TSTP Solution File: SET148+4 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n026.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 04:15:35 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n026.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 03:10:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000045s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Conjecture not found
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 15
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [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] : (equal_set(intersection(A33_33, A33_33), A33_33)))
% 0.12/0.35 -> [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] : (equal_set(intersection(A33_33, A33_33), A33_33))
% 0.12/0.35
% 0.12/0.35 [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))))
% 0.12/0.35 -> [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)))
% 0.12/0.35
% 0.12/0.35 [2] DELTA_NOT_FORALL : ~! [A33_33] : (equal_set(intersection(A33_33, A33_33), A33_33))
% 0.12/0.35 -> [3] ~equal_set(intersection(skolem_A3333, skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [3] Rewrite : ~equal_set(intersection(skolem_A3333, skolem_A3333), skolem_A3333)
% 0.12/0.35 -> [4] ~(subset(intersection(skolem_A3333, skolem_A3333), skolem_A3333) & subset(skolem_A3333, intersection(skolem_A3333, skolem_A3333)))
% 0.12/0.35
% 0.12/0.35 [4] BETA_NOT_AND : ~(subset(intersection(skolem_A3333, skolem_A3333), skolem_A3333) & subset(skolem_A3333, intersection(skolem_A3333, skolem_A3333)))
% 0.12/0.35 -> [5] ~subset(intersection(skolem_A3333, skolem_A3333), skolem_A3333)
% 0.12/0.35 -> [6] ~subset(skolem_A3333, intersection(skolem_A3333, skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [6] Rewrite : ~subset(skolem_A3333, intersection(skolem_A3333, skolem_A3333))
% 0.12/0.35 -> [7] ~(member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333) => member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), intersection(skolem_A3333, skolem_A3333)))
% 0.12/0.35
% 0.12/0.35 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333) => member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), intersection(skolem_A3333, skolem_A3333)))
% 0.12/0.35 -> [9] member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333), ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), intersection(skolem_A3333, skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [9] Rewrite : ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), intersection(skolem_A3333, skolem_A3333))
% 0.12/0.35 -> [12] ~(member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333) & member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [12] BETA_NOT_AND : ~(member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333) & member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333))
% 0.12/0.35 -> [13] ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333)
% 0.12/0.35 -> [14] ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [13] CLOSURE : ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [14] CLOSURE : ~member(skolem_X77(skolem_A3333, intersection(skolem_A3333, skolem_A3333)), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [5] Rewrite : ~subset(intersection(skolem_A3333, skolem_A3333), skolem_A3333)
% 0.12/0.35 -> [8] ~(member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), intersection(skolem_A3333, skolem_A3333)) => member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), intersection(skolem_A3333, skolem_A3333)) => member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333))
% 0.12/0.35 -> [10] member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), intersection(skolem_A3333, skolem_A3333)), ~member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [10] Rewrite : member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), intersection(skolem_A3333, skolem_A3333))
% 0.12/0.35 -> [11] (member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333) & member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [11] ALPHA_AND : (member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333) & member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333))
% 0.12/0.35 -> [15] member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [15] CLOSURE : member(skolem_X77(intersection(skolem_A3333, skolem_A3333), skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.018254s][1][Res] 55 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.018288s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------