TSTP Solution File: SYN036+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:22:05 EDT 2022
% Result : Theorem 1.46s 0.56s
% Output : Proof 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 00:53:20 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 8
% 0.12/0.34 Launch Gotab with destructive = true
% 1.46/0.55 % SZS output start Proof for theBenchmark.p
% 1.46/0.55 [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_q(W11_11)))) <=> (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))))
% 1.46/0.55 -> [1] ~(? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))), (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15))))
% 1.46/0.55 -> [2] (? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))), ~(? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15))))
% 1.46/0.55
% 1.46/0.55 [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_q(W11_11))))
% 1.46/0.55 -> [5] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [6] ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55
% 1.46/0.55 [5] BETA_EQUIV : (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15))))
% 1.46/0.55 -> [15] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [16] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55
% 1.46/0.55 [16] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [21] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [21] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [30] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [31] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.55
% 1.46/0.55 [31] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [42] big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [42] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [58] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [59] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [59] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [70] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [70] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [194] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [194] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.55 -> [195] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.55
% 1.46/0.55 [195] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.55 -> [197] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.55 -> [198] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [197] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [198] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [224] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [224] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55 -> [225] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.55 -> [226] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [225] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [226] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [228] big_q(W11_3_2)
% 1.46/0.55
% 1.46/0.55 [228] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [252] big_p(W115_3_3)
% 1.46/0.55
% 1.46/0.55 [252] CLOSURE : big_p(W115_3_3)
% 1.46/0.55
% 1.46/0.55 [58] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [174] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [174] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [178] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [178] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55 -> [181] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55
% 1.46/0.55 [181] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55 -> [182] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55 -> [183] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [183] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [182] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [216] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [216] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55 -> [217] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.55 -> [218] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [217] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [218] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [227] big_q(W11_2_2)
% 1.46/0.55
% 1.46/0.55 [227] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [254] ~big_p(U114_5_3)
% 1.46/0.55
% 1.46/0.55 [254] CLOSURE : ~big_p(U114_5_3)
% 1.46/0.55
% 1.46/0.55 [30] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [82] ~big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [82] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [83] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [84] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [84] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [353] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [353] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [354] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [354] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.55 -> [355] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.55
% 1.46/0.55 [355] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.55 -> [356] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.55 -> [357] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [356] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [357] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [363] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [363] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55 -> [364] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.55 -> [365] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [365] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [364] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [369] ~big_q(U10_19_2)
% 1.46/0.55
% 1.46/0.55 [369] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [371] big_p(W115_4_3)
% 1.46/0.55
% 1.46/0.55 [371] CLOSURE : big_p(W115_4_3)
% 1.46/0.55
% 1.46/0.55 [83] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [92] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [92] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [274] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [274] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55 -> [275] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55
% 1.46/0.55 [275] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55 -> [276] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55 -> [277] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [277] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [276] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [366] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [366] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55 -> [367] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.55 -> [368] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [367] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [378] ~big_q(U10_21_2)
% 1.46/0.55
% 1.46/0.55 [378] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [379] ~big_p(U114_8_3)
% 1.46/0.55
% 1.46/0.55 [379] CLOSURE : ~big_p(U114_8_3)
% 1.46/0.55
% 1.46/0.55 [368] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [15] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [33] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [34] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.55
