TSTP Solution File: SYN365+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n016.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 22:23:12 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n016.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 03:17:39 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 [0.000020s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 5
% 0.12/0.34 Launch Gotab with destructive = true
% 0.19/0.49 % SZS output start Proof for theBenchmark.p
% 0.19/0.49 [0] ALPHA_NOT_IMPLY : ~((! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4))))) & ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))) => ! [X6_6] : ((big_p(X6_6) => ? [Y7_7] : ((big_r(X6_6, Y7_7) & big_p(Y7_7))))))
% 0.19/0.49 -> [1] (! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4))))) & ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))), ~! [X6_6] : ((big_p(X6_6) => ? [Y7_7] : ((big_r(X6_6, Y7_7) & big_p(Y7_7)))))
% 0.19/0.49
% 0.19/0.49 [1] ALPHA_AND : (! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4))))) & ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5))))))
% 0.19/0.49 -> [2] ! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4))))), ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))
% 0.19/0.49
% 0.19/0.49 [2] DELTA_NOT_FORALL : ~! [X6_6] : ((big_p(X6_6) => ? [Y7_7] : ((big_r(X6_6, Y7_7) & big_p(Y7_7)))))
% 0.19/0.49 -> [3] ~(big_p(skolem_X66) => ? [Y7_7] : ((big_r(skolem_X66, Y7_7) & big_p(Y7_7))))
% 0.19/0.49
% 0.19/0.49 [3] ALPHA_NOT_IMPLY : ~(big_p(skolem_X66) => ? [Y7_7] : ((big_r(skolem_X66, Y7_7) & big_p(Y7_7))))
% 0.19/0.49 -> [4] big_p(skolem_X66), ~? [Y7_7] : ((big_r(skolem_X66, Y7_7) & big_p(Y7_7)))
% 0.19/0.49
% 0.19/0.49 [4] GAMMA_FORALL : ! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4)))))
% 0.19/0.49 -> [5] ? [Y4_4] : ((big_p(skolem_X66) => (big_r(skolem_X66, g(h(Y4_4))) & big_p(Y4_4))))
% 0.19/0.49
% 0.19/0.49 [5] DELTA_EXISTS : ? [Y4_4] : ((big_p(skolem_X66) => (big_r(skolem_X66, g(h(Y4_4))) & big_p(Y4_4))))
% 0.19/0.49 -> [6] (big_p(skolem_X66) => (big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & big_p(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [6] BETA_IMPLY : (big_p(skolem_X66) => (big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & big_p(skolem_Y44(skolem_X66))))
% 0.19/0.49 -> [7] ~big_p(skolem_X66)
% 0.19/0.49 -> [8] (big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & big_p(skolem_Y44(skolem_X66)))
% 0.19/0.49
% 0.19/0.49 [7] CLOSURE : ~big_p(skolem_X66)
% 0.19/0.49
% 0.19/0.49 [8] ALPHA_AND : (big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & big_p(skolem_Y44(skolem_X66)))
% 0.19/0.49 -> [9] big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))), big_p(skolem_Y44(skolem_X66))
% 0.19/0.49
% 0.19/0.49 [9] GAMMA_FORALL : ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))
% 0.19/0.49 -> [10] (big_p(skolem_Y44(skolem_X66)) => (big_p(g(skolem_Y44(skolem_X66))) & big_p(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49
% 0.19/0.49 [10] BETA_IMPLY : (big_p(skolem_Y44(skolem_X66)) => (big_p(g(skolem_Y44(skolem_X66))) & big_p(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49 -> [11] ~big_p(skolem_Y44(skolem_X66))
% 0.19/0.49 -> [12] (big_p(g(skolem_Y44(skolem_X66))) & big_p(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [11] CLOSURE : ~big_p(skolem_Y44(skolem_X66))
