [5331] ((q(skolem_X1515, skolem_X1313) & q(skolem_X1313, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [5331] BETA_IMPLY : ((q(skolem_X1515, skolem_X1313) & q(skolem_X1313, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [5333] ~(q(skolem_X1515, skolem_X1313) & q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [5334] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [5334] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [5333] BETA_NOT_AND : ~(q(skolem_X1515, skolem_X1313) & q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [5343] ~q(skolem_X1515, skolem_X1313)
% 187.41/36.22  	-> [5344] ~q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [5344]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [5348] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [5348] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [5352] (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [5352] BETA_OR : (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [5359] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [5360] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5359] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5360]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [5368] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [5368] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [5374] (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [5374] BETA_IMPLY : (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [5375] ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  	-> [5376] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5375] CLOSURE : ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [5376]  : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [5384] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  
% 187.41/36.22  [5384] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [5390] ((p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [5390] BETA_IMPLY : ((p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [5395] ~(p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [5396] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5396] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [5395] BETA_NOT_AND : ~(p(skolem_X1313, skolem_Y1616) & p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [8445] ~p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [8446] ~p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [8446]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [8453] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [8453] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [8454] ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [8454] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [8455] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [8456] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [8456] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [8455] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [8565] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [8566] ~q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [8566]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [8574] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [8574] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [8576] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [8576] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [8579] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [8580] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [8579] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [8580]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [12141] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [12141] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [12144] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [12144] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [12145] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [12146] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12145] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [12146] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [8588] BETA_OR : (p(skolem_X1313, skolem_Y1616) | q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [12755] p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [12756] q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12755] CLOSURE : p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12756] CLOSURE : q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [8458] BETA_IMPLY : ((q(skolem_X1313, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [12801] ~(q(skolem_X1313, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [12802] q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12802] CLOSURE : q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12801] BETA_NOT_AND : ~(q(skolem_X1313, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [12835] ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [12836] ~q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12835] CLOSURE : ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [12836]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [12837] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [12837] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [12838] (p(skolem_X1313, skolem_Y1616) | q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [12838] BETA_OR : (p(skolem_X1313, skolem_Y1616) | q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [12839] p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [12840] q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12840] CLOSURE : q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [12839] CLOSURE : p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [5351] BETA_OR : (p(skolem_X1313, skolem_Y1616) | q(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [17833] p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [17834] q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [17833] CLOSURE : p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [17834]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [17843] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [17843] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [17844] (q(skolem_X1313, skolem_X1515) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  
% 187.41/36.22  [17844] BETA_IMPLY : (q(skolem_X1313, skolem_X1515) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  	-> [17845] ~q(skolem_X1313, skolem_X1515)
% 187.41/36.22  	-> [17846] q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [17846] CLOSURE : q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [17845]  : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [17861] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  
% 187.41/36.22  [17861] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [17862] ((p(skolem_X1313, skolem_X1515) & p(skolem_X1515, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [17862] BETA_IMPLY : ((p(skolem_X1313, skolem_X1515) & p(skolem_X1515, skolem_Y1414)) => p(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [17863] ~(p(skolem_X1313, skolem_X1515) & p(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [17864] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [17864] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [17863] BETA_NOT_AND : ~(p(skolem_X1313, skolem_X1515) & p(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [19627] ~p(skolem_X1313, skolem_X1515)
