TSTP Solution File: SYN000+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 22:21:59 EDT 2022
% Result : Theorem 6.54s 1.28s
% Output : Proof 6.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n021.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 00:36:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000023s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Syntax error, line 94: syntax error
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 9
% 0.12/0.34 Launch Gotab with destructive = true
% 6.54/1.25 % SZS output start Proof for theBenchmark.p
% 6.54/1.27 [0] ALPHA_AND : (((p0 & ~q0) => (r0 | ~s0)) & ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))) & ? [Y6_6] : (! [X7_7, Z8_8] : (((=(f(Y6_6), g(X7_7, f(Y6_6), Z8_8)) | ~=(f(f(f(b))), a)) | =(X7_7, f(Y6_6))))) & ($true | $false) & ((((A proposition | A predicate(a)) | p(A constant)) | p(A function(a))) | p(A quoted ¸ escape)) & ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))) & ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))) & p(h) & (ia1 & ia2 & ia3) & ~? [X15_15] : (p(X15_15)))
% 6.54/1.27 -> [1] ((p0 & ~q0) => (r0 | ~s0)), ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))), ? [Y6_6] : (! [X7_7, Z8_8] : (((=(f(Y6_6), g(X7_7, f(Y6_6), Z8_8)) | ~=(f(f(f(b))), a)) | =(X7_7, f(Y6_6))))), ($true | $false), ((((A proposition | A predicate(a)) | p(A constant)) | p(A function(a))) | p(A quoted ¸ escape)), ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))), ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))), p(h), (ia1 & ia2 & ia3), ~? [X15_15] : (p(X15_15))
% 6.54/1.27
% 6.54/1.27 [1] ALPHA_AND : (ia1 & ia2 & ia3)
% 6.54/1.27 -> [2] ia1, ia2, ia3
% 6.54/1.27
% 6.54/1.27 [2] DELTA_EXISTS : ? [Y6_6] : (! [X7_7, Z8_8] : (((=(f(Y6_6), g(X7_7, f(Y6_6), Z8_8)) | ~=(f(f(f(b))), a)) | =(X7_7, f(Y6_6)))))
% 6.54/1.27 -> [3] ! [X7_7, Z8_8] : (((=(f(skolem_Y66), g(X7_7, f(skolem_Y66), Z8_8)) | ~=(f(f(f(b))), a)) | =(X7_7, f(skolem_Y66))))
% 6.54/1.27
% 6.54/1.27 [3] BETA_IMPLY : ((p0 & ~q0) => (r0 | ~s0))
% 6.54/1.27 -> [4] ~(p0 & ~q0)
% 6.54/1.27 -> [5] (r0 | ~s0)
% 6.54/1.27
% 6.54/1.27 [5] BETA_OR : ($true | $false)
% 6.54/1.27 -> [8] $true
% 6.54/1.27 -> [9] $false
% 6.54/1.27
% 6.54/1.27 [9] CLOSURE : $false
% 6.54/1.27
% 6.54/1.27 [8] BETA_OR : ((((A proposition | A predicate(a)) | p(A constant)) | p(A function(a))) | p(A quoted ¸ escape))
% 6.54/1.27 -> [10] (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.27 -> [11] p(A quoted ¸ escape)
% 6.54/1.27
% 6.54/1.27 [10] BETA_OR : (r0 | ~s0)
% 6.54/1.27 -> [12] r0
% 6.54/1.27 -> [13] ~s0
% 6.54/1.27
% 6.54/1.27 [13] BETA_OR : (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.27 -> [25] ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.27 -> [26] p(A function(a))
% 6.54/1.27
% 6.54/1.27 [25] BETA_OR : ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.27 -> [39] (A proposition | A predicate(a))
% 6.54/1.27 -> [40] p(A constant)
% 6.54/1.27
% 6.54/1.27 [40] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [119] ((p(A constant) | ~q(A constant, a)) => ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [119] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [124] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [125] ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [124] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [134] ~p(A constant), ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [134] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.27 -> [151] q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [151] CLOSURE : ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [125] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [128] (r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [128] ALPHA_AND : (r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [129] r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [129] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [528] ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [528] BETA_EQUIV : ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [529] ~(~q(A constant, a) => p(A constant)), ~? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [530] (~q(A constant, a) => p(A constant)), ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [529] ALPHA_NOT_IMPLY : ~(~q(A constant, a) => p(A constant))
% 6.54/1.27 -> [546] ~q(A constant, a), ~p(A constant)
% 6.54/1.27
% 6.54/1.27 [546] CLOSURE : ~p(A constant)
% 6.54/1.27
% 6.54/1.27 [530] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [536] ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [536] BETA_IMPLY : (~q(A constant, a) => p(A constant))
% 6.54/1.27 -> [537] ~~q(A constant, a)
% 6.54/1.27 -> [538] p(A constant)
% 6.54/1.27
% 6.54/1.27 [538] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [568] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [569] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [568] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [588] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [588] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [596] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [596] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [569] ALPHA_AND : (~r(X12_21_2, f(skolem_Y1010(X12_21_2)), g(X12_21_2, f(skolem_Y1010(X12_21_2)), skolem_Z1111(X12_21_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [573] ~r(X12_21_2, f(skolem_Y1010(X12_21_2)), g(X12_21_2, f(skolem_Y1010(X12_21_2)), skolem_Z1111(X12_21_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [573] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [608] ((p(X12_21_2) | ~q(X12_21_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_21_2, f(Y13_13), g(X12_21_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [608] BETA_IMPLY : ((p(X12_21_2) | ~q(X12_21_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_21_2, f(Y13_13), g(X12_21_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [609] ~(p(X12_21_2) | ~q(X12_21_2, a))
% 6.54/1.27 -> [610] ? [Y13_13, Z14_14] : ((r(X12_21_2, f(Y13_13), g(X12_21_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [609] ALPHA_NOT_OR : ~(p(X12_21_2) | ~q(X12_21_2, a))
% 6.54/1.27 -> [624] ~p(X12_21_2), ~~q(X12_21_2, a)
% 6.54/1.27
% 6.54/1.27 [624] ALPHA_NOT_NOT : ~~q(X12_21_2, a)
% 6.54/1.27 -> [637] q(X12_21_2, a)
% 6.54/1.27
% 6.54/1.27 [637] CLOSURE : ~~q(X12_21_2, a)
% 6.54/1.27
% 6.54/1.27 [610] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_21_2, f(Y13_13), g(X12_21_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [618] (r(X12_21_2, f(skolem_Y1313(X12_21_2)), g(X12_21_2, f(skolem_Y1313(X12_21_2)), skolem_Z1414(X12_21_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [618] ALPHA_AND : (r(X12_21_2, f(skolem_Y1313(X12_21_2)), g(X12_21_2, f(skolem_Y1313(X12_21_2)), skolem_Z1414(X12_21_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [619] r(X12_21_2, f(skolem_Y1313(X12_21_2)), g(X12_21_2, f(skolem_Y1313(X12_21_2)), skolem_Z1414(X12_21_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [619] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [644] ~p(X15_17_3)
% 6.54/1.27
% 6.54/1.27 [644] CLOSURE : ~p(X15_17_3)
% 6.54/1.27
% 6.54/1.27 [537] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.27 -> [552] q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [552] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [585] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [586] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [585] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [592] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [592] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [597] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [597] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [586] ALPHA_AND : (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [590] ~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [590] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [605] ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [605] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [606] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [607] ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [606] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [622] ~p(A constant), ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [622] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.27 -> [638] q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [638] CLOSURE : ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [607] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [613] (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [613] ALPHA_AND : (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [615] r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [615] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [646] ~p(X15_18_3)
% 6.54/1.27
% 6.54/1.27 [646] CLOSURE : ~p(X15_18_3)
% 6.54/1.27
% 6.54/1.27 [39] BETA_OR : (A proposition | A predicate(a))
% 6.54/1.27 -> [52] A proposition
% 6.54/1.27 -> [53] A predicate(a)
% 6.54/1.27
% 6.54/1.27 [52] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [196] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [196] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [200] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [201] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [200] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [219] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [219] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [472] q(h, a)
% 6.54/1.27
% 6.54/1.27 [472] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [201] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [204] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [204] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [206] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [206] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [262] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [262] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [264] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [265] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [264] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.27 -> [276] ~q(h, a), ~p(h)
% 6.54/1.27
% 6.54/1.27 [276] CLOSURE : ~p(h)
% 6.54/1.27
% 6.54/1.27 [265] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [271] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [271] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.27 -> [272] ~~q(h, a)
% 6.54/1.27 -> [273] p(h)
% 6.54/1.27
% 6.54/1.27 [272] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [284] q(h, a)
% 6.54/1.27
% 6.54/1.27 [284] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [311] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [312] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [311] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [328] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [328] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [363] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [363] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [312] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [319] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [319] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [373] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [373] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [374] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [375] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [375] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [376] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [376] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [377] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [377] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [403] ~p(X15_3_3)
% 6.54/1.27
% 6.54/1.27 [403] CLOSURE : ~p(X15_3_3)
% 6.54/1.27
% 6.54/1.27 [374] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [520] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [520] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [533] q(h, a)
% 6.54/1.27
% 6.54/1.27 [533] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [273] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [352] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [353] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [352] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [370] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [370] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [392] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [392] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [353] ALPHA_AND : (~r(X12_15_2, f(skolem_Y1010(X12_15_2)), g(X12_15_2, f(skolem_Y1010(X12_15_2)), skolem_Z1111(X12_15_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [357] ~r(X12_15_2, f(skolem_Y1010(X12_15_2)), g(X12_15_2, f(skolem_Y1010(X12_15_2)), skolem_Z1111(X12_15_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [357] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [523] ((p(X12_15_2) | ~q(X12_15_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_15_2, f(Y13_13), g(X12_15_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [523] BETA_IMPLY : ((p(X12_15_2) | ~q(X12_15_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_15_2, f(Y13_13), g(X12_15_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [524] ~(p(X12_15_2) | ~q(X12_15_2, a))
% 6.54/1.27 -> [525] ? [Y13_13, Z14_14] : ((r(X12_15_2, f(Y13_13), g(X12_15_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [524] ALPHA_NOT_OR : ~(p(X12_15_2) | ~q(X12_15_2, a))
% 6.54/1.27 -> [544] ~p(X12_15_2), ~~q(X12_15_2, a)
% 6.54/1.27
% 6.54/1.27 [544] ALPHA_NOT_NOT : ~~q(X12_15_2, a)
% 6.54/1.27 -> [557] q(X12_15_2, a)
% 6.54/1.27
% 6.54/1.27 [557] CLOSURE : ~~q(X12_15_2, a)
% 6.54/1.27
% 6.54/1.27 [525] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_15_2, f(Y13_13), g(X12_15_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [534] (r(X12_15_2, f(skolem_Y1313(X12_15_2)), g(X12_15_2, f(skolem_Y1313(X12_15_2)), skolem_Z1414(X12_15_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [534] ALPHA_AND : (r(X12_15_2, f(skolem_Y1313(X12_15_2)), g(X12_15_2, f(skolem_Y1313(X12_15_2)), skolem_Z1414(X12_15_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [535] r(X12_15_2, f(skolem_Y1313(X12_15_2)), g(X12_15_2, f(skolem_Y1313(X12_15_2)), skolem_Z1414(X12_15_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [535] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [562] ~p(X15_11_3)
% 6.54/1.27
% 6.54/1.27 [562] CLOSURE : ~p(X15_11_3)
% 6.54/1.27
% 6.54/1.27 [53] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [69] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [69] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [73] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [74] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [73] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [102] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [102] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [191] q(h, a)
% 6.54/1.27
% 6.54/1.27 [191] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [74] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [81] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [81] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [83] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [83] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [187] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [187] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [192] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [193] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [192] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.27 -> [223] ~q(h, a), ~p(h)