% 0.19/0.49
% 0.19/0.49 [14] BETA_NOT_AND : ~(big_r(skolem_X66, g(h(skolem_Y44(skolem_X66)))) & big_p(g(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49 -> [96] ~big_r(skolem_X66, g(h(skolem_Y44(skolem_X66))))
% 0.19/0.49 -> [97] ~big_p(g(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [96] CLOSURE : ~big_r(skolem_X66, g(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [97] : ! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4)))))
% 0.19/0.49 -> [98] ! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4)))))
% 0.19/0.49
% 0.19/0.49 [98] GAMMA_FORALL : ! [X3_3] : (? [Y4_4] : ((big_p(X3_3) => (big_r(X3_3, g(h(Y4_4))) & big_p(Y4_4)))))
% 0.19/0.49 -> [99] ? [Y4_4] : ((big_p(h(skolem_Y44(skolem_X66))) => (big_r(h(skolem_Y44(skolem_X66)), g(h(Y4_4))) & big_p(Y4_4))))
% 0.19/0.49
% 0.19/0.49 [99] DELTA_EXISTS : ? [Y4_4] : ((big_p(h(skolem_Y44(skolem_X66))) => (big_r(h(skolem_Y44(skolem_X66)), g(h(Y4_4))) & big_p(Y4_4))))
% 0.19/0.49 -> [100] (big_p(h(skolem_Y44(skolem_X66))) => (big_r(h(skolem_Y44(skolem_X66)), g(h(skolem_Y44(h(skolem_Y44(skolem_X66)))))) & big_p(skolem_Y44(h(skolem_Y44(skolem_X66))))))
% 0.19/0.49
% 0.19/0.49 [100] BETA_IMPLY : (big_p(h(skolem_Y44(skolem_X66))) => (big_r(h(skolem_Y44(skolem_X66)), g(h(skolem_Y44(h(skolem_Y44(skolem_X66)))))) & big_p(skolem_Y44(h(skolem_Y44(skolem_X66))))))
% 0.19/0.49 -> [101] ~big_p(h(skolem_Y44(skolem_X66)))
% 0.19/0.49 -> [102] (big_r(h(skolem_Y44(skolem_X66)), g(h(skolem_Y44(h(skolem_Y44(skolem_X66)))))) & big_p(skolem_Y44(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49
% 0.19/0.49 [101] CLOSURE : ~big_p(h(skolem_Y44(skolem_X66)))
% 0.19/0.49
% 0.19/0.49 [102] ALPHA_AND : (big_r(h(skolem_Y44(skolem_X66)), g(h(skolem_Y44(h(skolem_Y44(skolem_X66)))))) & big_p(skolem_Y44(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49 -> [103] big_r(h(skolem_Y44(skolem_X66)), g(h(skolem_Y44(h(skolem_Y44(skolem_X66)))))), big_p(skolem_Y44(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [103] ALPHA_AND : ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))
% 0.19/0.49 -> [104] ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))
% 0.19/0.49
% 0.19/0.49 [104] GAMMA_FORALL : ! [W5_5] : ((big_p(W5_5) => (big_p(g(W5_5)) & big_p(h(W5_5)))))
% 0.19/0.49 -> [105] (big_p(h(skolem_Y44(skolem_X66))) => (big_p(g(h(skolem_Y44(skolem_X66)))) & big_p(h(h(skolem_Y44(skolem_X66))))))
% 0.19/0.49
% 0.19/0.49 [105] BETA_IMPLY : (big_p(h(skolem_Y44(skolem_X66))) => (big_p(g(h(skolem_Y44(skolem_X66)))) & big_p(h(h(skolem_Y44(skolem_X66))))))
% 0.19/0.49 -> [106] ~big_p(h(skolem_Y44(skolem_X66)))
% 0.19/0.49 -> [107] (big_p(g(h(skolem_Y44(skolem_X66)))) & big_p(h(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49
% 0.19/0.49 [106] CLOSURE : ~big_p(h(skolem_Y44(skolem_X66)))
% 0.19/0.49
% 0.19/0.49 [107] ALPHA_AND : (big_p(g(h(skolem_Y44(skolem_X66)))) & big_p(h(h(skolem_Y44(skolem_X66)))))
% 0.19/0.49 -> [108] big_p(g(h(skolem_Y44(skolem_X66)))), big_p(h(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 [108] CLOSURE : big_p(g(h(skolem_Y44(skolem_X66))))
% 0.19/0.49
% 0.19/0.49 % SZS output end Proof for theBenchmark.p
% 0.19/0.49 [0.152902s][1][Res] 439 goroutines created
% 0.19/0.49 ==== Result ====
% 0.19/0.49 [0.152936s][1][Res] VALID
% 0.19/0.49 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------