% 187.41/36.22  	-> [19628] ~p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [19627]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [19635] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [19635] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [19637] ((q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515)) => q(skolem_X1313, skolem_X1515))
% 187.41/36.22  
% 187.41/36.22  [19637] BETA_IMPLY : ((q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515)) => q(skolem_X1313, skolem_X1515))
% 187.41/36.22  	-> [19639] ~(q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  	-> [19640] q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19640] CLOSURE : q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19639] BETA_NOT_AND : ~(q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  	-> [19651] ~q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [19652] ~q(skolem_Y1616, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19651] CLOSURE : ~q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [19662] BETA_OR : (p(skolem_X1313, skolem_X1515) | q(skolem_X1313, skolem_X1515))
% 187.41/36.22  	-> [19669] p(skolem_X1313, skolem_X1515)
% 187.41/36.22  	-> [19670] q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19670] CLOSURE : q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19669] CLOSURE : p(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19628]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [19636] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [19636] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [19638] ((q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515)) => q(skolem_X1313, skolem_X1515))
% 187.41/36.22  
% 187.41/36.22  [19638] BETA_IMPLY : ((q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515)) => q(skolem_X1313, skolem_X1515))
% 187.41/36.22  	-> [19643] ~(q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  	-> [19644] q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19644] CLOSURE : q(skolem_X1313, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19643] BETA_NOT_AND : ~(q(skolem_X1313, skolem_Y1616) & q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  	-> [19649] ~q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  	-> [19650] ~q(skolem_Y1616, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [19650]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [19655] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [19655] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [19658] (p(skolem_X1515, skolem_Y1414) | q(skolem_X1515, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [19658] BETA_OR : (p(skolem_X1515, skolem_Y1414) | q(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [19660] p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [19661] q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [19660] CLOSURE : p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [19661]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21809] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [21809] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21810] (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [21810] BETA_IMPLY : (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [21811] ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  	-> [21812] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21811] CLOSURE : ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21812]  : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21813] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  
% 187.41/36.22  [21813] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21814] ((p(skolem_X1313, Y4_579_2) & p(Y4_579_2, skolem_Y1616)) => p(skolem_X1313, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [21814] BETA_IMPLY : ((p(skolem_X1313, Y4_579_2) & p(Y4_579_2, skolem_Y1616)) => p(skolem_X1313, skolem_Y1616))
% 187.41/36.22  	-> [21815] ~(p(skolem_X1313, Y4_579_2) & p(Y4_579_2, skolem_Y1616))
% 187.41/36.22  	-> [21816] p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21816] CLOSURE : p(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21815] BETA_NOT_AND : ~(p(skolem_X1313, Y4_579_2) & p(Y4_579_2, skolem_Y1616))
% 187.41/36.22  	-> [21839] ~p(skolem_X1313, Y4_579_2)
% 187.41/36.22  	-> [21840] ~p(Y4_579_2, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21840]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [21842] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [21842] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [21844] ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313)) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  
% 187.41/36.22  [21844] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313)) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  	-> [21847] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [21848] q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21848] CLOSURE : q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21847] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [21859] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [21860] ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21860] CLOSURE : ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21859] CLOSURE : ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21839]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [21841] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [21841] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [21843] ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313)) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  
% 187.41/36.22  [21843] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313)) => q(skolem_X1515, skolem_X1313))
% 187.41/36.22  	-> [21845] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [21846] q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21846] CLOSURE : q(skolem_X1515, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21845] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [21863] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [21864] ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21864] CLOSURE : ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21863] CLOSURE : ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [19649] CLOSURE : ~q(skolem_X1313, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [5332] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [21865] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [21866] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21866] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21865] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [21869] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [21870] ~q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21870]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [21872] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [21872] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [21874] (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [21874] BETA_OR : (p(skolem_X1313, skolem_Y1414) | q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [21877] p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [21878] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21877] CLOSURE : p(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21878]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21880] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [21880] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21882] (q(skolem_X1313, skolem_Y1414) => q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  
