TSTP Solution File: LCL678+1.001 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n005.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 03:43:45 EDT 2022
% Result : Theorem 0.16s 0.36s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.10 % Command : goeland -dmt -presko -proof %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Sep 2 00:03:33 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.31 [DMT] DMT loaded with preskolemization
% 0.16/0.31 [EQ] equality loaded.
% 0.16/0.31 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.16/0.31 Start search
% 0.16/0.31 nb_step : 1 - limit : 7
% 0.16/0.31 Launch Gotab with destructive = true
% 0.16/0.36 % SZS output start Proof for theBenchmark.p
% 0.16/0.36 [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] : (~($false | ~! [Y8_8] : (((~r1(X7_7, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11))))))))))
% 0.16/0.36 -> [1] ! [X3_3] : (r1(X3_3, X3_3)), ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6))), ~~? [X7_7] : (~($false | ~! [Y8_8] : (((~r1(X7_7, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))))
% 0.16/0.36
% 0.16/0.36 [1] ALPHA_NOT_NOT : ~~? [X7_7] : (~($false | ~! [Y8_8] : (((~r1(X7_7, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))))
% 0.16/0.36 -> [2] ? [X7_7] : (~($false | ~! [Y8_8] : (((~r1(X7_7, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))))
% 0.16/0.36
% 0.16/0.36 [2] DELTA_EXISTS : ? [X7_7] : (~($false | ~! [Y8_8] : (((~r1(X7_7, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))))
% 0.16/0.36 -> [3] ~($false | ~! [Y8_8] : (((~r1(skolem_X77, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11))))))))
% 0.16/0.36
% 0.16/0.36 [3] ALPHA_NOT_OR : ~($false | ~! [Y8_8] : (((~r1(skolem_X77, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11))))))))
% 0.16/0.36 -> [4] ~$false, ~~! [Y8_8] : (((~r1(skolem_X77, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))
% 0.16/0.36
% 0.16/0.36 [4] ALPHA_NOT_NOT : ~~! [Y8_8] : (((~r1(skolem_X77, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))
% 0.16/0.36 -> [5] ! [Y8_8] : (((~r1(skolem_X77, Y8_8) | $false) | ~! [X79_9] : (((~r1(Y8_8, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))))
% 0.16/0.36
% 0.16/0.36 [5] GAMMA_FORALL : ! [X3_3] : (r1(X3_3, X3_3))
% 0.16/0.36 -> [6] r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [6] GAMMA_FORALL : ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6)))
% 0.16/0.36 -> [7] ((r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77)) => r1(skolem_X77, skolem_X77))
% 0.16/0.36
% 0.16/0.36 [7] BETA_IMPLY : ((r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77)) => r1(skolem_X77, skolem_X77))
% 0.16/0.36 -> [8] ~(r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77))
% 0.16/0.36 -> [9] r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [8] BETA_NOT_AND : ~(r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77))
% 0.16/0.36 -> [10] ~r1(skolem_X77, skolem_X77)
% 0.16/0.36 -> [11] ~r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [10] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [11] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [12] BETA_OR : ((~r1(skolem_X77, skolem_X77) | $false) | ~! [X79_9] : (((~r1(skolem_X77, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11))))))
% 0.16/0.36 -> [28] (~r1(skolem_X77, skolem_X77) | $false)
% 0.16/0.36 -> [29] ~! [X79_9] : (((~r1(skolem_X77, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))
% 0.16/0.36
% 0.16/0.36 [28] BETA_OR : (~r1(skolem_X77, skolem_X77) | $false)
% 0.16/0.36 -> [30] ~r1(skolem_X77, skolem_X77)
% 0.16/0.36 -> [31] $false
% 0.16/0.36
% 0.16/0.36 [31] CLOSURE : $false
% 0.16/0.36
% 0.16/0.36 [30] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.16/0.36
% 0.16/0.36 [29] DELTA_NOT_FORALL : ~! [X79_9] : (((~r1(skolem_X77, X79_9) | ! [Y810_10] : ((~r1(X79_9, Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(X79_9, Y811_11) | p1(Y811_11)))))
% 0.16/0.36 -> [32] ~((~r1(skolem_X77, skolem_X799(skolem_X77)) | ! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11))))
% 0.16/0.36
% 0.16/0.36 [32] ALPHA_NOT_OR : ~((~r1(skolem_X77, skolem_X799(skolem_X77)) | ! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10)))) | ~! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11))))
% 0.16/0.36 -> [33] ~(~r1(skolem_X77, skolem_X799(skolem_X77)) | ! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10)))), ~~! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11)))
% 0.16/0.36
% 0.16/0.36 [33] ALPHA_NOT_OR : ~(~r1(skolem_X77, skolem_X799(skolem_X77)) | ! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10))))
% 0.16/0.36 -> [34] ~~r1(skolem_X77, skolem_X799(skolem_X77)), ~! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10)))
% 0.16/0.36
% 0.16/0.36 [34] ALPHA_NOT_NOT : ~~! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11)))
% 0.16/0.36 -> [35] ! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11)))
% 0.16/0.36
% 0.16/0.36 [35] ALPHA_NOT_NOT : ~~r1(skolem_X77, skolem_X799(skolem_X77))
% 0.16/0.36 -> [36] r1(skolem_X77, skolem_X799(skolem_X77))
% 0.16/0.36
% 0.16/0.36 [36] DELTA_NOT_FORALL : ~! [Y810_10] : ((~r1(skolem_X799(skolem_X77), Y810_10) | p1(Y810_10)))
% 0.16/0.36 -> [37] ~(~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77)) | p1(skolem_Y81010(skolem_X77)))
% 0.16/0.36
% 0.16/0.36 [37] ALPHA_NOT_OR : ~(~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77)) | p1(skolem_Y81010(skolem_X77)))
% 0.16/0.36 -> [38] ~~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77)), ~p1(skolem_Y81010(skolem_X77))
% 0.16/0.36
% 0.16/0.36 [38] ALPHA_NOT_NOT : ~~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77))
% 0.16/0.36 -> [39] r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77))
% 0.16/0.36
% 0.16/0.36 [39] GAMMA_FORALL : ! [Y811_11] : ((~r1(skolem_X799(skolem_X77), Y811_11) | p1(Y811_11)))
% 0.16/0.36 -> [40] (~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77)) | p1(skolem_Y81010(skolem_X77)))
% 0.16/0.36
% 0.16/0.36 [40] BETA_OR : (~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77)) | p1(skolem_Y81010(skolem_X77)))
% 0.16/0.36 -> [41] ~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77))
% 0.16/0.36 -> [42] p1(skolem_Y81010(skolem_X77))
% 0.16/0.36
% 0.16/0.36 [42] CLOSURE : p1(skolem_Y81010(skolem_X77))
% 0.16/0.36
% 0.16/0.36 [41] CLOSURE : ~r1(skolem_X799(skolem_X77), skolem_Y81010(skolem_X77))
% 0.16/0.36
% 0.16/0.36 % SZS output end Proof for theBenchmark.p
% 0.16/0.36 [0.044041s][1][Res] 35 goroutines created
% 0.16/0.36 ==== Result ====
% 0.16/0.36 [0.044094s][1][Res] VALID
% 0.16/0.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------