TSTP Solution File: SYN347+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 22:23:06 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 03:07:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 3
% 0.13/0.35 Launch Gotab with destructive = true
% 0.20/0.44 % SZS output start Proof for theBenchmark.p
% 0.20/0.44 [0] DELTA_NOT_FORALL : ~! [Z15_5, Z26_6] : (? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(Z15_5, Z26_6)) | (big_f(Z15_5, Y9_9) <=> big_f(Z26_6, Y9_9))))))
% 0.20/0.44 -> [1] ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44
% 0.20/0.44 [1] GAMMA_NOT_EXISTS : ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44 -> [2] ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z155, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44
% 0.20/0.44 [2] DELTA_NOT_FORALL : ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z155, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44 -> [3] ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))))
% 0.20/0.44
% 0.20/0.44 [3] ALPHA_NOT_OR : ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))))
% 0.20/0.44 -> [4] ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))) <=> big_f(skolem_Z155, skolem_Z266)), ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44
% 0.20/0.44 [4] BETA_NOT_EQUIV : ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))) <=> big_f(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [5] ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))), big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44 -> [6] (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))), ~big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44
% 0.20/0.44 [5] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [7] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [8] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [8] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [11] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [12] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [12] CLOSURE : ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [11] CLOSURE : big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [7] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [13] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [14] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [14] CLOSURE : ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [13] CLOSURE : big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [6] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [19] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [20] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [19] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [21] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [22] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [22] CLOSURE : big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [21] : ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44 -> [25] ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44
% 0.20/0.44 [25] GAMMA_NOT_EXISTS : ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44 -> [27] ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44
% 0.20/0.44 [27] DELTA_NOT_FORALL : ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44 -> [29] ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))))
% 0.20/0.44
% 0.20/0.44 [29] ALPHA_NOT_OR : ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))))
% 0.20/0.44 -> [31] ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)), ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44
% 0.20/0.44 [31] BETA_NOT_EQUIV : ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [33] ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))), big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44 -> [34] (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))), ~big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44
% 0.20/0.44 [33] CLOSURE : big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44
% 0.20/0.44 [34] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [37] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [38] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [37] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [41] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [42] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [42] CLOSURE : big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [41] CLOSURE : ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [38] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [43] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [44] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [44] CLOSURE : big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [43] CLOSURE : ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [20] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)) <=> big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155)))
% 0.20/0.44 -> [51] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44 -> [52] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [51] CLOSURE : ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z155))
% 0.20/0.44
% 0.20/0.44 [52] : ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44 -> [53] ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44
% 0.20/0.44 [53] GAMMA_NOT_EXISTS : ~? [X17_7, X28_8] : (! [Y9_9] : ((((big_f(X17_7, Y9_9) <=> big_f(X28_8, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)))))
% 0.20/0.44 -> [54] ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44
% 0.20/0.44 [54] DELTA_NOT_FORALL : ~! [Y9_9] : ((((big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9)) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, Y9_9) <=> big_f(skolem_Z266, Y9_9))))
% 0.20/0.44 -> [55] ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))))
% 0.20/0.44
% 0.20/0.44 [55] ALPHA_NOT_OR : ~(((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)) | (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))))
% 0.20/0.44 -> [56] ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266)), ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44
% 0.20/0.44 [56] BETA_NOT_EQUIV : ~((big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))) <=> big_f(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [57] ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))), big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44 -> [58] (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))), ~big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44
% 0.20/0.44 [57] CLOSURE : big_f(skolem_Z155, skolem_Z266)
% 0.20/0.44
% 0.20/0.44 [58] BETA_NOT_EQUIV : ~(big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [59] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [60] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [59] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [61] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [62] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [62] CLOSURE : big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [61] CLOSURE : ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [60] BETA_EQUIV : (big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)) <=> big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266)))
% 0.20/0.44 -> [63] ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), ~big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44 -> [64] big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266)), big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [64] CLOSURE : big_f(skolem_Z266, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 [63] CLOSURE : ~big_f(skolem_Z155, skolem_Y99(skolem_Z155, skolem_Z266))
% 0.20/0.44
% 0.20/0.44 % SZS output end Proof for theBenchmark.p
% 0.20/0.44 [0.094143s][1][Res] 304 goroutines created
% 0.20/0.44 ==== Result ====
% 0.20/0.44 [0.094180s][1][Res] VALID
% 0.20/0.44 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------