TSTP Solution File: LCL682+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.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 03:44:45 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 00:11:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 16
% 0.13/0.34 Launch Gotab with destructive = true
% 0.18/0.42 % SZS output start Proof for theBenchmark.p
% 0.18/0.43 [0] ALPHA_AND : (! [X3_3] : (r1(X3_3, X3_3)) & ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6))) & ~~? [X7_7] : (~((((~! [Y8_8] : ((~r1(X7_7, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(X7_7, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(X7_7, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(X7_7, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(X7_7, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20))))))))
% 0.18/0.43 -> [1] ! [X3_3] : (r1(X3_3, X3_3)), ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6))), ~~? [X7_7] : (~((((~! [Y8_8] : ((~r1(X7_7, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(X7_7, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(X7_7, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(X7_7, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(X7_7, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))))
% 0.18/0.43
% 0.18/0.43 [1] ALPHA_NOT_NOT : ~~? [X7_7] : (~((((~! [Y8_8] : ((~r1(X7_7, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(X7_7, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(X7_7, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(X7_7, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(X7_7, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))))
% 0.18/0.43 -> [2] ? [X7_7] : (~((((~! [Y8_8] : ((~r1(X7_7, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(X7_7, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(X7_7, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(X7_7, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(X7_7, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))))
% 0.18/0.43
% 0.18/0.43 [2] DELTA_EXISTS : ? [X7_7] : (~((((~! [Y8_8] : ((~r1(X7_7, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(X7_7, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(X7_7, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(X7_7, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(X7_7, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))))
% 0.18/0.43 -> [3] ~((((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(skolem_X77, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20))))))
% 0.18/0.43
% 0.18/0.43 [3] ALPHA_NOT_OR : ~((((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))) | ! [Y19_19] : ((~r1(skolem_X77, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20))))))
% 0.18/0.43 -> [4] ~(((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))), ~! [Y19_19] : ((~r1(skolem_X77, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))
% 0.18/0.43
% 0.18/0.43 [4] ALPHA_NOT_OR : ~(((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))) | ! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18))))))
% 0.18/0.43 -> [5] ~((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))), ~! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))
