TSTP Solution File: SYN066+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n015.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 22:22:17 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
% 0.00/0.12 % Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 01:43:27 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 [0.000025s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 11
% 0.12/0.34 Launch Gotab with destructive = true
% 0.19/0.37 % SZS output start Proof for theBenchmark.p
% 0.19/0.38 [0] ALPHA_AND : (! [Z5_5] : (? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_5) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_5)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))) & ! [X10_10, Z11_11] : ((~big_p(X10_10, Z11_11) => ? [Y12_12] : (big_q(Y12_12, Z11_11)))) & (? [X13_13, Y14_14] : (big_q(X13_13, Y14_14)) => ! [Z15_15] : (big_r(Z15_15, Z15_15))) & ~! [X16_16] : (? [Y17_17] : (big_r(X16_16, Y17_17))))
% 0.19/0.38 -> [1] ! [Z5_5] : (? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_5) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_5)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))), ! [X10_10, Z11_11] : ((~big_p(X10_10, Z11_11) => ? [Y12_12] : (big_q(Y12_12, Z11_11)))), (? [X13_13, Y14_14] : (big_q(X13_13, Y14_14)) => ! [Z15_15] : (big_r(Z15_15, Z15_15))), ~! [X16_16] : (? [Y17_17] : (big_r(X16_16, Y17_17)))
% 0.19/0.38
% 0.19/0.38 [1] DELTA_NOT_FORALL : ~! [X16_16] : (? [Y17_17] : (big_r(X16_16, Y17_17)))
% 0.19/0.38 -> [2] ~? [Y17_17] : (big_r(skolem_X1616, Y17_17))
% 0.19/0.38
% 0.19/0.38 [2] BETA_IMPLY : (? [X13_13, Y14_14] : (big_q(X13_13, Y14_14)) => ! [Z15_15] : (big_r(Z15_15, Z15_15)))
% 0.19/0.38 -> [3] ~? [X13_13, Y14_14] : (big_q(X13_13, Y14_14))
% 0.19/0.38 -> [4] ! [Z15_15] : (big_r(Z15_15, Z15_15))
% 0.19/0.38
% 0.19/0.38 [4] GAMMA_FORALL : ! [Z5_5] : (? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_5) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_5)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6))))))))
% 0.19/0.38 -> [5] ? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_0_0) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_0_0)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))
% 0.19/0.38
% 0.19/0.38 [5] DELTA_EXISTS : ? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_0_0) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_0_0)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))
% 0.19/0.38 -> [7] ! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_0_0) => big_p(Y8_8, skolem_W66(Z5_0_0))) & big_p(Y8_8, Z5_0_0)) & (big_p(Y8_8, skolem_W66(Z5_0_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_0_0)))))))
% 0.19/0.38
% 0.19/0.38 [7] GAMMA_FORALL : ! [X10_10, Z11_11] : ((~big_p(X10_10, Z11_11) => ? [Y12_12] : (big_q(Y12_12, Z11_11))))
% 0.19/0.38 -> [8] (~big_p(X10_0_1, Z11_0_1) => ? [Y12_12] : (big_q(Y12_12, Z11_0_1)))
% 0.19/0.38
% 0.19/0.38 [8] BETA_IMPLY : (~big_p(X10_0_1, Z11_0_1) => ? [Y12_12] : (big_q(Y12_12, Z11_0_1)))
% 0.19/0.38 -> [9] ~~big_p(X10_0_1, Z11_0_1)
% 0.19/0.38 -> [10] ? [Y12_12] : (big_q(Y12_12, Z11_0_1))
% 0.19/0.38
% 0.19/0.38 [10] DELTA_EXISTS : ? [Y12_12] : (big_q(Y12_12, Z11_0_1))
% 0.19/0.38 -> [12] big_q(skolem_Y1212(Z11_0_1), Z11_0_1)
% 0.19/0.38
% 0.19/0.38 [12] GAMMA_NOT_EXISTS : ~? [Y17_17] : (big_r(skolem_X1616, Y17_17))
% 0.19/0.38 -> [15] ~big_r(skolem_X1616, Y17_0_2)
% 0.19/0.38
% 0.19/0.38 [15] GAMMA_FORALL : ! [Z15_15] : (big_r(Z15_15, Z15_15))
% 0.19/0.38 -> [19] big_r(Z15_0_3, Z15_0_3)
% 0.19/0.38
% 0.19/0.38 [19] CLOSURE : big_r(Z15_0_3, Z15_0_3)
% 0.19/0.38
% 0.19/0.38 [9] ALPHA_NOT_NOT : ~~big_p(X10_0_1, Z11_0_1)
% 0.19/0.38 -> [13] big_p(X10_0_1, Z11_0_1)
% 0.19/0.38
% 0.19/0.38 [13] GAMMA_NOT_EXISTS : ~? [Y17_17] : (big_r(skolem_X1616, Y17_17))
% 0.19/0.38 -> [16] ~big_r(skolem_X1616, Y17_1_2)
% 0.19/0.38
% 0.19/0.38 [16] GAMMA_FORALL : ! [Z15_15] : (big_r(Z15_15, Z15_15))
% 0.19/0.38 -> [21] big_r(Z15_1_3, Z15_1_3)
% 0.19/0.38
% 0.19/0.38 [21] CLOSURE : big_r(Z15_1_3, Z15_1_3)
% 0.19/0.38
% 0.19/0.38 [3] GAMMA_FORALL : ! [Z5_5] : (? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_5) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_5)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6))))))))
% 0.19/0.38 -> [6] ? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_1_0) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))