% 6.54/1.27
% 6.54/1.27 [223] CLOSURE : ~p(h)
% 6.54/1.27
% 6.54/1.27 [193] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [205] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [205] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.27 -> [207] ~~q(h, a)
% 6.54/1.27 -> [208] p(h)
% 6.54/1.27
% 6.54/1.27 [207] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [227] q(h, a)
% 6.54/1.27
% 6.54/1.27 [227] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [290] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [291] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [291] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [295] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [295] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [565] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [565] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [570] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [571] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [570] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [591] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [591] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [598] q(h, a)
% 6.54/1.27
% 6.54/1.27 [598] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [571] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [575] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [575] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [580] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [580] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [626] ~p(X15_13_3)
% 6.54/1.27
% 6.54/1.27 [626] CLOSURE : ~p(X15_13_3)
% 6.54/1.27
% 6.54/1.27 [290] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [303] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [303] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [648] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [648] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [208] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [500] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [501] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [500] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [510] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [510] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [714] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [714] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [501] ALPHA_AND : (~r(X12_32_2, f(skolem_Y1010(X12_32_2)), g(X12_32_2, f(skolem_Y1010(X12_32_2)), skolem_Z1111(X12_32_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [505] ~r(X12_32_2, f(skolem_Y1010(X12_32_2)), g(X12_32_2, f(skolem_Y1010(X12_32_2)), skolem_Z1111(X12_32_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [505] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [774] ((p(X12_32_2) | ~q(X12_32_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_32_2, f(Y13_13), g(X12_32_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [774] BETA_IMPLY : ((p(X12_32_2) | ~q(X12_32_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_32_2, f(Y13_13), g(X12_32_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [775] ~(p(X12_32_2) | ~q(X12_32_2, a))
% 6.54/1.27 -> [776] ? [Y13_13, Z14_14] : ((r(X12_32_2, f(Y13_13), g(X12_32_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [775] ALPHA_NOT_OR : ~(p(X12_32_2) | ~q(X12_32_2, a))
% 6.54/1.27 -> [778] ~p(X12_32_2), ~~q(X12_32_2, a)
% 6.54/1.27
% 6.54/1.27 [778] ALPHA_NOT_NOT : ~~q(X12_32_2, a)
% 6.54/1.27 -> [806] q(X12_32_2, a)
% 6.54/1.27
% 6.54/1.27 [806] CLOSURE : ~~q(X12_32_2, a)
% 6.54/1.27
% 6.54/1.27 [776] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_32_2, f(Y13_13), g(X12_32_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [785] (r(X12_32_2, f(skolem_Y1313(X12_32_2)), g(X12_32_2, f(skolem_Y1313(X12_32_2)), skolem_Z1414(X12_32_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [785] ALPHA_AND : (r(X12_32_2, f(skolem_Y1313(X12_32_2)), g(X12_32_2, f(skolem_Y1313(X12_32_2)), skolem_Z1414(X12_32_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [786] r(X12_32_2, f(skolem_Y1313(X12_32_2)), g(X12_32_2, f(skolem_Y1313(X12_32_2)), skolem_Z1414(X12_32_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [786] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [821] ~p(X15_30_3)
% 6.54/1.27
% 6.54/1.27 [821] CLOSURE : ~p(X15_30_3)
% 6.54/1.27
% 6.54/1.27 [26] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [43] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [43] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [46] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [47] ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [46] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [114] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [114] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [147] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [147] CLOSURE : ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [47] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [54] (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [54] ALPHA_AND : (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [60] r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [60] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [91] ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [91] BETA_EQUIV : ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [95] ~(~q(A function(a), a) => p(A function(a))), ~? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [96] (~q(A function(a), a) => p(A function(a))), ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [95] ALPHA_NOT_IMPLY : ~(~q(A function(a), a) => p(A function(a)))
% 6.54/1.27 -> [153] ~q(A function(a), a), ~p(A function(a))
% 6.54/1.27
% 6.54/1.27 [153] CLOSURE : ~p(A function(a))
% 6.54/1.27
% 6.54/1.27 [96] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [162] ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [162] BETA_IMPLY : (~q(A function(a), a) => p(A function(a)))
% 6.54/1.27 -> [165] ~~q(A function(a), a)
% 6.54/1.27 -> [166] p(A function(a))
% 6.54/1.27
% 6.54/1.27 [166] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [246] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [247] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [246] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [666] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [666] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [685] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [685] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [247] ALPHA_AND : (~r(X12_25_2, f(skolem_Y1010(X12_25_2)), g(X12_25_2, f(skolem_Y1010(X12_25_2)), skolem_Z1111(X12_25_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [662] ~r(X12_25_2, f(skolem_Y1010(X12_25_2)), g(X12_25_2, f(skolem_Y1010(X12_25_2)), skolem_Z1111(X12_25_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [662] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [682] ((p(X12_25_2) | ~q(X12_25_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_25_2, f(Y13_13), g(X12_25_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [682] BETA_IMPLY : ((p(X12_25_2) | ~q(X12_25_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_25_2, f(Y13_13), g(X12_25_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [683] ~(p(X12_25_2) | ~q(X12_25_2, a))
% 6.54/1.27 -> [684] ? [Y13_13, Z14_14] : ((r(X12_25_2, f(Y13_13), g(X12_25_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [683] ALPHA_NOT_OR : ~(p(X12_25_2) | ~q(X12_25_2, a))
% 6.54/1.27 -> [696] ~p(X12_25_2), ~~q(X12_25_2, a)
% 6.54/1.27
% 6.54/1.27 [696] ALPHA_NOT_NOT : ~~q(X12_25_2, a)
% 6.54/1.27 -> [713] q(X12_25_2, a)
% 6.54/1.27
% 6.54/1.27 [713] CLOSURE : ~~q(X12_25_2, a)
% 6.54/1.27
% 6.54/1.27 [684] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_25_2, f(Y13_13), g(X12_25_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [689] (r(X12_25_2, f(skolem_Y1313(X12_25_2)), g(X12_25_2, f(skolem_Y1313(X12_25_2)), skolem_Z1414(X12_25_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [689] ALPHA_AND : (r(X12_25_2, f(skolem_Y1313(X12_25_2)), g(X12_25_2, f(skolem_Y1313(X12_25_2)), skolem_Z1414(X12_25_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [690] r(X12_25_2, f(skolem_Y1313(X12_25_2)), g(X12_25_2, f(skolem_Y1313(X12_25_2)), skolem_Z1414(X12_25_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [690] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [709] ~p(X15_22_3)
% 6.54/1.27
% 6.54/1.27 [709] CLOSURE : ~p(X15_22_3)
% 6.54/1.27
% 6.54/1.27 [165] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [176] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [176] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [221] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [222] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [221] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [238] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [238] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [283] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [283] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [222] ALPHA_AND : (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [224] ~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [224] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [751] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [751] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [752] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [753] ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [752] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [779] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [779] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [790] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [790] CLOSURE : ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [753] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [755] (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [755] ALPHA_AND : (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [756] r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [756] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [831] ~p(X15_32_3)
% 6.54/1.27
% 6.54/1.27 [831] CLOSURE : ~p(X15_32_3)
% 6.54/1.27
% 6.54/1.27 [12] BETA_OR : (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.27 -> [21] ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.27 -> [22] p(A function(a))
% 6.54/1.27
% 6.54/1.27 [22] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [42] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [42] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [44] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [45] ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [44] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [51] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [51] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [152] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [152] CLOSURE : ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [45] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [50] (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [50] ALPHA_AND : (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [57] r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [57] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [174] ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [174] BETA_EQUIV : ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [177] ~(~q(A function(a), a) => p(A function(a))), ~? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [178] (~q(A function(a), a) => p(A function(a))), ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [177] ALPHA_NOT_IMPLY : ~(~q(A function(a), a) => p(A function(a)))
% 6.54/1.27 -> [186] ~q(A function(a), a), ~p(A function(a))
% 6.54/1.27
% 6.54/1.27 [186] CLOSURE : ~p(A function(a))
% 6.54/1.27
% 6.54/1.27 [178] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [190] ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [190] BETA_IMPLY : (~q(A function(a), a) => p(A function(a)))
% 6.54/1.27 -> [209] ~~q(A function(a), a)
% 6.54/1.27 -> [210] p(A function(a))
% 6.54/1.27
% 6.54/1.27 [210] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [253] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [254] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [253] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [275] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [275] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [307] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [307] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [254] ALPHA_AND : (~r(X12_2_2, f(skolem_Y1010(X12_2_2)), g(X12_2_2, f(skolem_Y1010(X12_2_2)), skolem_Z1111(X12_2_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [257] ~r(X12_2_2, f(skolem_Y1010(X12_2_2)), g(X12_2_2, f(skolem_Y1010(X12_2_2)), skolem_Z1111(X12_2_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [257] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [318] ((p(X12_2_2) | ~q(X12_2_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_2_2, f(Y13_13), g(X12_2_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [318] BETA_IMPLY : ((p(X12_2_2) | ~q(X12_2_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_2_2, f(Y13_13), g(X12_2_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [320] ~(p(X12_2_2) | ~q(X12_2_2, a))
% 6.54/1.27 -> [321] ? [Y13_13, Z14_14] : ((r(X12_2_2, f(Y13_13), g(X12_2_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [321] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_2_2, f(Y13_13), g(X12_2_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [325] (r(X12_2_2, f(skolem_Y1313(X12_2_2)), g(X12_2_2, f(skolem_Y1313(X12_2_2)), skolem_Z1414(X12_2_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [325] ALPHA_AND : (r(X12_2_2, f(skolem_Y1313(X12_2_2)), g(X12_2_2, f(skolem_Y1313(X12_2_2)), skolem_Z1414(X12_2_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [326] r(X12_2_2, f(skolem_Y1313(X12_2_2)), g(X12_2_2, f(skolem_Y1313(X12_2_2)), skolem_Z1414(X12_2_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [326] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [365] ~p(X15_1_3)
% 6.54/1.27
% 6.54/1.27 [365] CLOSURE : ~p(X15_1_3)
% 6.54/1.27
% 6.54/1.27 [320] ALPHA_NOT_OR : ~(p(X12_2_2) | ~q(X12_2_2, a))
% 6.54/1.27 -> [331] ~p(X12_2_2), ~~q(X12_2_2, a)
% 6.54/1.27
% 6.54/1.27 [331] ALPHA_NOT_NOT : ~~q(X12_2_2, a)
% 6.54/1.27 -> [366] q(X12_2_2, a)
% 6.54/1.27
% 6.54/1.27 [366] CLOSURE : ~~q(X12_2_2, a)
% 6.54/1.27
% 6.54/1.27 [209] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [225] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [225] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [660] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [661] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [660] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [665] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [665] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [705] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [705] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [661] ALPHA_AND : (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [663] ~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [663] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [723] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [723] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [724] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [725] ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [724] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.27 -> [734] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [734] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.27 -> [749] q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [749] CLOSURE : ~~q(A function(a), a)