% 1.46/0.55 [33] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [72] ~big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [72] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [76] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [77] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [77] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [89] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [89] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [96] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [96] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [132] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [132] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55 -> [134] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55
% 1.46/0.55 [134] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55 -> [137] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55 -> [138] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [138] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [137] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [313] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [313] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [315] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [315] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [317] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [318] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [318] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [317] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [346] ~big_q(U10_13_2)
% 1.46/0.55
% 1.46/0.55 [346] CLOSURE : ~big_q(U10_13_2)
% 1.46/0.55
% 1.46/0.55 [76] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [286] ~! [Y9_9] : ((big_p(X8_11_0) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [286] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_11_0) <=> big_p(Y9_9)))
% 1.46/0.55 -> [288] ~(big_p(X8_11_0) <=> big_p(skolem_Y99(X8_11_0)))
% 1.46/0.55
% 1.46/0.55 [288] BETA_NOT_EQUIV : ~(big_p(X8_11_0) <=> big_p(skolem_Y99(X8_11_0)))
% 1.46/0.55 -> [290] ~big_p(X8_11_0), big_p(skolem_Y99(X8_11_0))
% 1.46/0.55 -> [291] big_p(X8_11_0), ~big_p(skolem_Y99(X8_11_0))
% 1.46/0.55
% 1.46/0.55 [291] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [302] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [302] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [303] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [303] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [305] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [306] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [306] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [305] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [339] ~big_q(U10_11_2)
% 1.46/0.55
% 1.46/0.55 [339] CLOSURE : ~big_q(U10_11_2)
% 1.46/0.55
% 1.46/0.55 [290] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [314] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [314] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [316] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [316] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [319] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [320] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [320] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [319] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [347] ~big_q(U10_14_2)
% 1.46/0.55
% 1.46/0.55 [347] CLOSURE : ~big_q(U10_14_2)
% 1.46/0.55
% 1.46/0.55 [34] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [44] big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [44] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [48] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [49] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [48] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [99] ~! [Y9_9] : ((big_p(X8_1_0) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [99] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_1_0) <=> big_p(Y9_9)))
% 1.46/0.55 -> [102] ~(big_p(X8_1_0) <=> big_p(skolem_Y99(X8_1_0)))
% 1.46/0.55
% 1.46/0.55 [102] BETA_NOT_EQUIV : ~(big_p(X8_1_0) <=> big_p(skolem_Y99(X8_1_0)))
% 1.46/0.55 -> [103] ~big_p(X8_1_0), big_p(skolem_Y99(X8_1_0))
% 1.46/0.55 -> [104] big_p(X8_1_0), ~big_p(skolem_Y99(X8_1_0))
% 1.46/0.55
% 1.46/0.55 [104] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [150] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [150] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55 -> [151] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55
% 1.46/0.55 [151] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55 -> [152] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55 -> [153] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [153] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [192] big_q(W11_1_2)
% 1.46/0.55
% 1.46/0.55 [192] CLOSURE : big_q(W11_1_2)
% 1.46/0.55
% 1.46/0.55 [152] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [103] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [162] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [162] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55 -> [163] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55
% 1.46/0.55 [163] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55 -> [165] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55 -> [166] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [166] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [310] big_q(W11_6_2)
% 1.46/0.55
% 1.46/0.55 [310] CLOSURE : big_q(W11_6_2)
% 1.46/0.55
% 1.46/0.55 [165] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [49] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [63] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [63] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [149] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [149] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [398] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [398] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.55 -> [399] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55
% 1.46/0.55 [399] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.55 -> [400] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55 -> [401] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [401] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [400] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [428] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [428] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55 -> [429] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55
% 1.46/0.55 [429] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55 -> [431] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55 -> [432] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [431] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [432] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [447] big_q(W11_14_2)
% 1.46/0.55
% 1.46/0.55 [447] CLOSURE : big_q(W11_14_2)
% 1.46/0.55
% 1.46/0.55 [6] DELTA_EXISTS : ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [7] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [7] BETA_EQUIV : (? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15))))
% 1.46/0.55 -> [9] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [10] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55
% 1.46/0.55 [10] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [19] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [19] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [26] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [27] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55
