TSTP Solution File: GRP114-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP114-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n012.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 : 600s
% DateTime : Sat Jul 16 10:28:45 EDT 2022
% Result : Unsatisfiable 5.51s 1.74s
% Output : CNFRefutation 5.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP114-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n012.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 : 600
% 0.13/0.34 % DateTime : Tue Jun 14 01:39:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 16260: Facts:
% 0.13/0.34 16260: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.34 16260: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.34 16260: Id : 4, {_}:
% 0.13/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.34 16260: Id : 5, {_}: inverse identity =>= identity [] by inverse_of_identity
% 0.13/0.34 16260: Id : 6, {_}: inverse (inverse ?11) =>= ?11 [11] by inverse_involution ?11
% 0.13/0.34 16260: Id : 7, {_}:
% 0.13/0.34 inverse (multiply ?13 ?14) =<= multiply (inverse ?14) (inverse ?13)
% 0.13/0.34 [14, 13] by inverse_product_lemma ?13 ?14
% 0.13/0.34 16260: Id : 8, {_}: intersection ?16 ?16 =>= ?16 [16] by intersection_idempotent ?16
% 0.13/0.34 16260: Id : 9, {_}: union ?18 ?18 =>= ?18 [18] by union_idempotent ?18
% 0.13/0.34 16260: Id : 10, {_}:
% 0.13/0.34 intersection ?20 ?21 =?= intersection ?21 ?20
% 0.13/0.34 [21, 20] by intersection_commutative ?20 ?21
% 0.13/0.34 16260: Id : 11, {_}:
% 0.13/0.34 union ?23 ?24 =?= union ?24 ?23
% 0.13/0.34 [24, 23] by union_commutative ?23 ?24
% 0.13/0.34 16260: Id : 12, {_}:
% 0.13/0.34 intersection ?26 (intersection ?27 ?28)
% 0.13/0.34 =?=
% 0.13/0.34 intersection (intersection ?26 ?27) ?28
% 0.13/0.34 [28, 27, 26] by intersection_associative ?26 ?27 ?28
% 0.13/0.34 16260: Id : 13, {_}:
% 0.13/0.34 union ?30 (union ?31 ?32) =?= union (union ?30 ?31) ?32
% 0.13/0.34 [32, 31, 30] by union_associative ?30 ?31 ?32
% 0.13/0.34 16260: Id : 14, {_}:
% 0.13/0.34 union (intersection ?34 ?35) ?35 =>= ?35
% 0.13/0.34 [35, 34] by union_intersection_absorbtion ?34 ?35
% 0.13/0.34 16260: Id : 15, {_}:
% 0.13/0.34 intersection (union ?37 ?38) ?38 =>= ?38
% 0.13/0.34 [38, 37] by intersection_union_absorbtion ?37 ?38
% 0.13/0.34 16260: Id : 16, {_}:
% 0.13/0.34 multiply ?40 (union ?41 ?42)
% 0.13/0.34 =<=
% 0.13/0.34 union (multiply ?40 ?41) (multiply ?40 ?42)
% 0.13/0.34 [42, 41, 40] by multiply_union1 ?40 ?41 ?42
% 0.13/0.34 16260: Id : 17, {_}:
% 0.13/0.34 multiply ?44 (intersection ?45 ?46)
% 0.13/0.34 =<=
% 0.13/0.34 intersection (multiply ?44 ?45) (multiply ?44 ?46)
% 0.13/0.34 [46, 45, 44] by multiply_intersection1 ?44 ?45 ?46
% 0.13/0.34 16260: Id : 18, {_}:
% 0.13/0.34 multiply (union ?48 ?49) ?50
% 0.13/0.34 =<=
% 0.13/0.34 union (multiply ?48 ?50) (multiply ?49 ?50)
% 0.13/0.34 [50, 49, 48] by multiply_union2 ?48 ?49 ?50
% 0.13/0.34 16260: Id : 19, {_}:
% 0.13/0.34 multiply (intersection ?52 ?53) ?54
% 0.13/0.34 =<=
% 0.13/0.34 intersection (multiply ?52 ?54) (multiply ?53 ?54)
% 0.13/0.34 [54, 53, 52] by multiply_intersection2 ?52 ?53 ?54
% 0.13/0.34 16260: Id : 20, {_}:
