TSTP Solution File: SET949+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET949+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 04:17:54 EDT 2022
% Result : Theorem 36.16s 6.16s
% Output : Proof 36.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET949+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n028.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 08:49:53 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 [0.000047s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 11
% 0.18/0.34 Launch Gotab with destructive = true
% 36.16/6.16 % SZS output start Proof for theBenchmark.p
% 36.16/6.16 [0] ALPHA_AND : (! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))) & ! [A8_8, B9_9] : (=(unordered_pair(A8_8, B9_9), unordered_pair(B9_9, A8_8))) & ! [A10_10, B11_11, C12_12] : ((=(C12_12, cartesian_product2(A10_10, B11_11)) <=> ! [D13_13] : ((in(D13_13, C12_12) <=> ? [E14_14, F15_15] : (((in(E14_14, A10_10) & in(F15_15, B11_11)) & =(D13_13, ordered_pair(E14_14, F15_15)))))))) & ! [A16_16, B17_17] : (=(ordered_pair(A16_16, B17_17), unordered_pair(unordered_pair(A16_16, B17_17), singleton(A16_16)))) & ! [A18_18, B19_19] : (~empty(ordered_pair(A18_18, B19_19))) & ? [A20_20] : (empty(A20_20)) & ? [A21_21] : (~empty(A21_21)) & ~! [A22_22, B23_23, C24_24] : (~(in(A22_22, cartesian_product2(B23_23, C24_24)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), A22_22)))))
% 36.16/6.16 -> [1] ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))), ! [A8_8, B9_9] : (=(unordered_pair(A8_8, B9_9), unordered_pair(B9_9, A8_8))), ! [A10_10, B11_11, C12_12] : ((=(C12_12, cartesian_product2(A10_10, B11_11)) <=> ! [D13_13] : ((in(D13_13, C12_12) <=> ? [E14_14, F15_15] : (((in(E14_14, A10_10) & in(F15_15, B11_11)) & =(D13_13, ordered_pair(E14_14, F15_15)))))))), ! [A16_16, B17_17] : (=(ordered_pair(A16_16, B17_17), unordered_pair(unordered_pair(A16_16, B17_17), singleton(A16_16)))), ! [A18_18, B19_19] : (~empty(ordered_pair(A18_18, B19_19))), ? [A20_20] : (empty(A20_20)), ? [A21_21] : (~empty(A21_21)), ~! [A22_22, B23_23, C24_24] : (~(in(A22_22, cartesian_product2(B23_23, C24_24)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), A22_22))))
% 36.16/6.16
% 36.16/6.16 [1] DELTA_EXISTS : ? [A20_20] : (empty(A20_20))
% 36.16/6.16 -> [2] empty(skolem_A2020)
% 36.16/6.16
% 36.16/6.16 [2] DELTA_EXISTS : ? [A21_21] : (~empty(A21_21))
% 36.16/6.16 -> [3] ~empty(skolem_A2121)
% 36.16/6.16
% 36.16/6.16 [3] DELTA_NOT_FORALL : ~! [A22_22, B23_23, C24_24] : (~(in(A22_22, cartesian_product2(B23_23, C24_24)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), A22_22))))
% 36.16/6.16 -> [4] ~~(in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222)))
% 36.16/6.16
% 36.16/6.16 [4] ALPHA_NOT_NOT : ~~(in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222)))
% 36.16/6.16 -> [5] (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222)))
% 36.16/6.16
% 36.16/6.16 [5] ALPHA_AND : (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) & ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222)))
% 36.16/6.16 -> [6] in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)), ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222))
% 36.16/6.16
% 36.16/6.16 [6] GAMMA_FORALL : ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6)))
% 36.16/6.16 -> [7] (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) => ~in(cartesian_product2(skolem_B2323, skolem_C2424), skolem_A2222))
% 36.16/6.16
% 36.16/6.16 [7] BETA_IMPLY : (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) => ~in(cartesian_product2(skolem_B2323, skolem_C2424), skolem_A2222))
% 36.16/6.16 -> [8] ~in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424))
% 36.16/6.16 -> [9] ~in(cartesian_product2(skolem_B2323, skolem_C2424), skolem_A2222)
% 36.16/6.16
% 36.16/6.16 [8] CLOSURE : ~in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424))
% 36.16/6.16
% 36.16/6.16 [9] GAMMA_FORALL : ! [A8_8, B9_9] : (=(unordered_pair(A8_8, B9_9), unordered_pair(B9_9, A8_8)))
% 36.16/6.16 -> [10] =(unordered_pair(A8_0_1, B9_0_1), unordered_pair(B9_0_1, A8_0_1))
% 36.16/6.16
% 36.16/6.16 [10] GAMMA_FORALL : ! [A10_10, B11_11, C12_12] : ((=(C12_12, cartesian_product2(A10_10, B11_11)) <=> ! [D13_13] : ((in(D13_13, C12_12) <=> ? [E14_14, F15_15] : (((in(E14_14, A10_10) & in(F15_15, B11_11)) & =(D13_13, ordered_pair(E14_14, F15_15))))))))