% 187.41/36.22  [21882] BETA_IMPLY : (q(skolem_X1313, skolem_Y1414) => q(skolem_Y1414, skolem_X1313))
% 187.41/36.22  	-> [21885] ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  	-> [21886] q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21885] CLOSURE : ~q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21886]  : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21887] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  
% 187.41/36.22  [21887] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21888] ((p(skolem_Y1616, Y4_580_2) & p(Y4_580_2, skolem_Y1414)) => p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [21888] BETA_IMPLY : ((p(skolem_Y1616, Y4_580_2) & p(Y4_580_2, skolem_Y1414)) => p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [21890] ~(p(skolem_Y1616, Y4_580_2) & p(Y4_580_2, skolem_Y1414))
% 187.41/36.22  	-> [21891] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21891] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21890] BETA_NOT_AND : ~(p(skolem_Y1616, Y4_580_2) & p(Y4_580_2, skolem_Y1414))
% 187.41/36.22  	-> [22849] ~p(skolem_Y1616, Y4_580_2)
% 187.41/36.22  	-> [22850] ~p(Y4_580_2, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22850]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [22851] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [22851] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [22853] ((q(skolem_X1515, Y7_1270_3) & q(Y7_1270_3, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [22853] BETA_IMPLY : ((q(skolem_X1515, Y7_1270_3) & q(Y7_1270_3, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [22855] ~(q(skolem_X1515, Y7_1270_3) & q(Y7_1270_3, skolem_Y1616))
% 187.41/36.22  	-> [22856] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22856] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22855] BETA_NOT_AND : ~(q(skolem_X1515, Y7_1270_3) & q(Y7_1270_3, skolem_Y1616))
% 187.41/36.22  	-> [22867] ~q(skolem_X1515, Y7_1270_3)
% 187.41/36.22  	-> [22868] ~q(Y7_1270_3, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22868]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22872] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [22872] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22876] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [22876] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [22881] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [22882] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22881] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22882]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24437] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [24437] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24439] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [24439] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [24440] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [24441] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [24440] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [24441] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22867]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22871] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [22871] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22875] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [22875] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [22879] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [22880] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22879] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22880]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24427] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [24427] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24428] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [24428] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [24429] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [24430] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [24429] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [24430] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22849]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [22852] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [22852] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [22854] ((q(skolem_X1515, Y7_1271_3) & q(Y7_1271_3, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [22854] BETA_IMPLY : ((q(skolem_X1515, Y7_1271_3) & q(Y7_1271_3, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [22857] ~(q(skolem_X1515, Y7_1271_3) & q(Y7_1271_3, skolem_Y1616))
% 187.41/36.22  	-> [22858] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22858] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22857] BETA_NOT_AND : ~(q(skolem_X1515, Y7_1271_3) & q(Y7_1271_3, skolem_Y1616))
% 187.41/36.22  	-> [22869] ~q(skolem_X1515, Y7_1271_3)
% 187.41/36.22  	-> [22870] ~q(Y7_1271_3, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22870]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22874] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [22874] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22878] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [22878] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [22885] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [22886] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22885] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22886]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24421] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [24421] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [24422] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [24422] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [24423] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [24424] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [24423] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [24424] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [22869]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22873] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [22873] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [22877] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [22877] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [22883] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [22884] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22883] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [22884]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [25345] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [25345] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [25346] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [25346] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25347] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [25348] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25347] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25348] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21869]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [21871] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [21871] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [21873] (p(skolem_X1515, skolem_Y1616) | q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [21873] BETA_OR : (p(skolem_X1515, skolem_Y1616) | q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [21875] p(skolem_X1515, skolem_Y1616)