% 0.19/0.38
% 0.19/0.38 [6] DELTA_EXISTS : ? [W6_6] : (! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_1_0) => big_p(Y8_8, W6_6)) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, W6_6) => ? [U9_9] : (big_q(U9_9, W6_6)))))))
% 0.19/0.38 -> [11] ! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_1_0) => big_p(Y8_8, skolem_W66(Z5_1_0))) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))))))
% 0.19/0.38
% 0.19/0.38 [11] GAMMA_FORALL : ! [X10_10, Z11_11] : ((~big_p(X10_10, Z11_11) => ? [Y12_12] : (big_q(Y12_12, Z11_11))))
% 0.19/0.38 -> [14] (~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [Y12_12] : (big_q(Y12_12, skolem_W66(Z5_1_0))))
% 0.19/0.38
% 0.19/0.38 [14] BETA_IMPLY : (~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [Y12_12] : (big_q(Y12_12, skolem_W66(Z5_1_0))))
% 0.19/0.38 -> [17] ~~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38 -> [18] ? [Y12_12] : (big_q(Y12_12, skolem_W66(Z5_1_0)))
% 0.19/0.38
% 0.19/0.38 [18] DELTA_EXISTS : ? [Y12_12] : (big_q(Y12_12, skolem_W66(Z5_1_0)))
% 0.19/0.38 -> [22] big_q(skolem_Y1212(skolem_W66(Z5_1_0)), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 [22] GAMMA_NOT_EXISTS : ~? [Y17_17] : (big_r(skolem_X1616, Y17_17))
% 0.19/0.38 -> [24] ~big_r(skolem_X1616, Y17_3_2)
% 0.19/0.38
% 0.19/0.38 [24] GAMMA_NOT_EXISTS : ~? [X13_13, Y14_14] : (big_q(X13_13, Y14_14))
% 0.19/0.38 -> [25] ~big_q(X13_0_3, Y14_0_3)
% 0.19/0.38
% 0.19/0.38 [25] CLOSURE : ~big_q(X13_0_3, Y14_0_3)
% 0.19/0.38
% 0.19/0.38 [17] ALPHA_NOT_NOT : ~~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38 -> [20] big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 [20] GAMMA_NOT_EXISTS : ~? [Y17_17] : (big_r(skolem_X1616, Y17_17))
% 0.19/0.38 -> [23] ~big_r(skolem_X1616, Y17_2_2)
% 0.19/0.38
% 0.19/0.38 [23] GAMMA_NOT_EXISTS : ~? [X13_13, Y14_14] : (big_q(X13_13, Y14_14))
% 0.19/0.38 -> [26] ~big_q(skolem_U99(Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 [26] GAMMA_FORALL : ! [X7_7] : (? [Y8_8] : ((((big_p(X7_7, Z5_1_0) => big_p(Y8_8, skolem_W66(Z5_1_0))) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))))))
% 0.19/0.38 -> [27] ? [Y8_8] : ((((big_p(X7_0_4, Z5_1_0) => big_p(Y8_8, skolem_W66(Z5_1_0))) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0))))))
% 0.19/0.38
% 0.19/0.38 [27] DELTA_EXISTS : ? [Y8_8] : ((((big_p(X7_0_4, Z5_1_0) => big_p(Y8_8, skolem_W66(Z5_1_0))) & big_p(Y8_8, Z5_1_0)) & (big_p(Y8_8, skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0))))))
% 0.19/0.38 -> [28] (((big_p(X7_0_4, Z5_1_0) => big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))) & big_p(skolem_Y88(X7_0_4, Z5_1_0), Z5_1_0)) & (big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))))
% 0.19/0.38
% 0.19/0.38 [28] ALPHA_AND : (((big_p(X7_0_4, Z5_1_0) => big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))) & big_p(skolem_Y88(X7_0_4, Z5_1_0), Z5_1_0)) & (big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))))
% 0.19/0.38 -> [29] ((big_p(X7_0_4, Z5_1_0) => big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))) & big_p(skolem_Y88(X7_0_4, Z5_1_0), Z5_1_0)), (big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0))))
% 0.19/0.38
% 0.19/0.38 [29] ALPHA_AND : ((big_p(X7_0_4, Z5_1_0) => big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))) & big_p(skolem_Y88(X7_0_4, Z5_1_0), Z5_1_0))
% 0.19/0.38 -> [30] (big_p(X7_0_4, Z5_1_0) => big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))), big_p(skolem_Y88(X7_0_4, Z5_1_0), Z5_1_0)
% 0.19/0.38
% 0.19/0.38 [30] BETA_IMPLY : (big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0)) => ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0))))
% 0.19/0.38 -> [31] ~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38 -> [32] ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))
% 0.19/0.38
% 0.19/0.38 [32] DELTA_EXISTS : ? [U9_9] : (big_q(U9_9, skolem_W66(Z5_1_0)))
% 0.19/0.38 -> [33] big_q(skolem_U99(Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 [33] CLOSURE : big_q(skolem_U99(Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 [31] CLOSURE : ~big_p(skolem_Y88(X7_0_4, Z5_1_0), skolem_W66(Z5_1_0))
% 0.19/0.38
% 0.19/0.38 % SZS output end Proof for theBenchmark.p
% 0.19/0.38 [0.035225s][1][Res] 24 goroutines created
% 0.19/0.38 ==== Result ====
% 0.19/0.38 [0.035261s][1][Res] VALID
% 0.19/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------