TSTP Solution File: SET047+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.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 04:15:02 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.32 % Computer : n008.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sat Sep 3 01:51:40 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.33 [DMT] DMT loaded with preskolemization
% 0.13/0.33 [EQ] equality loaded.
% 0.13/0.33 [0.000048s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.33 Start search
% 0.13/0.33 nb_step : 1 - limit : 3
% 0.13/0.33 Launch Gotab with destructive = true
% 0.13/0.34 % SZS output start Proof for theBenchmark.p
% 0.13/0.34 [0] DELTA_NOT_FORALL : ~! [X6_6, Y7_7] : ((set_equal(X6_6, Y7_7) <=> set_equal(Y7_7, X6_6)))
% 0.13/0.34 -> [1] ~(set_equal(skolem_X66, skolem_Y77) <=> set_equal(skolem_Y77, skolem_X66))
% 0.13/0.34
% 0.13/0.34 [1] BETA_NOT_EQUIV : ~(set_equal(skolem_X66, skolem_Y77) <=> set_equal(skolem_Y77, skolem_X66))
% 0.13/0.34 -> [2] ~set_equal(skolem_X66, skolem_Y77), set_equal(skolem_Y77, skolem_X66)
% 0.13/0.34 -> [3] set_equal(skolem_X66, skolem_Y77), ~set_equal(skolem_Y77, skolem_X66)
% 0.13/0.34
% 0.13/0.34 [3] Rewrite : set_equal(skolem_X66, skolem_Y77)
% 0.13/0.34 -> [4] ! [Z5_5] : ((element(Z5_5, skolem_X66) <=> element(Z5_5, skolem_Y77)))
% 0.13/0.34
% 0.13/0.34 [4] Rewrite : ~set_equal(skolem_Y77, skolem_X66)
% 0.13/0.34 -> [6] ~(element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66))
% 0.13/0.34
% 0.13/0.34 [6] BETA_NOT_EQUIV : ~(element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66))
% 0.13/0.34 -> [8] ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77), element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.13/0.34 -> [9] element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77), ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [9] GAMMA_FORALL : ! [Z5_5] : ((element(Z5_5, skolem_X66) <=> element(Z5_5, skolem_Y77)))
% 0.13/0.34 -> [12] (element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.13/0.34
% 0.13/0.34 [12] BETA_EQUIV : (element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.13/0.34 -> [17] ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34 -> [18] element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [17] CLOSURE : ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [18] CLOSURE : element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [8] GAMMA_FORALL : ! [Z5_5] : ((element(Z5_5, skolem_X66) <=> element(Z5_5, skolem_Y77)))
% 0.13/0.34 -> [13] (element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.13/0.34
% 0.13/0.34 [13] BETA_EQUIV : (element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.13/0.34 -> [15] ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34 -> [16] element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [15] CLOSURE : ~element(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [16] CLOSURE : element(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [2] Rewrite : ~set_equal(skolem_X66, skolem_Y77)
% 0.13/0.34 -> [5] ~(element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77))
% 0.13/0.34
% 0.13/0.34 [5] Rewrite : set_equal(skolem_Y77, skolem_X66)
% 0.13/0.34 -> [7] ! [Z5_5] : ((element(Z5_5, skolem_Y77) <=> element(Z5_5, skolem_X66)))
% 0.13/0.34
% 0.13/0.34 [7] BETA_NOT_EQUIV : ~(element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77))
% 0.13/0.34 -> [10] ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66), element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.13/0.34 -> [11] element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66), ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [10] GAMMA_FORALL : ! [Z5_5] : ((element(Z5_5, skolem_Y77) <=> element(Z5_5, skolem_X66)))
% 0.13/0.34 -> [14] (element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.13/0.34
% 0.13/0.34 [14] BETA_EQUIV : (element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.13/0.34 -> [19] ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34 -> [20] element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [19] CLOSURE : ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 [20] CLOSURE : element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [11] GAMMA_FORALL : ! [Z5_5] : ((element(Z5_5, skolem_Y77) <=> element(Z5_5, skolem_X66)))
% 0.13/0.34 -> [21] (element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.13/0.34
% 0.13/0.34 [21] BETA_EQUIV : (element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.13/0.34 -> [22] ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34 -> [23] element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [22] CLOSURE : ~element(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.13/0.34
% 0.13/0.34 [23] CLOSURE : element(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.13/0.34
% 0.13/0.34 % SZS output end Proof for theBenchmark.p
% 0.13/0.34 [0.011174s][1][Res] 19 goroutines created
% 0.13/0.34 ==== Result ====
% 0.13/0.34 [0.011211s][1][Res] VALID
% 0.13/0.34 % SZS status Theorem for theBenchmark.p
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