% 187.41/36.22  	-> [21876] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21876] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [21875]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21879] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [21879] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [21881] (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [21881] BETA_IMPLY : (q(skolem_Y1414, skolem_X1313) => q(skolem_X1313, skolem_Y1414))
% 187.41/36.22  	-> [21883] ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  	-> [21884] q(skolem_X1313, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21883] CLOSURE : ~q(skolem_Y1414, skolem_X1313)
% 187.41/36.22  
% 187.41/36.22  [21884]  : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21889] ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  
% 187.41/36.22  [21889] GAMMA_FORALL : ! [X3_3, Y4_4, Z5_5] :  (((p(X3_3, Y4_4) & p(Y4_4, Z5_5)) => p(X3_3, Z5_5)))
% 187.41/36.22  	-> [21892] ((p(skolem_Y1616, skolem_X1515) & p(skolem_X1515, skolem_Y1414)) => p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [21892] BETA_IMPLY : ((p(skolem_Y1616, skolem_X1515) & p(skolem_X1515, skolem_Y1414)) => p(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [21893] ~(p(skolem_Y1616, skolem_X1515) & p(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [21894] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21894] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [21893] BETA_NOT_AND : ~(p(skolem_Y1616, skolem_X1515) & p(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [25593] ~p(skolem_Y1616, skolem_X1515)
% 187.41/36.22  	-> [25594] ~p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25594]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [25596] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [25596] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [25598] ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [25598] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [25601] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25602] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25602] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25601] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25609] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [25610] ~q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25610]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [25613] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [25613] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [25618] (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  
% 187.41/36.22  [25618] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [25625] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [25626] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25625] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25626]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [25639] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [25639] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [25640] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [25640] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25641] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [25642] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25641] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25642] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25617] BETA_OR : (p(skolem_X1515, skolem_Y1414) | q(skolem_X1515, skolem_Y1414))
% 187.41/36.22  	-> [27111] p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [27112] q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [27112] CLOSURE : q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [27111] CLOSURE : p(skolem_X1515, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [25593]  : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [25595] ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  
% 187.41/36.22  [25595] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (((q(X6_6, Y7_7) & q(Y7_7, Z8_8)) => q(X6_6, Z8_8)))
% 187.41/36.22  	-> [25597] ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [25597] BETA_IMPLY : ((q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616)) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [25599] ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25600] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25600] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25599] BETA_NOT_AND : ~(q(skolem_X1515, skolem_Y1414) & q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [25607] ~q(skolem_X1515, skolem_Y1414)
% 187.41/36.22  	-> [25608] ~q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [25607]  : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [25611] ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  
% 187.41/36.22  [25611] GAMMA_FORALL : ! [X11_11, Y12_12] :  ((p(X11_11, Y12_12) | q(X11_11, Y12_12)))
% 187.41/36.22  	-> [25615] (p(skolem_Y1616, skolem_X1515) | q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  
% 187.41/36.22  [25615] BETA_OR : (p(skolem_Y1616, skolem_X1515) | q(skolem_Y1616, skolem_X1515))
% 187.41/36.22  	-> [25619] p(skolem_Y1616, skolem_X1515)
% 187.41/36.22  	-> [25620] q(skolem_Y1616, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [25619] CLOSURE : p(skolem_Y1616, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [25620]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [27719] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [27719] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [27720] (q(skolem_Y1616, skolem_X1515) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [27720] BETA_IMPLY : (q(skolem_Y1616, skolem_X1515) => q(skolem_X1515, skolem_Y1616))
% 187.41/36.22  	-> [27721] ~q(skolem_Y1616, skolem_X1515)
% 187.41/36.22  	-> [27722] q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [27722] CLOSURE : q(skolem_X1515, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [27721] CLOSURE : ~q(skolem_Y1616, skolem_X1515)
% 187.41/36.22  
% 187.41/36.22  [25616] BETA_OR : (p(skolem_Y1616, skolem_Y1414) | q(skolem_Y1616, skolem_Y1414))
% 187.41/36.22  	-> [27783] p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [27784] q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [27783] CLOSURE : p(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [27784]  : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [27785] ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  
% 187.41/36.22  [27785] GAMMA_FORALL : ! [X9_9, Y10_10] :  ((q(X9_9, Y10_10) => q(Y10_10, X9_9)))
% 187.41/36.22  	-> [27786] (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  
% 187.41/36.22  [27786] BETA_IMPLY : (q(skolem_Y1616, skolem_Y1414) => q(skolem_Y1414, skolem_Y1616))
% 187.41/36.22  	-> [27787] ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  	-> [27788] q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  [27787] CLOSURE : ~q(skolem_Y1616, skolem_Y1414)
% 187.41/36.22  
% 187.41/36.22  [27788] CLOSURE : q(skolem_Y1414, skolem_Y1616)
% 187.41/36.22  
% 187.41/36.22  % SZS output end Proof for theBenchmark.p
% 187.41/36.22  [35.886158s][1][Res] 472480 goroutines created
% 187.41/36.22  ==== Result ====
% 187.41/36.22  [35.886194s][1][Res] VALID
% 187.41/36.22  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------