% 0.18/0.43
% 0.18/0.43 [5] ALPHA_NOT_OR : ~((~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))) | ! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16))))))
% 0.18/0.43 -> [6] ~(~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))), ~! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))
% 0.18/0.43
% 0.18/0.43 [6] ALPHA_NOT_OR : ~(~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))) | ! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14))))))
% 0.18/0.43 -> [7] ~~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12)))))), ~! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))
% 0.18/0.43
% 0.18/0.43 [7] ALPHA_NOT_NOT : ~~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12))))))
% 0.18/0.43 -> [8] ! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12))))))
% 0.18/0.43
% 0.18/0.43 [8] DELTA_NOT_FORALL : ~! [Y19_19] : ((~r1(skolem_X77, Y19_19) | ! [X720_20] : ((~r1(Y19_19, X720_20) | p11(X720_20)))))
% 0.18/0.43 -> [9] ~(~r1(skolem_X77, skolem_Y1919) | ! [X720_20] : ((~r1(skolem_Y1919, X720_20) | p11(X720_20))))
% 0.18/0.43
% 0.18/0.43 [9] ALPHA_NOT_OR : ~(~r1(skolem_X77, skolem_Y1919) | ! [X720_20] : ((~r1(skolem_Y1919, X720_20) | p11(X720_20))))
% 0.18/0.43 -> [10] ~~r1(skolem_X77, skolem_Y1919), ~! [X720_20] : ((~r1(skolem_Y1919, X720_20) | p11(X720_20)))
% 0.18/0.43
% 0.18/0.43 [10] ALPHA_NOT_NOT : ~~r1(skolem_X77, skolem_Y1919)
% 0.18/0.43 -> [11] r1(skolem_X77, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [11] DELTA_NOT_FORALL : ~! [Y17_17] : ((~r1(skolem_X77, Y17_17) | ! [X718_18] : ((~r1(Y17_17, X718_18) | p12(X718_18)))))
% 0.18/0.43 -> [12] ~(~r1(skolem_X77, skolem_Y1717) | ! [X718_18] : ((~r1(skolem_Y1717, X718_18) | p12(X718_18))))
% 0.18/0.43
% 0.18/0.43 [12] ALPHA_NOT_OR : ~(~r1(skolem_X77, skolem_Y1717) | ! [X718_18] : ((~r1(skolem_Y1717, X718_18) | p12(X718_18))))
% 0.18/0.43 -> [13] ~~r1(skolem_X77, skolem_Y1717), ~! [X718_18] : ((~r1(skolem_Y1717, X718_18) | p12(X718_18)))
% 0.18/0.43
% 0.18/0.43 [13] ALPHA_NOT_NOT : ~~r1(skolem_X77, skolem_Y1717)
% 0.18/0.43 -> [14] r1(skolem_X77, skolem_Y1717)
% 0.18/0.43
% 0.18/0.43 [14] DELTA_NOT_FORALL : ~! [Y15_15] : ((~r1(skolem_X77, Y15_15) | ! [X716_16] : ((~r1(Y15_15, X716_16) | p13(X716_16)))))
% 0.18/0.43 -> [15] ~(~r1(skolem_X77, skolem_Y1515) | ! [X716_16] : ((~r1(skolem_Y1515, X716_16) | p13(X716_16))))
% 0.18/0.43
% 0.18/0.43 [15] ALPHA_NOT_OR : ~(~r1(skolem_X77, skolem_Y1515) | ! [X716_16] : ((~r1(skolem_Y1515, X716_16) | p13(X716_16))))
% 0.18/0.43 -> [16] ~~r1(skolem_X77, skolem_Y1515), ~! [X716_16] : ((~r1(skolem_Y1515, X716_16) | p13(X716_16)))
% 0.18/0.43
% 0.18/0.43 [16] ALPHA_NOT_NOT : ~~r1(skolem_X77, skolem_Y1515)
% 0.18/0.43 -> [17] r1(skolem_X77, skolem_Y1515)
% 0.18/0.43
% 0.18/0.43 [17] DELTA_NOT_FORALL : ~! [Y13_13] : ((~r1(skolem_X77, Y13_13) | ! [X714_14] : ((~r1(Y13_13, X714_14) | p15(X714_14)))))
% 0.18/0.43 -> [18] ~(~r1(skolem_X77, skolem_Y1313) | ! [X714_14] : ((~r1(skolem_Y1313, X714_14) | p15(X714_14))))
% 0.18/0.43
% 0.18/0.43 [18] ALPHA_NOT_OR : ~(~r1(skolem_X77, skolem_Y1313) | ! [X714_14] : ((~r1(skolem_Y1313, X714_14) | p15(X714_14))))
