TSTP Solution File: SYN386+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n019.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 22:23:17 EDT 2022
% Result : Theorem 1.10s 1.01s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n019.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 03:04:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000053s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 15
% 0.12/0.35 Launch Gotab with destructive = true
% 1.10/1.01 % SZS output start Proof for theBenchmark.p
% 1.10/1.01 [0] ALPHA_NOT_IMPLY : ~(((! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))) & ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))) & ! [E16_16] : (? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, E16_16)))))))) => ? [Y22_22] : (! [E23_23] : (? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, Y22_22, E23_23)))))))))
% 1.10/1.01 -> [1] ((! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))) & ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))) & ! [E16_16] : (? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, E16_16)))))))), ~? [Y22_22] : (! [E23_23] : (? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, Y22_22, E23_23))))))))
% 1.10/1.01
% 1.10/1.01 [1] ALPHA_AND : ((! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))) & ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))) & ! [E16_16] : (? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, E16_16))))))))
% 1.10/1.01 -> [2] (! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))) & ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))), ! [E16_16] : (? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, E16_16)))))))
% 1.10/1.01
% 1.10/1.01 [2] ALPHA_AND : (! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))) & ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13)))))))
% 1.10/1.01 -> [3] ! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11))), ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))
% 1.10/1.01
% 1.10/1.01 [3] DELTA_EXISTS : ? [X12_12] : (! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, X12_12, E13_13))))))
% 1.10/1.01 -> [4] ! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, skolem_X1212, E13_13)))))
% 1.10/1.01
% 1.10/1.01 [4] GAMMA_NOT_EXISTS : ~? [Y22_22] : (! [E23_23] : (? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, Y22_22, E23_23))))))))
% 1.10/1.01 -> [5] ~! [E23_23] : (? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), E23_23)))))))
% 1.10/1.01
% 1.10/1.01 [5] DELTA_NOT_FORALL : ~! [E23_23] : (? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), E23_23)))))))
% 1.10/1.01 -> [6] ~? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))))))
% 1.10/1.01
% 1.10/1.01 [6] GAMMA_FORALL : ! [E16_16] : (? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, E16_16)))))))
% 1.10/1.01 -> [7] ? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212))))))))
% 1.10/1.01
% 1.10/1.01 [7] DELTA_EXISTS : ? [D17_17] : (! [A18_18, B19_19] : ((big_d(A18_18, B19_19, D17_17) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212))))))))
% 1.10/1.01 -> [8] ! [A18_18, B19_19] : ((big_d(A18_18, B19_19, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01
% 1.10/1.01 [8] GAMMA_FORALL : ! [X10_10] : (? [Y11_11] : (big_f(X10_10, Y11_11)))
% 1.10/1.01 -> [9] ? [Y11_11] : (big_f(skolem_X1212, Y11_11))
% 1.10/1.01
% 1.10/1.01 [9] DELTA_EXISTS : ? [Y11_11] : (big_f(skolem_X1212, Y11_11))
% 1.10/1.01 -> [10] big_f(skolem_X1212, skolem_Y1111(skolem_X1212))
% 1.10/1.01
% 1.10/1.01 [10] GAMMA_FORALL : ! [E13_13] : (? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, skolem_X1212, E13_13)))))
% 1.10/1.01 -> [11] ? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01
% 1.10/1.01 [11] DELTA_EXISTS : ? [N14_14] : (! [W15_15] : ((big_s(N14_14, W15_15) => big_d(W15_15, skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01 -> [12] ! [W15_15] : ((big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), W15_15) => big_d(W15_15, skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01
% 1.10/1.01 [12] GAMMA_NOT_EXISTS : ~? [M24_24] : (! [W25_25] : ((big_s(M24_24, W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))))))
% 1.10/1.01 -> [13] ~! [W25_25] : ((big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01
% 1.10/1.01 [13] DELTA_NOT_FORALL : ~! [W25_25] : ((big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), W25_25) => ! [Z26_26] : ((big_f(W25_25, Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01 -> [14] ~(big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => ! [Z26_26] : ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01