% 0.13/0.34 positive_part ?56 =<= union ?56 identity
% 0.13/0.34 [56] by positive_part ?56
% 0.13/0.35 16260: Id : 21, {_}:
% 0.13/0.35 negative_part ?58 =<= intersection ?58 identity
% 0.13/0.35 [58] by negative_part ?58
% 0.13/0.35 16260: Goal:
% 0.13/0.35 16260: Id : 1, {_}:
% 0.13/0.35 multiply (positive_part a) (negative_part a) =>= a
% 0.13/0.35 [] by prove_product
% 5.51/1.74 Statistics :
% 5.51/1.74 Max weight : 16
% 5.51/1.74 Found proof, 1.392839s
% 5.51/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 5.51/1.74 % SZS output start CNFRefutation for theBenchmark.p
% 5.51/1.74 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 5.51/1.74 Id : 241, {_}: multiply (union ?684 ?685) ?686 =<= union (multiply ?684 ?686) (multiply ?685 ?686) [686, 685, 684] by multiply_union2 ?684 ?685 ?686
% 5.51/1.74 Id : 11, {_}: union ?23 ?24 =?= union ?24 ?23 [24, 23] by union_commutative ?23 ?24
% 5.51/1.74 Id : 8, {_}: intersection ?16 ?16 =>= ?16 [16] by intersection_idempotent ?16
% 5.51/1.74 Id : 12, {_}: intersection ?26 (intersection ?27 ?28) =?= intersection (intersection ?26 ?27) ?28 [28, 27, 26] by intersection_associative ?26 ?27 ?28
% 5.51/1.74 Id : 17, {_}: multiply ?44 (intersection ?45 ?46) =<= intersection (multiply ?44 ?45) (multiply ?44 ?46) [46, 45, 44] by multiply_intersection1 ?44 ?45 ?46
% 5.51/1.74 Id : 14, {_}: union (intersection ?34 ?35) ?35 =>= ?35 [35, 34] by union_intersection_absorbtion ?34 ?35
% 5.51/1.74 Id : 16, {_}: multiply ?40 (union ?41 ?42) =<= union (multiply ?40 ?41) (multiply ?40 ?42) [42, 41, 40] by multiply_union1 ?40 ?41 ?42
% 5.51/1.74 Id : 20, {_}: positive_part ?56 =<= union ?56 identity [56] by positive_part ?56
% 5.51/1.74 Id : 13, {_}: union ?30 (union ?31 ?32) =?= union (union ?30 ?31) ?32 [32, 31, 30] by union_associative ?30 ?31 ?32
% 5.51/1.74 Id : 15, {_}: intersection (union ?37 ?38) ?38 =>= ?38 [38, 37] by intersection_union_absorbtion ?37 ?38
% 5.51/1.74 Id : 19, {_}: multiply (intersection ?52 ?53) ?54 =<= intersection (multiply ?52 ?54) (multiply ?53 ?54) [54, 53, 52] by multiply_intersection2 ?52 ?53 ?54
% 5.51/1.74 Id : 21, {_}: negative_part ?58 =<= intersection ?58 identity [58] by negative_part ?58
% 5.51/1.74 Id : 10, {_}: intersection ?20 ?21 =?= intersection ?21 ?20 [21, 20] by intersection_commutative ?20 ?21
% 5.51/1.74 Id : 276, {_}: multiply (intersection ?769 ?770) ?771 =<= intersection (multiply ?769 ?771) (multiply ?770 ?771) [771, 770, 769] by multiply_intersection2 ?769 ?770 ?771
% 5.51/1.74 Id : 6, {_}: inverse (inverse ?11) =>= ?11 [11] by inverse_involution ?11
% 5.51/1.74 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 5.51/1.74 Id : 5, {_}: inverse identity =>= identity [] by inverse_of_identity
% 5.51/1.74 Id : 58, {_}: inverse (multiply ?149 ?150) =<= multiply (inverse ?150) (inverse ?149) [150, 149] by inverse_product_lemma ?149 ?150
% 5.51/1.74 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 5.51/1.74 Id : 26, {_}: multiply (multiply ?67 ?68) ?69 =?= multiply ?67 (multiply ?68 ?69) [69, 68, 67] by associativity ?67 ?68 ?69
% 5.51/1.74 Id : 28, {_}: multiply (multiply ?74 (inverse ?75)) ?75 =>= multiply ?74 identity [75, 74] by Super 26 with 3 at 2,3
