TSTP Solution File: SYN732+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n004.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 22:24:31 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 06:46:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 6
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.37 % SZS output start Proof for theBenchmark.p
% 0.13/0.37 [0] ALPHA_NOT_IMPLY : ~(! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6)))) => ? [Z9_9] : ((? [V10_10] : (p(V10_10, Z9_9)) => ? [W11_11] : ((p(Z9_9, W11_11) | q(W11_11, Z9_9))))))
% 0.13/0.37 -> [1] ! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6)))), ~? [Z9_9] : ((? [V10_10] : (p(V10_10, Z9_9)) => ? [W11_11] : ((p(Z9_9, W11_11) | q(W11_11, Z9_9)))))
% 0.13/0.37
% 0.13/0.37 [1] GAMMA_FORALL : ! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6))))
% 0.13/0.37 -> [2] (! [X7_7] : (p(X7_7, Y6_0_0)) => ! [U8_8] : (q(U8_8, Y6_0_0)))
% 0.13/0.37
% 0.13/0.37 [2] BETA_IMPLY : (! [X7_7] : (p(X7_7, Y6_0_0)) => ! [U8_8] : (q(U8_8, Y6_0_0)))
% 0.13/0.37 -> [3] ~! [X7_7] : (p(X7_7, Y6_0_0))
% 0.13/0.37 -> [4] ! [U8_8] : (q(U8_8, Y6_0_0))
% 0.13/0.37
% 0.13/0.37 [4] GAMMA_NOT_EXISTS : ~? [Z9_9] : ((? [V10_10] : (p(V10_10, Z9_9)) => ? [W11_11] : ((p(Z9_9, W11_11) | q(W11_11, Z9_9)))))
% 0.13/0.37 -> [6] ~(? [V10_10] : (p(V10_10, Z9_0_1)) => ? [W11_11] : ((p(Z9_0_1, W11_11) | q(W11_11, Z9_0_1))))
% 0.13/0.37
% 0.13/0.37 [6] ALPHA_NOT_IMPLY : ~(? [V10_10] : (p(V10_10, Z9_0_1)) => ? [W11_11] : ((p(Z9_0_1, W11_11) | q(W11_11, Z9_0_1))))
% 0.13/0.37 -> [8] ? [V10_10] : (p(V10_10, Z9_0_1)), ~? [W11_11] : ((p(Z9_0_1, W11_11) | q(W11_11, Z9_0_1)))
% 0.13/0.37
% 0.13/0.37 [8] DELTA_EXISTS : ? [V10_10] : (p(V10_10, Z9_0_1))
% 0.13/0.37 -> [10] p(skolem_V1010(Z9_0_1), Z9_0_1)
% 0.13/0.37
% 0.13/0.37 [10] GAMMA_FORALL : ! [U8_8] : (q(U8_8, Y6_0_0))
% 0.13/0.37 -> [12] q(U8_0_2, Y6_0_0)
% 0.13/0.37
% 0.13/0.37 [12] GAMMA_NOT_EXISTS : ~? [W11_11] : ((p(Z9_0_1, W11_11) | q(W11_11, Z9_0_1)))
% 0.13/0.37 -> [17] ~(p(Z9_0_1, W11_1_3) | q(W11_1_3, Z9_0_1))
% 0.13/0.37
% 0.13/0.37 [17] ALPHA_NOT_OR : ~(p(Z9_0_1, W11_1_3) | q(W11_1_3, Z9_0_1))
% 0.13/0.37 -> [20] ~p(Z9_0_1, W11_1_3), ~q(W11_1_3, Z9_0_1)
% 0.13/0.37
% 0.13/0.37 [20] CLOSURE : ~q(W11_1_3, Z9_0_1)
% 0.13/0.37
% 0.13/0.37 [3] DELTA_NOT_FORALL : ~! [X7_7] : (p(X7_7, Y6_0_0))
% 0.13/0.37 -> [5] ~p(skolem_X77(Y6_0_0), Y6_0_0)
% 0.13/0.37
