TSTP Solution File: SEU165+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n005.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 05:55:41 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n005.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 09:49:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000052s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.36 nb_step : 1 - limit : 8
% 0.13/0.36 Launch Gotab with destructive = true
% 0.19/0.38 % SZS output start Proof for theBenchmark.p
% 0.19/0.38 [0] ALPHA_AND : (! [A4_4, B5_5] : (=(unordered_pair(A4_4, B5_5), unordered_pair(B5_5, A4_4))) & ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))) & ! [A8_8, B9_9] : (~empty(ordered_pair(A8_8, B9_9))) & ? [A10_10] : (empty(A10_10)) & ? [A11_11] : (~empty(A11_11)) & ! [A12_12, B13_13] : (=(ordered_pair(A12_12, B13_13), unordered_pair(unordered_pair(A12_12, B13_13), singleton(A12_12)))) & ~! [A14_14, B15_15, C16_16, D17_17] : ((in(ordered_pair(A14_14, B15_15), cartesian_product2(C16_16, D17_17)) <=> (in(A14_14, C16_16) & in(B15_15, D17_17)))))
% 0.19/0.38 -> [1] ! [A4_4, B5_5] : (=(unordered_pair(A4_4, B5_5), unordered_pair(B5_5, A4_4))), ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))), ! [A8_8, B9_9] : (~empty(ordered_pair(A8_8, B9_9))), ? [A10_10] : (empty(A10_10)), ? [A11_11] : (~empty(A11_11)), ! [A12_12, B13_13] : (=(ordered_pair(A12_12, B13_13), unordered_pair(unordered_pair(A12_12, B13_13), singleton(A12_12)))), ~! [A14_14, B15_15, C16_16, D17_17] : ((in(ordered_pair(A14_14, B15_15), cartesian_product2(C16_16, D17_17)) <=> (in(A14_14, C16_16) & in(B15_15, D17_17))))
% 0.19/0.38
% 0.19/0.38 [1] DELTA_EXISTS : ? [A10_10] : (empty(A10_10))
% 0.19/0.38 -> [2] empty(skolem_A1010)
% 0.19/0.38
% 0.19/0.38 [2] DELTA_EXISTS : ? [A11_11] : (~empty(A11_11))
% 0.19/0.38 -> [3] ~empty(skolem_A1111)
% 0.19/0.38
% 0.19/0.38 [3] DELTA_NOT_FORALL : ~! [A14_14, B15_15, C16_16, D17_17] : ((in(ordered_pair(A14_14, B15_15), cartesian_product2(C16_16, D17_17)) <=> (in(A14_14, C16_16) & in(B15_15, D17_17))))
% 0.19/0.38 -> [4] ~(in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717)) <=> (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717)))
% 0.19/0.38
% 0.19/0.38 [4] BETA_NOT_EQUIV : ~(in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717)) <=> (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717)))
% 0.19/0.38 -> [5] ~in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717)), (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38 -> [6] in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717)), ~(in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38
% 0.19/0.38 [5] Rewrite : ~in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717))
% 0.19/0.38 -> [7] ~(in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38
% 0.19/0.38 [7] ALPHA_AND : (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38 -> [9] in(skolem_A1414, skolem_C1616), in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 [9] BETA_NOT_AND : ~(in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38 -> [11] ~in(skolem_A1414, skolem_C1616)
% 0.19/0.38 -> [12] ~in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 [12] CLOSURE : ~in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 [11] CLOSURE : ~in(skolem_A1414, skolem_C1616)
% 0.19/0.38
% 0.19/0.38 [6] Rewrite : in(ordered_pair(skolem_A1414, skolem_B1515), cartesian_product2(skolem_C1616, skolem_D1717))
% 0.19/0.38 -> [8] (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38
% 0.19/0.38 [8] ALPHA_AND : (in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38 -> [10] in(skolem_A1414, skolem_C1616), in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 [10] BETA_NOT_AND : ~(in(skolem_A1414, skolem_C1616) & in(skolem_B1515, skolem_D1717))
% 0.19/0.38 -> [13] ~in(skolem_A1414, skolem_C1616)
% 0.19/0.38 -> [14] ~in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 [13] CLOSURE : ~in(skolem_A1414, skolem_C1616)
% 0.19/0.38
% 0.19/0.38 [14] CLOSURE : ~in(skolem_B1515, skolem_D1717)
% 0.19/0.38
% 0.19/0.38 % SZS output end Proof for theBenchmark.p
% 0.19/0.38 [0.023312s][1][Res] 35 goroutines created
% 0.19/0.38 ==== Result ====
% 0.19/0.38 [0.023370s][1][Res] VALID
% 0.19/0.38 % SZS status Theorem for theBenchmark.p
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