TSTP Solution File: SET046+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET046+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 : Tue Sep 20 04:15:01 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET046+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 01:56:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000045s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 3
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.37 % SZS output start Proof for theBenchmark.p
% 0.12/0.37 [0] ALPHA_NOT_NOT : ~~? [Y3_3] : (! [X4_4] : ((element(X4_4, Y3_3) <=> ~? [Z5_5] : ((element(X4_4, Z5_5) & element(Z5_5, X4_4))))))
% 0.12/0.37 -> [1] ? [Y3_3] : (! [X4_4] : ((element(X4_4, Y3_3) <=> ~? [Z5_5] : ((element(X4_4, Z5_5) & element(Z5_5, X4_4))))))
% 0.12/0.37
% 0.12/0.37 [1] DELTA_EXISTS : ? [Y3_3] : (! [X4_4] : ((element(X4_4, Y3_3) <=> ~? [Z5_5] : ((element(X4_4, Z5_5) & element(Z5_5, X4_4))))))
% 0.12/0.37 -> [2] ! [X4_4] : ((element(X4_4, skolem_Y33) <=> ~? [Z5_5] : ((element(X4_4, Z5_5) & element(Z5_5, X4_4)))))
% 0.12/0.37
% 0.12/0.37 [2] GAMMA_FORALL : ! [X4_4] : ((element(X4_4, skolem_Y33) <=> ~? [Z5_5] : ((element(X4_4, Z5_5) & element(Z5_5, X4_4)))))
% 0.12/0.37 -> [3] (element(skolem_Y33, skolem_Y33) <=> ~? [Z5_5] : ((element(skolem_Y33, Z5_5) & element(Z5_5, skolem_Y33))))
% 0.12/0.37
% 0.12/0.37 [3] BETA_EQUIV : (element(skolem_Y33, skolem_Y33) <=> ~? [Z5_5] : ((element(skolem_Y33, Z5_5) & element(Z5_5, skolem_Y33))))
% 0.12/0.37 -> [4] ~element(skolem_Y33, skolem_Y33), ~~? [Z5_5] : ((element(skolem_Y33, Z5_5) & element(Z5_5, skolem_Y33)))
% 0.12/0.37 -> [5] element(skolem_Y33, skolem_Y33), ~? [Z5_5] : ((element(skolem_Y33, Z5_5) & element(Z5_5, skolem_Y33)))
% 0.12/0.37
% 0.12/0.37 [5] GAMMA_NOT_EXISTS : ~? [Z5_5] : ((element(skolem_Y33, Z5_5) & element(Z5_5, skolem_Y33)))
% 0.12/0.37 -> [7] ~(element(skolem_Y33, skolem_Y33) & element(skolem_Y33, skolem_Y33))
% 0.12/0.37
% 0.12/0.37 [7] BETA_NOT_AND : ~(element(skolem_Y33, skolem_Y33) & element(skolem_Y33, skolem_Y33))
% 0.12/0.37 -> [8] ~element(skolem_Y33, skolem_Y33)
% 0.12/0.37 -> [9] ~element(skolem_Y33, skolem_Y33)
% 0.12/0.37
% 0.12/0.37 [8] CLOSURE : ~element(skolem_Y33, skolem_Y33)
% 0.12/0.37
% 0.12/0.37 [9] CLOSURE : ~element(skolem_Y33, skolem_Y33)
% 0.12/0.37
% 0.12/0.37 [13] BETA_EQUIV : (element(skolem_Z55(skolem_Y33), skolem_Y33) <=> ~? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33)))))
% 0.12/0.37 -> [22] ~element(skolem_Z55(skolem_Y33), skolem_Y33), ~~? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37 -> [23] element(skolem_Z55(skolem_Y33), skolem_Y33), ~? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37
% 0.12/0.37 [22] ALPHA_NOT_NOT : ~~? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37 -> [24] ? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37
% 0.12/0.37 [24] DELTA_EXISTS : ? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37 -> [25] (element(skolem_Z55(skolem_Y33), skolem_Z55(skolem_Z55(skolem_Y33))) & element(skolem_Z55(skolem_Z55(skolem_Y33)), skolem_Z55(skolem_Y33)))
% 0.12/0.37
% 0.12/0.37 [25] ALPHA_AND : (element(skolem_Z55(skolem_Y33), skolem_Z55(skolem_Z55(skolem_Y33))) & element(skolem_Z55(skolem_Z55(skolem_Y33)), skolem_Z55(skolem_Y33)))
% 0.12/0.37 -> [26] element(skolem_Z55(skolem_Y33), skolem_Z55(skolem_Z55(skolem_Y33))), element(skolem_Z55(skolem_Z55(skolem_Y33)), skolem_Z55(skolem_Y33))
% 0.12/0.37
% 0.12/0.37 [26] CLOSURE : (element(skolem_Z55(skolem_Y33), skolem_Z55(skolem_Z55(skolem_Y33))) & element(skolem_Z55(skolem_Z55(skolem_Y33)), skolem_Z55(skolem_Y33)))
% 0.12/0.37
% 0.12/0.37 [23] GAMMA_NOT_EXISTS : ~? [Z5_5] : ((element(skolem_Z55(skolem_Y33), Z5_5) & element(Z5_5, skolem_Z55(skolem_Y33))))
% 0.12/0.37 -> [27] ~(element(skolem_Z55(skolem_Y33), skolem_Y33) & element(skolem_Y33, skolem_Z55(skolem_Y33)))
% 0.12/0.37
% 0.12/0.37 [27] BETA_NOT_AND : ~(element(skolem_Z55(skolem_Y33), skolem_Y33) & element(skolem_Y33, skolem_Z55(skolem_Y33)))
% 0.12/0.37 -> [28] ~element(skolem_Z55(skolem_Y33), skolem_Y33)
% 0.12/0.37 -> [29] ~element(skolem_Y33, skolem_Z55(skolem_Y33))
% 0.12/0.37
% 0.12/0.37 [28] CLOSURE : ~element(skolem_Z55(skolem_Y33), skolem_Y33)
% 0.12/0.37
% 0.12/0.37 [29] CLOSURE : ~element(skolem_Y33, skolem_Z55(skolem_Y33))
% 0.12/0.37
% 0.12/0.37 % SZS output end Proof for theBenchmark.p
% 0.12/0.37 [0.028893s][1][Res] 41 goroutines created
% 0.12/0.37 ==== Result ====
% 0.12/0.37 [0.028926s][1][Res] VALID
% 0.12/0.37 % SZS status Theorem for theBenchmark.p
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