TSTP Solution File: SET700+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 04:17:11 EDT 2022
% Result : Theorem 4.96s 1.20s
% Output : Proof 4.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n011.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 07:22:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.33 [DMT] DMT loaded with preskolemization
% 0.18/0.33 [EQ] equality loaded.
% 0.18/0.33 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.34 Conjecture not found
% 0.18/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 15
% 0.18/0.34 Launch Gotab with destructive = true
% 4.96/1.20 % SZS output start Proof for theBenchmark.p
% 4.96/1.20 [0] ALPHA_AND : ((! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))) & ~! [A33_33, B34_34, E35_35] : (((subset(A33_33, E35_35) & subset(B34_34, E35_35)) => (subset(A33_33, B34_34) <=> subset(intersection(A33_33, difference(E35_35, B34_34)), B34_34)))))
% 4.96/1.20 -> [1] (! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))), ~! [A33_33, B34_34, E35_35] : (((subset(A33_33, E35_35) & subset(B34_34, E35_35)) => (subset(A33_33, B34_34) <=> subset(intersection(A33_33, difference(E35_35, B34_34)), B34_34))))
% 4.96/1.20
% 4.96/1.20 [1] ALPHA_AND : (! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23))))
% 4.96/1.20 -> [2] ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))), ! [X18_18] : (~member(X18_18, empty_set)), ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 4.96/1.20
% 4.96/1.20 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34, E35_35] : (((subset(A33_33, E35_35) & subset(B34_34, E35_35)) => (subset(A33_33, B34_34) <=> subset(intersection(A33_33, difference(E35_35, B34_34)), B34_34))))
% 4.96/1.20 -> [3] ~((subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)) => (subset(skolem_A3333, skolem_B3434) <=> subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)))
% 4.96/1.20
% 4.96/1.20 [3] ALPHA_NOT_IMPLY : ~((subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)) => (subset(skolem_A3333, skolem_B3434) <=> subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)))
% 4.96/1.20 -> [4] (subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)), ~(subset(skolem_A3333, skolem_B3434) <=> subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [4] ALPHA_AND : (subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535))
% 4.96/1.20 -> [5] subset(skolem_A3333, skolem_E3535), subset(skolem_B3434, skolem_E3535)
% 4.96/1.20
% 4.96/1.20 [5] Rewrite : subset(skolem_A3333, skolem_E3535)
% 4.96/1.20 -> [6] ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_E3535)))
% 4.96/1.20
% 4.96/1.20 [6] Rewrite : subset(skolem_B3434, skolem_E3535)
% 4.96/1.20 -> [7] ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_E3535)))
% 4.96/1.20
% 4.96/1.20 [7] BETA_NOT_EQUIV : ~(subset(skolem_A3333, skolem_B3434) <=> subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434))
% 4.96/1.20 -> [8] ~subset(skolem_A3333, skolem_B3434), subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)
% 4.96/1.20 -> [9] subset(skolem_A3333, skolem_B3434), ~subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [9] Rewrite : subset(skolem_A3333, skolem_B3434)
% 4.96/1.20 -> [10] ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_B3434)))
% 4.96/1.20
% 4.96/1.20 [10] Rewrite : ~subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)
% 4.96/1.20 -> [12] ~(member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [12] ALPHA_NOT_IMPLY : ~(member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [14] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))), ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [14] Rewrite : member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [16] (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) & member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20
% 4.96/1.20 [16] ALPHA_AND : (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) & member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [20] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333), member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [20] Rewrite : member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20 -> [25] (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535) & ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [25] ALPHA_AND : (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535) & ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [29] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535), ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [29] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 4.96/1.20 -> [30] (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 4.96/1.20
% 4.96/1.20 [30] BETA_EQUIV : (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 4.96/1.20 -> [31] ~member(X10_1_0, power_set(X10_1_0)), ~subset(X10_1_0, X10_1_0)
