TSTP Solution File: LCL646+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL646+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n009.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 03:42:51 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL646+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n009.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 : Thu Sep 1 22:53:05 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 9
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.38 % SZS output start Proof for theBenchmark.p
% 0.13/0.38 [0] ALPHA_NOT_NOT : ~~? [X2_2] : (~(((((((~! [Y3_3] : ((~r1(X2_2, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(X2_2, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(X2_2, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(X2_2, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(X2_2, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(X2_2, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(X2_2, Y9_9) | p2(Y9_9)))) | ! [Y10_10] : ((~r1(X2_2, Y10_10) | p1(Y10_10)))))
% 0.13/0.38 -> [1] ? [X2_2] : (~(((((((~! [Y3_3] : ((~r1(X2_2, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(X2_2, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(X2_2, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(X2_2, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(X2_2, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(X2_2, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(X2_2, Y9_9) | p2(Y9_9)))) | ! [Y10_10] : ((~r1(X2_2, Y10_10) | p1(Y10_10)))))
% 0.13/0.38
% 0.13/0.38 [1] DELTA_EXISTS : ? [X2_2] : (~(((((((~! [Y3_3] : ((~r1(X2_2, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(X2_2, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(X2_2, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(X2_2, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(X2_2, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(X2_2, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(X2_2, Y9_9) | p2(Y9_9)))) | ! [Y10_10] : ((~r1(X2_2, Y10_10) | p1(Y10_10)))))
% 0.13/0.38 -> [2] ~(((((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X22, Y10_10) | p1(Y10_10))))
% 0.13/0.38
% 0.13/0.38 [2] ALPHA_NOT_OR : ~(((((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9)))) | ! [Y10_10] : ((~r1(skolem_X22, Y10_10) | p1(Y10_10))))
% 0.13/0.38 -> [3] ~((((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9)))), ~! [Y10_10] : ((~r1(skolem_X22, Y10_10) | p1(Y10_10)))
% 0.13/0.38
% 0.13/0.38 [3] ALPHA_NOT_OR : ~((((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))) | ! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9))))
% 0.13/0.38 -> [4] ~(((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))), ~! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9)))
% 0.13/0.38
% 0.13/0.38 [4] ALPHA_NOT_OR : ~(((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))) | ! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8))))
% 0.13/0.38 -> [5] ~((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))), ~! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))
% 0.13/0.38
% 0.13/0.38 [5] ALPHA_NOT_OR : ~((((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))) | ! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7))))
% 0.13/0.38 -> [6] ~(((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))), ~! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))
% 0.13/0.38
% 0.13/0.38 [6] ALPHA_NOT_OR : ~(((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))) | ~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6))))
% 0.13/0.38 -> [7] ~((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))), ~~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))
% 0.13/0.38
% 0.13/0.38 [7] ALPHA_NOT_OR : ~((~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))) | ~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5))))
