TSTP Solution File: SYN036+2 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 22:22:05 EDT 2022
% Result : Theorem 0.16s 0.57s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Sep 5 01:19:01 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.32 [DMT] DMT loaded with preskolemization
% 0.16/0.32 [EQ] equality loaded.
% 0.16/0.32 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.16/0.32 Start search
% 0.16/0.32 nb_step : 1 - limit : 8
% 0.16/0.32 Launch Gotab with destructive = true
% 0.16/0.56 % SZS output start Proof for theBenchmark.p
% 0.16/0.57 [0] BETA_NOT_EQUIV : ~((? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))) <=> (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))))
% 0.16/0.57 -> [1] ~(? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))), (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57 -> [2] (? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))), ~(? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57
% 0.16/0.57 [1] BETA_NOT_EQUIV : ~(? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11))))
% 0.16/0.57 -> [5] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [6] ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57
% 0.16/0.57 [6] DELTA_EXISTS : ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [8] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [8] BETA_EQUIV : (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57 -> [13] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [14] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57
% 0.16/0.57 [14] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [41] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [41] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [46] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [47] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [47] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [63] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [63] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [66] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [66] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [68] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [69] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [69] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [127] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [127] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [166] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [166] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [167] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [168] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [168] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [167] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [320] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [320] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [321] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [322] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [321] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [322] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [333] big_q(W115_2_2)
% 0.16/0.57
% 0.16/0.57 [333] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [343] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [343] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [344] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [344] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [345] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [346] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [346] CLOSURE : big_p(skolem_X88)
% 0.16/0.57
% 0.16/0.57 [345] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [68] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [95] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [95] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [106] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [106] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [109] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [110] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [110] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [109] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [136] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [136] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [138] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [139] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [138] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [139] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [359] ~big_p(U114_5_2)
% 0.16/0.57
% 0.16/0.57 [359] GAMMA_NOT_EXISTS : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [360] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [360] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [362] (big_p(skolem_X88) <=> big_p(Y9_15_0))
% 0.16/0.57
% 0.16/0.57 [362] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_15_0))
% 0.16/0.57 -> [363] ~big_p(skolem_X88), ~big_p(Y9_15_0)
% 0.16/0.57 -> [364] big_p(skolem_X88), big_p(Y9_15_0)
% 0.16/0.57
% 0.16/0.57 [364] CLOSURE : big_p(skolem_X88)
% 0.16/0.57
% 0.16/0.57 [363] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [371] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [371] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [372] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [372] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [373] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [374] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [373] CLOSURE : ~big_q(skolem_X11212)
% 0.16/0.57
% 0.16/0.57 [374] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [46] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [235] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [236] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [236] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [237] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [237] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [238] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [238] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [239] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [240] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [239] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [240] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [242] (big_q(skolem_X11212) <=> big_q(Y113_8_1))
% 0.16/0.57
% 0.16/0.57 [242] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_8_1))
% 0.16/0.57 -> [244] ~big_q(skolem_X11212), ~big_q(Y113_8_1)
% 0.16/0.57 -> [245] big_q(skolem_X11212), big_q(Y113_8_1)
% 0.16/0.57
% 0.16/0.57 [244] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [270] ~big_q(U10_8_2)
% 0.16/0.57
% 0.16/0.57 [270] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [271] big_p(W11_4_3)
% 0.16/0.57
% 0.16/0.57 [271] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [272] big_q(W115_0_4)
% 0.16/0.57
% 0.16/0.57 [272] CLOSURE : big_q(W115_0_4)
% 0.16/0.57
% 0.16/0.57 [245] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [288] ~big_q(U10_10_2)
% 0.16/0.57
% 0.16/0.57 [288] CLOSURE : ~big_q(U10_10_2)
% 0.16/0.57
% 0.16/0.57 [235] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [258] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [258] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [259] (big_p(skolem_X88) <=> big_p(Y9_9_0))