% 6.54/1.27
% 6.54/1.27 [725] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [731] (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [731] ALPHA_AND : (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [732] r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [732] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [760] ~p(X15_24_3)
% 6.54/1.27
% 6.54/1.27 [760] CLOSURE : ~p(X15_24_3)
% 6.54/1.27
% 6.54/1.27 [21] BETA_OR : ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.27 -> [23] (A proposition | A predicate(a))
% 6.54/1.27 -> [24] p(A constant)
% 6.54/1.27
% 6.54/1.27 [24] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [70] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [70] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [76] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [77] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [76] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [122] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [122] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [297] q(h, a)
% 6.54/1.27
% 6.54/1.27 [297] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [77] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [136] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [136] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [138] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [138] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [539] ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [539] BETA_EQUIV : ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [542] ~(~q(A constant, a) => p(A constant)), ~? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [543] (~q(A constant, a) => p(A constant)), ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [542] ALPHA_NOT_IMPLY : ~(~q(A constant, a) => p(A constant))
% 6.54/1.27 -> [553] ~q(A constant, a), ~p(A constant)
% 6.54/1.27
% 6.54/1.27 [553] CLOSURE : ~p(A constant)
% 6.54/1.27
% 6.54/1.27 [543] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [549] ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [549] BETA_IMPLY : (~q(A constant, a) => p(A constant))
% 6.54/1.27 -> [550] ~~q(A constant, a)
% 6.54/1.27 -> [551] p(A constant)
% 6.54/1.27
% 6.54/1.27 [550] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.27 -> [554] q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [554] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [577] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [578] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [577] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [587] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [587] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [600] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [600] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [578] ALPHA_AND : (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [583] ~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [583] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [614] ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [614] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [616] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [617] ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [616] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.27 -> [625] ~p(A constant), ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [625] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.27 -> [639] q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [639] CLOSURE : ~~q(A constant, a)
% 6.54/1.27
% 6.54/1.27 [617] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [621] (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [621] ALPHA_AND : (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [623] r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [623] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [641] ~p(X15_14_3)
% 6.54/1.27
% 6.54/1.27 [641] CLOSURE : ~p(X15_14_3)
% 6.54/1.27
% 6.54/1.27 [551] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [558] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [559] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [558] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [563] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [563] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [620] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [620] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [559] ALPHA_AND : (~r(X12_19_2, f(skolem_Y1010(X12_19_2)), g(X12_19_2, f(skolem_Y1010(X12_19_2)), skolem_Z1111(X12_19_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [560] ~r(X12_19_2, f(skolem_Y1010(X12_19_2)), g(X12_19_2, f(skolem_Y1010(X12_19_2)), skolem_Z1111(X12_19_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [560] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [602] ((p(X12_19_2) | ~q(X12_19_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_19_2, f(Y13_13), g(X12_19_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [602] BETA_IMPLY : ((p(X12_19_2) | ~q(X12_19_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_19_2, f(Y13_13), g(X12_19_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [603] ~(p(X12_19_2) | ~q(X12_19_2, a))
% 6.54/1.27 -> [604] ? [Y13_13, Z14_14] : ((r(X12_19_2, f(Y13_13), g(X12_19_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [603] ALPHA_NOT_OR : ~(p(X12_19_2) | ~q(X12_19_2, a))
% 6.54/1.27 -> [627] ~p(X12_19_2), ~~q(X12_19_2, a)
% 6.54/1.27
% 6.54/1.27 [627] ALPHA_NOT_NOT : ~~q(X12_19_2, a)
% 6.54/1.27 -> [635] q(X12_19_2, a)
% 6.54/1.27
% 6.54/1.27 [635] CLOSURE : ~~q(X12_19_2, a)
% 6.54/1.27
% 6.54/1.27 [604] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_19_2, f(Y13_13), g(X12_19_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [611] (r(X12_19_2, f(skolem_Y1313(X12_19_2)), g(X12_19_2, f(skolem_Y1313(X12_19_2)), skolem_Z1414(X12_19_2))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [611] ALPHA_AND : (r(X12_19_2, f(skolem_Y1313(X12_19_2)), g(X12_19_2, f(skolem_Y1313(X12_19_2)), skolem_Z1414(X12_19_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [612] r(X12_19_2, f(skolem_Y1313(X12_19_2)), g(X12_19_2, f(skolem_Y1313(X12_19_2)), skolem_Z1414(X12_19_2))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [612] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [642] ~p(X15_15_3)
% 6.54/1.27
% 6.54/1.27 [642] CLOSURE : ~p(X15_15_3)
% 6.54/1.27
% 6.54/1.27 [23] BETA_OR : (A proposition | A predicate(a))
% 6.54/1.27 -> [37] A proposition
% 6.54/1.27 -> [38] A predicate(a)
% 6.54/1.27
% 6.54/1.27 [38] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [62] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [62] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [112] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [113] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [112] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [145] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [145] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [248] q(h, a)
% 6.54/1.27
% 6.54/1.27 [248] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [113] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [117] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [117] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [118] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [118] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.27 -> [332] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27
% 6.54/1.27 [332] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [333] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [334] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [334] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [336] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [336] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.27 -> [337] ~~q(h, a)
% 6.54/1.27 -> [338] p(h)
% 6.54/1.27
% 6.54/1.27 [337] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [358] q(h, a)
% 6.54/1.27
% 6.54/1.27 [358] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [378] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [379] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [378] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [393] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [393] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [402] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [402] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [379] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [383] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [383] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.27 -> [405] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27
% 6.54/1.27 [405] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.27 -> [406] ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [407] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27
% 6.54/1.27 [406] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.27 -> [416] ~p(h), ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [416] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.27 -> [428] q(h, a)
% 6.54/1.27
% 6.54/1.27 [428] CLOSURE : ~~q(h, a)
% 6.54/1.27
% 6.54/1.27 [407] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [408] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [408] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [409] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [409] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.27 -> [443] ~p(X15_4_3)
% 6.54/1.27
% 6.54/1.27 [443] CLOSURE : ~p(X15_4_3)
% 6.54/1.27
% 6.54/1.27 [338] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.27 -> [518] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [519] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.27
% 6.54/1.27 [518] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.27 -> [531] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [531] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.27 -> [556] s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [556] CLOSURE : s(f(f(f(b))))
% 6.54/1.27
% 6.54/1.27 [519] ALPHA_AND : (~r(X12_16_2, f(skolem_Y1010(X12_16_2)), g(X12_16_2, f(skolem_Y1010(X12_16_2)), skolem_Z1111(X12_16_2))) & ~s(f(f(f(b)))))
% 6.54/1.27 -> [521] ~r(X12_16_2, f(skolem_Y1010(X12_16_2)), g(X12_16_2, f(skolem_Y1010(X12_16_2)), skolem_Z1111(X12_16_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [521] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [564] ((p(X12_16_2) | ~q(X12_16_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_16_2, f(Y13_13), g(X12_16_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [564] BETA_IMPLY : ((p(X12_16_2) | ~q(X12_16_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_16_2, f(Y13_13), g(X12_16_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [566] ~(p(X12_16_2) | ~q(X12_16_2, a))
% 6.54/1.28 -> [567] ? [Y13_13, Z14_14] : ((r(X12_16_2, f(Y13_13), g(X12_16_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [566] ALPHA_NOT_OR : ~(p(X12_16_2) | ~q(X12_16_2, a))
% 6.54/1.28 -> [584] ~p(X12_16_2), ~~q(X12_16_2, a)
% 6.54/1.28
% 6.54/1.28 [584] ALPHA_NOT_NOT : ~~q(X12_16_2, a)
% 6.54/1.28 -> [599] q(X12_16_2, a)
% 6.54/1.28
% 6.54/1.28 [599] CLOSURE : ~~q(X12_16_2, a)
% 6.54/1.28
% 6.54/1.28 [567] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_16_2, f(Y13_13), g(X12_16_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [574] (r(X12_16_2, f(skolem_Y1313(X12_16_2)), g(X12_16_2, f(skolem_Y1313(X12_16_2)), skolem_Z1414(X12_16_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [574] ALPHA_AND : (r(X12_16_2, f(skolem_Y1313(X12_16_2)), g(X12_16_2, f(skolem_Y1313(X12_16_2)), skolem_Z1414(X12_16_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [579] r(X12_16_2, f(skolem_Y1313(X12_16_2)), g(X12_16_2, f(skolem_Y1313(X12_16_2)), skolem_Z1414(X12_16_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [579] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [601] ~p(X15_12_3)
% 6.54/1.28
% 6.54/1.28 [601] CLOSURE : ~p(X15_12_3)
% 6.54/1.28
% 6.54/1.28 [333] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [351] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [351] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [37] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [98] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [98] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [104] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [105] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [104] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [142] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [142] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [306] q(h, a)
% 6.54/1.28
% 6.54/1.28 [306] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [105] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [143] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [143] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [146] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [146] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [650] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [650] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [651] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [652] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [651] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [654] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [654] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [652] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [653] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [653] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.28 -> [655] ~~q(h, a)
% 6.54/1.28 -> [656] p(h)
% 6.54/1.28
% 6.54/1.28 [656] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [686] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [687] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [686] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [698] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [698] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [710] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [710] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [687] ALPHA_AND : (~r(X12_28_2, f(skolem_Y1010(X12_28_2)), g(X12_28_2, f(skolem_Y1010(X12_28_2)), skolem_Z1111(X12_28_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [691] ~r(X12_28_2, f(skolem_Y1010(X12_28_2)), g(X12_28_2, f(skolem_Y1010(X12_28_2)), skolem_Z1111(X12_28_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [691] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [726] ((p(X12_28_2) | ~q(X12_28_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_28_2, f(Y13_13), g(X12_28_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [726] BETA_IMPLY : ((p(X12_28_2) | ~q(X12_28_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_28_2, f(Y13_13), g(X12_28_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [728] ~(p(X12_28_2) | ~q(X12_28_2, a))
