TSTP Solution File: SET044+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 04:15:00 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Sat Sep 3 02:07:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 5
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.36 % SZS output start Proof for theBenchmark.p
% 0.12/0.36 [0] ALPHA_NOT_IMPLY : ~(? [Y5_5] : (! [X6_6] : ((element(X6_6, Y5_5) <=> element(X6_6, X6_6)))) => ~! [X17_7] : (? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, X17_7))))))
% 0.12/0.36 -> [1] ? [Y5_5] : (! [X6_6] : ((element(X6_6, Y5_5) <=> element(X6_6, X6_6)))), ~~! [X17_7] : (? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, X17_7)))))
% 0.12/0.36
% 0.12/0.36 [1] ALPHA_NOT_NOT : ~~! [X17_7] : (? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, X17_7)))))
% 0.12/0.36 -> [2] ! [X17_7] : (? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, X17_7)))))
% 0.12/0.36
% 0.12/0.36 [2] DELTA_EXISTS : ? [Y5_5] : (! [X6_6] : ((element(X6_6, Y5_5) <=> element(X6_6, X6_6))))
% 0.12/0.36 -> [3] ! [X6_6] : ((element(X6_6, skolem_Y55) <=> element(X6_6, X6_6)))
% 0.12/0.36
% 0.12/0.36 [3] GAMMA_FORALL : ! [X17_7] : (? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, X17_7)))))
% 0.12/0.36 -> [4] ? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, skolem_Y55))))
% 0.12/0.36
% 0.12/0.36 [4] DELTA_EXISTS : ? [Y18_8] : (! [Z9_9] : ((element(Z9_9, Y18_8) <=> ~element(Z9_9, skolem_Y55))))
% 0.12/0.36 -> [5] ! [Z9_9] : ((element(Z9_9, skolem_Y188(skolem_Y55)) <=> ~element(Z9_9, skolem_Y55)))
% 0.12/0.36
% 0.12/0.36 [5] GAMMA_FORALL : ! [X6_6] : ((element(X6_6, skolem_Y55) <=> element(X6_6, X6_6)))
% 0.12/0.36 -> [6] (element(skolem_Y188(skolem_Y55), skolem_Y55) <=> element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)))
% 0.12/0.36
% 0.12/0.36 [6] BETA_EQUIV : (element(skolem_Y188(skolem_Y55), skolem_Y55) <=> element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)))
% 0.12/0.36 -> [7] ~element(skolem_Y188(skolem_Y55), skolem_Y55), ~element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55))
% 0.12/0.36 -> [8] element(skolem_Y188(skolem_Y55), skolem_Y55), element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55))
% 0.12/0.36
% 0.12/0.36 [8] GAMMA_FORALL : ! [Z9_9] : ((element(Z9_9, skolem_Y188(skolem_Y55)) <=> ~element(Z9_9, skolem_Y55)))
% 0.12/0.36 -> [10] (element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)) <=> ~element(skolem_Y188(skolem_Y55), skolem_Y55))
% 0.12/0.36
% 0.12/0.36 [10] BETA_EQUIV : (element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)) <=> ~element(skolem_Y188(skolem_Y55), skolem_Y55))
% 0.12/0.36 -> [13] ~element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)), ~~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36 -> [14] element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)), ~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 [13] ALPHA_NOT_NOT : ~~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36 -> [16] element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 [16] CLOSURE : ~~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 [14] CLOSURE : ~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 [7] GAMMA_FORALL : ! [Z9_9] : ((element(Z9_9, skolem_Y188(skolem_Y55)) <=> ~element(Z9_9, skolem_Y55)))
% 0.12/0.36 -> [9] (element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)) <=> ~element(skolem_Y188(skolem_Y55), skolem_Y55))
% 0.12/0.36
% 0.12/0.36 [9] BETA_EQUIV : (element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)) <=> ~element(skolem_Y188(skolem_Y55), skolem_Y55))
% 0.12/0.36 -> [11] ~element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)), ~~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36 -> [12] element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55)), ~element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 [12] CLOSURE : element(skolem_Y188(skolem_Y55), skolem_Y188(skolem_Y55))
% 0.12/0.36
% 0.12/0.36 [15] CLOSURE : element(skolem_Y188(skolem_Y55), skolem_Y55)
% 0.12/0.36
% 0.12/0.36 % SZS output end Proof for theBenchmark.p
% 0.12/0.36 [0.017061s][1][Res] 27 goroutines created
% 0.12/0.36 ==== Result ====
% 0.12/0.36 [0.017102s][1][Res] VALID
% 0.12/0.36 % SZS status Theorem for theBenchmark.p
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