% 0.16/0.57
% 0.16/0.57 [259] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_9_0))
% 0.16/0.57 -> [260] ~big_p(skolem_X88), ~big_p(Y9_9_0)
% 0.16/0.57 -> [261] big_p(skolem_X88), big_p(Y9_9_0)
% 0.16/0.57
% 0.16/0.57 [260] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [366] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [366] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [367] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [368] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [368] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [367] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [380] ~big_q(U10_21_2)
% 0.16/0.57
% 0.16/0.57 [380] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [383] big_p(W11_13_3)
% 0.16/0.57
% 0.16/0.57 [383] CLOSURE : big_p(W11_13_3)
% 0.16/0.57
% 0.16/0.57 [261] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [262] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [262] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [264] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [265] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [265] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [264] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [413] ~big_q(U10_23_2)
% 0.16/0.57
% 0.16/0.57 [413] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [414] big_p(W11_15_3)
% 0.16/0.57
% 0.16/0.57 [414] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [415] ~big_p(U114_8_4)
% 0.16/0.57
% 0.16/0.57 [415] CLOSURE : ~big_p(U114_8_4)
% 0.16/0.57
% 0.16/0.57 [13] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [96] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [97] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [97] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [111] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [111] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [117] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [117] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [118] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [119] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [118] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [298] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [298] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [299] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [300] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [300] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [299] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [306] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [306] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57 -> [307] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57
% 0.16/0.57 [307] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57 -> [308] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57 -> [309] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [308] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [309] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [318] ~big_p(U114_4_2)
% 0.16/0.57
% 0.16/0.57 [318] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [319] big_q(W115_1_3)
% 0.16/0.57
% 0.16/0.57 [319] CLOSURE : big_q(W115_1_3)
% 0.16/0.57
% 0.16/0.57 [119] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [135] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [135] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [296] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [296] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [310] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [310] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [311] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [312] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [312] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [311] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [347] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [347] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [348] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [348] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [349] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [350] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [350] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [349] : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [409] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [409] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [410] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [410] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [411] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [412] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [412] CLOSURE : big_p(skolem_X88)
% 0.16/0.57
% 0.16/0.57 [411] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [96] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [395] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [396] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [395] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [416] (big_p(skolem_X88) <=> big_p(Y9_18_0))
% 0.16/0.57
% 0.16/0.57 [416] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_18_0))
% 0.16/0.57 -> [417] ~big_p(skolem_X88), ~big_p(Y9_18_0)
% 0.16/0.57 -> [418] big_p(skolem_X88), big_p(Y9_18_0)
% 0.16/0.57
% 0.16/0.57 [417] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [435] ~! [Y113_13] : ((big_q(X112_19_1) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [435] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_19_1) <=> big_q(Y113_13)))
% 0.16/0.57 -> [436] ~(big_q(X112_19_1) <=> big_q(skolem_Y11313(X112_19_1)))
% 0.16/0.57
% 0.16/0.57 [436] BETA_NOT_EQUIV : ~(big_q(X112_19_1) <=> big_q(skolem_Y11313(X112_19_1)))
% 0.16/0.57 -> [437] ~big_q(X112_19_1), big_q(skolem_Y11313(X112_19_1))
% 0.16/0.57 -> [438] big_q(X112_19_1), ~big_q(skolem_Y11313(X112_19_1))
% 0.16/0.57
% 0.16/0.57 [438] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [448] ~big_q(U10_25_2)
% 0.16/0.57
% 0.16/0.57 [448] CLOSURE : ~big_q(U10_25_2)
% 0.16/0.57
% 0.16/0.57 [437] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [449] ~big_q(U10_26_2)
% 0.16/0.57
% 0.16/0.57 [449] CLOSURE : ~big_q(U10_26_2)
% 0.16/0.57
% 0.16/0.57 [418] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [419] ~! [Y113_13] : ((big_q(X112_17_1) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [419] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_17_1) <=> big_q(Y113_13)))
% 0.16/0.57 -> [420] ~(big_q(X112_17_1) <=> big_q(skolem_Y11313(X112_17_1)))
% 0.16/0.57
% 0.16/0.57 [420] BETA_NOT_EQUIV : ~(big_q(X112_17_1) <=> big_q(skolem_Y11313(X112_17_1)))
% 0.16/0.57 -> [421] ~big_q(X112_17_1), big_q(skolem_Y11313(X112_17_1))
% 0.16/0.57 -> [422] big_q(X112_17_1), ~big_q(skolem_Y11313(X112_17_1))
% 0.16/0.57
% 0.16/0.57 [422] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [450] ~big_q(U10_27_2)
% 0.16/0.57
% 0.16/0.57 [450] CLOSURE : ~big_q(U10_27_2)
% 0.16/0.57
% 0.16/0.57 [421] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [455] ~big_q(U10_28_2)
% 0.16/0.57
% 0.16/0.57 [455] CLOSURE : ~big_q(U10_28_2)
% 0.16/0.57
