TSTP Solution File: SET156+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET156+4 : TPTP v8.1.0. Released v2.2.0.
% 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 04:15:37 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET156+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Sep 3 03:02:10 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.34 Conjecture not found
% 0.11/0.34 Start search
% 0.11/0.34 nb_step : 1 - limit : 15
% 0.11/0.34 Launch Gotab with destructive = true
% 0.18/0.40 % SZS output start Proof for theBenchmark.p
% 0.18/0.40 [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)) => equal_set(difference(E35_35, intersection(A33_33, B34_34)), union(difference(E35_35, A33_33), difference(E35_35, B34_34))))))
% 0.18/0.40 -> [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)) => equal_set(difference(E35_35, intersection(A33_33, B34_34)), union(difference(E35_35, A33_33), difference(E35_35, B34_34)))))
% 0.18/0.40
% 0.18/0.40 [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))))
% 0.18/0.40 -> [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)))
% 0.18/0.40
% 0.18/0.40 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34, E35_35] : (((subset(A33_33, E35_35) & subset(B34_34, E35_35)) => equal_set(difference(E35_35, intersection(A33_33, B34_34)), union(difference(E35_35, A33_33), difference(E35_35, B34_34)))))
% 0.18/0.40 -> [3] ~((subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)) => equal_set(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))))
% 0.18/0.40
% 0.18/0.40 [3] ALPHA_NOT_IMPLY : ~((subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)) => equal_set(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))))
% 0.18/0.40 -> [4] (subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535)), ~equal_set(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [4] Rewrite : ~equal_set(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [5] ~(subset(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))) & subset(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))))
% 0.18/0.40
% 0.18/0.40 [5] ALPHA_AND : (subset(skolem_A3333, skolem_E3535) & subset(skolem_B3434, skolem_E3535))
% 0.18/0.40 -> [6] subset(skolem_A3333, skolem_E3535), subset(skolem_B3434, skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [6] Rewrite : subset(skolem_A3333, skolem_E3535)
% 0.18/0.40 -> [7] ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, skolem_E3535)))
% 0.18/0.40
% 0.18/0.40 [7] Rewrite : subset(skolem_B3434, skolem_E3535)
% 0.18/0.40 -> [8] ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_E3535)))
% 0.18/0.40
% 0.18/0.40 [8] BETA_NOT_AND : ~(subset(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))) & subset(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))))
% 0.18/0.40 -> [9] ~subset(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [10] ~subset(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [10] Rewrite : ~subset(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [11] ~(member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))))
% 0.18/0.40
% 0.18/0.40 [11] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))) => member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))))
% 0.18/0.40 -> [13] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [13] Rewrite : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [15] (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_A3333)) | member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [15] Rewrite : ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [17] ~(member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [17] BETA_OR : (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_A3333)) | member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [19] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_A3333))
% 0.18/0.40 -> [20] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [20] Rewrite : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_B3434))
% 0.18/0.40 -> [22] (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [22] ALPHA_AND : (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40 -> [24] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535), ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [24] BETA_NOT_AND : ~(member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [28] ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535)
% 0.18/0.40 -> [29] ~~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [28] CLOSURE : ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [29] ALPHA_NOT_NOT : ~~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40 -> [33] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [33] Rewrite : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40 -> [35] (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333) & member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [35] ALPHA_AND : (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333) & member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40 -> [38] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333), member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [38] CLOSURE : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [19] Rewrite : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), difference(skolem_E3535, skolem_A3333))
% 0.18/0.40 -> [23] (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333))
% 0.18/0.40
% 0.18/0.40 [23] ALPHA_AND : (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333))
% 0.18/0.40 -> [25] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535), ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [25] BETA_NOT_AND : ~(member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [30] ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535)
% 0.18/0.40 -> [31] ~~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [30] CLOSURE : ~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [31] ALPHA_NOT_NOT : ~~member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40 -> [34] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [34] Rewrite : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40 -> [37] (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333) & member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [37] ALPHA_AND : (member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333) & member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.18/0.40 -> [41] member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333), member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [41] CLOSURE : member(skolem_X77(union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [9] Rewrite : ~subset(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [12] ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))) => member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))))
% 0.18/0.40
% 0.18/0.40 [12] ALPHA_NOT_IMPLY : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))) => member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))))
% 0.18/0.40 -> [14] member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434))), ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [14] Rewrite : member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [16] (member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [16] Rewrite : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [18] ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_A3333)) | member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40
% 0.18/0.40 [18] ALPHA_AND : (member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), intersection(skolem_A3333, skolem_B3434)))
% 0.18/0.40 -> [21] member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535), ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [21] Rewrite : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), intersection(skolem_A3333, skolem_B3434))
% 0.18/0.40 -> [26] ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333) & member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [26] ALPHA_NOT_OR : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_A3333)) | member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_B3434)))
% 0.18/0.40 -> [27] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_A3333)), ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [27] Rewrite : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_A3333))
% 0.18/0.40 -> [32] ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333))
% 0.18/0.40
% 0.18/0.40 [32] Rewrite : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), difference(skolem_E3535, skolem_B3434))
% 0.18/0.40 -> [36] ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434))
% 0.18/0.40
% 0.18/0.40 [36] BETA_NOT_AND : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333) & member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434))
% 0.18/0.40 -> [39] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40 -> [40] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [39] BETA_NOT_AND : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333))
% 0.18/0.40 -> [42] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40 -> [43] ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [42] CLOSURE : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [43] ALPHA_NOT_NOT : ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40 -> [46] member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [46] CLOSURE : member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [40] BETA_NOT_AND : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333))
% 0.18/0.40 -> [44] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40 -> [45] ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [44] CLOSURE : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [45] ALPHA_NOT_NOT : ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40 -> [47] member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_A3333)
% 0.18/0.40
% 0.18/0.40 [47] BETA_NOT_AND : ~(member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535) & ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434))
% 0.18/0.40 -> [48] ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40 -> [49] ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [48] CLOSURE : ~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_E3535)
% 0.18/0.40
% 0.18/0.40 [49] ALPHA_NOT_NOT : ~~member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434)
% 0.18/0.40 -> [50] member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 [50] CLOSURE : member(skolem_X77(difference(skolem_E3535, intersection(skolem_A3333, skolem_B3434)), union(difference(skolem_E3535, skolem_A3333), difference(skolem_E3535, skolem_B3434))), skolem_B3434)
% 0.18/0.40
% 0.18/0.40 % SZS output end Proof for theBenchmark.p
% 0.18/0.40 [0.070281s][1][Res] 221 goroutines created
% 0.18/0.40 ==== Result ====
% 0.18/0.40 [0.070316s][1][Res] VALID
% 0.18/0.40 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------