TSTP Solution File: SYN323+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN323+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 22:22:58 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n026.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 02:47:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000034s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 3
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.34 % SZS output start Proof for theBenchmark.p
% 0.12/0.34 [0] GAMMA_NOT_EXISTS : ~? [Y2_2] : ((! [X3_3] : (((big_f(X3_3, Y2_2) => big_f(Y2_2, X3_3)) => big_g(X3_3, Y2_2))) => ~! [X4_4] : (((big_f(X4_4, Y2_2) => big_f(Y2_2, X4_4)) => ~big_g(X4_4, Y2_2)))))
% 0.12/0.34 -> [1] ~(! [X3_3] : (((big_f(X3_3, Y2_0_0) => big_f(Y2_0_0, X3_3)) => big_g(X3_3, Y2_0_0))) => ~! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0))))
% 0.12/0.34
% 0.12/0.34 [1] ALPHA_NOT_IMPLY : ~(! [X3_3] : (((big_f(X3_3, Y2_0_0) => big_f(Y2_0_0, X3_3)) => big_g(X3_3, Y2_0_0))) => ~! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0))))
% 0.12/0.34 -> [2] ! [X3_3] : (((big_f(X3_3, Y2_0_0) => big_f(Y2_0_0, X3_3)) => big_g(X3_3, Y2_0_0))), ~~! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0)))
% 0.12/0.34
% 0.12/0.34 [2] ALPHA_NOT_NOT : ~~! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0)))
% 0.12/0.34 -> [3] ! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0)))
% 0.12/0.34
% 0.12/0.34 [3] GAMMA_FORALL : ! [X3_3] : (((big_f(X3_3, Y2_0_0) => big_f(Y2_0_0, X3_3)) => big_g(X3_3, Y2_0_0)))
% 0.12/0.34 -> [4] ((big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0)) => big_g(Y2_0_0, Y2_0_0))
% 0.12/0.34
% 0.12/0.34 [4] BETA_IMPLY : ((big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0)) => big_g(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [5] ~(big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [6] big_g(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [5] ALPHA_NOT_IMPLY : ~(big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [7] big_f(Y2_0_0, Y2_0_0), ~big_f(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [7] CLOSURE : ~big_f(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [6] GAMMA_FORALL : ! [X4_4] : (((big_f(X4_4, Y2_0_0) => big_f(Y2_0_0, X4_4)) => ~big_g(X4_4, Y2_0_0)))
% 0.12/0.34 -> [8] ((big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0)) => ~big_g(Y2_0_0, Y2_0_0))
% 0.12/0.34
% 0.12/0.34 [8] BETA_IMPLY : ((big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0)) => ~big_g(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [9] ~(big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [10] ~big_g(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [9] ALPHA_NOT_IMPLY : ~(big_f(Y2_0_0, Y2_0_0) => big_f(Y2_0_0, Y2_0_0))
% 0.12/0.34 -> [11] big_f(Y2_0_0, Y2_0_0), ~big_f(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [11] CLOSURE : ~big_f(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 [10] CLOSURE : ~big_g(Y2_0_0, Y2_0_0)
% 0.12/0.34
% 0.12/0.34 % SZS output end Proof for theBenchmark.p
% 0.12/0.34 [0.010595s][1][Res] 10 goroutines created
% 0.12/0.34 ==== Result ====
% 0.12/0.34 [0.010627s][1][Res] VALID
% 0.12/0.34 % SZS status Theorem for theBenchmark.p
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