% 6.54/1.28 -> [729] ? [Y13_13, Z14_14] : ((r(X12_28_2, f(Y13_13), g(X12_28_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [728] ALPHA_NOT_OR : ~(p(X12_28_2) | ~q(X12_28_2, a))
% 6.54/1.28 -> [739] ~p(X12_28_2), ~~q(X12_28_2, a)
% 6.54/1.28
% 6.54/1.28 [739] ALPHA_NOT_NOT : ~~q(X12_28_2, a)
% 6.54/1.28 -> [761] q(X12_28_2, a)
% 6.54/1.28
% 6.54/1.28 [761] CLOSURE : ~~q(X12_28_2, a)
% 6.54/1.28
% 6.54/1.28 [729] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_28_2, f(Y13_13), g(X12_28_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [733] (r(X12_28_2, f(skolem_Y1313(X12_28_2)), g(X12_28_2, f(skolem_Y1313(X12_28_2)), skolem_Z1414(X12_28_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [733] ALPHA_AND : (r(X12_28_2, f(skolem_Y1313(X12_28_2)), g(X12_28_2, f(skolem_Y1313(X12_28_2)), skolem_Z1414(X12_28_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [735] r(X12_28_2, f(skolem_Y1313(X12_28_2)), g(X12_28_2, f(skolem_Y1313(X12_28_2)), skolem_Z1414(X12_28_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [735] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [768] ~p(X15_27_3)
% 6.54/1.28
% 6.54/1.28 [768] CLOSURE : ~p(X15_27_3)
% 6.54/1.28
% 6.54/1.28 [655] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [670] q(h, a)
% 6.54/1.28
% 6.54/1.28 [670] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [692] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [693] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [692] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [702] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [702] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [712] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [712] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [693] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [697] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [697] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [794] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [794] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [796] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [797] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [796] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [805] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [805] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [824] q(h, a)
% 6.54/1.28
% 6.54/1.28 [824] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [797] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [799] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [799] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [801] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [801] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [841] ~p(X15_34_3)
% 6.54/1.28
% 6.54/1.28 [841] CLOSURE : ~p(X15_34_3)
% 6.54/1.28
% 6.54/1.28 [11] BETA_OR : (r0 | ~s0)
% 6.54/1.28 -> [18] r0
% 6.54/1.28 -> [19] ~s0
% 6.54/1.28
% 6.54/1.28 [18] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [29] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [29] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [30] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [31] ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [30] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [35] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [35] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [67] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [67] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [31] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [36] (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [36] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [41] r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [41] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [75] ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [75] BETA_EQUIV : ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [78] ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ~? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [79] (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [78] ALPHA_NOT_IMPLY : ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [84] ~q(A quoted ¸ escape, a), ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [84] CLOSURE : ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [79] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [85] ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [85] BETA_IMPLY : (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [86] ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [87] p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [86] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [109] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [109] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [139] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [140] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [139] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [144] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [144] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [636] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [636] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [140] ALPHA_AND : (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [640] ~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [640] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [669] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [669] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [671] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [672] ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [671] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [680] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [680] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [708] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [708] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [672] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [676] (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [676] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [677] r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [677] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [717] ~p(X15_23_3)
% 6.54/1.28
% 6.54/1.28 [717] CLOSURE : ~p(X15_23_3)
% 6.54/1.28
% 6.54/1.28 [87] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [188] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [189] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [188] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [198] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [198] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [243] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [243] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [189] ALPHA_AND : (~r(X12_29_2, f(skolem_Y1010(X12_29_2)), g(X12_29_2, f(skolem_Y1010(X12_29_2)), skolem_Z1111(X12_29_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [213] ~r(X12_29_2, f(skolem_Y1010(X12_29_2)), g(X12_29_2, f(skolem_Y1010(X12_29_2)), skolem_Z1111(X12_29_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [213] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [742] ((p(X12_29_2) | ~q(X12_29_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_29_2, f(Y13_13), g(X12_29_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [742] BETA_IMPLY : ((p(X12_29_2) | ~q(X12_29_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_29_2, f(Y13_13), g(X12_29_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [743] ~(p(X12_29_2) | ~q(X12_29_2, a))
% 6.54/1.28 -> [744] ? [Y13_13, Z14_14] : ((r(X12_29_2, f(Y13_13), g(X12_29_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [744] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_29_2, f(Y13_13), g(X12_29_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [747] (r(X12_29_2, f(skolem_Y1313(X12_29_2)), g(X12_29_2, f(skolem_Y1313(X12_29_2)), skolem_Z1414(X12_29_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [747] ALPHA_AND : (r(X12_29_2, f(skolem_Y1313(X12_29_2)), g(X12_29_2, f(skolem_Y1313(X12_29_2)), skolem_Z1414(X12_29_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [748] r(X12_29_2, f(skolem_Y1313(X12_29_2)), g(X12_29_2, f(skolem_Y1313(X12_29_2)), skolem_Z1414(X12_29_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [748] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [812] ~p(X15_29_3)
% 6.54/1.28
% 6.54/1.28 [812] CLOSURE : ~p(X15_29_3)
% 6.54/1.28
% 6.54/1.28 [743] ALPHA_NOT_OR : ~(p(X12_29_2) | ~q(X12_29_2, a))
% 6.54/1.28 -> [759] ~p(X12_29_2), ~~q(X12_29_2, a)
% 6.54/1.28
% 6.54/1.28 [759] ALPHA_NOT_NOT : ~~q(X12_29_2, a)
% 6.54/1.28 -> [795] q(X12_29_2, a)
% 6.54/1.28
% 6.54/1.28 [795] CLOSURE : ~~q(X12_29_2, a)
% 6.54/1.28
% 6.54/1.28 [19] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [80] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [80] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [120] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [121] ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [120] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [141] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [141] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [158] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [158] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [121] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [130] (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [130] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [132] r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [132] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [773] ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [773] BETA_EQUIV : ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [780] ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ~? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [781] (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [780] ALPHA_NOT_IMPLY : ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [800] ~q(A quoted ¸ escape, a), ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [800] CLOSURE : ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [781] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [782] ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [782] BETA_IMPLY : (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [783] ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [784] p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [784] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [826] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [827] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [826] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [843] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [843] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [848] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [848] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [827] ALPHA_AND : (~r(X12_38_2, f(skolem_Y1010(X12_38_2)), g(X12_38_2, f(skolem_Y1010(X12_38_2)), skolem_Z1111(X12_38_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [830] ~r(X12_38_2, f(skolem_Y1010(X12_38_2)), g(X12_38_2, f(skolem_Y1010(X12_38_2)), skolem_Z1111(X12_38_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [830] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [850] ((p(X12_38_2) | ~q(X12_38_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_38_2, f(Y13_13), g(X12_38_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [850] BETA_IMPLY : ((p(X12_38_2) | ~q(X12_38_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_38_2, f(Y13_13), g(X12_38_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [851] ~(p(X12_38_2) | ~q(X12_38_2, a))
% 6.54/1.28 -> [852] ? [Y13_13, Z14_14] : ((r(X12_38_2, f(Y13_13), g(X12_38_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [851] ALPHA_NOT_OR : ~(p(X12_38_2) | ~q(X12_38_2, a))
% 6.54/1.28 -> [856] ~p(X12_38_2), ~~q(X12_38_2, a)
% 6.54/1.28
% 6.54/1.28 [856] ALPHA_NOT_NOT : ~~q(X12_38_2, a)
% 6.54/1.28 -> [862] q(X12_38_2, a)
% 6.54/1.28
% 6.54/1.28 [862] CLOSURE : ~~q(X12_38_2, a)
% 6.54/1.28
% 6.54/1.28 [852] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_38_2, f(Y13_13), g(X12_38_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [853] (r(X12_38_2, f(skolem_Y1313(X12_38_2)), g(X12_38_2, f(skolem_Y1313(X12_38_2)), skolem_Z1414(X12_38_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [853] ALPHA_AND : (r(X12_38_2, f(skolem_Y1313(X12_38_2)), g(X12_38_2, f(skolem_Y1313(X12_38_2)), skolem_Z1414(X12_38_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [854] r(X12_38_2, f(skolem_Y1313(X12_38_2)), g(X12_38_2, f(skolem_Y1313(X12_38_2)), skolem_Z1414(X12_38_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [854] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [866] ~p(X15_38_3)
% 6.54/1.28
% 6.54/1.28 [866] CLOSURE : ~p(X15_38_3)
% 6.54/1.28
% 6.54/1.28 [783] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [804] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [804] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [834] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [835] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [834] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [846] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [846] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [855] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [855] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [835] ALPHA_AND : (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [839] ~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [839] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [857] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [857] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [859] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [860] ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [859] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [861] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [861] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [865] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [865] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [860] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [863] (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [863] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [864] r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [864] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [867] ~p(X15_39_3)
% 6.54/1.28
% 6.54/1.28 [867] CLOSURE : ~p(X15_39_3)
% 6.54/1.28
% 6.54/1.28 [4] BETA_OR : ($true | $false)
% 6.54/1.28 -> [6] $true
% 6.54/1.28 -> [7] $false
% 6.54/1.28
% 6.54/1.28 [7] CLOSURE : $false
% 6.54/1.28
% 6.54/1.28 [6] BETA_OR : ((((A proposition | A predicate(a)) | p(A constant)) | p(A function(a))) | p(A quoted ¸ escape))
% 6.54/1.28 -> [14] (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.28 -> [15] p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [15] BETA_NOT_AND : ~(p0 & ~q0)
% 6.54/1.28 -> [27] ~p0
% 6.54/1.28 -> [28] ~~q0
% 6.54/1.28
% 6.54/1.28 [28] ALPHA_NOT_NOT : ~~q0
% 6.54/1.28 -> [34] q0
% 6.54/1.28