% 5.51/1.74 Id : 59, {_}: inverse (multiply identity ?152) =<= multiply (inverse ?152) identity [152] by Super 58 with 5 at 2,3
% 5.51/1.74 Id : 415, {_}: inverse ?982 =<= multiply (inverse ?982) identity [982] by Demod 59 with 2 at 1,2
% 5.51/1.74 Id : 417, {_}: inverse (inverse ?985) =<= multiply ?985 identity [985] by Super 415 with 6 at 1,3
% 5.51/1.74 Id : 431, {_}: ?985 =<= multiply ?985 identity [985] by Demod 417 with 6 at 2
% 5.51/1.74 Id : 6195, {_}: multiply (multiply ?74 (inverse ?75)) ?75 =>= ?74 [75, 74] by Demod 28 with 431 at 3
% 5.51/1.74 Id : 62, {_}: inverse (multiply ?159 (inverse ?160)) =>= multiply ?160 (inverse ?159) [160, 159] by Super 58 with 6 at 1,3
% 5.51/1.74 Id : 283, {_}: multiply (intersection (inverse ?796) ?797) ?796 =>= intersection identity (multiply ?797 ?796) [797, 796] by Super 276 with 3 at 1,3
% 5.51/1.74 Id : 329, {_}: intersection identity ?869 =>= negative_part ?869 [869] by Super 10 with 21 at 3
% 5.51/1.74 Id : 9763, {_}: multiply (intersection (inverse ?11151) ?11152) ?11151 =>= negative_part (multiply ?11152 ?11151) [11152, 11151] by Demod 283 with 329 at 3
% 5.51/1.74 Id : 9777, {_}: multiply (negative_part (inverse ?11192)) ?11192 =>= negative_part (multiply identity ?11192) [11192] by Super 9763 with 21 at 1,2
% 5.51/1.74 Id : 9833, {_}: multiply (negative_part (inverse ?11192)) ?11192 =>= negative_part ?11192 [11192] by Demod 9777 with 2 at 1,3
% 5.51/1.74 Id : 9864, {_}: inverse (negative_part (inverse ?11222)) =<= multiply ?11222 (inverse (negative_part (inverse (inverse ?11222)))) [11222] by Super 62 with 9833 at 1,2
% 5.51/1.74 Id : 9909, {_}: inverse (negative_part (inverse ?11222)) =<= multiply ?11222 (inverse (negative_part ?11222)) [11222] by Demod 9864 with 6 at 1,1,2,3
% 5.51/1.74 Id : 10034, {_}: multiply (inverse (negative_part (inverse ?11385))) (negative_part ?11385) =>= ?11385 [11385] by Super 6195 with 9909 at 1,2
% 5.51/1.74 Id : 9744, {_}: multiply (intersection (inverse ?796) ?797) ?796 =>= negative_part (multiply ?797 ?796) [797, 796] by Demod 283 with 329 at 3
% 5.51/1.74 Id : 9759, {_}: inverse (negative_part (multiply ?11139 (inverse ?11140))) =<= multiply ?11140 (inverse (intersection (inverse (inverse ?11140)) ?11139)) [11140, 11139] by Super 62 with 9744 at 1,2
% 5.51/1.74 Id : 9787, {_}: inverse (negative_part (multiply ?11139 (inverse ?11140))) =<= multiply ?11140 (inverse (intersection ?11140 ?11139)) [11140, 11139] by Demod 9759 with 6 at 1,1,2,3
% 5.51/1.74 Id : 49, {_}: multiply ?130 (inverse ?130) =>= identity [130] by Super 3 with 6 at 1,2
% 5.51/1.74 Id : 484, {_}: multiply (intersection ?1037 ?1038) (inverse ?1038) =>= intersection (multiply ?1037 (inverse ?1038)) identity [1038, 1037] by Super 19 with 49 at 2,3
% 5.51/1.74 Id : 517, {_}: multiply (intersection ?1037 ?1038) (inverse ?1038) =>= intersection identity (multiply ?1037 (inverse ?1038)) [1038, 1037] by Demod 484 with 10 at 3
% 5.51/1.74 Id : 518, {_}: multiply (intersection ?1037 ?1038) (inverse ?1038) =>= negative_part (multiply ?1037 (inverse ?1038)) [1038, 1037] by Demod 517 with 329 at 3