% 36.16/6.16 -> [11] (=(cartesian_product2(skolem_B2323, skolem_C2424), cartesian_product2(skolem_B2323, skolem_C2424)) <=> ! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15)))))))
% 36.16/6.16
% 36.16/6.16 [11] BETA_EQUIV : (=(cartesian_product2(skolem_B2323, skolem_C2424), cartesian_product2(skolem_B2323, skolem_C2424)) <=> ! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15)))))))
% 36.16/6.16 -> [12] ~=(cartesian_product2(skolem_B2323, skolem_C2424), cartesian_product2(skolem_B2323, skolem_C2424)), ~! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15))))))
% 36.16/6.16 -> [13] =(cartesian_product2(skolem_B2323, skolem_C2424), cartesian_product2(skolem_B2323, skolem_C2424)), ! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15))))))
% 36.16/6.16
% 36.16/6.16 [12] DELTA_NOT_FORALL : ~! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15))))))
% 36.16/6.16 -> [14] ~(in(skolem_D1313(cartesian_product2(skolem_B2323, skolem_C2424), skolem_B2323, skolem_C2424), cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_D1313(cartesian_product2(skolem_B2323, skolem_C2424), skolem_B2323, skolem_C2424), ordered_pair(E14_14, F15_15)))))
% 36.16/6.16
% 36.16/6.16 [14] CLOSURE : ~! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15))))))
% 36.16/6.16
% 36.16/6.16 [13] GAMMA_FORALL : ! [A16_16, B17_17] : (=(ordered_pair(A16_16, B17_17), unordered_pair(unordered_pair(A16_16, B17_17), singleton(A16_16))))
% 36.16/6.16 -> [15] =(ordered_pair(A16_0_3, B17_0_3), unordered_pair(unordered_pair(A16_0_3, B17_0_3), singleton(A16_0_3)))
% 36.16/6.16
% 36.16/6.16 [15] GAMMA_FORALL : ! [A18_18, B19_19] : (~empty(ordered_pair(A18_18, B19_19)))
% 36.16/6.16 -> [16] ~empty(ordered_pair(A18_0_4, B19_0_4))
% 36.16/6.16
% 36.16/6.16 [16] GAMMA_FORALL : ! [D25_25, E26_26] : (~=(ordered_pair(D25_25, E26_26), skolem_A2222))
% 36.16/6.16 -> [17] ~=(ordered_pair(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222)), skolem_A2222)
% 36.16/6.16
% 36.16/6.16 [17] GAMMA_FORALL : ! [D13_13] : ((in(D13_13, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(D13_13, ordered_pair(E14_14, F15_15))))))
% 36.16/6.16 -> [18] (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_A2222, ordered_pair(E14_14, F15_15)))))
% 36.16/6.16
% 36.16/6.16 [18] BETA_EQUIV : (in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)) <=> ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_A2222, ordered_pair(E14_14, F15_15)))))
% 36.16/6.16 -> [19] ~in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)), ~? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_A2222, ordered_pair(E14_14, F15_15))))
% 36.16/6.16 -> [20] in(skolem_A2222, cartesian_product2(skolem_B2323, skolem_C2424)), ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_A2222, ordered_pair(E14_14, F15_15))))
% 36.16/6.16
% 36.16/6.16 [20] DELTA_EXISTS : ? [E14_14, F15_15] : (((in(E14_14, skolem_B2323) & in(F15_15, skolem_C2424)) & =(skolem_A2222, ordered_pair(E14_14, F15_15))))
% 36.16/6.16 -> [21] ((in(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_B2323) & in(skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222), skolem_C2424)) & =(skolem_A2222, ordered_pair(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222))))
% 36.16/6.16
% 36.16/6.16 [21] ALPHA_AND : ((in(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_B2323) & in(skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222), skolem_C2424)) & =(skolem_A2222, ordered_pair(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222))))
% 36.16/6.16 -> [22] (in(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_B2323) & in(skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222), skolem_C2424)), =(skolem_A2222, ordered_pair(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222)))
% 36.16/6.16
% 36.16/6.16 [22] ALPHA_AND : (in(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_B2323) & in(skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222), skolem_C2424))
% 36.16/6.16 -> [23] in(skolem_E1414(skolem_B2323, skolem_C2424, skolem_A2222), skolem_B2323), in(skolem_F1515(skolem_B2323, skolem_C2424, skolem_A2222), skolem_C2424)
% 36.16/6.16
% 36.16/6.16 [23] CLOSURE : =
% 36.16/6.16
% 36.16/6.16 [19] CLOSURE : =
% 36.16/6.16
% 36.16/6.16 % SZS output end Proof for theBenchmark.p
% 36.16/6.16 [5.824740s][1][Res] 43784 goroutines created
% 36.16/6.16 ==== Result ====
% 36.16/6.16 [5.824776s][1][Res] VALID
% 36.16/6.16 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------