TSTP Solution File: SET704+4 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET704+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 04:17:12 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET704+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % 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 07:39:23 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 [0.000039s][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
% 0.19/0.48 % SZS output start Proof for theBenchmark.p
% 0.19/0.48 [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, X34_34] : ((member(X34_34, A33_33) => subset(product(A33_33), X34_34))))
% 0.19/0.48 -> [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, X34_34] : ((member(X34_34, A33_33) => subset(product(A33_33), X34_34)))
% 0.19/0.48
% 0.19/0.48 [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))))
% 0.19/0.48 -> [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)))
% 0.19/0.48
% 0.19/0.48 [2] DELTA_NOT_FORALL : ~! [A33_33, X34_34] : ((member(X34_34, A33_33) => subset(product(A33_33), X34_34)))
% 0.19/0.48 -> [3] ~(member(skolem_X3434, skolem_A3333) => subset(product(skolem_A3333), skolem_X3434))
% 0.19/0.48
% 0.19/0.48 [3] ALPHA_NOT_IMPLY : ~(member(skolem_X3434, skolem_A3333) => subset(product(skolem_A3333), skolem_X3434))
% 0.19/0.48 -> [4] member(skolem_X3434, skolem_A3333), ~subset(product(skolem_A3333), skolem_X3434)
% 0.19/0.48
% 0.19/0.48 [4] Rewrite : ~subset(product(skolem_A3333), skolem_X3434)
% 0.19/0.48 -> [5] ~(member(skolem_X77(product(skolem_A3333), skolem_X3434), product(skolem_A3333)) => member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434))
% 0.19/0.48
% 0.19/0.48 [5] ALPHA_NOT_IMPLY : ~(member(skolem_X77(product(skolem_A3333), skolem_X3434), product(skolem_A3333)) => member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434))
% 0.19/0.48 -> [6] member(skolem_X77(product(skolem_A3333), skolem_X3434), product(skolem_A3333)), ~member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434)
% 0.19/0.48
% 0.19/0.48 [6] Rewrite : member(skolem_X77(product(skolem_A3333), skolem_X3434), product(skolem_A3333))
% 0.19/0.48 -> [7] ! [Y32_32] : ((member(Y32_32, skolem_A3333) => member(skolem_X77(product(skolem_A3333), skolem_X3434), Y32_32)))
% 0.19/0.48
% 0.19/0.48 [7] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 0.19/0.48 -> [8] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.19/0.48
% 0.19/0.48 [8] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.19/0.48 -> [9] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 0.19/0.48 -> [10] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 0.19/0.48
% 0.19/0.48 [9] Rewrite : ~subset(X10_0_0, X10_0_0)
% 0.19/0.48 -> [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))
% 0.19/0.48
% 0.19/0.48 [11] 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))
% 0.19/0.48 -> [13] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.19/0.48
% 0.19/0.48 [13] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.19/0.48
% 0.19/0.48 [10] Rewrite : subset(X10_0_0, X10_0_0)
% 0.19/0.48 -> [12] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 0.19/0.48
% 0.19/0.48 [12] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 0.19/0.48 -> [14] ~member(X18_0_1, empty_set)
% 0.19/0.48
% 0.19/0.48 [14] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 0.19/0.48 -> [15] (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 0.19/0.48
% 0.19/0.48 [15] BETA_EQUIV : (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 0.19/0.48 -> [16] ~member(A23_0_2, singleton(A23_0_2)), ~=(A23_0_2, A23_0_2)
% 0.19/0.48 -> [17] member(A23_0_2, singleton(A23_0_2)), =(A23_0_2, A23_0_2)
% 0.19/0.48
% 0.19/0.48 [16] CLOSURE : ~=(A23_0_2, A23_0_2)
% 0.19/0.48
% 0.19/0.48 [17] GAMMA_FORALL : ! [Y32_32] : ((member(Y32_32, skolem_A3333) => member(skolem_X77(product(skolem_A3333), skolem_X3434), Y32_32)))
% 0.19/0.48 -> [18] (member(skolem_X3434, skolem_A3333) => member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434))
% 0.19/0.48
% 0.19/0.48 [18] BETA_IMPLY : (member(skolem_X3434, skolem_A3333) => member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434))
% 0.19/0.48 -> [19] ~member(skolem_X3434, skolem_A3333)
% 0.19/0.48 -> [20] member(skolem_X77(product(skolem_A3333), skolem_X3434), skolem_X3434)
% 0.19/0.48
% 0.19/0.48 [19] CLOSURE : =
% 0.19/0.48
% 0.19/0.48 [20] CLOSURE : =
% 0.19/0.48
% 0.19/0.48 % SZS output end Proof for theBenchmark.p
% 0.19/0.48 [0.148225s][1][Res] 237 goroutines created
% 0.19/0.48 ==== Result ====
% 0.19/0.48 [0.148259s][1][Res] VALID
% 0.19/0.48 % SZS status Theorem for theBenchmark.p
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