0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : goeland -dmt -presko -proof %s 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 02:34:20 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.36 [DMT] DMT loaded with preskolemization 0.13/0.36 [EQ] equality loaded. 0.13/0.36 [0.000040s][1][MAIN] Problem : theBenchmark.p 0.13/0.36 Start search 0.13/0.36 nb_step : 1 - limit : 12 0.13/0.36 Launch Gotab with destructive = true 195.90/27.18 % SZS output start Proof for theBenchmark.p 195.90/27.19 [0] ALPHA_AND : (! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) & ! [B7_7, C8_8] : ((intersect(B7_7, C8_8) => intersect(C8_8, B7_7))) & ! [B9_9] : (~member(B9_9, empty_set)) & ! [B13_13, C14_14] : (=(intersection(C14_14, B13_13), intersection(B13_13, C14_14))) & ! [B15_15, C16_16] : ((! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))) <=> =(B15_15, C16_16))) & ~! [B3_3, C4_4] : ((not_equal(intersection(B3_3, C4_4), empty_set) <=> intersect(B3_3, C4_4)))) 195.90/27.19 -> [1] ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))), ! [B7_7, C8_8] : ((intersect(B7_7, C8_8) => intersect(C8_8, B7_7))), ! [B9_9] : (~member(B9_9, empty_set)), ! [B13_13, C14_14] : (=(intersection(C14_14, B13_13), intersection(B13_13, C14_14))), ! [B15_15, C16_16] : ((! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))) <=> =(B15_15, C16_16))), ~! [B3_3, C4_4] : ((not_equal(intersection(B3_3, C4_4), empty_set) <=> intersect(B3_3, C4_4))) 195.90/27.19 195.90/27.19 [1] DELTA_NOT_FORALL : ~! [B3_3, C4_4] : ((not_equal(intersection(B3_3, C4_4), empty_set) <=> intersect(B3_3, C4_4))) 195.90/27.19 -> [2] ~(not_equal(intersection(skolem_B33, skolem_C44), empty_set) <=> intersect(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2] BETA_NOT_EQUIV : ~(not_equal(intersection(skolem_B33, skolem_C44), empty_set) <=> intersect(skolem_B33, skolem_C44)) 195.90/27.19 -> [3] ~not_equal(intersection(skolem_B33, skolem_C44), empty_set), intersect(skolem_B33, skolem_C44) 195.90/27.19 -> [4] not_equal(intersection(skolem_B33, skolem_C44), empty_set), ~intersect(skolem_B33, skolem_C44) 195.90/27.19 195.90/27.19 [3] Rewrite : intersect(skolem_B33, skolem_C44) 195.90/27.19 -> [6] (member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 195.90/27.19 [6] ALPHA_AND : (member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 -> [7] member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33), member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44) 195.90/27.19 195.90/27.19 [7] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [12] (not_equal(intersection(skolem_B33, skolem_C44), empty_set) <=> ~=(empty_set, intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [12] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), empty_set) <=> ~=(empty_set, intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [13] ~not_equal(intersection(skolem_B33, skolem_C44), empty_set), ~~=(empty_set, intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [14] not_equal(intersection(skolem_B33, skolem_C44), empty_set), ~=(empty_set, intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [14] CLOSURE : ~=(empty_set, intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [16] BETA_IMPLY : (intersect(skolem_B33, skolem_B33) => intersect(skolem_B33, skolem_B33)) 195.90/27.19 -> [74] ~intersect(skolem_B33, skolem_B33) 195.90/27.19 -> [75] intersect(skolem_B33, skolem_B33) 195.90/27.19 195.90/27.19 [74] Rewrite : ~intersect(skolem_B33, skolem_C44) 195.90/27.19 -> [76] ~? [D12_12] : ((member(D12_12, skolem_B33) & member(D12_12, skolem_C44))) 195.90/27.19 195.90/27.19 [76] GAMMA_FORALL : ! [B9_9] : (~member(B9_9, empty_set)) 195.90/27.19 -> [77] ~member(B9_4_2, empty_set) 195.90/27.19 195.90/27.19 [77] GAMMA_FORALL : ! [B13_13, C14_14] : (=(intersection(C14_14, B13_13), intersection(B13_13, C14_14))) 195.90/27.19 -> [85] =(intersection(C14_1_3, B13_1_3), intersection(B13_1_3, C14_1_3)) 195.90/27.19 195.90/27.19 [85] GAMMA_FORALL : ! [B15_15, C16_16] : ((! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))) <=> =(B15_15, C16_16))) 195.90/27.19 -> [140] (! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))) <=> =(C16_1_4, C16_1_4)) 195.90/27.19 195.90/27.19 [140] BETA_EQUIV : (! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))) <=> =(C16_1_4, C16_1_4)) 195.90/27.19 -> [141] ~! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))), ~=(C16_1_4, C16_1_4) 195.90/27.19 -> [142] ! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))), =(C16_1_4, C16_1_4) 195.90/27.19 195.90/27.19 [141] DELTA_NOT_FORALL : ~! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))) 195.90/27.19 -> [143] ~(member(skolem_D1717(C16_1_4, C16_1_4), C16_1_4) <=> member(skolem_D1717(C16_1_4, C16_1_4), C16_1_4)) 195.90/27.19 195.90/27.19 [143] CLOSURE : ~! [D17_17] : ((member(D17_17, C16_1_4) <=> member(D17_17, C16_1_4))) 195.90/27.19 195.90/27.19 [142] GAMMA_NOT_EXISTS : ~? [D12_12] : ((member(D12_12, skolem_B33) & member(D12_12, skolem_C44))) 195.90/27.19 -> [200] ~(member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 195.90/27.19 [200] BETA_NOT_AND : ~(member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 -> [201] ~member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) 195.90/27.19 -> [202] ~member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44) 195.90/27.19 195.90/27.19 [201] CLOSURE : = 195.90/27.19 195.90/27.19 [202] CLOSURE : = 195.90/27.19 195.90/27.19 [75] ALPHA_AND : (member(skolem_D1212(skolem_B33, skolem_B33), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_B33), skolem_B33)) 195.90/27.19 -> [207] member(skolem_D1212(skolem_B33, skolem_B33), skolem_B33) 195.90/27.19 195.90/27.19 [207] GAMMA_FORALL : ! [B9_9] : (~member(B9_9, empty_set)) 195.90/27.19 -> [208] ~member(skolem_D1212(skolem_B33, skolem_C44), empty_set) 195.90/27.19 195.90/27.19 [208] GAMMA_FORALL : ! [B13_13, C14_14] : (=(intersection(C14_14, B13_13), intersection(B13_13, C14_14))) 195.90/27.19 -> [228] =(intersection(C14_2_3, B13_2_3), intersection(B13_2_3, C14_2_3)) 195.90/27.19 195.90/27.19 [228] GAMMA_FORALL : ! [B15_15, C16_16] : ((! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))) <=> =(B15_15, C16_16))) 195.90/27.19 -> [255] (! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) <=> =(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [255] BETA_EQUIV : (! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) <=> =(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [256] ~! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))), ~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [257] ! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))), =(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [256] DELTA_NOT_FORALL : ~! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) 195.90/27.19 -> [258] ~(member(skolem_D1717(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), intersection(skolem_B33, skolem_C44)) <=> member(skolem_D1717(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [258] CLOSURE : ~! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) 195.90/27.19 195.90/27.19 [257] GAMMA_FORALL : ! [D17_17] : ((member(D17_17, intersection(skolem_B33, skolem_C44)) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) 195.90/27.19 -> [328] (member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) <=> member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [328] BETA_EQUIV : (member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) <=> member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [329] ~member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [330] member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [330] CLOSURE : = 195.90/27.19 195.90/27.19 [329] Rewrite : ~member(skolem_D1212(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [355] ~(member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 195.90/27.19 [355] BETA_NOT_AND : ~(member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) & member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44)) 195.90/27.19 -> [356] ~member(skolem_D1212(skolem_B33, skolem_C44), skolem_B33) 195.90/27.19 -> [357] ~member(skolem_D1212(skolem_B33, skolem_C44), skolem_C44) 195.90/27.19 195.90/27.19 [356] CLOSURE : = 195.90/27.19 195.90/27.19 [357] CLOSURE : = 195.90/27.19 195.90/27.19 [4] Rewrite : ~intersect(skolem_B33, skolem_C44) 195.90/27.19 -> [5] ~? [D12_12] : ((member(D12_12, skolem_B33) & member(D12_12, skolem_C44))) 195.90/27.19 195.90/27.19 [5] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [8] (not_equal(B5_0_0, B5_0_0) <=> ~=(B5_0_0, B5_0_0)) 195.90/27.19 195.90/27.19 [8] BETA_EQUIV : (not_equal(B5_0_0, B5_0_0) <=> ~=(B5_0_0, B5_0_0)) 195.90/27.19 -> [9] ~not_equal(B5_0_0, B5_0_0), ~~=(B5_0_0, B5_0_0) 195.90/27.19 -> [10] not_equal(B5_0_0, B5_0_0), ~=(B5_0_0, B5_0_0) 195.90/27.19 195.90/27.19 [10] CLOSURE : ~=(B5_0_0, B5_0_0) 195.90/27.19 195.90/27.19 [11] GAMMA_FORALL : ! [B7_7, C8_8] : ((intersect(B7_7, C8_8) => intersect(C8_8, B7_7))) 195.90/27.19 -> [22] (intersect(intersection(skolem_C44, skolem_B33), empty_set) => intersect(empty_set, intersection(skolem_C44, skolem_B33))) 195.90/27.19 195.90/27.19 [22] BETA_IMPLY : (intersect(intersection(skolem_C44, skolem_B33), empty_set) => intersect(empty_set, intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [24] ~intersect(intersection(skolem_C44, skolem_B33), empty_set) 195.90/27.19 -> [25] intersect(empty_set, intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [25] Rewrite : intersect(empty_set, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [27] (member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), empty_set) & member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33))) 195.90/27.19 195.90/27.19 [27] ALPHA_AND : (member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), empty_set) & member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [29] member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), empty_set), member(skolem_D1212(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [29] GAMMA_FORALL : ! [B9_9] : (~member(B9_9, empty_set)) 195.90/27.19 -> [32] ~member(B9_3_2, empty_set) 195.90/27.19 195.90/27.19 [32] CLOSURE : = 195.90/27.19 195.90/27.19 [24] GAMMA_FORALL : ! [B9_9] : (~member(B9_9, empty_set)) 195.90/27.19 -> [1389] ~member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), empty_set) 195.90/27.19 195.90/27.19 [1389] GAMMA_FORALL : ! [B13_13, C14_14] : (=(intersection(C14_14, B13_13), intersection(B13_13, C14_14))) 195.90/27.19 -> [1390] =(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1390] GAMMA_FORALL : ! [B15_15, C16_16] : ((! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))) <=> =(B15_15, C16_16))) 195.90/27.19 -> [1391] (! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_C44, skolem_B33)))) <=> =(empty_set, intersection(skolem_C44, skolem_B33))) 195.90/27.19 195.90/27.19 [1391] BETA_EQUIV : (! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_C44, skolem_B33)))) <=> =(empty_set, intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [1392] ~! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_C44, skolem_B33)))), ~=(empty_set, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [1393] ! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_C44, skolem_B33)))), =(empty_set, intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [1393] GAMMA_NOT_EXISTS : ~? [D12_12] : ((member(D12_12, skolem_B33) & member(D12_12, skolem_C44))) 195.90/27.19 -> [1394] ~(member(D12_86_5, skolem_B33) & member(D12_86_5, skolem_C44)) 195.90/27.19 195.90/27.19 [1394] BETA_NOT_AND : ~(member(D12_86_5, skolem_B33) & member(D12_86_5, skolem_C44)) 195.90/27.19 -> [1395] ~member(D12_86_5, skolem_B33) 195.90/27.19 -> [1396] ~member(D12_86_5, skolem_C44) 195.90/27.19 195.90/27.19 [1395] GAMMA_NOT_EXISTS : ~? [D12_12] : ((member(D12_12, empty_set) & member(D12_12, empty_set))) 195.90/27.19 -> [1398] ~(member(D12_87_6, empty_set) & member(D12_87_6, empty_set)) 195.90/27.19 195.90/27.19 [1398] BETA_NOT_AND : ~(member(D12_87_6, empty_set) & member(D12_87_6, empty_set)) 195.90/27.19 -> [1400] ~member(D12_87_6, empty_set) 195.90/27.19 -> [1401] ~member(D12_87_6, empty_set) 195.90/27.19 195.90/27.19 [1401] GAMMA_FORALL : ! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) 195.90/27.19 -> [1411] (member(D17_19_7, empty_set) <=> member(D17_19_7, intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [1411] BETA_EQUIV : (member(D17_19_7, empty_set) <=> member(D17_19_7, intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [1414] ~member(D17_19_7, empty_set), ~member(D17_19_7, intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1415] member(D17_19_7, empty_set), member(D17_19_7, intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1415] CLOSURE : = 195.90/27.19 195.90/27.19 [1425] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) <=> ~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [1972] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), ~~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1973] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), ~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1972] ALPHA_NOT_NOT : ~~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1988] =(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1988] CLOSURE : = 195.90/27.19 195.90/27.19 [1973] CLOSURE : = 195.90/27.19 195.90/27.19 [1404] BETA_EQUIV : (member(D17_16_7, empty_set) <=> member(D17_16_7, intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [1990] ~member(D17_16_7, empty_set), ~member(D17_16_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [1991] member(D17_16_7, empty_set), member(D17_16_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [1990] Rewrite : ~member(D17_16_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [1992] ~(member(D17_16_7, skolem_C44) & member(D17_16_7, skolem_B33)) 195.90/27.19 195.90/27.19 [1992] BETA_NOT_AND : ~(member(D17_16_7, skolem_C44) & member(D17_16_7, skolem_B33)) 195.90/27.19 -> [1993] ~member(D17_16_7, skolem_C44) 195.90/27.19 -> [1994] ~member(D17_16_7, skolem_B33) 195.90/27.19 195.90/27.19 [1994] : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [1996] ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 195.90/27.19 [1996] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [1998] (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [1998] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [2001] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2002] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2002] CLOSURE : = 195.90/27.19 195.90/27.19 [2001] ALPHA_NOT_NOT : ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2003] =(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2003] CLOSURE : = 195.90/27.19 195.90/27.19 [1993] : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [1995] ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 195.90/27.19 [1995] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [1997] (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [1997] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [1999] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2000] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2000] CLOSURE : = 195.90/27.19 195.90/27.19 [1999] ALPHA_NOT_NOT : ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2004] =(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2004] CLOSURE : = 195.90/27.19 195.90/27.19 [1991] CLOSURE : = 195.90/27.19 195.90/27.19 [1396] GAMMA_NOT_EXISTS : ~? [D12_12] : ((member(D12_12, empty_set) & member(D12_12, empty_set))) 195.90/27.19 -> [1399] ~(member(D12_88_6, empty_set) & member(D12_88_6, empty_set)) 195.90/27.19 195.90/27.19 [1399] BETA_NOT_AND : ~(member(D12_88_6, empty_set) & member(D12_88_6, empty_set)) 195.90/27.19 -> [1402] ~member(D12_88_6, empty_set) 195.90/27.19 -> [1403] ~member(D12_88_6, empty_set) 195.90/27.19 195.90/27.19 [1403] GAMMA_FORALL : ! [D17_17] : ((member(D17_17, empty_set) <=> member(D17_17, intersection(skolem_B33, skolem_C44)))) 195.90/27.19 -> [1410] (member(D12_88_6, empty_set) <=> member(D12_88_6, intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [1410] BETA_EQUIV : (member(D12_88_6, empty_set) <=> member(D12_88_6, intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [1412] ~member(D12_88_6, empty_set), ~member(D12_88_6, intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1413] member(D12_88_6, empty_set), member(D12_88_6, intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1413] CLOSURE : = 195.90/27.19 195.90/27.19 [1429] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) <=> ~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [1950] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), ~~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1951] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)), ~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1950] ALPHA_NOT_NOT : ~~=(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [1952] =(intersection(skolem_B33, skolem_C44), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [1952] CLOSURE : = 195.90/27.19 195.90/27.19 [1951] CLOSURE : = 195.90/27.19 195.90/27.19 [1407] BETA_EQUIV : (member(D17_17_7, empty_set) <=> member(D17_17_7, intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [2005] ~member(D17_17_7, empty_set), ~member(D17_17_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [2006] member(D17_17_7, empty_set), member(D17_17_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [2005] Rewrite : ~member(D17_17_7, intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [2007] ~(member(D17_17_7, skolem_C44) & member(D17_17_7, skolem_B33)) 195.90/27.19 195.90/27.19 [2007] BETA_NOT_AND : ~(member(D17_17_7, skolem_C44) & member(D17_17_7, skolem_B33)) 195.90/27.19 -> [2008] ~member(D17_17_7, skolem_C44) 195.90/27.19 -> [2009] ~member(D17_17_7, skolem_B33) 195.90/27.19 195.90/27.19 [2009] : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [2011] ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 195.90/27.19 [2011] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [2013] (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [2013] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [2016] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2017] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2017] CLOSURE : = 195.90/27.19 195.90/27.19 [2016] ALPHA_NOT_NOT : ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2019] =(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2019] CLOSURE : = 195.90/27.19 195.90/27.19 [2008] : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [2010] ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 195.90/27.19 [2010] GAMMA_FORALL : ! [B5_5, C6_6] : ((not_equal(B5_5, C6_6) <=> ~=(C6_6, B5_5))) 195.90/27.19 -> [2012] (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 195.90/27.19 [2012] BETA_EQUIV : (not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)) <=> ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44))) 195.90/27.19 -> [2014] ~not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2015] not_equal(intersection(skolem_B33, skolem_C44), intersection(skolem_C44, skolem_B33)), ~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2015] CLOSURE : = 195.90/27.19 195.90/27.19 [2014] ALPHA_NOT_NOT : ~~=(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 -> [2018] =(intersection(skolem_C44, skolem_B33), intersection(skolem_B33, skolem_C44)) 195.90/27.19 195.90/27.19 [2018] CLOSURE : = 195.90/27.19 195.90/27.19 [2006] CLOSURE : = 195.90/27.19 195.90/27.19 [1397] BETA_NOT_EQUIV : ~(member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), empty_set) <=> member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33))) 195.90/27.19 -> [2827] ~member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), empty_set), member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [2828] member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), empty_set), ~member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33)) 195.90/27.19 195.90/27.19 [2828] CLOSURE : = 195.90/27.19 195.90/27.19 [2827] Rewrite : member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), intersection(skolem_C44, skolem_B33)) 195.90/27.19 -> [2829] (member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44) & member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33)) 195.90/27.19 195.90/27.19 [2829] ALPHA_AND : (member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44) & member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33)) 195.90/27.19 -> [2830] member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44), member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33) 195.90/27.19 195.90/27.19 [2830] GAMMA_NOT_EXISTS : ~? [D12_12] : ((member(D12_12, skolem_B33) & member(D12_12, skolem_C44))) 195.90/27.19 -> [2831] ~(member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33) & member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44)) 195.90/27.19 195.90/27.19 [2831] BETA_NOT_AND : ~(member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33) & member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44)) 195.90/27.19 -> [2832] ~member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_B33) 195.90/27.19 -> [2833] ~member(skolem_D1717(empty_set, intersection(skolem_C44, skolem_B33)), skolem_C44) 195.90/27.19 195.90/27.19 [2833] CLOSURE : = 195.90/27.19 195.90/27.19 [2832] CLOSURE : = 195.90/27.19 195.90/27.19 % SZS output end Proof for theBenchmark.p 195.90/27.19 [26.830966s][1][Res] 181032 goroutines created 195.90/27.19 ==== Result ==== 195.90/27.19 [26.830985s][1][Res] VALID 195.90/27.19 % SZS status Theorem for theBenchmark.p 195.90/27.19 EOF