% 0.13/0.37 [5] GAMMA_NOT_EXISTS : ~? [Z9_9] : ((? [V10_10] : (p(V10_10, Z9_9)) => ? [W11_11] : ((p(Z9_9, W11_11) | q(W11_11, Z9_9)))))
% 0.13/0.37 -> [7] ~(? [V10_10] : (p(V10_10, skolem_V1010(Z9_2_1))) => ? [W11_11] : ((p(skolem_V1010(Z9_2_1), W11_11) | q(W11_11, skolem_V1010(Z9_2_1)))))
% 0.13/0.37
% 0.13/0.37 [7] ALPHA_NOT_IMPLY : ~(? [V10_10] : (p(V10_10, skolem_V1010(Z9_2_1))) => ? [W11_11] : ((p(skolem_V1010(Z9_2_1), W11_11) | q(W11_11, skolem_V1010(Z9_2_1)))))
% 0.13/0.37 -> [9] ? [V10_10] : (p(V10_10, skolem_V1010(Z9_2_1))), ~? [W11_11] : ((p(skolem_V1010(Z9_2_1), W11_11) | q(W11_11, skolem_V1010(Z9_2_1))))
% 0.13/0.37
% 0.13/0.37 [9] DELTA_EXISTS : ? [V10_10] : (p(V10_10, skolem_V1010(Z9_2_1)))
% 0.13/0.37 -> [11] p(skolem_V1010(skolem_V1010(Z9_2_1)), skolem_V1010(Z9_2_1))
% 0.13/0.37
% 0.13/0.37 [11] GAMMA_NOT_EXISTS : ~? [W11_11] : ((p(skolem_V1010(Z9_2_1), W11_11) | q(W11_11, skolem_V1010(Z9_2_1))))
% 0.13/0.37 -> [13] ~(p(skolem_V1010(Z9_2_1), Z9_2_1) | q(Z9_2_1, skolem_V1010(Z9_2_1)))
% 0.13/0.37
% 0.13/0.37 [13] ALPHA_NOT_OR : ~(p(skolem_V1010(Z9_2_1), Z9_2_1) | q(Z9_2_1, skolem_V1010(Z9_2_1)))
% 0.13/0.37 -> [14] ~p(skolem_V1010(Z9_2_1), Z9_2_1), ~q(Z9_2_1, skolem_V1010(Z9_2_1))
% 0.13/0.37
% 0.13/0.37 [14] ALPHA_NOT_OR : ! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6))))
% 0.13/0.37 -> [15] ! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6))))
% 0.13/0.37
% 0.13/0.37 [15] GAMMA_FORALL : ! [Y6_6] : ((! [X7_7] : (p(X7_7, Y6_6)) => ! [U8_8] : (q(U8_8, Y6_6))))
% 0.13/0.37 -> [16] (! [X7_7] : (p(X7_7, skolem_V1010(Z9_2_1))) => ! [U8_8] : (q(U8_8, skolem_V1010(Z9_2_1))))
% 0.13/0.37
% 0.13/0.37 [16] BETA_IMPLY : (! [X7_7] : (p(X7_7, skolem_V1010(Z9_2_1))) => ! [U8_8] : (q(U8_8, skolem_V1010(Z9_2_1))))
% 0.13/0.37 -> [18] ~! [X7_7] : (p(X7_7, skolem_V1010(Z9_2_1)))
% 0.13/0.37 -> [19] ! [U8_8] : (q(U8_8, skolem_V1010(Z9_2_1)))
% 0.13/0.37
% 0.13/0.37 [19] GAMMA_FORALL : ! [U8_8] : (q(U8_8, skolem_V1010(Z9_2_1)))
% 0.13/0.37 -> [21] q(U8_1_3, skolem_V1010(Z9_2_1))
% 0.13/0.37
% 0.13/0.37 [21] CLOSURE : q(U8_1_3, skolem_V1010(Z9_2_1))
% 0.13/0.37
% 0.13/0.37 [26] CLOSURE : p(skolem_V1010(Z9_2_1), Z9_2_1)
% 0.13/0.37
% 0.13/0.37 % SZS output end Proof for theBenchmark.p
% 0.13/0.37 [0.019755s][1][Res] 36 goroutines created
% 0.13/0.37 ==== Result ====
% 0.13/0.37 [0.019790s][1][Res] VALID
% 0.13/0.37 % SZS status Theorem for theBenchmark.p
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