% 6.54/1.28 [34] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [49] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [49] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [58] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [59] ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [58] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [68] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [68] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [82] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [82] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [59] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [63] (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [63] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [135] r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [135] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [387] ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [387] BETA_EQUIV : ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [389] ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ~? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [390] (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [389] ALPHA_NOT_IMPLY : ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [398] ~q(A quoted ¸ escape, a), ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [398] CLOSURE : ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [390] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [395] ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [395] BETA_IMPLY : (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [396] ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [397] p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [396] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [400] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [400] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [413] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [414] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [413] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [423] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [423] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [442] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [442] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [414] ALPHA_AND : (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [419] ~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [419] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [451] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [451] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [452] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [453] ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [452] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [463] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [463] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [481] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [481] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [453] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [458] (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [458] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [459] r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [459] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [493] ~p(X15_7_3)
% 6.54/1.28
% 6.54/1.28 [493] CLOSURE : ~p(X15_7_3)
% 6.54/1.28
% 6.54/1.28 [397] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [410] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [411] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [410] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [422] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [422] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [441] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [441] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [411] ALPHA_AND : (~r(X12_10_2, f(skolem_Y1010(X12_10_2)), g(X12_10_2, f(skolem_Y1010(X12_10_2)), skolem_Z1111(X12_10_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [415] ~r(X12_10_2, f(skolem_Y1010(X12_10_2)), g(X12_10_2, f(skolem_Y1010(X12_10_2)), skolem_Z1111(X12_10_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [415] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [455] ((p(X12_10_2) | ~q(X12_10_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_10_2, f(Y13_13), g(X12_10_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [455] BETA_IMPLY : ((p(X12_10_2) | ~q(X12_10_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_10_2, f(Y13_13), g(X12_10_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [456] ~(p(X12_10_2) | ~q(X12_10_2, a))
% 6.54/1.28 -> [457] ? [Y13_13, Z14_14] : ((r(X12_10_2, f(Y13_13), g(X12_10_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [456] ALPHA_NOT_OR : ~(p(X12_10_2) | ~q(X12_10_2, a))
% 6.54/1.28 -> [474] ~p(X12_10_2), ~~q(X12_10_2, a)
% 6.54/1.28
% 6.54/1.28 [474] ALPHA_NOT_NOT : ~~q(X12_10_2, a)
% 6.54/1.28 -> [479] q(X12_10_2, a)
% 6.54/1.28
% 6.54/1.28 [479] CLOSURE : ~~q(X12_10_2, a)
% 6.54/1.28
% 6.54/1.28 [457] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_10_2, f(Y13_13), g(X12_10_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [461] (r(X12_10_2, f(skolem_Y1313(X12_10_2)), g(X12_10_2, f(skolem_Y1313(X12_10_2)), skolem_Z1414(X12_10_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [461] ALPHA_AND : (r(X12_10_2, f(skolem_Y1313(X12_10_2)), g(X12_10_2, f(skolem_Y1313(X12_10_2)), skolem_Z1414(X12_10_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [462] r(X12_10_2, f(skolem_Y1313(X12_10_2)), g(X12_10_2, f(skolem_Y1313(X12_10_2)), skolem_Z1414(X12_10_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [462] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [497] ~p(X15_9_3)
% 6.54/1.28
% 6.54/1.28 [497] CLOSURE : ~p(X15_9_3)
% 6.54/1.28
% 6.54/1.28 [27] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [48] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [48] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [55] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [56] ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [55] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [99] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [99] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [657] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [657] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [56] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A quoted ¸ escape, f(Y4_4), g(A quoted ¸ escape, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [61] (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [61] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [66] r(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y44(A quoted ¸ escape)), skolem_Z55(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [66] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [94] ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [94] BETA_EQUIV : ((~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)) <=> ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [228] ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ~? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [229] (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape)), ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [228] ALPHA_NOT_IMPLY : ~(~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [450] ~q(A quoted ¸ escape, a), ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [450] CLOSURE : ~p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [229] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(Y10_10), g(A quoted ¸ escape, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [233] ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [233] BETA_IMPLY : (~q(A quoted ¸ escape, a) => p(A quoted ¸ escape))
% 6.54/1.28 -> [235] ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [236] p(A quoted ¸ escape)
% 6.54/1.28
% 6.54/1.28 [236] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [417] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [418] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [417] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [424] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [424] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [446] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [446] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [418] ALPHA_AND : (~r(X12_11_2, f(skolem_Y1010(X12_11_2)), g(X12_11_2, f(skolem_Y1010(X12_11_2)), skolem_Z1111(X12_11_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [420] ~r(X12_11_2, f(skolem_Y1010(X12_11_2)), g(X12_11_2, f(skolem_Y1010(X12_11_2)), skolem_Z1111(X12_11_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [420] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [467] ((p(X12_11_2) | ~q(X12_11_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_11_2, f(Y13_13), g(X12_11_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [467] BETA_IMPLY : ((p(X12_11_2) | ~q(X12_11_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_11_2, f(Y13_13), g(X12_11_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [468] ~(p(X12_11_2) | ~q(X12_11_2, a))
% 6.54/1.28 -> [469] ? [Y13_13, Z14_14] : ((r(X12_11_2, f(Y13_13), g(X12_11_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [468] ALPHA_NOT_OR : ~(p(X12_11_2) | ~q(X12_11_2, a))
% 6.54/1.28 -> [480] ~p(X12_11_2), ~~q(X12_11_2, a)
% 6.54/1.28
% 6.54/1.28 [480] ALPHA_NOT_NOT : ~~q(X12_11_2, a)
% 6.54/1.28 -> [489] q(X12_11_2, a)
% 6.54/1.28
% 6.54/1.28 [489] CLOSURE : ~~q(X12_11_2, a)
% 6.54/1.28
% 6.54/1.28 [469] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_11_2, f(Y13_13), g(X12_11_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [471] (r(X12_11_2, f(skolem_Y1313(X12_11_2)), g(X12_11_2, f(skolem_Y1313(X12_11_2)), skolem_Z1414(X12_11_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [471] ALPHA_AND : (r(X12_11_2, f(skolem_Y1313(X12_11_2)), g(X12_11_2, f(skolem_Y1313(X12_11_2)), skolem_Z1414(X12_11_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [473] r(X12_11_2, f(skolem_Y1313(X12_11_2)), g(X12_11_2, f(skolem_Y1313(X12_11_2)), skolem_Z1414(X12_11_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [473] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [496] ~p(X15_8_3)
% 6.54/1.28
% 6.54/1.28 [496] CLOSURE : ~p(X15_8_3)
% 6.54/1.28
% 6.54/1.28 [235] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [404] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [404] BETA_OR : ((r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b))))) | (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [429] (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [430] (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [429] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [440] r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [440] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [470] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [470] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [430] ALPHA_AND : (~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [436] ~r(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1010(A quoted ¸ escape)), skolem_Z1111(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [436] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [485] ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [485] BETA_IMPLY : ((p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a)) => ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [486] ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [487] ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [486] ALPHA_NOT_OR : ~(p(A quoted ¸ escape) | ~q(A quoted ¸ escape, a))
% 6.54/1.28 -> [504] ~p(A quoted ¸ escape), ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [504] ALPHA_NOT_NOT : ~~q(A quoted ¸ escape, a)
% 6.54/1.28 -> [511] q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [511] CLOSURE : ~~q(A quoted ¸ escape, a)
% 6.54/1.28
% 6.54/1.28 [487] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A quoted ¸ escape, f(Y13_13), g(A quoted ¸ escape, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [492] (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [492] ALPHA_AND : (r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [494] r(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), g(A quoted ¸ escape, f(skolem_Y1313(A quoted ¸ escape)), skolem_Z1414(A quoted ¸ escape))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [494] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [707] ~p(X15_21_3)
% 6.54/1.28
% 6.54/1.28 [707] CLOSURE : ~p(X15_21_3)
% 6.54/1.28
% 6.54/1.28 [14] BETA_NOT_AND : ~(p0 & ~q0)
% 6.54/1.28 -> [16] ~p0
% 6.54/1.28 -> [17] ~~q0
% 6.54/1.28
% 6.54/1.28 [16] BETA_OR : (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.28 -> [32] ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.28 -> [33] p(A function(a))
% 6.54/1.28
% 6.54/1.28 [33] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [123] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [123] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [126] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [127] ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [126] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [137] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [137] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [154] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [154] CLOSURE : ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [127] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [131] (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [131] ALPHA_AND : (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [133] r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [133] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [175] ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [175] BETA_EQUIV : ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [180] ~(~q(A function(a), a) => p(A function(a))), ~? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [181] (~q(A function(a), a) => p(A function(a))), ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [180] ALPHA_NOT_IMPLY : ~(~q(A function(a), a) => p(A function(a)))
% 6.54/1.28 -> [194] ~q(A function(a), a), ~p(A function(a))
% 6.54/1.28
% 6.54/1.28 [194] CLOSURE : ~p(A function(a))
% 6.54/1.28
% 6.54/1.28 [181] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [199] ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [199] BETA_IMPLY : (~q(A function(a), a) => p(A function(a)))
% 6.54/1.28 -> [202] ~~q(A function(a), a)
% 6.54/1.28 -> [203] p(A function(a))
% 6.54/1.28
% 6.54/1.28 [202] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [220] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [220] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [255] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [256] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [255] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [278] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [278] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [310] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [310] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [256] ALPHA_AND : (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [259] ~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [259] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [313] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [313] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [316] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [317] ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [316] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [330] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [330] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [359] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [359] CLOSURE : ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [317] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [323] (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [323] ALPHA_AND : (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [324] r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [324] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [369] ~p(X15_2_3)