% 0.13/0.38 -> [8] ~(~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))), ~~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))
% 0.13/0.38
% 0.13/0.38 [8] ALPHA_NOT_NOT : ~~! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))
% 0.13/0.38 -> [9] ! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))
% 0.13/0.38
% 0.13/0.38 [9] ALPHA_NOT_OR : ~(~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))) | ~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4))))
% 0.13/0.38 -> [10] ~~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3))), ~~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))
% 0.13/0.38
% 0.13/0.38 [10] ALPHA_NOT_NOT : ~~! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))
% 0.13/0.38 -> [11] ! [Y5_5] : ((~r1(skolem_X22, Y5_5) | p4(Y5_5)))
% 0.13/0.38
% 0.13/0.38 [11] ALPHA_NOT_NOT : ~~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3)))
% 0.13/0.38 -> [12] ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p6(Y3_3)))
% 0.13/0.38
% 0.13/0.38 [12] ALPHA_NOT_NOT : ~~! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))
% 0.13/0.38 -> [13] ! [Y4_4] : ((~r1(skolem_X22, Y4_4) | p2(Y4_4)))
% 0.13/0.38
% 0.13/0.38 [13] DELTA_NOT_FORALL : ~! [Y10_10] : ((~r1(skolem_X22, Y10_10) | p1(Y10_10)))
% 0.13/0.38 -> [14] ~(~r1(skolem_X22, skolem_Y1010) | p1(skolem_Y1010))
% 0.13/0.38
% 0.13/0.38 [14] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1010) | p1(skolem_Y1010))
% 0.13/0.38 -> [15] ~~r1(skolem_X22, skolem_Y1010), ~p1(skolem_Y1010)
% 0.13/0.38
% 0.13/0.38 [15] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1010)
% 0.13/0.38 -> [16] r1(skolem_X22, skolem_Y1010)
% 0.13/0.38
% 0.13/0.38 [16] DELTA_NOT_FORALL : ~! [Y9_9] : ((~r1(skolem_X22, Y9_9) | p2(Y9_9)))
% 0.13/0.38 -> [17] ~(~r1(skolem_X22, skolem_Y99) | p2(skolem_Y99))
% 0.13/0.38
% 0.13/0.38 [17] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y99) | p2(skolem_Y99))
% 0.13/0.38 -> [18] ~~r1(skolem_X22, skolem_Y99), ~p2(skolem_Y99)
% 0.13/0.38
% 0.13/0.38 [18] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y99)
% 0.13/0.38 -> [19] r1(skolem_X22, skolem_Y99)
% 0.13/0.38
% 0.13/0.38 [19] DELTA_NOT_FORALL : ~! [Y8_8] : ((~r1(skolem_X22, Y8_8) | p3(Y8_8)))
% 0.13/0.38 -> [20] ~(~r1(skolem_X22, skolem_Y88) | p3(skolem_Y88))
% 0.13/0.38
% 0.13/0.38 [20] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y88) | p3(skolem_Y88))
% 0.13/0.38 -> [21] ~~r1(skolem_X22, skolem_Y88), ~p3(skolem_Y88)
% 0.13/0.38
% 0.13/0.38 [21] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y88)
% 0.13/0.38 -> [22] r1(skolem_X22, skolem_Y88)
% 0.13/0.38
% 0.13/0.38 [22] DELTA_NOT_FORALL : ~! [Y7_7] : ((~r1(skolem_X22, Y7_7) | p5(Y7_7)))
% 0.13/0.38 -> [23] ~(~r1(skolem_X22, skolem_Y77) | p5(skolem_Y77))
% 0.13/0.38
% 0.13/0.38 [23] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y77) | p5(skolem_Y77))
% 0.13/0.38 -> [24] ~~r1(skolem_X22, skolem_Y77), ~p5(skolem_Y77)
% 0.13/0.38
% 0.13/0.38 [24] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y77)
% 0.13/0.38 -> [25] r1(skolem_X22, skolem_Y77)
% 0.13/0.38
% 0.13/0.38 [25] GAMMA_FORALL : ! [Y6_6] : ((~r1(skolem_X22, Y6_6) | p2(Y6_6)))
% 0.13/0.38 -> [26] (~r1(skolem_X22, skolem_Y99) | p2(skolem_Y99))
% 0.13/0.38
% 0.13/0.38 [26] BETA_OR : (~r1(skolem_X22, skolem_Y99) | p2(skolem_Y99))
% 0.13/0.38 -> [27] ~r1(skolem_X22, skolem_Y99)
% 0.13/0.38 -> [28] p2(skolem_Y99)
% 0.13/0.38
% 0.13/0.38 [27] CLOSURE : ~r1(skolem_X22, skolem_Y99)
% 0.13/0.38
% 0.13/0.38 [28] CLOSURE : p2(skolem_Y99)
% 0.13/0.38
% 0.13/0.38 % SZS output end Proof for theBenchmark.p
% 0.13/0.38 [0.033139s][1][Res] 22 goroutines created
% 0.13/0.38 ==== Result ====
% 0.13/0.38 [0.033184s][1][Res] VALID
% 0.13/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------