TSTP Solution File: SET027+4 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 04:14:54 EDT 2022
% Result : Theorem 0.64s 0.55s
% Output : Proof 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n003.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 01:24:10 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 15
% 0.12/0.34 Launch Gotab with destructive = true
% 0.64/0.55 % SZS output start Proof for theBenchmark.p
% 0.64/0.55 [0] ALPHA_AND : ((! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))) & ~! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36))))
% 0.64/0.55 -> [1] (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))), ~! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36)))
% 0.64/0.55
% 0.64/0.55 [1] ALPHA_AND : (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24))))
% 0.64/0.55 -> [2] ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))), ! [X19_19] : (~member(X19_19, empty_set)), ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 0.64/0.55
% 0.64/0.55 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36)))
% 0.64/0.55 -> [3] ~((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) => subset(skolem_A3434, skolem_C3636))
% 0.64/0.55
% 0.64/0.55 [3] ALPHA_NOT_IMPLY : ~((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) => subset(skolem_A3434, skolem_C3636))
% 0.64/0.55 -> [4] (subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)), ~subset(skolem_A3434, skolem_C3636)
% 0.64/0.55
% 0.64/0.55 [4] Rewrite : ~subset(skolem_A3434, skolem_C3636)
% 0.64/0.55 -> [5] ~(member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 0.64/0.55
% 0.64/0.55 [5] ALPHA_AND : (subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636))
% 0.64/0.55 -> [6] subset(skolem_A3434, skolem_B3535), subset(skolem_B3535, skolem_C3636)
% 0.64/0.55
% 0.64/0.55 [6] Rewrite : subset(skolem_A3434, skolem_B3535)
% 0.64/0.55 -> [7] ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 0.64/0.55
% 0.64/0.55 [7] Rewrite : subset(skolem_B3535, skolem_C3636)
% 0.64/0.55 -> [8] ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_C3636)))
% 0.64/0.55
% 0.64/0.55 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 0.64/0.55 -> [9] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434), ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636)
% 0.64/0.55
% 0.64/0.55 [9] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 0.64/0.55 -> [10] (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 0.64/0.55
% 0.64/0.55 [10] BETA_EQUIV : (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 0.64/0.55 -> [11] ~member(X11_0_0, power_set(X11_0_0)), ~subset(X11_0_0, X11_0_0)
% 0.64/0.55 -> [12] member(X11_0_0, power_set(X11_0_0)), subset(X11_0_0, X11_0_0)
% 0.64/0.55
% 0.64/0.55 [11] Rewrite : ~subset(X11_0_0, X11_0_0)
% 0.64/0.55 -> [13] ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 0.64/0.55
% 0.64/0.55 [13] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 0.64/0.55 -> [15] member(skolem_X88(X11_0_0, X11_0_0), X11_0_0), ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 0.64/0.55
% 0.64/0.55 [15] CLOSURE : ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 0.64/0.55
% 0.64/0.55 [12] Rewrite : subset(X11_0_0, X11_0_0)
% 0.64/0.55 -> [14] ! [X8_8] : ((member(X8_8, X11_0_0) => member(X8_8, X11_0_0)))
% 0.64/0.55
% 0.64/0.55 [14] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 0.64/0.55 -> [16] ~member(X19_0_1, empty_set)
% 0.64/0.55
% 0.64/0.55 [16] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 0.64/0.55 -> [17] (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 0.64/0.55
% 0.64/0.55 [17] BETA_EQUIV : (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 0.64/0.55 -> [18] ~member(A24_0_2, singleton(A24_0_2)), ~=(A24_0_2, A24_0_2)
% 0.64/0.55 -> [19] member(A24_0_2, singleton(A24_0_2)), =(A24_0_2, A24_0_2)
% 0.64/0.55
% 0.64/0.55 [18] CLOSURE : ~=(A24_0_2, A24_0_2)
% 0.64/0.55
% 0.64/0.55 [19] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 0.64/0.55 -> [20] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 0.64/0.55
% 0.64/0.55 [20] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 0.64/0.55 -> [21] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434)
% 0.64/0.55 -> [22] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 0.64/0.55
% 0.64/0.55 [21] CLOSURE : =
% 0.64/0.55
% 0.64/0.55 [22] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_C3636)))
% 0.64/0.55 -> [23] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 0.64/0.55
% 0.64/0.55 [23] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 0.64/0.55 -> [24] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 0.64/0.55 -> [25] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636)
% 0.64/0.55
% 0.64/0.55 [25] CLOSURE : =
% 0.64/0.55
% 0.64/0.55 [24] CLOSURE : =
% 0.64/0.55
% 0.64/0.55 % SZS output end Proof for theBenchmark.p
% 0.64/0.55 [0.210851s][1][Res] 331 goroutines created
% 0.64/0.55 ==== Result ====
% 0.64/0.55 [0.210886s][1][Res] VALID
% 0.64/0.55 % SZS status Theorem for theBenchmark.p
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