% 0.16/0.57 [396] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [397] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [397] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [398] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [398] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [399] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [399] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [400] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [401] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [400] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [401] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [405] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [405] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [406] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [406] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [407] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [408] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [408] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [407] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [456] ~big_q(U10_29_2)
% 0.16/0.57
% 0.16/0.57 [456] CLOSURE : ~big_q(U10_29_2)
% 0.16/0.57
% 0.16/0.57 [5] BETA_EQUIV : (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57 -> [15] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [16] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57
% 0.16/0.57 [16] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [27] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [27] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [31] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [32] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [32] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [52] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [52] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [58] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [59] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [59] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [75] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [75] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [277] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [277] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57 -> [280] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57
% 0.16/0.57 [280] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57 -> [281] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57 -> [282] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [281] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [282] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [289] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [289] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [290] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [291] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [290] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [291] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [297] big_p(W11_5_2)
% 0.16/0.57
% 0.16/0.57 [297] CLOSURE : big_p(W11_5_2)
% 0.16/0.57
% 0.16/0.57 [58] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [99] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [99] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [107] ~! [Y9_9] : ((big_p(X8_2_0) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [107] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_2_0) <=> big_p(Y9_9)))
% 0.16/0.57 -> [112] ~(big_p(X8_2_0) <=> big_p(skolem_Y99(X8_2_0)))
% 0.16/0.57
% 0.16/0.57 [112] BETA_NOT_EQUIV : ~(big_p(X8_2_0) <=> big_p(skolem_Y99(X8_2_0)))
% 0.16/0.57 -> [115] ~big_p(X8_2_0), big_p(skolem_Y99(X8_2_0))
% 0.16/0.57 -> [116] big_p(X8_2_0), ~big_p(skolem_Y99(X8_2_0))
% 0.16/0.57
% 0.16/0.57 [115] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [292] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [292] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [293] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [294] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [294] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [293] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [332] big_p(W11_9_2)
% 0.16/0.57
% 0.16/0.57 [332] CLOSURE : big_p(W11_9_2)
% 0.16/0.57
% 0.16/0.57 [116] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [303] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [303] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [304] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [305] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [305] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [304] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [352] big_p(W11_11_2)
% 0.16/0.57
% 0.16/0.57 [352] CLOSURE : big_p(W11_11_2)
% 0.16/0.57
% 0.16/0.57 [31] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [90] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [90] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [93] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [94] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [93] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [170] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [170] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [175] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [175] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [177] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [177] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [181] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [182] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [182] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [181] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [193] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [193] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [194] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [195] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [194] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [210] ~big_q(U10_3_2)
% 0.16/0.57
% 0.16/0.57 [210] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [211] ~big_p(U114_0_3)
% 0.16/0.57
% 0.16/0.57 [211] CLOSURE : ~big_p(U114_0_3)
% 0.16/0.57
% 0.16/0.57 [195] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [94] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [144] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [144] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [146] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [146] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [151] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [151] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [152] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [153] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [153] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [152] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [353] (big_q(skolem_X11212) <=> big_q(Y113_15_1))
% 0.16/0.57
% 0.16/0.57 [353] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_15_1))
% 0.16/0.57 -> [354] ~big_q(skolem_X11212), ~big_q(Y113_15_1)
% 0.16/0.57 -> [355] big_q(skolem_X11212), big_q(Y113_15_1)
% 0.16/0.57
% 0.16/0.57 [355] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [365] ~big_q(U10_18_2)
% 0.16/0.57
