TSTP Solution File: SYN318+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:22:56 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 02:16:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 3
% 0.12/0.35 Launch Gotab with destructive = true
% 0.19/0.38 % SZS output start Proof for theBenchmark.p
% 0.19/0.38 [0] GAMMA_NOT_EXISTS : ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38 -> [1] ~(! [X3_3] : ((big_f(X3_3) => (big_f(skolem_X44(Y2_2_0)) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0))))))
% 0.19/0.38
% 0.19/0.38 [1] ALPHA_NOT_IMPLY : ~(! [X3_3] : ((big_f(X3_3) => (big_f(skolem_X44(Y2_2_0)) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0))))))
% 0.19/0.38 -> [2] ! [X3_3] : ((big_f(X3_3) => (big_f(skolem_X44(Y2_2_0)) => big_g(X3_3)))), ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0)))))
% 0.19/0.38
% 0.19/0.38 [2] ALPHA_NOT_IMPLY : ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0)))))
% 0.19/0.38 -> [3] p, ~! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0))))
% 0.19/0.38
% 0.19/0.38 [3] DELTA_NOT_FORALL : ~! [X4_4] : ((big_f(X4_4) => big_g(skolem_X44(Y2_2_0))))
% 0.19/0.38 -> [4] ~(big_f(skolem_X44(skolem_X44(Y2_2_0))) => big_g(skolem_X44(Y2_2_0)))
% 0.19/0.38
% 0.19/0.38 [4] ALPHA_NOT_IMPLY : ~(big_f(skolem_X44(skolem_X44(Y2_2_0))) => big_g(skolem_X44(Y2_2_0)))
% 0.19/0.38 -> [5] big_f(skolem_X44(skolem_X44(Y2_2_0))), ~big_g(skolem_X44(Y2_2_0))
% 0.19/0.38
% 0.19/0.38 [5] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => (big_f(skolem_X44(Y2_2_0)) => big_g(X3_3))))
% 0.19/0.38 -> [6] (big_f(skolem_X44(skolem_X44(Y2_2_0))) => (big_f(skolem_X44(Y2_2_0)) => big_g(skolem_X44(skolem_X44(Y2_2_0)))))
% 0.19/0.38
% 0.19/0.38 [6] BETA_IMPLY : (big_f(skolem_X44(skolem_X44(Y2_2_0))) => (big_f(skolem_X44(Y2_2_0)) => big_g(skolem_X44(skolem_X44(Y2_2_0)))))
% 0.19/0.38 -> [7] ~big_f(skolem_X44(skolem_X44(Y2_2_0)))
% 0.19/0.38 -> [8] (big_f(skolem_X44(Y2_2_0)) => big_g(skolem_X44(skolem_X44(Y2_2_0))))
% 0.19/0.38
% 0.19/0.38 [7] CLOSURE : ~big_f(skolem_X44(skolem_X44(Y2_2_0)))
% 0.19/0.38
% 0.19/0.38 [8] BETA_IMPLY : (big_f(skolem_X44(Y2_2_0)) => big_g(skolem_X44(skolem_X44(Y2_2_0))))
% 0.19/0.38 -> [17] ~big_f(skolem_X44(Y2_2_0))
% 0.19/0.38 -> [18] big_g(skolem_X44(skolem_X44(Y2_2_0)))
% 0.19/0.38
% 0.19/0.38 [18] : ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38 -> [20] ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38
% 0.19/0.38 [20] GAMMA_NOT_EXISTS : ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38 -> [22] ~(! [X3_3] : ((big_f(X3_3) => (big_f(Y2_3_0) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0)))))
% 0.19/0.38
% 0.19/0.38 [22] ALPHA_NOT_IMPLY : ~(! [X3_3] : ((big_f(X3_3) => (big_f(Y2_3_0) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0)))))
% 0.19/0.38 -> [24] ! [X3_3] : ((big_f(X3_3) => (big_f(Y2_3_0) => big_g(X3_3)))), ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0))))
% 0.19/0.38
% 0.19/0.38 [24] ALPHA_NOT_IMPLY : ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0))))
% 0.19/0.38 -> [26] p, ~! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0)))
% 0.19/0.38
% 0.19/0.38 [26] DELTA_NOT_FORALL : ~! [X4_4] : ((big_f(X4_4) => big_g(Y2_3_0)))
% 0.19/0.38 -> [27] ~(big_f(skolem_X44(Y2_3_0)) => big_g(Y2_3_0))
% 0.19/0.38
% 0.19/0.38 [27] ALPHA_NOT_IMPLY : ~(big_f(skolem_X44(Y2_3_0)) => big_g(Y2_3_0))
% 0.19/0.38 -> [29] big_f(skolem_X44(Y2_3_0)), ~big_g(Y2_3_0)
% 0.19/0.38
% 0.19/0.38 [29] CLOSURE : ~big_g(Y2_3_0)
% 0.19/0.38
% 0.19/0.38 [17] : ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38 -> [19] ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38
% 0.19/0.38 [19] GAMMA_NOT_EXISTS : ~? [Y2_2] : ((! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2))))))
% 0.19/0.38 -> [21] ~(! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2_0) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0)))))
% 0.19/0.38
% 0.19/0.38 [21] ALPHA_NOT_IMPLY : ~(! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2_0) => big_g(X3_3)))) => (p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0)))))
% 0.19/0.38 -> [23] ! [X3_3] : ((big_f(X3_3) => (big_f(Y2_2_0) => big_g(X3_3)))), ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0))))
% 0.19/0.38
% 0.19/0.38 [23] ALPHA_NOT_IMPLY : ~(p => ! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0))))
% 0.19/0.38 -> [25] p, ~! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0)))
% 0.19/0.38
% 0.19/0.38 [25] DELTA_NOT_FORALL : ~! [X4_4] : ((big_f(X4_4) => big_g(Y2_2_0)))
% 0.19/0.38 -> [28] ~(big_f(skolem_X44(Y2_2_0)) => big_g(Y2_2_0))
% 0.19/0.38
% 0.19/0.38 [28] ALPHA_NOT_IMPLY : ~(big_f(skolem_X44(Y2_2_0)) => big_g(Y2_2_0))
% 0.19/0.38 -> [30] big_f(skolem_X44(Y2_2_0)), ~big_g(Y2_2_0)
% 0.19/0.38
% 0.19/0.38 [30] CLOSURE : big_f(skolem_X44(Y2_2_0))
% 0.19/0.38
% 0.19/0.38 % SZS output end Proof for theBenchmark.p
% 0.19/0.38 [0.035501s][1][Res] 80 goroutines created
% 0.19/0.38 ==== Result ====
% 0.19/0.38 [0.035536s][1][Res] VALID
% 0.19/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------