TSTP Solution File: REL049+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 02:51:50 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n018.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 : Fri Sep 2 21:10:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 [DMT] DMT loaded with preskolemization
% 0.18/0.34 [EQ] equality loaded.
% 0.18/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.34 Conjecture not found
% 0.18/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 14
% 0.18/0.34 Launch Gotab with destructive = true
% 0.18/0.44 % SZS output start Proof for theBenchmark.p
% 0.18/0.44 [0] ALPHA_AND : ((! [X03_3, X14_4] : (=(join(X03_3, X14_4), join(X14_4, X03_3))) & ! [X05_5, X16_6, X27_7] : (=(join(X05_5, join(X16_6, X27_7)), join(join(X05_5, X16_6), X27_7))) & ! [X08_8, X19_9] : (=(X08_8, join(complement(join(complement(X08_8), complement(X19_9))), complement(join(complement(X08_8), X19_9))))) & ! [X010_10, X111_11] : (=(meet(X010_10, X111_11), complement(join(complement(X010_10), complement(X111_11))))) & ! [X012_12, X113_13, X214_14] : (=(composition(X012_12, composition(X113_13, X214_14)), composition(composition(X012_12, X113_13), X214_14))) & ! [X015_15] : (=(composition(X015_15, one), X015_15)) & ! [X016_16, X117_17, X218_18] : (=(composition(join(X016_16, X117_17), X218_18), join(composition(X016_16, X218_18), composition(X117_17, X218_18)))) & ! [X019_19] : (=(converse(converse(X019_19)), X019_19)) & ! [X020_20, X121_21] : (=(converse(join(X020_20, X121_21)), join(converse(X020_20), converse(X121_21)))) & ! [X022_22, X123_23] : (=(converse(composition(X022_22, X123_23)), composition(converse(X123_23), converse(X022_22)))) & ! [X024_24, X125_25] : (=(join(composition(converse(X024_24), complement(composition(X024_24, X125_25))), complement(X125_25)), complement(X125_25))) & ! [X026_26] : (=(top, join(X026_26, complement(X026_26)))) & ! [X027_27] : (=(zero, meet(X027_27, complement(X027_27))))) & ~! [X028_28, X129_29, X230_30] : (((=(join(X028_28, X129_29), X129_29) & =(join(X230_30, X129_29), X129_29)) => =(join(join(X028_28, X230_30), X129_29), X129_29))))
% 0.18/0.44 -> [1] (! [X03_3, X14_4] : (=(join(X03_3, X14_4), join(X14_4, X03_3))) & ! [X05_5, X16_6, X27_7] : (=(join(X05_5, join(X16_6, X27_7)), join(join(X05_5, X16_6), X27_7))) & ! [X08_8, X19_9] : (=(X08_8, join(complement(join(complement(X08_8), complement(X19_9))), complement(join(complement(X08_8), X19_9))))) & ! [X010_10, X111_11] : (=(meet(X010_10, X111_11), complement(join(complement(X010_10), complement(X111_11))))) & ! [X012_12, X113_13, X214_14] : (=(composition(X012_12, composition(X113_13, X214_14)), composition(composition(X012_12, X113_13), X214_14))) & ! [X015_15] : (=(composition(X015_15, one), X015_15)) & ! [X016_16, X117_17, X218_18] : (=(composition(join(X016_16, X117_17), X218_18), join(composition(X016_16, X218_18), composition(X117_17, X218_18)))) & ! [X019_19] : (=(converse(converse(X019_19)), X019_19)) & ! [X020_20, X121_21] : (=(converse(join(X020_20, X121_21)), join(converse(X020_20), converse(X121_21)))) & ! [X022_22, X123_23] : (=(converse(composition(X022_22, X123_23)), composition(converse(X123_23), converse(X022_22)))) & ! [X024_24, X125_25] : (=(join(composition(converse(X024_24), complement(composition(X024_24, X125_25))), complement(X125_25)), complement(X125_25))) & ! [X026_26] : (=(top, join(X026_26, complement(X026_26)))) & ! [X027_27] : (=(zero, meet(X027_27, complement(X027_27))))), ~! [X028_28, X129_29, X230_30] : (((=(join(X028_28, X129_29), X129_29) & =(join(X230_30, X129_29), X129_29)) => =(join(join(X028_28, X230_30), X129_29), X129_29)))
% 0.18/0.44