% 0.16/0.57 [365] CLOSURE : ~big_q(U10_18_2)
% 0.16/0.57
% 0.16/0.57 [354] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [357] ~big_q(U10_17_2)
% 0.16/0.57
% 0.16/0.57 [357] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [358] big_q(W115_3_3)
% 0.16/0.57
% 0.16/0.57 [358] CLOSURE : big_q(W115_3_3)
% 0.16/0.57
% 0.16/0.57 [15] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [37] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [38] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [37] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [92] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [92] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [188] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [189] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [188] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [221] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [221] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [222] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [222] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [223] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [224] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [224] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [223] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [231] ~! [Y113_13] : ((big_q(X112_5_1) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [231] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_5_1) <=> big_q(Y113_13)))
% 0.16/0.57 -> [232] ~(big_q(X112_5_1) <=> big_q(skolem_Y11313(X112_5_1)))
% 0.16/0.57
% 0.16/0.57 [232] BETA_NOT_EQUIV : ~(big_q(X112_5_1) <=> big_q(skolem_Y11313(X112_5_1)))
% 0.16/0.57 -> [233] ~big_q(X112_5_1), big_q(skolem_Y11313(X112_5_1))
% 0.16/0.57 -> [234] big_q(X112_5_1), ~big_q(skolem_Y11313(X112_5_1))
% 0.16/0.57
% 0.16/0.57 [234] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [263] ~big_q(U10_6_2)
% 0.16/0.57
% 0.16/0.57 [263] CLOSURE : ~big_q(U10_6_2)
% 0.16/0.57
% 0.16/0.57 [233] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [266] ~big_q(U10_7_2)
% 0.16/0.57
% 0.16/0.57 [266] CLOSURE : ~big_q(U10_7_2)
% 0.16/0.57
% 0.16/0.57 [189] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [191] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [191] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [192] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [192] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [198] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [198] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57 -> [199] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57
% 0.16/0.57 [199] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57 -> [202] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57 -> [203] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [202] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [203] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [384] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [384] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [385] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [385] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [389] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [390] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [390] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [389] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [403] ~big_q(U10_22_2)
% 0.16/0.57
% 0.16/0.57 [403] CLOSURE : ~big_q(U10_22_2)
% 0.16/0.57
% 0.16/0.57 [38] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [54] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [54] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [56] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [57] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [56] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [162] ~! [Y9_9] : ((big_p(X8_6_0) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [162] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_6_0) <=> big_p(Y9_9)))
% 0.16/0.57 -> [163] ~(big_p(X8_6_0) <=> big_p(skolem_Y99(X8_6_0)))
% 0.16/0.57
% 0.16/0.57 [163] BETA_NOT_EQUIV : ~(big_p(X8_6_0) <=> big_p(skolem_Y99(X8_6_0)))
% 0.16/0.57 -> [164] ~big_p(X8_6_0), big_p(skolem_Y99(X8_6_0))
% 0.16/0.57 -> [165] big_p(X8_6_0), ~big_p(skolem_Y99(X8_6_0))
% 0.16/0.57
% 0.16/0.57 [164] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [328] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [328] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57 -> [329] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57
% 0.16/0.57 [329] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57 -> [330] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57 -> [331] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [330] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [331] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [351] big_p(W11_10_2)
% 0.16/0.57
% 0.16/0.57 [351] CLOSURE : big_p(W11_10_2)
% 0.16/0.57
% 0.16/0.57 [165] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [375] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [375] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57 -> [376] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57
% 0.16/0.57 [376] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57 -> [377] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57 -> [378] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [377] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [378] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [394] big_p(W11_14_2)
% 0.16/0.57
% 0.16/0.57 [394] CLOSURE : big_p(W11_14_2)
% 0.16/0.57
% 0.16/0.57 [57] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [77] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [77] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [241] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [241] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [273] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [273] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57 -> [274] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57
% 0.16/0.57 [274] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57 -> [278] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57 -> [279] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [278] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [279] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [424] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [424] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [425] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [425] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [426] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [427] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [427] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [426] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [460] big_p(W11_17_2)
% 0.16/0.57
% 0.16/0.57 [460] CLOSURE : big_p(W11_17_2)
% 0.16/0.57
% 0.16/0.57 [2] BETA_EQUIV : (? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11))))
% 0.16/0.57 -> [3] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [4] ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57
