TSTP Solution File: LCL664+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n024.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 : Sun Sep 18 03:43:35 EDT 2022
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 23:36:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 10
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.37 % SZS output start Proof for theBenchmark.p
% 0.18/0.37 [0] ALPHA_AND : (! [X2_2] : (r1(X2_2, X2_2)) & ~~? [X3_3] : (~(((((((~! [Y4_4] : ((~r1(X3_3, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(X3_3, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(X3_3, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(X3_3, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(X3_3, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(X3_3, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(X3_3, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(X3_3, Y11_11) | p11(Y11_11))))))
% 0.18/0.37 -> [1] ! [X2_2] : (r1(X2_2, X2_2)), ~~? [X3_3] : (~(((((((~! [Y4_4] : ((~r1(X3_3, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(X3_3, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(X3_3, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(X3_3, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(X3_3, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(X3_3, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(X3_3, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(X3_3, Y11_11) | p11(Y11_11)))))
% 0.18/0.37
% 0.18/0.37 [1] ALPHA_NOT_NOT : ~~? [X3_3] : (~(((((((~! [Y4_4] : ((~r1(X3_3, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(X3_3, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(X3_3, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(X3_3, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(X3_3, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(X3_3, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(X3_3, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(X3_3, Y11_11) | p11(Y11_11)))))
% 0.18/0.37 -> [2] ? [X3_3] : (~(((((((~! [Y4_4] : ((~r1(X3_3, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(X3_3, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(X3_3, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(X3_3, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(X3_3, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(X3_3, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(X3_3, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(X3_3, Y11_11) | p11(Y11_11)))))
% 0.18/0.37
% 0.18/0.37 [2] DELTA_EXISTS : ? [X3_3] : (~(((((((~! [Y4_4] : ((~r1(X3_3, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(X3_3, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(X3_3, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(X3_3, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(X3_3, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(X3_3, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(X3_3, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(X3_3, Y11_11) | p11(Y11_11)))))
% 0.18/0.37 -> [3] ~(((((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(skolem_X33, Y11_11) | p11(Y11_11))))
% 0.18/0.37
% 0.18/0.37 [3] ALPHA_NOT_OR : ~(((((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10)))) | ! [Y11_11] : ((~r1(skolem_X33, Y11_11) | p11(Y11_11))))
% 0.18/0.37 -> [4] ~((((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10)))), ~! [Y11_11] : ((~r1(skolem_X33, Y11_11) | p11(Y11_11)))
% 0.18/0.37
% 0.18/0.37 [4] ALPHA_NOT_OR : ~((((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10))))
% 0.18/0.37 -> [5] ~(((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))), ~! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10)))
% 0.18/0.37
% 0.18/0.37 [5] ALPHA_NOT_OR : ~(((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9))))
% 0.18/0.37 -> [6] ~((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))), ~! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))
% 0.18/0.37
% 0.18/0.37 [6] ALPHA_NOT_OR : ~((((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8))))
% 0.18/0.37 -> [7] ~(((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))), ~! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))
% 0.18/0.37