% 1.46/0.55 [26] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [324] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [325] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [325] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [330] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [330] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [331] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [331] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55 -> [332] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.55 -> [333] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [332] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [333] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [336] (big_q(skolem_X11212) <=> big_q(Y113_11_1))
% 1.46/0.55
% 1.46/0.55 [336] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_11_1))
% 1.46/0.55 -> [337] ~big_q(skolem_X11212), ~big_q(Y113_11_1)
% 1.46/0.55 -> [338] big_q(skolem_X11212), big_q(Y113_11_1)
% 1.46/0.55
% 1.46/0.55 [338] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [348] ~big_q(U10_15_2)
% 1.46/0.55
% 1.46/0.55 [348] CLOSURE : ~big_q(U10_15_2)
% 1.46/0.55
% 1.46/0.55 [337] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [344] ~big_q(U10_12_2)
% 1.46/0.55
% 1.46/0.55 [344] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [345] big_q(W11_9_3)
% 1.46/0.55
% 1.46/0.55 [345] CLOSURE : big_q(W11_9_3)
% 1.46/0.55
% 1.46/0.55 [324] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [340] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [340] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [341] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [341] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55 -> [342] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.55 -> [343] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [343] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [342] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [349] (big_q(skolem_X11212) <=> big_q(Y113_12_1))
% 1.46/0.55
% 1.46/0.55 [349] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_12_1))
% 1.46/0.55 -> [350] ~big_q(skolem_X11212), ~big_q(Y113_12_1)
% 1.46/0.55 -> [351] big_q(skolem_X11212), big_q(Y113_12_1)
% 1.46/0.55
% 1.46/0.55 [351] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [352] ~big_q(U10_16_2)
% 1.46/0.55
% 1.46/0.55 [352] CLOSURE : ~big_q(U10_16_2)
% 1.46/0.55
% 1.46/0.55 [350] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [358] ~big_q(U10_17_2)
% 1.46/0.55
% 1.46/0.55 [358] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [361] big_q(W11_10_3)
% 1.46/0.55
% 1.46/0.55 [361] CLOSURE : big_q(W11_10_3)
% 1.46/0.55
% 1.46/0.55 [27] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [41] big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [41] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [55] ~big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [55] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [60] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [61] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [60] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [175] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [175] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [184] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [184] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55 -> [186] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.55 -> [187] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [187] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [186] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [203] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [203] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55 -> [204] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.55 -> [205] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [204] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [205] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [232] ~big_p(U114_3_2)
% 1.46/0.55
% 1.46/0.55 [232] GAMMA_NOT_EXISTS : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [240] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [240] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [241] (big_p(skolem_X88) <=> big_p(Y9_12_0))
% 1.46/0.55
% 1.46/0.55 [241] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_12_0))
% 1.46/0.55 -> [243] ~big_p(skolem_X88), ~big_p(Y9_12_0)
% 1.46/0.55 -> [244] big_p(skolem_X88), big_p(Y9_12_0)
% 1.46/0.55
% 1.46/0.55 [244] CLOSURE : big_p(skolem_X88)
% 1.46/0.55
% 1.46/0.55 [243] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [269] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [269] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [270] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [270] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55 -> [271] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.55 -> [272] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [271] CLOSURE : ~big_q(skolem_X11212)
% 1.46/0.55
% 1.46/0.55 [272] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [61] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [91] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [91] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [121] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [121] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55 -> [122] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.55 -> [123] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [122] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [123] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [146] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [146] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.55 -> [147] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.55 -> [148] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [148] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [147] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [406] big_p(W115_6_2)
% 1.46/0.55
% 1.46/0.55 [406] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [412] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [412] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [413] (big_p(skolem_X88) <=> big_p(Y9_16_0))
% 1.46/0.55
% 1.46/0.55 [413] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_16_0))
% 1.46/0.55 -> [414] ~big_p(skolem_X88), ~big_p(Y9_16_0)
% 1.46/0.55 -> [415] big_p(skolem_X88), big_p(Y9_16_0)
% 1.46/0.55
% 1.46/0.55 [414] CLOSURE : ~big_p(skolem_X88)
% 1.46/0.55
% 1.46/0.55 [415] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [418] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [418] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.55 -> [419] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [419] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.55 -> [420] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.55 -> [421] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [421] CLOSURE : big_q(skolem_X11212)
% 1.46/0.55
% 1.46/0.55 [420] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [9] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [17] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [18] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55
% 1.46/0.55 [17] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [56] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [57] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [56] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [105] (big_p(skolem_X88) <=> big_p(Y9_4_0))
% 1.46/0.55