% 0.18/0.43 -> [19] ~~r1(skolem_X77, skolem_Y1313), ~! [X714_14] : ((~r1(skolem_Y1313, X714_14) | p15(X714_14)))
% 0.18/0.43
% 0.18/0.43 [19] ALPHA_NOT_NOT : ~~r1(skolem_X77, skolem_Y1313)
% 0.18/0.43 -> [20] r1(skolem_X77, skolem_Y1313)
% 0.18/0.43
% 0.18/0.43 [20] DELTA_NOT_FORALL : ~! [X720_20] : ((~r1(skolem_Y1919, X720_20) | p11(X720_20)))
% 0.18/0.43 -> [21] ~(~r1(skolem_Y1919, skolem_X72020) | p11(skolem_X72020))
% 0.18/0.43
% 0.18/0.43 [21] ALPHA_NOT_OR : ~(~r1(skolem_Y1919, skolem_X72020) | p11(skolem_X72020))
% 0.18/0.43 -> [22] ~~r1(skolem_Y1919, skolem_X72020), ~p11(skolem_X72020)
% 0.18/0.43
% 0.18/0.43 [22] ALPHA_NOT_NOT : ~~r1(skolem_Y1919, skolem_X72020)
% 0.18/0.43 -> [23] r1(skolem_Y1919, skolem_X72020)
% 0.18/0.43
% 0.18/0.43 [23] DELTA_NOT_FORALL : ~! [X718_18] : ((~r1(skolem_Y1717, X718_18) | p12(X718_18)))
% 0.18/0.43 -> [24] ~(~r1(skolem_Y1717, skolem_X71818) | p12(skolem_X71818))
% 0.18/0.43
% 0.18/0.43 [24] ALPHA_NOT_OR : ~(~r1(skolem_Y1717, skolem_X71818) | p12(skolem_X71818))
% 0.18/0.43 -> [25] ~~r1(skolem_Y1717, skolem_X71818), ~p12(skolem_X71818)
% 0.18/0.43
% 0.18/0.43 [25] ALPHA_NOT_NOT : ~~r1(skolem_Y1717, skolem_X71818)
% 0.18/0.43 -> [26] r1(skolem_Y1717, skolem_X71818)
% 0.18/0.43
% 0.18/0.43 [26] DELTA_NOT_FORALL : ~! [X716_16] : ((~r1(skolem_Y1515, X716_16) | p13(X716_16)))
% 0.18/0.43 -> [27] ~(~r1(skolem_Y1515, skolem_X71616) | p13(skolem_X71616))
% 0.18/0.43
% 0.18/0.43 [27] ALPHA_NOT_OR : ~(~r1(skolem_Y1515, skolem_X71616) | p13(skolem_X71616))
% 0.18/0.43 -> [28] ~~r1(skolem_Y1515, skolem_X71616), ~p13(skolem_X71616)
% 0.18/0.43
% 0.18/0.43 [28] ALPHA_NOT_NOT : ~~r1(skolem_Y1515, skolem_X71616)
% 0.18/0.43 -> [29] r1(skolem_Y1515, skolem_X71616)
% 0.18/0.43
% 0.18/0.43 [29] DELTA_NOT_FORALL : ~! [X714_14] : ((~r1(skolem_Y1313, X714_14) | p15(X714_14)))
% 0.18/0.43 -> [30] ~(~r1(skolem_Y1313, skolem_X71414) | p15(skolem_X71414))
% 0.18/0.43
% 0.18/0.43 [30] ALPHA_NOT_OR : ~(~r1(skolem_Y1313, skolem_X71414) | p15(skolem_X71414))
% 0.18/0.43 -> [31] ~~r1(skolem_Y1313, skolem_X71414), ~p15(skolem_X71414)
% 0.18/0.43
% 0.18/0.43 [31] ALPHA_NOT_NOT : ~~r1(skolem_Y1313, skolem_X71414)
% 0.18/0.43 -> [32] r1(skolem_Y1313, skolem_X71414)
% 0.18/0.43
% 0.18/0.43 [32] GAMMA_FORALL : ! [X3_3] : (r1(X3_3, X3_3))
% 0.18/0.43 -> [33] r1(skolem_Y1919, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [33] GAMMA_FORALL : ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6)))
% 0.18/0.43 -> [34] ((r1(skolem_X77, skolem_Y1919) & r1(skolem_Y1919, skolem_Y1919)) => r1(skolem_X77, skolem_Y1919))
% 0.18/0.43
% 0.18/0.43 [34] BETA_IMPLY : ((r1(skolem_X77, skolem_Y1919) & r1(skolem_Y1919, skolem_Y1919)) => r1(skolem_X77, skolem_Y1919))
% 0.18/0.43 -> [35] ~(r1(skolem_X77, skolem_Y1919) & r1(skolem_Y1919, skolem_Y1919))
% 0.18/0.43 -> [36] r1(skolem_X77, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [35] BETA_NOT_AND : ~(r1(skolem_X77, skolem_Y1919) & r1(skolem_Y1919, skolem_Y1919))
% 0.18/0.43 -> [37] ~r1(skolem_X77, skolem_Y1919)
% 0.18/0.43 -> [38] ~r1(skolem_Y1919, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [37] CLOSURE : ~r1(skolem_X77, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [38] CLOSURE : ~r1(skolem_Y1919, skolem_Y1919)
