TSTP Solution File: LCL684+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 03:44:47 EDT 2022
% Result : Theorem 0.17s 0.38s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 : Fri Sep 2 00:26:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 5
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.37 % SZS output start Proof for theBenchmark.p
% 0.17/0.38 [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) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(X7_7) & p101(X7_7)))))
% 0.17/0.38 -> [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) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(X7_7) & p101(X7_7))))
% 0.17/0.38
% 0.17/0.38 [1] ALPHA_NOT_NOT : ~~? [X7_7] : (~(~! [Y8_8] : ((~r1(X7_7, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(X7_7) & p101(X7_7))))
% 0.17/0.38 -> [2] ? [X7_7] : (~(~! [Y8_8] : ((~r1(X7_7, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(X7_7) & p101(X7_7))))
% 0.17/0.38
% 0.17/0.38 [2] DELTA_EXISTS : ? [X7_7] : (~(~! [Y8_8] : ((~r1(X7_7, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(X7_7) & p101(X7_7))))
% 0.17/0.38 -> [3] ~(~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(skolem_X77) & p101(skolem_X77)))
% 0.17/0.38
% 0.17/0.38 [3] ALPHA_NOT_OR : ~(~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))) | ~(p201(skolem_X77) & p101(skolem_X77)))
% 0.17/0.38 -> [4] ~~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9)))))), ~~(p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38
% 0.17/0.38 [4] ALPHA_NOT_NOT : ~~! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9))))))
% 0.17/0.38 -> [5] ! [Y8_8] : ((~r1(skolem_X77, Y8_8) | ! [X79_9] : ((~r1(Y8_8, X79_9) | ~(p201(X79_9) & p101(X79_9))))))
% 0.17/0.38
% 0.17/0.38 [5] ALPHA_NOT_NOT : ~~(p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38 -> [6] (p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38
% 0.17/0.38 [6] ALPHA_AND : (p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38 -> [7] p201(skolem_X77), p101(skolem_X77)
% 0.17/0.38
% 0.17/0.38 [7] GAMMA_FORALL : ! [X3_3] : (r1(X3_3, X3_3))
% 0.17/0.38 -> [8] r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [8] GAMMA_FORALL : ! [X4_4, Y5_5, Z6_6] : (((r1(X4_4, Y5_5) & r1(Y5_5, Z6_6)) => r1(X4_4, Z6_6)))
% 0.17/0.38 -> [9] ((r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77)) => r1(skolem_X77, skolem_X77))
% 0.17/0.38
% 0.17/0.38 [9] BETA_IMPLY : ((r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77)) => r1(skolem_X77, skolem_X77))
% 0.17/0.38 -> [10] ~(r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77))
% 0.17/0.38 -> [11] r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [10] BETA_NOT_AND : ~(r1(skolem_X77, skolem_X77) & r1(skolem_X77, skolem_X77))
% 0.17/0.38 -> [12] ~r1(skolem_X77, skolem_X77)
% 0.17/0.38 -> [13] ~r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [12] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [13] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [14] BETA_OR : (~r1(skolem_X77, skolem_X77) | ! [X79_9] : ((~r1(skolem_X77, X79_9) | ~(p201(X79_9) & p101(X79_9)))))
% 0.17/0.38 -> [22] ~r1(skolem_X77, skolem_X77)
% 0.17/0.38 -> [23] ! [X79_9] : ((~r1(skolem_X77, X79_9) | ~(p201(X79_9) & p101(X79_9))))
% 0.17/0.38
% 0.17/0.38 [22] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 [23] GAMMA_FORALL : ! [X79_9] : ((~r1(skolem_X77, X79_9) | ~(p201(X79_9) & p101(X79_9))))
% 0.17/0.38 -> [24] (~r1(skolem_X77, skolem_X77) | ~(p201(skolem_X77) & p101(skolem_X77)))
% 0.17/0.38
% 0.17/0.38 [24] BETA_OR : (~r1(skolem_X77, skolem_X77) | ~(p201(skolem_X77) & p101(skolem_X77)))
% 0.17/0.38 -> [25] ~r1(skolem_X77, skolem_X77)
% 0.17/0.38 -> [26] ~(p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38
% 0.17/0.38 [26] BETA_NOT_AND : ~(p201(skolem_X77) & p101(skolem_X77))
% 0.17/0.38 -> [27] ~p201(skolem_X77)
% 0.17/0.38 -> [28] ~p101(skolem_X77)
% 0.17/0.38
% 0.17/0.38 [28] CLOSURE : ~p101(skolem_X77)
% 0.17/0.38
% 0.17/0.38 [27] CLOSURE : ~p201(skolem_X77)
% 0.17/0.38
% 0.17/0.38 [25] CLOSURE : ~r1(skolem_X77, skolem_X77)
% 0.17/0.38
% 0.17/0.38 % SZS output end Proof for theBenchmark.p
% 0.17/0.38 [0.043355s][1][Res] 121 goroutines created
% 0.17/0.38 ==== Result ====
% 0.17/0.38 [0.043408s][1][Res] VALID
% 0.17/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------