% 1.10/1.01 [14] ALPHA_NOT_IMPLY : ~(big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => ! [Z26_26] : ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01 -> [15] big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))), ~! [Z26_26] : ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01
% 1.10/1.01 [15] DELTA_NOT_FORALL : ~! [Z26_26] : ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Z26_26) => big_d(Z26_26, skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01 -> [16] ~(big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01
% 1.10/1.01 [16] ALPHA_NOT_IMPLY : ~(big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01 -> [17] big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))), ~big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 [17] GAMMA_FORALL : ! [A18_18, B19_19] : ((big_d(A18_18, B19_19, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))) => ! [Y20_20, Z21_21] : (((big_f(A18_18, Y20_20) & big_f(B19_19, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212)))))))
% 1.10/1.01 -> [18] (big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))) => ! [Y20_20, Z21_21] : (((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Y20_20) & big_f(skolem_X1212, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01
% 1.10/1.01 [18] BETA_IMPLY : (big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))) => ! [Y20_20, Z21_21] : (((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Y20_20) & big_f(skolem_X1212, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01 -> [19] ~big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01 -> [20] ! [Y20_20, Z21_21] : (((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Y20_20) & big_f(skolem_X1212, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01
% 1.10/1.01 [19] GAMMA_FORALL : ! [W15_15] : ((big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), W15_15) => big_d(W15_15, skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))))
% 1.10/1.01 -> [24] (big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01
% 1.10/1.01 [24] BETA_IMPLY : (big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01 -> [25] ~big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01 -> [26] big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01
% 1.10/1.01 [25] CLOSURE : ~big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 [26] CLOSURE : big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01
% 1.10/1.01 [21] BETA_IMPLY : (big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) => big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01 -> [112] ~big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01 -> [113] big_d(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_X1212, skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01
% 1.10/1.01 [113] GAMMA_FORALL : ! [Y20_20, Z21_21] : (((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), Y20_20) & big_f(skolem_X1212, Z21_21)) => big_d(Y20_20, Z21_21, skolem_E2323(skolem_Y1111(skolem_X1212)))))
% 1.10/1.01 -> [114] ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) & big_f(skolem_X1212, skolem_Y1111(skolem_X1212))) => big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01
% 1.10/1.01 [114] BETA_IMPLY : ((big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) & big_f(skolem_X1212, skolem_Y1111(skolem_X1212))) => big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212))))
% 1.10/1.01 -> [115] ~(big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) & big_f(skolem_X1212, skolem_Y1111(skolem_X1212)))
% 1.10/1.01 -> [116] big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 [115] BETA_NOT_AND : ~(big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212))) & big_f(skolem_X1212, skolem_Y1111(skolem_X1212)))
% 1.10/1.01 -> [117] ~big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01 -> [118] ~big_f(skolem_X1212, skolem_Y1111(skolem_X1212))
% 1.10/1.01
% 1.10/1.01 [118] CLOSURE : ~big_f(skolem_X1212, skolem_Y1111(skolem_X1212))
% 1.10/1.01
% 1.10/1.01 [117] CLOSURE : ~big_f(skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 [116] CLOSURE : big_d(skolem_Z2626(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)), skolem_Y1111(skolem_X1212), skolem_E2323(skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 [112] CLOSURE : ~big_s(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_W2525(skolem_N1414(skolem_D1717(skolem_E2323(skolem_Y1111(skolem_X1212)))), skolem_Y1111(skolem_X1212)))
% 1.10/1.01
% 1.10/1.01 % SZS output end Proof for theBenchmark.p
% 1.10/1.01 [0.664059s][1][Res] 892 goroutines created
% 1.10/1.01 ==== Result ====
% 1.10/1.01 [0.664098s][1][Res] VALID
% 1.10/1.01 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------