% 0.18/0.43
% 0.18/0.43 [36] GAMMA_FORALL : ! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ~(((~! [X79_9] : ((~r1(Y8_8, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(Y8_8, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(Y8_8, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(Y8_8, X712_12) | p12(X712_12))))))
% 0.18/0.43 -> [39] (~r1(skolem_X77, skolem_Y1717) | ~(((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))))
% 0.18/0.43
% 0.18/0.43 [39] BETA_OR : (~r1(skolem_X77, skolem_Y1717) | ~(((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))))
% 0.18/0.43 -> [40] ~r1(skolem_X77, skolem_Y1717)
% 0.18/0.43 -> [41] ~(((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12))))
% 0.18/0.43
% 0.18/0.43 [40] CLOSURE : ~r1(skolem_X77, skolem_Y1717)
% 0.18/0.43
% 0.18/0.43 [41] ALPHA_NOT_OR : ~(((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))) | ~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12))))
% 0.18/0.43 -> [42] ~((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))), ~~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))
% 0.18/0.43
% 0.18/0.43 [42] ALPHA_NOT_OR : ~((~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))) | ~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11))))
% 0.18/0.43 -> [43] ~(~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))), ~~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))
% 0.18/0.43
% 0.18/0.43 [43] ALPHA_NOT_NOT : ~~! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))
% 0.18/0.43 -> [44] ! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))
% 0.18/0.43
% 0.18/0.43 [44] ALPHA_NOT_OR : ~(~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))) | ~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10))))
% 0.18/0.43 -> [45] ~~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9))), ~~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))
% 0.18/0.43
% 0.18/0.43 [45] ALPHA_NOT_NOT : ~~! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))
% 0.18/0.43 -> [46] ! [X711_11] : ((~r1(skolem_Y1717, X711_11) | p14(X711_11)))
% 0.18/0.43
% 0.18/0.43 [46] ALPHA_NOT_NOT : ~~! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9)))
% 0.18/0.43 -> [47] ! [X79_9] : ((~r1(skolem_Y1717, X79_9) | p16(X79_9)))
% 0.18/0.43
% 0.18/0.43 [47] ALPHA_NOT_NOT : ~~! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))
% 0.18/0.43 -> [48] ! [X710_10] : ((~r1(skolem_Y1717, X710_10) | p12(X710_10)))
% 0.18/0.43
% 0.18/0.43 [48] GAMMA_FORALL : ! [X712_12] : ((~r1(skolem_Y1717, X712_12) | p12(X712_12)))
% 0.18/0.43 -> [49] (~r1(skolem_Y1717, skolem_X71818) | p12(skolem_X71818))
% 0.18/0.43
% 0.18/0.43 [49] BETA_OR : (~r1(skolem_Y1717, skolem_X71818) | p12(skolem_X71818))
% 0.18/0.43 -> [50] ~r1(skolem_Y1717, skolem_X71818)
% 0.18/0.43 -> [51] p12(skolem_X71818)
% 0.18/0.43
% 0.18/0.43 [51] CLOSURE : p12(skolem_X71818)
% 0.18/0.43
% 0.18/0.43 [50] CLOSURE : ~r1(skolem_Y1717, skolem_X71818)
% 0.18/0.43
% 0.18/0.43 % SZS output end Proof for theBenchmark.p
% 0.18/0.43 [0.086843s][1][Res] 178 goroutines created
% 0.18/0.43 ==== Result ====
% 0.18/0.43 [0.086888s][1][Res] VALID
% 0.18/0.43 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------