TSTP Solution File: SET705+4 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 04:17:13 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
% 0.07/0.12 % Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n013.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 07:21:46 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
% 0.12/0.35 % 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] : (member(A33_33, power_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] : (member(A33_33, power_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] : (member(A33_33, power_set(A33_33)))
% 0.12/0.35 -> [3] ~member(skolem_A3333, power_set(skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [3] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 0.12/0.35 -> [4] (member(skolem_A3333, power_set(skolem_A3333)) <=> subset(skolem_A3333, skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [4] BETA_EQUIV : (member(skolem_A3333, power_set(skolem_A3333)) <=> subset(skolem_A3333, skolem_A3333))
% 0.12/0.35 -> [5] ~member(skolem_A3333, power_set(skolem_A3333)), ~subset(skolem_A3333, skolem_A3333)
% 0.12/0.35 -> [6] member(skolem_A3333, power_set(skolem_A3333)), subset(skolem_A3333, skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [6] CLOSURE : member(skolem_A3333, power_set(skolem_A3333))
% 0.12/0.35
% 0.12/0.35 [5] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_A3333, skolem_A3333), skolem_A3333) => member(skolem_X77(skolem_A3333, skolem_A3333), skolem_A3333))
% 0.12/0.35 -> [9] member(skolem_X77(skolem_A3333, skolem_A3333), skolem_A3333), ~member(skolem_X77(skolem_A3333, skolem_A3333), skolem_A3333)
% 0.12/0.35
% 0.12/0.35 [9] CLOSURE : member(skolem_X77(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 [0.015028s][1][Res] 34 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.015058s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------