% 1.46/0.55 [105] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_4_0))
% 1.46/0.55 -> [107] ~big_p(skolem_X88), ~big_p(Y9_4_0)
% 1.46/0.55 -> [108] big_p(skolem_X88), big_p(Y9_4_0)
% 1.46/0.55
% 1.46/0.55 [107] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [139] ~! [Y113_13] : ((big_q(X112_3_1) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [139] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_3_1) <=> big_q(Y113_13)))
% 1.46/0.55 -> [140] ~(big_q(X112_3_1) <=> big_q(skolem_Y11313(X112_3_1)))
% 1.46/0.55
% 1.46/0.55 [140] BETA_NOT_EQUIV : ~(big_q(X112_3_1) <=> big_q(skolem_Y11313(X112_3_1)))
% 1.46/0.55 -> [142] ~big_q(X112_3_1), big_q(skolem_Y11313(X112_3_1))
% 1.46/0.55 -> [143] big_q(X112_3_1), ~big_q(skolem_Y11313(X112_3_1))
% 1.46/0.55
% 1.46/0.55 [143] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [160] ~big_q(U10_0_2)
% 1.46/0.55
% 1.46/0.55 [160] CLOSURE : ~big_q(U10_0_2)
% 1.46/0.55
% 1.46/0.55 [142] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [381] ~big_q(U10_22_2)
% 1.46/0.55
% 1.46/0.55 [381] CLOSURE : ~big_q(U10_22_2)
% 1.46/0.55
% 1.46/0.55 [108] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [117] ~! [Y113_13] : ((big_q(X112_0_1) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [117] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_0_1) <=> big_q(Y113_13)))
% 1.46/0.55 -> [118] ~(big_q(X112_0_1) <=> big_q(skolem_Y11313(X112_0_1)))
% 1.46/0.55
% 1.46/0.55 [118] BETA_NOT_EQUIV : ~(big_q(X112_0_1) <=> big_q(skolem_Y11313(X112_0_1)))
% 1.46/0.55 -> [119] ~big_q(X112_0_1), big_q(skolem_Y11313(X112_0_1))
% 1.46/0.55 -> [120] big_q(X112_0_1), ~big_q(skolem_Y11313(X112_0_1))
% 1.46/0.55
% 1.46/0.55 [120] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [173] ~big_q(U10_3_2)
% 1.46/0.55
% 1.46/0.55 [173] CLOSURE : ~big_q(U10_3_2)
% 1.46/0.55
% 1.46/0.55 [119] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [385] ~big_q(U10_23_2)
% 1.46/0.55
% 1.46/0.55 [385] CLOSURE : ~big_q(U10_23_2)
% 1.46/0.55
% 1.46/0.55 [57] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [64] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [64] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [65] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [65] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [66] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [66] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55 -> [67] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.55 -> [68] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [67] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [68] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [407] ~! [Y113_13] : ((big_q(X112_16_1) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [407] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_16_1) <=> big_q(Y113_13)))
% 1.46/0.55 -> [408] ~(big_q(X112_16_1) <=> big_q(skolem_Y11313(X112_16_1)))
% 1.46/0.55
% 1.46/0.55 [408] BETA_NOT_EQUIV : ~(big_q(X112_16_1) <=> big_q(skolem_Y11313(X112_16_1)))
% 1.46/0.55 -> [409] ~big_q(X112_16_1), big_q(skolem_Y11313(X112_16_1))
% 1.46/0.55 -> [410] big_q(X112_16_1), ~big_q(skolem_Y11313(X112_16_1))
% 1.46/0.55
% 1.46/0.55 [410] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [417] ~big_q(U10_27_2)
% 1.46/0.55
% 1.46/0.55 [417] CLOSURE : ~big_q(U10_27_2)
% 1.46/0.55
% 1.46/0.55 [409] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [426] ~big_q(U10_28_2)
% 1.46/0.55
% 1.46/0.55 [426] CLOSURE : ~big_q(U10_28_2)
% 1.46/0.55
% 1.46/0.55 [18] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [23] big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [23] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [32] ~big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [32] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [35] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [36] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [35] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [71] (big_p(skolem_X88) <=> big_p(Y9_1_0))
% 1.46/0.55
% 1.46/0.55 [71] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_1_0))
% 1.46/0.55 -> [74] ~big_p(skolem_X88), ~big_p(Y9_1_0)
% 1.46/0.55 -> [75] big_p(skolem_X88), big_p(Y9_1_0)
% 1.46/0.55
% 1.46/0.55 [74] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [188] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [188] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [189] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [189] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [190] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [191] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [191] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [190] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [239] ~big_p(U114_4_2)
% 1.46/0.55
% 1.46/0.55 [239] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [242] big_p(W115_2_3)
% 1.46/0.55
% 1.46/0.55 [242] CLOSURE : big_p(W115_2_3)
% 1.46/0.55
% 1.46/0.55 [75] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [208] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [208] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [209] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [209] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [210] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [211] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [211] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [210] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [273] ~big_p(U114_6_2)
% 1.46/0.55
% 1.46/0.55 [273] CLOSURE : ~big_p(U114_6_2)
% 1.46/0.55
% 1.46/0.55 [36] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [50] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [50] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [411] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [411] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [430] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [430] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55 -> [433] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.55 -> [434] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [434] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [433] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [450] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [450] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.55 -> [451] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55
% 1.46/0.55 [451] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.55 -> [452] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55 -> [453] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.55
% 1.46/0.55 [452] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.55
% 1.46/0.55 [453] : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [457] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [457] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [459] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [459] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55 -> [461] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.55 -> [462] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [462] CLOSURE : big_p(skolem_X88)
% 1.46/0.55
% 1.46/0.55 [461] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [2] BETA_EQUIV : (? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))) <=> (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11))))
% 1.46/0.55 -> [3] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [4] ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9)))), (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55