% 5.51/1.74 Id : 312, {_}: union ?841 (union ?842 identity) =>= positive_part (union ?841 ?842) [842, 841] by Super 13 with 20 at 3
% 5.51/1.74 Id : 324, {_}: union ?841 (positive_part ?842) =>= positive_part (union ?841 ?842) [842, 841] by Demod 312 with 20 at 2,2
% 5.51/1.74 Id : 33198, {_}: intersection (positive_part (union ?34210 ?34211)) (positive_part ?34211) =>= positive_part ?34211 [34211, 34210] by Super 15 with 324 at 1,2
% 5.51/1.74 Id : 436, {_}: multiply ?996 (union ?997 identity) =?= union (multiply ?996 ?997) ?996 [997, 996] by Super 16 with 431 at 2,3
% 5.51/1.74 Id : 460, {_}: multiply ?996 (positive_part ?997) =<= union (multiply ?996 ?997) ?996 [997, 996] by Demod 436 with 20 at 2,2
% 5.51/1.74 Id : 10036, {_}: multiply ?11389 (positive_part (inverse (negative_part ?11389))) =>= union (inverse (negative_part (inverse ?11389))) ?11389 [11389] by Super 460 with 9909 at 1,3
% 5.51/1.74 Id : 382, {_}: union (negative_part ?935) ?935 =>= ?935 [935] by Super 14 with 329 at 1,2
% 5.51/1.74 Id : 442, {_}: multiply ?1010 (intersection ?1011 identity) =?= intersection (multiply ?1010 ?1011) ?1010 [1011, 1010] by Super 17 with 431 at 2,3
% 5.51/1.74 Id : 1809, {_}: multiply ?2821 (negative_part ?2822) =<= intersection (multiply ?2821 ?2822) ?2821 [2822, 2821] by Demod 442 with 21 at 2,2
% 5.51/1.74 Id : 1811, {_}: multiply (inverse ?2826) (negative_part ?2826) =>= intersection identity (inverse ?2826) [2826] by Super 1809 with 3 at 1,3
% 5.51/1.74 Id : 1858, {_}: multiply (inverse ?2898) (negative_part ?2898) =>= negative_part (inverse ?2898) [2898] by Demod 1811 with 329 at 3
% 5.51/1.74 Id : 332, {_}: intersection ?876 (intersection ?877 identity) =>= negative_part (intersection ?876 ?877) [877, 876] by Super 12 with 21 at 3
% 5.51/1.74 Id : 581, {_}: intersection ?1188 (negative_part ?1189) =>= negative_part (intersection ?1188 ?1189) [1189, 1188] by Demod 332 with 21 at 2,2
% 5.51/1.74 Id : 328, {_}: negative_part identity =>= identity [] by Super 8 with 21 at 2
% 5.51/1.74 Id : 582, {_}: intersection ?1191 identity =<= negative_part (intersection ?1191 identity) [1191] by Super 581 with 328 at 2,2
% 5.51/1.74 Id : 596, {_}: negative_part ?1191 =<= negative_part (intersection ?1191 identity) [1191] by Demod 582 with 21 at 2
% 5.51/1.74 Id : 597, {_}: negative_part ?1191 =<= negative_part (negative_part ?1191) [1191] by Demod 596 with 21 at 1,3
% 5.51/1.74 Id : 1863, {_}: multiply (inverse (negative_part ?2909)) (negative_part ?2909) =>= negative_part (inverse (negative_part ?2909)) [2909] by Super 1858 with 597 at 2,2
% 5.51/1.74 Id : 1889, {_}: identity =<= negative_part (inverse (negative_part ?2909)) [2909] by Demod 1863 with 3 at 2
% 5.51/1.74 Id : 1943, {_}: union identity (inverse (negative_part ?2984)) =>= inverse (negative_part ?2984) [2984] by Super 382 with 1889 at 1,2
% 5.51/1.74 Id : 309, {_}: union identity ?834 =>= positive_part ?834 [834] by Super 11 with 20 at 3
% 5.51/1.74 Id : 1961, {_}: positive_part (inverse (negative_part ?2984)) =>= inverse (negative_part ?2984) [2984] by Demod 1943 with 309 at 2