% 6.54/1.28
% 6.54/1.28 [369] CLOSURE : ~p(X15_2_3)
% 6.54/1.28
% 6.54/1.28 [203] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [249] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [250] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [249] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [258] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [258] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [277] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [277] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [250] ALPHA_AND : (~r(X12_0_2, f(skolem_Y1010(X12_0_2)), g(X12_0_2, f(skolem_Y1010(X12_0_2)), skolem_Z1111(X12_0_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [251] ~r(X12_0_2, f(skolem_Y1010(X12_0_2)), g(X12_0_2, f(skolem_Y1010(X12_0_2)), skolem_Z1111(X12_0_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [251] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [280] ((p(X12_0_2) | ~q(X12_0_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_0_2, f(Y13_13), g(X12_0_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [280] BETA_IMPLY : ((p(X12_0_2) | ~q(X12_0_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_0_2, f(Y13_13), g(X12_0_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [281] ~(p(X12_0_2) | ~q(X12_0_2, a))
% 6.54/1.28 -> [282] ? [Y13_13, Z14_14] : ((r(X12_0_2, f(Y13_13), g(X12_0_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [282] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_0_2, f(Y13_13), g(X12_0_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [289] (r(X12_0_2, f(skolem_Y1313(X12_0_2)), g(X12_0_2, f(skolem_Y1313(X12_0_2)), skolem_Z1414(X12_0_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [289] ALPHA_AND : (r(X12_0_2, f(skolem_Y1313(X12_0_2)), g(X12_0_2, f(skolem_Y1313(X12_0_2)), skolem_Z1414(X12_0_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [292] r(X12_0_2, f(skolem_Y1313(X12_0_2)), g(X12_0_2, f(skolem_Y1313(X12_0_2)), skolem_Z1414(X12_0_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [292] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [329] ~p(X15_0_3)
% 6.54/1.28
% 6.54/1.28 [329] CLOSURE : ~p(X15_0_3)
% 6.54/1.28
% 6.54/1.28 [281] ALPHA_NOT_OR : ~(p(X12_0_2) | ~q(X12_0_2, a))
% 6.54/1.28 -> [335] ~p(X12_0_2), ~~q(X12_0_2, a)
% 6.54/1.28
% 6.54/1.28 [335] ALPHA_NOT_NOT : ~~q(X12_0_2, a)
% 6.54/1.28 -> [372] q(X12_0_2, a)
% 6.54/1.28
% 6.54/1.28 [372] CLOSURE : ~~q(X12_0_2, a)
% 6.54/1.28
% 6.54/1.28 [32] BETA_OR : ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.28 -> [106] (A proposition | A predicate(a))
% 6.54/1.28 -> [107] p(A constant)
% 6.54/1.28
% 6.54/1.28 [107] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [167] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [167] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [168] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [169] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [168] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [182] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [182] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [241] q(h, a)
% 6.54/1.28
% 6.54/1.28 [241] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [169] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [179] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [179] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [183] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [183] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [239] ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [239] BETA_EQUIV : ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [244] ~(~q(A constant, a) => p(A constant)), ~? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [245] (~q(A constant, a) => p(A constant)), ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [244] ALPHA_NOT_IMPLY : ~(~q(A constant, a) => p(A constant))
% 6.54/1.28 -> [401] ~q(A constant, a), ~p(A constant)
% 6.54/1.28
% 6.54/1.28 [401] CLOSURE : ~p(A constant)
% 6.54/1.28
% 6.54/1.28 [245] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [447] ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [447] BETA_IMPLY : (~q(A constant, a) => p(A constant))
% 6.54/1.28 -> [448] ~~q(A constant, a)
% 6.54/1.28 -> [449] p(A constant)
% 6.54/1.28
% 6.54/1.28 [449] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [482] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [483] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [482] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [499] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [499] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [711] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [711] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [483] ALPHA_AND : (~r(X12_14_2, f(skolem_Y1010(X12_14_2)), g(X12_14_2, f(skolem_Y1010(X12_14_2)), skolem_Z1111(X12_14_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [484] ~r(X12_14_2, f(skolem_Y1010(X12_14_2)), g(X12_14_2, f(skolem_Y1010(X12_14_2)), skolem_Z1111(X12_14_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [484] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [515] ((p(X12_14_2) | ~q(X12_14_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_14_2, f(Y13_13), g(X12_14_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [515] BETA_IMPLY : ((p(X12_14_2) | ~q(X12_14_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_14_2, f(Y13_13), g(X12_14_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [516] ~(p(X12_14_2) | ~q(X12_14_2, a))
% 6.54/1.28 -> [517] ? [Y13_13, Z14_14] : ((r(X12_14_2, f(Y13_13), g(X12_14_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [517] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_14_2, f(Y13_13), g(X12_14_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [678] (r(X12_14_2, f(skolem_Y1313(X12_14_2)), g(X12_14_2, f(skolem_Y1313(X12_14_2)), skolem_Z1414(X12_14_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [678] ALPHA_AND : (r(X12_14_2, f(skolem_Y1313(X12_14_2)), g(X12_14_2, f(skolem_Y1313(X12_14_2)), skolem_Z1414(X12_14_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [679] r(X12_14_2, f(skolem_Y1313(X12_14_2)), g(X12_14_2, f(skolem_Y1313(X12_14_2)), skolem_Z1414(X12_14_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [679] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [762] ~p(X15_25_3)
% 6.54/1.28
% 6.54/1.28 [762] CLOSURE : ~p(X15_25_3)
% 6.54/1.28
% 6.54/1.28 [516] ALPHA_NOT_OR : ~(p(X12_14_2) | ~q(X12_14_2, a))
% 6.54/1.28 -> [688] ~p(X12_14_2), ~~q(X12_14_2, a)
% 6.54/1.28
% 6.54/1.28 [688] ALPHA_NOT_NOT : ~~q(X12_14_2, a)
% 6.54/1.28 -> [777] q(X12_14_2, a)
% 6.54/1.28
% 6.54/1.28 [777] CLOSURE : ~~q(X12_14_2, a)
% 6.54/1.28
% 6.54/1.28 [448] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.28 -> [460] q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [460] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [490] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [491] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [490] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [508] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [508] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [740] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [740] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [491] ALPHA_AND : (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [495] ~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [495] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [764] ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [764] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [765] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [766] ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [765] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [792] ~p(A constant), ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [792] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.28 -> [828] q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [828] CLOSURE : ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [766] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [770] (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [770] ALPHA_AND : (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [772] r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [772] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [823] ~p(X15_31_3)
% 6.54/1.28
% 6.54/1.28 [823] CLOSURE : ~p(X15_31_3)
% 6.54/1.28
% 6.54/1.28 [106] BETA_OR : (A proposition | A predicate(a))
% 6.54/1.28 -> [156] A proposition
% 6.54/1.28 -> [157] A predicate(a)
% 6.54/1.28
% 6.54/1.28 [156] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [171] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [171] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [172] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [173] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [172] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [197] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [197] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [226] q(h, a)
% 6.54/1.28
% 6.54/1.28 [226] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [173] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [184] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [184] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [185] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [185] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [285] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [285] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [286] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [287] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [286] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [339] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [339] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [287] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [296] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [296] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.28 -> [298] ~~q(h, a)
% 6.54/1.28 -> [299] p(h)
% 6.54/1.28
% 6.54/1.28 [299] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [314] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [315] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [314] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [327] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [327] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [356] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [356] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [315] ALPHA_AND : (~r(X12_4_2, f(skolem_Y1010(X12_4_2)), g(X12_4_2, f(skolem_Y1010(X12_4_2)), skolem_Z1111(X12_4_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [322] ~r(X12_4_2, f(skolem_Y1010(X12_4_2)), g(X12_4_2, f(skolem_Y1010(X12_4_2)), skolem_Z1111(X12_4_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [322] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [360] ((p(X12_4_2) | ~q(X12_4_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_4_2, f(Y13_13), g(X12_4_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [360] BETA_IMPLY : ((p(X12_4_2) | ~q(X12_4_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_4_2, f(Y13_13), g(X12_4_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [361] ~(p(X12_4_2) | ~q(X12_4_2, a))
% 6.54/1.28 -> [362] ? [Y13_13, Z14_14] : ((r(X12_4_2, f(Y13_13), g(X12_4_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [362] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_4_2, f(Y13_13), g(X12_4_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [364] (r(X12_4_2, f(skolem_Y1313(X12_4_2)), g(X12_4_2, f(skolem_Y1313(X12_4_2)), skolem_Z1414(X12_4_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [364] ALPHA_AND : (r(X12_4_2, f(skolem_Y1313(X12_4_2)), g(X12_4_2, f(skolem_Y1313(X12_4_2)), skolem_Z1414(X12_4_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [371] r(X12_4_2, f(skolem_Y1313(X12_4_2)), g(X12_4_2, f(skolem_Y1313(X12_4_2)), skolem_Z1414(X12_4_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [371] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [548] ~p(X15_10_3)
% 6.54/1.28
% 6.54/1.28 [548] CLOSURE : ~p(X15_10_3)
% 6.54/1.28
% 6.54/1.28 [361] ALPHA_NOT_OR : ~(p(X12_4_2) | ~q(X12_4_2, a))
% 6.54/1.28 -> [522] ~p(X12_4_2), ~~q(X12_4_2, a)
% 6.54/1.28
% 6.54/1.28 [522] ALPHA_NOT_NOT : ~~q(X12_4_2, a)
% 6.54/1.28 -> [561] q(X12_4_2, a)
% 6.54/1.28
% 6.54/1.28 [561] CLOSURE : ~~q(X12_4_2, a)
% 6.54/1.28
% 6.54/1.28 [298] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [302] q(h, a)
% 6.54/1.28
% 6.54/1.28 [302] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [526] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [527] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [526] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [547] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [547] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [572] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [572] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [527] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [532] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [532] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [576] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [576] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [581] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [582] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [581] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [589] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [589] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [593] q(h, a)
% 6.54/1.28
% 6.54/1.28 [593] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [582] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [594] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [594] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [595] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [595] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [643] ~p(X15_16_3)
% 6.54/1.28
% 6.54/1.28 [643] CLOSURE : ~p(X15_16_3)
% 6.54/1.28
% 6.54/1.28 [157] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [159] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [159] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [160] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [161] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [160] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [170] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [170] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [242] q(h, a)
% 6.54/1.28
% 6.54/1.28 [242] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [161] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [163] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [163] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [164] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [164] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [230] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [230] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [231] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [232] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [231] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [445] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [445] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [232] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [240] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [240] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.28 -> [513] ~~q(h, a)