% 1.46/0.55 [4] DELTA_EXISTS : ? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.55 -> [8] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55
% 1.46/0.55 [8] BETA_NOT_EQUIV : ~(? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))) <=> (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15))))
% 1.46/0.55 -> [13] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [14] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55
% 1.46/0.55 [13] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.55 -> [37] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [38] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.55
% 1.46/0.55 [37] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.55 -> [81] ~big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [81] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.55 -> [86] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [87] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.55
% 1.46/0.55 [87] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.55 -> [112] big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [112] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [113] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55
% 1.46/0.55 [113] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.55 -> [114] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.55 -> [115] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [114] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.55
% 1.46/0.55 [115] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [124] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [124] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55 -> [125] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55
% 1.46/0.55 [125] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.55 -> [126] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55 -> [127] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.55
% 1.46/0.55 [127] CLOSURE : big_q(skolem_W1111)
% 1.46/0.55
% 1.46/0.55 [126] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.55 -> [161] ~big_q(U10_1_2)
% 1.46/0.55
% 1.46/0.55 [161] CLOSURE : ~big_q(U10_1_2)
% 1.46/0.55
% 1.46/0.55 [86] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.55 -> [106] ~big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [106] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.55 -> [109] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55
% 1.46/0.55 [109] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.55 -> [110] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.55 -> [111] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [111] CLOSURE : big_p(skolem_W11515)
% 1.46/0.55
% 1.46/0.55 [110] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.55 -> [131] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.55
% 1.46/0.55 [131] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.56 -> [133] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56
% 1.46/0.56 [133] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56 -> [135] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56 -> [136] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [136] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [135] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [172] ~big_q(U10_2_2)
% 1.46/0.56
% 1.46/0.56 [172] CLOSURE : ~big_q(U10_2_2)
% 1.46/0.56
% 1.46/0.56 [38] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [45] big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [45] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [51] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [52] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [52] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [69] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [69] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [200] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [200] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56 -> [201] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.56 -> [202] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [201] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [202] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [219] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [219] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.56 -> [220] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.56
% 1.46/0.56 [220] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.56 -> [221] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.56 -> [222] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [221] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [222] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [246] big_q(W11_4_2)
% 1.46/0.56
% 1.46/0.56 [246] CLOSURE : big_q(W11_4_2)
% 1.46/0.56
% 1.46/0.56 [51] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [422] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [422] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [423] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [423] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56 -> [424] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.56 -> [425] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [425] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [424] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [435] ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [435] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_U1010) <=> big_q(Y113_13)))
% 1.46/0.56 -> [436] ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.56
% 1.46/0.56 [436] BETA_NOT_EQUIV : ~(big_q(skolem_U1010) <=> big_q(skolem_Y11313(skolem_U1010)))
% 1.46/0.56 -> [437] ~big_q(skolem_U1010), big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.56 -> [438] big_q(skolem_U1010), ~big_q(skolem_Y11313(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [437] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [438] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [444] big_q(W11_13_2)
% 1.46/0.56
% 1.46/0.56 [444] CLOSURE : big_q(W11_13_2)
% 1.46/0.56
% 1.46/0.56 [14] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [22] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [22] BETA_EQUIV : (? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.56 -> [28] ~? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [29] ? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.56
% 1.46/0.56 [28] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [73] ~big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [73] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [78] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [79] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [78] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [157] (big_p(skolem_X88) <=> big_p(Y9_9_0))
% 1.46/0.56
% 1.46/0.56 [157] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_9_0))
% 1.46/0.56 -> [158] ~big_p(skolem_X88), ~big_p(Y9_9_0)
% 1.46/0.56 -> [159] big_p(skolem_X88), big_p(Y9_9_0)
% 1.46/0.56
% 1.46/0.56 [158] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [176] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [176] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [179] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [180] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [179] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [193] ~big_q(U10_5_2)
% 1.46/0.56
