TSTP Solution File: SYN729+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.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 22:24:30 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Sep 5 06:50:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000029s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.33 Start search
% 0.11/0.33 nb_step : 1 - limit : 5
% 0.11/0.33 Launch Gotab with destructive = true
% 0.18/0.49 % SZS output start Proof for theBenchmark.p
% 0.18/0.50 [0] ALPHA_NOT_IMPLY : ~((! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4))))) & ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))) => ! [X6_6] : ((p(X6_6) => ? [Y7_7] : ((l(X6_6, Y7_7) & p(Y7_7))))))
% 0.18/0.50 -> [1] (! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4))))) & ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))), ~! [X6_6] : ((p(X6_6) => ? [Y7_7] : ((l(X6_6, Y7_7) & p(Y7_7)))))
% 0.18/0.50
% 0.18/0.50 [1] ALPHA_AND : (! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4))))) & ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5))))))
% 0.18/0.50 -> [2] ! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4))))), ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))
% 0.18/0.50
% 0.18/0.50 [2] DELTA_NOT_FORALL : ~! [X6_6] : ((p(X6_6) => ? [Y7_7] : ((l(X6_6, Y7_7) & p(Y7_7)))))
% 0.18/0.50 -> [3] ~(p(skolem_X66) => ? [Y7_7] : ((l(skolem_X66, Y7_7) & p(Y7_7))))
% 0.18/0.50
% 0.18/0.50 [3] ALPHA_NOT_IMPLY : ~(p(skolem_X66) => ? [Y7_7] : ((l(skolem_X66, Y7_7) & p(Y7_7))))
% 0.18/0.50 -> [4] p(skolem_X66), ~? [Y7_7] : ((l(skolem_X66, Y7_7) & p(Y7_7)))
% 0.18/0.50
% 0.18/0.50 [4] GAMMA_FORALL : ! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4)))))
% 0.18/0.50 -> [5] ? [Y4_4] : ((p(skolem_X66) => (l(skolem_X66, g(h(Y4_4))) & p(Y4_4))))
% 0.18/0.50
% 0.18/0.50 [5] DELTA_EXISTS : ? [Y4_4] : ((p(skolem_X66) => (l(skolem_X66, g(h(Y4_4))) & p(Y4_4))))
% 0.18/0.50 -> [6] (p(skolem_X66) => (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [6] BETA_IMPLY : (p(skolem_X66) => (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66))))
% 0.18/0.50 -> [7] ~p(skolem_X66)
% 0.18/0.50 -> [8] (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66)))
% 0.18/0.50
% 0.18/0.50 [7] CLOSURE : ~p(skolem_X66)
% 0.18/0.50
% 0.18/0.50 [8] ALPHA_AND : (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66)))
% 0.18/0.50 -> [9] l(skolem_X66, g(h(skolem_Y44(skolem_X66)))), p(skolem_Y44(skolem_X66))
% 0.18/0.50
% 0.18/0.50 [9] GAMMA_FORALL : ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))
% 0.18/0.50 -> [10] (p(skolem_Y44(skolem_X66)) => (p(g(skolem_Y44(skolem_X66))) & p(h(skolem_Y44(skolem_X66)))))
% 0.18/0.50
% 0.18/0.50 [10] BETA_IMPLY : (p(skolem_Y44(skolem_X66)) => (p(g(skolem_Y44(skolem_X66))) & p(h(skolem_Y44(skolem_X66)))))
% 0.18/0.50 -> [11] ~p(skolem_Y44(skolem_X66))
% 0.18/0.50 -> [12] (p(g(skolem_Y44(skolem_X66))) & p(h(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [11] CLOSURE : ~p(skolem_Y44(skolem_X66))
% 0.18/0.50
% 0.18/0.50 [14] BETA_NOT_AND : ~(l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(g(h(skolem_Y44(skolem_X66)))))
% 0.18/0.50 -> [85] ~l(skolem_X66, g(h(skolem_Y44(skolem_X66))))
% 0.18/0.50 -> [86] ~p(g(h(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [85] CLOSURE : ~l(skolem_X66, g(h(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [86] : ! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4)))))
% 0.18/0.50 -> [87] ! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4)))))
% 0.18/0.50
% 0.18/0.50 [87] GAMMA_FORALL : ! [X3_3] : (? [Y4_4] : ((p(X3_3) => (l(X3_3, g(h(Y4_4))) & p(Y4_4)))))
% 0.18/0.50 -> [88] ? [Y4_4] : ((p(skolem_X66) => (l(skolem_X66, g(h(Y4_4))) & p(Y4_4))))
% 0.18/0.50
% 0.18/0.50 [88] DELTA_EXISTS : ? [Y4_4] : ((p(skolem_X66) => (l(skolem_X66, g(h(Y4_4))) & p(Y4_4))))
% 0.18/0.50 -> [89] (p(skolem_X66) => (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [89] BETA_IMPLY : (p(skolem_X66) => (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66))))
% 0.18/0.50 -> [90] ~p(skolem_X66)
% 0.18/0.50 -> [91] (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66)))
% 0.18/0.50
% 0.18/0.50 [90] CLOSURE : ~p(skolem_X66)
% 0.18/0.50
% 0.18/0.50 [91] ALPHA_AND : (l(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & p(skolem_Y44(skolem_X66)))
% 0.18/0.50 -> [92] l(skolem_X66, g(h(skolem_Y44(skolem_X66)))), p(skolem_Y44(skolem_X66))
% 0.18/0.50
% 0.18/0.50 [92] ALPHA_AND : ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))
% 0.18/0.50 -> [93] ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))
% 0.18/0.50
% 0.18/0.50 [93] GAMMA_FORALL : ! [W5_5] : ((p(W5_5) => (p(g(W5_5)) & p(h(W5_5)))))
% 0.18/0.50 -> [94] (p(h(skolem_Y44(skolem_X66))) => (p(g(h(skolem_Y44(skolem_X66)))) & p(h(h(skolem_Y44(skolem_X66))))))
% 0.18/0.50
% 0.18/0.50 [94] BETA_IMPLY : (p(h(skolem_Y44(skolem_X66))) => (p(g(h(skolem_Y44(skolem_X66)))) & p(h(h(skolem_Y44(skolem_X66))))))
% 0.18/0.50 -> [95] ~p(h(skolem_Y44(skolem_X66)))
% 0.18/0.50 -> [96] (p(g(h(skolem_Y44(skolem_X66)))) & p(h(h(skolem_Y44(skolem_X66)))))
% 0.18/0.50
% 0.18/0.50 [95] CLOSURE : ~p(h(skolem_Y44(skolem_X66)))
% 0.18/0.50
% 0.18/0.50 [96] ALPHA_AND : (p(g(h(skolem_Y44(skolem_X66)))) & p(h(h(skolem_Y44(skolem_X66)))))
% 0.18/0.50 -> [97] p(g(h(skolem_Y44(skolem_X66)))), p(h(h(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 [97] CLOSURE : p(g(h(skolem_Y44(skolem_X66))))
% 0.18/0.50
% 0.18/0.50 % SZS output end Proof for theBenchmark.p
% 0.18/0.50 [0.166099s][1][Res] 403 goroutines created
% 0.18/0.50 ==== Result ====
% 0.18/0.50 [0.166136s][1][Res] VALID
% 0.18/0.50 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------