TSTP Solution File: SET062+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 04:15:07 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n010.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 01:46:42 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 [0.000049s][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
% 0.12/0.35 % 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] : (subset(empty_set, 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] : (subset(empty_set, 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] : (subset(empty_set, A33_33))
% 0.12/0.35 -> [3] ~subset(empty_set, skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [3] Rewrite : ~subset(empty_set, skolem_A3333)
% 0.12/0.35 -> [4] ~(member(skolem_X77(empty_set, skolem_A3333), empty_set) => member(skolem_X77(empty_set, skolem_A3333), skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [4] ALPHA_NOT_IMPLY : ~(member(skolem_X77(empty_set, skolem_A3333), empty_set) => member(skolem_X77(empty_set, skolem_A3333), skolem_A3333))
% 0.12/0.35 -> [5] member(skolem_X77(empty_set, skolem_A3333), empty_set), ~member(skolem_X77(empty_set, skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [5] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 0.12/0.35 -> [6] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.12/0.35
% 0.12/0.35 [6] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.12/0.35 -> [7] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 0.12/0.35 -> [8] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 0.12/0.35
% 0.12/0.35 [8] Rewrite : subset(X10_0_0, X10_0_0)
% 0.12/0.35 -> [10] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 0.12/0.35
% 0.12/0.35 [10] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 0.12/0.35 -> [12] ~member(X18_0_1, empty_set)
% 0.12/0.35
% 0.12/0.35 [12] CLOSURE : ~member(X18_0_1, empty_set)
% 0.12/0.35
% 0.12/0.35 [7] Rewrite : ~subset(X10_0_0, X10_0_0)
% 0.12/0.35 -> [9] ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 0.12/0.35
% 0.12/0.35 [9] 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))
% 0.12/0.35 -> [11] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.12/0.35
% 0.12/0.35 [11] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.015620s][1][Res] 61 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.015654s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
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