TSTP Solution File: SYN082+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:22:22 EDT 2022
% Result : Theorem 0.20s 0.36s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n026.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 01:55:25 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 [0.000050s][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
% 0.20/0.36 % SZS output start Proof for theBenchmark.p
% 0.20/0.36 [0] DELTA_NOT_FORALL : ~! [X3_3] : ((big_f(X3_3, f(X3_3)) <=> ? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(X3_3)))) & big_f(X3_3, Y4_4)))))
% 0.20/0.36 -> [1] ~(big_f(skolem_X33, f(skolem_X33)) <=> ? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4))))
% 0.20/0.36
% 0.20/0.36 [1] BETA_NOT_EQUIV : ~(big_f(skolem_X33, f(skolem_X33)) <=> ? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4))))
% 0.20/0.36 -> [2] ~big_f(skolem_X33, f(skolem_X33)), ? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4)))
% 0.20/0.36 -> [3] big_f(skolem_X33, f(skolem_X33)), ~? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4)))
% 0.20/0.36
% 0.20/0.36 [2] DELTA_EXISTS : ? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4)))
% 0.20/0.36 -> [5] (! [Z5_5] : ((big_f(Z5_5, skolem_Y44) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, skolem_Y44))
% 0.20/0.36
% 0.20/0.36 [5] ALPHA_AND : (! [Z5_5] : ((big_f(Z5_5, skolem_Y44) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, skolem_Y44))
% 0.20/0.36 -> [8] ! [Z5_5] : ((big_f(Z5_5, skolem_Y44) => big_f(Z5_5, f(skolem_X33)))), big_f(skolem_X33, skolem_Y44)
% 0.20/0.36
% 0.20/0.36 [8] GAMMA_FORALL : ! [Z5_5] : ((big_f(Z5_5, skolem_Y44) => big_f(Z5_5, f(skolem_X33))))
% 0.20/0.36 -> [10] (big_f(skolem_X33, skolem_Y44) => big_f(skolem_X33, f(skolem_X33)))
% 0.20/0.36
% 0.20/0.36 [10] BETA_IMPLY : (big_f(skolem_X33, skolem_Y44) => big_f(skolem_X33, f(skolem_X33)))
% 0.20/0.36 -> [12] ~big_f(skolem_X33, skolem_Y44)
% 0.20/0.36 -> [13] big_f(skolem_X33, f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 [12] CLOSURE : ~big_f(skolem_X33, skolem_Y44)
% 0.20/0.36
% 0.20/0.36 [13] CLOSURE : big_f(skolem_X33, f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 [3] GAMMA_NOT_EXISTS : ~? [Y4_4] : ((! [Z5_5] : ((big_f(Z5_5, Y4_4) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, Y4_4)))
% 0.20/0.36 -> [4] ~(! [Z5_5] : ((big_f(Z5_5, f(skolem_X33)) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, f(skolem_X33)))
% 0.20/0.36
% 0.20/0.36 [4] BETA_NOT_AND : ~(! [Z5_5] : ((big_f(Z5_5, f(skolem_X33)) => big_f(Z5_5, f(skolem_X33)))) & big_f(skolem_X33, f(skolem_X33)))
% 0.20/0.36 -> [6] ~! [Z5_5] : ((big_f(Z5_5, f(skolem_X33)) => big_f(Z5_5, f(skolem_X33))))
% 0.20/0.36 -> [7] ~big_f(skolem_X33, f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 [7] CLOSURE : ~big_f(skolem_X33, f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 [6] DELTA_NOT_FORALL : ~! [Z5_5] : ((big_f(Z5_5, f(skolem_X33)) => big_f(Z5_5, f(skolem_X33))))
% 0.20/0.36 -> [9] ~(big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33)) => big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33)))
% 0.20/0.36
% 0.20/0.36 [9] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33)) => big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33)))
% 0.20/0.36 -> [11] big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33)), ~big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 [11] CLOSURE : ~big_f(skolem_Z55(f(skolem_X33)), f(skolem_X33))
% 0.20/0.36
% 0.20/0.36 % SZS output end Proof for theBenchmark.p
% 0.20/0.36 [0.015793s][1][Res] 9 goroutines created
% 0.20/0.36 ==== Result ====
% 0.20/0.36 [0.015848s][1][Res] VALID
% 0.20/0.36 % SZS status Theorem for theBenchmark.p
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