% 0.16/0.57 [4] DELTA_EXISTS : ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [7] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [7] BETA_NOT_EQUIV : ~(? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57 -> [11] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [12] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57
% 0.16/0.57 [11] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [22] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [23] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [23] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [28] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [28] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [39] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [40] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [39] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [83] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [83] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [84] (big_p(skolem_X88) <=> big_p(Y9_1_0))
% 0.16/0.57
% 0.16/0.57 [84] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_1_0))
% 0.16/0.57 -> [86] ~big_p(skolem_X88), ~big_p(Y9_1_0)
% 0.16/0.57 -> [87] big_p(skolem_X88), big_p(Y9_1_0)
% 0.16/0.57
% 0.16/0.57 [87] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [171] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [171] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [176] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [176] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [179] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [180] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [180] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [179] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [243] big_p(W11_3_2)
% 0.16/0.57
% 0.16/0.57 [243] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [250] ~big_p(U114_3_3)
% 0.16/0.57
% 0.16/0.57 [250] CLOSURE : ~big_p(U114_3_3)
% 0.16/0.57
% 0.16/0.57 [86] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [105] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [105] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [108] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [108] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [113] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [114] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [114] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [113] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [314] big_p(W11_7_2)
% 0.16/0.57
% 0.16/0.57 [314] CLOSURE : big_p(W11_7_2)
% 0.16/0.57
% 0.16/0.57 [40] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [64] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [64] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [323] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [323] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [324] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [325] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [324] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [325] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [339] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [339] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57 -> [340] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57
% 0.16/0.57 [340] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57 -> [341] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57 -> [342] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [341] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [342] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [361] big_p(W11_12_2)
% 0.16/0.57
% 0.16/0.57 [361] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [382] big_q(W115_5_3)
% 0.16/0.57
% 0.16/0.57 [382] CLOSURE : big_q(W115_5_3)
% 0.16/0.57
% 0.16/0.57 [22] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [36] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [36] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [44] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [45] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [44] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [131] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [131] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [132] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [132] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [133] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [134] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [134] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [133] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [284] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [284] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [285] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [285] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [286] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [287] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [287] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [286] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [295] ~big_q(U10_11_2)
% 0.16/0.57
% 0.16/0.57 [295] CLOSURE : ~big_q(U10_11_2)
% 0.16/0.57
% 0.16/0.57 [45] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [65] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [65] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [67] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [67] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [71] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [72] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [72] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [71] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [334] ~! [Y113_13] : ((big_q(X112_11_1) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [334] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_11_1) <=> big_q(Y113_13)))
% 0.16/0.57 -> [335] ~(big_q(X112_11_1) <=> big_q(skolem_Y11313(X112_11_1)))
% 0.16/0.57
% 0.16/0.57 [335] BETA_NOT_EQUIV : ~(big_q(X112_11_1) <=> big_q(skolem_Y11313(X112_11_1)))
% 0.16/0.57 -> [336] ~big_q(X112_11_1), big_q(skolem_Y11313(X112_11_1))
% 0.16/0.57 -> [337] big_q(X112_11_1), ~big_q(skolem_Y11313(X112_11_1))
% 0.16/0.57
% 0.16/0.57 [337] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [356] ~big_q(U10_16_2)
% 0.16/0.57
% 0.16/0.57 [356] CLOSURE : ~big_q(U10_16_2)
% 0.16/0.57
% 0.16/0.57 [336] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [369] ~big_q(U10_19_2)
% 0.16/0.57
% 0.16/0.57 [369] CLOSURE : ~big_q(U10_19_2)
% 0.16/0.57
% 0.16/0.57 [12] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [25] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [25] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [29] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [30] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [29] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [85] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [85] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [88] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [89] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [88] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [100] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [100] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [103] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [104] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [104] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [103] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [128] (big_q(skolem_X11212) <=> big_q(Y113_1_1))
