TSTP Solution File: NUM395+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Sun Sep 18 10:18:52 EDT 2022
% Result : Theorem 0.10s 0.36s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : goeland -dmt -presko -proof %s
% 0.06/0.26 % Computer : n010.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Fri Sep 2 10:02:57 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 [DMT] DMT loaded with preskolemization
% 0.06/0.26 [EQ] equality loaded.
% 0.06/0.26 [0.000023s][1][MAIN] Problem : theBenchmark.p
% 0.06/0.26 Start search
% 0.06/0.26 nb_step : 1 - limit : 25
% 0.06/0.26 Launch Gotab with destructive = true
% 0.10/0.36 % SZS output start Proof for theBenchmark.p
% 0.10/0.36 [0] ALPHA_AND : (! [A2_2] : (? [B3_3] : (element(B3_3, A2_2))) & ! [A4_4, B5_5] : ((element(A4_4, B5_5) => (empty(B5_5) | in(A4_4, B5_5)))) & ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))) & ! [A8_8, B9_9] : ((in(A8_8, B9_9) => element(A8_8, B9_9))) & ! [A10_10] : ((empty(A10_10) => function(A10_10))) & ! [A11_11] : ((((relation(A11_11) & empty(A11_11)) & function(A11_11)) => ((relation(A11_11) & function(A11_11)) & one_to_one(A11_11)))) & ! [A12_12] : ((empty(A12_12) => relation(A12_12))) & ! [A13_13, B14_14] : (~(in(A13_13, B14_14) & empty(B14_14))) & ! [A15_15, B16_16] : (~((empty(A15_15) & ~=(A15_15, B16_16)) & empty(B16_16))) & ! [A17_17] : ((ordinal(A17_17) => (epsilon_transitive(A17_17) & epsilon_connected(A17_17)))) & ! [A18_18] : (((epsilon_transitive(A18_18) & epsilon_connected(A18_18)) => ordinal(A18_18))) & ? [A19_19] : (((epsilon_transitive(A19_19) & epsilon_connected(A19_19)) & ordinal(A19_19))) & ? [A20_20] : ((relation(A20_20) & function(A20_20))) & ? [A21_21] : (((relation(A21_21) & empty(A21_21)) & function(A21_21))) & ? [A22_22] : (((relation(A22_22) & function(A22_22)) & one_to_one(A22_22))) & ? [A23_23] : (((relation(A23_23) & relation_empty_yielding(A23_23)) & function(A23_23))) & ? [A24_24] : (((relation(A24_24) & relation_non_empty(A24_24)) & function(A24_24))) & (empty(empty_set) & relation(empty_set)) & ((empty(empty_set) & relation(empty_set)) & relation_empty_yielding(empty_set)) & ? [A25_25] : ((empty(A25_25) & relation(A25_25))) & ? [A26_26] : ((~empty(A26_26) & relation(A26_26))) & ? [A27_27] : ((relation(A27_27) & relation_empty_yielding(A27_27))) & empty(empty_set) & ? [A28_28] : (empty(A28_28)) & ? [A29_29] : (~empty(A29_29)) & ! [A30_30] : ((empty(A30_30) => =(A30_30, empty_set))) & (epsilon_transitive(empty_set) & epsilon_connected(empty_set)) & ~ordinal(empty_set))
% 0.10/0.36 -> [1] ! [A2_2] : (? [B3_3] : (element(B3_3, A2_2))), ! [A4_4, B5_5] : ((element(A4_4, B5_5) => (empty(B5_5) | in(A4_4, B5_5)))), ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))), ! [A8_8, B9_9] : ((in(A8_8, B9_9) => element(A8_8, B9_9))), ! [A10_10] : ((empty(A10_10) => function(A10_10))), ! [A11_11] : ((((relation(A11_11) & empty(A11_11)) & function(A11_11)) => ((relation(A11_11) & function(A11_11)) & one_to_one(A11_11)))), ! [A12_12] : ((empty(A12_12) => relation(A12_12))), ! [A13_13, B14_14] : (~(in(A13_13, B14_14) & empty(B14_14))), ! [A15_15, B16_16] : (~((empty(A15_15) & ~=(A15_15, B16_16)) & empty(B16_16))), ! [A17_17] : ((ordinal(A17_17) => (epsilon_transitive(A17_17) & epsilon_connected(A17_17)))), ! [A18_18] : (((epsilon_transitive(A18_18) & epsilon_connected(A18_18)) => ordinal(A18_18))), ? [A19_19] : (((epsilon_transitive(A19_19) & epsilon_connected(A19_19)) & ordinal(A19_19))), ? [A20_20] : ((relation(A20_20) & function(A20_20))), ? [A21_21] : (((relation(A21_21) & empty