% 6.54/1.28 -> [514] p(h)
% 6.54/1.28
% 6.54/1.28 [514] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [700] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [701] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [700] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [706] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [706] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [719] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [719] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [701] ALPHA_AND : (~r(X12_26_2, f(skolem_Y1010(X12_26_2)), g(X12_26_2, f(skolem_Y1010(X12_26_2)), skolem_Z1111(X12_26_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [703] ~r(X12_26_2, f(skolem_Y1010(X12_26_2)), g(X12_26_2, f(skolem_Y1010(X12_26_2)), skolem_Z1111(X12_26_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [703] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [720] ((p(X12_26_2) | ~q(X12_26_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_26_2, f(Y13_13), g(X12_26_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [720] BETA_IMPLY : ((p(X12_26_2) | ~q(X12_26_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_26_2, f(Y13_13), g(X12_26_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [721] ~(p(X12_26_2) | ~q(X12_26_2, a))
% 6.54/1.28 -> [722] ? [Y13_13, Z14_14] : ((r(X12_26_2, f(Y13_13), g(X12_26_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [722] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_26_2, f(Y13_13), g(X12_26_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [727] (r(X12_26_2, f(skolem_Y1313(X12_26_2)), g(X12_26_2, f(skolem_Y1313(X12_26_2)), skolem_Z1414(X12_26_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [727] ALPHA_AND : (r(X12_26_2, f(skolem_Y1313(X12_26_2)), g(X12_26_2, f(skolem_Y1313(X12_26_2)), skolem_Z1414(X12_26_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [730] r(X12_26_2, f(skolem_Y1313(X12_26_2)), g(X12_26_2, f(skolem_Y1313(X12_26_2)), skolem_Z1414(X12_26_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [730] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [769] ~p(X15_28_3)
% 6.54/1.28
% 6.54/1.28 [769] CLOSURE : ~p(X15_28_3)
% 6.54/1.28
% 6.54/1.28 [721] ALPHA_NOT_OR : ~(p(X12_26_2) | ~q(X12_26_2, a))
% 6.54/1.28 -> [736] ~p(X12_26_2), ~~q(X12_26_2, a)
% 6.54/1.28
% 6.54/1.28 [736] ALPHA_NOT_NOT : ~~q(X12_26_2, a)
% 6.54/1.28 -> [763] q(X12_26_2, a)
% 6.54/1.28
% 6.54/1.28 [763] CLOSURE : ~~q(X12_26_2, a)
% 6.54/1.28
% 6.54/1.28 [513] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [681] q(h, a)
% 6.54/1.28
% 6.54/1.28 [681] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [745] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [746] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [745] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [757] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [757] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [811] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [811] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [746] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [750] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [750] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [787] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [787] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [788] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [789] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [788] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [798] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [798] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [819] q(h, a)
% 6.54/1.28
% 6.54/1.28 [819] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [789] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [791] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [791] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [793] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [793] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [833] ~p(X15_33_3)
% 6.54/1.28
% 6.54/1.28 [833] CLOSURE : ~p(X15_33_3)
% 6.54/1.28
% 6.54/1.28 [17] ALPHA_NOT_NOT : ~~q0
% 6.54/1.28 -> [20] q0
% 6.54/1.28
% 6.54/1.28 [20] BETA_OR : (((A proposition | A predicate(a)) | p(A constant)) | p(A function(a)))
% 6.54/1.28 -> [64] ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.28 -> [65] p(A function(a))
% 6.54/1.28
% 6.54/1.28 [65] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [97] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [97] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [100] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [101] ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [100] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [111] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [111] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [155] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [155] CLOSURE : ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [101] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A function(a), f(Y4_4), g(A function(a), f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [108] (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [108] ALPHA_AND : (r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [110] r(A function(a), f(skolem_Y44(A function(a))), g(A function(a), f(skolem_Y44(A function(a))), skolem_Z55(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [110] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [148] ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [148] BETA_EQUIV : ((~q(A function(a), a) => p(A function(a))) <=> ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [149] ~(~q(A function(a), a) => p(A function(a))), ~? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [150] (~q(A function(a), a) => p(A function(a))), ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [149] ALPHA_NOT_IMPLY : ~(~q(A function(a), a) => p(A function(a)))
% 6.54/1.28 -> [382] ~q(A function(a), a), ~p(A function(a))
% 6.54/1.28
% 6.54/1.28 [382] CLOSURE : ~p(A function(a))
% 6.54/1.28
% 6.54/1.28 [150] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A function(a), f(Y10_10), g(A function(a), f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [214] ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [214] BETA_IMPLY : (~q(A function(a), a) => p(A function(a)))
% 6.54/1.28 -> [215] ~~q(A function(a), a)
% 6.54/1.28 -> [216] p(A function(a))
% 6.54/1.28
% 6.54/1.28 [215] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [234] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [234] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [260] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [261] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [260] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [274] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [274] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [309] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [309] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [261] ALPHA_AND : (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [268] ~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [268] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [343] ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [343] BETA_IMPLY : ((p(A function(a)) | ~q(A function(a), a)) => ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [345] ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [346] ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [345] ALPHA_NOT_OR : ~(p(A function(a)) | ~q(A function(a), a))
% 6.54/1.28 -> [354] ~p(A function(a)), ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [354] ALPHA_NOT_NOT : ~~q(A function(a), a)
% 6.54/1.28 -> [649] q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [649] CLOSURE : ~~q(A function(a), a)
% 6.54/1.28
% 6.54/1.28 [346] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A function(a), f(Y13_13), g(A function(a), f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [349] (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [349] ALPHA_AND : (r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [350] r(A function(a), f(skolem_Y1313(A function(a))), g(A function(a), f(skolem_Y1313(A function(a))), skolem_Z1414(A function(a)))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [350] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [695] ~p(X15_20_3)
% 6.54/1.28
% 6.54/1.28 [695] CLOSURE : ~p(X15_20_3)
% 6.54/1.28
% 6.54/1.28 [216] BETA_OR : ((r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b))))) | (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [464] (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [465] (~r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [464] ALPHA_AND : (r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [475] r(A function(a), f(skolem_Y1010(A function(a))), g(A function(a), f(skolem_Y1010(A function(a))), skolem_Z1111(A function(a)))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [475] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [488] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [488] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [465] ALPHA_AND : (~r(X12_13_2, f(skolem_Y1010(X12_13_2)), g(X12_13_2, f(skolem_Y1010(X12_13_2)), skolem_Z1111(X12_13_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [466] ~r(X12_13_2, f(skolem_Y1010(X12_13_2)), g(X12_13_2, f(skolem_Y1010(X12_13_2)), skolem_Z1111(X12_13_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [466] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [498] ((p(X12_13_2) | ~q(X12_13_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_13_2, f(Y13_13), g(X12_13_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [498] BETA_IMPLY : ((p(X12_13_2) | ~q(X12_13_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_13_2, f(Y13_13), g(X12_13_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [502] ~(p(X12_13_2) | ~q(X12_13_2, a))
% 6.54/1.28 -> [503] ? [Y13_13, Z14_14] : ((r(X12_13_2, f(Y13_13), g(X12_13_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [502] ALPHA_NOT_OR : ~(p(X12_13_2) | ~q(X12_13_2, a))
% 6.54/1.28 -> [509] ~p(X12_13_2), ~~q(X12_13_2, a)
% 6.54/1.28
% 6.54/1.28 [509] ALPHA_NOT_NOT : ~~q(X12_13_2, a)
% 6.54/1.28 -> [512] q(X12_13_2, a)
% 6.54/1.28
% 6.54/1.28 [512] CLOSURE : ~~q(X12_13_2, a)
% 6.54/1.28
% 6.54/1.28 [503] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_13_2, f(Y13_13), g(X12_13_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [506] (r(X12_13_2, f(skolem_Y1313(X12_13_2)), g(X12_13_2, f(skolem_Y1313(X12_13_2)), skolem_Z1414(X12_13_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [506] ALPHA_AND : (r(X12_13_2, f(skolem_Y1313(X12_13_2)), g(X12_13_2, f(skolem_Y1313(X12_13_2)), skolem_Z1414(X12_13_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [507] r(X12_13_2, f(skolem_Y1313(X12_13_2)), g(X12_13_2, f(skolem_Y1313(X12_13_2)), skolem_Z1414(X12_13_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [507] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [767] ~p(X15_26_3)
% 6.54/1.28
% 6.54/1.28 [767] CLOSURE : ~p(X15_26_3)
% 6.54/1.28
% 6.54/1.28 [64] BETA_OR : ((A proposition | A predicate(a)) | p(A constant))
% 6.54/1.28 -> [71] (A proposition | A predicate(a))
% 6.54/1.28 -> [72] p(A constant)
% 6.54/1.28
% 6.54/1.28 [71] BETA_OR : (A proposition | A predicate(a))
% 6.54/1.28 -> [115] A proposition
% 6.54/1.28 -> [116] A predicate(a)
% 6.54/1.28
% 6.54/1.28 [115] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [263] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [263] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [266] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [267] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [266] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [279] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [279] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [308] q(h, a)
% 6.54/1.28
% 6.54/1.28 [308] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [267] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [269] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [269] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [270] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [270] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [340] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [340] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [341] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [342] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [341] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [368] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [368] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [342] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [344] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [344] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.28 -> [347] ~~q(h, a)
% 6.54/1.28 -> [348] p(h)
% 6.54/1.28
% 6.54/1.28 [347] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [367] q(h, a)
% 6.54/1.28
% 6.54/1.28 [367] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [385] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [386] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [385] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [399] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [399] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [421] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [421] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [386] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [391] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [391] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [433] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [433] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [434] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [435] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [434] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [444] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [444] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [454] q(h, a)
% 6.54/1.28
% 6.54/1.28 [454] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [435] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [438] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [438] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [439] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [439] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [477] ~p(X15_5_3)
% 6.54/1.28
% 6.54/1.28 [477] CLOSURE : ~p(X15_5_3)
% 6.54/1.28
% 6.54/1.28 [348] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [380] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [381] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [380] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [394] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [394] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [412] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [412] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [381] ALPHA_AND : (~r(X12_7_2, f(skolem_Y1010(X12_7_2)), g(X12_7_2, f(skolem_Y1010(X12_7_2)), skolem_Z1111(X12_7_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [384] ~r(X12_7_2, f(skolem_Y1010(X12_7_2)), g(X12_7_2, f(skolem_Y1010(X12_7_2)), skolem_Z1111(X12_7_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [384] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [425] ((p(X12_7_2) | ~q(X12_7_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_7_2, f(Y13_13), g(X12_7_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [425] BETA_IMPLY : ((p(X12_7_2) | ~q(X12_7_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_7_2, f(Y13_13), g(X12_7_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [426] ~(p(X12_7_2) | ~q(X12_7_2, a))