% 0.16/0.57
% 0.16/0.57 [128] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_1_1))
% 0.16/0.57 -> [129] ~big_q(skolem_X11212), ~big_q(Y113_1_1)
% 0.16/0.57 -> [130] big_q(skolem_X11212), big_q(Y113_1_1)
% 0.16/0.57
% 0.16/0.57 [130] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [155] ~big_q(U10_1_2)
% 0.16/0.57
% 0.16/0.57 [155] CLOSURE : ~big_q(U10_1_2)
% 0.16/0.57
% 0.16/0.57 [129] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [370] ~big_q(U10_20_2)
% 0.16/0.57
% 0.16/0.57 [370] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [379] ~big_p(U114_6_3)
% 0.16/0.57
% 0.16/0.57 [379] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [381] big_q(W115_4_4)
% 0.16/0.57
% 0.16/0.57 [381] CLOSURE : big_q(W115_4_4)
% 0.16/0.57
% 0.16/0.57 [89] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [252] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [252] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [253] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [253] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [254] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [254] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [255] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [256] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [255] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [256] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [428] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [428] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [429] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [430] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [430] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [429] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [443] ~big_q(U10_24_2)
% 0.16/0.57
% 0.16/0.57 [443] GAMMA_NOT_EXISTS : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [444] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [444] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [445] (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [445] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W1111))
% 0.16/0.57 -> [446] ~big_p(skolem_X88), ~big_p(skolem_W1111)
% 0.16/0.57 -> [447] big_p(skolem_X88), big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [446] CLOSURE : ~big_p(skolem_X88)
% 0.16/0.57
% 0.16/0.57 [447] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [30] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [48] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [48] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [50] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [51] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [50] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [98] (big_p(skolem_X88) <=> big_p(Y9_2_0))
% 0.16/0.57
% 0.16/0.57 [98] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_2_0))
% 0.16/0.57 -> [101] ~big_p(skolem_X88), ~big_p(Y9_2_0)
% 0.16/0.57 -> [102] big_p(skolem_X88), big_p(Y9_2_0)
% 0.16/0.57
% 0.16/0.57 [102] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [169] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [169] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [173] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [174] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [173] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [174] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [213] big_p(W11_2_2)
% 0.16/0.57
% 0.16/0.57 [213] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [225] ~big_p(U114_2_3)
% 0.16/0.57
% 0.16/0.57 [225] CLOSURE : ~big_p(U114_2_3)
% 0.16/0.57
% 0.16/0.57 [101] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [147] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [147] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [148] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [149] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [148] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [149] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [158] big_p(W11_1_2)
% 0.16/0.57
% 0.16/0.57 [158] CLOSURE : big_p(W11_1_2)
% 0.16/0.57
% 0.16/0.57 [51] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [70] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [70] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [230] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [230] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [267] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [267] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 0.16/0.57 -> [268] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 0.16/0.57 -> [269] big_p(skolem_X88), big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [268] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [269] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [391] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [391] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [392] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [393] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [393] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [392] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [423] big_p(W11_16_2)
% 0.16/0.57
% 0.16/0.57 [423] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [439] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [439] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 0.16/0.57 -> [440] (big_p(skolem_X88) <=> big_p(Y9_19_0))
% 0.16/0.57
% 0.16/0.57 [440] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_19_0))
% 0.16/0.57 -> [441] ~big_p(skolem_X88), ~big_p(Y9_19_0)
% 0.16/0.57 -> [442] big_p(skolem_X88), big_p(Y9_19_0)
% 0.16/0.57
% 0.16/0.57 [441] CLOSURE : ~big_p(skolem_X88)
% 0.16/0.57
% 0.16/0.57 [442] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [451] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [451] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [452] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [452] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [453] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [454] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [454] CLOSURE : big_q(skolem_X11212)
% 0.16/0.57
% 0.16/0.57 [453] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [3] BETA_NOT_EQUIV : ~(? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15))))
% 0.16/0.57 -> [9] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [10] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57
% 0.16/0.57 [9] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [20] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [21] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [20] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [33] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [34] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [33] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [91] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [91] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [172] ~! [Y9_9] : ((big_p(X8_7_0) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [172] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_7_0) <=> big_p(Y9_9)))