(A21_21)) & function(A21_21))), ? [A22_22] : (((relation(A22_22) & function(A22_22)) & one_to_one(A22_22))), ? [A23_23] : (((relation(A23_23) & relation_empty_yielding(A23_23)) & function(A23_23))), ? [A24_24] : (((relation(A24_24) & relation_non_empty(A24_24)) & function(A24_24))), (empty(empty_set) & relation(empty_set)), ((empty(empty_set) & relation(empty_set)) & relation_empty_yielding(empty_set)), ? [A25_25] : ((empty(A25_25) & relation(A25_25))), ? [A26_26] : ((~empty(A26_26) & relation(A26_26))), ? [A27_27] : ((relation(A27_27) & relation_empty_yielding(A27_27))), empty(empty_set), ? [A28_28] : (empty(A28_28)), ? [A29_29] : (~empty(A29_29)), ! [A30_30] : ((empty(A30_30) => =(A30_30, empty_set))), (epsilon_transitive(empty_set) & epsilon_connected(empty_set)), ~ordinal(empty_set)
% 0.10/0.36
% 0.10/0.36 [1] Rewrite : ~ordinal(empty_set)
% 0.10/0.36 -> [2] ~(epsilon_transitive(empty_set) & epsilon_connected(empty_set))
% 0.10/0.36
% 0.10/0.36 [2] ALPHA_AND : (empty(empty_set) & relation(empty_set))
% 0.10/0.36 -> [3] empty(empty_set), relation(empty_set)
% 0.10/0.36
% 0.10/0.36 [3] ALPHA_AND : ((empty(empty_set) & relation(empty_set)) & relation_empty_yielding(empty_set))
% 0.10/0.36 -> [4] (empty(empty_set) & relation(empty_set)), relation_empty_yielding(empty_set)
% 0.10/0.36
% 0.10/0.36 [4] ALPHA_AND : (epsilon_transitive(empty_set) & epsilon_connected(empty_set))
% 0.10/0.36 -> [5] epsilon_transitive(empty_set), epsilon_connected(empty_set)
% 0.10/0.36
% 0.10/0.36 [5] ALPHA_AND : (empty(empty_set) & relation(empty_set))
% 0.10/0.36 -> [6] empty(empty_set), relation(empty_set)
% 0.10/0.36
% 0.10/0.36 [6] DELTA_EXISTS : ? [A19_19] : (((epsilon_transitive(A19_19) & epsilon_connected(A19_19)) & ordinal(A19_19)))
% 0.10/0.36 -> [7] ((epsilon_transitive(skolem_A1919) & epsilon_connected(skolem_A1919)) & ordinal(skolem_A1919))
% 0.10/0.36
% 0.10/0.36 [7] ALPHA_AND : ((epsilon_transitive(skolem_A1919) & epsilon_connected(skolem_A1919)) & ordinal(skolem_A1919))
% 0.10/0.36 -> [8] (epsilon_transitive(skolem_A1919) & epsilon_connected(skolem_A1919)), ordinal(skolem_A1919)
% 0.10/0.36
% 0.10/0.36 [8] Rewrite : ordinal(skolem_A1919)
% 0.10/0.36 -> [9] (epsilon_transitive(skolem_A1919) & epsilon_connected(skolem_A1919))
% 0.10/0.36
% 0.10/0.36 [9] ALPHA_AND : (epsilon_transitive(skolem_A1919) & epsilon_connected(skolem_A1919))
% 0.10/0.36 -> [10] epsilon_transitive(skolem_A1919), epsilon_connected(skolem_A1919)
% 0.10/0.36
% 0.10/0.36 [10] DELTA_EXISTS : ? [A20_20] : ((relation(A20_20) & function(A20_20)))
% 0.10/0.36 -> [11] (relation(skolem_A2020) & function(skolem_A2020))
% 0.10/0.36
% 0.10/0.36 [11] ALPHA_AND : (relation(skolem_A2020) & function(skolem_A2020))
% 0.10/0.36 -> [12] relation(skolem_A2020), function(skolem_A2020)
% 0.10/0.36
% 0.10/0.36 [12] DELTA_EXISTS : ? [A21_21] : (((relation(A21_21) & empty(A21_21)) & function(A21_21)))
% 0.10/0.36 -> [13] ((relation(skolem_A2121) & empty(skolem_A2121)) & function(skolem_A2121))
% 0.10/0.36
% 0.10/0.36 [13] ALPHA_AND : ((relation(skolem_A2121) & empty(skolem_A2121)) & function(skolem_A2121))
% 0.10/0.36 -> [14] (relation(skolem_A2121) & empty(skolem_A2121)), function(skolem_A2121)
% 0.10/0.36
% 0.10/0.36 [14] ALPHA_AND : (relation(skolem_A2121) & empty(skolem_A2121))
% 0.10/0.36 -> [15] relation(skolem_A2121), empty(skolem_A2121)
% 0.10/0.36
% 0.10/0.36 [15] DELTA_EXISTS : ? [A22_22] : (((relation(A22_22) & function(A22_22)) & one_to_one(A22_22)))
% 0.10/0.36 -> [16] ((relation(skolem_A2222) & function(skolem_A2222)) & one_to_one(skolem_A2222))