% 1.46/0.56 [193] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [196] ~big_p(U114_2_3)
% 1.46/0.56
% 1.46/0.56 [196] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [199] big_p(W115_1_4)
% 1.46/0.56
% 1.46/0.56 [199] CLOSURE : big_p(W115_1_4)
% 1.46/0.56
% 1.46/0.56 [180] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [159] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [164] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [164] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [167] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [168] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [167] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [177] ~big_q(U10_4_2)
% 1.46/0.56
% 1.46/0.56 [177] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [185] ~big_p(U114_1_3)
% 1.46/0.56
% 1.46/0.56 [185] CLOSURE : ~big_p(U114_1_3)
% 1.46/0.56
% 1.46/0.56 [168] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [79] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [85] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [85] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [88] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [88] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [90] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [90] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56 -> [94] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.56 -> [95] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [95] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [94] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [382] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [382] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [383] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [384] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [384] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [383] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [390] ~big_q(U10_24_2)
% 1.46/0.56
% 1.46/0.56 [390] GAMMA_NOT_EXISTS : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [391] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [391] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [392] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [392] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56 -> [393] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.56 -> [394] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [393] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [394] CLOSURE : big_p(skolem_X88)
% 1.46/0.56
% 1.46/0.56 [29] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [43] big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [43] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [46] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [47] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [46] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [97] (big_p(skolem_X88) <=> big_p(Y9_3_0))
% 1.46/0.56
% 1.46/0.56 [97] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(Y9_3_0))
% 1.46/0.56 -> [100] ~big_p(skolem_X88), ~big_p(Y9_3_0)
% 1.46/0.56 -> [101] big_p(skolem_X88), big_p(Y9_3_0)
% 1.46/0.56
% 1.46/0.56 [101] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [169] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [169] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56 -> [170] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.56 -> [171] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [170] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [171] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [304] big_q(W11_5_2)
% 1.46/0.56
% 1.46/0.56 [304] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [321] ~big_p(U114_7_3)
% 1.46/0.56
% 1.46/0.56 [321] CLOSURE : ~big_p(U114_7_3)
% 1.46/0.56
% 1.46/0.56 [100] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [128] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [128] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56 -> [129] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.56 -> [130] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [130] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [141] big_q(W11_0_2)
% 1.46/0.56
% 1.46/0.56 [141] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [144] ~big_p(U114_0_3)
% 1.46/0.56
% 1.46/0.56 [144] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [145] big_p(W115_0_4)
% 1.46/0.56
% 1.46/0.56 [145] CLOSURE : big_p(W115_0_4)
% 1.46/0.56
% 1.46/0.56 [129] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [47] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [62] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [62] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [116] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [116] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [154] (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [154] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_W11515))
% 1.46/0.56 -> [155] ~big_p(skolem_X88), ~big_p(skolem_W11515)
% 1.46/0.56 -> [156] big_p(skolem_X88), big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [156] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [155] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [439] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [439] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56 -> [440] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.56 -> [441] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [440] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [441] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [443] big_q(W11_12_2)
% 1.46/0.56
% 1.46/0.56 [443] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [445] ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [445] GAMMA_FORALL : ! [Y9_9] : ((big_p(skolem_X88) <=> big_p(Y9_9)))
% 1.46/0.56 -> [446] (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [446] BETA_EQUIV : (big_p(skolem_X88) <=> big_p(skolem_U11414))
% 1.46/0.56 -> [448] ~big_p(skolem_X88), ~big_p(skolem_U11414)
% 1.46/0.56 -> [449] big_p(skolem_X88), big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [449] CLOSURE : big_p(skolem_X88)
% 1.46/0.56
% 1.46/0.56 [448] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [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_p(W115_15))))
% 1.46/0.56 -> [11] ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [12] ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13)))), ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56
% 1.46/0.56 [11] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.56 -> [206] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [207] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56
% 1.46/0.56 [206] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [229] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [230] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [229] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [262] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [262] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [265] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [265] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56 -> [266] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56
% 1.46/0.56 [266] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56 -> [267] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56 -> [268] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [268] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [267] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [278] ~! [Y113_13] : ((big_q(X112_10_1) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [278] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_10_1) <=> big_q(Y113_13)))
