TSTP Solution File: SET015+4 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET015+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 04:14:46 EDT 2022
% Result : Theorem 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET015+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 01:04:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Conjecture not found
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 15
% 0.13/0.34 Launch Gotab with destructive = true
% 0.13/0.36 % SZS output start Proof for theBenchmark.p
% 0.19/0.36 [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] : (equal_set(union(A33_33, B34_34), union(B34_34, A33_33))))
% 0.19/0.36 -> [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] : (equal_set(union(A33_33, B34_34), union(B34_34, A33_33)))
% 0.19/0.36
% 0.19/0.36 [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))))
% 0.19/0.36 -> [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)))
% 0.19/0.36
% 0.19/0.36 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34] : (equal_set(union(A33_33, B34_34), union(B34_34, A33_33)))
% 0.19/0.36 -> [3] ~equal_set(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333))
% 0.19/0.36
% 0.19/0.36 [3] Rewrite : ~equal_set(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333))
% 0.19/0.36 -> [4] ~(subset(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)) & subset(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)))
% 0.19/0.36
% 0.19/0.36 [4] BETA_NOT_AND : ~(subset(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)) & subset(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)))
% 0.19/0.36 -> [5] ~subset(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333))
% 0.19/0.36 -> [6] ~subset(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 0.19/0.36
% 0.19/0.36 [6] Rewrite : ~subset(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 0.19/0.36 -> [7] ~(member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_B3434, skolem_A3333)) => member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 0.19/0.36
% 0.19/0.36 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_B3434, skolem_A3333)) => member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 0.19/0.36 -> [9] member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_B3434, skolem_A3333)), ~member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.36
% 0.19/0.36 [9] Rewrite : member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_B3434, skolem_A3333))
% 0.19/0.36 -> [11] (member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434) | member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333))
% 0.19/0.36
% 0.19/0.36 [11] Rewrite : ~member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.36 -> [13] ~(member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 0.19/0.36
% 0.19/0.36 [13] ALPHA_NOT_OR : ~(member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 0.19/0.36 -> [15] ~member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333), ~member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434)
% 0.19/0.36
% 0.19/0.36 [15] BETA_OR : (member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434) | member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333))
% 0.19/0.36 -> [17] member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434)
% 0.19/0.36 -> [18] member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333)
% 0.19/0.36
% 0.19/0.36 [17] CLOSURE : member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_B3434)
% 0.19/0.36
% 0.19/0.36 [18] CLOSURE : member(skolem_X77(union(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)), skolem_A3333)
% 0.19/0.36
% 0.19/0.36 [5] Rewrite : ~subset(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333))
% 0.19/0.36 -> [8] ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_B3434, skolem_A3333)))
% 0.19/0.36
% 0.19/0.36 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_B3434, skolem_A3333)))
% 0.19/0.36 -> [10] member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_A3333, skolem_B3434)), ~member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_B3434, skolem_A3333))
% 0.19/0.36
% 0.19/0.36 [10] Rewrite : member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_A3333, skolem_B3434))
% 0.19/0.36 -> [12] (member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434))
% 0.19/0.36
% 0.19/0.36 [12] Rewrite : ~member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), union(skolem_B3434, skolem_A3333))
% 0.19/0.36 -> [14] ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434) | member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333))
% 0.19/0.36
% 0.19/0.36 [14] ALPHA_NOT_OR : ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434) | member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333))
% 0.19/0.36 -> [16] ~member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434), ~member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333)
% 0.19/0.36
% 0.19/0.36 [16] BETA_OR : (member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434))
% 0.19/0.36 -> [19] member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333)
% 0.19/0.36 -> [20] member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434)
% 0.19/0.36
% 0.19/0.36 [19] CLOSURE : member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_A3333)
% 0.19/0.36
% 0.19/0.36 [20] CLOSURE : member(skolem_X77(union(skolem_A3333, skolem_B3434), union(skolem_B3434, skolem_A3333)), skolem_B3434)
% 0.19/0.36
% 0.19/0.36 % SZS output end Proof for theBenchmark.p
% 0.19/0.36 [0.024520s][1][Res] 103 goroutines created
% 0.19/0.36 ==== Result ====
% 0.19/0.36 [0.024551s][1][Res] VALID
% 0.19/0.36 % SZS status Theorem for theBenchmark.p
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