% 0.16/0.57 -> [178] ~(big_p(X8_7_0) <=> big_p(skolem_Y99(X8_7_0)))
% 0.16/0.57
% 0.16/0.57 [178] BETA_NOT_EQUIV : ~(big_p(X8_7_0) <=> big_p(skolem_Y99(X8_7_0)))
% 0.16/0.57 -> [183] ~big_p(X8_7_0), big_p(skolem_Y99(X8_7_0))
% 0.16/0.57 -> [184] big_p(X8_7_0), ~big_p(skolem_Y99(X8_7_0))
% 0.16/0.57
% 0.16/0.57 [184] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [204] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [204] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [205] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [205] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [206] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [207] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [207] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [206] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [251] ~big_q(U10_4_2)
% 0.16/0.57
% 0.16/0.57 [251] CLOSURE : ~big_q(U10_4_2)
% 0.16/0.57
% 0.16/0.57 [183] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [216] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [216] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [217] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [217] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [218] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [219] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [219] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [218] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [257] ~big_q(U10_5_2)
% 0.16/0.57
% 0.16/0.57 [257] CLOSURE : ~big_q(U10_5_2)
% 0.16/0.57
% 0.16/0.57 [34] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [49] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [49] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [53] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [53] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57 -> [55] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57
% 0.16/0.57 [55] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57 -> [60] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57 -> [61] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [60] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [61] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [137] ~! [Y113_13] : ((big_q(X112_1_1) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [137] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_1_1) <=> big_q(Y113_13)))
% 0.16/0.57 -> [140] ~(big_q(X112_1_1) <=> big_q(skolem_Y11313(X112_1_1)))
% 0.16/0.57
% 0.16/0.57 [140] BETA_NOT_EQUIV : ~(big_q(X112_1_1) <=> big_q(skolem_Y11313(X112_1_1)))
% 0.16/0.57 -> [142] ~big_q(X112_1_1), big_q(skolem_Y11313(X112_1_1))
% 0.16/0.57 -> [143] big_q(X112_1_1), ~big_q(skolem_Y11313(X112_1_1))
% 0.16/0.57
% 0.16/0.57 [142] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [283] ~big_q(U10_9_2)
% 0.16/0.57
% 0.16/0.57 [283] CLOSURE : ~big_q(U10_9_2)
% 0.16/0.57
% 0.16/0.57 [143] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [313] ~big_q(U10_13_2)
% 0.16/0.57
% 0.16/0.57 [313] CLOSURE : ~big_q(U10_13_2)
% 0.16/0.57
% 0.16/0.57 [21] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [26] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [26] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [185] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [185] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [186] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [187] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [186] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [208] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [208] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [209] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [209] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [212] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [212] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [214] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [215] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [215] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [214] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [246] ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [246] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W11515) <=> big_q(Y113_13)))
% 0.16/0.57 -> [247] ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57
% 0.16/0.57 [247] BETA_NOT_EQUIV : ~(big_q(skolem_W11515) <=> big_q(skolem_Y11313(skolem_W11515)))
% 0.16/0.57 -> [248] ~big_q(skolem_W11515), big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57 -> [249] big_q(skolem_W11515), ~big_q(skolem_Y11313(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [249] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [248] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [402] ~big_p(U114_7_2)
% 0.16/0.57
% 0.16/0.57 [402] CLOSURE : ~big_p(U114_7_2)
% 0.16/0.57
% 0.16/0.57 [187] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [196] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [196] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [226] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [226] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [227] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [227] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [228] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [229] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [229] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [228] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [275] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [275] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 0.16/0.57 -> [386] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57
% 0.16/0.57 [386] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 0.16/0.57 -> [387] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57 -> [388] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [387] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [388] GAMMA_FORALL : ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [404] big_q(W115_6_2)
% 0.16/0.57
% 0.16/0.57 [404] CLOSURE : big_q(W115_6_2)
% 0.16/0.57
% 0.16/0.57 [10] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 0.16/0.57 -> [17] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [17] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_p(W11_11)))
% 0.16/0.57 -> [18] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [19] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57
% 0.16/0.57 [18] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [73] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [74] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [74] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [76] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [76] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [78] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [78] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [79] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [79] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 0.16/0.57 -> [80] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57