% 6.54/1.28 -> [427] ? [Y13_13, Z14_14] : ((r(X12_7_2, f(Y13_13), g(X12_7_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [426] ALPHA_NOT_OR : ~(p(X12_7_2) | ~q(X12_7_2, a))
% 6.54/1.28 -> [437] ~p(X12_7_2), ~~q(X12_7_2, a)
% 6.54/1.28
% 6.54/1.28 [437] ALPHA_NOT_NOT : ~~q(X12_7_2, a)
% 6.54/1.28 -> [476] q(X12_7_2, a)
% 6.54/1.28
% 6.54/1.28 [476] CLOSURE : ~~q(X12_7_2, a)
% 6.54/1.28
% 6.54/1.28 [427] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_7_2, f(Y13_13), g(X12_7_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [431] (r(X12_7_2, f(skolem_Y1313(X12_7_2)), g(X12_7_2, f(skolem_Y1313(X12_7_2)), skolem_Z1414(X12_7_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [431] ALPHA_AND : (r(X12_7_2, f(skolem_Y1313(X12_7_2)), g(X12_7_2, f(skolem_Y1313(X12_7_2)), skolem_Z1414(X12_7_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [432] r(X12_7_2, f(skolem_Y1313(X12_7_2)), g(X12_7_2, f(skolem_Y1313(X12_7_2)), skolem_Z1414(X12_7_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [432] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [478] ~p(X15_6_3)
% 6.54/1.28
% 6.54/1.28 [478] CLOSURE : ~p(X15_6_3)
% 6.54/1.28
% 6.54/1.28 [116] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [195] ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [195] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [211] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [212] ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [211] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [237] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [237] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [252] q(h, a)
% 6.54/1.28
% 6.54/1.28 [252] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [212] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(h, f(Y4_4), g(h, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [217] (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [217] ALPHA_AND : (r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [218] r(h, f(skolem_Y44(h)), g(h, f(skolem_Y44(h)), skolem_Z55(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [218] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [288] ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [288] BETA_EQUIV : ((~q(h, a) => p(h)) <=> ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [293] ~(~q(h, a) => p(h)), ~? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [294] (~q(h, a) => p(h)), ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [293] ALPHA_NOT_IMPLY : ~(~q(h, a) => p(h))
% 6.54/1.28 -> [300] ~q(h, a), ~p(h)
% 6.54/1.28
% 6.54/1.28 [300] CLOSURE : ~p(h)
% 6.54/1.28
% 6.54/1.28 [294] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(h, f(Y10_10), g(h, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [301] ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [301] BETA_IMPLY : (~q(h, a) => p(h))
% 6.54/1.28 -> [304] ~~q(h, a)
% 6.54/1.28 -> [305] p(h)
% 6.54/1.28
% 6.54/1.28 [305] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [540] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [541] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [540] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [555] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [555] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [631] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [631] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [541] ALPHA_AND : (~r(X12_23_2, f(skolem_Y1010(X12_23_2)), g(X12_23_2, f(skolem_Y1010(X12_23_2)), skolem_Z1111(X12_23_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [545] ~r(X12_23_2, f(skolem_Y1010(X12_23_2)), g(X12_23_2, f(skolem_Y1010(X12_23_2)), skolem_Z1111(X12_23_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [545] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [628] ((p(X12_23_2) | ~q(X12_23_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_23_2, f(Y13_13), g(X12_23_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [628] BETA_IMPLY : ((p(X12_23_2) | ~q(X12_23_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_23_2, f(Y13_13), g(X12_23_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [629] ~(p(X12_23_2) | ~q(X12_23_2, a))
% 6.54/1.28 -> [630] ? [Y13_13, Z14_14] : ((r(X12_23_2, f(Y13_13), g(X12_23_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [629] ALPHA_NOT_OR : ~(p(X12_23_2) | ~q(X12_23_2, a))
% 6.54/1.28 -> [634] ~p(X12_23_2), ~~q(X12_23_2, a)
% 6.54/1.28
% 6.54/1.28 [634] ALPHA_NOT_NOT : ~~q(X12_23_2, a)
% 6.54/1.28 -> [645] q(X12_23_2, a)
% 6.54/1.28
% 6.54/1.28 [645] CLOSURE : ~~q(X12_23_2, a)
% 6.54/1.28
% 6.54/1.28 [630] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_23_2, f(Y13_13), g(X12_23_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [632] (r(X12_23_2, f(skolem_Y1313(X12_23_2)), g(X12_23_2, f(skolem_Y1313(X12_23_2)), skolem_Z1414(X12_23_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [632] ALPHA_AND : (r(X12_23_2, f(skolem_Y1313(X12_23_2)), g(X12_23_2, f(skolem_Y1313(X12_23_2)), skolem_Z1414(X12_23_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [633] r(X12_23_2, f(skolem_Y1313(X12_23_2)), g(X12_23_2, f(skolem_Y1313(X12_23_2)), skolem_Z1414(X12_23_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [633] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [647] ~p(X15_19_3)
% 6.54/1.28
% 6.54/1.28 [647] CLOSURE : ~p(X15_19_3)
% 6.54/1.28
% 6.54/1.28 [304] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [355] q(h, a)
% 6.54/1.28
% 6.54/1.28 [355] BETA_OR : ((r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b))))) | (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [658] (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [659] (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [658] ALPHA_AND : (r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [754] r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [754] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [802] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [802] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [659] ALPHA_AND : (~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [704] ~r(h, f(skolem_Y1010(h)), g(h, f(skolem_Y1010(h)), skolem_Z1111(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [704] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [808] ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [808] BETA_IMPLY : ((p(h) | ~q(h, a)) => ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [809] ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [810] ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [809] ALPHA_NOT_OR : ~(p(h) | ~q(h, a))
% 6.54/1.28 -> [822] ~p(h), ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [822] ALPHA_NOT_NOT : ~~q(h, a)
% 6.54/1.28 -> [832] q(h, a)
% 6.54/1.28
% 6.54/1.28 [832] CLOSURE : ~~q(h, a)
% 6.54/1.28
% 6.54/1.28 [810] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(h, f(Y13_13), g(h, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [813] (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [813] ALPHA_AND : (r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [814] r(h, f(skolem_Y1313(h)), g(h, f(skolem_Y1313(h)), skolem_Z1414(h))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [814] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [845] ~p(X15_35_3)
% 6.54/1.28
% 6.54/1.28 [845] CLOSURE : ~p(X15_35_3)
% 6.54/1.28
% 6.54/1.28 [72] GAMMA_FORALL : ! [X3_3] : (((p(X3_3) | ~q(X3_3, a)) => ? [Y4_4, Z5_5] : ((r(X3_3, f(Y4_4), g(X3_3, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [88] ((p(A constant) | ~q(A constant, a)) => ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [88] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [89] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [90] ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [89] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [103] ~p(A constant), ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [103] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.28 -> [388] q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [388] CLOSURE : ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [90] DELTA_EXISTS : ? [Y4_4, Z5_5] : ((r(A constant, f(Y4_4), g(A constant, f(Y4_4), Z5_5)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [92] (r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [92] ALPHA_AND : (r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [93] r(A constant, f(skolem_Y44(A constant)), g(A constant, f(skolem_Y44(A constant)), skolem_Z55(A constant))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [93] GAMMA_FORALL : ! [X9_9] : (((~q(X9_9, a) => p(X9_9)) <=> ? [Y10_10, Z11_11] : (((r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(X9_9, f(Y10_10), g(X9_9, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))))
% 6.54/1.28 -> [664] ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28
% 6.54/1.28 [664] BETA_EQUIV : ((~q(A constant, a) => p(A constant)) <=> ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [667] ~(~q(A constant, a) => p(A constant)), ~? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [668] (~q(A constant, a) => p(A constant)), ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [667] ALPHA_NOT_IMPLY : ~(~q(A constant, a) => p(A constant))
% 6.54/1.28 -> [694] ~q(A constant, a), ~p(A constant)
% 6.54/1.28
% 6.54/1.28 [694] CLOSURE : ~p(A constant)
% 6.54/1.28
% 6.54/1.28 [668] DELTA_EXISTS : ? [Y10_10, Z11_11] : (((r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~~s(f(f(f(b))))) | (~r(A constant, f(Y10_10), g(A constant, f(Y10_10), Z11_11)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [673] ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [673] BETA_IMPLY : (~q(A constant, a) => p(A constant))
% 6.54/1.28 -> [674] ~~q(A constant, a)
% 6.54/1.28 -> [675] p(A constant)
% 6.54/1.28
% 6.54/1.28 [675] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [715] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [716] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [715] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [758] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [758] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [807] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [807] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [716] ALPHA_AND : (~r(X12_36_2, f(skolem_Y1010(X12_36_2)), g(X12_36_2, f(skolem_Y1010(X12_36_2)), skolem_Z1111(X12_36_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [718] ~r(X12_36_2, f(skolem_Y1010(X12_36_2)), g(X12_36_2, f(skolem_Y1010(X12_36_2)), skolem_Z1111(X12_36_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [718] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [815] ((p(X12_36_2) | ~q(X12_36_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_36_2, f(Y13_13), g(X12_36_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [815] BETA_IMPLY : ((p(X12_36_2) | ~q(X12_36_2, a)) => ? [Y13_13, Z14_14] : ((r(X12_36_2, f(Y13_13), g(X12_36_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [816] ~(p(X12_36_2) | ~q(X12_36_2, a))
% 6.54/1.28 -> [817] ? [Y13_13, Z14_14] : ((r(X12_36_2, f(Y13_13), g(X12_36_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [816] ALPHA_NOT_OR : ~(p(X12_36_2) | ~q(X12_36_2, a))
% 6.54/1.28 -> [825] ~p(X12_36_2), ~~q(X12_36_2, a)
% 6.54/1.28
% 6.54/1.28 [825] ALPHA_NOT_NOT : ~~q(X12_36_2, a)
% 6.54/1.28 -> [829] q(X12_36_2, a)
% 6.54/1.28
% 6.54/1.28 [829] CLOSURE : ~~q(X12_36_2, a)
% 6.54/1.28
% 6.54/1.28 [817] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(X12_36_2, f(Y13_13), g(X12_36_2, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [818] (r(X12_36_2, f(skolem_Y1313(X12_36_2)), g(X12_36_2, f(skolem_Y1313(X12_36_2)), skolem_Z1414(X12_36_2))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [818] ALPHA_AND : (r(X12_36_2, f(skolem_Y1313(X12_36_2)), g(X12_36_2, f(skolem_Y1313(X12_36_2)), skolem_Z1414(X12_36_2))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [820] r(X12_36_2, f(skolem_Y1313(X12_36_2)), g(X12_36_2, f(skolem_Y1313(X12_36_2)), skolem_Z1414(X12_36_2))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [820] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [847] ~p(X15_36_3)
% 6.54/1.28
% 6.54/1.28 [847] CLOSURE : ~p(X15_36_3)
% 6.54/1.28
% 6.54/1.28 [674] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.28 -> [699] q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [699] BETA_OR : ((r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b))))) | (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [737] (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [738] (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [737] ALPHA_AND : (r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~~s(f(f(f(b)))))
% 6.54/1.28 -> [771] r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [771] ALPHA_NOT_NOT : ~~s(f(f(f(b))))
% 6.54/1.28 -> [803] s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [803] CLOSURE : s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [738] ALPHA_AND : (~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [741] ~r(A constant, f(skolem_Y1010(A constant)), g(A constant, f(skolem_Y1010(A constant)), skolem_Z1111(A constant))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [741] GAMMA_FORALL : ! [X12_12] : (((p(X12_12) | ~q(X12_12, a)) => ? [Y13_13, Z14_14] : ((r(X12_12, f(Y13_13), g(X12_12, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))))
% 6.54/1.28 -> [836] ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28
% 6.54/1.28 [836] BETA_IMPLY : ((p(A constant) | ~q(A constant, a)) => ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b)))))))
% 6.54/1.28 -> [837] ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [838] ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28
% 6.54/1.28 [837] ALPHA_NOT_OR : ~(p(A constant) | ~q(A constant, a))
% 6.54/1.28 -> [844] ~p(A constant), ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [844] ALPHA_NOT_NOT : ~~q(A constant, a)
% 6.54/1.28 -> [849] q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [849] CLOSURE : ~~q(A constant, a)
% 6.54/1.28
% 6.54/1.28 [838] DELTA_EXISTS : ? [Y13_13, Z14_14] : ((r(A constant, f(Y13_13), g(A constant, f(Y13_13), Z14_14)) & ~s(f(f(f(b))))))
% 6.54/1.28 -> [840] (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28
% 6.54/1.28 [840] ALPHA_AND : (r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))) & ~s(f(f(f(b)))))
% 6.54/1.28 -> [842] r(A constant, f(skolem_Y1313(A constant)), g(A constant, f(skolem_Y1313(A constant)), skolem_Z1414(A constant))), ~s(f(f(f(b))))
% 6.54/1.28
% 6.54/1.28 [842] GAMMA_NOT_EXISTS : ~? [X15_15] : (p(X15_15))
% 6.54/1.28 -> [858] ~p(X15_37_3)
% 6.54/1.28
% 6.54/1.28 [858] CLOSURE : ~p(X15_37_3)
% 6.54/1.28
% 6.54/1.28 % SZS output end Proof for theBenchmark.p
% 6.54/1.28 [0.939581s][1][Res] 6117 goroutines created
% 6.54/1.28 ==== Result ====
% 6.54/1.28 [0.939602s][1][Res] VALID
% 6.54/1.28 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------