% 0.10/0.36
% 0.10/0.36 [16] ALPHA_AND : ((relation(skolem_A2222) & function(skolem_A2222)) & one_to_one(skolem_A2222))
% 0.10/0.36 -> [17] (relation(skolem_A2222) & function(skolem_A2222)), one_to_one(skolem_A2222)
% 0.10/0.36
% 0.10/0.36 [17] ALPHA_AND : (relation(skolem_A2222) & function(skolem_A2222))
% 0.10/0.36 -> [18] relation(skolem_A2222), function(skolem_A2222)
% 0.10/0.36
% 0.10/0.36 [18] DELTA_EXISTS : ? [A23_23] : (((relation(A23_23) & relation_empty_yielding(A23_23)) & function(A23_23)))
% 0.10/0.36 -> [19] ((relation(skolem_A2323) & relation_empty_yielding(skolem_A2323)) & function(skolem_A2323))
% 0.10/0.36
% 0.10/0.36 [19] ALPHA_AND : ((relation(skolem_A2323) & relation_empty_yielding(skolem_A2323)) & function(skolem_A2323))
% 0.10/0.36 -> [20] (relation(skolem_A2323) & relation_empty_yielding(skolem_A2323)), function(skolem_A2323)
% 0.10/0.36
% 0.10/0.36 [20] ALPHA_AND : (relation(skolem_A2323) & relation_empty_yielding(skolem_A2323))
% 0.10/0.36 -> [21] relation(skolem_A2323), relation_empty_yielding(skolem_A2323)
% 0.10/0.36
% 0.10/0.36 [21] DELTA_EXISTS : ? [A24_24] : (((relation(A24_24) & relation_non_empty(A24_24)) & function(A24_24)))
% 0.10/0.36 -> [22] ((relation(skolem_A2424) & relation_non_empty(skolem_A2424)) & function(skolem_A2424))
% 0.10/0.36
% 0.10/0.36 [22] ALPHA_AND : ((relation(skolem_A2424) & relation_non_empty(skolem_A2424)) & function(skolem_A2424))
% 0.10/0.36 -> [23] (relation(skolem_A2424) & relation_non_empty(skolem_A2424)), function(skolem_A2424)
% 0.10/0.36
% 0.10/0.36 [23] ALPHA_AND : (relation(skolem_A2424) & relation_non_empty(skolem_A2424))
% 0.10/0.36 -> [24] relation(skolem_A2424), relation_non_empty(skolem_A2424)
% 0.10/0.36
% 0.10/0.36 [24] DELTA_EXISTS : ? [A25_25] : ((empty(A25_25) & relation(A25_25)))
% 0.10/0.36 -> [25] (empty(skolem_A2525) & relation(skolem_A2525))
% 0.10/0.36
% 0.10/0.36 [25] ALPHA_AND : (empty(skolem_A2525) & relation(skolem_A2525))
% 0.10/0.36 -> [26] empty(skolem_A2525), relation(skolem_A2525)
% 0.10/0.36
% 0.10/0.36 [26] DELTA_EXISTS : ? [A26_26] : ((~empty(A26_26) & relation(A26_26)))
% 0.10/0.36 -> [27] (~empty(skolem_A2626) & relation(skolem_A2626))
% 0.10/0.36
% 0.10/0.36 [27] ALPHA_AND : (~empty(skolem_A2626) & relation(skolem_A2626))
% 0.10/0.36 -> [28] ~empty(skolem_A2626), relation(skolem_A2626)
% 0.10/0.36
% 0.10/0.36 [28] DELTA_EXISTS : ? [A27_27] : ((relation(A27_27) & relation_empty_yielding(A27_27)))
% 0.10/0.36 -> [29] (relation(skolem_A2727) & relation_empty_yielding(skolem_A2727))
% 0.10/0.36
% 0.10/0.36 [29] ALPHA_AND : (relation(skolem_A2727) & relation_empty_yielding(skolem_A2727))
% 0.10/0.36 -> [30] relation(skolem_A2727), relation_empty_yielding(skolem_A2727)
% 0.10/0.36
% 0.10/0.36 [30] DELTA_EXISTS : ? [A28_28] : (empty(A28_28))
% 0.10/0.36 -> [31] empty(skolem_A2828)
% 0.10/0.36
% 0.10/0.36 [31] DELTA_EXISTS : ? [A29_29] : (~empty(A29_29))
% 0.10/0.36 -> [32] ~empty(skolem_A2929)
% 0.10/0.36
% 0.10/0.36 [32] BETA_NOT_AND : ~(epsilon_transitive(empty_set) & epsilon_connected(empty_set))
% 0.10/0.36 -> [33] ~epsilon_transitive(empty_set)
% 0.10/0.36 -> [34] ~epsilon_connected(empty_set)
% 0.10/0.36
% 0.10/0.36 [33] CLOSURE : ~epsilon_transitive(empty_set)
% 0.10/0.36
% 0.10/0.36 [34] CLOSURE : ~epsilon_connected(empty_set)
% 0.10/0.36
% 0.10/0.36 % SZS output end Proof for theBenchmark.p
% 0.10/0.36 [0.096605s][1][Res] 296 goroutines created
% 0.10/0.36 ==== Result ====
% 0.10/0.36 [0.096621s][1][Res] VALID
% 0.10/0.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------