% 5.51/1.74 Id : 10097, {_}: multiply ?11389 (inverse (negative_part ?11389)) =<= union (inverse (negative_part (inverse ?11389))) ?11389 [11389] by Demod 10036 with 1961 at 2,2
% 5.51/1.74 Id : 10098, {_}: inverse (negative_part (inverse ?11389)) =<= union (inverse (negative_part (inverse ?11389))) ?11389 [11389] by Demod 10097 with 9909 at 2
% 5.51/1.74 Id : 33269, {_}: intersection (positive_part (inverse (negative_part (inverse ?34436)))) (positive_part ?34436) =>= positive_part ?34436 [34436] by Super 33198 with 10098 at 1,1,2
% 5.51/1.74 Id : 33468, {_}: intersection (inverse (negative_part (inverse ?34436))) (positive_part ?34436) =>= positive_part ?34436 [34436] by Demod 33269 with 1961 at 1,2
% 5.51/1.74 Id : 33469, {_}: intersection (positive_part ?34436) (inverse (negative_part (inverse ?34436))) =>= positive_part ?34436 [34436] by Demod 33468 with 10 at 2
% 5.51/1.74 Id : 33519, {_}: multiply (positive_part ?34525) (inverse (inverse (negative_part (inverse ?34525)))) =<= negative_part (multiply (positive_part ?34525) (inverse (inverse (negative_part (inverse ?34525))))) [34525] by Super 518 with 33469 at 1,2
% 5.51/1.74 Id : 33592, {_}: multiply (positive_part ?34525) (negative_part (inverse ?34525)) =<= negative_part (multiply (positive_part ?34525) (inverse (inverse (negative_part (inverse ?34525))))) [34525] by Demod 33519 with 6 at 2,2
% 5.51/1.74 Id : 33593, {_}: multiply (positive_part ?34525) (negative_part (inverse ?34525)) =<= negative_part (multiply (positive_part ?34525) (negative_part (inverse ?34525))) [34525] by Demod 33592 with 6 at 2,1,3
% 5.51/1.74 Id : 455, {_}: multiply ?1010 (negative_part ?1011) =<= intersection (multiply ?1010 ?1011) ?1010 [1011, 1010] by Demod 442 with 21 at 2,2
% 5.51/1.74 Id : 248, {_}: multiply (union (inverse ?711) ?712) ?711 =>= union identity (multiply ?712 ?711) [712, 711] by Super 241 with 3 at 1,3
% 5.51/1.74 Id : 6687, {_}: multiply (union (inverse ?8716) ?8717) ?8716 =>= positive_part (multiply ?8717 ?8716) [8717, 8716] by Demod 248 with 309 at 3
% 5.51/1.74 Id : 6701, {_}: multiply (positive_part (inverse ?8757)) ?8757 =>= positive_part (multiply identity ?8757) [8757] by Super 6687 with 20 at 1,2
% 5.51/1.74 Id : 6774, {_}: multiply (positive_part (inverse ?8819)) ?8819 =>= positive_part ?8819 [8819] by Demod 6701 with 2 at 1,3
% 5.51/1.74 Id : 6776, {_}: multiply (positive_part ?8822) (inverse ?8822) =>= positive_part (inverse ?8822) [8822] by Super 6774 with 6 at 1,1,2
% 5.51/1.74 Id : 6840, {_}: multiply (positive_part ?8875) (negative_part (inverse ?8875)) =>= intersection (positive_part (inverse ?8875)) (positive_part ?8875) [8875] by Super 455 with 6776 at 1,3
% 5.51/1.74 Id : 33594, {_}: intersection (positive_part (inverse ?34525)) (positive_part ?34525) =<= negative_part (multiply (positive_part ?34525) (negative_part (inverse ?34525))) [34525] by Demod 33593 with 6840 at 2
% 5.51/1.74 Id : 327, {_}: negative_part (union ?866 identity) =>= identity [866] by Super 15 with 21 at 2
% 5.51/1.74 Id : 346, {_}: negative_part (positive_part ?866) =>= identity [866] by Demod 327 with 20 at 1,2
% 5.51/1.74 Id : 583, {_}: intersection ?1193 identity =<= negative_part (intersection ?1193 (positive_part ?1194)) [1194, 1193] by Super 581 with 346 at 2,2