% 0.18/0.37 [7] ALPHA_NOT_OR : ~(((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))) | ~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7))))
% 0.18/0.37 -> [8] ~((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))), ~~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))
% 0.18/0.37
% 0.18/0.37 [8] ALPHA_NOT_OR : ~((~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6))))
% 0.18/0.37 -> [9] ~(~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))), ~~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))
% 0.18/0.37
% 0.18/0.37 [9] ALPHA_NOT_NOT : ~~! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))
% 0.18/0.37 -> [10] ! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))
% 0.18/0.37
% 0.18/0.37 [10] ALPHA_NOT_OR : ~(~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))) | ~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5))))
% 0.18/0.37 -> [11] ~~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4))), ~~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))
% 0.18/0.37
% 0.18/0.37 [11] ALPHA_NOT_NOT : ~~! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))
% 0.18/0.37 -> [12] ! [Y6_6] : ((~r1(skolem_X33, Y6_6) | p14(Y6_6)))
% 0.18/0.37
% 0.18/0.37 [12] ALPHA_NOT_NOT : ~~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4)))
% 0.18/0.37 -> [13] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p16(Y4_4)))
% 0.18/0.37
% 0.18/0.37 [13] ALPHA_NOT_NOT : ~~! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))
% 0.18/0.37 -> [14] ! [Y5_5] : ((~r1(skolem_X33, Y5_5) | p12(Y5_5)))
% 0.18/0.37
% 0.18/0.37 [14] DELTA_NOT_FORALL : ~! [Y11_11] : ((~r1(skolem_X33, Y11_11) | p11(Y11_11)))
% 0.18/0.37 -> [15] ~(~r1(skolem_X33, skolem_Y1111) | p11(skolem_Y1111))
% 0.18/0.37
% 0.18/0.37 [15] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_Y1111) | p11(skolem_Y1111))
% 0.18/0.37 -> [16] ~~r1(skolem_X33, skolem_Y1111), ~p11(skolem_Y1111)
% 0.18/0.37
% 0.18/0.37 [16] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_Y1111)
% 0.18/0.37 -> [17] r1(skolem_X33, skolem_Y1111)
% 0.18/0.37
% 0.18/0.37 [17] DELTA_NOT_FORALL : ~! [Y10_10] : ((~r1(skolem_X33, Y10_10) | p12(Y10_10)))
% 0.18/0.37 -> [18] ~(~r1(skolem_X33, skolem_Y1010) | p12(skolem_Y1010))
% 0.18/0.37
% 0.18/0.37 [18] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_Y1010) | p12(skolem_Y1010))
% 0.18/0.37 -> [19] ~~r1(skolem_X33, skolem_Y1010), ~p12(skolem_Y1010)
% 0.18/0.37
% 0.18/0.37 [19] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_Y1010)
% 0.18/0.37 -> [20] r1(skolem_X33, skolem_Y1010)
% 0.18/0.37
% 0.18/0.37 [20] DELTA_NOT_FORALL : ~! [Y9_9] : ((~r1(skolem_X33, Y9_9) | p13(Y9_9)))
% 0.18/0.37 -> [21] ~(~r1(skolem_X33, skolem_Y99) | p13(skolem_Y99))
% 0.18/0.37
% 0.18/0.37 [21] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_Y99) | p13(skolem_Y99))
% 0.18/0.37 -> [22] ~~r1(skolem_X33, skolem_Y99), ~p13(skolem_Y99)
% 0.18/0.37
% 0.18/0.37 [22] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_Y99)
% 0.18/0.37 -> [23] r1(skolem_X33, skolem_Y99)
% 0.18/0.37
% 0.18/0.37 [23] DELTA_NOT_FORALL : ~! [Y8_8] : ((~r1(skolem_X33, Y8_8) | p15(Y8_8)))
% 0.18/0.37 -> [24] ~(~r1(skolem_X33, skolem_Y88) | p15(skolem_Y88))
% 0.18/0.37
% 0.18/0.37 [24] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_Y88) | p15(skolem_Y88))
% 0.18/0.37 -> [25] ~~r1(skolem_X33, skolem_Y88), ~p15(skolem_Y88)
% 0.18/0.37
% 0.18/0.37 [25] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_Y88)
% 0.18/0.37 -> [26] r1(skolem_X33, skolem_Y88)
% 0.18/0.37
% 0.18/0.37 [26] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 0.18/0.37 -> [27] r1(X2_0_0, X2_0_0)
% 0.18/0.37
% 0.18/0.37 [27] GAMMA_FORALL : ! [Y7_7] : ((~r1(skolem_X33, Y7_7) | p12(Y7_7)))
% 0.18/0.37 -> [28] (~r1(skolem_X33, skolem_Y1010) | p12(skolem_Y1010))
% 0.18/0.37
% 0.18/0.37 [28] BETA_OR : (~r1(skolem_X33, skolem_Y1010) | p12(skolem_Y1010))
% 0.18/0.37 -> [29] ~r1(skolem_X33, skolem_Y1010)
% 0.18/0.37 -> [30] p12(skolem_Y1010)
% 0.18/0.37
% 0.18/0.37 [29] CLOSURE : ~r1(skolem_X33, skolem_Y1010)
% 0.18/0.37
% 0.18/0.37 [30] CLOSURE : p12(skolem_Y1010)
% 0.18/0.37
% 0.18/0.37 % SZS output end Proof for theBenchmark.p
% 0.18/0.37 [0.038353s][1][Res] 28 goroutines created
% 0.18/0.37 ==== Result ====
% 0.18/0.37 [0.038391s][1][Res] VALID
% 0.18/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------