% 1.46/0.56 -> [279] ~(big_q(X112_10_1) <=> big_q(skolem_Y11313(X112_10_1)))
% 1.46/0.56
% 1.46/0.56 [279] BETA_NOT_EQUIV : ~(big_q(X112_10_1) <=> big_q(skolem_Y11313(X112_10_1)))
% 1.46/0.56 -> [280] ~big_q(X112_10_1), big_q(skolem_Y11313(X112_10_1))
% 1.46/0.56 -> [281] big_q(X112_10_1), ~big_q(skolem_Y11313(X112_10_1))
% 1.46/0.56
% 1.46/0.56 [280] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [362] ~big_q(U10_18_2)
% 1.46/0.56
% 1.46/0.56 [362] CLOSURE : ~big_q(U10_18_2)
% 1.46/0.56
% 1.46/0.56 [281] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [377] ~big_q(U10_20_2)
% 1.46/0.56
% 1.46/0.56 [377] CLOSURE : ~big_q(U10_20_2)
% 1.46/0.56
% 1.46/0.56 [230] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [231] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [231] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [233] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [233] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56 -> [234] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56
% 1.46/0.56 [234] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56 -> [235] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56 -> [236] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [235] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [236] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [260] ~! [Y113_13] : ((big_q(X112_9_1) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [260] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(X112_9_1) <=> big_q(Y113_13)))
% 1.46/0.56 -> [261] ~(big_q(X112_9_1) <=> big_q(skolem_Y11313(X112_9_1)))
% 1.46/0.56
% 1.46/0.56 [261] BETA_NOT_EQUIV : ~(big_q(X112_9_1) <=> big_q(skolem_Y11313(X112_9_1)))
% 1.46/0.56 -> [263] ~big_q(X112_9_1), big_q(skolem_Y11313(X112_9_1))
% 1.46/0.56 -> [264] big_q(X112_9_1), ~big_q(skolem_Y11313(X112_9_1))
% 1.46/0.56
% 1.46/0.56 [264] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [301] ~big_q(U10_6_2)
% 1.46/0.56
% 1.46/0.56 [301] CLOSURE : ~big_q(U10_6_2)
% 1.46/0.56
% 1.46/0.56 [263] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [427] ~big_q(U10_29_2)
% 1.46/0.56
% 1.46/0.56 [427] CLOSURE : ~big_q(U10_29_2)
% 1.46/0.56
% 1.46/0.56 [207] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [212] big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [212] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [213] ~big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [213] BETA_EQUIV : (? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [214] ~? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [215] ? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [215] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [223] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [223] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [294] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [294] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56 -> [295] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56
% 1.46/0.56 [295] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56 -> [296] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56 -> [297] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [296] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [297] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [326] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [326] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.56 -> [327] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56
% 1.46/0.56 [327] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56 -> [328] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56 -> [329] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [329] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [328] GAMMA_FORALL : ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [380] big_p(W115_5_2)
% 1.46/0.56
% 1.46/0.56 [380] CLOSURE : big_p(W115_5_2)
% 1.46/0.56
% 1.46/0.56 [214] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [255] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [255] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [256] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [256] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56 -> [257] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56
% 1.46/0.56 [257] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56 -> [258] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56 -> [259] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [259] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [258] GAMMA_NOT_EXISTS : ~? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [402] ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [402] DELTA_NOT_FORALL : ~! [Y113_13] : ((big_q(skolem_W1111) <=> big_q(Y113_13)))
% 1.46/0.56 -> [403] ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56
% 1.46/0.56 [403] BETA_NOT_EQUIV : ~(big_q(skolem_W1111) <=> big_q(skolem_Y11313(skolem_W1111)))
% 1.46/0.56 -> [404] ~big_q(skolem_W1111), big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56 -> [405] big_q(skolem_W1111), ~big_q(skolem_Y11313(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [405] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [404] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [442] ~big_p(U114_11_2)
% 1.46/0.56
% 1.46/0.56 [442] CLOSURE : ~big_p(U114_11_2)
% 1.46/0.56
% 1.46/0.56 [12] DELTA_EXISTS : ? [X112_12] : (! [Y113_13] : ((big_q(X112_12) <=> big_q(Y113_13))))
% 1.46/0.56 -> [20] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [20] BETA_NOT_EQUIV : ~(? [U10_10] : (big_q(U10_10)) <=> ! [W11_11] : (big_q(W11_11)))
% 1.46/0.56 -> [24] ~? [U10_10] : (big_q(U10_10)), ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [25] ? [U10_10] : (big_q(U10_10)), ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56
% 1.46/0.56 [24] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [237] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [238] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [237] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [287] ~! [Y9_9] : ((big_p(X8_12_0) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [287] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_12_0) <=> big_p(Y9_9)))
% 1.46/0.56 -> [289] ~(big_p(X8_12_0) <=> big_p(skolem_Y99(X8_12_0)))
% 1.46/0.56
% 1.46/0.56 [289] BETA_NOT_EQUIV : ~(big_p(X8_12_0) <=> big_p(skolem_Y99(X8_12_0)))
% 1.46/0.56 -> [292] ~big_p(X8_12_0), big_p(skolem_Y99(X8_12_0))
% 1.46/0.56 -> [293] big_p(X8_12_0), ~big_p(skolem_Y99(X8_12_0))
% 1.46/0.56
% 1.46/0.56 [292] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [307] (big_q(skolem_X11212) <=> big_q(Y113_10_1))
% 1.46/0.56
% 1.46/0.56 [307] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_10_1))
% 1.46/0.56 -> [308] ~big_q(skolem_X11212), ~big_q(Y113_10_1)
% 1.46/0.56 -> [309] big_q(skolem_X11212), big_q(Y113_10_1)
% 1.46/0.56
% 1.46/0.56 [309] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [335] ~big_q(U10_10_2)
% 1.46/0.56
% 1.46/0.56 [335] CLOSURE : ~big_q(U10_10_2)
% 1.46/0.56
% 1.46/0.56 [308] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [322] ~big_q(U10_8_2)
% 1.46/0.56
% 1.46/0.56 [322] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [323] big_q(W11_8_3)
% 1.46/0.56
% 1.46/0.56 [323] CLOSURE : big_q(W11_8_3)
% 1.46/0.56