% 4.96/1.20 -> [32] member(X10_1_0, power_set(X10_1_0)), subset(X10_1_0, X10_1_0)
% 4.96/1.20
% 4.96/1.20 [31] Rewrite : ~subset(X10_1_0, X10_1_0)
% 4.96/1.20 -> [33] ~(member(skolem_X77(X10_1_0, X10_1_0), X10_1_0) => member(skolem_X77(X10_1_0, X10_1_0), X10_1_0))
% 4.96/1.20
% 4.96/1.20 [33] ALPHA_NOT_IMPLY : ~(member(skolem_X77(X10_1_0, X10_1_0), X10_1_0) => member(skolem_X77(X10_1_0, X10_1_0), X10_1_0))
% 4.96/1.20 -> [35] member(skolem_X77(X10_1_0, X10_1_0), X10_1_0), ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 4.96/1.20
% 4.96/1.20 [35] CLOSURE : ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 4.96/1.20
% 4.96/1.20 [32] Rewrite : subset(X10_1_0, X10_1_0)
% 4.96/1.20 -> [34] ! [X7_7] : ((member(X7_7, X10_1_0) => member(X7_7, X10_1_0)))
% 4.96/1.20
% 4.96/1.20 [34] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 4.96/1.20 -> [36] ~member(X18_1_1, empty_set)
% 4.96/1.20
% 4.96/1.20 [36] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 4.96/1.20 -> [37] (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 4.96/1.20
% 4.96/1.20 [37] BETA_EQUIV : (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 4.96/1.20 -> [38] ~member(A23_1_2, singleton(A23_1_2)), ~=(A23_1_2, A23_1_2)
% 4.96/1.20 -> [39] member(A23_1_2, singleton(A23_1_2)), =(A23_1_2, A23_1_2)
% 4.96/1.20
% 4.96/1.20 [38] CLOSURE : ~=(A23_1_2, A23_1_2)
% 4.96/1.20
% 4.96/1.20 [39] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_E3535)))
% 4.96/1.20 -> [52] (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535))
% 4.96/1.20
% 4.96/1.20 [52] BETA_IMPLY : (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535))
% 4.96/1.20 -> [53] ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [54] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_E3535)
% 4.96/1.20
% 4.96/1.20 [53] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [54] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_E3535)))
% 4.96/1.20 -> [69] (member(X7_5_4, skolem_B3434) => member(X7_5_4, skolem_E3535))
% 4.96/1.20
% 4.96/1.20 [69] BETA_IMPLY : (member(X7_5_4, skolem_B3434) => member(X7_5_4, skolem_E3535))
% 4.96/1.20 -> [70] ~member(X7_5_4, skolem_B3434)
% 4.96/1.20 -> [71] member(X7_5_4, skolem_E3535)
% 4.96/1.20
% 4.96/1.20 [71] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_B3434)))
% 4.96/1.20 -> [74] (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [74] BETA_IMPLY : (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [75] ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [76] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [76] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [75] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [70] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_B3434)))
% 4.96/1.20 -> [80] (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [80] BETA_IMPLY : (member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333) => member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [81] ~member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [82] member(skolem_X77(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [82] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [81] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [8] Rewrite : ~subset(skolem_A3333, skolem_B3434)
% 4.96/1.20 -> [11] ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [11] Rewrite : subset(intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)), skolem_B3434)
% 4.96/1.20 -> [13] ! [X7_7] : ((member(X7_7, intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(X7_7, skolem_B3434)))
% 4.96/1.20
% 4.96/1.20 [13] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [15] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333), ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [15] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 4.96/1.20 -> [17] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 4.96/1.20
% 4.96/1.20 [17] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 4.96/1.20 -> [18] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 4.96/1.20 -> [19] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 4.96/1.20
% 4.96/1.20 [18] Rewrite : ~subset(X10_0_0, X10_0_0)
% 4.96/1.20 -> [21] ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 4.96/1.20
% 4.96/1.20 [21] ALPHA_NOT_IMPLY : ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 4.96/1.20 -> [22] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 4.96/1.20
% 4.96/1.20 [22] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 4.96/1.20
% 4.96/1.20 [19] Rewrite : subset(X10_0_0, X10_0_0)
% 4.96/1.20 -> [23] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 4.96/1.20
% 4.96/1.20 [23] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 4.96/1.20 -> [24] ~member(X18_0_1, empty_set)
% 4.96/1.20
