TSTP Solution File: SET954+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 0.20s 0.36s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 08:40:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 [DMT] DMT loaded with preskolemization
% 0.20/0.35 [EQ] equality loaded.
% 0.20/0.35 [0.000070s][1][MAIN] Problem : theBenchmark.p
% 0.20/0.35 Start search
% 0.20/0.35 nb_step : 1 - limit : 8
% 0.20/0.35 Launch Gotab with destructive = true
% 0.20/0.36 % SZS output start Proof for theBenchmark.p
% 0.20/0.36 [0] ALPHA_AND : (! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))) & ! [A6_6, B7_7] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6))) & ! [A8_8, B9_9] : (=(ordered_pair(A8_8, B9_9), unordered_pair(unordered_pair(A8_8, B9_9), singleton(A8_8)))) & ! [A10_10, B11_11] : (~empty(ordered_pair(A10_10, B11_11))) & ? [A16_16] : (empty(A16_16)) & ? [A17_17] : (~empty(A17_17)) & ~! [A18_18, B19_19, C20_20, D21_21] : ((in(ordered_pair(A18_18, B19_19), cartesian_product2(C20_20, D21_21)) => in(ordered_pair(B19_19, A18_18), cartesian_product2(D21_21, C20_20)))))
% 0.20/0.36 -> [1] ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))), ! [A6_6, B7_7] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6))), ! [A8_8, B9_9] : (=(ordered_pair(A8_8, B9_9), unordered_pair(unordered_pair(A8_8, B9_9), singleton(A8_8)))), ! [A10_10, B11_11] : (~empty(ordered_pair(A10_10, B11_11))), ? [A16_16] : (empty(A16_16)), ? [A17_17] : (~empty(A17_17)), ~! [A18_18, B19_19, C20_20, D21_21] : ((in(ordered_pair(A18_18, B19_19), cartesian_product2(C20_20, D21_21)) => in(ordered_pair(B19_19, A18_18), cartesian_product2(D21_21, C20_20))))
% 0.20/0.36
% 0.20/0.36 [1] DELTA_EXISTS : ? [A16_16] : (empty(A16_16))
% 0.20/0.36 -> [2] empty(skolem_A1616)
% 0.20/0.36
% 0.20/0.36 [2] DELTA_EXISTS : ? [A17_17] : (~empty(A17_17))
% 0.20/0.36 -> [3] ~empty(skolem_A1717)
% 0.20/0.36
% 0.20/0.36 [3] DELTA_NOT_FORALL : ~! [A18_18, B19_19, C20_20, D21_21] : ((in(ordered_pair(A18_18, B19_19), cartesian_product2(C20_20, D21_21)) => in(ordered_pair(B19_19, A18_18), cartesian_product2(D21_21, C20_20))))
% 0.20/0.36 -> [4] ~(in(ordered_pair(skolem_A1818, skolem_B1919), cartesian_product2(skolem_C2020, skolem_D2121)) => in(ordered_pair(skolem_B1919, skolem_A1818), cartesian_product2(skolem_D2121, skolem_C2020)))
% 0.20/0.36
% 0.20/0.36 [4] ALPHA_NOT_IMPLY : ~(in(ordered_pair(skolem_A1818, skolem_B1919), cartesian_product2(skolem_C2020, skolem_D2121)) => in(ordered_pair(skolem_B1919, skolem_A1818), cartesian_product2(skolem_D2121, skolem_C2020)))
% 0.20/0.36 -> [5] in(ordered_pair(skolem_A1818, skolem_B1919), cartesian_product2(skolem_C2020, skolem_D2121)), ~in(ordered_pair(skolem_B1919, skolem_A1818), cartesian_product2(skolem_D2121, skolem_C2020))
% 0.20/0.36
% 0.20/0.36 [5] Rewrite : in(ordered_pair(skolem_A1818, skolem_B1919), cartesian_product2(skolem_C2020, skolem_D2121))
% 0.20/0.36 -> [6] (in(skolem_A1818, skolem_C2020) & in(skolem_B1919, skolem_D2121))
% 0.20/0.36
% 0.20/0.36 [6] Rewrite : ~in(ordered_pair(skolem_B1919, skolem_A1818), cartesian_product2(skolem_D2121, skolem_C2020))
% 0.20/0.36 -> [7] ~(in(skolem_B1919, skolem_D2121) & in(skolem_A1818, skolem_C2020))
% 0.20/0.36
% 0.20/0.36 [7] ALPHA_AND : (in(skolem_A1818, skolem_C2020) & in(skolem_B1919, skolem_D2121))
% 0.20/0.36 -> [8] in(skolem_A1818, skolem_C2020), in(skolem_B1919, skolem_D2121)
% 0.20/0.36
% 0.20/0.36 [8] BETA_NOT_AND : ~(in(skolem_B1919, skolem_D2121) & in(skolem_A1818, skolem_C2020))
% 0.20/0.36 -> [9] ~in(skolem_B1919, skolem_D2121)
% 0.20/0.36 -> [10] ~in(skolem_A1818, skolem_C2020)
% 0.20/0.36
% 0.20/0.36 [9] CLOSURE : ~in(skolem_B1919, skolem_D2121)
% 0.20/0.36
% 0.20/0.36 [10] CLOSURE : ~in(skolem_A1818, skolem_C2020)
% 0.20/0.36
% 0.20/0.36 % SZS output end Proof for theBenchmark.p
% 0.20/0.36 [0.014532s][1][Res] 23 goroutines created
% 0.20/0.36 ==== Result ====
% 0.20/0.36 [0.014568s][1][Res] VALID
% 0.20/0.36 % SZS status Theorem for theBenchmark.p
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