% 0.18/0.44 [1] ALPHA_AND : (! [X03_3, X14_4] : (=(join(X03_3, X14_4), join(X14_4, X03_3))) & ! [X05_5, X16_6, X27_7] : (=(join(X05_5, join(X16_6, X27_7)), join(join(X05_5, X16_6), X27_7))) & ! [X08_8, X19_9] : (=(X08_8, join(complement(join(complement(X08_8), complement(X19_9))), complement(join(complement(X08_8), X19_9))))) & ! [X010_10, X111_11] : (=(meet(X010_10, X111_11), complement(join(complement(X010_10), complement(X111_11))))) & ! [X012_12, X113_13, X214_14] : (=(composition(X012_12, composition(X113_13, X214_14)), composition(composition(X012_12, X113_13), X214_14))) & ! [X015_15] : (=(composition(X015_15, one), X015_15)) & ! [X016_16, X117_17, X218_18] : (=(composition(join(X016_16, X117_17), X218_18), join(composition(X016_16, X218_18), composition(X117_17, X218_18)))) & ! [X019_19] : (=(converse(converse(X019_19)), X019_19)) & ! [X020_20, X121_21] : (=(converse(join(X020_20, X121_21)), join(converse(X020_20), converse(X121_21)))) & ! [X022_22, X123_23] : (=(converse(composition(X022_22, X123_23)), composition(converse(X123_23), converse(X022_22)))) & ! [X024_24, X125_25] : (=(join(composition(converse(X024_24), complement(composition(X024_24, X125_25))), complement(X125_25)), complement(X125_25))) & ! [X026_26] : (=(top, join(X026_26, complement(X026_26)))) & ! [X027_27] : (=(zero, meet(X027_27, complement(X027_27)))))
% 0.18/0.44 -> [2] ! [X03_3, X14_4] : (=(join(X03_3, X14_4), join(X14_4, X03_3))), ! [X05_5, X16_6, X27_7] : (=(join(X05_5, join(X16_6, X27_7)), join(join(X05_5, X16_6), X27_7))), ! [X08_8, X19_9] : (=(X08_8, join(complement(join(complement(X08_8), complement(X19_9))), complement(join(complement(X08_8), X19_9))))), ! [X010_10, X111_11] : (=(meet(X010_10, X111_11), complement(join(complement(X010_10), complement(X111_11))))), ! [X012_12, X113_13, X214_14] : (=(composition(X012_12, composition(X113_13, X214_14)), composition(composition(X012_12, X113_13), X214_14))), ! [X015_15] : (=(composition(X015_15, one), X015_15)), ! [X016_16, X117_17, X218_18] : (=(composition(join(X016_16, X117_17), X218_18), join(composition(X016_16, X218_18), composition(X117_17, X218_18)))), ! [X019_19] : (=(converse(converse(X019_19)), X019_19)), ! [X020_20, X121_21] : (=(converse(join(X020_20, X121_21)), join(converse(X020_20), converse(X121_21)))), ! [X022_22, X123_23] : (=(converse(composition(X022_22, X123_23)), composition(converse(X123_23), converse(X022_22)))), ! [X024_24, X125_25] : (=(join(composition(converse(X024_24), complement(composition(X024_24, X125_25))), complement(X125_25)), complement(X125_25))), ! [X026_26] : (=(top, join(X026_26, complement(X026_26)))), ! [X027_27] : (=(zero, meet(X027_27, complement(X027_27))))
% 0.18/0.44
% 0.18/0.44 [2] DELTA_NOT_FORALL : ~! [X028_28, X129_29, X230_30] : (((=(join(X028_28, X129_29), X129_29) & =(join(X230_30, X129_29), X129_29)) => =(join(join(X028_28, X230_30), X129_29), X129_29)))
% 0.18/0.44 -> [3] ~((=(join(skolem_X02828, skolem_X12929), skolem_X12929) & =(join(skolem_X23030, skolem_X12929), skolem_X12929)) => =(join(join(skolem_X02828, skolem_X23030), skolem_X12929), skolem_X12929))
% 0.18/0.44
% 0.18/0.44 [3] ALPHA_NOT_IMPLY : ~((=(join(skolem_X02828, skolem_X12929), skolem_X12929) & =(join(skolem_X23030, skolem_X12929), skolem_X12929)) => =(join(join(skolem_X02828, skolem_X23030), skolem_X12929), skolem_X12929))
% 0.18/0.44 -> [4] (=(join(skolem_X02828, skolem_X12929), skolem_X12929) & =(join(skolem_X23030, skolem_X12929), skolem_X12929)), ~=(join(join(skolem_X02828, skolem_X23030), skolem_X12929), skolem_X12929)
% 0.18/0.44
% 0.18/0.44 [4] ALPHA_AND : (=(join(skolem_X02828, skolem_X12929), skolem_X12929) & =(join(skolem_X23030, skolem_X12929), skolem_X12929))
% 0.18/0.44 -> [5] =(join(skolem_X02828, skolem_X12929), skolem_X12929), =(join(skolem_X23030, skolem_X12929), skolem_X12929)
% 0.18/0.44
% 0.18/0.44 [5] GAMMA_FORALL : ! [X03_3, X14_4] : (=(join(X03_3, X14_4), join(X14_4, X03_3)))
% 0.18/0.44 -> [6] =(join(X03_0_0, X14_0_0), join(X14_0_0, X03_0_0))
% 0.18/0.44
% 0.18/0.44 [6] GAMMA_FORALL : ! [X05_5, X16_6, X27_7] : (=(join(X05_5, join(X16_6, X27_7)), join(join(X05_5, X16_6), X27_7)))
% 0.18/0.44 -> [7] =(join(X05_0_1, join(X16_0_1, X27_0_1)), join(join(X05_0_1, X16_0_1), X27_0_1))
% 0.18/0.44
% 0.18/0.44 [7] CLOSURE : =
% 0.18/0.44
% 0.18/0.44 % SZS output end Proof for theBenchmark.p
% 0.18/0.44 [0.103519s][1][Res] 296 goroutines created
% 0.18/0.44 ==== Result ====
% 0.18/0.44 [0.103566s][1][Res] VALID
% 0.18/0.44 % SZS status Theorem for theBenchmark.p
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