% 0.16/0.57 [80] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 0.16/0.57 -> [81] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57 -> [82] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 0.16/0.57
% 0.16/0.57 [81] CLOSURE : ~big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [82] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [121] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [121] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [125] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [126] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [125] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [141] ~big_q(U10_0_2)
% 0.16/0.57
% 0.16/0.57 [141] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [145] big_p(W11_0_3)
% 0.16/0.57
% 0.16/0.57 [145] CLOSURE : big_p(W11_0_3)
% 0.16/0.57
% 0.16/0.57 [126] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [73] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [150] ~! [Y9_9] : ((big_p(X8_5_0) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [150] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_5_0) <=> big_p(Y9_9)))
% 0.16/0.57 -> [154] ~(big_p(X8_5_0) <=> big_p(skolem_Y99(X8_5_0)))
% 0.16/0.57
% 0.16/0.57 [154] BETA_NOT_EQUIV : ~(big_p(X8_5_0) <=> big_p(skolem_Y99(X8_5_0)))
% 0.16/0.57 -> [156] ~big_p(X8_5_0), big_p(skolem_Y99(X8_5_0))
% 0.16/0.57 -> [157] big_p(X8_5_0), ~big_p(skolem_Y99(X8_5_0))
% 0.16/0.57
% 0.16/0.57 [157] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [159] (big_q(skolem_X11212) <=> big_q(Y113_4_1))
% 0.16/0.57
% 0.16/0.57 [159] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_4_1))
% 0.16/0.57 -> [160] ~big_q(skolem_X11212), ~big_q(Y113_4_1)
% 0.16/0.57 -> [161] big_q(skolem_X11212), big_q(Y113_4_1)
% 0.16/0.57
% 0.16/0.57 [161] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [190] ~big_q(U10_2_2)
% 0.16/0.57
% 0.16/0.57 [190] CLOSURE : ~big_q(U10_2_2)
% 0.16/0.57
% 0.16/0.57 [160] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [301] ~big_q(U10_12_2)
% 0.16/0.57
% 0.16/0.57 [301] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [302] big_p(W11_6_3)
% 0.16/0.57
% 0.16/0.57 [302] CLOSURE : big_p(W11_6_3)
% 0.16/0.57
% 0.16/0.57 [156] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [315] (big_q(skolem_X11212) <=> big_q(Y113_13_1))
% 0.16/0.57
% 0.16/0.57 [315] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_13_1))
% 0.16/0.57 -> [316] ~big_q(skolem_X11212), ~big_q(Y113_13_1)
% 0.16/0.57 -> [317] big_q(skolem_X11212), big_q(Y113_13_1)
% 0.16/0.57
% 0.16/0.57 [316] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [326] ~big_q(U10_14_2)
% 0.16/0.57
% 0.16/0.57 [326] GAMMA_FORALL : ! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [327] big_p(W11_8_3)
% 0.16/0.57
% 0.16/0.57 [327] CLOSURE : big_p(W11_8_3)
% 0.16/0.57
% 0.16/0.57 [317] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [338] ~big_q(U10_15_2)
% 0.16/0.57
% 0.16/0.57 [338] CLOSURE : ~big_q(U10_15_2)
% 0.16/0.57
% 0.16/0.57 [19] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 0.16/0.57 -> [24] big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [24] DELTA_NOT_FORALL : ~! [W11_11] : (big_p(W11_11))
% 0.16/0.57 -> [35] ~big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [35] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_q(W115_15)))
% 0.16/0.57 -> [42] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [43] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57
% 0.16/0.57 [42] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [120] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [120] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [122] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [122] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [123] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [124] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [123] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [197] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [197] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [200] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [201] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [200] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [201] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [220] ~big_p(U114_1_2)
% 0.16/0.57
% 0.16/0.57 [220] CLOSURE : ~big_p(U114_1_2)
% 0.16/0.57
% 0.16/0.57 [124] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [43] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 0.16/0.57 -> [62] big_p(skolem_U11414)
% 0.16/0.57
% 0.16/0.57 [62] DELTA_NOT_FORALL : ~! [W115_15] : (big_q(W115_15))
% 0.16/0.57 -> [276] ~big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [276] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [431] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [431] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [432] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [432] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [433] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [434] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [434] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [433] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [457] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57
% 0.16/0.57 [457] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 0.16/0.57 -> [458] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 0.16/0.57 -> [459] big_q(skolem_X11212), big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [458] CLOSURE : ~big_q(skolem_U1010)
% 0.16/0.57
% 0.16/0.57 [459] : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [461] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57
% 0.16/0.57 [461] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 0.16/0.57 -> [462] ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57
% 0.16/0.57 [462] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W1111) <=> big_p(Y9_9)))
% 0.16/0.57 -> [463] ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57
% 0.16/0.57 [463] BETA_NOT_EQUIV : ~(big_p(skolem_W1111) <=> big_p(skolem_Y99(skolem_W1111)))
% 0.16/0.57 -> [464] ~big_p(skolem_W1111), big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57 -> [465] big_p(skolem_W1111), ~big_p(skolem_Y99(skolem_W1111))
% 0.16/0.57
% 0.16/0.57 [465] CLOSURE : big_p(skolem_W1111)
% 0.16/0.57
% 0.16/0.57 [464] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [466] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57
% 0.16/0.57 [466] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 0.16/0.57 -> [467] (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57
% 0.16/0.57 [467] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W11515))
% 0.16/0.57 -> [468] ~big_q(skolem_X11212), ~big_q(skolem_W11515)
% 0.16/0.57 -> [469] big_q(skolem_X11212), big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [469] CLOSURE : big_q(skolem_W11515)
% 0.16/0.57
% 0.16/0.57 [468] CLOSURE : ~big_q(skolem_X11212)
% 0.16/0.57
% 0.16/0.57 % SZS output end Proof for theBenchmark.p
% 0.16/0.57 [0.248816s][1][Res] 1420 goroutines created
% 0.16/0.57 ==== Result ====
% 0.16/0.57 [0.248838s][1][Res] VALID
% 0.16/0.57 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------