% 4.96/1.20 [24] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 4.96/1.20 -> [26] (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 4.96/1.20
% 4.96/1.20 [26] BETA_EQUIV : (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 4.96/1.20 -> [27] ~member(A23_0_2, singleton(A23_0_2)), ~=(A23_0_2, A23_0_2)
% 4.96/1.20 -> [28] member(A23_0_2, singleton(A23_0_2)), =(A23_0_2, A23_0_2)
% 4.96/1.20
% 4.96/1.20 [27] CLOSURE : ~=(A23_0_2, A23_0_2)
% 4.96/1.20
% 4.96/1.20 [28] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_E3535)))
% 4.96/1.20 -> [40] (member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535))
% 4.96/1.20
% 4.96/1.20 [40] BETA_IMPLY : (member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535))
% 4.96/1.20 -> [41] ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [42] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535)
% 4.96/1.20
% 4.96/1.20 [41] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [42] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_E3535)))
% 4.96/1.20 -> [43] (member(X7_1_4, skolem_B3434) => member(X7_1_4, skolem_E3535))
% 4.96/1.20
% 4.96/1.20 [43] BETA_IMPLY : (member(X7_1_4, skolem_B3434) => member(X7_1_4, skolem_E3535))
% 4.96/1.20 -> [44] ~member(X7_1_4, skolem_B3434)
% 4.96/1.20 -> [45] member(X7_1_4, skolem_E3535)
% 4.96/1.20
% 4.96/1.20 [45] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(X7_7, skolem_B3434)))
% 4.96/1.20 -> [46] (member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [46] BETA_IMPLY : (member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [47] ~member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [48] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [48] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [47] BETA_NOT_AND : ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) & member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [72] ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [73] ~member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [72] CLOSURE : ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333)
% 4.96/1.20
% 4.96/1.20 [73] Rewrite : ~member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20 -> [77] ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535) & ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [77] BETA_NOT_AND : ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535) & ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [78] ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535)
% 4.96/1.20 -> [79] ~~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [79] ALPHA_NOT_NOT : ~~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20 -> [83] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [83] CLOSURE : member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [78] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [44] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(X7_7, skolem_B3434)))
% 4.96/1.20 -> [49] (member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [49] BETA_IMPLY : (member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [50] ~member(skolem_X77(skolem_A3333, skolem_B3434), intersection(skolem_A3333, difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [51] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [51] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 [50] BETA_NOT_AND : ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333) & member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434)))
% 4.96/1.20 -> [84] ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333)
% 4.96/1.20 -> [85] ~member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [84] CLOSURE : ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_A3333)
% 4.96/1.20
% 4.96/1.20 [85] Rewrite : ~member(skolem_X77(skolem_A3333, skolem_B3434), difference(skolem_E3535, skolem_B3434))
% 4.96/1.20 -> [86] ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535) & ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20
% 4.96/1.20 [86] BETA_NOT_AND : ~(member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535) & ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434))
% 4.96/1.20 -> [87] ~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_E3535)
% 4.96/1.20 -> [88] ~~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [88] ALPHA_NOT_NOT : ~~member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20 -> [89] member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [89] CLOSURE : member(skolem_X77(skolem_A3333, skolem_B3434), skolem_B3434)
% 4.96/1.20
% 4.96/1.20 [87] CLOSURE : =
% 4.96/1.20
% 4.96/1.20 % SZS output end Proof for theBenchmark.p
% 4.96/1.20 [0.865486s][1][Res] 1781 goroutines created
% 4.96/1.20 ==== Result ====
% 4.96/1.20 [0.865532s][1][Res] VALID
% 4.96/1.20 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------