% 1.46/0.56 [293] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [298] (big_q(skolem_X11212) <=> big_q(Y113_9_1))
% 1.46/0.56
% 1.46/0.56 [298] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_9_1))
% 1.46/0.56 -> [299] ~big_q(skolem_X11212), ~big_q(Y113_9_1)
% 1.46/0.56 -> [300] big_q(skolem_X11212), big_q(Y113_9_1)
% 1.46/0.56
% 1.46/0.56 [299] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [311] ~big_q(U10_7_2)
% 1.46/0.56
% 1.46/0.56 [311] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [312] big_q(W11_7_3)
% 1.46/0.56
% 1.46/0.56 [312] CLOSURE : big_q(W11_7_3)
% 1.46/0.56
% 1.46/0.56 [300] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [334] ~big_q(U10_9_2)
% 1.46/0.56
% 1.46/0.56 [334] CLOSURE : ~big_q(U10_9_2)
% 1.46/0.56
% 1.46/0.56 [238] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [245] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [245] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [247] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [247] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [248] ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [248] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_W11515) <=> big_p(Y9_9)))
% 1.46/0.56 -> [249] ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56
% 1.46/0.56 [249] BETA_NOT_EQUIV : ~(big_p(skolem_W11515) <=> big_p(skolem_Y99(skolem_W11515)))
% 1.46/0.56 -> [250] ~big_p(skolem_W11515), big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56 -> [251] big_p(skolem_W11515), ~big_p(skolem_Y99(skolem_W11515))
% 1.46/0.56
% 1.46/0.56 [251] CLOSURE : big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [250] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [387] (big_q(skolem_X11212) <=> big_q(Y113_18_1))
% 1.46/0.56
% 1.46/0.56 [387] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(Y113_18_1))
% 1.46/0.56 -> [388] ~big_q(skolem_X11212), ~big_q(Y113_18_1)
% 1.46/0.56 -> [389] big_q(skolem_X11212), big_q(Y113_18_1)
% 1.46/0.56
% 1.46/0.56 [388] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [396] ~big_q(U10_25_2)
% 1.46/0.56
% 1.46/0.56 [396] GAMMA_FORALL : ! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [397] big_q(W11_11_3)
% 1.46/0.56
% 1.46/0.56 [397] CLOSURE : big_q(W11_11_3)
% 1.46/0.56
% 1.46/0.56 [389] GAMMA_NOT_EXISTS : ~? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [416] ~big_q(U10_26_2)
% 1.46/0.56
% 1.46/0.56 [416] CLOSURE : ~big_q(U10_26_2)
% 1.46/0.56
% 1.46/0.56 [25] DELTA_EXISTS : ? [U10_10] : (big_q(U10_10))
% 1.46/0.56 -> [39] big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [39] DELTA_NOT_FORALL : ~! [W11_11] : (big_q(W11_11))
% 1.46/0.56 -> [40] ~big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [40] BETA_NOT_EQUIV : ~(? [U114_14] : (big_p(U114_14)) <=> ! [W115_15] : (big_p(W115_15)))
% 1.46/0.56 -> [53] ~? [U114_14] : (big_p(U114_14)), ! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [54] ? [U114_14] : (big_p(U114_14)), ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56
% 1.46/0.56 [53] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [93] ~! [Y9_9] : ((big_p(X8_0_0) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [93] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(X8_0_0) <=> big_p(Y9_9)))
% 1.46/0.56 -> [98] ~(big_p(X8_0_0) <=> big_p(skolem_Y99(X8_0_0)))
% 1.46/0.56
% 1.46/0.56 [98] BETA_NOT_EQUIV : ~(big_p(X8_0_0) <=> big_p(skolem_Y99(X8_0_0)))
% 1.46/0.56 -> [359] ~big_p(X8_0_0), big_p(skolem_Y99(X8_0_0))
% 1.46/0.56 -> [360] big_p(X8_0_0), ~big_p(skolem_Y99(X8_0_0))
% 1.46/0.56
% 1.46/0.56 [360] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [374] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [374] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [375] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [376] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [376] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [375] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [386] ~big_p(U114_9_2)
% 1.46/0.56
% 1.46/0.56 [386] CLOSURE : ~big_p(U114_9_2)
% 1.46/0.56
% 1.46/0.56 [359] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [370] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [370] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [372] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [373] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [373] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [372] GAMMA_NOT_EXISTS : ~? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [395] ~big_p(U114_10_2)
% 1.46/0.56
% 1.46/0.56 [395] CLOSURE : ~big_p(U114_10_2)
% 1.46/0.56
% 1.46/0.56 [54] DELTA_EXISTS : ? [U114_14] : (big_p(U114_14))
% 1.46/0.56 -> [80] big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [80] DELTA_NOT_FORALL : ~! [W115_15] : (big_p(W115_15))
% 1.46/0.56 -> [253] ~big_p(skolem_W11515)
% 1.46/0.56
% 1.46/0.56 [253] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [282] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [282] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56 -> [283] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56
% 1.46/0.56 [283] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56 -> [284] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56 -> [285] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [284] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [285] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [454] (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56
% 1.46/0.56 [454] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_U1010))
% 1.46/0.56 -> [455] ~big_q(skolem_X11212), ~big_q(skolem_U1010)
% 1.46/0.56 -> [456] big_q(skolem_X11212), big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [455] CLOSURE : ~big_q(skolem_U1010)
% 1.46/0.56
% 1.46/0.56 [456] : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [458] ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56
% 1.46/0.56 [458] GAMMA_NOT_EXISTS : ~? [X8_8] : (! [Y9_9] : ((big_p(X8_8) <=> big_p(Y9_9))))
% 1.46/0.56 -> [460] ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56
% 1.46/0.56 [460] DELTA_NOT_FORALL : ~! [Y9_9] : ((big_p(skolem_U11414) <=> big_p(Y9_9)))
% 1.46/0.56 -> [463] ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56
% 1.46/0.56 [463] BETA_NOT_EQUIV : ~(big_p(skolem_U11414) <=> big_p(skolem_Y99(skolem_U11414)))
% 1.46/0.56 -> [464] ~big_p(skolem_U11414), big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56 -> [465] big_p(skolem_U11414), ~big_p(skolem_Y99(skolem_U11414))
% 1.46/0.56
% 1.46/0.56 [464] CLOSURE : ~big_p(skolem_U11414)
% 1.46/0.56
% 1.46/0.56 [465] : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [466] ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56
% 1.46/0.56 [466] GAMMA_FORALL : ! [Y113_13] : ((big_q(skolem_X11212) <=> big_q(Y113_13)))
% 1.46/0.56 -> [467] (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56
% 1.46/0.56 [467] BETA_EQUIV : (big_q(skolem_X11212) <=> big_q(skolem_W1111))
% 1.46/0.56 -> [468] ~big_q(skolem_X11212), ~big_q(skolem_W1111)
% 1.46/0.56 -> [469] big_q(skolem_X11212), big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 [468] CLOSURE : ~big_q(skolem_X11212)
% 1.46/0.56
% 1.46/0.56 [469] CLOSURE : big_q(skolem_W1111)
% 1.46/0.56
% 1.46/0.56 % SZS output end Proof for theBenchmark.p
% 1.46/0.56 [0.218966s][1][Res] 1418 goroutines created
% 1.46/0.56 ==== Result ====
% 1.46/0.56 [0.219019s][1][Res] VALID
% 1.46/0.56 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------