% 5.51/1.74 Id : 598, {_}: negative_part ?1193 =<= negative_part (intersection ?1193 (positive_part ?1194)) [1194, 1193] by Demod 583 with 21 at 2
% 5.51/1.74 Id : 1807, {_}: negative_part (multiply (positive_part ?2815) ?2816) =<= negative_part (multiply (positive_part ?2815) (negative_part ?2816)) [2816, 2815] by Super 598 with 455 at 1,3
% 5.51/1.74 Id : 33595, {_}: intersection (positive_part (inverse ?34525)) (positive_part ?34525) =>= negative_part (multiply (positive_part ?34525) (inverse ?34525)) [34525] by Demod 33594 with 1807 at 3
% 5.51/1.74 Id : 33596, {_}: intersection (positive_part (inverse ?34525)) (positive_part ?34525) =>= negative_part (positive_part (inverse ?34525)) [34525] by Demod 33595 with 6776 at 1,3
% 5.51/1.74 Id : 33597, {_}: intersection (positive_part (inverse ?34525)) (positive_part ?34525) =>= identity [34525] by Demod 33596 with 346 at 3
% 5.51/1.74 Id : 33817, {_}: inverse (negative_part (multiply (positive_part ?34737) (inverse (positive_part (inverse ?34737))))) =>= multiply (positive_part (inverse ?34737)) (inverse identity) [34737] by Super 9787 with 33597 at 1,2,3
% 5.51/1.74 Id : 490, {_}: multiply (multiply ?1052 ?1053) (inverse ?1053) =>= multiply ?1052 identity [1053, 1052] by Super 4 with 49 at 2,3
% 5.51/1.74 Id : 12465, {_}: multiply (multiply ?13477 ?13478) (inverse ?13478) =>= ?13477 [13478, 13477] by Demod 490 with 431 at 3
% 5.51/1.74 Id : 2307, {_}: multiply ?3361 (positive_part ?3362) =<= union (multiply ?3361 ?3362) ?3361 [3362, 3361] by Demod 436 with 20 at 2,2
% 5.51/1.74 Id : 2311, {_}: multiply ?3372 (positive_part (inverse ?3372)) =>= union identity ?3372 [3372] by Super 2307 with 49 at 1,3
% 5.51/1.74 Id : 2346, {_}: multiply ?3372 (positive_part (inverse ?3372)) =>= positive_part ?3372 [3372] by Demod 2311 with 309 at 3
% 5.51/1.74 Id : 12482, {_}: multiply (positive_part ?13524) (inverse (positive_part (inverse ?13524))) =>= ?13524 [13524] by Super 12465 with 2346 at 1,2
% 5.51/1.74 Id : 33878, {_}: inverse (negative_part ?34737) =<= multiply (positive_part (inverse ?34737)) (inverse identity) [34737] by Demod 33817 with 12482 at 1,1,2
% 5.51/1.74 Id : 33879, {_}: inverse (negative_part ?34737) =<= multiply (positive_part (inverse ?34737)) identity [34737] by Demod 33878 with 5 at 2,3
% 5.51/1.74 Id : 33880, {_}: inverse (negative_part ?34737) =>= positive_part (inverse ?34737) [34737] by Demod 33879 with 431 at 3
% 5.51/1.74 Id : 34073, {_}: multiply (positive_part (inverse (inverse ?11385))) (negative_part ?11385) =>= ?11385 [11385] by Demod 10034 with 33880 at 1,2
% 5.51/1.74 Id : 34201, {_}: multiply (positive_part ?11385) (negative_part ?11385) =>= ?11385 [11385] by Demod 34073 with 6 at 1,1,2
% 5.51/1.74 Id : 34504, {_}: a === a [] by Demod 1 with 34201 at 2
% 5.51/1.74 Id : 1, {_}: multiply (positive_part a) (negative_part a) =>= a [] by prove_product
% 5.51/1.74 % SZS output end CNFRefutation for theBenchmark.p
% 5.51/1.74 16263: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.397448 using nrkbo
%------------------------------------------------------------------------------